TSTP Solution File: SEU173+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 13:36:11 EDT 2022
% Result : Theorem 9.33s 9.55s
% Output : Refutation 9.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n027.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
% 0.12/0.33 % DateTime : Sun Jun 19 16:28:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 9.33/9.55 # Version: 1.3
% 9.33/9.55 # SZS status Theorem
% 9.33/9.55 # SZS output start CNFRefutation
% 9.33/9.55 fof(fc1_subset_1,axiom,(![A]:(~empty(powerset(A)))),input).
% 9.33/9.55 fof(c43,axiom,(![A]:~empty(powerset(A))),inference(fof_simplification,status(thm),[fc1_subset_1])).
% 9.33/9.55 fof(c44,axiom,(![X17]:~empty(powerset(X17))),inference(variable_rename,status(thm),[c43])).
% 9.33/9.55 cnf(c45,axiom,~empty(powerset(X50)),inference(split_conjunct,status(thm),[c44])).
% 9.33/9.55 fof(l71_subset_1,conjecture,(![A]:(![B]:((![C]:(in(C,A)=>in(C,B)))=>element(A,powerset(B))))),input).
% 9.33/9.55 fof(c35,negated_conjecture,(~(![A]:(![B]:((![C]:(in(C,A)=>in(C,B)))=>element(A,powerset(B)))))),inference(assume_negation,status(cth),[l71_subset_1])).
% 9.33/9.55 fof(c36,negated_conjecture,(?[A]:(?[B]:((![C]:(~in(C,A)|in(C,B)))&~element(A,powerset(B))))),inference(fof_nnf,status(thm),[c35])).
% 9.33/9.55 fof(c37,negated_conjecture,(?[X14]:(?[X15]:((![X16]:(~in(X16,X14)|in(X16,X15)))&~element(X14,powerset(X15))))),inference(variable_rename,status(thm),[c36])).
% 9.33/9.55 fof(c39,negated_conjecture,(![X16]:((~in(X16,skolem0005)|in(X16,skolem0006))&~element(skolem0005,powerset(skolem0006)))),inference(shift_quantors,status(thm),[fof(c38,negated_conjecture,((![X16]:(~in(X16,skolem0005)|in(X16,skolem0006)))&~element(skolem0005,powerset(skolem0006))),inference(skolemize,status(esa),[c37])).])).
% 9.33/9.55 cnf(c41,negated_conjecture,~element(skolem0005,powerset(skolem0006)),inference(split_conjunct,status(thm),[c39])).
% 9.33/9.55 fof(d2_subset_1,axiom,(![A]:(![B]:(((~empty(A))=>(element(B,A)<=>in(B,A)))&(empty(A)=>(element(B,A)<=>empty(B)))))),input).
% 9.33/9.55 fof(c61,axiom,(![A]:(![B]:((~empty(A)=>(element(B,A)<=>in(B,A)))&(empty(A)=>(element(B,A)<=>empty(B)))))),inference(fof_simplification,status(thm),[d2_subset_1])).
% 9.33/9.55 fof(c62,axiom,(![A]:(![B]:((empty(A)|((~element(B,A)|in(B,A))&(~in(B,A)|element(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(~empty(B)|element(B,A))))))),inference(fof_nnf,status(thm),[c61])).
% 9.33/9.55 fof(c63,axiom,((![A]:(empty(A)|((![B]:(~element(B,A)|in(B,A)))&(![B]:(~in(B,A)|element(B,A))))))&(![A]:(~empty(A)|((![B]:(~element(B,A)|empty(B)))&(![B]:(~empty(B)|element(B,A))))))),inference(shift_quantors,status(thm),[c62])).
