%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 01:47:19 PM UTC 2026
% Result : Unsatisfiable 5.03s 1.00s
% Output : CNFRefutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 20
% Syntax : Number of clauses : 151 ( 151 unt; 0 nHn; 40 RR)
% Number of literals : 151 ( 150 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 : 22 ( 22 usr; 5 con; 0-4 aty)
% Number of variables : 151 ( 52 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
s5(c) != 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,s5(X2),true) = s5(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
s5(X2) = ifeq(true,true,s5(X2),true),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
ifeq(true,true,r4(X2),true) = r4(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
r4(X2) = ifeq(true,true,r4(X2),true),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,axiom,
p0(b,X2) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c8,plain,
true = p0(b,X2),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
ifeq(true,true,r4(X2),true) = ifeq(p0(b,X2),true,r4(X2),true),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
ifeq(true,true,ifeq(p0(X2,X3),true,r4(X3),true),true) = ifeq(p0(X2,X3),true,r4(X3),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c11,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)],[c10]) ).
cnf(c12,plain,
ifeq(true,true,n3(X2),true) = n3(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c13,plain,
n3(X2) = ifeq(true,true,n3(X2),true),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
ifeq(true,true,p2(X2,X2,X2),true) = p2(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c15,plain,
p2(X2,X2,X2) = ifeq(true,true,p2(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
ifeq(true,true,m1(X2,X2,X2),true) = m1(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c17,plain,
m1(X2,X2,X2) = ifeq(true,true,m1(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,axiom,
m0(X,d,Y) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
cnf(c19,plain,
m0(d,d,X2) = true,
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
true = m0(d,d,X2),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
ifeq(true,true,m1(X2,X2,X2),true) = ifeq(m0(d,d,X2),true,m1(X2,X2,X2),true),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,axiom,
ifeq(m0(A2,A2,J),true,m1(J,J,J),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).
cnf(c23,plain,
ifeq(m0(d,d,X2),true,m1(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
ifeq(true,true,m1(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c21,c23]) ).
cnf(c25,plain,
m1(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c17,c24]) ).
cnf(c26,plain,
true = m1(X2,X2,X2),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
ifeq(true,true,p2(X2,X2,X2),true) = ifeq(m1(X2,X2,X2),true,p2(X2,X2,X2),true),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,axiom,
ifeq(m1(G,G,F),true,p2(F,F,F),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).
cnf(c29,plain,
ifeq(m1(X2,X2,X2),true,p2(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
ifeq(true,true,p2(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c27,c29]) ).
cnf(c31,plain,
p2(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c15,c30]) ).
cnf(c32,plain,
true = p2(X2,X2,X2),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
ifeq(true,true,n3(X2),true) = ifeq(p2(X2,X2,X2),true,n3(X2),true),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,axiom,
ifeq(p2(E,F2,D),true,n3(D),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
cnf(c35,plain,
ifeq(p2(X2,X2,X2),true,n3(X2),true) = true,
inference(substitution,[status(thm)],[c34]) ).
cnf(c36,plain,
ifeq(true,true,n3(X2),true) = true,
inference(transitivity,[status(thm)],[c33,c35]) ).
cnf(c37,plain,
n3(X2) = true,
inference(transitivity,[status(thm)],[c13,c36]) ).
cnf(c38,plain,
true = n3(X2),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,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)],[c38]) ).
cnf(c40,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(c41,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)],[c40]) ).
cnf(c42,plain,
ifeq(true,true,q3(e,b),true) = q3(e,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c43,plain,
q3(e,b) = ifeq(true,true,q3(e,b),true),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,axiom,
n0(e,e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c45,plain,
true = n0(e,e),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
ifeq(true,true,q3(e,b),true) = ifeq(n0(e,e),true,q3(e,b),true),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
ifeq(true,true,ifeq(n0(e,e),true,q3(e,b),true),true) = ifeq(n0(e,e),true,q3(e,b),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c48,plain,
ifeq(n0(e,e),true,q3(e,b),true) = ifeq(true,true,ifeq(n0(e,e),true,q3(e,b),true),true),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
ifeq(true,true,q2(e,e,b),true) = q2(e,e,b),
inference(substitution,[status(thm)],[c2]) ).
