TSTP Solution File: SEU140+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 13:35:52 EDT 2022
% Result : Theorem 19.60s 19.86s
% Output : Refutation 19.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.32 % Computer : n013.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 600
% 0.16/0.32 % DateTime : Mon Jun 20 09:47:44 EDT 2022
% 0.16/0.32 % CPUTime :
% 19.60/19.86 # Version: 1.3
% 19.60/19.86 # SZS status Theorem
% 19.60/19.86 # SZS output start CNFRefutation
% 19.60/19.86 fof(t63_xboole_1,conjecture,(![A]:(![B]:(![C]:((subset(A,B)&disjoint(B,C))=>disjoint(A,C))))),input).
% 19.60/19.86 fof(c22,negated_conjecture,(~(![A]:(![B]:(![C]:((subset(A,B)&disjoint(B,C))=>disjoint(A,C)))))),inference(assume_negation,status(cth),[t63_xboole_1])).
% 19.60/19.86 fof(c23,negated_conjecture,(?[A]:(?[B]:(?[C]:((subset(A,B)&disjoint(B,C))&~disjoint(A,C))))),inference(fof_nnf,status(thm),[c22])).
% 19.60/19.86 fof(c24,negated_conjecture,(?[X12]:(?[X13]:(?[X14]:((subset(X12,X13)&disjoint(X13,X14))&~disjoint(X12,X14))))),inference(variable_rename,status(thm),[c23])).
% 19.60/19.86 fof(c25,negated_conjecture,((subset(skolem0001,skolem0002)&disjoint(skolem0002,skolem0003))&~disjoint(skolem0001,skolem0003)),inference(skolemize,status(esa),[c24])).
% 19.60/19.86 cnf(c28,negated_conjecture,~disjoint(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c25])).
% 19.60/19.86 fof(t3_xboole_0,plain,(![A]:(![B]:((~((~disjoint(A,B))&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B)))))),input).
% 19.60/19.86 fof(c52,plain,(![A]:(![B]:((~(~disjoint(A,B)&(![C]:(~(in(C,A)&in(C,B))))))&(~((?[C]:(in(C,A)&in(C,B)))&disjoint(A,B)))))),inference(fof_simplification,status(thm),[t3_xboole_0])).
% 19.60/19.86 fof(c53,plain,(![A]:(![B]:((disjoint(A,B)|(?[C]:(in(C,A)&in(C,B))))&((![C]:(~in(C,A)|~in(C,B)))|~disjoint(A,B))))),inference(fof_nnf,status(thm),[c52])).
% 19.60/19.86 fof(c54,plain,((![A]:(![B]:(disjoint(A,B)|(?[C]:(in(C,A)&in(C,B))))))&(![A]:(![B]:((![C]:(~in(C,A)|~in(C,B)))|~disjoint(A,B))))),inference(shift_quantors,status(thm),[c53])).
% 19.60/19.86 fof(c55,plain,((![X31]:(![X32]:(disjoint(X31,X32)|(?[X33]:(in(X33,X31)&in(X33,X32))))))&(![X34]:(![X35]:((![X36]:(~in(X36,X34)|~in(X36,X35)))|~disjoint(X34,X35))))),inference(variable_rename,status(thm),[c54])).
% 19.60/19.86 fof(c57,plain,(![X31]:(![X32]:(![X34]:(![X35]:(![X36]:((disjoint(X31,X32)|(in(skolem0005(X31,X32),X31)&in(skolem0005(X31,X32),X32)))&((~in(X36,X34)|~in(X36,X35))|~disjoint(X34,X35)))))))),inference(shift_quantors,status(thm),[fof(c56,plain,((![X31]:(![X32]:(disjoint(X31,X32)|(in(skolem0005(X31,X32),X31)&in(skolem0005(X31,X32),X32)))))&(![X34]:(![X35]:((![X36]:(~in(X36,X34)|~in(X36,X35)))|~disjoint(X34,X35))))),inference(skolemize,status(esa),[c55])).])).
