%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN591-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n003.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 05:39:42 PM UTC 2026
% Result : Unsatisfiable 48.76s 25.67s
% Output : CNFRefutation 48.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of clauses : 113 ( 47 unt; 4 nHn; 96 RR)
% Number of literals : 237 ( 0 equ; 128 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 186 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_27,negated_conjecture,
( p11(c13,f4(c17,f5(X1)))
| p11(c13,f4(f5(X1),c17))
| ~ p12(c14,f4(X1,c17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).
cnf(p3_26,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
cnf(p2_22,negated_conjecture,
( p2(f6(X1),f5(X1))
| ~ p12(c14,f4(X1,c17)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
cnf(p11_25,negated_conjecture,
( p11(X1,X2)
| ~ p3(X3,X2)
| ~ p7(X4,X1)
| ~ p11(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).
cnf(p12_24,negated_conjecture,
( p12(X1,X2)
| ~ p3(X3,X2)
| ~ p7(X4,X1)
| ~ p12(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_24) ).
cnf(p10_23,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X2)
| ~ p7(X4,X1)
| ~ p10(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_23) ).
cnf(not_p11_13,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
cnf(p3_21,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_21) ).
cnf(p2_20,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(p7_19,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_19) ).
cnf(p11_16,negated_conjecture,
( p11(c14,f4(c15,X1))
| ~ p10(c13,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).
cnf(p2_17,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p2_18,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(p8_14,negated_conjecture,
( p8(X1)
| ~ p8(X2)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_14) ).
cnf(p9_15,negated_conjecture,
( p9(X1)
| ~ p9(X2)
| ~ p7(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_15) ).
cnf(p12_11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
cnf(not_p2_10,negated_conjecture,
~ p2(c15,c17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_10) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(p10_6,negated_conjecture,
p10(c14,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_6) ).
cnf(p10_9,negated_conjecture,
p10(c13,c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_9) ).
cnf(p10_8,negated_conjecture,
p10(c13,c17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_8) ).
cnf(p10_7,negated_conjecture,
p10(c13,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_7) ).
cnf(c13_is_p8_2,negated_conjecture,
p8(c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13_is_p8_2) ).
cnf(c14_is_p9_1,negated_conjecture,
p9(c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14_is_p9_1) ).
cnf(i_0_27,negated_conjecture,
( p11(c13,f4(c17,f5(X1)))
| p11(c13,f4(f5(X1),c17))
| ~ p12(c14,f4(X1,c17)) ),
p11_27,
[final] ).
cnf(i_0_28,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p3_26,
[final] ).
cnf(i_0_29,negated_conjecture,
( p2(f6(X1),f5(X1))
| ~ p12(c14,f4(X1,c17)) ),
p2_22,
[final] ).
cnf(i_0_30,negated_conjecture,
( p11(X1,X2)
| ~ p3(X3,X2)
| ~ p7(X4,X1)
| ~ p11(X4,X3) ),
p11_25,
[final] ).
cnf(i_0_31,negated_conjecture,
( p12(X1,X2)
| ~ p3(X3,X2)
| ~ p7(X4,X1)
| ~ p12(X4,X3) ),
p12_24,
[final] ).
cnf(i_0_32,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X2)
| ~ p7(X4,X1)
| ~ p10(X4,X3) ),
p10_23,
[final] ).
cnf(i_0_33,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)),
not_p11_13,
[final] ).
cnf(i_0_34,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))),
not_p11_12,
[final] ).
cnf(i_0_35,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_21,
[final] ).
cnf(i_0_36,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_20,
[final] ).
cnf(i_0_37,negated_conjecture,
( p7(X1,X2)
| ~ p7(X3,X1)
| ~ p7(X3,X2) ),
p7_19,
[final] ).
cnf(i_0_38,negated_conjecture,
( p11(c14,f4(c15,X1))
| ~ p10(c13,X1) ),
p11_16,
[final] ).
cnf(i_0_39,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p2_17,
[final] ).
cnf(i_0_40,negated_conjecture,
( p2(f6(X1),f6(X2))
| ~ p2(X1,X2) ),
p2_18,
[final] ).
cnf(i_0_41,negated_conjecture,
( p8(X1)
| ~ p8(X2)
| ~ p7(X2,X1) ),
p8_14,
[final] ).
cnf(i_0_42,negated_conjecture,
( p9(X1)
| ~ p9(X2)
| ~ p7(X2,X1) ),
p9_15,
[final] ).
cnf(i_0_43,negated_conjecture,
p12(c14,f4(c18,c17)),
p12_11,
[final] ).
cnf(i_0_44,negated_conjecture,
~ p2(c15,c17),
not_p2_10,
[final] ).
cnf(i_0_45,negated_conjecture,
p3(X1,X1),
p3_5,
[final] ).
cnf(i_0_46,negated_conjecture,
p2(X1,X1),
p2_4,
[final] ).
