TSTP Solution File: NUM394+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUM394+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 : 600s
% DateTime : Mon Jul 18 13:36:11 EDT 2022
% Result : Theorem 26.19s 26.39s
% Output : Refutation 26.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM394+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jul 7 17:02:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 26.19/26.39 # Version: 1.3
% 26.19/26.39 # SZS status Theorem
% 26.19/26.39 # SZS output start CNFRefutation
% 26.19/26.39 fof(existence_m1_subset_1,axiom,(![A]:(?[B]:element(B,A))),input).
% 26.19/26.39 fof(c122,axiom,(![X41]:(?[X42]:element(X42,X41))),inference(variable_rename,status(thm),[existence_m1_subset_1])).
% 26.19/26.39 fof(c123,axiom,(![X41]:element(skolem0014(X41),X41)),inference(skolemize,status(esa),[c122])).
% 26.19/26.39 cnf(c124,axiom,element(skolem0014(X76),X76),inference(split_conjunct,status(thm),[c123])).
% 26.19/26.39 fof(t2_subset,axiom,(![A]:(![B]:(element(A,B)=>(empty(B)|in(A,B))))),input).
% 26.19/26.39 fof(c35,axiom,(![A]:(![B]:(~element(A,B)|(empty(B)|in(A,B))))),inference(fof_nnf,status(thm),[t2_subset])).
% 26.19/26.39 fof(c36,axiom,(![X17]:(![X18]:(~element(X17,X18)|(empty(X18)|in(X17,X18))))),inference(variable_rename,status(thm),[c35])).
% 26.19/26.39 cnf(c37,axiom,~element(X141,X140)|empty(X140)|in(X141,X140),inference(split_conjunct,status(thm),[c36])).
% 26.19/26.39 cnf(c278,plain,empty(X195)|in(skolem0014(X195),X195),inference(resolution,status(thm),[c37, c124])).
% 26.19/26.39 fof(t7_boole,axiom,(![A]:(![B]:(~(in(A,B)&empty(B))))),input).
% 26.19/26.39 fof(c17,axiom,(![A]:(![B]:(~in(A,B)|~empty(B)))),inference(fof_nnf,status(thm),[t7_boole])).
% 26.19/26.39 fof(c18,axiom,(![X4]:(![X5]:(~in(X4,X5)|~empty(X5)))),inference(variable_rename,status(thm),[c17])).
% 26.19/26.39 cnf(c19,axiom,~in(X100,X101)|~empty(X101),inference(split_conjunct,status(thm),[c18])).
% 26.19/26.39 fof(t26_ordinal1,conjecture,(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(ordinal_subset(A,B)|in(B,A)))))),input).
% 26.19/26.39 fof(c38,negated_conjecture,(~(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(ordinal_subset(A,B)|in(B,A))))))),inference(assume_negation,status(cth),[t26_ordinal1])).
% 26.19/26.39 fof(c39,negated_conjecture,(?[A]:(ordinal(A)&(?[B]:(ordinal(B)&(~ordinal_subset(A,B)&~in(B,A)))))),inference(fof_nnf,status(thm),[c38])).
% 26.19/26.39 fof(c40,negated_conjecture,(?[X19]:(ordinal(X19)&(?[X20]:(ordinal(X20)&(~ordinal_subset(X19,X20)&~in(X20,X19)))))),inference(variable_rename,status(thm),[c39])).
% 26.19/26.39 fof(c41,negated_conjecture,(ordinal(skolem0001)&(ordinal(skolem0002)&(~ordinal_subset(skolem0001,skolem0002)&~in(skolem0002,skolem0001)))),inference(skolemize,status(esa),[c40])).
% 26.19/26.39 cnf(c44,negated_conjecture,~ordinal_subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c41])).
% 26.19/26.39 cnf(reflexivity,axiom,X56=X56,eq_axiom).
% 26.19/26.39 cnf(c9,plain,X93!=X94|X92!=X95|~ordinal_subset(X93,X92)|ordinal_subset(X94,X95),eq_axiom).
% 26.19/26.39 cnf(c43,negated_conjecture,ordinal(skolem0002),inference(split_conjunct,status(thm),[c41])).
% 26.19/26.39 cnf(c42,negated_conjecture,ordinal(skolem0001),inference(split_conjunct,status(thm),[c41])).
