TSTP Solution File: SET929+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET929+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 04:41:25 EDT 2022
% Result : Theorem 0.89s 1.08s
% Output : Refutation 0.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET929+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.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 : Sat Jul 9 22:08:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.89/1.08 # Version: 1.3
% 0.89/1.08 # SZS status Theorem
% 0.89/1.08 # SZS output start CNFRefutation
% 0.89/1.08 fof(t38_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(unordered_pair(A,B),C)<=>(in(A,C)&in(B,C)))))),input).
% 0.89/1.08 fof(c13,axiom,(![A]:(![B]:(![C]:((~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C)))&((~in(A,C)|~in(B,C))|subset(unordered_pair(A,B),C)))))),inference(fof_nnf,status(thm),[t38_zfmisc_1])).
% 0.89/1.08 fof(c14,axiom,((![A]:(![B]:(![C]:(~subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C))))))&(![A]:(![B]:(![C]:((~in(A,C)|~in(B,C))|subset(unordered_pair(A,B),C)))))),inference(shift_quantors,status(thm),[c13])).
% 0.89/1.08 fof(c16,axiom,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:((~subset(unordered_pair(X5,X6),X7)|(in(X5,X7)&in(X6,X7)))&((~in(X8,X10)|~in(X9,X10))|subset(unordered_pair(X8,X9),X10))))))))),inference(shift_quantors,status(thm),[fof(c15,axiom,((![X5]:(![X6]:(![X7]:(~subset(unordered_pair(X5,X6),X7)|(in(X5,X7)&in(X6,X7))))))&(![X8]:(![X9]:(![X10]:((~in(X8,X10)|~in(X9,X10))|subset(unordered_pair(X8,X9),X10)))))),inference(variable_rename,status(thm),[c14])).])).
% 0.89/1.08 fof(c17,axiom,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(((~subset(unordered_pair(X5,X6),X7)|in(X5,X7))&(~subset(unordered_pair(X5,X6),X7)|in(X6,X7)))&((~in(X8,X10)|~in(X9,X10))|subset(unordered_pair(X8,X9),X10))))))))),inference(distribute,status(thm),[c16])).
% 0.89/1.08 cnf(c18,axiom,~subset(unordered_pair(X43,X42),X41)|in(X43,X41),inference(split_conjunct,status(thm),[c17])).
% 0.89/1.08 fof(t37_xboole_1,axiom,(![A]:(![B]:(set_difference(A,B)=empty_set<=>subset(A,B)))),input).
% 0.89/1.08 fof(c21,axiom,(![A]:(![B]:((set_difference(A,B)!=empty_set|subset(A,B))&(~subset(A,B)|set_difference(A,B)=empty_set)))),inference(fof_nnf,status(thm),[t37_xboole_1])).
% 0.89/1.08 fof(c22,axiom,((![A]:(![B]:(set_difference(A,B)!=empty_set|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|set_difference(A,B)=empty_set)))),inference(shift_quantors,status(thm),[c21])).
% 0.89/1.08 fof(c24,axiom,(![X11]:(![X12]:(![X13]:(![X14]:((set_difference(X11,X12)!=empty_set|subset(X11,X12))&(~subset(X13,X14)|set_difference(X13,X14)=empty_set)))))),inference(shift_quantors,status(thm),[fof(c23,axiom,((![X11]:(![X12]:(set_difference(X11,X12)!=empty_set|subset(X11,X12))))&(![X13]:(![X14]:(~subset(X13,X14)|set_difference(X13,X14)=empty_set)))),inference(variable_rename,status(thm),[c22])).])).
% 0.89/1.08 cnf(c25,axiom,set_difference(X60,X59)!=empty_set|subset(X60,X59),inference(split_conjunct,status(thm),[c24])).
% 0.89/1.08 fof(t73_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=empty_set<=>(in(A,C)&in(B,C)))))),input).
% 0.89/1.08 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=empty_set<=>(in(A,C)&in(B,C))))))),inference(assume_negation,status(cth),[t73_zfmisc_1])).
