TSTP Solution File: SET788+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 : 300s
% DateTime : Thu May 9 17:40:05 EDT 2024
% Result : Theorem 0.35s 0.63s
% Output : Refutation 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET788+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Wed May 8 19:33:37 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.35/0.63 % Version: 1.5
% 0.35/0.63 % SZS status Theorem
% 0.35/0.63 % SZS output start CNFRefutation
% 0.35/0.63 fof(prove_this,conjecture,((![X]:(![Y]:(equalish(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![X]:(![Y]:(equalish(X,Y)<=>equalish(Y,X))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_this)).
% 0.35/0.63 fof(c0,negated_conjecture,(~((![X]:(![Y]:(equalish(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![X]:(![Y]:(equalish(X,Y)<=>equalish(Y,X)))))),inference(assume_negation,[status(cth)],[prove_this])).
% 0.35/0.63 fof(c1,negated_conjecture,((![X]:(![Y]:((~equalish(X,Y)|(![Z]:((~a_member_of(Z,X)|a_member_of(Z,Y))&(~a_member_of(Z,Y)|a_member_of(Z,X)))))&((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|equalish(X,Y)))))&(?[X]:(?[Y]:((~equalish(X,Y)|~equalish(Y,X))&(equalish(X,Y)|equalish(Y,X)))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.35/0.63 fof(c2,negated_conjecture,(((![X]:(![Y]:(~equalish(X,Y)|((![Z]:(~a_member_of(Z,X)|a_member_of(Z,Y)))&(![Z]:(~a_member_of(Z,Y)|a_member_of(Z,X)))))))&(![X]:(![Y]:((?[Z]:((~a_member_of(Z,X)|~a_member_of(Z,Y))&(a_member_of(Z,X)|a_member_of(Z,Y))))|equalish(X,Y)))))&(?[X]:(?[Y]:((~equalish(X,Y)|~equalish(Y,X))&(equalish(X,Y)|equalish(Y,X)))))),inference(shift_quantors,[status(thm)],[c1])).
% 0.35/0.63 fof(c3,negated_conjecture,(((![X2]:(![X3]:(~equalish(X2,X3)|((![X4]:(~a_member_of(X4,X2)|a_member_of(X4,X3)))&(![X5]:(~a_member_of(X5,X3)|a_member_of(X5,X2)))))))&(![X6]:(![X7]:((?[X8]:((~a_member_of(X8,X6)|~a_member_of(X8,X7))&(a_member_of(X8,X6)|a_member_of(X8,X7))))|equalish(X6,X7)))))&(?[X9]:(?[X10]:((~equalish(X9,X10)|~equalish(X10,X9))&(equalish(X9,X10)|equalish(X10,X9)))))),inference(variable_rename,[status(thm)],[c2])).
% 0.35/0.63 fof(c5,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(((~equalish(X2,X3)|((~a_member_of(X4,X2)|a_member_of(X4,X3))&(~a_member_of(X5,X3)|a_member_of(X5,X2))))&(((~a_member_of(skolem0001(X6,X7),X6)|~a_member_of(skolem0001(X6,X7),X7))&(a_member_of(skolem0001(X6,X7),X6)|a_member_of(skolem0001(X6,X7),X7)))|equalish(X6,X7)))&((~equalish(skolem0002,skolem0003)|~equalish(skolem0003,skolem0002))&(equalish(skolem0002,skolem0003)|equalish(skolem0003,skolem0002)))))))))),inference(shift_quantors,[status(thm)],[fof(c4,negated_conjecture,(((![X2]:(![X3]:(~equalish(X2,X3)|((![X4]:(~a_member_of(X4,X2)|a_member_of(X4,X3)))&(![X5]:(~a_member_of(X5,X3)|a_member_of(X5,X2)))))))&(![X6]:(![X7]:(((~a_member_of(skolem0001(X6,X7),X6)|~a_member_of(skolem0001(X6,X7),X7))&(a_member_of(skolem0001(X6,X7),X6)|a_member_of(skolem0001(X6,X7),X7)))|equalish(X6,X7)))))&((~equalish(skolem0002,skolem0003)|~equalish(skolem0003,skolem0002))&(equalish(skolem0002,skolem0003)|equalish(skolem0003,skolem0002)))),inference(skolemize,[status(esa)],[c3])).])).
% 0.35/0.63 fof(c6,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((((~equalish(X2,X3)|(~a_member_of(X4,X2)|a_member_of(X4,X3)))&(~equalish(X2,X3)|(~a_member_of(X5,X3)|a_member_of(X5,X2))))&(((~a_member_of(skolem0001(X6,X7),X6)|~a_member_of(skolem0001(X6,X7),X7))|equalish(X6,X7))&((a_member_of(skolem0001(X6,X7),X6)|a_member_of(skolem0001(X6,X7),X7))|equalish(X6,X7))))&((~equalish(skolem0002,skolem0003)|~equalish(skolem0003,skolem0002))&(equalish(skolem0002,skolem0003)|equalish(skolem0003,skolem0002)))))))))),inference(distribute,[status(thm)],[c5])).
% 0.35/0.63 cnf(c11,negated_conjecture,~equalish(skolem0002,skolem0003)|~equalish(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 0.35/0.63 cnf(c9,negated_conjecture,~a_member_of(skolem0001(X18,X17),X18)|~a_member_of(skolem0001(X18,X17),X17)|equalish(X18,X17),inference(split_conjunct,[status(thm)],[c6])).