% 9.33/9.55 fof(c65,axiom,(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:((empty(X26)|((~element(X27,X26)|in(X27,X26))&(~in(X28,X26)|element(X28,X26))))&(~empty(X29)|((~element(X30,X29)|empty(X30))&(~empty(X31)|element(X31,X29))))))))))),inference(shift_quantors,status(thm),[fof(c64,axiom,((![X26]:(empty(X26)|((![X27]:(~element(X27,X26)|in(X27,X26)))&(![X28]:(~in(X28,X26)|element(X28,X26))))))&(![X29]:(~empty(X29)|((![X30]:(~element(X30,X29)|empty(X30)))&(![X31]:(~empty(X31)|element(X31,X29))))))),inference(variable_rename,status(thm),[c63])).])).
% 9.33/9.55 fof(c66,axiom,(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(((empty(X26)|(~element(X27,X26)|in(X27,X26)))&(empty(X26)|(~in(X28,X26)|element(X28,X26))))&((~empty(X29)|(~element(X30,X29)|empty(X30)))&(~empty(X29)|(~empty(X31)|element(X31,X29))))))))))),inference(distribute,status(thm),[c65])).
% 9.33/9.55 cnf(c68,axiom,empty(X126)|~in(X125,X126)|element(X125,X126),inference(split_conjunct,status(thm),[c66])).
% 9.33/9.55 cnf(reflexivity,axiom,X41=X41,eq_axiom).
% 9.33/9.55 fof(d1_zfmisc_1,axiom,(![A]:(![B]:(B=powerset(A)<=>(![C]:(in(C,B)<=>subset(C,A)))))),input).
% 9.33/9.55 fof(c71,axiom,(![A]:(![B]:((B!=powerset(A)|(![C]:((~in(C,B)|subset(C,A))&(~subset(C,A)|in(C,B)))))&((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(fof_nnf,status(thm),[d1_zfmisc_1])).
% 9.33/9.55 fof(c72,axiom,((![A]:(![B]:(B!=powerset(A)|((![C]:(~in(C,B)|subset(C,A)))&(![C]:(~subset(C,A)|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(shift_quantors,status(thm),[c71])).
% 9.33/9.55 fof(c73,axiom,((![X32]:(![X33]:(X33!=powerset(X32)|((![X34]:(~in(X34,X33)|subset(X34,X32)))&(![X35]:(~subset(X35,X32)|in(X35,X33)))))))&(![X36]:(![X37]:((?[X38]:((~in(X38,X37)|~subset(X38,X36))&(in(X38,X37)|subset(X38,X36))))|X37=powerset(X36))))),inference(variable_rename,status(thm),[c72])).
% 9.33/9.55 fof(c75,axiom,(![X32]:(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:((X33!=powerset(X32)|((~in(X34,X33)|subset(X34,X32))&(~subset(X35,X32)|in(X35,X33))))&(((~in(skolem0009(X36,X37),X37)|~subset(skolem0009(X36,X37),X36))&(in(skolem0009(X36,X37),X37)|subset(skolem0009(X36,X37),X36)))|X37=powerset(X36))))))))),inference(shift_quantors,status(thm),[fof(c74,axiom,((![X32]:(![X33]:(X33!=powerset(X32)|((![X34]:(~in(X34,X33)|subset(X34,X32)))&(![X35]:(~subset(X35,X32)|in(X35,X33)))))))&(![X36]:(![X37]:(((~in(skolem0009(X36,X37),X37)|~subset(skolem0009(X36,X37),X36))&(in(skolem0009(X36,X37),X37)|subset(skolem0009(X36,X37),X36)))|X37=powerset(X36))))),inference(skolemize,status(esa),[c73])).])).
% 9.33/9.55 fof(c76,axiom,(![X32]:(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(((X33!=powerset(X32)|(~in(X34,X33)|subset(X34,X32)))&(X33!=powerset(X32)|(~subset(X35,X32)|in(X35,X33))))&(((~in(skolem0009(X36,X37),X37)|~subset(skolem0009(X36,X37),X36))|X37=powerset(X36))&((in(skolem0009(X36,X37),X37)|subset(skolem0009(X36,X37),X36))|X37=powerset(X36)))))))))),inference(distribute,status(thm),[c75])).
