%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN594-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:39:43 PM UTC 2026
% Result : Unsatisfiable 0.53s 1.61s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 27
% Syntax : Number of clauses : 133 ( 47 unt; 9 nHn; 114 RR)
% Number of literals : 291 ( 0 equ; 178 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 223 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p14_27,negated_conjecture,
( ~ p14(X1,f3(f4(f5(c17))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X2)
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X3),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_27) ).
cnf(not_p2_26,negated_conjecture,
( ~ p2(X1,f3(c17))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_26) ).
cnf(p7_25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_25) ).
cnf(not_p2_17,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_17) ).
cnf(p15_16,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_16) ).
cnf(p7_23,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_23) ).
cnf(p7_22,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_22) ).
cnf(p7_21,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_21) ).
cnf(p2_20,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
cnf(p2_24,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
cnf(p14_7,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_7) ).
cnf(p15_19,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_19) ).
cnf(p14_18,negated_conjecture,
( p14(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p14(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_18) ).
cnf(p7_14,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_14) ).
cnf(p2_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p14_13,negated_conjecture,
( p14(X1,X2)
| p2(X1,X2)
| ~ p15(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_13) ).
cnf(p7_12,negated_conjecture,
( p7(f11(X1),f11(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_12) ).
cnf(p7_8,negated_conjecture,
( p7(f12(X1),f12(X2))
| ~ p7(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_8) ).
cnf(p2_10,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_11,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_9,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
cnf(not_p14_6,negated_conjecture,
( ~ p14(X1,X2)
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_6) ).
cnf(p14_4,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_4) ).
cnf(p15_5,negated_conjecture,
( p15(X1,X2)
| ~ p14(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_5) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c16,f3(c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(i_0_27,negated_conjecture,
( ~ p14(X1,f3(f4(f5(c17))))
| ~ p15(X2,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X2)
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X3),f9(f11(X2),f10(f11(f3(f4(f5(c17)))),c22))))) ),
not_p14_27,
[final] ).
cnf(i_0_28,negated_conjecture,
( ~ p2(X1,f3(c17))
| ~ p14(X2,f3(f4(f5(c17))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X2),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22))))) ),
not_p2_26,
[final] ).
cnf(i_0_29,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
p7_25,
[final] ).
cnf(i_0_30,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
not_p2_17,
[final] ).
cnf(i_0_31,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
p15_16,
[final] ).
cnf(i_0_32,negated_conjecture,
( p7(f10(X1,X2),f10(X3,X4))
| ~ p2(X2,X4)
| ~ p7(X1,X3) ),
p7_23,
[final] ).
cnf(i_0_33,negated_conjecture,
( p7(f8(X1,X2),f8(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_22,
[final] ).
cnf(i_0_34,negated_conjecture,
( p7(f9(X1,X2),f9(X3,X4))
| ~ p7(X1,X3)
| ~ p7(X2,X4) ),
p7_21,
[final] ).
cnf(i_0_35,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_20,
[final] ).
cnf(i_0_36,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_24,
[final] ).
cnf(i_0_37,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
p14_7,
[final] ).
cnf(i_0_38,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
p15_19,
[final] ).
cnf(i_0_39,negated_conjecture,
( p14(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p14(X3,X4) ),
p14_18,
[final] ).
cnf(i_0_40,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_14,
[final] ).
cnf(i_0_41,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_15,
[final] ).
cnf(i_0_42,negated_conjecture,
( p14(X1,X2)
| p2(X1,X2)
| ~ p15(X1,X2) ),
p14_13,
[final] ).
cnf(i_0_43,negated_conjecture,
( p7(f11(X1),f11(X2))
| ~ p2(X1,X2) ),
p7_12,
[final] ).
cnf(i_0_44,negated_conjecture,
( p7(f12(X1),f12(X2))
| ~ p7(X1,X2) ),
p7_8,
[final] ).
cnf(i_0_45,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_10,
[final] ).
cnf(i_0_46,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p2_11,
[final] ).
cnf(i_0_47,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_9,
[final] ).
cnf(i_0_48,negated_conjecture,
( ~ p14(X1,X2)
| ~ p2(X1,X2) ),
not_p14_6,
[final] ).
cnf(i_0_49,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
p14_4,
[final] ).
cnf(i_0_50,negated_conjecture,
( p15(X1,X2)
| ~ p14(X1,X2) ),
p15_5,
[final] ).
cnf(i_0_51,negated_conjecture,
~ p2(c16,f3(c17)),
not_p2_3,
[final] ).
cnf(i_0_52,negated_conjecture,
p7(X1,X1),
p7_2,
[final] ).
cnf(i_0_53,negated_conjecture,
p2(X1,X1),
p2_1,
[final] ).
cnf(i_0_54,plain,
~ p14(X1,X1),
inference(scs_inference,[],[i_0_53,i_0_48]) ).
cnf(i_0_55,plain,
( ~ p2(X1,X2)
| ~ p14(X1,X2) ),
inference(rename_variables,[],[i_0_48]) ).
