TSTP Solution File: SEU094+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 : Tue Jul 19 13:35:36 EDT 2022
% Result : Theorem 203.54s 203.82s
% Output : Refutation 203.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 23:09:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 203.54/203.82 # Version: 1.3
% 203.54/203.82 # SZS status Theorem
% 203.54/203.82 # SZS output start CNFRefutation
% 203.54/203.82 fof(t25_finset_1,conjecture,(![A]:((finite(A)&(![B]:(in(B,A)=>finite(B))))<=>finite(union(A)))),input).
% 203.54/203.82 fof(c47,negated_conjecture,(~(![A]:((finite(A)&(![B]:(in(B,A)=>finite(B))))<=>finite(union(A))))),inference(assume_negation,status(cth),[t25_finset_1])).
% 203.54/203.82 fof(c48,negated_conjecture,(?[A]:(((~finite(A)|(?[B]:(in(B,A)&~finite(B))))|~finite(union(A)))&((finite(A)&(![B]:(~in(B,A)|finite(B))))|finite(union(A))))),inference(fof_nnf,status(thm),[c47])).
% 203.54/203.82 fof(c49,negated_conjecture,(?[X21]:(((~finite(X21)|(?[X22]:(in(X22,X21)&~finite(X22))))|~finite(union(X21)))&((finite(X21)&(![X23]:(~in(X23,X21)|finite(X23))))|finite(union(X21))))),inference(variable_rename,status(thm),[c48])).
% 203.54/203.82 fof(c51,negated_conjecture,(![X23]:(((~finite(skolem0001)|(in(skolem0002,skolem0001)&~finite(skolem0002)))|~finite(union(skolem0001)))&((finite(skolem0001)&(~in(X23,skolem0001)|finite(X23)))|finite(union(skolem0001))))),inference(shift_quantors,status(thm),[fof(c50,negated_conjecture,(((~finite(skolem0001)|(in(skolem0002,skolem0001)&~finite(skolem0002)))|~finite(union(skolem0001)))&((finite(skolem0001)&(![X23]:(~in(X23,skolem0001)|finite(X23))))|finite(union(skolem0001)))),inference(skolemize,status(esa),[c49])).])).
% 203.54/203.82 fof(c52,negated_conjecture,(![X23]:((((~finite(skolem0001)|in(skolem0002,skolem0001))|~finite(union(skolem0001)))&((~finite(skolem0001)|~finite(skolem0002))|~finite(union(skolem0001))))&((finite(skolem0001)|finite(union(skolem0001)))&((~in(X23,skolem0001)|finite(X23))|finite(union(skolem0001)))))),inference(distribute,status(thm),[c51])).
% 203.54/203.82 cnf(c55,negated_conjecture,finite(skolem0001)|finite(union(skolem0001)),inference(split_conjunct,status(thm),[c52])).
% 203.54/203.82 fof(t24_finset_1,axiom,(![A]:(finite(A)<=>finite(powerset(A)))),input).
% 203.54/203.82 fof(c57,axiom,(![A]:((~finite(A)|finite(powerset(A)))&(~finite(powerset(A))|finite(A)))),inference(fof_nnf,status(thm),[t24_finset_1])).
% 203.54/203.82 fof(c58,axiom,((![A]:(~finite(A)|finite(powerset(A))))&(![A]:(~finite(powerset(A))|finite(A)))),inference(shift_quantors,status(thm),[c57])).
% 203.54/203.82 fof(c60,axiom,(![X24]:(![X25]:((~finite(X24)|finite(powerset(X24)))&(~finite(powerset(X25))|finite(X25))))),inference(shift_quantors,status(thm),[fof(c59,axiom,((![X24]:(~finite(X24)|finite(powerset(X24))))&(![X25]:(~finite(powerset(X25))|finite(X25)))),inference(variable_rename,status(thm),[c58])).])).
% 203.54/203.82 cnf(c61,axiom,~finite(X192)|finite(powerset(X192)),inference(split_conjunct,status(thm),[c60])).
% 203.54/203.82 cnf(c447,plain,finite(powerset(union(skolem0001)))|finite(skolem0001),inference(resolution,status(thm),[c61, c55])).
% 203.54/203.82 fof(t13_finset_1,axiom,(![A]:(![B]:((subset(A,B)&finite(B))=>finite(A)))),input).
% 203.54/203.82 fof(c66,axiom,(![A]:(![B]:((~subset(A,B)|~finite(B))|finite(A)))),inference(fof_nnf,status(thm),[t13_finset_1])).
% 203.54/203.82 fof(c67,axiom,(![A]:((![B]:(~subset(A,B)|~finite(B)))|finite(A))),inference(shift_quantors,status(thm),[c66])).
% 203.54/203.82 fof(c69,axiom,(![X28]:(![X29]:((~subset(X28,X29)|~finite(X29))|finite(X28)))),inference(shift_quantors,status(thm),[fof(c68,axiom,(![X28]:((![X29]:(~subset(X28,X29)|~finite(X29)))|finite(X28))),inference(variable_rename,status(thm),[c67])).])).
% 203.54/203.82 cnf(c70,axiom,~subset(X212,X211)|~finite(X211)|finite(X212),inference(split_conjunct,status(thm),[c69])).
% 203.54/203.82 fof(t100_zfmisc_1,axiom,(![A]:subset(A,powerset(union(A)))),input).
% 203.54/203.82 fof(c71,axiom,(![X30]:subset(X30,powerset(union(X30)))),inference(variable_rename,status(thm),[t100_zfmisc_1])).
% 203.54/203.82 cnf(c72,axiom,subset(X213,powerset(union(X213))),inference(split_conjunct,status(thm),[c71])).
