%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET787-1 : TPTP v9.2.1. Released v2.7.0.
% 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 : n015.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 05:08:29 PM UTC 2026
% Result : Unsatisfiable 1.32s 1.61s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 55)
% Comments :
%------------------------------------------------------------------------------
cnf(un_eq_Union_2_c1,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
cnf(converseD,axiom,
( member(pair(X2,X1),X3)
| ~ member(pair(X1,X2),converse(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converseD) ).
cnf(clause10,axiom,
( member(pair(X2,X1),converse(X3))
| ~ member(pair(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(converseE_2,axiom,
( member(pair(converse_sk1(X1),converse_sk2(X1)),X2)
| ~ member(X1,converse(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converseE_2) ).
cnf(clause112,axiom,
( X1 = X2
| member(X1,X3)
| ~ member(X1,cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(clause132,axiom,
( subset(X1,X2)
| ~ member(subsetI_sk1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
cnf(clause120,axiom,
( member(unionE_sk1(X1,X2),X2)
| ~ member(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(clause119,axiom,
( member(X1,unionE_sk1(X1,X2))
| ~ member(X1,union(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(unI1,axiom,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI1) ).
cnf(unI2,axiom,
( member(X1,un(X3,X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI2) ).
cnf(converseE_1,axiom,
( X1 = pair(converseE_sk2(X1),converseE_sk1(X1))
| ~ member(X1,converse(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converseE_1) ).
cnf(clause131,axiom,
( member(subsetI_sk1(X1,X2),X1)
| subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
cnf(un_eq_Union_2_c2,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
cnf(clause158,axiom,
~ member(X1,eptset),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
cnf(i_0_14,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
un_eq_Union_2_c1,
[final] ).
cnf(i_0_15,axiom,
( member(pair(X2,X1),X3)
| ~ member(pair(X1,X2),converse(X3)) ),
converseD,
[final] ).
cnf(i_0_16,axiom,
( member(pair(X2,X1),converse(X3))
| ~ member(pair(X1,X2),X3) ),
clause10,
[final] ).
cnf(i_0_17,axiom,
( member(pair(converse_sk1(X1),converse_sk2(X1)),X2)
| ~ member(X1,converse(X2)) ),
converseE_2,
[final] ).
cnf(i_0_18,axiom,
( X1 = X2
| member(X1,X3)
| ~ member(X1,cons(X2,X3)) ),
clause112,
[final] ).
cnf(i_0_19,axiom,
( subset(X1,X2)
| ~ member(subsetI_sk1(X1,X2),X2) ),
clause132,
[final] ).
cnf(i_0_20,axiom,
( member(unionE_sk1(X1,X2),X2)
| ~ member(X1,union(X2)) ),
clause120,
[final] ).
cnf(i_0_21,axiom,
( member(X1,unionE_sk1(X1,X2))
| ~ member(X1,union(X2)) ),
clause119,
[final] ).
cnf(i_0_22,axiom,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
unI1,
[final] ).
cnf(i_0_23,axiom,
( member(X1,un(X3,X2))
| ~ member(X1,X2) ),
unI2,
[final] ).
cnf(i_0_24,axiom,
( X1 = pair(converseE_sk2(X1),converseE_sk1(X1))
| ~ member(X1,converse(X2)) ),
converseE_1,
[final] ).
cnf(i_0_25,axiom,
( member(subsetI_sk1(X1,X2),X1)
| subset(X1,X2) ),
clause131,
[final] ).
cnf(i_0_26,negated_conjecture,
~ member(sk2,un(a,b)),
un_eq_Union_2_c2,
[final] ).
cnf(i_0_27,axiom,
~ member(X1,eptset),
clause158,
[final] ).
cnf(i_0_28,axiom,
X1 = X1 ).
cnf(i_0_29,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_30,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_31,axiom,
( X1 != X2
| pair(X1,X3) = pair(X2,X3) ) ).
cnf(i_0_32,axiom,
( X1 != X2
| pair(X3,X1) = pair(X3,X2) ) ).
cnf(i_0_33,axiom,
( X1 != X2
| ~ member(X1,X3)
| member(X2,X3) ) ).
cnf(i_0_34,axiom,
( X1 != X2
| ~ member(X3,X1)
| member(X3,X2) ) ).
cnf(i_0_35,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_36,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_28_001,axiom,
X1 = X1 ).
cnf(i_0_29_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_30_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_31_004,axiom,
( X1 != X2
| pair(X1,X3) = pair(X2,X3) ) ).
cnf(i_0_32_005,axiom,
( X1 != X2
| pair(X3,X1) = pair(X3,X2) ) ).
