TSTP Solution File: SEU118+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 13:35:41 EDT 2022
% Result : Theorem 235.84s 236.13s
% Output : Refutation 235.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU118+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 22:26:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 235.84/236.13 # Version: 1.3
% 235.84/236.13 # SZS status Theorem
% 235.84/236.13 # SZS output start CNFRefutation
% 235.84/236.13 fof(t34_finsub_1,conjecture,(![A]:(![B]:(element(B,powerset(A))=>(finite(A)=>element(B,finite_subsets(A)))))),input).
% 235.84/236.13 fof(c39,negated_conjecture,(~(![A]:(![B]:(element(B,powerset(A))=>(finite(A)=>element(B,finite_subsets(A))))))),inference(assume_negation,status(cth),[t34_finsub_1])).
% 235.84/236.13 fof(c40,negated_conjecture,(?[A]:(?[B]:(element(B,powerset(A))&(finite(A)&~element(B,finite_subsets(A)))))),inference(fof_nnf,status(thm),[c39])).
% 235.84/236.13 fof(c41,negated_conjecture,(?[X17]:(?[X18]:(element(X18,powerset(X17))&(finite(X17)&~element(X18,finite_subsets(X17)))))),inference(variable_rename,status(thm),[c40])).
% 235.84/236.13 fof(c42,negated_conjecture,(element(skolem0002,powerset(skolem0001))&(finite(skolem0001)&~element(skolem0002,finite_subsets(skolem0001)))),inference(skolemize,status(esa),[c41])).
% 235.84/236.13 cnf(c45,negated_conjecture,~element(skolem0002,finite_subsets(skolem0001)),inference(split_conjunct,status(thm),[c42])).
% 235.84/236.13 fof(t1_subset,axiom,(![A]:(![B]:(in(A,B)=>element(A,B)))),input).
% 235.84/236.13 fof(c49,axiom,(![A]:(![B]:(~in(A,B)|element(A,B)))),inference(fof_nnf,status(thm),[t1_subset])).
% 235.84/236.13 fof(c50,axiom,(![X21]:(![X22]:(~in(X21,X22)|element(X21,X22)))),inference(variable_rename,status(thm),[c49])).
% 235.84/236.13 cnf(c51,axiom,~in(X148,X147)|element(X148,X147),inference(split_conjunct,status(thm),[c50])).
% 235.84/236.13 cnf(c44,negated_conjecture,finite(skolem0001),inference(split_conjunct,status(thm),[c42])).
% 235.84/236.13 cnf(c43,negated_conjecture,element(skolem0002,powerset(skolem0001)),inference(split_conjunct,status(thm),[c42])).
% 235.84/236.13 fof(t3_subset,axiom,(![A]:(![B]:(element(A,powerset(B))<=>subset(A,B)))),input).
% 235.84/236.13 fof(c33,axiom,(![A]:(![B]:((~element(A,powerset(B))|subset(A,B))&(~subset(A,B)|element(A,powerset(B)))))),inference(fof_nnf,status(thm),[t3_subset])).
% 235.84/236.13 fof(c34,axiom,((![A]:(![B]:(~element(A,powerset(B))|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|element(A,powerset(B)))))),inference(shift_quantors,status(thm),[c33])).
% 235.84/236.13 fof(c36,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(c35,axiom,((![X13]:(![X14]:(~element(X13,powerset(X14))|subset(X13,X14))))&(![X15]:(![X16]:(~subset(X15,X16)|element(X15,powerset(X16)))))),inference(variable_rename,status(thm),[c34])).])).
% 235.84/236.13 cnf(c37,axiom,~element(X198,powerset(X197))|subset(X198,X197),inference(split_conjunct,status(thm),[c36])).
% 235.84/236.13 cnf(c352,plain,subset(skolem0002,skolem0001),inference(resolution,status(thm),[c37, c43])).
% 235.84/236.13 fof(t13_finset_1,axiom,(![A]:(![B]:((subset(A,B)&finite(B))=>finite(A)))),input).
% 235.84/236.13 fof(c52,axiom,(![A]:(![B]:((~subset(A,B)|~finite(B))|finite(A)))),inference(fof_nnf,status(thm),[t13_finset_1])).
% 235.84/236.13 fof(c53,axiom,(![A]:((![B]:(~subset(A,B)|~finite(B)))|finite(A))),inference(shift_quantors,status(thm),[c52])).
