%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 01:47:14 PM UTC 2026
% Result : Unsatisfiable 5.36s 0.91s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of clauses : 45 ( 45 unt; 0 nHn; 3 RR)
% Number of literals : 45 ( 44 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 50 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
p4(X,c,Y) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
cnf(c2,axiom,
ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c3,plain,
ifeq(true,true,p4(X2,X2,X2),true) = p4(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
p4(X2,X2,X2) = ifeq(true,true,p4(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
ifeq(true,true,k3(X2,X2,X2),true) = k3(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
k3(X2,X2,X2) = ifeq(true,true,k3(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
ifeq(true,true,k2(X2,X2),true) = k2(X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
k2(X2,X2) = ifeq(true,true,k2(X2,X2),true),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
ifeq(true,true,q1(e,X2,X2),true) = q1(e,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c10,plain,
q1(e,X2,X2) = ifeq(true,true,q1(e,X2,X2),true),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
m0(X2,d,Y2) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
cnf(c12,plain,
m0(X2,d,X2) = true,
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
true = m0(X2,d,X2),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
ifeq(true,true,q1(e,X2,X2),true) = ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
ifeq(true,true,ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),true) = ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c16,plain,
ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true) = ifeq(true,true,ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),true),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
m0(e,d,X2) = true,
inference(substitution,[status(thm)],[c11]) ).
cnf(c18,plain,
true = m0(e,d,X2),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,plain,
ifeq(true,true,ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),true) = ifeq(m0(e,d,X2),true,ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),true),
inference(congruence,[status(thm)],[c18]) ).
cnf(c20,axiom,
ifeq(m0(e,d,A2),true,ifeq(m0(A2,d,A2),true,q1(e,A2,A2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_107) ).
cnf(c21,plain,
ifeq(m0(e,d,X2),true,ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),true) = true,
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
ifeq(true,true,ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true),true) = true,
inference(transitivity,[status(thm)],[c19,c21]) ).
cnf(c23,plain,
ifeq(m0(X2,d,X2),true,q1(e,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c16,c22]) ).
cnf(c24,plain,
ifeq(true,true,q1(e,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c14,c23]) ).
cnf(c25,plain,
q1(e,X2,X2) = true,
inference(transitivity,[status(thm)],[c10,c24]) ).
cnf(c26,plain,
true = q1(e,X2,X2),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
ifeq(true,true,k2(X2,X2),true) = ifeq(q1(e,X2,X2),true,k2(X2,X2),true),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,axiom,
ifeq(q1(A2,J,J),true,k2(J,J),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_129) ).
cnf(c29,plain,
ifeq(q1(e,X2,X2),true,k2(X2,X2),true) = true,
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
ifeq(true,true,k2(X2,X2),true) = true,
inference(transitivity,[status(thm)],[c27,c29]) ).
cnf(c31,plain,
k2(X2,X2) = true,
inference(transitivity,[status(thm)],[c8,c30]) ).
cnf(c32,plain,
true = k2(X2,X2),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
ifeq(true,true,k3(X2,X2,X2),true) = ifeq(k2(X2,X2),true,k3(X2,X2,X2),true),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,axiom,
ifeq(k2(G,F),true,k3(F,F,G),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_194) ).
cnf(c35,plain,
ifeq(k2(X2,X2),true,k3(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
ifeq(true,true,k3(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c33,c35]) ).
cnf(c37,plain,
k3(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c6,c36]) ).
cnf(c38,plain,
true = k3(X2,X2,X2),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
ifeq(true,true,p4(X2,X2,X2),true) = ifeq(k3(X2,X2,X2),true,p4(X2,X2,X2),true),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,axiom,
ifeq(k3(B2,B2,C2),true,p4(B2,C2,B2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).
cnf(c41,plain,
ifeq(k3(X2,X2,X2),true,p4(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
ifeq(true,true,p4(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c39,c41]) ).
cnf(c43,plain,
p4(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c4,c42]) ).
cnf(c44,plain,
p4(c,c,c) = true,
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
$false,
inference(resolution,[status(thm)],[c1,c44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.16 % Computer : n014.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 15:37:15 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/0.91 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 5.36/0.91
% 5.36/0.91 % SZS status Unsatisfiable
% 5.36/0.91
% 5.36/0.91 % SZS output start CNFRefutation
% See solution above
% 5.36/0.93
% 5.36/0.93 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------