cnf(i_0_47,negated_conjecture,
p7(X1,X1),
p7_3,
[final] ).
cnf(i_0_48,negated_conjecture,
p10(c14,X1),
p10_6,
[final] ).
cnf(i_0_49,negated_conjecture,
p10(c13,c16),
p10_9,
[final] ).
cnf(i_0_50,negated_conjecture,
p10(c13,c17),
p10_8,
[final] ).
cnf(i_0_51,negated_conjecture,
p10(c13,c15),
p10_7,
[final] ).
cnf(i_0_52,negated_conjecture,
p8(c13),
c13_is_p8_2,
[final] ).
cnf(i_0_53,negated_conjecture,
p9(c14),
c14_is_p9_1,
[final] ).
cnf(i_0_54,plain,
p2(f6(c18),f5(c18)),
inference(scs_inference,[],[i_0_43,i_0_29]) ).
cnf(i_0_55,plain,
( ~ p12(c14,f4(X1,c17))
| p2(f6(X1),f5(X1)) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_56,plain,
~ p2(c17,c15),
inference(scs_inference,[],[i_0_46,i_0_44,i_0_43,i_0_29,i_0_36]) ).
cnf(i_0_57,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_46]) ).
cnf(i_0_58,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_59,plain,
p2(f5(f6(c18)),f5(f5(c18))),
inference(scs_inference,[],[i_0_54,i_0_39]) ).
cnf(i_0_60,plain,
( ~ p2(X1,X2)
| p2(f5(X1),f5(X2)) ),
inference(rename_variables,[],[i_0_39]) ).
cnf(i_0_61,plain,
p2(f6(f6(c18)),f6(f5(c18))),
inference(scs_inference,[],[i_0_54,i_0_39,i_0_40]) ).
cnf(i_0_62,plain,
( ~ p2(X1,X2)
| p2(f6(X1),f6(X2)) ),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_63,plain,
p11(c14,f4(c15,c16)),
inference(scs_inference,[],[i_0_49,i_0_54,i_0_39,i_0_40,i_0_38]) ).
cnf(i_0_64,plain,
( ~ p10(c13,X1)
| p11(c14,f4(c15,X1)) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_65,plain,
p3(f4(f6(c18),f6(c18)),f4(f5(c18),f5(c18))),
inference(scs_inference,[],[i_0_49,i_0_54,i_0_39,i_0_40,i_0_38,i_0_28]) ).
cnf(i_0_66,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p3(f4(X1,X3),f4(X2,X4)) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_67,plain,
( p11(c13,f4(f5(c18),c17))
| p11(c13,f4(c17,f5(c18))) ),
inference(scs_inference,[],[i_0_49,i_0_54,i_0_43,i_0_39,i_0_40,i_0_38,i_0_28,i_0_27]) ).
cnf(i_0_68,plain,
( ~ p12(c14,f4(X1,c17))
| p11(c13,f4(f5(X1),c17))
| p11(c13,f4(c17,f5(X1))) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_70,plain,
p11(c14,f4(c15,c17)),
inference(scs_inference,[],[i_0_50,i_0_38]) ).
cnf(i_0_71,plain,
( ~ p10(c13,X1)
| p11(c14,f4(c15,X1)) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_72,plain,
( ~ p11(X1,f4(f6(c18),f6(c18)))
| p11(X1,f4(f5(c18),f5(c18))) ),
inference(scs_inference,[],[i_0_50,i_0_65,i_0_47,i_0_38,i_0_30]) ).
cnf(i_0_73,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_74,plain,
( ~ p12(X1,f4(f6(c18),f6(c18)))
| p12(X1,f4(f5(c18),f5(c18))) ),
inference(scs_inference,[],[i_0_50,i_0_65,i_0_47,i_0_38,i_0_30,i_0_31]) ).
cnf(i_0_75,plain,
( ~ p7(X1,X2)
| p12(X2,X3)
| ~ p3(X4,X3)
| ~ p12(X1,X4) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_76,plain,
p11(c14,f4(c15,c15)),
inference(scs_inference,[],[i_0_51,i_0_38]) ).
cnf(i_0_77,plain,
( ~ p10(c13,X1)
| p11(c14,f4(c15,X1)) ),
inference(rename_variables,[],[i_0_38]) ).
cnf(i_0_78,plain,
p3(f4(X1,f6(c18)),f4(X1,f5(c18))),
inference(scs_inference,[],[i_0_54,i_0_46,i_0_28]) ).
cnf(i_0_79,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p3(f4(X1,X3),f4(X2,X4)) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_80,plain,
( ~ p12(X1,f4(X2,f6(c18)))
| p12(X1,f4(X2,f5(c18))) ),
inference(scs_inference,[],[i_0_54,i_0_46,i_0_47,i_0_28,i_0_31]) ).
