TSTP Solution File: GRP001+6 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GRP001+6 : TPTP v8.1.0. 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 : 600s
% DateTime : Sat Jul 16 11:21:13 EDT 2022
% Result : Theorem 0.76s 0.93s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 14:39:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/0.93 # Version: 1.3
% 0.76/0.93 # SZS status Theorem
% 0.76/0.93 # SZS output start CNFRefutation
% 0.76/0.93 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)))))))),input).
% 0.76/0.93 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])).
% 0.76/0.93 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])).
% 0.76/0.93 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])).
% 0.76/0.93 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])).])).
% 0.76/0.93 cnf(c14,negated_conjecture,~product(skolem0004,skolem0003,skolem0005),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c12,negated_conjecture,product(X28,X28,skolem0001),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c13,negated_conjecture,product(skolem0003,skolem0004,skolem0005),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c9,negated_conjecture,product(skolem0001,X27,X27),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c6,negated_conjecture,~product(X33,X34,X37)|~product(X34,X36,X32)|~product(X37,X36,X35)|product(X33,X32,X35),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c15,plain,~product(X41,X42,skolem0001)|~product(X42,X39,X40)|product(X41,X40,X39),inference(resolution,status(thm),[c6, c9])).
% 0.76/0.93 cnf(c23,plain,~product(X110,skolem0003,skolem0001)|product(X110,skolem0005,skolem0004),inference(resolution,status(thm),[c15, c13])).
% 0.76/0.93 cnf(c192,plain,product(skolem0003,skolem0005,skolem0004),inference(resolution,status(thm),[c23, c12])).
% 0.76/0.93 cnf(c8,negated_conjecture,product(X26,skolem0001,X26),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c7,negated_conjecture,~product(X46,X47,X49)|~product(X47,X48,X45)|~product(X46,X45,X50)|product(X49,X48,X50),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c36,plain,~product(X163,X160,X161)|~product(X160,X162,skolem0001)|product(X161,X162,X163),inference(resolution,status(thm),[c7, c8])).
% 0.76/0.93 cnf(c422,plain,~product(X200,X201,X199)|product(X199,X201,X200),inference(resolution,status(thm),[c36, c12])).
% 0.76/0.93 cnf(c671,plain,product(skolem0004,skolem0005,skolem0003),inference(resolution,status(thm),[c422, c192])).
% 0.76/0.93 cnf(c11,negated_conjecture,product(inverse(X38),X38,skolem0001),inference(split_conjunct,status(thm),[c4])).
% 0.76/0.93 cnf(c22,plain,~product(X43,skolem0001,skolem0001)|product(X43,X44,X44),inference(resolution,status(thm),[c15, c9])).
% 0.76/0.93 cnf(c30,plain,product(inverse(skolem0001),X54,X54),inference(resolution,status(thm),[c22, c11])).
% 0.76/0.93 cnf(c41,plain,~product(X207,X208,inverse(skolem0001))|~product(X208,X205,X206)|product(X207,X206,X205),inference(resolution,status(thm),[c30, c6])).
% 0.76/0.93 cnf(c656,plain,product(X211,X211,inverse(skolem0001)),inference(resolution,status(thm),[c422, c30])).
% 0.76/0.93 cnf(c712,plain,~product(X297,X298,X299)|product(X297,X299,X298),inference(resolution,status(thm),[c656, c41])).
% 0.76/0.93 cnf(c1284,plain,product(skolem0004,skolem0003,skolem0005),inference(resolution,status(thm),[c712, c671])).
% 0.76/0.93 cnf(c1438,plain,$false,inference(resolution,status(thm),[c1284, c14])).
% 0.76/0.93 # SZS output end CNFRefutation
% 0.76/0.93
% 0.76/0.93 # Initial clauses : 10
% 0.76/0.93 # Processed clauses : 97
% 0.76/0.93 # Factors computed : 6
% 0.76/0.93 # Resolvents computed: 1430
% 0.76/0.93 # Tautologies deleted: 5
% 0.76/0.93 # Forward subsumed : 122
% 0.76/0.93 # Backward subsumed : 1
% 0.76/0.93 # -------- CPU Time ---------
% 0.76/0.93 # User time : 0.554 s
% 0.76/0.93 # System time : 0.020 s
% 0.76/0.93 # Total time : 0.574 s
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