% 203.54/203.82 cnf(c526,plain,~finite(powerset(union(X365)))|finite(X365),inference(resolution,status(thm),[c72, c70])).
% 203.54/203.82 cnf(c2252,plain,finite(skolem0001),inference(resolution,status(thm),[c526, c447])).
% 203.54/203.82 cnf(c54,negated_conjecture,~finite(skolem0001)|~finite(skolem0002)|~finite(union(skolem0001)),inference(split_conjunct,status(thm),[c52])).
% 203.54/203.82 fof(l22_finset_1,axiom,(![A]:((finite(A)&(![B]:(in(B,A)=>finite(B))))=>finite(union(A)))),input).
% 203.54/203.82 fof(c223,axiom,(![A]:((~finite(A)|(?[B]:(in(B,A)&~finite(B))))|finite(union(A)))),inference(fof_nnf,status(thm),[l22_finset_1])).
% 203.54/203.82 fof(c224,axiom,(![X61]:((~finite(X61)|(?[X62]:(in(X62,X61)&~finite(X62))))|finite(union(X61)))),inference(variable_rename,status(thm),[c223])).
% 203.54/203.82 fof(c225,axiom,(![X61]:((~finite(X61)|(in(skolem0028(X61),X61)&~finite(skolem0028(X61))))|finite(union(X61)))),inference(skolemize,status(esa),[c224])).
% 203.54/203.82 fof(c226,axiom,(![X61]:(((~finite(X61)|in(skolem0028(X61),X61))|finite(union(X61)))&((~finite(X61)|~finite(skolem0028(X61)))|finite(union(X61))))),inference(distribute,status(thm),[c225])).
% 203.54/203.82 cnf(c228,axiom,~finite(X236)|~finite(skolem0028(X236))|finite(union(X236)),inference(split_conjunct,status(thm),[c226])).
% 203.54/203.82 cnf(c56,negated_conjecture,~in(X189,skolem0001)|finite(X189)|finite(union(skolem0001)),inference(split_conjunct,status(thm),[c52])).
% 203.54/203.82 cnf(c227,axiom,~finite(X229)|in(skolem0028(X229),X229)|finite(union(X229)),inference(split_conjunct,status(thm),[c226])).
% 203.54/203.82 cnf(c801,plain,in(skolem0028(skolem0001),skolem0001)|finite(union(skolem0001)),inference(resolution,status(thm),[c227, c55])).
% 203.54/203.82 cnf(c4576,plain,finite(union(skolem0001))|finite(skolem0028(skolem0001)),inference(resolution,status(thm),[c801, c56])).
% 203.54/203.82 cnf(c120652,plain,finite(union(skolem0001))|~finite(skolem0001),inference(resolution,status(thm),[c4576, c228])).
% 203.54/203.82 cnf(c120682,plain,finite(union(skolem0001)),inference(resolution,status(thm),[c120652, c2252])).
% 203.54/203.82 cnf(c120689,plain,~finite(skolem0001)|~finite(skolem0002),inference(resolution,status(thm),[c120682, c54])).
% 203.54/203.82 fof(t92_zfmisc_1,axiom,(![A]:(![B]:(in(A,B)=>subset(A,union(B))))),input).
% 203.54/203.82 fof(c20,axiom,(![A]:(![B]:(~in(A,B)|subset(A,union(B))))),inference(fof_nnf,status(thm),[t92_zfmisc_1])).
% 203.54/203.82 fof(c21,axiom,(![X2]:(![X3]:(~in(X2,X3)|subset(X2,union(X3))))),inference(variable_rename,status(thm),[c20])).
% 203.54/203.82 cnf(c22,axiom,~in(X154,X153)|subset(X154,union(X153)),inference(split_conjunct,status(thm),[c21])).
% 203.54/203.82 cnf(c53,negated_conjecture,~finite(skolem0001)|in(skolem0002,skolem0001)|~finite(union(skolem0001)),inference(split_conjunct,status(thm),[c52])).
% 203.54/203.82 cnf(c120702,plain,~finite(skolem0001)|in(skolem0002,skolem0001),inference(resolution,status(thm),[c120682, c53])).
% 203.54/203.82 cnf(c120772,plain,in(skolem0002,skolem0001),inference(resolution,status(thm),[c120702, c2252])).
% 203.54/203.82 cnf(c120780,plain,subset(skolem0002,union(skolem0001)),inference(resolution,status(thm),[c120772, c22])).
% 203.54/203.82 cnf(c120904,plain,~finite(union(skolem0001))|finite(skolem0002),inference(resolution,status(thm),[c120780, c70])).
% 203.54/203.82 cnf(c121687,plain,finite(skolem0002),inference(resolution,status(thm),[c120904, c120682])).
% 203.54/203.82 cnf(c121694,plain,~finite(skolem0001),inference(resolution,status(thm),[c121687, c120689])).
% 203.54/203.82 cnf(c121724,plain,$false,inference(resolution,status(thm),[c121694, c2252])).
% 203.54/203.82 # SZS output end CNFRefutation
% 203.54/203.82
% 203.54/203.82 # Initial clauses : 174
% 203.54/203.82 # Processed clauses : 4206
% 203.54/203.82 # Factors computed : 9
% 203.54/203.82 # Resolvents computed: 121407
% 203.54/203.82 # Tautologies deleted: 45
% 203.54/203.82 # Forward subsumed : 9455
% 203.54/203.82 # Backward subsumed : 292
% 203.54/203.82 # -------- CPU Time ---------
% 203.54/203.82 # User time : 203.218 s
% 203.54/203.82 # System time : 0.204 s
% 203.54/203.82 # Total time : 203.422 s
%------------------------------------------------------------------------------