%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN193-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:47:17 PM UTC 2026
% Result : Unsatisfiable 5.29s 0.95s
% Output : CNFRefutation 5.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of clauses : 90 ( 90 unt; 0 nHn; 42 RR)
% Number of literals : 90 ( 89 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-4 aty)
% Number of variables : 72 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
r4(b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
cnf(c2,axiom,
ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c3,plain,
ifeq(true,true,r4(b),true) = r4(b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
r4(b) = ifeq(true,true,r4(b),true),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
p0(c,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
true = p0(c,b),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
ifeq(true,true,r4(b),true) = ifeq(p0(c,b),true,r4(b),true),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true) = ifeq(p0(X3,X2),true,r4(X2),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c9,plain,
ifeq(p0(X3,X2),true,r4(X2),true) = ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c10,plain,
ifeq(true,true,n3(X2),true) = n3(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,plain,
n3(X2) = ifeq(true,true,n3(X2),true),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
ifeq(true,true,p2(X2,X2,X2),true) = p2(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c13,plain,
p2(X2,X2,X2) = ifeq(true,true,p2(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
ifeq(true,true,m1(X2,X2,X2),true) = m1(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c15,plain,
m1(X2,X2,X2) = ifeq(true,true,m1(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,axiom,
m0(X,d,Y) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
cnf(c17,plain,
m0(d,d,X2) = true,
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
true = m0(d,d,X2),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
ifeq(true,true,m1(X2,X2,X2),true) = ifeq(m0(d,d,X2),true,m1(X2,X2,X2),true),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,axiom,
ifeq(m0(A2,A2,J),true,m1(J,J,J),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_006) ).
cnf(c21,plain,
ifeq(m0(d,d,X2),true,m1(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
ifeq(true,true,m1(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c19,c21]) ).
cnf(c23,plain,
m1(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c15,c22]) ).
cnf(c24,plain,
true = m1(X2,X2,X2),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
ifeq(true,true,p2(X2,X2,X2),true) = ifeq(m1(X2,X2,X2),true,p2(X2,X2,X2),true),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,axiom,
ifeq(m1(G,G,F),true,p2(F,F,F),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_150) ).
cnf(c27,plain,
ifeq(m1(X2,X2,X2),true,p2(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
ifeq(true,true,p2(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c25,c27]) ).
cnf(c29,plain,
p2(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c13,c28]) ).
cnf(c30,plain,
true = p2(X2,X2,X2),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
ifeq(true,true,n3(X2),true) = ifeq(p2(X2,X2,X2),true,n3(X2),true),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,axiom,
ifeq(p2(E,F2,D),true,n3(D),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).
cnf(c33,plain,
ifeq(p2(X2,X2,X2),true,n3(X2),true) = true,
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
ifeq(true,true,n3(X2),true) = true,
inference(transitivity,[status(thm)],[c31,c33]) ).
cnf(c35,plain,
n3(X2) = true,
inference(transitivity,[status(thm)],[c11,c34]) ).
cnf(c36,plain,
true = n3(X2),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true) = ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
ifeq(true,true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true) = ifeq(true,true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
ifeq(true,true,q3(b,b),true) = q3(b,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
q3(b,b) = ifeq(true,true,q3(b,b),true),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,axiom,
n0(a,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c43,plain,
true = n0(a,b),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
ifeq(true,true,q3(b,b),true) = ifeq(n0(a,b),true,q3(b,b),true),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
ifeq(true,true,ifeq(n0(a,b),true,q3(b,b),true),true) = ifeq(n0(a,b),true,q3(b,b),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
ifeq(n0(a,b),true,q3(b,b),true) = ifeq(true,true,ifeq(n0(a,b),true,q3(b,b),true),true),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
ifeq(true,true,q2(a,b,b),true) = q2(a,b,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c48,plain,
q2(a,b,b) = ifeq(true,true,q2(a,b,b),true),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,axiom,
k0(b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c50,plain,
true = k0(b),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
ifeq(true,true,q2(a,b,b),true) = ifeq(k0(b),true,q2(a,b,b),true),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
ifeq(true,true,ifeq(k0(X2),true,q2(a,X2,X2),true),true) = ifeq(k0(X2),true,q2(a,X2,X2),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c53,plain,
ifeq(k0(X2),true,q2(a,X2,X2),true) = ifeq(true,true,ifeq(k0(X2),true,q2(a,X2,X2),true),true),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
ifeq(true,true,p1(a,a,a),true) = p1(a,a,a),
inference(substitution,[status(thm)],[c2]) ).
