%------------------------------------------------------------------------------
% File     : SWX217-1 : TPTP v9.3.0. Released v9.3.0.
% Domain   : Software Verification
% Problem  : Faulty property of binary numbers
% Version  : Especial.
% English  :

% Refs     : [CST26] Claessen et al. (2026), Email to Geoff Sutcliffe
% Source   : [CST26]
% Names    : ShowBinLists_sat_comm.p [CST26]

% Status   : Unsatisfiable
% Rating   : 0.17 v9.3.0
% Syntax   : Number of clauses     :   32 (  32 unt;   0 nHn;  12 RR)
%            Number of literals    :   32 (  32 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :   22 (  22 usr;   6 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn)
% SPC      : CNF_UNS_RFO_PEQ_UEQ

% Comments :
%------------------------------------------------------------------------------
cnf(axiom,axiom,
    aux(Y,btrue) = cons(o,shw(half(suc(Y)))) ).

cnf(axiom_001,axiom,
    aux(Y,bfalse) = cons(i,shw(half(suc(Y)))) ).

cnf(axiom_002,axiom,
    notb(btrue) = bfalse ).

cnf(axiom_003,axiom,
    notb(bfalse) = btrue ).

cnf(axiom_004,axiom,
    half(zero) = zero ).

cnf(axiom_005,axiom,
    half(suc(zero)) = zero ).

cnf(axiom_006,axiom,
    half(suc(suc(N))) = suc(half(N)) ).

cnf(axiom_007,axiom,
    evenNat(zero) = btrue ).

cnf(axiom_008,axiom,
    evenNat(suc(N)) = notb(evenNat(N)) ).

cnf(axiom_009,axiom,
    shw(zero) = nil ).

cnf(axiom_010,axiom,
    shw(suc(Y)) = aux(Y,evenNat(suc(Y))) ).

cnf(axiom_011,axiom,
    append(nil,Y) = Y ).

cnf(axiom_012,axiom,
    append(cons(Z,Xs),Y) = cons(Z,append(Xs,Y)) ).

cnf(axiom_013,axiom,
    addNat(zero,Y) = Y ).

cnf(axiom_014,axiom,
    addNat(suc(Z),Y) = suc(addNat(Z,Y)) ).

cnf(axiom_015,axiom,
    double(X) = addNat(X,X) ).

cnf(axiom_016,axiom,
    rd(nil) = zero ).

cnf(axiom_017,axiom,
    rd(cons(i,Xs)) = suc(double(rd(Xs))) ).

cnf(axiom_018,axiom,
    rd(cons(o,Xs)) = double(rd(Xs)) ).

cnf(axiom_019,axiom,
    x(X,Y) = rd(append(shw(X),shw(Y))) ).

cnf(axiom_020,axiom,
    sat_comm(X,Y) = eq(x(X,Y),x(Y,X)) ).

cnf(axiom_021,axiom,
    eq2(bfalse,btrue) = bfalse ).

cnf(axiom_022,axiom,
    eq2(btrue,bfalse) = bfalse ).

cnf(axiom_023,axiom,
    eq3(i,o) = bfalse ).

cnf(axiom_024,axiom,
    eq3(o,i) = bfalse ).

cnf(axiom_025,axiom,
    eq(suc(X),suc(Y)) = eq(X,Y) ).

cnf(axiom_026,axiom,
    eq(zero,suc(X)) = bfalse ).

cnf(axiom_027,axiom,
    eq(suc(X),zero) = bfalse ).

cnf(axiom_028,axiom,
    eq(X,X) = btrue ).

cnf(axiom_029,axiom,
    eq2(X,X) = btrue ).

cnf(axiom_030,axiom,
    eq3(X,X) = btrue ).

cnf(goal,negated_conjecture,
    eq2(sat_comm(X,Y),bfalse) != btrue ).

%------------------------------------------------------------------------------