TSTP Solution File: SET045+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 04:34:48 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n029.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 Jul 10 04:10:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.51 # Version: 1.3
% 0.18/0.51 # SZS status Theorem
% 0.18/0.51 # SZS output start CNFRefutation
% 0.18/0.51 fof(pel41_1,axiom,(![Z]:(?[Y]:(![X]:(element(X,Y)<=>(element(X,Z)&(~element(X,X))))))),input).
% 0.18/0.51 fof(c5,axiom,(![Z]:(?[Y]:(![X]:(element(X,Y)<=>(element(X,Z)&~element(X,X)))))),inference(fof_simplification,status(thm),[pel41_1])).
% 0.18/0.51 fof(c6,axiom,(![Z]:(?[Y]:(![X]:((~element(X,Y)|(element(X,Z)&~element(X,X)))&((~element(X,Z)|element(X,X))|element(X,Y)))))),inference(fof_nnf,status(thm),[c5])).
% 0.18/0.51 fof(c7,axiom,(![Z]:(?[Y]:((![X]:(~element(X,Y)|(element(X,Z)&~element(X,X))))&(![X]:((~element(X,Z)|element(X,X))|element(X,Y)))))),inference(shift_quantors,status(thm),[c6])).
% 0.18/0.51 fof(c8,axiom,(![X4]:(?[X5]:((![X6]:(~element(X6,X5)|(element(X6,X4)&~element(X6,X6))))&(![X7]:((~element(X7,X4)|element(X7,X7))|element(X7,X5)))))),inference(variable_rename,status(thm),[c7])).
% 0.18/0.51 fof(c10,axiom,(![X4]:(![X6]:(![X7]:((~element(X6,skolem0002(X4))|(element(X6,X4)&~element(X6,X6)))&((~element(X7,X4)|element(X7,X7))|element(X7,skolem0002(X4))))))),inference(shift_quantors,status(thm),[fof(c9,axiom,(![X4]:((![X6]:(~element(X6,skolem0002(X4))|(element(X6,X4)&~element(X6,X6))))&(![X7]:((~element(X7,X4)|element(X7,X7))|element(X7,skolem0002(X4)))))),inference(skolemize,status(esa),[c8])).])).
% 0.18/0.51 fof(c11,axiom,(![X4]:(![X6]:(![X7]:(((~element(X6,skolem0002(X4))|element(X6,X4))&(~element(X6,skolem0002(X4))|~element(X6,X6)))&((~element(X7,X4)|element(X7,X7))|element(X7,skolem0002(X4))))))),inference(distribute,status(thm),[c10])).
% 0.18/0.51 cnf(c13,axiom,~element(X11,skolem0002(X12))|~element(X11,X11),inference(split_conjunct,status(thm),[c11])).
% 0.18/0.51 cnf(c15,plain,~element(skolem0002(X13),skolem0002(X13)),inference(factor,status(thm),[c13])).
% 0.18/0.51 fof(pel41,conjecture,(~(?[Z]:(![X]:element(X,Z)))),input).
% 0.18/0.51 fof(c0,negated_conjecture,(~(~(?[Z]:(![X]:element(X,Z))))),inference(assume_negation,status(cth),[pel41])).
% 0.18/0.51 fof(c1,negated_conjecture,(?[Z]:(![X]:element(X,Z))),inference(fof_nnf,status(thm),[c0])).
% 0.18/0.51 fof(c2,negated_conjecture,(?[X2]:(![X3]:element(X3,X2))),inference(variable_rename,status(thm),[c1])).
% 0.18/0.51 fof(c3,negated_conjecture,(![X3]:element(X3,skolem0001)),inference(skolemize,status(esa),[c2])).
% 0.18/0.51 cnf(c4,negated_conjecture,element(X8,skolem0001),inference(split_conjunct,status(thm),[c3])).
% 0.18/0.51 cnf(c14,axiom,~element(X14,X15)|element(X14,X14)|element(X14,skolem0002(X15)),inference(split_conjunct,status(thm),[c11])).
% 0.18/0.51 cnf(c16,plain,element(X16,X16)|element(X16,skolem0002(skolem0001)),inference(resolution,status(thm),[c14, c4])).
% 0.18/0.51 cnf(c18,plain,element(skolem0002(X18),skolem0002(skolem0001)),inference(resolution,status(thm),[c16, c15])).
% 0.18/0.51 cnf(c26,plain,$false,inference(resolution,status(thm),[c18, c15])).
% 0.18/0.51 # SZS output end CNFRefutation
% 0.18/0.51
% 0.18/0.51 # Initial clauses : 4
% 0.18/0.51 # Processed clauses : 7
% 0.18/0.51 # Factors computed : 2
% 0.18/0.51 # Resolvents computed: 13
% 0.18/0.51 # Tautologies deleted: 1
% 0.18/0.51 # Forward subsumed : 0
% 0.18/0.51 # Backward subsumed : 0
% 0.18/0.51 # -------- CPU Time ---------
% 0.18/0.51 # User time : 0.154 s
% 0.18/0.51 # System time : 0.018 s
% 0.18/0.51 # Total time : 0.172 s
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