TSTP Solution File: NUN081+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 : Mon Jul 18 16:37:27 EDT 2022
% Result : Theorem 11.58s 11.74s
% Output : Refutation 11.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN081+1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 03:47:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.58/11.74 # Version: 1.3
% 11.58/11.74 # SZS status Theorem
% 11.58/11.74 # SZS output start CNFRefutation
% 11.58/11.74 fof(axiom_4a,axiom,(![X4]:(?[Y9]:(id(Y9,X4)&(?[Y16]:(r1(Y16)&r3(X4,Y16,Y9)))))),input).
% 11.58/11.74 fof(c22,axiom,(![X20]:(?[X21]:(id(X21,X20)&(?[X22]:(r1(X22)&r3(X20,X22,X21)))))),inference(variable_rename,status(thm),[axiom_4a])).
% 11.58/11.74 fof(c23,axiom,(![X20]:(id(skolem0007(X20),X20)&(r1(skolem0008(X20))&r3(X20,skolem0008(X20),skolem0007(X20))))),inference(skolemize,status(esa),[c22])).
% 11.58/11.74 cnf(c24,axiom,id(skolem0007(X80),X80),inference(split_conjunct,status(thm),[c23])).
% 11.58/11.74 fof(axiom_6,axiom,(![X21]:(![X22]:((~id(X21,X22))|id(X22,X21)))),input).
% 11.58/11.74 fof(c76,axiom,(![X21]:(![X22]:(~id(X21,X22)|id(X22,X21)))),inference(fof_simplification,status(thm),[axiom_6])).
% 11.58/11.74 fof(c77,axiom,(![X60]:(![X61]:(~id(X60,X61)|id(X61,X60)))),inference(variable_rename,status(thm),[c76])).
% 11.58/11.74 cnf(c78,axiom,~id(X102,X101)|id(X101,X102),inference(split_conjunct,status(thm),[c77])).
% 11.58/11.74 cnf(c118,plain,id(X104,skolem0007(X104)),inference(resolution,status(thm),[c78, c24])).
% 11.58/11.74 fof(axiom_8,axiom,(![X26]:(![X27]:(((~id(X26,X27))|((~r1(X26))&(~r1(X27))))|(r1(X26)&r1(X27))))),input).
% 11.58/11.75 fof(c66,axiom,(![X26]:(![X27]:((~id(X26,X27)|(~r1(X26)&~r1(X27)))|(r1(X26)&r1(X27))))),inference(fof_simplification,status(thm),[axiom_8])).
% 11.58/11.75 fof(c67,axiom,(![X55]:(![X56]:((~id(X55,X56)|(~r1(X55)&~r1(X56)))|(r1(X55)&r1(X56))))),inference(variable_rename,status(thm),[c66])).
% 11.58/11.75 fof(c68,axiom,(![X55]:(![X56]:((((~id(X55,X56)|~r1(X55))|r1(X55))&((~id(X55,X56)|~r1(X55))|r1(X56)))&(((~id(X55,X56)|~r1(X56))|r1(X55))&((~id(X55,X56)|~r1(X56))|r1(X56)))))),inference(distribute,status(thm),[c67])).
% 11.58/11.75 cnf(c70,axiom,~id(X142,X143)|~r1(X142)|r1(X143),inference(split_conjunct,status(thm),[c68])).
% 11.58/11.75 cnf(c154,plain,~r1(X145)|r1(skolem0007(X145)),inference(resolution,status(thm),[c70, c118])).
% 11.58/11.75 cnf(c25,axiom,r1(skolem0008(X79)),inference(split_conjunct,status(thm),[c23])).
% 11.58/11.75 cnf(c172,plain,r1(skolem0007(skolem0008(X148))),inference(resolution,status(thm),[c154, c25])).
% 11.58/11.75 cnf(c178,plain,r1(skolem0007(skolem0007(skolem0008(X171)))),inference(resolution,status(thm),[c172, c154])).
% 11.58/11.75 fof(axiom_6a,axiom,(![X6]:((?[Y19]:(id(X6,Y19)&r1(Y19)))|(?[Y1]:(?[Y11]:(id(X6,Y11)&r2(Y1,Y11)))))),input).
% 11.58/11.75 fof(c9,axiom,(![X12]:((?[X13]:(id(X12,X13)&r1(X13)))|(?[X14]:(?[X15]:(id(X12,X15)&r2(X14,X15)))))),inference(variable_rename,status(thm),[axiom_6a])).
% 11.58/11.75 fof(c10,axiom,(![X12]:((id(X12,skolem0001(X12))&r1(skolem0001(X12)))|(id(X12,skolem0003(X12))&r2(skolem0002(X12),skolem0003(X12))))),inference(skolemize,status(esa),[c9])).
