TPTP Problem File: SWX137_1.p
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%------------------------------------------------------------------------------
% File : SWX137_1 : TPTP v9.3.0. Released v9.3.0.
% Domain : Software Verification
% Problem : Neural network verification problem B_015
% Version : Especial.
% English :
% Refs : [PT12] Pulina & Tacchella (2012), Challenging SMT Solvers to
% : [GPP23] Guidotti et al. (2023), Leveraging Satisfiability Modu
% : [Pul25] Pulina (2025), Email to Geoff Sutcliffe
% Source : [Pul25]
% Names : B_015_cvc.smt2 [Pul25]
% Status : Unsatisfiable
% Rating : 0.80 v9.3.0
% Syntax : Number of formulae : 36 ( 21 unt; 13 typ; 1 def)
% Number of atoms : 31 ( 5 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 9 ( 1 ~; 5 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 40 ( 4 avg)
% Number arithmetic : 14592 ( 26 atm;9833 fun;4731 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 0 prp; 2-2 aty)
% Number of functors : 363 ( 13 usr; 359 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% SPC : TF0_THM_EQU_ARI
% Comments :
%------------------------------------------------------------------------------
%---Declarations:
tff('X_7',type,
'X_7': $real ).
tff('X_8',type,
'X_8': $real ).
tff('X_3',type,
'X_3': $real ).
tff('Y_0',type,
'Y_0': $real ).
tff('Y_2',type,
'Y_2': $real ).
tff('X_0',type,
'X_0': $real ).
tff('X_4',type,
'X_4': $real ).
tff(max,type,
max: ( $real * $real ) > $real ).
tff('X_1',type,
'X_1': $real ).
tff('Y_1',type,
'Y_1': $real ).
tff('X_2',type,
'X_2': $real ).
tff('X_6',type,
'X_6': $real ).
tff('X_5',type,
'X_5': $real ).
%---Assertions:
%---((-1.0 * X_0) ≤ -0.146896813422542)
tff(formula_1,axiom,
$lesseq($product($uminus(1.0),'X_0'),$uminus(0.146896813422542)) ).
%---((1.0 * X_0) ≤ 0.166896813422542)
tff(formula_2,axiom,
$lesseq($product(1.0,'X_0'),0.166896813422542) ).
%---((-1.0 * X_1) ≤ -0.047416492942258)
tff(formula_3,axiom,
$lesseq($product($uminus(1.0),'X_1'),$uminus(0.047416492942258)) ).
%---((1.0 * X_1) ≤ 0.067416492942258)
tff(formula_4,axiom,
$lesseq($product(1.0,'X_1'),0.067416492942258) ).
%---((-1.0 * X_2) ≤ -0.0)
tff(formula_5,axiom,
$lesseq($product($uminus(1.0),'X_2'),$uminus(0.0)) ).
%---((1.0 * X_2) ≤ 0.014079381401531001)
tff(formula_6,axiom,
$lesseq($product(1.0,'X_2'),0.014079381401531001) ).
%---((-1.0 * X_3) ≤ -0.488784248037036)
tff(formula_7,axiom,
$lesseq($product($uminus(1.0),'X_3'),$uminus(0.488784248037036)) ).
%---((1.0 * X_3) ≤ 0.508784248037036)
tff(formula_8,axiom,
$lesseq($product(1.0,'X_3'),0.508784248037036) ).
%---((-1.0 * X_4) ≤ -0.336103843238191)
tff(formula_9,axiom,
$lesseq($product($uminus(1.0),'X_4'),$uminus(0.336103843238191)) ).
%---((1.0 * X_4) ≤ 0.356103843238191)
tff(formula_10,axiom,
$lesseq($product(1.0,'X_4'),0.356103843238191) ).
%---((-1.0 * X_5) ≤ -0.033908722363159)
tff(formula_11,axiom,
$lesseq($product($uminus(1.0),'X_5'),$uminus(0.033908722363159)) ).
%---((1.0 * X_5) ≤ 0.053908722363159)
tff(formula_12,axiom,
$lesseq($product(1.0,'X_5'),0.053908722363159) ).
%---((-1.0 * X_6) ≤ -0.989829251495207)
tff(formula_13,axiom,
$lesseq($product($uminus(1.0),'X_6'),$uminus(0.989829251495207)) ).
