0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.09 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s 0.09/0.28 % Computer : n003.cluster.edu 0.09/0.28 % Model : x86_64 x86_64 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.28 % Memory : 8042.1875MB 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.28 % CPULimit : 960 0.09/0.28 % DateTime : Thu Jul 2 07:08:26 EDT 2020 0.09/0.28 % CPUTime : 14.87/15.13 # Version: 1.3 14.87/15.13 # SZS status Theorem 14.87/15.13 # SZS output start CNFRefutation 14.87/15.13 fof(prove_distribution,conjecture,(![E]:((((((((![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,V,W)&product(Y,Z,V))&product(X,Y,U))=>product(U,Z,W))))))))&(![X]:product(X,E,X)))&(![X]:product(inverse(X),X,E)))&(![X]:product(X,inverse(X),E)))&(![X]:product(E,X,X)))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(product(X,V,W)<=((product(X,Y,U)&product(Y,Z,V))&product(U,Z,W))))))))))&(![X]:(![Y]:(?[Z]:product(X,Y,Z)))))=>(![U]:(![V]:(![W]:(![X]:((product(V,U,X)&product(inverse(U),inverse(V),W))=>product(inverse(W),inverse(X),E)))))))),input). 14.87/15.13 fof(c0,negated_conjecture,(~(![E]:((((((((![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,V,W)&product(Y,Z,V))&product(X,Y,U))=>product(U,Z,W))))))))&(![X]:product(X,E,X)))&(![X]:product(inverse(X),X,E)))&(![X]:product(X,inverse(X),E)))&(![X]:product(E,X,X)))&(![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(product(X,V,W)<=((product(X,Y,U)&product(Y,Z,V))&product(U,Z,W))))))))))&(![X]:(![Y]:(?[Z]:product(X,Y,Z)))))=>(![U]:(![V]:(![W]:(![X]:((product(V,U,X)&product(inverse(U),inverse(V),W))=>product(inverse(W),inverse(X),E))))))))),inference(assume_negation,status(cth),[prove_distribution])). 14.87/15.13 fof(c1,negated_conjecture,(~(![E]:((((((((![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((product(X,V,W)&product(Y,Z,V))&product(X,Y,U))=>product(U,Z,W))))))))&(![X]:product(X,E,X)))&(![X]:product(inverse(X),X,E)))&(![X]:product(X,inverse(X),E)))&(![X]:product(E,X,X)))&(![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]:product(X,Y,Z)))))=>(![U]:(![V]:(![W]:(![X]:((product(V,U,X)&product(inverse(U),inverse(V),W))=>product(inverse(W),inverse(X),E))))))))),inference(fof_simplification,status(thm),[c0])). 14.87/15.13 fof(c2,negated_conjecture,(?[E]:((((((((![X]:(![Y]:(![Z]:(![U]:(![V]:(![W]:(((~product(X,V,W)|~product(Y,Z,V))|~product(X,Y,U))|product(U,Z,W))))))))&(![X]:product(X,E,X)))&(![X]:product(inverse(X),X,E)))&(![X]:product(X,inverse(X),E)))&(![X]:product(E,X,X)))&(![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]:product(X,Y,Z)))))&(?[U]:(?[V]:(?[W]:(?[X]:((product(V,U,X)&product(inverse(U),inverse(V),W))&~product(inverse(W),inverse(X),E)))))))),inference(fof_nnf,status(thm),[c1])). 14.87/15.13 fof(c3,negated_conjecture,(?[X2]:((((((((![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(((~product(X3,X7,X8)|~product(X4,X5,X7))|~product(X3,X4,X6))|product(X6,X5,X8))))))))&(![X9]:product(X9,X2,X9)))&(![X10]:product(inverse(X10),X10,X2)))&(![X11]:product(X11,inverse(X11),X2)))&(![X12]:product(X2,X12,X12)))&(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(((~product(X13,X14,X16)|~product(X14,X15,X17))|~product(X16,X15,X18))|product(X13,X17,X18)))))))))&(![X19]:(![X20]:(?[X21]:product(X19,X20,X21)))))&(?[X22]:(?[X23]:(?[X24]:(?[X25]:((product(X23,X22,X25)&product(inverse(X22),inverse(X23),X24))&~product(inverse(X24),inverse(X25),X2)))))))),inference(variable_rename,status(thm),[c2])). 14.87/15.13 fof(c5,negated_conjecture,(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((((((((((~product(X3,X7,X8)|~product(X4,X5,X7))|~product(X3,X4,X6))|product(X6,X5,X8))&product(X9,skolem0001,X9))&product(inverse(X10),X10,skolem0001))&product(X11,inverse(X11),skolem0001))&product(skolem0001,X12,X12))&(((~product(X13,X14,X16)|~product(X14,X15,X17))|~product(X16,X15,X18))|product(X13,X17,X18)))&product(X19,X20,skolem0002(X19,X20)))&((product(skolem0004,skolem0003,skolem0006)&product(inverse(skolem0003),inverse(skolem0004),skolem0005))&~product(inverse(skolem0005),inverse(skolem0006),skolem0001))))))))))))))))))))),inference(shift_quantors,status