TSTP Solution File: SYN966+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 : Thu Jul 21 11:32:12 EDT 2022
% Result : Theorem 0.39s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN966+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n014.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 : Mon Jul 11 19:45:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.55 # Version: 1.3
% 0.39/0.55 # SZS status Theorem
% 0.39/0.55 # SZS output start CNFRefutation
% 0.39/0.55 fof(prove_this,conjecture,((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A))))),input).
% 0.39/0.55 fof(c0,negated_conjecture,(~((![X]:(![Y]:(eq(X,Y)<=>(![Z]:(a_member_of(Z,X)<=>a_member_of(Z,Y))))))=>(![A]:(![B]:(eq(A,B)=>eq(B,A)))))),inference(assume_negation,status(cth),[prove_this])).
% 0.39/0.55 fof(c1,negated_conjecture,((![X]:(![Y]:((~eq(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))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(fof_nnf,status(thm),[c0])).
% 0.39/0.55 fof(c2,negated_conjecture,(((![X]:(![Y]:(~eq(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))))|eq(X,Y)))))&(?[A]:(?[B]:(eq(A,B)&~eq(B,A))))),inference(shift_quantors,status(thm),[c1])).
% 0.39/0.55 fof(c3,negated_conjecture,(((![X2]:(![X3]:(~eq(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))))|eq(X6,X7)))))&(?[X9]:(?[X10]:(eq(X9,X10)&~eq(X10,X9))))),inference(variable_rename,status(thm),[c2])).
% 0.39/0.55 fof(c5,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(((~eq(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)))|eq(X6,X7)))&(eq(skolem0002,skolem0003)&~eq(skolem0003,skolem0002))))))))),inference(shift_quantors,status(thm),[fof(c4,negated_conjecture,(((![X2]:(![X3]:(~eq(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)))|eq(X6,X7)))))&(eq(skolem0002,skolem0003)&~eq(skolem0003,skolem0002))),inference(skolemize,status(esa),[c3])).])).
% 0.39/0.55 fof(c6,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((((~eq(X2,X3)|(~a_member_of(X4,X2)|a_member_of(X4,X3)))&(~eq(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))|eq(X6,X7))&((a_member_of(skolem0001(X6,X7),X6)|a_member_of(skolem0001(X6,X7),X7))|eq(X6,X7))))&(eq(skolem0002,skolem0003)&~eq(skolem0003,skolem0002))))))))),inference(distribute,status(thm),[c5])).
% 0.39/0.55 cnf(c12,negated_conjecture,~eq(skolem0003,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.39/0.55 cnf(c11,negated_conjecture,eq(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c6])).
% 0.39/0.55 cnf(c7,negated_conjecture,~eq(X13,X12)|~a_member_of(X11,X13)|a_member_of(X11,X12),inference(split_conjunct,status(thm),[c6])).
% 0.39/0.55 cnf(c8,negated_conjecture,~eq(X16,X14)|~a_member_of(X15,X14)|a_member_of(X15,X16),inference(split_conjunct,status(thm),[c6])).
% 0.39/0.55 cnf(c10,negated_conjecture,a_member_of(skolem0001(X19,X20),X19)|a_member_of(skolem0001(X19,X20),X20)|eq(X19,X20),inference(split_conjunct,status(thm),[c6])).
% 0.39/0.55 cnf(c16,plain,a_member_of(skolem0001(X40,X39),X39)|eq(X40,X39)|~eq(X38,X40)|a_member_of(skolem0001(X40,X39),X38),inference(resolution,status(thm),[c10, c8])).
% 0.39/0.55 cnf(c31,plain,a_member_of(skolem0001(skolem0003,X65),X65)|eq(skolem0003,X65)|a_member_of(skolem0001(skolem0003,X65),skolem0002),inference(resolution,status(thm),[c16, c11])).
% 0.39/0.55 cnf(c85,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0002),inference(resolution,status(thm),[c31, c12])).
% 0.39/0.55 cnf(c90,plain,~eq(skolem0002,X66)|a_member_of(skolem0001(skolem0003,skolem0002),X66),inference(resolution,status(thm),[c85, c7])).
% 0.39/0.55 cnf(c93,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0003),inference(resolution,status(thm),[c90, c11])).
% 0.39/0.55 cnf(c9,negated_conjecture,~a_member_of(skolem0001(X17,X18),X17)|~a_member_of(skolem0001(X17,X18),X18)|eq(X17,X18),inference(split_conjunct,status(thm),[c6])).
% 0.39/0.55 cnf(c91,plain,~a_member_of(skolem0001(skolem0003,skolem0002),skolem0003)|eq(skolem0003,skolem0002),inference(resolution,status(thm),[c85, c9])).
% 0.39/0.55 cnf(c143,plain,eq(skolem0003,skolem0002),inference(resolution,status(thm),[c91, c93])).
% 0.39/0.55 cnf(c153,plain,$false,inference(resolution,status(thm),[c143, c12])).
% 0.39/0.55 # SZS output end CNFRefutation
% 0.39/0.55
% 0.39/0.55 # Initial clauses : 6
% 0.39/0.55 # Processed clauses : 26
% 0.39/0.55 # Factors computed : 15
% 0.39/0.55 # Resolvents computed: 127
% 0.39/0.55 # Tautologies deleted: 2
% 0.39/0.55 # Forward subsumed : 27
% 0.39/0.55 # Backward subsumed : 4
% 0.39/0.55 # -------- CPU Time ---------
% 0.39/0.55 # User time : 0.198 s
% 0.39/0.55 # System time : 0.015 s
% 0.39/0.55 # Total time : 0.213 s
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