cnf(c55,plain,
p1(a,a,a) = ifeq(true,true,p1(a,a,a),true),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,axiom,
l0(a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c57,plain,
true = l0(a),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
ifeq(true,true,p1(a,a,a),true) = ifeq(l0(a),true,p1(a,a,a),true),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,axiom,
ifeq(l0(a),true,p1(a,a,a),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c60,plain,
ifeq(true,true,p1(a,a,a),true) = true,
inference(transitivity,[status(thm)],[c58,c59]) ).
cnf(c61,plain,
p1(a,a,a) = true,
inference(transitivity,[status(thm)],[c55,c60]) ).
cnf(c62,plain,
true = p1(a,a,a),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
ifeq(true,true,ifeq(k0(X2),true,q2(a,X2,X2),true),true) = ifeq(p1(a,a,a),true,ifeq(k0(X2),true,q2(a,X2,X2),true),true),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,axiom,
ifeq(p1(E2,E2,E2),true,ifeq(k0(F2),true,q2(E2,F2,F2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
cnf(c65,plain,
ifeq(p1(a,a,a),true,ifeq(k0(X2),true,q2(a,X2,X2),true),true) = true,
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
ifeq(true,true,ifeq(k0(X2),true,q2(a,X2,X2),true),true) = true,
inference(transitivity,[status(thm)],[c63,c65]) ).
cnf(c67,plain,
ifeq(k0(X2),true,q2(a,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c53,c66]) ).
cnf(c68,plain,
ifeq(k0(b),true,q2(a,b,b),true) = true,
inference(substitution,[status(thm)],[c67]) ).
cnf(c69,plain,
ifeq(true,true,q2(a,b,b),true) = true,
inference(transitivity,[status(thm)],[c51,c68]) ).
cnf(c70,plain,
q2(a,b,b) = true,
inference(transitivity,[status(thm)],[c48,c69]) ).
cnf(c71,plain,
true = q2(a,b,b),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
ifeq(true,true,ifeq(n0(a,b),true,q3(b,b),true),true) = ifeq(q2(a,b,b),true,ifeq(n0(a,b),true,q3(b,b),true),true),
inference(congruence,[status(thm)],[c71]) ).
cnf(c73,axiom,
ifeq(q2(I,G2,H),true,ifeq(n0(I,G2),true,q3(G2,H),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_255) ).
cnf(c74,plain,
ifeq(q2(a,b,b),true,ifeq(n0(a,b),true,q3(b,b),true),true) = true,
inference(substitution,[status(thm)],[c73]) ).
cnf(c75,plain,
ifeq(true,true,ifeq(n0(a,b),true,q3(b,b),true),true) = true,
inference(transitivity,[status(thm)],[c72,c74]) ).
cnf(c76,plain,
ifeq(n0(a,b),true,q3(b,b),true) = true,
inference(transitivity,[status(thm)],[c46,c75]) ).
cnf(c77,plain,
ifeq(true,true,q3(b,b),true) = true,
inference(transitivity,[status(thm)],[c44,c76]) ).
cnf(c78,plain,
q3(b,b) = true,
inference(transitivity,[status(thm)],[c41,c77]) ).
cnf(c79,plain,
true = q3(b,b),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
ifeq(true,true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = ifeq(q3(b,b),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,axiom,
ifeq(q3(H2,I2),true,ifeq(n3(G2),true,ifeq(p0(J2,G2),true,r4(G2),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).
cnf(c82,plain,
ifeq(q3(b,b),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(substitution,[status(thm)],[c81]) ).
cnf(c83,plain,
ifeq(true,true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(transitivity,[status(thm)],[c80,c82]) ).
cnf(c84,plain,
ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true) = true,
inference(transitivity,[status(thm)],[c39,c83]) ).
cnf(c85,plain,
ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true) = true,
inference(transitivity,[status(thm)],[c37,c84]) ).
cnf(c86,plain,
ifeq(p0(X3,X2),true,r4(X2),true) = true,
inference(transitivity,[status(thm)],[c9,c85]) ).
cnf(c87,plain,
ifeq(p0(c,b),true,r4(b),true) = true,
inference(substitution,[status(thm)],[c86]) ).
cnf(c88,plain,
ifeq(true,true,r4(b),true) = true,
inference(transitivity,[status(thm)],[c7,c87]) ).
cnf(c89,plain,
r4(b) = true,
inference(transitivity,[status(thm)],[c4,c88]) ).
cnf(c90,plain,
$false,
inference(resolution,[status(thm)],[c1,c89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN193-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.17 % Computer : n009.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 15:37:59 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.29/0.95 Command-line arguments: --flatten-regeneralise
% 5.29/0.95
% 5.29/0.95 % SZS status Unsatisfiable
% 5.29/0.95
% 5.29/0.95 % SZS output start CNFRefutation
% See solution above
% 5.29/0.97
% 5.29/0.97 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------