TSTP Solution File: SET788+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 04:40:12 EDT 2022
% Result : Theorem 0.50s 0.66s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n004.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 : Mon Jul 11 06:35:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.50/0.66 # Version: 1.3
% 0.50/0.66 # SZS status Theorem
% 0.50/0.66 # SZS output start CNFRefutation
% 0.50/0.66 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))))),input).
% 0.50/0.66 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])).
% 0.50/0.66 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])).
% 0.50/0.66 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])).
% 0.50/0.66 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])).
% 0.50/0.66 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])).])).
% 0.50/0.66 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])).
% 0.50/0.66 cnf(c11,negated_conjecture,~equalish(skolem0002,skolem0003)|~equalish(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.50/0.66 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])).
% 0.50/0.66 cnf(c12,negated_conjecture,equalish(skolem0002,skolem0003)|equalish(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.50/0.66 cnf(c8,negated_conjecture,~equalish(X14,X15)|~a_member_of(X16,X15)|a_member_of(X16,X14),inference(split_conjunct,status(thm),[c6])).
% 0.50/0.66 cnf(c10,negated_conjecture,a_member_of(skolem0001(X20,X19),X20)|a_member_of(skolem0001(X20,X19),X19)|equalish(X20,X19),inference(split_conjunct,status(thm),[c6])).
% 0.50/0.66 cnf(c16,plain,a_member_of(skolem0001(X37,X38),X38)|equalish(X37,X38)|~equalish(X36,X37)|a_member_of(skolem0001(X37,X38),X36),inference(resolution,status(thm),[c10, c8])).
% 0.50/0.66 cnf(c33,plain,a_member_of(skolem0001(skolem0003,X73),X73)|equalish(skolem0003,X73)|a_member_of(skolem0001(skolem0003,X73),skolem0002)|equalish(skolem0003,skolem0002),inference(resolution,status(thm),[c16, c12])).
% 0.50/0.66 cnf(c128,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0002)|equalish(skolem0003,skolem0002),inference(factor,status(thm),[c33])).
% 0.50/0.66 cnf(c148,plain,equalish(skolem0003,skolem0002)|~a_member_of(skolem0001(skolem0003,skolem0002),skolem0003),inference(resolution,status(thm),[c128, c9])).
% 0.50/0.66 cnf(c7,negated_conjecture,~equalish(X11,X12)|~a_member_of(X13,X11)|a_member_of(X13,X12),inference(split_conjunct,status(thm),[c6])).
% 0.50/0.66 cnf(c146,plain,equalish(skolem0003,skolem0002)|~equalish(skolem0002,X82)|a_member_of(skolem0001(skolem0003,skolem0002),X82),inference(resolution,status(thm),[c128, c7])).
% 0.50/0.66 cnf(c232,plain,equalish(skolem0003,skolem0002)|a_member_of(skolem0001(skolem0003,skolem0002),skolem0003),inference(resolution,status(thm),[c146, c12])).
% 0.50/0.66 cnf(c263,plain,equalish(skolem0003,skolem0002),inference(resolution,status(thm),[c232, c148])).
% 0.50/0.66 cnf(c265,plain,~equalish(skolem0002,skolem0003),inference(resolution,status(thm),[c263, c11])).
% 0.50/0.66 cnf(c35,plain,a_member_of(skolem0001(skolem0002,X74),X74)|equalish(skolem0002,X74)|a_member_of(skolem0001(skolem0002,X74),skolem0003)|equalish(skolem0002,skolem0003),inference(resolution,status(thm),[c16, c12])).
% 0.50/0.66 cnf(c165,plain,a_member_of(skolem0001(skolem0002,skolem0003),skolem0003)|equalish(skolem0002,skolem0003),inference(factor,status(thm),[c35])).
% 0.50/0.66 cnf(c184,plain,equalish(skolem0002,skolem0003)|~a_member_of(skolem0001(skolem0002,skolem0003),skolem0002),inference(resolution,status(thm),[c165, c9])).
% 0.50/0.66 cnf(c274,plain,a_member_of(skolem0001(skolem0002,skolem0003),skolem0003),inference(resolution,status(thm),[c265, c165])).
% 0.50/0.66 cnf(c280,plain,~equalish(skolem0003,X86)|a_member_of(skolem0001(skolem0002,skolem0003),X86),inference(resolution,status(thm),[c274, c7])).
% 0.50/0.66 cnf(c313,plain,a_member_of(skolem0001(skolem0002,skolem0003),skolem0002),inference(resolution,status(thm),[c280, c263])).
% 0.50/0.66 cnf(c321,plain,equalish(skolem0002,skolem0003),inference(resolution,status(thm),[c313, c184])).
% 0.50/0.66 cnf(c325,plain,$false,inference(resolution,status(thm),[c321, c265])).
% 0.50/0.66 # SZS output end CNFRefutation
% 0.50/0.66
% 0.50/0.66 # Initial clauses : 6
% 0.50/0.66 # Processed clauses : 37
% 0.50/0.66 # Factors computed : 29
% 0.50/0.66 # Resolvents computed: 286
% 0.50/0.66 # Tautologies deleted: 3
% 0.50/0.66 # Forward subsumed : 30
% 0.50/0.66 # Backward subsumed : 18
% 0.50/0.66 # -------- CPU Time ---------
% 0.50/0.66 # User time : 0.294 s
% 0.50/0.66 # System time : 0.013 s
% 0.50/0.66 # Total time : 0.307 s
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