cnf(i_0_56,plain,
p15(c18,f3(f4(f5(c17)))),
inference(scs_inference,[],[i_0_53,i_0_49,i_0_48,i_0_50]) ).
cnf(i_0_57,plain,
( ~ p14(X1,X2)
| p15(X1,X2) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_58,plain,
p7(f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))),c20),
inference(scs_inference,[],[i_0_29,i_0_52,i_0_53,i_0_49,i_0_48,i_0_50,i_0_40]) ).
cnf(i_0_59,plain,
p7(X1,X1),
inference(rename_variables,[],[i_0_52]) ).
cnf(i_0_60,plain,
( ~ p7(X1,X2)
| p7(X3,X2)
| ~ p7(X1,X3) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_61,plain,
~ p2(f3(c17),c16),
inference(scs_inference,[],[i_0_29,i_0_52,i_0_53,i_0_51,i_0_49,i_0_48,i_0_50,i_0_40,i_0_41]) ).
cnf(i_0_62,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_63,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_64,plain,
( ~ p15(c16,f3(c17))
| p14(c16,f3(c17)) ),
inference(scs_inference,[],[i_0_29,i_0_52,i_0_53,i_0_51,i_0_49,i_0_48,i_0_50,i_0_40,i_0_41,i_0_42]) ).
cnf(i_0_65,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_66,plain,
( ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| ~ p15(c19,f6(f3(f4(f5(c17))),c16)) ),
inference(scs_inference,[],[i_0_29,i_0_52,i_0_53,i_0_51,i_0_49,i_0_48,i_0_50,i_0_40,i_0_41,i_0_42,i_0_27]) ).
cnf(i_0_67,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X3)
| ~ p14(X1,f3(f4(f5(c17)))) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_68,plain,
( ~ p2(c21,f3(c17))
| ~ p15(c19,f6(f3(f4(f5(c17))),c16)) ),
inference(scs_inference,[],[i_0_29,i_0_52,i_0_53,i_0_51,i_0_49,i_0_48,i_0_50,i_0_40,i_0_41,i_0_42,i_0_27,i_0_28]) ).
cnf(i_0_69,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X2,f3(c17)) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_70,plain,
( p14(c16,f3(c17))
| ~ p2(c18,f3(c17))
| ~ p2(f3(f4(f5(c17))),f3(c17)) ),
inference(scs_inference,[],[i_0_29,i_0_52,i_0_53,i_0_51,i_0_49,i_0_31,i_0_48,i_0_50,i_0_40,i_0_41,i_0_42,i_0_39]) ).
cnf(i_0_71,plain,
p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(scs_inference,[],[i_0_37,i_0_50]) ).
cnf(i_0_72,plain,
( ~ p14(X1,X2)
| p15(X1,X2) ),
inference(rename_variables,[],[i_0_50]) ).
cnf(i_0_73,plain,
~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(scs_inference,[],[i_0_29,i_0_37,i_0_49,i_0_50,i_0_27]) ).
cnf(i_0_74,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X3)
| ~ p14(X1,f3(f4(f5(c17)))) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_75,plain,
~ p2(c21,f3(c17)),
inference(scs_inference,[],[i_0_29,i_0_37,i_0_49,i_0_50,i_0_27,i_0_28]) ).
cnf(i_0_76,plain,
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X1),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X3),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(X3,f6(f3(f4(f5(c17))),c16))
| ~ p14(X1,f3(f4(f5(c17))))
| ~ p2(X2,f3(c17)) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_77,plain,
~ p2(f6(f3(f4(f5(c17))),c16),c19),
inference(scs_inference,[],[i_0_29,i_0_54,i_0_37,i_0_53,i_0_49,i_0_50,i_0_27,i_0_28,i_0_39]) ).
cnf(i_0_78,plain,
~ p14(X1,X1),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_79,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_80,plain,
( ~ p14(X1,X2)
| p14(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_81,plain,
( ~ p15(f3(c17),c16)
| p14(f3(c17),c16) ),
inference(scs_inference,[],[i_0_29,i_0_54,i_0_61,i_0_37,i_0_53,i_0_49,i_0_50,i_0_27,i_0_28,i_0_39,i_0_42]) ).
cnf(i_0_82,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_83,plain,
( p14(f3(c17),c16)
| ~ p2(c18,f3(c17))
| ~ p2(f3(f4(f5(c17))),c16) ),
inference(scs_inference,[],[i_0_29,i_0_54,i_0_56,i_0_61,i_0_37,i_0_53,i_0_49,i_0_50,i_0_27,i_0_28,i_0_39,i_0_42,i_0_38]) ).
cnf(i_0_84,plain,
~ p2(f3(c17),c21),
inference(scs_inference,[],[i_0_75,i_0_53,i_0_41]) ).
cnf(i_0_85,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_86,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_87,plain,
( ~ p15(c21,f3(c17))
| p14(c21,f3(c17)) ),
inference(scs_inference,[],[i_0_75,i_0_53,i_0_41,i_0_42]) ).