cnf(i_0_81,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p12(X4,X2)
| ~ p12(X3,X1) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_82,plain,
( ~ p11(X1,f4(X2,f6(c18)))
| p11(X1,f4(X2,f5(c18))) ),
inference(scs_inference,[],[i_0_54,i_0_46,i_0_47,i_0_28,i_0_31,i_0_30]) ).
cnf(i_0_83,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_84,plain,
p3(f4(f6(c18),X1),f4(f5(c18),X1)),
inference(scs_inference,[],[i_0_54,i_0_46,i_0_28]) ).
cnf(i_0_85,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p3(f4(X3,X1),f4(X4,X2)) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_86,plain,
( ~ p12(X1,f4(f6(c18),X2))
| p12(X1,f4(f5(c18),X2)) ),
inference(scs_inference,[],[i_0_84,i_0_47,i_0_31]) ).
cnf(i_0_87,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p12(X4,X2)
| ~ p12(X3,X1) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_88,plain,
( ~ p11(X1,f4(f6(c18),X2))
| p11(X1,f4(f5(c18),X2)) ),
inference(scs_inference,[],[i_0_84,i_0_47,i_0_31,i_0_30]) ).
cnf(i_0_89,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_90,plain,
p3(f4(f5(c18),f5(c18)),f4(f6(c18),f6(c18))),
inference(scs_inference,[],[i_0_65,i_0_45,i_0_35]) ).
cnf(i_0_91,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_92,plain,
( ~ p3(X1,X2)
| p3(X3,X2)
| ~ p3(X1,X3) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_93,plain,
( ~ p11(X1,f4(f5(c18),f5(c18)))
| p11(X1,f4(f6(c18),f6(c18))) ),
inference(scs_inference,[],[i_0_65,i_0_45,i_0_47,i_0_35,i_0_30]) ).
cnf(i_0_94,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_95,plain,
( p11(X1,f4(f5(c18),f5(c18)))
| ~ p11(X1,f4(f5(c18),f5(c18))) ),
inference(scs_inference,[],[i_0_65,i_0_45,i_0_47,i_0_35,i_0_30,i_0_94]) ).
cnf(i_0_96,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_98,plain,
( ~ p12(X1,f4(f5(c18),f5(c18)))
| p12(X1,f4(f6(c18),f6(c18))) ),
inference(scs_inference,[],[i_0_90,i_0_47,i_0_31]) ).
cnf(i_0_99,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p12(X4,X2)
| ~ p12(X3,X1) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_100,plain,
( p12(X1,f4(f5(c18),f5(c18)))
| ~ p12(X1,f4(f5(c18),f5(c18))) ),
inference(scs_inference,[],[i_0_65,i_0_90,i_0_47,i_0_31,i_0_99]) ).
cnf(i_0_101,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p12(X4,X2)
| ~ p12(X3,X1) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_103,plain,
p3(f4(X1,f5(c18)),f4(X1,f6(c18))),
inference(scs_inference,[],[i_0_78,i_0_45,i_0_35]) ).
cnf(i_0_104,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_105,plain,
( ~ p3(X1,X2)
| p3(X3,X2)
| ~ p3(X1,X3) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_106,plain,
~ p11(c13,f4(c17,f5(c18))),
inference(scs_inference,[],[i_0_34,i_0_78,i_0_45,i_0_47,i_0_35,i_0_30]) ).
cnf(i_0_107,plain,
p7(X1,X1),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_108,plain,
( ~ p3(X1,X2)
| ~ p7(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_109,plain,
p11(c13,f4(f5(c18),c17)),
inference(scs_inference,[],[i_0_106,i_0_67]) ).
cnf(i_0_110,plain,
( ~ p12(X1,f4(X2,f5(c18)))
| p12(X1,f4(X2,f6(c18))) ),
inference(scs_inference,[],[i_0_103,i_0_47,i_0_31]) ).
cnf(i_0_111,plain,
( ~ p7(X1,X2)
| p12(X2,X3)
| ~ p3(X4,X3)
| ~ p12(X1,X4) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_112,plain,
p3(f4(f5(c18),X1),f4(f6(c18),X1)),
inference(scs_inference,[],[i_0_84,i_0_45,i_0_35]) ).
cnf(i_0_113,plain,
p3(X1,X1),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_114,plain,
( ~ p3(X1,X2)
| p3(X3,X2)
| ~ p3(X1,X3) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_115,plain,
$false,
inference(scs_inference,[],[i_0_84,i_0_109,i_0_33,i_0_45,i_0_47,i_0_35,i_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN591-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n003.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:41:26 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 48.76/25.67 % Version : CSE_E---1.7
% 48.76/25.67 % Problem : theBenchmark.p
% 48.76/25.67 % SZS status Unsatisfiable for theBenchmark.p
% 48.76/25.67 % SZS output start CNFRefutation
% See solution above
% 48.92/25.75 % Total time : 25.321s
%------------------------------------------------------------------------------