%---((1.0 * X_6) ≤ 1.0)
tff(formula_14,axiom,
$lesseq($product(1.0,'X_6'),1.0) ).
%---((-1.0 * X_7) ≤ -0.48304324987277797)
tff(formula_15,axiom,
$lesseq($product($uminus(1.0),'X_7'),$uminus(0.48304324987277797)) ).
%---((1.0 * X_7) ≤ 0.5030432498727779)
tff(formula_16,axiom,
$lesseq($product(1.0,'X_7'),0.5030432498727779) ).
%---((-1.0 * X_8) ≤ -0.029862760896398)
tff(formula_17,axiom,
$lesseq($product($uminus(1.0),'X_8'),$uminus(0.029862760896398)) ).
%---((1.0 * X_8) ≤ 0.049862760896398)
tff(formula_18,axiom,
$lesseq($product(1.0,'X_8'),0.049862760896398) ).
%---(((1.0 * Y_0) ≤ -0.9893688118292917) ∨ ((-1.0 * Y_0) ≤ -1.0106311881707084) ∨ ((1.0 * Y_1) ≤ -1.0054578049308742) ∨ ((-1.0 * Y_1) ≤ -0.9945421950691258) ∨ ((1.0 * Y_2) ≤ -0.5165542868323242) ∨ ((-1.0 * Y_2) ≤ -1.4834457131676757))
tff(formula_19,axiom,
( $lesseq($product(1.0,'Y_0'),$uminus(0.9893688118292917))
| $lesseq($product($uminus(1.0),'Y_0'),$uminus(1.0106311881707084))
| $lesseq($product(1.0,'Y_1'),$uminus(1.0054578049308742))
| $lesseq($product($uminus(1.0),'Y_1'),$uminus(0.9945421950691258))
| $lesseq($product(1.0,'Y_2'),$uminus(0.5165542868323242))
| $lesseq($product($uminus(1.0),'Y_2'),$uminus(1.4834457131676757)) ) ).
%---(Y_0 = ((max(((max(((X_0 * 0.272470091453776264) + (X_1 * 0.218599817633468307) + (X_2 * 0.206018680904314355) + (X_3 * 0.321631567628887283) + (X_4 * 0.272768138213501599) + (X_5 * 0.167067196523386807) + (X_6 * -0.261345582447738256) + (X_7 * 0.073234470643220584) + (X_8 * -0.130726986188292399) + 0.135840963438227547), 0.0) * -0.211450387839053067) + (max(((X_0 * 0.193657133183079033) + (X_1 * -0.08812937342137217) + (X_2 * 0.229195826261365532) + (X_3 * -0.205886656316080746) + (X_4 * -0.091919128344626566) + (X_5 * 0.15346967079066548) + (X_6 * -0.091043385484760903) + (X_7 * -0.241770977027042561) + (X_8 * -0.001884926429967626) + -0.031590081607572318), 0.0) * 0.157695767561601141) + (max(((X_0 * 0.193406974982250623) + (X_1 * -0.040459727287487812) + (X_2 * 0.244824317386683921) + (X_3 * -0.151344806178452723) + (X_4 * -0.047837414586590743) + (X_5 * -0.013535492192505882) + (X_6 * -0.118413557626225435) + (X_7 * 0.06843827767628613) + (X_8 * 0.025480935389643855) + -0.196943828016627132), 0.0) * -0.245370249032631993) + (max(((X_0 * -0.051070038867700562) + (X_1 * -0.065109808516324419) + (X_2 * 0.268521954367224758) + (X_3 * 0.331842184778777638) + (X_4 * 0.293270067814469682) + (X_5 * -0.26043272138202056) + (X_6 * 0.213946504821849792) + (X_7 * 0.199784084318756328) + (X_8 * 0.183186431345434608) + 0.201269909055458329), 0.0) * -0.027903901901983441) + (max(((X_0 * -0.277014852339858897) + (X_1 * -0.226277675397899058) + (X_2 * 0.20355743346329086) + (X_3 * -0.007510186758207416) + (X_4 * 0.23349014555161024) + (X_5 * 0.247107454234049284) + (X_6 * -0.017728654364959129) + (X_7 * -0.118141042276558528) + (X_8 * -0.302489240430238226) + 0.143291470301494972), 0.0) * -0.236712502603134145) + (max(((X_0 * -0.251169352951510216) + (X_1 * 0.059676410921127188) + (X_2 * -0.227424076533955077) + (X_3 * -0.306103503113304198) + (X_4 * -0.069941733025279451) + (X_5 * -0.13997230190285409) + (X_6 * 0.065230324130471862) + (X_7 * 0.17676842505917939) + (X_8 * 0.126845271859015563) + 0.143130987369433749), 0.0) * 0.120720021720894355) + (max(((X_0 * -0.255487219691035383) + (X_1 * -0.275909902619065561) + (X_2 * -0.26035664811769843) + (X_3 * -0.140824020621979074) + (X_4 * 0.221641009128907884) + (X_5 * 0.248312488705397738) + (X_6 * 0.168671227158888659) + (X_7 * -0.212064158504158412) + (X_8 * -0.192054130338004392) + 0.228755247525009142), 0.0) * -0.18010695768742685) + (max(((X_0 * 0.120213952957311354) + (X_1 * 0.26370369283371059) + (X_2 * 0.226908926939576927) + (X_3 * -0.003507735959721758) + (X_4 * -0.149999890269309211) + (X_5 * -0.199573443881554013) + (X_6 * 0.276213887814030501) + (X_7 * 0.041053550430701025) + (X_8 * 0.079489647822720111) + 0.169201964643877767), 0.0) * 0.090834898335019176) + (max(((X_0 * 0.043522234812964466) + (X_1 * -0.214098935239207533) + (X_2 * -0.305503692536988058) + (X_3 * -0.046575208558029046) + (X_4 * -0.069326989608427259) + (X_5 * -0.032227309291343653) + (X_6 * -0.015085436336555291) + (X_7 * 0.176089688307688064) + (X_8 * -0.067963648308743851) + -0.302304179130213513), 0.0) * 0.183700455546845998) + (max(((X_0 * -0.261682913804154316) + (X_1 * -0.045224084685676236) + (X_2 * 0.274534360518592979) + (X_3 * 0.29818950269060468) + (X_4 * 0.146679066020958315) + (X_5 * 0.124673137603619255) + (X_6 * -0.192186960352884573) + (X_7 * 0.25497870031719766) + (X_8 * -0.053234668630385562) + 0.063789759239963717), 0.0) * 0.221355983347325591) + (max(((X_0 * -0.053332213701636544) + (X_1 * -0.277807826476395237) + (X_2 * 0.263589559025566744) + (X_3 * 0.22646891197264768) + (X_4 * 0.236678992729255799) + (X_5 * -0.133424695772312696) + (X_6 * 0.291872737102710722) + (X_7 * 0.291804758404660969) + (X_8 * 0.111460135558911821) + -0.202009587493285014), 0.0) * 0.171211076987571098) + (max(((X_0 * 0.20042392246604307) + (X_1 * 0.088738619586455458) + (X_2 * -0.260889785563956145) + (X_3 * 0.048263970106804999) + (X_4 * 0.19962441398632963) + (X_5 * 0.300948324153225977) + (X_6 * 0.127550487338275509) + (X_7 * 0.014116065053504878) + (X_8 * 0.235181273382076339) + 0.046810300539553873), 0.0) * 0.184921513044449426) + (max(((X_0 * 0.310501837406051806) + (X_1 * 0.202109142840931011) + (X_2 * -0.2639616714301527) + (X_3 * -0.301221260225670195) + (X_4 * -0.281396651255553742) + (X_5 * 0.103928190459223246) + (X_6 * -0.116242996939496079) + (X_7 * 0.053347511696167249) + (X_8 * 0.283338233671768414) + -0.3216734366209269), 0.0) * 0.036072446660410207) + (max(((X_0 * -0.226311789795173413) + (X_1 * 0.134722396540270628) + (X_2 * -0.219565440943444434) + (X_3 * -0.036822189933698846) + (X_4 * -0.129611038164205411) + (X_5 * -0.210793192049022693) + (X_6 * 0.324206086980607655) + (X_7 * -0.164134038353859646) + (X_8 * 0.035202414827180395) + -0.243640539686386243), 0.0) * 0.031365879587828271) + (max(((X_0 * -0.310933617383941874) + (X_1 * 0.18654188918091924) + (X_2 * -0.094550782969961888) + (X_3 * -0.282349637083445293) + (X_4 * -0.267644009023767337) + (X_5 * 0.237663658198548011) + (X_6 * -0.07650859925066994) + (X_7 * 0.192713818043843299) + (X_8 * 0.13088003428910594) + -0.254388648972486253), 