TSTP Solution File: GRP012+5 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 : Sat Jul 16 11:21:18 EDT 2022
% Result : Theorem 2.19s 2.41s
% Output : Refutation 2.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 13:47:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.19/2.41 # Version: 1.3
% 2.19/2.41 # SZS status Theorem
% 2.19/2.41 # SZS output start CNFRefutation
% 2.19/2.41 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)))))))),input).
% 2.19/2.41 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])).
% 2.19/2.41 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])).
% 2.19/2.41 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])).
% 2.19/2.41 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])).])).
% 2.19/2.41 cnf(c14,negated_conjecture,~product(inverse(skolem0005),inverse(skolem0006),skolem0001),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c9,negated_conjecture,product(skolem0001,X27,X27),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c8,negated_conjecture,product(X26,skolem0001,X26),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c7,negated_conjecture,~product(X48,X45,X49)|~product(X45,X46,X50)|~product(X48,X50,X47)|product(X49,X46,X47),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c28,plain,~product(X119,X118,X120)|~product(X118,X121,skolem0001)|product(X120,X121,X119),inference(resolution,status(thm),[c7, c8])).
% 2.19/2.41 cnf(c257,plain,~product(X185,skolem0001,X184)|product(X184,skolem0001,X185),inference(resolution,status(thm),[c28, c9])).
% 2.19/2.41 cnf(c31,plain,~product(skolem0001,X142,X144)|~product(X142,X145,X143)|product(X144,X145,X143),inference(resolution,status(thm),[c7, c9])).
% 2.19/2.41 cnf(c346,plain,~product(skolem0001,X217,X218)|product(X218,skolem0001,X217),inference(resolution,status(thm),[c31, c8])).
% 2.19/2.41 cnf(c10,negated_conjecture,product(X30,inverse(X30),skolem0001),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c255,plain,~product(X157,X156,X155)|product(X155,inverse(X156),X157),inference(resolution,status(thm),[c28, c10])).
% 2.19/2.41 cnf(c13,negated_conjecture,product(skolem0004,skolem0003,skolem0006),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c458,plain,product(skolem0006,inverse(skolem0003),skolem0004),inference(resolution,status(thm),[c255, c13])).
% 2.19/2.41 cnf(c12,negated_conjecture,product(inverse(skolem0003),inverse(skolem0004),skolem0005),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c6,negated_conjecture,~product(X33,X32,X34)|~product(X32,X35,X37)|~product(X34,X35,X36)|product(X33,X37,X36),inference(split_conjunct,status(thm),[c4])).
% 2.19/2.41 cnf(c18,plain,~product(X79,X77,X80)|~product(X77,inverse(X80),X78)|product(X79,X78,skolem0001),inference(resolution,status(thm),[c6, c10])).
% 2.19/2.41 cnf(c110,plain,~product(X558,inverse(skolem0003),skolem0004)|product(X558,skolem0005,skolem0001),inference(resolution,status(thm),[c18, c12])).
% 2.19/2.41 cnf(c4365,plain,product(skolem0006,skolem0005,skolem0001),inference(resolution,status(thm),[c110, c458])).
% 2.19/2.41 cnf(c4376,plain,product(skolem0001,inverse(skolem0005),skolem0006),inference(resolution,status(thm),[c4365, c255])).
% 2.19/2.41 cnf(c4406,plain,product(skolem0006,skolem0001,inverse(skolem0005)),inference(resolution,status(thm),[c4376, c346])).
% 2.19/2.41 cnf(c4434,plain,product(inverse(skolem0005),skolem0001,skolem0006),inference(resolution,status(thm),[c4406, c257])).
% 2.19/2.41 cnf(c114,plain,~product(X567,skolem0001,X566)|product(X567,inverse(X566),skolem0001),inference(resolution,status(thm),[c18, c9])).
% 2.19/2.41 cnf(c4613,plain,product(inverse(skolem0005),inverse(skolem0006),skolem0001),inference(resolution,status(thm),[c114, c4434])).
% 2.19/2.41 cnf(c5896,plain,$false,inference(resolution,status(thm),[c4613, c14])).
% 2.19/2.41 # SZS output end CNFRefutation
% 2.19/2.41
% 2.19/2.41 # Initial clauses : 10
% 2.19/2.41 # Processed clauses : 225
% 2.19/2.41 # Factors computed : 4
% 2.19/2.41 # Resolvents computed: 5896
% 2.19/2.41 # Tautologies deleted: 12
% 2.19/2.41 # Forward subsumed : 325
% 2.19/2.41 # Backward subsumed : 5
% 2.19/2.41 # -------- CPU Time ---------
% 2.19/2.41 # User time : 2.025 s
% 2.19/2.41 # System time : 0.028 s
% 2.19/2.41 # Total time : 2.053 s
%------------------------------------------------------------------------------