cnf(i_0_33_006,axiom,
( X1 != X2
| ~ member(X1,X3)
| member(X2,X3) ) ).
cnf(i_0_34_007,axiom,
( X1 != X2
| ~ member(X3,X1)
| member(X3,X2) ) ).
cnf(i_0_35_008,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_36_009,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_37,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(a,cons(b,eptset))),
inference(scs_inference,[],[i_0_14,i_0_20]) ).
cnf(i_0_38,plain,
( ~ member(X1,union(X2))
| member(unionE_sk1(X1,X2),X2) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_39,plain,
member(sk2,unionE_sk1(sk2,cons(a,cons(b,eptset)))),
inference(scs_inference,[],[i_0_14,i_0_20,i_0_21]) ).
cnf(i_0_40,plain,
( ~ member(X1,union(X2))
| member(X1,unionE_sk1(X1,X2)) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_41,plain,
~ member(sk2,a),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_20,i_0_21,i_0_22]) ).
cnf(i_0_42,plain,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_43,plain,
~ member(sk2,b),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_20,i_0_21,i_0_22,i_0_23]) ).
cnf(i_0_44,plain,
( member(X1,un(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_45,plain,
~ member(X1,converse(eptset)),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_27,i_0_20,i_0_21,i_0_22,i_0_23,i_0_17]) ).
cnf(i_0_46,plain,
~ member(X1,eptset),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_47,plain,
( member(pair(converse_sk1(X1),converse_sk2(X1)),X2)
| ~ member(X1,converse(X2)) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_48,plain,
subset(eptset,X1),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_27,i_0_46,i_0_20,i_0_21,i_0_22,i_0_23,i_0_17,i_0_25]) ).
cnf(i_0_49,plain,
~ member(X1,eptset),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_50,plain,
( member(subsetI_sk1(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_51,plain,
union(cons(a,cons(b,eptset))) != un(a,b),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_27,i_0_46,i_0_20,i_0_21,i_0_22,i_0_23,i_0_17,i_0_25,i_0_34]) ).
cnf(i_0_52,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_27,i_0_46,i_0_20,i_0_21,i_0_22,i_0_23,i_0_17,i_0_25,i_0_34,i_0_18]) ).
cnf(i_0_53,plain,
( ~ member(X1,cons(X2,X3))
| X1 = X2
| member(X1,X3) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_54,plain,
( a = unionE_sk1(sk2,cons(a,cons(b,eptset)))
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)) ),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_27,i_0_46,i_0_20,i_0_21,i_0_22,i_0_23,i_0_17,i_0_25,i_0_34,i_0_18,i_0_29]) ).
cnf(i_0_55,plain,
( X1 != sk2
| member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ member(X1,un(a,b)) ),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_27,i_0_46,i_0_20,i_0_21,i_0_22,i_0_23,i_0_17,i_0_25,i_0_34,i_0_18,i_0_29,i_0_33]) ).
cnf(i_0_56,plain,
( member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset))
| ~ member(sk2,un(a,b)) ),
inference(equality_inference,[],[55]) ).
cnf(i_0_57,plain,
subset(converse(eptset),X1),
inference(scs_inference,[],[i_0_45,i_0_25]) ).
cnf(i_0_58,plain,
~ member(X1,converse(eptset)),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_59,plain,
( member(subsetI_sk1(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_60,plain,
~ member(X1,converse(converse(eptset))),
inference(scs_inference,[],[i_0_45,i_0_58,i_0_25,i_0_17]) ).
cnf(i_0_61,plain,
~ member(X1,converse(eptset)),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_62,plain,
( member(pair(converse_sk1(X1),converse_sk2(X1)),X2)
| ~ member(X1,converse(X2)) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_63,plain,
union(cons(a,cons(b,eptset))) != a,
inference(scs_inference,[],[i_0_14,i_0_41,i_0_45,i_0_58,i_0_25,i_0_17,i_0_34]) ).
cnf(i_0_64,plain,
( X1 != sk2
| ~ member(X1,un(a,b)) ),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_41,i_0_45,i_0_58,i_0_25,i_0_17,i_0_34,i_0_33]) ).
cnf(i_0_65,plain,
( ~ member(X1,a)
| X1 != sk2 ),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_41,i_0_45,i_0_58,i_0_25,i_0_17,i_0_34,i_0_33,i_0_22]) ).
cnf(i_0_66,plain,
( member(X1,un(X2,X3))
| ~ member(X1,X2) ),
inference(rename_variables,[],[i_0_22]) ).
cnf(i_0_67,plain,
( ~ member(X1,b)
| X1 != sk2 ),
inference(scs_inference,[],[i_0_14,i_0_26,i_0_41,i_0_45,i_0_58,i_0_25,i_0_17,i_0_34,i_0_33,i_0_22,i_0_23]) ).