cnf(c50,plain,
q2(e,e,b) = ifeq(true,true,q2(e,e,b),true),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
ifeq(true,true,l1(b,e),true) = l1(b,e),
inference(substitution,[status(thm)],[c2]) ).
cnf(c52,plain,
l1(b,e) = ifeq(true,true,l1(b,e),true),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,axiom,
r0(b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c54,plain,
true = r0(b),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,plain,
ifeq(true,true,l1(b,e),true) = ifeq(r0(b),true,l1(b,e),true),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
ifeq(true,true,l1(b,e),true) = l1(b,e),
inference(substitution,[status(thm)],[c2]) ).
cnf(c57,plain,
l1(b,e) = ifeq(true,true,l1(b,e),true),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
ifeq(r0(X2),true,l1(b,e),true) = ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
ifeq(true,true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true) = ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c60,plain,
ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true) = ifeq(true,true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,axiom,
p0(c,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c62,plain,
true = p0(c,b),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
ifeq(true,true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true) = ifeq(p0(c,b),true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,axiom,
m0(e,b,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c65,plain,
true = m0(e,b,c),
inference(symmetry,[status(thm)],[c64]) ).
cnf(c66,plain,
ifeq(true,true,l1(b,e),true) = ifeq(m0(e,b,c),true,l1(b,e),true),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true) = ifeq(r0(X2),true,ifeq(m0(e,b,c),true,l1(b,e),true),true),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
ifeq(p0(c,b),true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true) = ifeq(p0(c,b),true,ifeq(r0(X2),true,ifeq(m0(e,b,c),true,l1(b,e),true),true),true),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,axiom,
ifeq(p0(E2,C2),true,ifeq(r0(F2),true,ifeq(m0(D2,C2,E2),true,l1(C2,D2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_003) ).
cnf(c70,plain,
ifeq(p0(c,b),true,ifeq(r0(X2),true,ifeq(m0(e,b,c),true,l1(b,e),true),true),true) = true,
inference(substitution,[status(thm)],[c69]) ).
cnf(c71,plain,
ifeq(p0(c,b),true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true) = true,
inference(transitivity,[status(thm)],[c68,c70]) ).
cnf(c72,plain,
ifeq(true,true,ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true),true) = true,
inference(transitivity,[status(thm)],[c63,c71]) ).
cnf(c73,plain,
ifeq(r0(X2),true,ifeq(true,true,l1(b,e),true),true) = true,
inference(transitivity,[status(thm)],[c60,c72]) ).
cnf(c74,plain,
ifeq(r0(X2),true,l1(b,e),true) = true,
inference(transitivity,[status(thm)],[c58,c73]) ).
cnf(c75,plain,
ifeq(r0(b),true,l1(b,e),true) = true,
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
ifeq(true,true,l1(b,e),true) = true,
inference(transitivity,[status(thm)],[c55,c75]) ).
cnf(c77,plain,
l1(b,e) = true,
inference(transitivity,[status(thm)],[c52,c76]) ).
cnf(c78,plain,
true = l1(b,e),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
ifeq(true,true,q2(e,e,b),true) = ifeq(l1(b,e),true,q2(e,e,b),true),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,axiom,
ifeq(l1(H,G2),true,q2(G2,G2,H),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_186) ).
cnf(c81,plain,
ifeq(l1(b,e),true,q2(e,e,b),true) = true,
inference(substitution,[status(thm)],[c80]) ).
cnf(c82,plain,
ifeq(true,true,q2(e,e,b),true) = true,
inference(transitivity,[status(thm)],[c79,c81]) ).
cnf(c83,plain,
q2(e,e,b) = true,
inference(transitivity,[status(thm)],[c50,c82]) ).
cnf(c84,plain,
true = q2(e,e,b),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
ifeq(true,true,ifeq(n0(e,e),true,q3(e,b),true),true) = ifeq(q2(e,e,b),true,ifeq(n0(e,e),true,q3(e,b),true),true),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,axiom,
ifeq(q2(I,G2,H2),true,ifeq(n0(I,G2),true,q3(G2,H2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
cnf(c87,plain,
ifeq(q2(e,e,b),true,ifeq(n0(e,e),true,q3(e,b),true),true) = true,
inference(substitution,[status(thm)],[c86]) ).
