%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:22:46 EDT 2024
% Result : Theorem 1.78s 1.98s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP012+5 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.36 % Computer : n020.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu May 9 05:00:53 EDT 2024
% 0.13/0.36 % CPUTime :
% 1.78/1.98 % Version: 1.5
% 1.78/1.98 % SZS status Theorem
% 1.78/1.98 % SZS output start CNFRefutation
% 1.78/1.98 fof(prove_distribution,conjecture,(![E]:((((((((![X]:(![Y]:(?[Z]:product(X,Y,Z))))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,Y,U)&product(Y,Z,V))&product(U,Z,W))=>product(X,V,W)))))))))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,Y,U)&product(Y,Z,V))&product(X,V,W))=>product(U,Z,W)))))))))&(![X]:product(X,E,X)))&(![X]:product(E,X,X)))&(![X]:product(X,inverse(X),E)))&(![X]:product(inverse(X),X,E)))=>(![U]:(![V]:(![W]:(![X]:((product(inverse(U),inverse(V),W)&product(V,U,X))=>product(inverse(W),inverse(X),E)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_distribution)).
% 1.78/1.98 fof(c0,negated_conjecture,(~(![E]:((((((((![X]:(![Y]:(?[Z]:product(X,Y,Z))))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,Y,U)&product(Y,Z,V))&product(U,Z,W))=>product(X,V,W)))))))))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,Y,U)&product(Y,Z,V))&product(X,V,W))=>product(U,Z,W)))))))))&(![X]:product(X,E,X)))&(![X]:product(E,X,X)))&(![X]:product(X,inverse(X),E)))&(![X]:product(inverse(X),X,E)))=>(![U]:(![V]:(![W]:(![X]:((product(inverse(U),inverse(V),W)&product(V,U,X))=>product(inverse(W),inverse(X),E))))))))),inference(assume_negation,[status(cth)],[prove_distribution])).
% 1.78/1.98 fof(c1,negated_conjecture,(?[E]:((((((((![X]:(![Y]:(?[Z]:product(X,Y,Z))))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((~product(X,Y,U)|~product(Y,Z,V))|~product(U,Z,W))|product(X,V,W)))))))))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((~product(X,Y,U)|~product(Y,Z,V))|~product(X,V,W))|product(U,Z,W)))))))))&(![X]:product(X,E,X)))&(![X]:product(E,X,X)))&(![X]:product(X,inverse(X),E)))&(![X]:product(inverse(X),X,E)))&(?[U]:(?[V]:(?[W]:(?[X]:((product(inverse(U),inverse(V),W)&product(V,U,X))&~product(inverse(W),inverse(X),E)))))))),inference(fof_nnf,[status(thm)],[c0])).
% 1.78/1.98 fof(c2,negated_conjecture,(?[X2]:((((((((![X3]:(![X4]:(?[X5]:product(X3,X4,X5))))&(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(((~product(X6,X7,X9)|~product(X7,X8,X10))|~product(X9,X8,X11))|product(X6,X10,X11)))))))))&(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((~product(X12,X13,X15)|~product(X13,X14,X16))|~product(X12,X16,X17))|product(X15,X14,X17)))))))))&(![X18]:product(X18,X2,X18)))&(![X19]:product(X2,X19,X19)))&(![X20]:product(X20,inverse(X20),X2)))&(![X21]:product(inverse(X21),X21,X2)))&(?[X22]:(?[X23]:(?[X24]:(?[X25]:((product(inverse(X22),inverse(X23),X24)&product(X23,X22,X25))&~product(inverse(X24),inverse(X25),X2)))))))),inference(variable_rename,[status(thm)],[c1])).
% 1.78/1.98 fof(c4,negated_conjecture,(![X3]:(![X4]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((((((product(X3,X4,skolem0002(X3,X4))&(((~product(X6,X7,X9)|~product(X7,X8,X10))|~product(X9,X8,X11))|product(X6,X10,X11)))&(((~product(X12,X13,X15)|~product(X13,X14,X16))|~product(X12,X16,X17))|product(X15,X14,X17)))&product(X18,skolem0001,X18))&product(skolem0001,X19,X19))&product(X20,inverse(X20),skolem0001))&product(inverse(X21),X21,skolem0001))&((product(inverse(skolem0003),inverse(skolem0004),skolem0005)&product(skolem0004,skolem0003,skolem0006))&~product(inverse(skolem0005),inverse(skolem0006),skolem0001))))))))))))))))))))),inference(shift_quantors,[status(thm)],[fof(c3,negated_conjecture,((((((((![X3]:(![X4]:product(X3,X4,skolem0002(X3,X4))))&(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(((~product(X6,X7,X9)|~product(X7,X8,X10))|~product(X9,X8,X11))|product(X6,X10,X11)))))))))&(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((~product(X12,X13,X15)|~product(X13,X14,X16))|~product(X12,X16,X17))|product(X15,X14,X17)))))))))&(![X18]:product(X18,skolem0001,X18)))&(![X19]:product(skolem0001,X19,X19)))&(![X20]:product(X20,inverse(X20),skolem0001)))&(![X21]:product(inverse(X21),X21,skolem0001)))&((product(inverse(skolem0003),inverse(skolem0004),skolem0005)&product(skolem0004,skolem0003,skolem0006))&~product(inverse(skolem0005),inverse(skolem0006),skolem0001))),inference(skolemize,[status(esa)],[c2])).])).