% 19.60/19.86 fof(c58,plain,(![X31]:(![X32]:(![X34]:(![X35]:(![X36]:(((disjoint(X31,X32)|in(skolem0005(X31,X32),X31))&(disjoint(X31,X32)|in(skolem0005(X31,X32),X32)))&((~in(X36,X34)|~in(X36,X35))|~disjoint(X34,X35)))))))),inference(distribute,status(thm),[c57])).
% 19.60/19.86 cnf(c60,plain,disjoint(X287,X286)|in(skolem0005(X287,X286),X286),inference(split_conjunct,status(thm),[c58])).
% 19.60/19.86 cnf(c466,plain,in(skolem0005(skolem0001,skolem0003),skolem0003),inference(resolution,status(thm),[c60, c28])).
% 19.60/19.86 cnf(c27,negated_conjecture,disjoint(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c25])).
% 19.60/19.86 cnf(c61,plain,~in(X294,X296)|~in(X294,X295)|~disjoint(X296,X295),inference(split_conjunct,status(thm),[c58])).
% 19.60/19.86 cnf(c484,plain,~in(X1138,skolem0002)|~in(X1138,skolem0003),inference(resolution,status(thm),[c61, c27])).
% 19.60/19.86 cnf(c4267,plain,~in(skolem0005(skolem0001,skolem0003),skolem0002),inference(resolution,status(thm),[c484, c466])).
% 19.60/19.86 cnf(c59,plain,disjoint(X281,X280)|in(skolem0005(X281,X280),X281),inference(split_conjunct,status(thm),[c58])).
% 19.60/19.86 cnf(c450,plain,in(skolem0005(skolem0001,skolem0003),skolem0001),inference(resolution,status(thm),[c59, c28])).
% 19.60/19.86 fof(d2_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_union2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)|in(D,B)))))))),input).
% 19.60/19.86 fof(c203,axiom,(![A]:(![B]:(![C]:((C!=set_union2(A,B)|(![D]:((~in(D,C)|(in(D,A)|in(D,B)))&((~in(D,A)&~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(fof_nnf,status(thm),[d2_xboole_0])).
% 19.60/19.86 fof(c204,axiom,((![A]:(![B]:(![C]:(C!=set_union2(A,B)|((![D]:(~in(D,C)|(in(D,A)|in(D,B))))&(![D]:((~in(D,A)&~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(shift_quantors,status(thm),[c203])).
% 19.60/19.86 fof(c205,axiom,((![X118]:(![X119]:(![X120]:(X120!=set_union2(X118,X119)|((![X121]:(~in(X121,X120)|(in(X121,X118)|in(X121,X119))))&(![X122]:((~in(X122,X118)&~in(X122,X119))|in(X122,X120))))))))&(![X123]:(![X124]:(![X125]:((?[X126]:((~in(X126,X125)|(~in(X126,X123)&~in(X126,X124)))&(in(X126,X125)|(in(X126,X123)|in(X126,X124)))))|X125=set_union2(X123,X124)))))),inference(variable_rename,status(thm),[c204])).
% 19.60/19.86 fof(c207,axiom,(![X118]:(![X119]:(![X120]:(![X121]:(![X122]:(![X123]:(![X124]:(![X125]:((X120!=set_union2(X118,X119)|((~in(X121,X120)|(in(X121,X118)|in(X121,X119)))&((~in(X122,X118)&~in(X122,X119))|in(X122,X120))))&(((~in(skolem0012(X123,X124,X125),X125)|(~in(skolem0012(X123,X124,X125),X123)&~in(skolem0012(X123,X124,X125),X124)))&(in(skolem0012(X123,X124,X125),X125)|(in(skolem0012(X123,X124,X125),X123)|in(skolem0012(X123,X124,X125),X124))))|X125=set_union2(X123,X124))))))))))),inference(shift_quantors,status(thm),[fof(c206,axiom,((![X118]:(![X119]:(![X120]:(X120!=set_union2(X118,X119)|((![X121]:(~in(X121,X120)|(in(X121,X118)|in(X121,X119))))&(![X122]:((~in(X122,X118)&~in(X122,X119))|in(X122,X120))))))))&(![X123]:(![X124]:(![X125]:(((~in(skolem0012(X123,X124,X125),X125)|(~in(skolem0012(X123,X124,X125),X123)&~in(skolem0012(X123,X124,X125),X124)))&(in(skolem0012(X123,X124,X125),X125)|(in(skolem0012(X123,X124,X125),X123)|in(skolem0012(X123,X124,X125),X124))))|X125=set_union2(X123,X124)))))),inference(skolemize,status(esa),[c205])).])).