% 11.58/11.75 fof(c11,axiom,(![X12]:(((id(X12,skolem0001(X12))|id(X12,skolem0003(X12)))&(id(X12,skolem0001(X12))|r2(skolem0002(X12),skolem0003(X12))))&((r1(skolem0001(X12))|id(X12,skolem0003(X12)))&(r1(skolem0001(X12))|r2(skolem0002(X12),skolem0003(X12)))))),inference(distribute,status(thm),[c10])).
% 11.58/11.75 cnf(c14,axiom,r1(skolem0001(X119))|id(X119,skolem0003(X119)),inference(split_conjunct,status(thm),[c11])).
% 11.58/11.75 fof(axiom_7a,axiom,(![X7]:(![Y10]:((![Y20]:((~id(Y20,Y10))|(~r1(Y20))))|(~r2(X7,Y10))))),input).
% 11.58/11.75 fof(c5,axiom,(![X7]:(![Y10]:((![Y20]:(~id(Y20,Y10)|~r1(Y20)))|~r2(X7,Y10)))),inference(fof_simplification,status(thm),[axiom_7a])).
% 11.58/11.75 fof(c7,axiom,(![X9]:(![X10]:(![X11]:((~id(X11,X10)|~r1(X11))|~r2(X9,X10))))),inference(shift_quantors,status(thm),[fof(c6,axiom,(![X9]:(![X10]:((![X11]:(~id(X11,X10)|~r1(X11)))|~r2(X9,X10)))),inference(variable_rename,status(thm),[c5])).])).
% 11.58/11.75 cnf(c8,axiom,~id(X97,X96)|~r1(X97)|~r2(X98,X96),inference(split_conjunct,status(thm),[c7])).
% 11.58/11.75 cnf(c15,axiom,r1(skolem0001(X124))|r2(skolem0002(X124),skolem0003(X124)),inference(split_conjunct,status(thm),[c11])).
% 11.58/11.75 cnf(c142,plain,r1(skolem0001(X433))|~id(X434,skolem0003(X433))|~r1(X434),inference(resolution,status(thm),[c15, c8])).
% 11.58/11.75 cnf(c654,plain,r1(skolem0001(X435))|~r1(X435),inference(resolution,status(thm),[c142, c14])).
% 11.58/11.75 cnf(c668,plain,r1(skolem0001(skolem0007(skolem0007(skolem0008(X1924))))),inference(resolution,status(thm),[c654, c178])).
% 11.58/11.75 fof(axiom_2a,axiom,(![X2]:(![X9]:(?[Y2]:((?[Y3]:(id(Y3,Y2)&(?[Y14]:(r2(X9,Y14)&r4(X2,Y14,Y3)))))&(?[Y6]:(r3(Y6,X2,Y2)&r4(X2,X9,Y6))))))),input).
% 11.58/11.75 fof(c31,axiom,(![X27]:(![X28]:(?[X29]:((?[X30]:(id(X30,X29)&(?[X31]:(r2(X28,X31)&r4(X27,X31,X30)))))&(?[X32]:(r3(X32,X27,X29)&r4(X27,X28,X32))))))),inference(variable_rename,status(thm),[axiom_2a])).
% 11.58/11.75 fof(c32,axiom,(![X27]:(![X28]:((id(skolem0010(X27,X28),skolem0009(X27,X28))&(r2(X28,skolem0011(X27,X28))&r4(X27,skolem0011(X27,X28),skolem0010(X27,X28))))&(r3(skolem0012(X27,X28),X27,skolem0009(X27,X28))&r4(X27,X28,skolem0012(X27,X28)))))),inference(skolemize,status(esa),[c31])).
% 11.58/11.75 cnf(c34,axiom,r2(X90,skolem0011(X89,X90)),inference(split_conjunct,status(thm),[c32])).
% 11.58/11.75 fof(axiom_2,axiom,(![X11]:(?[Y21]:(![X12]:((id(X12,Y21)&r2(X11,X12))|((~r2(X11,X12))&(~id(X12,Y21))))))),input).
% 11.58/11.75 fof(c97,axiom,(![X11]:(?[Y21]:(![X12]:((id(X12,Y21)&r2(X11,X12))|(~r2(X11,X12)&~id(X12,Y21)))))),inference(fof_simplification,status(thm),[axiom_2])).
% 11.58/11.75 fof(c98,axiom,(![X71]:(?[X72]:(![X73]:((id(X73,X72)&r2(X71,X73))|(~r2(X71,X73)&~id(X73,X72)))))),inference(variable_rename,status(thm),[c97])).