cnf(i_0_88,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_90,plain,
~ p2(c19,f6(f3(f4(f5(c17))),c16)),
inference(scs_inference,[],[i_0_77,i_0_53,i_0_41]) ).
cnf(i_0_91,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_92,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_93,plain,
~ p2(f3(f4(f5(c17))),c18),
inference(scs_inference,[],[i_0_77,i_0_54,i_0_49,i_0_53,i_0_91,i_0_41,i_0_39]) ).
cnf(i_0_94,plain,
~ p14(X1,X1),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_95,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_96,plain,
( ~ p14(X1,X2)
| p14(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_97,plain,
( ~ p15(f6(f3(f4(f5(c17))),c16),c19)
| p14(f6(f3(f4(f5(c17))),c16),c19) ),
inference(scs_inference,[],[i_0_77,i_0_54,i_0_49,i_0_53,i_0_91,i_0_41,i_0_39,i_0_42]) ).
cnf(i_0_98,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_99,plain,
( p14(f6(f3(f4(f5(c17))),c16),c19)
| ~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),c16)) ),
inference(scs_inference,[],[i_0_77,i_0_54,i_0_49,i_0_31,i_0_53,i_0_91,i_0_95,i_0_41,i_0_39,i_0_42,i_0_38]) ).
cnf(i_0_100,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_101,plain,
( ~ p15(X1,X2)
| p15(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_102,plain,
( ~ p2(f13(c16,f3(f5(c17))),c16)
| p14(f6(f3(f4(f5(c17))),c16),c19) ),
inference(scs_inference,[],[i_0_77,i_0_54,i_0_49,i_0_31,i_0_53,i_0_91,i_0_95,i_0_100,i_0_41,i_0_39,i_0_42,i_0_38,i_0_36]) ).
cnf(i_0_103,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_104,plain,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_105,plain,
( ~ p15(f3(f4(f5(c17))),c18)
| p14(f3(f4(f5(c17))),c18) ),
inference(scs_inference,[],[i_0_93,i_0_42]) ).
cnf(i_0_106,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_108,plain,
( ~ p15(f3(c17),c21)
| p14(f3(c17),c21) ),
inference(scs_inference,[],[i_0_84,i_0_42]) ).
cnf(i_0_109,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_110,plain,
( p14(f3(c17),c21)
| ~ p2(c18,f3(c17))
| ~ p2(f3(f4(f5(c17))),c21) ),
inference(scs_inference,[],[i_0_84,i_0_56,i_0_42,i_0_38]) ).
cnf(i_0_111,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| p14(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(scs_inference,[],[i_0_30,i_0_42]) ).
cnf(i_0_112,plain,
( p2(X1,X2)
| ~ p15(X1,X2)
| p14(X1,X2) ),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_113,plain,
( p14(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(f6(f3(f4(f5(c17))),c16),f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(scs_inference,[],[i_0_71,i_0_53,i_0_30,i_0_42,i_0_38]) ).
cnf(i_0_114,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_115,plain,
( ~ p15(X1,X2)
| p15(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_116,plain,
( ~ p2(c16,f13(c16,f3(f5(c17))))
| p14(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(scs_inference,[],[i_0_71,i_0_53,i_0_114,i_0_30,i_0_42,i_0_38,i_0_36]) ).
cnf(i_0_117,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_118,plain,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_119,plain,
~ p2(c18,f3(f4(f5(c17)))),
inference(scs_inference,[],[i_0_93,i_0_53,i_0_41]) ).
cnf(i_0_120,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_121,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_122,plain,
( p15(c18,X1)
| ~ p2(f3(f4(f5(c17))),X1) ),
inference(scs_inference,[],[i_0_93,i_0_56,i_0_53,i_0_120,i_0_41,i_0_38]) ).
cnf(i_0_123,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_124,plain,
( ~ p15(X1,X2)
| p15(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_125,plain,
( p15(c19,X1)
| ~ p2(f6(f3(f4(f5(c17))),c16),X1) ),
inference(scs_inference,[],[i_0_71,i_0_53,i_0_38]) ).
cnf(i_0_126,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_127,plain,
( ~ p15(X1,X2)
| p15(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_128,plain,
( p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p2(c19,X1) ),
inference(scs_inference,[],[i_0_53,i_0_31,i_0_38]) ).
cnf(i_0_129,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_130,plain,
( ~ p15(X1,X2)
| p15(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_131,plain,
~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(scs_inference,[],[i_0_30,i_0_53,i_0_41]) ).
cnf(i_0_132,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_133,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_41]) ).
cnf(i_0_134,plain,
$false,
inference(scs_inference,[],[i_0_30,i_0_73,i_0_31,i_0_53,i_0_41,i_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN594-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n021.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 08:41:25 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.53/1.61 % Version : CSE_E---1.7
% 0.53/1.61 % Problem : theBenchmark.p
% 0.53/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.53/1.61 % SZS output start CNFRefutation
% See solution above
% 0.64/1.76 % Total time : 1.271s
%------------------------------------------------------------------------------