cnf(c88,plain,
ifeq(true,true,ifeq(n0(e,e),true,q3(e,b),true),true) = true,
inference(transitivity,[status(thm)],[c85,c87]) ).
cnf(c89,plain,
ifeq(n0(e,e),true,q3(e,b),true) = true,
inference(transitivity,[status(thm)],[c48,c88]) ).
cnf(c90,plain,
ifeq(true,true,q3(e,b),true) = true,
inference(transitivity,[status(thm)],[c46,c89]) ).
cnf(c91,plain,
q3(e,b) = true,
inference(transitivity,[status(thm)],[c43,c90]) ).
cnf(c92,plain,
true = q3(e,b),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,plain,
ifeq(true,true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = ifeq(q3(e,b),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,axiom,
ifeq(q3(H2,I2),true,ifeq(n3(G2),true,ifeq(p0(J2,G2),true,r4(G2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
cnf(c95,plain,
ifeq(q3(e,b),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(substitution,[status(thm)],[c94]) ).
cnf(c96,plain,
ifeq(true,true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(transitivity,[status(thm)],[c93,c95]) ).
cnf(c97,plain,
ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true) = true,
inference(transitivity,[status(thm)],[c41,c96]) ).
cnf(c98,plain,
ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true) = true,
inference(transitivity,[status(thm)],[c39,c97]) ).
cnf(c99,plain,
ifeq(p0(X3,X2),true,r4(X2),true) = true,
inference(transitivity,[status(thm)],[c11,c98]) ).
cnf(c100,plain,
ifeq(p0(b,X2),true,r4(X2),true) = true,
inference(substitution,[status(thm)],[c99]) ).
cnf(c101,plain,
ifeq(true,true,r4(X2),true) = true,
inference(transitivity,[status(thm)],[c9,c100]) ).
cnf(c102,plain,
r4(X2) = true,
inference(transitivity,[status(thm)],[c6,c101]) ).
cnf(c103,plain,
true = r4(X2),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,plain,
ifeq(true,true,s5(X3),true) = ifeq(r4(X2),true,s5(X3),true),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
ifeq(true,true,s5(X2),true) = s5(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c106,plain,
s5(X2) = ifeq(true,true,s5(X2),true),
inference(symmetry,[status(thm)],[c105]) ).
cnf(c107,plain,
ifeq(r4(X3),true,s5(X2),true) = ifeq(r4(X3),true,ifeq(true,true,s5(X2),true),true),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
ifeq(true,true,l4(X2),true) = l4(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c109,plain,
l4(X2) = ifeq(true,true,l4(X2),true),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c110,plain,
ifeq(true,true,p3(X2,X2,X2),true) = p3(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c111,plain,
p3(X2,X2,X2) = ifeq(true,true,p3(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c110]) ).
cnf(c112,plain,
ifeq(true,true,n2(X2),true) = n2(X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c113,plain,
n2(X2) = ifeq(true,true,n2(X2),true),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
ifeq(true,true,p1(X2,X2,X2),true) = p1(X2,X2,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c115,plain,
p1(X2,X2,X2) = ifeq(true,true,p1(X2,X2,X2),true),
inference(symmetry,[status(thm)],[c114]) ).
cnf(c116,plain,
true = p0(b,X2),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c117,plain,
ifeq(true,true,p1(X2,X2,X2),true) = ifeq(p0(b,X2),true,p1(X2,X2,X2),true),
inference(congruence,[status(thm)],[c116]) ).
cnf(c118,axiom,
ifeq(p0(C2,B2),true,p1(B2,B2,B2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_085) ).
cnf(c119,plain,
ifeq(p0(b,X2),true,p1(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c118]) ).
cnf(c120,plain,
ifeq(true,true,p1(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c117,c119]) ).
cnf(c121,plain,
p1(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c115,c120]) ).
cnf(c122,plain,
true = p1(X2,X2,X2),
inference(symmetry,[status(thm)],[c121]) ).