% 235.84/236.13 fof(c55,axiom,(![X23]:(![X24]:((~subset(X23,X24)|~finite(X24))|finite(X23)))),inference(shift_quantors,status(thm),[fof(c54,axiom,(![X23]:((![X24]:(~subset(X23,X24)|~finite(X24)))|finite(X23))),inference(variable_rename,status(thm),[c53])).])).
% 235.84/236.13 cnf(c56,axiom,~subset(X212,X211)|~finite(X211)|finite(X212),inference(split_conjunct,status(thm),[c55])).
% 235.84/236.13 cnf(c396,plain,~finite(skolem0001)|finite(skolem0002),inference(resolution,status(thm),[c56, c352])).
% 235.84/236.13 cnf(c487,plain,finite(skolem0002),inference(resolution,status(thm),[c396, c44])).
% 235.84/236.13 fof(fc2_finsub_1,axiom,(![A]:((((~empty(finite_subsets(A)))&cup_closed(finite_subsets(A)))&diff_closed(finite_subsets(A)))&preboolean(finite_subsets(A)))),input).
% 235.84/236.13 fof(c119,axiom,(![A]:(((~empty(finite_subsets(A))&cup_closed(finite_subsets(A)))&diff_closed(finite_subsets(A)))&preboolean(finite_subsets(A)))),inference(fof_simplification,status(thm),[fc2_finsub_1])).
% 235.84/236.13 fof(c120,axiom,((((![A]:~empty(finite_subsets(A)))&(![A]:cup_closed(finite_subsets(A))))&(![A]:diff_closed(finite_subsets(A))))&(![A]:preboolean(finite_subsets(A)))),inference(shift_quantors,status(thm),[c119])).
% 235.84/236.13 fof(c122,axiom,(![X40]:(![X41]:(![X42]:(![X43]:(((~empty(finite_subsets(X40))&cup_closed(finite_subsets(X41)))&diff_closed(finite_subsets(X42)))&preboolean(finite_subsets(X43))))))),inference(shift_quantors,status(thm),[fof(c121,axiom,((((![X40]:~empty(finite_subsets(X40)))&(![X41]:cup_closed(finite_subsets(X41))))&(![X42]:diff_closed(finite_subsets(X42))))&(![X43]:preboolean(finite_subsets(X43)))),inference(variable_rename,status(thm),[c120])).])).
% 235.84/236.13 cnf(c126,axiom,preboolean(finite_subsets(X95)),inference(split_conjunct,status(thm),[c122])).
% 235.84/236.13 cnf(reflexivity,axiom,X66=X66,eq_axiom).
% 235.84/236.13 fof(d5_finsub_1,axiom,(![A]:(![B]:(preboolean(B)=>(B=finite_subsets(A)<=>(![C]:(in(C,B)<=>(subset(C,A)&finite(C)))))))),input).
% 235.84/236.13 fof(c144,axiom,(![A]:(![B]:(~preboolean(B)|((B!=finite_subsets(A)|(![C]:((~in(C,B)|(subset(C,A)&finite(C)))&((~subset(C,A)|~finite(C))|in(C,B)))))&((?[C]:((~in(C,B)|(~subset(C,A)|~finite(C)))&(in(C,B)|(subset(C,A)&finite(C)))))|B=finite_subsets(A)))))),inference(fof_nnf,status(thm),[d5_finsub_1])).
% 235.84/236.13 fof(c145,axiom,(![A]:(![B]:(~preboolean(B)|((B!=finite_subsets(A)|((![C]:(~in(C,B)|(subset(C,A)&finite(C))))&(![C]:((~subset(C,A)|~finite(C))|in(C,B)))))&((?[C]:((~in(C,B)|(~subset(C,A)|~finite(C)))&(in(C,B)|(subset(C,A)&finite(C)))))|B=finite_subsets(A)))))),inference(shift_quantors,status(thm),[c144])).
% 235.84/236.13 fof(c146,axiom,(![X52]:(![X53]:(~preboolean(X53)|((X53!=finite_subsets(X52)|((![X54]:(~in(X54,X53)|(subset(X54,X52)&finite(X54))))&(![X55]:((~subset(X55,X52)|~finite(X55))|in(X55,X53)))))&((?[X56]:((~in(X56,X53)|(~subset(X56,X52)|~finite(X56)))&(in(X56,X53)|(subset(X56,X52)&finite(X56)))))|X53=finite_subsets(X52)))))),inference(variable_rename,status(thm),[c145])).
