%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 01:48:09 PM UTC 2026
% Result : Unsatisfiable 1.29s 0.51s
% Output : CNFRefutation 2.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of clauses : 74 ( 74 unt; 0 nHn; 27 RR)
% Number of literals : 74 ( 73 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 108 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_27) ).
cnf(c2,axiom,
ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c3,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
ifeq(true,true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = ifeq(true,true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,axiom,
p18(c21) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c10,plain,
true = p18(c21),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = ifeq(p18(c21),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,negated_conjecture,
ifeq(p18(X8),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X8))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X8))),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
cnf(c13,plain,
ifeq(p18(c21),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = true,
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = true,
inference(transitivity,[status(thm)],[c11,c13]) ).
cnf(c15,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(transitivity,[status(thm)],[c8,c14]) ).
cnf(c16,plain,
true = p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
ifeq(true,true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
ifeq(true,true,p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),true) = p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c19,plain,
p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)) = ifeq(true,true,p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),true),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
ifeq(true,true,p7(f11(X,f4(f6(c21))),f11(X,c22)),true) = p7(f11(X,f4(f6(c21))),f11(X,c22)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c21,plain,
p7(f11(X,f4(f6(c21))),f11(X,c22)) = ifeq(true,true,p7(f11(X,f4(f6(c21))),f11(X,c22)),true),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,axiom,
p3(f4(f6(c21)),c22) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c23,plain,
true = p3(f4(f6(c21)),c22),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,plain,
ifeq(true,true,p7(f11(X,f4(f6(c21))),f11(X,c22)),true) = ifeq(p3(f4(f6(c21)),c22),true,p7(f11(X,f4(f6(c21))),f11(X,c22)),true),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
ifeq(true,true,p7(f11(X3,X2),f11(X3,X)),true) = p7(f11(X3,X2),f11(X3,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c26,plain,
p7(f11(X,X3),f11(X,X2)) = ifeq(true,true,p7(f11(X,X3),f11(X,X2)),true),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
ifeq(p3(X3,X2),true,p7(f11(X,X3),f11(X,X2)),true) = ifeq(p3(X3,X2),true,ifeq(true,true,p7(f11(X,X3),f11(X,X2)),true),true),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,negated_conjecture,
p7(X34,X34) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(c29,plain,
p7(X,X) = true,
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
true = p7(X,X),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
ifeq(true,true,p7(f11(X,X3),f11(X,X2)),true) = ifeq(p7(X,X),true,p7(f11(X,X3),f11(X,X2)),true),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
ifeq(p3(X3,X2),true,ifeq(true,true,p7(f11(X,X3),f11(X,X2)),true),true) = ifeq(p3(X3,X2),true,ifeq(p7(X,X),true,p7(f11(X,X3),f11(X,X2)),true),true),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,negated_conjecture,
ifeq(p3(X42,X44),true,ifeq(p7(X41,X43),true,p7(f11(X41,X42),f11(X43,X44)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
cnf(c34,plain,
ifeq(p3(X3,X2),true,ifeq(p7(X,X),true,p7(f11(X,X3),f11(X,X2)),true),true) = true,
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
ifeq(p3(X3,X2),true,ifeq(true,true,p7(f11(X,X3),f11(X,X2)),true),true) = true,
inference(transitivity,[status(thm)],[c32,c34]) ).
cnf(c36,plain,
ifeq(p3(X3,X2),true,p7(f11(X,X3),f11(X,X2)),true) = true,
inference(transitivity,[status(thm)],[c27,c35]) ).
cnf(c37,plain,
ifeq(p3(f4(f6(c21)),c22),true,p7(f11(X,f4(f6(c21))),f11(X,c22)),true) = true,
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
ifeq(true,true,p7(f11(X,f4(f6(c21))),f11(X,c22)),true) = true,
inference(transitivity,[status(thm)],[c24,c37]) ).
cnf(c39,plain,
p7(f11(X,f4(f6(c21))),f11(X,c22)) = true,
inference(transitivity,[status(thm)],[c21,c38]) ).
cnf(c40,plain,
true = p7(f11(X,f4(f6(c21))),f11(X,c22)),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,plain,
ifeq(true,true,p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),true) = ifeq(p7(f11(X2,f4(f6(c21))),f11(X2,c22)),true,p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),true),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
ifeq(true,true,ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),true) = ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c43,plain,
ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true) = ifeq(true,true,ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),true),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
p7(X,X) = true,
inference(substitution,[status(thm)],[c28]) ).
