%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 17:22:43 EDT 2024
% Result : Theorem 0.91s 1.11s
% Output : Refutation 0.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP001+6 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Thu May 9 03:56:37 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.91/1.11 % Version: 1.5
% 0.91/1.11 % SZS status Theorem
% 0.91/1.11 % SZS output start CNFRefutation
% 0.91/1.11 fof(commutativity,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)))=>((![X]:product(X,X,E))=>(![U]:(![V]:(![W]:(product(U,V,W)=>product(V,U,W)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', commutativity)).
% 0.91/1.11 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)))=>((![X]:product(X,X,E))=>(![U]:(![V]:(![W]:(product(U,V,W)=>product(V,U,W))))))))),inference(assume_negation,[status(cth)],[commutativity])).
% 0.91/1.11 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)))&((![X]:product(X,X,E))&(?[U]:(?[V]:(?[W]:(product(U,V,W)&~product(V,U,W)))))))),inference(fof_nnf,[status(thm)],[c0])).
% 0.91/1.11 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]:product(X22,X22,X2))&(?[X23]:(?[X24]:(?[X25]:(product(X23,X24,X25)&~product(X24,X23,X25)))))))),inference(variable_rename,[status(thm)],[c1])).
% 0.91/1.11 fof(c4,negated_conjecture,(![X3]:(![X4]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(((((((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(X22,X22,skolem0001)&(product(skolem0003,skolem0004,skolem0005)&~product(skolem0004,skolem0003,skolem0005))))))))))))))))))))))),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)))&((![X22]:product(X22,X22,skolem0001))&(product(skolem0003,skolem0004,skolem0005)&~product(skolem0004,skolem0003,skolem0005)))),inference(skolemize,[status(esa)],[c2])).])).
% 0.91/1.11 cnf(c14,negated_conjecture,~product(skolem0004,skolem0003,skolem0005),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 cnf(c12,negated_conjecture,product(X28,X28,skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 cnf(c8,negated_conjecture,product(X26,skolem0001,X26),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 cnf(c7,negated_conjecture,~product(X44,X45,X48)|~product(X45,X43,X47)|~product(X44,X47,X46)|product(X48,X43,X46),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 cnf(c31,plain,~product(X144,X143,X142)|~product(X143,X145,skolem0001)|product(X142,X145,X144),inference(resolution,[status(thm)],[c7, c8])).
% 0.91/1.11 cnf(c221,plain,~product(X149,X148,X147)|product(X147,X148,X149),inference(resolution,[status(thm)],[c31, c12])).
% 0.91/1.11 cnf(c13,negated_conjecture,product(skolem0003,skolem0004,skolem0005),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 cnf(c235,plain,product(skolem0005,skolem0004,skolem0003),inference(resolution,[status(thm)],[c221, c13])).
% 0.91/1.11 cnf(c11,negated_conjecture,product(inverse(X38),X38,skolem0001),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 cnf(c9,negated_conjecture,product(skolem0001,X27,X27),inference(split_conjunct,[status(thm)],[c4])).
% 0.91/1.11 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])).
% 0.91/1.11 cnf(c16,plain,~product(X56,X59,X59)|~product(X59,X57,X58)|product(X56,X58,X58),inference(factor,[status(thm)],[c6])).
% 0.91/1.11 cnf(c49,plain,~product(X73,skolem0001,skolem0001)|product(X73,X72,X72),inference(resolution,[status(thm)],[c16, c9])).
% 0.91/1.11 cnf(c64,plain,product(inverse(skolem0001),X82,X82),inference(resolution,[status(thm)],[c49, c11])).
% 0.91/1.11 cnf(c227,plain,product(X160,X160,inverse(skolem0001)),inference(resolution,[status(thm)],[c221, c64])).
% 0.91/1.11 cnf(c76,plain,~product(X367,X366,inverse(skolem0001))|~product(X366,X369,X368)|product(X367,X368,X369),inference(resolution,[status(thm)],[c64, c6])).
% 0.91/1.11 cnf(c1519,plain,~product(X434,X435,X436)|product(X434,X436,X435),inference(resolution,[status(thm)],[c76, c227])).
% 0.91/1.11 cnf(c1928,plain,product(skolem0005,skolem0003,skolem0004),inference(resolution,[status(thm)],[c1519, c235])).
% 0.91/1.11 cnf(c2198,plain,product(skolem0004,skolem0003,skolem0005),inference(resolution,[status(thm)],[c1928, c221])).
% 0.91/1.11 cnf(c2299,plain,$false,inference(resolution,[status(thm)],[c2198, c14])).
% 0.91/1.11 % SZS output end CNFRefutation
% 0.91/1.11
% 0.91/1.11 % Initial clauses : 10
% 0.91/1.11 % Processed clauses : 126
% 0.91/1.11 % Factors computed : 26
% 0.91/1.11 % Resolvents computed: 2275
% 0.91/1.11 % Tautologies deleted: 19
% 0.91/1.11 % Forward subsumed : 205
% 0.91/1.11 % Backward subsumed : 22
% 0.91/1.11 % -------- CPU Time ---------
% 0.91/1.11 % User time : 0.788 s
% 0.91/1.11 % System time : 0.017 s
% 0.91/1.11 % Total time : 0.805 s
%------------------------------------------------------------------------------