% 235.84/236.13 fof(c148,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(~preboolean(X53)|((X53!=finite_subsets(X52)|((~in(X54,X53)|(subset(X54,X52)&finite(X54)))&((~subset(X55,X52)|~finite(X55))|in(X55,X53))))&(((~in(skolem0013(X52,X53),X53)|(~subset(skolem0013(X52,X53),X52)|~finite(skolem0013(X52,X53))))&(in(skolem0013(X52,X53),X53)|(subset(skolem0013(X52,X53),X52)&finite(skolem0013(X52,X53)))))|X53=finite_subsets(X52)))))))),inference(shift_quantors,status(thm),[fof(c147,axiom,(![X52]:(![X53]:(~preboolean(X53)|((X53!=finite_subsets(X52)|((![X54]:(~in(X54,X53)|(subset(X54,X52)&finite(X54))))&(![X55]:((~subset(X55,X52)|~finite(X55))|in(X55,X53)))))&(((~in(skolem0013(X52,X53),X53)|(~subset(skolem0013(X52,X53),X52)|~finite(skolem0013(X52,X53))))&(in(skolem0013(X52,X53),X53)|(subset(skolem0013(X52,X53),X52)&finite(skolem0013(X52,X53)))))|X53=finite_subsets(X52)))))),inference(skolemize,status(esa),[c146])).])).
% 235.84/236.13 fof(c149,axiom,(![X52]:(![X53]:(![X54]:(![X55]:((((~preboolean(X53)|(X53!=finite_subsets(X52)|(~in(X54,X53)|subset(X54,X52))))&(~preboolean(X53)|(X53!=finite_subsets(X52)|(~in(X54,X53)|finite(X54)))))&(~preboolean(X53)|(X53!=finite_subsets(X52)|((~subset(X55,X52)|~finite(X55))|in(X55,X53)))))&((~preboolean(X53)|((~in(skolem0013(X52,X53),X53)|(~subset(skolem0013(X52,X53),X52)|~finite(skolem0013(X52,X53))))|X53=finite_subsets(X52)))&((~preboolean(X53)|((in(skolem0013(X52,X53),X53)|subset(skolem0013(X52,X53),X52))|X53=finite_subsets(X52)))&(~preboolean(X53)|((in(skolem0013(X52,X53),X53)|finite(skolem0013(X52,X53)))|X53=finite_subsets(X52)))))))))),inference(distribute,status(thm),[c148])).
% 235.84/236.13 cnf(c152,axiom,~preboolean(X250)|X250!=finite_subsets(X252)|~subset(X251,X252)|~finite(X251)|in(X251,X250),inference(split_conjunct,status(thm),[c149])).
% 235.84/236.13 cnf(c511,plain,~preboolean(finite_subsets(X913))|~subset(X914,X913)|~finite(X914)|in(X914,finite_subsets(X913)),inference(resolution,status(thm),[c152, reflexivity])).
% 235.84/236.13 cnf(c3052,plain,~preboolean(finite_subsets(skolem0001))|~finite(skolem0002)|in(skolem0002,finite_subsets(skolem0001)),inference(resolution,status(thm),[c511, c352])).
% 235.84/236.13 cnf(c166663,plain,~finite(skolem0002)|in(skolem0002,finite_subsets(skolem0001)),inference(resolution,status(thm),[c3052, c126])).
% 235.84/236.13 cnf(c173170,plain,in(skolem0002,finite_subsets(skolem0001)),inference(resolution,status(thm),[c166663, c487])).
% 235.84/236.13 cnf(c173194,plain,element(skolem0002,finite_subsets(skolem0001)),inference(resolution,status(thm),[c173170, c51])).
% 235.84/236.13 cnf(c173291,plain,$false,inference(resolution,status(thm),[c173194, c45])).
% 235.84/236.13 # SZS output end CNFRefutation
% 235.84/236.13
% 235.84/236.13 # Initial clauses : 89
% 235.84/236.13 # Processed clauses : 3865
% 235.84/236.13 # Factors computed : 22
% 235.84/236.13 # Resolvents computed: 173095
% 235.84/236.13 # Tautologies deleted: 40
% 235.84/236.13 # Forward subsumed : 6075
% 235.84/236.13 # Backward subsumed : 330
% 235.84/236.13 # -------- CPU Time ---------
% 235.84/236.13 # User time : 235.335 s
% 235.84/236.13 # System time : 0.346 s
% 235.84/236.13 # Total time : 235.681 s
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