% 26.19/26.39 fof(reflexivity_r1_ordinal1,axiom,(![A]:(![B]:((ordinal(A)&ordinal(B))=>ordinal_subset(A,A)))),input).
% 26.19/26.39 fof(c57,axiom,(![A]:(![B]:((~ordinal(A)|~ordinal(B))|ordinal_subset(A,A)))),inference(fof_nnf,status(thm),[reflexivity_r1_ordinal1])).
% 26.19/26.39 fof(c58,axiom,(![A]:((~ordinal(A)|(![B]:~ordinal(B)))|ordinal_subset(A,A))),inference(shift_quantors,status(thm),[c57])).
% 26.19/26.39 fof(c60,axiom,(![X26]:(![X27]:((~ordinal(X26)|~ordinal(X27))|ordinal_subset(X26,X26)))),inference(shift_quantors,status(thm),[fof(c59,axiom,(![X26]:((~ordinal(X26)|(![X27]:~ordinal(X27)))|ordinal_subset(X26,X26))),inference(variable_rename,status(thm),[c58])).])).
% 26.19/26.39 cnf(c61,axiom,~ordinal(X145)|~ordinal(X144)|ordinal_subset(X145,X145),inference(split_conjunct,status(thm),[c60])).
% 26.19/26.39 cnf(c282,plain,~ordinal(X146)|ordinal_subset(X146,X146),inference(resolution,status(thm),[c61, c42])).
% 26.19/26.39 cnf(c286,plain,ordinal_subset(skolem0002,skolem0002),inference(resolution,status(thm),[c282, c43])).
% 26.19/26.39 cnf(c289,plain,skolem0002!=X203|skolem0002!=X202|ordinal_subset(X203,X202),inference(resolution,status(thm),[c286, c9])).
% 26.19/26.39 cnf(c672,plain,skolem0002!=X281|ordinal_subset(X281,skolem0002),inference(resolution,status(thm),[c289, reflexivity])).
% 26.19/26.39 cnf(c45,negated_conjecture,~in(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c41])).
% 26.19/26.39 fof(t24_ordinal1,axiom,(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(~(((~in(A,B))&A!=B)&(~in(B,A)))))))),input).
% 26.19/26.39 fof(c46,axiom,(![A]:(ordinal(A)=>(![B]:(ordinal(B)=>(~((~in(A,B)&A!=B)&~in(B,A))))))),inference(fof_simplification,status(thm),[t24_ordinal1])).
% 26.19/26.39 fof(c47,axiom,(![A]:(~ordinal(A)|(![B]:(~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),inference(fof_nnf,status(thm),[c46])).
% 26.19/26.39 fof(c49,axiom,(![X21]:(![X22]:(~ordinal(X21)|(~ordinal(X22)|((in(X21,X22)|X21=X22)|in(X22,X21)))))),inference(shift_quantors,status(thm),[fof(c48,axiom,(![X21]:(~ordinal(X21)|(![X22]:(~ordinal(X22)|((in(X21,X22)|X21=X22)|in(X22,X21)))))),inference(variable_rename,status(thm),[c47])).])).
% 26.19/26.39 cnf(c50,axiom,~ordinal(X143)|~ordinal(X142)|in(X143,X142)|X143=X142|in(X142,X143),inference(split_conjunct,status(thm),[c49])).
% 26.19/26.39 cnf(c279,plain,~ordinal(X196)|in(X196,skolem0001)|X196=skolem0001|in(skolem0001,X196),inference(resolution,status(thm),[c50, c42])).
% 26.19/26.39 cnf(c610,plain,in(skolem0002,skolem0001)|skolem0002=skolem0001|in(skolem0001,skolem0002),inference(resolution,status(thm),[c279, c43])).
% 26.19/26.39 cnf(c3065,plain,skolem0002=skolem0001|in(skolem0001,skolem0002),inference(resolution,status(thm),[c610, c45])).
% 26.19/26.39 cnf(c8146,plain,in(skolem0001,skolem0002)|ordinal_subset(skolem0001,skolem0002),inference(resolution,status(thm),[c3065, c672])).
% 26.19/26.39 cnf(c10586,plain,in(skolem0001,skolem0002),inference(resolution,status(thm),[c8146, c44])).
% 26.19/26.39 cnf(c10590,plain,~empty(skolem0002),inference(resolution,status(thm),[c10586, c19])).