% 0.35/0.63 cnf(c12,negated_conjecture,equalish(skolem0002,skolem0003)|equalish(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 0.35/0.63 cnf(c8,negated_conjecture,~equalish(X15,X14)|~a_member_of(X16,X14)|a_member_of(X16,X15),inference(split_conjunct,[status(thm)],[c6])).
% 0.35/0.63 cnf(c10,negated_conjecture,a_member_of(skolem0001(X21,X20),X21)|a_member_of(skolem0001(X21,X20),X20)|equalish(X21,X20),inference(split_conjunct,[status(thm)],[c6])).
% 0.35/0.63 cnf(c17,plain,a_member_of(skolem0001(X36,X35),X35)|equalish(X36,X35)|~equalish(X37,X36)|a_member_of(skolem0001(X36,X35),X37),inference(resolution,[status(thm)],[c10, c8])).
% 0.35/0.63 cnf(c35,plain,a_member_of(skolem0001(skolem0003,X71),X71)|equalish(skolem0003,X71)|a_member_of(skolem0001(skolem0003,X71),skolem0002)|equalish(skolem0003,skolem0002),inference(resolution,[status(thm)],[c17, c12])).
% 0.35/0.63 cnf(c105,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0002)|equalish(skolem0003,skolem0002),inference(factor,[status(thm)],[c35])).
% 0.35/0.63 cnf(c149,plain,equalish(skolem0003,skolem0002)|~a_member_of(skolem0001(skolem0003,skolem0002),skolem0003),inference(resolution,[status(thm)],[c105, c9])).
% 0.35/0.63 cnf(c7,negated_conjecture,~equalish(X12,X11)|~a_member_of(X13,X12)|a_member_of(X13,X11),inference(split_conjunct,[status(thm)],[c6])).
% 0.35/0.63 cnf(c20,plain,a_member_of(skolem0001(X45,X44),X45)|equalish(X45,X44)|~equalish(X44,X46)|a_member_of(skolem0001(X45,X44),X46),inference(resolution,[status(thm)],[c10, c7])).
% 0.35/0.63 cnf(c39,plain,a_member_of(skolem0001(X87,skolem0002),X87)|equalish(X87,skolem0002)|a_member_of(skolem0001(X87,skolem0002),skolem0003)|equalish(skolem0003,skolem0002),inference(resolution,[status(thm)],[c20, c12])).
% 0.35/0.63 cnf(c221,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0003)|equalish(skolem0003,skolem0002),inference(factor,[status(thm)],[c39])).
% 0.35/0.63 cnf(c248,plain,equalish(skolem0003,skolem0002),inference(resolution,[status(thm)],[c221, c149])).
% 0.35/0.63 cnf(c259,plain,~equalish(skolem0002,skolem0003),inference(resolution,[status(thm)],[c248, c11])).
% 0.35/0.63 cnf(c36,plain,a_member_of(skolem0001(skolem0002,X79),X79)|equalish(skolem0002,X79)|a_member_of(skolem0001(skolem0002,X79),skolem0003)|equalish(skolem0002,skolem0003),inference(resolution,[status(thm)],[c17, c12])).
% 0.35/0.63 cnf(c155,plain,a_member_of(skolem0001(skolem0002,skolem0003),skolem0003)|equalish(skolem0002,skolem0003),inference(factor,[status(thm)],[c36])).
% 0.35/0.63 cnf(c187,plain,equalish(skolem0002,skolem0003)|~a_member_of(skolem0001(skolem0002,skolem0003),skolem0002),inference(resolution,[status(thm)],[c155, c9])).
% 0.35/0.63 cnf(c262,plain,a_member_of(skolem0001(skolem0002,skolem0003),skolem0003),inference(resolution,[status(thm)],[c259, c155])).
% 0.35/0.63 cnf(c290,plain,~equalish(skolem0003,X90)|a_member_of(skolem0001(skolem0002,skolem0003),X90),inference(resolution,[status(thm)],[c262, c7])).
% 0.35/0.63 cnf(c308,plain,a_member_of(skolem0001(skolem0002,skolem0003),skolem0002),inference(resolution,[status(thm)],[c290, c248])).
% 0.35/0.63 cnf(c340,plain,equalish(skolem0002,skolem0003),inference(resolution,[status(thm)],[c308, c187])).
% 0.35/0.63 cnf(c341,plain,$false,inference(resolution,[status(thm)],[c340, c259])).
% 0.35/0.63 % SZS output end CNFRefutation
% 0.35/0.63
% 0.35/0.63 % Initial clauses : 6
% 0.35/0.63 % Processed clauses : 37
% 0.35/0.63 % Factors computed : 36
% 0.35/0.63 % Resolvents computed: 298
% 0.35/0.63 % Tautologies deleted: 5
% 0.35/0.63 % Forward subsumed : 32
% 0.35/0.63 % Backward subsumed : 17
% 0.35/0.63 % -------- CPU Time ---------
% 0.35/0.63 % User time : 0.277 s
% 0.35/0.63 % System time : 0.017 s
% 0.35/0.63 % Total time : 0.294 s
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