%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:49:44 EDT 2024
% Result : Theorem 0.39s 0.57s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN966+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 20:04:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.39/0.57 % Version: 1.5
% 0.39/0.57 % SZS status Theorem
% 0.39/0.57 % SZS output start CNFRefutation
% 0.39/0.57 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))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_this)).
% 0.39/0.57 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])).
% 0.39/0.57 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])).
% 0.39/0.57 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])).
% 0.39/0.57 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])).
% 0.39/0.57 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])).])).
% 0.39/0.57 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])).
% 0.39/0.57 cnf(c12,negated_conjecture,~eq(skolem0003,skolem0002),inference(split_conjunct,[status(thm)],[c6])).
% 0.39/0.57 cnf(c11,negated_conjecture,eq(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c6])).
% 0.39/0.57 cnf(c7,negated_conjecture,~eq(X13,X12)|~a_member_of(X11,X13)|a_member_of(X11,X12),inference(split_conjunct,[status(thm)],[c6])).
% 0.39/0.57 cnf(c8,negated_conjecture,~eq(X16,X15)|~a_member_of(X14,X15)|a_member_of(X14,X16),inference(split_conjunct,[status(thm)],[c6])).
% 0.39/0.57 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])).
% 0.39/0.57 cnf(c17,plain,a_member_of(skolem0001(X38,X39),X39)|eq(X38,X39)|~eq(X37,X38)|a_member_of(skolem0001(X38,X39),X37),inference(resolution,[status(thm)],[c10, c8])).
% 0.39/0.57 cnf(c31,plain,a_member_of(skolem0001(skolem0003,X55),X55)|eq(skolem0003,X55)|a_member_of(skolem0001(skolem0003,X55),skolem0002),inference(resolution,[status(thm)],[c17, c11])).
% 0.39/0.57 cnf(c61,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0002),inference(resolution,[status(thm)],[c31, c12])).
% 0.39/0.57 cnf(c68,plain,~eq(skolem0002,X61)|a_member_of(skolem0001(skolem0003,skolem0002),X61),inference(resolution,[status(thm)],[c61, c7])).
% 0.39/0.57 cnf(c97,plain,a_member_of(skolem0001(skolem0003,skolem0002),skolem0003),inference(resolution,[status(thm)],[c68, c11])).
% 0.39/0.57 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])).
% 0.39/0.57 cnf(c69,plain,~a_member_of(skolem0001(skolem0003,skolem0002),skolem0003)|eq(skolem0003,skolem0002),inference(resolution,[status(thm)],[c61, c9])).
% 0.39/0.57 cnf(c146,plain,eq(skolem0003,skolem0002),inference(resolution,[status(thm)],[c69, c97])).
% 0.39/0.57 cnf(c152,plain,$false,inference(resolution,[status(thm)],[c146, c12])).
% 0.39/0.57 % SZS output end CNFRefutation
% 0.39/0.57
% 0.39/0.57 % Initial clauses : 6
% 0.39/0.57 % Processed clauses : 26
% 0.39/0.57 % Factors computed : 16
% 0.39/0.57 % Resolvents computed: 127
% 0.39/0.57 % Tautologies deleted: 2
% 0.39/0.57 % Forward subsumed : 24
% 0.39/0.57 % Backward subsumed : 4
% 0.39/0.57 % -------- CPU Time ---------
% 0.39/0.57 % User time : 0.187 s
% 0.39/0.57 % System time : 0.020 s
% 0.39/0.57 % Total time : 0.207 s
%------------------------------------------------------------------------------