% 26.19/26.39 cnf(c10605,plain,in(skolem0014(skolem0002),skolem0002),inference(resolution,status(thm),[c10590, c278])).
% 26.19/26.39 fof(t5_subset,axiom,(![A]:(![B]:(![C]:(~((in(A,B)&element(B,powerset(C)))&empty(C)))))),input).
% 26.19/26.39 fof(c23,axiom,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|~empty(C))))),inference(fof_nnf,status(thm),[t5_subset])).
% 26.19/26.39 fof(c24,axiom,(![X7]:(![X8]:(![X9]:((~in(X7,X8)|~element(X8,powerset(X9)))|~empty(X9))))),inference(variable_rename,status(thm),[c23])).
% 26.19/26.39 cnf(c25,axiom,~in(X127,X128)|~element(X128,powerset(X126))|~empty(X126),inference(split_conjunct,status(thm),[c24])).
% 26.19/26.39 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 26.19/26.39 fof(c29,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 26.19/26.39 fof(c30,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c29])).
% 26.19/26.39 fof(c32,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~element(X13,powerset(X14))|subset(X13,X14))&(~subset(X15,X16)|element(X15,powerset(X16)))))))),inference(shift_quantors,status(thm),[fof(c31,axiom,((![X13]:(![X14]:(~element(X13,powerset(X14))|subset(X13,X14))))&(![X15]:(![X16]:(~subset(X15,X16)|element(X15,powerset(X16)))))),inference(variable_rename,status(thm),[c30])).])).
% 26.19/26.39 cnf(c34,axiom,~subset(X135,X134)|element(X135,powerset(X134)),inference(split_conjunct,status(thm),[c32])).
% 26.19/26.39 fof(redefinition_r1_ordinal1,axiom,(![A]:(![B]:((ordinal(A)&ordinal(B))=>(ordinal_subset(A,B)<=>subset(A,B))))),input).
% 26.19/26.39 fof(c62,axiom,(![A]:(![B]:((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(~subset(A,B)|ordinal_subset(A,B)))))),inference(fof_nnf,status(thm),[redefinition_r1_ordinal1])).
% 26.19/26.39 fof(c63,axiom,(![X28]:(![X29]:((~ordinal(X28)|~ordinal(X29))|((~ordinal_subset(X28,X29)|subset(X28,X29))&(~subset(X28,X29)|ordinal_subset(X28,X29)))))),inference(variable_rename,status(thm),[c62])).
% 26.19/26.39 fof(c64,axiom,(![X28]:(![X29]:(((~ordinal(X28)|~ordinal(X29))|(~ordinal_subset(X28,X29)|subset(X28,X29)))&((~ordinal(X28)|~ordinal(X29))|(~subset(X28,X29)|ordinal_subset(X28,X29)))))),inference(distribute,status(thm),[c63])).
% 26.19/26.39 cnf(c65,axiom,~ordinal(X149)|~ordinal(X148)|~ordinal_subset(X149,X148)|subset(X149,X148),inference(split_conjunct,status(thm),[c64])).
% 26.19/26.39 fof(connectedness_r1_ordinal1,axiom,(![A]:(![B]:((ordinal(A)&ordinal(B))=>(ordinal_subset(A,B)|ordinal_subset(B,A))))),input).
% 26.19/26.39 fof(c134,axiom,(![A]:(![B]:((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A))))),inference(fof_nnf,status(thm),[connectedness_r1_ordinal1])).
% 26.19/26.39 fof(c135,axiom,(![X47]:(![X48]:((~ordinal(X47)|~ordinal(X48))|(ordinal_subset(X47,X48)|ordinal_subset(X48,X47))))),inference(variable_rename,status(thm),[c134])).
% 26.19/26.39 cnf(c136,axiom,~ordinal(X159)|~ordinal(X160)|ordinal_subset(X159,X160)|ordinal_subset(X160,X159),inference(split_conjunct,status(thm),[c135])).
% 26.19/26.39 cnf(c316,plain,~ordinal(X226)|ordinal_subset(X226,skolem0001)|ordinal_subset(skolem0001,X226),inference(resolution,status(thm),[c136, c42])).
% 26.19/26.39 cnf(c768,plain,ordinal_subset(skolem0002,skolem0001)|ordinal_subset(skolem0001,skolem0002),inference(resolution,status(thm),[c316, c43])).
% 26.19/26.39 cnf(c4853,plain,ordinal_subset(skolem0002,skolem0001),inference(resolution,status(thm),[c768, c44])).