cnf(i_0_68,plain,
( member(X1,un(X2,X3))
| ~ member(X1,X3) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_70,plain,
~ member(sk2,un(a,b)),
inference(equality_inference,[],[64]) ).
cnf(i_0_71,plain,
~ member(sk2,a),
inference(equality_inference,[],[65]) ).
cnf(i_0_72,plain,
~ member(sk2,b),
inference(equality_inference,[],[67]) ).
cnf(i_0_73,plain,
subset(converse(converse(eptset)),X1),
inference(scs_inference,[],[i_0_60,i_0_25]) ).
cnf(i_0_74,plain,
~ member(X1,converse(converse(eptset))),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_75,plain,
( member(subsetI_sk1(X1,X2),X1)
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_76,plain,
~ member(X1,converse(converse(converse(eptset)))),
inference(scs_inference,[],[i_0_60,i_0_74,i_0_25,i_0_17]) ).
cnf(i_0_77,plain,
~ member(X1,converse(converse(eptset))),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_78,plain,
( member(pair(converse_sk1(X1),converse_sk2(X1)),X2)
| ~ member(X1,converse(X2)) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_79,plain,
union(cons(a,cons(b,eptset))) != b,
inference(scs_inference,[],[i_0_14,i_0_43,i_0_60,i_0_74,i_0_25,i_0_17,i_0_34]) ).
cnf(i_0_80,plain,
union(cons(a,cons(b,eptset))) != converse(eptset),
inference(scs_inference,[],[i_0_14,i_0_45,i_0_34]) ).
cnf(i_0_81,plain,
~ member(X1,converse(eptset)),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_82,plain,
union(cons(a,cons(b,eptset))) != eptset,
inference(scs_inference,[],[i_0_14,i_0_27,i_0_34]) ).
cnf(i_0_83,plain,
~ member(X1,eptset),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_84,plain,
union(cons(a,cons(b,eptset))) != converse(converse(eptset)),
inference(scs_inference,[],[i_0_14,i_0_60,i_0_34]) ).
cnf(i_0_85,plain,
~ member(X1,converse(converse(eptset))),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_86,plain,
cons(a,cons(b,eptset)) != converse(eptset),
inference(scs_inference,[],[i_0_37,i_0_45,i_0_34]) ).
cnf(i_0_87,plain,
~ member(X1,converse(eptset)),
inference(rename_variables,[],[i_0_45]) ).
cnf(i_0_88,plain,
cons(a,cons(b,eptset)) != eptset,
inference(scs_inference,[],[i_0_37,i_0_27,i_0_34]) ).
cnf(i_0_89,plain,
~ member(X1,eptset),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_90,plain,
cons(a,cons(b,eptset)) != converse(converse(eptset)),
inference(scs_inference,[],[i_0_37,i_0_60,i_0_34]) ).
cnf(i_0_91,plain,
~ member(X1,converse(converse(eptset))),
inference(rename_variables,[],[i_0_60]) ).
cnf(i_0_92,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) != un(a,b),
inference(scs_inference,[],[i_0_39,i_0_26,i_0_34]) ).
cnf(i_0_93,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) != a,
inference(scs_inference,[],[i_0_39,i_0_41,i_0_34]) ).
cnf(i_0_94,plain,
member(unionE_sk1(sk2,cons(a,cons(b,eptset))),cons(b,eptset)),
inference(scs_inference,[],[i_0_39,i_0_41,i_0_34,i_0_52]) ).
cnf(i_0_95,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = b,
inference(scs_inference,[],[i_0_39,i_0_41,i_0_27,i_0_34,i_0_52,i_0_18]) ).
cnf(i_0_96,plain,
~ member(X1,eptset),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_97,plain,
( ~ member(X1,cons(X2,X3))
| X1 = X2
| member(X1,X3) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_98,plain,
b = unionE_sk1(sk2,cons(a,cons(b,eptset))),
inference(scs_inference,[],[i_0_39,i_0_41,i_0_27,i_0_34,i_0_52,i_0_18,i_0_29]) ).
cnf(i_0_99,plain,
$false,
inference(scs_inference,[],[i_0_39,i_0_43,i_0_95,i_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET787-1 : TPTP v9.2.1. Released v2.7.0.
% 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
% 0.15/0.32 % Computer : n015.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 02:35:32 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.32/1.61 % Version : CSE_E---1.7
% 1.32/1.61 % Problem : theBenchmark.p
% 1.32/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.61 % SZS output start CNFRefutation
% See solution above
% 1.43/1.73 % Total time : 1.270s
%------------------------------------------------------------------------------