0.0) * 0.029277760976568312) + (max(((X_0 * -0.142640800856743299) + (X_1 * 0.307274275164373945) + (X_2 * 0.056217934002948777) + (X_3 * 0.241990695830683722) + (X_4 * 0.272992133954121308) + (X_5 * -0.035888002359798221) + (X_6 * 0.331823789782706158) + (X_7 * 0.012524391282214997) + (X_8 * -0.082868881686402218) + -0.16961955613332505), 0.0) * 0.014927697496630588) + -0.238946967823924383), 0.0) * 0.171779355419512114) + (max(((max(((X_0 * 0.272470091453776264) + (X_1 * 0.218599817633468307) + (X_2 * 0.206018680904314355) + (X_3 * 0.321631567628887283) + (X_4 * 0.272768138213501599) + (X_5 * 0.167067196523386807) + (X_6 * -0.261345582447738256) + (X_7 * 0.073234470643220584) + (X_8 * -0.130726986188292399) + 0.135840963438227547), 0.0) * 0.069113302708829594) + (max(((X_0 * 0.193657133183079033) + (X_1 * -0.08812937342137217) + (X_2 * 0.229195826261365532) + (X_3 * -0.205886656316080746) + (X_4 * -0.091919128344626566) + (X_5 * 0.15346967079066548) + (X_6 * -0.091043385484760903) + (X_7 * -0.241770977027042561) + (X_8 * -0.001884926429967626) + -0.031590081607572318), 0.0) * -0.032137093616890045) + (max(((X_0 * 0.193406974982250623) + (X_1 * -0.040459727287487812) + (X_2 * 0.244824317386683921) + (X_3 * -0.151344806178452723) + (X_4 * -0.047837414586590743) + (X_5 * -0.013535492192505882) + (X_6 * -0.118413557626225435) + (X_7 * 0.06843827767628613) + (X_8 * 0.025480935389643855) + -0.196943828016627132), 0.0) * 0.193111162642388812) + (max(((X_0 * -0.051070038867700562) + (X_1 * -0.065109808516324419) + (X_2 * 0.268521954367224758) + (X_3 * 0.331842184778777638) + (X_4 * 0.293270067814469682) + (X_5 * -0.26043272138202056) + (X_6 * 0.213946504821849792) + (X_7 * 0.199784084318756328) + (X_8 * 0.183186431345434608) + 0.201269909055458329), 0.0) * -0.045390594970566966) + (max(((X_0 * -0.277014852339858897) + (X_1 * -0.226277675397899058) + (X_2 * 0.20355743346329086) + (X_3 * -0.007510186758207416) + (X_4 * 0.23349014555161024) + (X_5 * 0.247107454234049284) + (X_6 * -0.017728654364959129) + (X_7 * -0.118141042276558528) + (X_8 * -0.302489240430238226) + 0.143291470301494972), 0.0) * -0.153985100776119765) + (max(((X_0 * -0.251169352951510216) + (X_1 * 0.059676410921127188) + (X_2 * -0.227424076533955077) + (X_3 * -0.306103503113304198) + (X_4 * -0.069941733025279451) + (X_5 * -0.13997230190285409) + (X_6 * 0.065230324130471862) + (X_7 * 0.17676842505917939) + (X_8 * 0.126845271859015563) + 0.143130987369433749), 0.0) * -0.137004598406455569) + (max(((X_0 * -0.255487219691035383) + (X_1 * -0.275909902619065561) + (X_2 * -0.26035664811769843) + (X_3 * -0.140824020621979074) + (X_4 * 0.221641009128907884) + (X_5 * 0.248312488705397738) + (X_6 * 0.168671227158888659) + (X_7 * -0.212064158504158412) + (X_8 * -0.192054130338004392) + 0.228755247525009142), 0.0) * -0.040845821802293514) + (max(((X_0 * 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%---∀ x:Real y:Real (max(x, y) = (if (x < y) y else x))
tff(formula_23,definition,
! [X: $real,Y: $real] :
( ( $less(X,Y)
=> ( max(X,Y) = Y ) )
& ( ~ $less(X,Y)
=> ( max(X,Y) = X ) ) ) ).
%------------------------------------------------------------------------------