TSTP Solution File: SET047+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 04:34:50 EDT 2022
% Result : Theorem 0.54s 0.71s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 18:08:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.54/0.71 # Version: 1.3
% 0.54/0.71 # SZS status Theorem
% 0.54/0.71 # SZS output start CNFRefutation
% 0.54/0.71 fof(pel43,conjecture,(![X]:(![Y]:(set_equal(X,Y)<=>set_equal(Y,X)))),input).
% 0.54/0.71 fof(c0,negated_conjecture,(~(![X]:(![Y]:(set_equal(X,Y)<=>set_equal(Y,X))))),inference(assume_negation,status(cth),[pel43])).
% 0.54/0.71 fof(c1,negated_conjecture,(?[X]:(?[Y]:((~set_equal(X,Y)|~set_equal(Y,X))&(set_equal(X,Y)|set_equal(Y,X))))),inference(fof_nnf,status(thm),[c0])).
% 0.54/0.71 fof(c2,negated_conjecture,(?[X2]:(?[X3]:((~set_equal(X2,X3)|~set_equal(X3,X2))&(set_equal(X2,X3)|set_equal(X3,X2))))),inference(variable_rename,status(thm),[c1])).
% 0.54/0.71 fof(c3,negated_conjecture,((~set_equal(skolem0001,skolem0002)|~set_equal(skolem0002,skolem0001))&(set_equal(skolem0001,skolem0002)|set_equal(skolem0002,skolem0001))),inference(skolemize,status(esa),[c2])).
% 0.54/0.71 cnf(c4,negated_conjecture,~set_equal(skolem0001,skolem0002)|~set_equal(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c3])).
% 0.54/0.71 fof(pel43_1,axiom,(![X]:(![Y]:(set_equal(X,Y)<=>(![Z]:(element(Z,X)<=>element(Z,Y)))))),input).
% 0.54/0.71 fof(c6,axiom,(![X]:(![Y]:((~set_equal(X,Y)|(![Z]:((~element(Z,X)|element(Z,Y))&(~element(Z,Y)|element(Z,X)))))&((?[Z]:((~element(Z,X)|~element(Z,Y))&(element(Z,X)|element(Z,Y))))|set_equal(X,Y))))),inference(fof_nnf,status(thm),[pel43_1])).
% 0.54/0.71 fof(c7,axiom,((![X]:(![Y]:(~set_equal(X,Y)|((![Z]:(~element(Z,X)|element(Z,Y)))&(![Z]:(~element(Z,Y)|element(Z,X)))))))&(![X]:(![Y]:((?[Z]:((~element(Z,X)|~element(Z,Y))&(element(Z,X)|element(Z,Y))))|set_equal(X,Y))))),inference(shift_quantors,status(thm),[c6])).
% 0.54/0.71 fof(c8,axiom,((![X4]:(![X5]:(~set_equal(X4,X5)|((![X6]:(~element(X6,X4)|element(X6,X5)))&(![X7]:(~element(X7,X5)|element(X7,X4)))))))&(![X8]:(![X9]:((?[X10]:((~element(X10,X8)|~element(X10,X9))&(element(X10,X8)|element(X10,X9))))|set_equal(X8,X9))))),inference(variable_rename,status(thm),[c7])).
% 0.54/0.71 fof(c10,axiom,(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:((~set_equal(X4,X5)|((~element(X6,X4)|element(X6,X5))&(~element(X7,X5)|element(X7,X4))))&(((~element(skolem0003(X8,X9),X8)|~element(skolem0003(X8,X9),X9))&(element(skolem0003(X8,X9),X8)|element(skolem0003(X8,X9),X9)))|set_equal(X8,X9))))))))),inference(shift_quantors,status(thm),[fof(c9,axiom,((![X4]:(![X5]:(~set_equal(X4,X5)|((![X6]:(~element(X6,X4)|element(X6,X5)))&(![X7]:(~element(X7,X5)|element(X7,X4)))))))&(![X8]:(![X9]:(((~element(skolem0003(X8,X9),X8)|~element(skolem0003(X8,X9),X9))&(element(skolem0003(X8,X9),X8)|element(skolem0003(X8,X9),X9)))|set_equal(X8,X9))))),inference(skolemize,status(esa),[c8])).])).
% 0.54/0.71 fof(c11,axiom,(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(((~set_equal(X4,X5)|(~element(X6,X4)|element(X6,X5)))&(~set_equal(X4,X5)|(~element(X7,X5)|element(X7,X4))))&(((~element(skolem0003(X8,X9),X8)|~element(skolem0003(X8,X9),X9))|set_equal(X8,X9))&((element(skolem0003(X8,X9),X8)|element(skolem0003(X8,X9),X9))|set_equal(X8,X9)))))))))),inference(distribute,status(thm),[c10])).