% 26.19/26.39 cnf(c4855,plain,~ordinal(skolem0002)|~ordinal(skolem0001)|subset(skolem0002,skolem0001),inference(resolution,status(thm),[c4853, c65])).
% 26.19/26.39 cnf(c35860,plain,~ordinal(skolem0002)|subset(skolem0002,skolem0001),inference(resolution,status(thm),[c4855, c42])).
% 26.19/26.39 cnf(c35861,plain,subset(skolem0002,skolem0001),inference(resolution,status(thm),[c35860, c43])).
% 26.19/26.39 cnf(c35863,plain,element(skolem0002,powerset(skolem0001)),inference(resolution,status(thm),[c35861, c34])).
% 26.19/26.39 cnf(c35879,plain,~in(X2037,skolem0002)|~empty(skolem0001),inference(resolution,status(thm),[c35863, c25])).
% 26.19/26.39 cnf(c35888,plain,~empty(skolem0001),inference(resolution,status(thm),[c35879, c10605])).
% 26.19/26.39 fof(t4_subset,axiom,(![A]:(![B]:(![C]:((in(A,B)&element(B,powerset(C)))=>element(A,C))))),input).
% 26.19/26.39 fof(c26,axiom,(![A]:(![B]:(![C]:((~in(A,B)|~element(B,powerset(C)))|element(A,C))))),inference(fof_nnf,status(thm),[t4_subset])).
% 26.19/26.39 fof(c27,axiom,(![X10]:(![X11]:(![X12]:((~in(X10,X11)|~element(X11,powerset(X12)))|element(X10,X12))))),inference(variable_rename,status(thm),[c26])).
% 26.19/26.39 cnf(c28,axiom,~in(X129,X131)|~element(X131,powerset(X130))|element(X129,X130),inference(split_conjunct,status(thm),[c27])).
% 26.19/26.39 cnf(c35881,plain,~in(X2038,skolem0002)|element(X2038,skolem0001),inference(resolution,status(thm),[c35863, c28])).
% 26.19/26.39 cnf(c36004,plain,element(skolem0001,skolem0001),inference(resolution,status(thm),[c35881, c10586])).
% 26.19/26.39 cnf(c36076,plain,empty(skolem0001)|in(skolem0001,skolem0001),inference(resolution,status(thm),[c36004, c37])).
% 26.19/26.39 cnf(c36147,plain,in(skolem0001,skolem0001),inference(resolution,status(thm),[c36076, c35888])).
% 26.19/26.39 fof(antisymmetry_r2_hidden,axiom,(![A]:(![B]:(in(A,B)=>(~in(B,A))))),input).
% 26.19/26.39 fof(c157,axiom,(![A]:(![B]:(in(A,B)=>~in(B,A)))),inference(fof_simplification,status(thm),[antisymmetry_r2_hidden])).
% 26.19/26.39 fof(c158,axiom,(![A]:(![B]:(~in(A,B)|~in(B,A)))),inference(fof_nnf,status(thm),[c157])).
% 26.19/26.39 fof(c159,axiom,(![X54]:(![X55]:(~in(X54,X55)|~in(X55,X54)))),inference(variable_rename,status(thm),[c158])).
% 26.19/26.39 cnf(c160,axiom,~in(X117,X116)|~in(X116,X117),inference(split_conjunct,status(thm),[c159])).
% 26.19/26.39 cnf(c36175,plain,~in(skolem0001,skolem0001),inference(resolution,status(thm),[c36147, c160])).
% 26.19/26.39 cnf(c36177,plain,$false,inference(resolution,status(thm),[c36175, c36147])).
% 26.19/26.39 # SZS output end CNFRefutation
% 26.19/26.39
% 26.19/26.39 # Initial clauses : 80
% 26.19/26.39 # Processed clauses : 2098
% 26.19/26.39 # Factors computed : 2
% 26.19/26.39 # Resolvents computed: 36099
% 26.19/26.39 # Tautologies deleted: 65
% 26.19/26.39 # Forward subsumed : 5085
% 26.19/26.39 # Backward subsumed : 175
% 26.19/26.39 # -------- CPU Time ---------
% 26.19/26.39 # User time : 25.947 s
% 26.19/26.39 # System time : 0.066 s
% 26.19/26.39 # Total time : 26.013 s
%------------------------------------------------------------------------------