TSTP Solution File: SET899+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 04:41:10 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 23:46:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.53 # Version: 1.3
% 0.21/0.53 # SZS status Theorem
% 0.21/0.53 # SZS output start CNFRefutation
% 0.21/0.53 fof(t40_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(subset(A,B)=>(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),input).
% 0.21/0.53 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(subset(A,B)=>(in(C,A)|subset(A,set_difference(B,singleton(C))))))))),inference(assume_negation,status(cth),[t40_zfmisc_1])).
% 0.21/0.53 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:(subset(A,B)&(~in(C,A)&~subset(A,set_difference(B,singleton(C)))))))),inference(fof_nnf,status(thm),[c5])).
% 0.21/0.53 fof(c7,negated_conjecture,(?[A]:(?[B]:(subset(A,B)&(?[C]:(~in(C,A)&~subset(A,set_difference(B,singleton(C)))))))),inference(shift_quantors,status(thm),[c6])).
% 0.21/0.53 fof(c8,negated_conjecture,(?[X5]:(?[X6]:(subset(X5,X6)&(?[X7]:(~in(X7,X5)&~subset(X5,set_difference(X6,singleton(X7)))))))),inference(variable_rename,status(thm),[c7])).
% 0.21/0.53 fof(c9,negated_conjecture,(subset(skolem0001,skolem0002)&(~in(skolem0003,skolem0001)&~subset(skolem0001,set_difference(skolem0002,singleton(skolem0003))))),inference(skolemize,status(esa),[c8])).
% 0.21/0.53 cnf(c11,negated_conjecture,~in(skolem0003,skolem0001),inference(split_conjunct,status(thm),[c9])).
% 0.21/0.53 cnf(c12,negated_conjecture,~subset(skolem0001,set_difference(skolem0002,singleton(skolem0003))),inference(split_conjunct,status(thm),[c9])).
% 0.21/0.53 cnf(c10,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c9])).
% 0.21/0.53 fof(l3_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(A,B)=>(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),input).
% 0.21/0.53 fof(c0,axiom,(![A]:(![B]:(![C]:(~subset(A,B)|(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),inference(fof_nnf,status(thm),[l3_zfmisc_1])).
% 0.21/0.53 fof(c1,axiom,(![A]:(![B]:(~subset(A,B)|(![C]:(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),inference(shift_quantors,status(thm),[c0])).
% 0.21/0.53 fof(c3,axiom,(![X2]:(![X3]:(![X4]:(~subset(X2,X3)|(in(X4,X2)|subset(X2,set_difference(X3,singleton(X4)))))))),inference(shift_quantors,status(thm),[fof(c2,axiom,(![X2]:(![X3]:(~subset(X2,X3)|(![X4]:(in(X4,X2)|subset(X2,set_difference(X3,singleton(X4)))))))),inference(variable_rename,status(thm),[c1])).])).
% 0.21/0.53 cnf(c4,axiom,~subset(X16,X15)|in(X14,X16)|subset(X16,set_difference(X15,singleton(X14))),inference(split_conjunct,status(thm),[c3])).
% 0.21/0.53 cnf(c28,plain,in(X23,skolem0001)|subset(skolem0001,set_difference(skolem0002,singleton(X23))),inference(resolution,status(thm),[c4, c10])).
% 0.21/0.53 cnf(c38,plain,in(skolem0003,skolem0001),inference(resolution,status(thm),[c28, c12])).
% 0.21/0.53 cnf(c40,plain,$false,inference(resolution,status(thm),[c38, c11])).
% 0.21/0.53 # SZS output end CNFRefutation
% 0.21/0.53
% 0.21/0.53 # Initial clauses : 8
% 0.21/0.53 # Processed clauses : 13
% 0.21/0.53 # Factors computed : 0
% 0.21/0.53 # Resolvents computed: 15
% 0.21/0.53 # Tautologies deleted: 0
% 0.21/0.53 # Forward subsumed : 0
% 0.21/0.53 # Backward subsumed : 0
% 0.21/0.53 # -------- CPU Time ---------
% 0.21/0.53 # User time : 0.169 s
% 0.21/0.53 # System time : 0.016 s
% 0.21/0.53 # Total time : 0.185 s
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