% 0.89/1.08 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:((set_difference(unordered_pair(A,B),C)!=empty_set|(~in(A,C)|~in(B,C)))&(set_difference(unordered_pair(A,B),C)=empty_set|(in(A,C)&in(B,C))))))),inference(fof_nnf,status(thm),[c5])).
% 0.89/1.08 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((set_difference(unordered_pair(X2,X3),X4)!=empty_set|(~in(X2,X4)|~in(X3,X4)))&(set_difference(unordered_pair(X2,X3),X4)=empty_set|(in(X2,X4)&in(X3,X4))))))),inference(variable_rename,status(thm),[c6])).
% 0.89/1.08 fof(c8,negated_conjecture,((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=empty_set|(~in(skolem0001,skolem0003)|~in(skolem0002,skolem0003)))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set|(in(skolem0001,skolem0003)&in(skolem0002,skolem0003)))),inference(skolemize,status(esa),[c7])).
% 0.89/1.08 fof(c9,negated_conjecture,((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=empty_set|(~in(skolem0001,skolem0003)|~in(skolem0002,skolem0003)))&((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set|in(skolem0001,skolem0003))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set|in(skolem0002,skolem0003)))),inference(distribute,status(thm),[c8])).
% 0.89/1.08 cnf(c11,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set|in(skolem0001,skolem0003),inference(split_conjunct,status(thm),[c9])).
% 0.89/1.08 cnf(c103,plain,in(skolem0001,skolem0003)|subset(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,status(thm),[c11, c25])).
% 0.89/1.08 cnf(c767,plain,in(skolem0001,skolem0003),inference(resolution,status(thm),[c103, c18])).
% 0.89/1.08 cnf(c19,axiom,~subset(unordered_pair(X54,X53),X52)|in(X53,X52),inference(split_conjunct,status(thm),[c17])).
% 0.89/1.08 cnf(c12,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set|in(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c9])).
% 0.89/1.08 cnf(c123,plain,in(skolem0002,skolem0003)|subset(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,status(thm),[c12, c25])).
% 0.89/1.08 cnf(c1112,plain,in(skolem0002,skolem0003),inference(resolution,status(thm),[c123, c19])).
% 0.89/1.08 cnf(c10,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=empty_set|~in(skolem0001,skolem0003)|~in(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c9])).
% 0.89/1.08 cnf(c26,axiom,~subset(X62,X61)|set_difference(X62,X61)=empty_set,inference(split_conjunct,status(thm),[c24])).
% 0.89/1.08 cnf(c20,axiom,~in(X119,X118)|~in(X117,X118)|subset(unordered_pair(X119,X117),X118),inference(split_conjunct,status(thm),[c17])).
% 0.89/1.08 cnf(c1115,plain,~in(X626,skolem0003)|subset(unordered_pair(X626,skolem0002),skolem0003),inference(resolution,status(thm),[c1112, c20])).
% 0.89/1.08 cnf(c1295,plain,subset(unordered_pair(skolem0001,skolem0002),skolem0003),inference(resolution,status(thm),[c1115, c767])).
% 0.89/1.08 cnf(c1303,plain,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=empty_set,inference(resolution,status(thm),[c1295, c26])).
% 0.89/1.08 cnf(c1622,plain,~in(skolem0001,skolem0003)|~in(skolem0002,skolem0003),inference(resolution,status(thm),[c1303, c10])).
% 0.89/1.08 cnf(c1647,plain,~in(skolem0001,skolem0003),inference(resolution,status(thm),[c1622, c1112])).
% 0.89/1.08 cnf(c1678,plain,$false,inference(resolution,status(thm),[c1647, c767])).
% 0.89/1.08 # SZS output end CNFRefutation
% 0.89/1.08
% 0.89/1.08 # Initial clauses : 22
% 0.89/1.08 # Processed clauses : 190
% 0.89/1.08 # Factors computed : 0
% 0.89/1.08 # Resolvents computed: 1635
% 0.89/1.08 # Tautologies deleted: 4
% 0.89/1.08 # Forward subsumed : 227
% 0.89/1.08 # Backward subsumed : 22
% 0.89/1.08 # -------- CPU Time ---------
% 0.89/1.08 # User time : 0.732 s
% 0.89/1.08 # System time : 0.012 s
% 0.89/1.08 # Total time : 0.744 s
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