cnf(c123,plain,
ifeq(true,true,n2(X2),true) = ifeq(p1(X2,X2,X2),true,n2(X2),true),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,axiom,
ifeq(p1(B2,C2,A2),true,n2(A2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_137) ).
cnf(c125,plain,
ifeq(p1(X2,X2,X2),true,n2(X2),true) = true,
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
ifeq(true,true,n2(X2),true) = true,
inference(transitivity,[status(thm)],[c123,c125]) ).
cnf(c127,plain,
n2(X2) = true,
inference(transitivity,[status(thm)],[c113,c126]) ).
cnf(c128,plain,
true = n2(X2),
inference(symmetry,[status(thm)],[c127]) ).
cnf(c129,plain,
ifeq(true,true,p3(X2,X2,X2),true) = ifeq(n2(X2),true,p3(X2,X2,X2),true),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,axiom,
ifeq(n2(H2),true,p3(H2,H2,H2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_244) ).
cnf(c131,plain,
ifeq(n2(X2),true,p3(X2,X2,X2),true) = true,
inference(substitution,[status(thm)],[c130]) ).
cnf(c132,plain,
ifeq(true,true,p3(X2,X2,X2),true) = true,
inference(transitivity,[status(thm)],[c129,c131]) ).
cnf(c133,plain,
p3(X2,X2,X2) = true,
inference(transitivity,[status(thm)],[c111,c132]) ).
cnf(c134,plain,
true = p3(X2,X2,X2),
inference(symmetry,[status(thm)],[c133]) ).
cnf(c135,plain,
ifeq(true,true,l4(X2),true) = ifeq(p3(X2,X2,X2),true,l4(X2),true),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,axiom,
ifeq(p3(A2,B2,J2),true,l4(J2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_277) ).
cnf(c137,plain,
ifeq(p3(X2,X2,X2),true,l4(X2),true) = true,
inference(substitution,[status(thm)],[c136]) ).
cnf(c138,plain,
ifeq(true,true,l4(X2),true) = true,
inference(transitivity,[status(thm)],[c135,c137]) ).
cnf(c139,plain,
l4(X2) = true,
inference(transitivity,[status(thm)],[c109,c138]) ).
cnf(c140,plain,
true = l4(X2),
inference(symmetry,[status(thm)],[c139]) ).
cnf(c141,plain,
ifeq(true,true,s5(X2),true) = ifeq(l4(X2),true,s5(X2),true),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
ifeq(r4(X3),true,ifeq(true,true,s5(X2),true),true) = ifeq(r4(X3),true,ifeq(l4(X2),true,s5(X2),true),true),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,axiom,
ifeq(r4(I2),true,ifeq(l4(H2),true,s5(H2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_329) ).
cnf(c144,plain,
ifeq(r4(X3),true,ifeq(l4(X2),true,s5(X2),true),true) = true,
inference(substitution,[status(thm)],[c143]) ).
cnf(c145,plain,
ifeq(r4(X3),true,ifeq(true,true,s5(X2),true),true) = true,
inference(transitivity,[status(thm)],[c142,c144]) ).
cnf(c146,plain,
ifeq(r4(X3),true,s5(X2),true) = true,
inference(transitivity,[status(thm)],[c107,c145]) ).
cnf(c147,plain,
ifeq(r4(X2),true,s5(X3),true) = true,
inference(substitution,[status(thm)],[c146]) ).
cnf(c148,plain,
ifeq(true,true,s5(X2),true) = true,
inference(transitivity,[status(thm)],[c104,c147]) ).
cnf(c149,plain,
s5(X2) = true,
inference(transitivity,[status(thm)],[c4,c148]) ).
cnf(c150,plain,
s5(c) = true,
inference(substitution,[status(thm)],[c149]) ).
cnf(c151,plain,
$false,
inference(resolution,[status(thm)],[c1,c150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n009.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:38:15 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.03/1.00 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 5.03/1.00
% 5.03/1.00 % SZS status Unsatisfiable
% 5.03/1.00
% 5.03/1.00 % SZS output start CNFRefutation
% See solution above
% 6.26/1.08
% 6.26/1.08 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------