(thm),[fof(c4,negated_conjecture,((((((((![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(((~product(X3,X7,X8)|~product(X4,X5,X7))|~product(X3,X4,X6))|product(X6,X5,X8))))))))&(![X9]:product(X9,skolem0001,X9)))&(![X10]:product(inverse(X10),X10,skolem0001)))&(![X11]:product(X11,inverse(X11),skolem0001)))&(![X12]:product(skolem0001,X12,X12)))&(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(((~product(X13,X14,X16)|~product(X14,X15,X17))|~product(X16,X15,X18))|product(X13,X17,X18)))))))))&(![X19]:(![X20]:product(X19,X20,skolem0002(X19,X20)))))&((product(skolem0004,skolem0003,skolem0006)&product(inverse(skolem0003),inverse(skolem0004),skolem0005))&~product(inverse(skolem0005),inverse(skolem0006),skolem0001))),inference(skolemize,status(esa),[c3])).])). 14.87/15.13 cnf(c15,negated_conjecture,~product(inverse(skolem0005),inverse(skolem0006),skolem0001),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c7,negated_conjecture,product(X26,skolem0001,X26),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c8,negated_conjecture,product(inverse(X28),X28,skolem0001),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c11,negated_conjecture,~product(X44,X46,X49)|~product(X46,X47,X45)|~product(X49,X47,X48)|product(X44,X45,X48),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c31,plain,~product(X128,X127,inverse(X126))|~product(X127,X126,X129)|product(X128,X129,skolem0001),inference(resolution,status(thm),[c11, c8])). 14.87/15.13 cnf(c257,plain,~product(skolem0001,X693,X692)|product(inverse(X693),X692,skolem0001),inference(resolution,status(thm),[c31, c7])). 14.87/15.13 cnf(c6,negated_conjecture,~product(X36,X32,X35)|~product(X33,X37,X32)|~product(X36,X33,X34)|product(X34,X37,X35),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c17,plain,~product(inverse(X55),X57,X54)|~product(X55,X56,X57)|product(skolem0001,X56,X54),inference(resolution,status(thm),[c6, c8])). 14.87/15.13 cnf(c50,plain,~product(X115,X114,skolem0001)|product(skolem0001,X114,inverse(X115)),inference(resolution,status(thm),[c17, c7])). 14.87/15.13 cnf(c9,negated_conjecture,product(X29,inverse(X29),skolem0001),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c13,negated_conjecture,product(skolem0004,skolem0003,skolem0006),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c21,plain,~product(skolem0004,X91,X89)|~product(skolem0003,X90,X91)|product(skolem0006,X90,X89),inference(resolution,status(thm),[c13, c6])). 14.87/15.13 cnf(c98,plain,~product(skolem0004,skolem0001,X383)|product(skolem0006,inverse(skolem0003),X383),inference(resolution,status(thm),[c21, c9])). 14.87/15.13 cnf(c2074,plain,product(skolem0006,inverse(skolem0003),skolem0004),inference(resolution,status(thm),[c98, c7])). 14.87/15.13 cnf(c14,negated_conjecture,product(inverse(skolem0003),inverse(skolem0004),skolem0005),inference(split_conjunct,status(thm),[c5])). 14.87/15.13 cnf(c32,plain,~product(X135,X134,X136)|~product(X134,inverse(X136),X137)|product(X135,X137,skolem0001),inference(resolution,status(thm),[c11, c9])). 14.87/15.13 cnf(c305,plain,~product(X1199,inverse(skolem0003),skolem0004)|product(X1199,skolem0005,skolem0001),inference(resolution,status(thm),[c32, c14])). 14.87/15.13 cnf(c11478,plain,product(skolem0006,skolem0005,skolem0001),inference(resolution,status(thm),[c305, c2074])). 14.87/15.13 cnf(c11505,plain,product(skolem0001,skolem0005,inverse(skolem0006)),inference(resolution,status(thm),[c11478, c50])). 14.87/15.13 cnf(c11615,plain,product(inverse(skolem0005),inverse(skolem0006),skolem0001),inference(resolution,status(thm),[c11505, c257])). 14.87/15.13 cnf(c13738,plain,$false,inference(resolution,status(thm),[c11615, c15])). 14.87/15.13 # SZS output end CNFRefutation 14.87/15.13 14.87/15.13 # Initial clauses : 10 14.87/15.13 # Processed clauses : 387 14.87/15.13 # Factors computed : 4 14.87/15.13 # Resolvents computed: 13764 14.87/15.13 # Tautologies deleted: 10 14.87/15.13 # Forward subsumed : 875 14.87/15.13 # Backward subsumed : 11 14.87/15.13 # -------- CPU Time --------- 14.87/15.13 # User time : 14.769 s 14.87/15.13 # System time : 0.049 s 14.87/15.13 # Total time : 14.818 s 15.17/15.37 EOF