% 0.54/0.71 cnf(c14,axiom,~element(skolem0003(X17,X18),X17)|~element(skolem0003(X17,X18),X18)|set_equal(X17,X18),inference(split_conjunct,status(thm),[c11])).
% 0.54/0.71 cnf(c5,negated_conjecture,set_equal(skolem0001,skolem0002)|set_equal(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c3])).
% 0.54/0.71 cnf(c13,axiom,~set_equal(X15,X14)|~element(X16,X14)|element(X16,X15),inference(split_conjunct,status(thm),[c11])).
% 0.54/0.71 cnf(c15,axiom,element(skolem0003(X19,X20),X19)|element(skolem0003(X19,X20),X20)|set_equal(X19,X20),inference(split_conjunct,status(thm),[c11])).
% 0.54/0.71 cnf(c20,plain,element(skolem0003(X36,X38),X38)|set_equal(X36,X38)|~set_equal(X37,X36)|element(skolem0003(X36,X38),X37),inference(resolution,status(thm),[c15, c13])).
% 0.54/0.71 cnf(c35,plain,element(skolem0003(skolem0002,X66),X66)|set_equal(skolem0002,X66)|element(skolem0003(skolem0002,X66),skolem0001)|set_equal(skolem0002,skolem0001),inference(resolution,status(thm),[c20, c5])).
% 0.54/0.71 cnf(c107,plain,element(skolem0003(skolem0002,skolem0001),skolem0001)|set_equal(skolem0002,skolem0001),inference(factor,status(thm),[c35])).
% 0.54/0.71 cnf(c126,plain,set_equal(skolem0002,skolem0001)|~element(skolem0003(skolem0002,skolem0001),skolem0002),inference(resolution,status(thm),[c107, c14])).
% 0.54/0.71 cnf(c12,axiom,~set_equal(X12,X11)|~element(X13,X12)|element(X13,X11),inference(split_conjunct,status(thm),[c11])).
% 0.54/0.71 cnf(c125,plain,set_equal(skolem0002,skolem0001)|~set_equal(skolem0001,X75)|element(skolem0003(skolem0002,skolem0001),X75),inference(resolution,status(thm),[c107, c12])).
% 0.54/0.71 cnf(c202,plain,set_equal(skolem0002,skolem0001)|element(skolem0003(skolem0002,skolem0001),skolem0002),inference(resolution,status(thm),[c125, c5])).
% 0.54/0.71 cnf(c233,plain,set_equal(skolem0002,skolem0001),inference(resolution,status(thm),[c202, c126])).
% 0.54/0.71 cnf(c240,plain,~set_equal(skolem0001,skolem0002),inference(resolution,status(thm),[c233, c4])).
% 0.54/0.71 cnf(c38,plain,element(skolem0003(skolem0001,X74),X74)|set_equal(skolem0001,X74)|element(skolem0003(skolem0001,X74),skolem0002)|set_equal(skolem0001,skolem0002),inference(resolution,status(thm),[c20, c5])).
% 0.54/0.71 cnf(c167,plain,element(skolem0003(skolem0001,skolem0002),skolem0002)|set_equal(skolem0001,skolem0002),inference(factor,status(thm),[c38])).
% 0.54/0.71 cnf(c186,plain,set_equal(skolem0001,skolem0002)|~element(skolem0003(skolem0001,skolem0002),skolem0001),inference(resolution,status(thm),[c167, c14])).
% 0.54/0.71 cnf(c246,plain,element(skolem0003(skolem0001,skolem0002),skolem0002),inference(resolution,status(thm),[c240, c167])).
% 0.54/0.71 cnf(c249,plain,~set_equal(skolem0002,X86)|element(skolem0003(skolem0001,skolem0002),X86),inference(resolution,status(thm),[c246, c12])).
% 0.54/0.71 cnf(c314,plain,element(skolem0003(skolem0001,skolem0002),skolem0001),inference(resolution,status(thm),[c249, c233])).
% 0.54/0.71 cnf(c317,plain,set_equal(skolem0001,skolem0002),inference(resolution,status(thm),[c314, c186])).
% 0.54/0.71 cnf(c323,plain,$false,inference(resolution,status(thm),[c317, c240])).
% 0.54/0.71 # SZS output end CNFRefutation
% 0.54/0.71
% 0.54/0.71 # Initial clauses : 6
% 0.54/0.71 # Processed clauses : 37
% 0.54/0.71 # Factors computed : 29
% 0.54/0.71 # Resolvents computed: 279
% 0.54/0.71 # Tautologies deleted: 3
% 0.54/0.71 # Forward subsumed : 30
% 0.54/0.71 # Backward subsumed : 18
% 0.54/0.71 # -------- CPU Time ---------
% 0.54/0.71 # User time : 0.342 s
% 0.54/0.71 # System time : 0.015 s
% 0.54/0.71 # Total time : 0.357 s
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