% 19.60/19.86 fof(c208,axiom,(![X118]:(![X119]:(![X120]:(![X121]:(![X122]:(![X123]:(![X124]:(![X125]:(((X120!=set_union2(X118,X119)|(~in(X121,X120)|(in(X121,X118)|in(X121,X119))))&((X120!=set_union2(X118,X119)|(~in(X122,X118)|in(X122,X120)))&(X120!=set_union2(X118,X119)|(~in(X122,X119)|in(X122,X120)))))&((((~in(skolem0012(X123,X124,X125),X125)|~in(skolem0012(X123,X124,X125),X123))|X125=set_union2(X123,X124))&((~in(skolem0012(X123,X124,X125),X125)|~in(skolem0012(X123,X124,X125),X124))|X125=set_union2(X123,X124)))&((in(skolem0012(X123,X124,X125),X125)|(in(skolem0012(X123,X124,X125),X123)|in(skolem0012(X123,X124,X125),X124)))|X125=set_union2(X123,X124)))))))))))),inference(distribute,status(thm),[c207])).
% 19.60/19.86 cnf(c210,axiom,X596!=set_union2(X597,X594)|~in(X595,X597)|in(X595,X596),inference(split_conjunct,status(thm),[c208])).
% 19.60/19.86 cnf(c26,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c25])).
% 19.60/19.86 fof(t45_xboole_1,plain,(![A]:(![B]:(subset(A,B)=>B=set_union2(A,set_difference(B,A))))),input).
% 19.60/19.86 fof(c44,plain,(![A]:(![B]:(~subset(A,B)|B=set_union2(A,set_difference(B,A))))),inference(fof_nnf,status(thm),[t45_xboole_1])).
% 19.60/19.86 fof(c45,plain,(![X26]:(![X27]:(~subset(X26,X27)|X27=set_union2(X26,set_difference(X27,X26))))),inference(variable_rename,status(thm),[c44])).
% 19.60/19.86 cnf(c46,plain,~subset(X263,X264)|X264=set_union2(X263,set_difference(X264,X263)),inference(split_conjunct,status(thm),[c45])).
% 19.60/19.86 cnf(c407,plain,skolem0002=set_union2(skolem0001,set_difference(skolem0002,skolem0001)),inference(resolution,status(thm),[c46, c26])).
% 19.60/19.86 cnf(c7106,plain,~in(X3145,skolem0001)|in(X3145,skolem0002),inference(resolution,status(thm),[c407, c210])).
% 19.60/19.86 cnf(c21943,plain,in(skolem0005(skolem0001,skolem0003),skolem0002),inference(resolution,status(thm),[c7106, c450])).
% 19.60/19.86 cnf(c39948,plain,$false,inference(resolution,status(thm),[c21943, c4267])).
% 19.60/19.86 # SZS output end CNFRefutation
% 19.60/19.86
% 19.60/19.86 # Initial clauses : 98
% 19.60/19.86 # Processed clauses : 1023
% 19.60/19.86 # Factors computed : 32
% 19.60/19.86 # Resolvents computed: 39694
% 19.60/19.86 # Tautologies deleted: 42
% 19.60/19.86 # Forward subsumed : 2393
% 19.60/19.86 # Backward subsumed : 45
% 19.60/19.86 # -------- CPU Time ---------
% 19.60/19.86 # User time : 19.432 s
% 19.60/19.86 # System time : 0.081 s
% 19.60/19.86 # Total time : 19.513 s
%------------------------------------------------------------------------------