cnf(c45,plain,
true = p7(X,X),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
ifeq(true,true,ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),true) = ifeq(p7(X,X),true,ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),true),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,negated_conjecture,
ifeq(p7(X38,X40),true,ifeq(p7(X37,X39),true,p7(f10(X37,X38),f10(X39,X40)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
cnf(c48,plain,
ifeq(p7(X,X),true,ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),true) = true,
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
ifeq(true,true,ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true),true) = true,
inference(transitivity,[status(thm)],[c46,c48]) ).
cnf(c50,plain,
ifeq(p7(X3,X2),true,p7(f10(X3,X),f10(X2,X)),true) = true,
inference(transitivity,[status(thm)],[c43,c49]) ).
cnf(c51,plain,
ifeq(p7(f11(X2,f4(f6(c21))),f11(X2,c22)),true,p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),true) = true,
inference(substitution,[status(thm)],[c50]) ).
cnf(c52,plain,
ifeq(true,true,p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)),true) = true,
inference(transitivity,[status(thm)],[c41,c51]) ).
cnf(c53,plain,
p7(f10(f11(X2,f4(f6(c21))),X),f10(f11(X2,c22),X)) = true,
inference(transitivity,[status(thm)],[c19,c52]) ).
cnf(c54,plain,
p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) = true,
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
true = p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))),true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true,ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))),true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
ifeq(true,true,ifeq(p7(X3,X),true,p19(X,X2),true),true) = ifeq(p7(X3,X),true,p19(X,X2),true),
inference(substitution,[status(thm)],[c2]) ).
cnf(c59,plain,
ifeq(p7(X3,X),true,p19(X,X2),true) = ifeq(true,true,ifeq(p7(X3,X),true,p19(X,X2),true),true),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
ifeq(p19(X3,X2),true,ifeq(p7(X3,X),true,p19(X,X2),true),true) = ifeq(p19(X3,X2),true,ifeq(true,true,ifeq(p7(X3,X),true,p19(X,X2),true),true),true),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
p7(X,X) = true,
inference(substitution,[status(thm)],[c28]) ).
cnf(c62,plain,
true = p7(X,X),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
ifeq(true,true,ifeq(p7(X3,X),true,p19(X,X2),true),true) = ifeq(p7(X2,X2),true,ifeq(p7(X3,X),true,p19(X,X2),true),true),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
ifeq(p19(X3,X2),true,ifeq(true,true,ifeq(p7(X3,X),true,p19(X,X2),true),true),true) = ifeq(p19(X3,X2),true,ifeq(p7(X2,X2),true,ifeq(p7(X3,X),true,p19(X,X2),true),true),true),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,negated_conjecture,
ifeq(p19(X6,X7),true,ifeq(p7(X7,X5),true,ifeq(p7(X6,X4),true,p19(X4,X5),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_23) ).
cnf(c66,plain,
ifeq(p19(X3,X2),true,ifeq(p7(X2,X2),true,ifeq(p7(X3,X),true,p19(X,X2),true),true),true) = true,
inference(substitution,[status(thm)],[c65]) ).
cnf(c67,plain,
ifeq(p19(X3,X2),true,ifeq(true,true,ifeq(p7(X3,X),true,p19(X,X2),true),true),true) = true,
inference(transitivity,[status(thm)],[c64,c66]) ).
cnf(c68,plain,
ifeq(p19(X3,X2),true,ifeq(p7(X3,X),true,p19(X,X2),true),true) = true,
inference(transitivity,[status(thm)],[c60,c67]) ).
cnf(c69,plain,
ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true,ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))),true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = true,
inference(substitution,[status(thm)],[c68]) ).
cnf(c70,plain,
ifeq(p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = true,
inference(transitivity,[status(thm)],[c57,c69]) ).
cnf(c71,plain,
ifeq(true,true,ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),true) = true,
inference(transitivity,[status(thm)],[c17,c70]) ).
cnf(c72,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = true,
inference(transitivity,[status(thm)],[c6,c71]) ).
cnf(c73,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(transitivity,[status(thm)],[c4,c72]) ).
cnf(c74,plain,
$false,
inference(resolution,[status(thm)],[c1,c73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.05/0.17 % Computer : n015.cluster.edu
% 0.05/0.17 % Model : x86_64 x86_64
% 0.05/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.17 % Memory : 8046.5625MB
% 0.05/0.17 % OS : Linux 6.8.0-71-generic
% 0.05/0.17 % CPULimit : 300
% 0.05/0.17 % WCLimit : 300
% 0.05/0.17 % DateTime : Mon Sep 28 16:37:27 UTC 2026
% 0.05/0.17 % CPUTime :
% 0.05/0.17 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.29/0.51 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-regeneralise
% 1.29/0.51
% 1.29/0.51 % SZS status Unsatisfiable
% 1.29/0.51
% 1.29/0.51 % SZS output start CNFRefutation
% See solution above
% 2.32/0.54
% 2.32/0.54 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------