% 1.78/1.98 cnf(c14,negated_conjecture,~product(inverse(skolem0005),inverse(skolem0006),skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c9,negated_conjecture,product(skolem0001,X27,X27),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c10,negated_conjecture,product(X30,inverse(X30),skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c6,negated_conjecture,~product(X34,X37,X35)|~product(X37,X32,X36)|~product(X35,X32,X33)|product(X34,X36,X33),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c18,plain,~product(X74,X76,X75)|~product(X76,inverse(X75),X73)|product(X74,X73,skolem0001),inference(resolution,[status(thm)],[c6, c10])).
% 1.78/1.98 cnf(c74,plain,~product(X167,skolem0001,X166)|product(X167,inverse(X166),skolem0001),inference(resolution,[status(thm)],[c18, c9])).
% 1.78/1.98 cnf(c8,negated_conjecture,product(X26,skolem0001,X26),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c7,negated_conjecture,~product(X43,X45,X46)|~product(X45,X47,X44)|~product(X43,X44,X42)|product(X46,X47,X42),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c35,plain,~product(X189,X191,X192)|~product(X191,X190,skolem0001)|product(X192,X190,X189),inference(resolution,[status(thm)],[c7, c8])).
% 1.78/1.98 cnf(c398,plain,~product(X226,skolem0001,X227)|product(X227,skolem0001,X226),inference(resolution,[status(thm)],[c35, c9])).
% 1.78/1.98 cnf(c36,plain,~product(skolem0001,X198,X199)|~product(X198,X197,X196)|product(X199,X197,X196),inference(resolution,[status(thm)],[c7, c9])).
% 1.78/1.98 cnf(c477,plain,~product(skolem0001,X274,X275)|product(X275,skolem0001,X274),inference(resolution,[status(thm)],[c36, c8])).
% 1.78/1.98 cnf(c400,plain,~product(X236,X238,X237)|product(X237,inverse(X238),X236),inference(resolution,[status(thm)],[c35, c10])).
% 1.78/1.98 cnf(c13,negated_conjecture,product(skolem0004,skolem0003,skolem0006),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c752,plain,product(skolem0006,inverse(skolem0003),skolem0004),inference(resolution,[status(thm)],[c400, c13])).
% 1.78/1.98 cnf(c12,negated_conjecture,product(inverse(skolem0003),inverse(skolem0004),skolem0005),inference(split_conjunct,[status(thm)],[c4])).
% 1.78/1.98 cnf(c73,plain,~product(X317,inverse(skolem0003),skolem0004)|product(X317,skolem0005,skolem0001),inference(resolution,[status(thm)],[c18, c12])).
% 1.78/1.98 cnf(c1416,plain,product(skolem0006,skolem0005,skolem0001),inference(resolution,[status(thm)],[c73, c752])).
% 1.78/1.98 cnf(c1419,plain,product(skolem0001,inverse(skolem0005),skolem0006),inference(resolution,[status(thm)],[c1416, c400])).
% 1.78/1.98 cnf(c1440,plain,product(skolem0006,skolem0001,inverse(skolem0005)),inference(resolution,[status(thm)],[c1419, c477])).
% 1.78/1.98 cnf(c1456,plain,product(inverse(skolem0005),skolem0001,skolem0006),inference(resolution,[status(thm)],[c1440, c398])).
% 1.78/1.98 cnf(c1479,plain,product(inverse(skolem0005),inverse(skolem0006),skolem0001),inference(resolution,[status(thm)],[c1456, c74])).
% 1.78/1.98 cnf(c4458,plain,$false,inference(resolution,[status(thm)],[c1479, c14])).
% 1.78/1.98 % SZS output end CNFRefutation
% 1.78/1.98
% 1.78/1.98 % Initial clauses : 10
% 1.78/1.98 % Processed clauses : 208
% 1.78/1.98 % Factors computed : 32
% 1.78/1.98 % Resolvents computed: 4468
% 1.78/1.98 % Tautologies deleted: 25
% 1.78/1.98 % Forward subsumed : 325
% 1.78/1.98 % Backward subsumed : 17
% 1.78/1.98 % -------- CPU Time ---------
% 1.78/1.98 % User time : 1.567 s
% 1.78/1.98 % System time : 0.020 s
% 1.78/1.98 % Total time : 1.587 s
%------------------------------------------------------------------------------