% 9.33/9.55 cnf(c78,axiom,X139!=powerset(X137)|~subset(X138,X137)|in(X138,X139),inference(split_conjunct,status(thm),[c76])).
% 9.33/9.55 cnf(c270,plain,~subset(X285,X284)|in(X285,powerset(X284)),inference(resolution,status(thm),[c78, reflexivity])).
% 9.33/9.55 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 9.33/9.55 fof(c52,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 9.33/9.55 fof(c53,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c52])).
% 9.33/9.55 fof(c54,axiom,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~in(X22,X20)|in(X22,X21))))))&(![X23]:(![X24]:((?[X25]:(in(X25,X23)&~in(X25,X24)))|subset(X23,X24))))),inference(variable_rename,status(thm),[c53])).
% 9.33/9.55 fof(c56,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~in(X22,X20)|in(X22,X21)))&((in(skolem0008(X23,X24),X23)&~in(skolem0008(X23,X24),X24))|subset(X23,X24)))))))),inference(shift_quantors,status(thm),[fof(c55,axiom,((![X20]:(![X21]:(~subset(X20,X21)|(![X22]:(~in(X22,X20)|in(X22,X21))))))&(![X23]:(![X24]:((in(skolem0008(X23,X24),X23)&~in(skolem0008(X23,X24),X24))|subset(X23,X24))))),inference(skolemize,status(esa),[c54])).])).
% 9.33/9.55 fof(c57,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:((~subset(X20,X21)|(~in(X22,X20)|in(X22,X21)))&((in(skolem0008(X23,X24),X23)|subset(X23,X24))&(~in(skolem0008(X23,X24),X24)|subset(X23,X24))))))))),inference(distribute,status(thm),[c56])).
% 9.33/9.55 cnf(c60,axiom,~in(skolem0008(X116,X115),X115)|subset(X116,X115),inference(split_conjunct,status(thm),[c57])).
% 9.33/9.55 cnf(c40,negated_conjecture,~in(X91,skolem0005)|in(X91,skolem0006),inference(split_conjunct,status(thm),[c39])).
% 9.33/9.55 cnf(c59,axiom,in(skolem0008(X110,X109),X110)|subset(X110,X109),inference(split_conjunct,status(thm),[c57])).
% 9.33/9.55 cnf(c150,plain,subset(skolem0005,X296)|in(skolem0008(skolem0005,X296),skolem0006),inference(resolution,status(thm),[c59, c40])).
% 9.33/9.55 cnf(c868,plain,subset(skolem0005,skolem0006),inference(resolution,status(thm),[c150, c60])).
% 9.33/9.55 cnf(c872,plain,in(skolem0005,powerset(skolem0006)),inference(resolution,status(thm),[c868, c270])).
% 9.33/9.55 cnf(c927,plain,empty(powerset(skolem0006))|element(skolem0005,powerset(skolem0006)),inference(resolution,status(thm),[c872, c68])).
% 9.33/9.55 cnf(c23448,plain,empty(powerset(skolem0006)),inference(resolution,status(thm),[c927, c41])).
% 9.33/9.55 cnf(c23460,plain,$false,inference(resolution,status(thm),[c23448, c45])).
% 9.33/9.55 # SZS output end CNFRefutation
% 9.33/9.55
% 9.33/9.55 # Initial clauses : 38
% 9.33/9.55 # Processed clauses : 819
% 9.33/9.55 # Factors computed : 13
% 9.33/9.55 # Resolvents computed: 23399
% 9.33/9.55 # Tautologies deleted: 8
% 9.33/9.55 # Forward subsumed : 2030
% 9.33/9.55 # Backward subsumed : 22
% 9.33/9.55 # -------- CPU Time ---------
% 9.33/9.55 # User time : 9.164 s
% 9.33/9.55 # System time : 0.053 s
% 9.33/9.55 # Total time : 9.217 s
%------------------------------------------------------------------------------