% 11.58/11.75 fof(c99,axiom,(![X71]:(![X73]:((id(X73,skolem0019(X71))&r2(X71,X73))|(~r2(X71,X73)&~id(X73,skolem0019(X71)))))),inference(skolemize,status(esa),[c98])).
% 11.58/11.75 fof(c100,axiom,(![X71]:(![X73]:(((id(X73,skolem0019(X71))|~r2(X71,X73))&(id(X73,skolem0019(X71))|~id(X73,skolem0019(X71))))&((r2(X71,X73)|~r2(X71,X73))&(r2(X71,X73)|~id(X73,skolem0019(X71))))))),inference(distribute,status(thm),[c99])).
% 11.58/11.75 cnf(c101,axiom,id(X244,skolem0019(X245))|~r2(X245,X244),inference(split_conjunct,status(thm),[c100])).
% 11.58/11.75 cnf(c258,plain,id(skolem0011(X248,X249),skolem0019(X249)),inference(resolution,status(thm),[c101, c34])).
% 11.58/11.75 fof(axiom_1a,axiom,(![X1]:(![X8]:(?[Y4]:((?[Y5]:(id(Y5,Y4)&(?[Y15]:(r2(X8,Y15)&r3(X1,Y15,Y5)))))&(?[Y7]:(r2(Y7,Y4)&r3(X1,X8,Y7))))))),input).
% 11.58/11.75 fof(c38,axiom,(![X33]:(![X34]:(?[X35]:((?[X36]:(id(X36,X35)&(?[X37]:(r2(X34,X37)&r3(X33,X37,X36)))))&(?[X38]:(r2(X38,X35)&r3(X33,X34,X38))))))),inference(variable_rename,status(thm),[axiom_1a])).
% 11.58/11.75 fof(c39,axiom,(![X33]:(![X34]:((id(skolem0014(X33,X34),skolem0013(X33,X34))&(r2(X34,skolem0015(X33,X34))&r3(X33,skolem0015(X33,X34),skolem0014(X33,X34))))&(r2(skolem0016(X33,X34),skolem0013(X33,X34))&r3(X33,X34,skolem0016(X33,X34)))))),inference(skolemize,status(esa),[c38])).
% 11.58/11.75 cnf(c41,axiom,r2(X91,skolem0015(X92,X91)),inference(split_conjunct,status(thm),[c39])).
% 11.58/11.75 cnf(c255,plain,id(skolem0015(X247,X246),skolem0019(X246)),inference(resolution,status(thm),[c101, c41])).
% 11.58/11.75 fof(axiom_9,axiom,(![X28]:(![X29]:(![X30]:(![X31]:((((~id(X28,X30))|(~id(X29,X31)))|((~r2(X28,X29))&(~r2(X30,X31))))|(r2(X28,X29)&r2(X30,X31))))))),input).
% 11.58/11.75 fof(c59,axiom,(![X28]:(![X29]:(![X30]:(![X31]:(((~id(X28,X30)|~id(X29,X31))|(~r2(X28,X29)&~r2(X30,X31)))|(r2(X28,X29)&r2(X30,X31))))))),inference(fof_simplification,status(thm),[axiom_9])).
% 11.58/11.75 fof(c60,axiom,(![X51]:(![X52]:(![X53]:(![X54]:(((~id(X51,X53)|~id(X52,X54))|(~r2(X51,X52)&~r2(X53,X54)))|(r2(X51,X52)&r2(X53,X54))))))),inference(variable_rename,status(thm),[c59])).
% 11.58/11.75 fof(c61,axiom,(![X51]:(![X52]:(![X53]:(![X54]:(((((~id(X51,X53)|~id(X52,X54))|~r2(X51,X52))|r2(X51,X52))&(((~id(X51,X53)|~id(X52,X54))|~r2(X51,X52))|r2(X53,X54)))&((((~id(X51,X53)|~id(X52,X54))|~r2(X53,X54))|r2(X51,X52))&(((~id(X51,X53)|~id(X52,X54))|~r2(X53,X54))|r2(X53,X54)))))))),inference(distribute,status(thm),[c60])).
% 11.58/11.75 cnf(c63,axiom,~id(X280,X279)|~id(X277,X278)|~r2(X280,X277)|r2(X279,X278),inference(split_conjunct,status(thm),[c61])).
% 11.58/11.75 cnf(c282,plain,~id(X879,X881)|~id(skolem0015(X880,X879),X882)|r2(X881,X882),inference(resolution,status(thm),[c63, c41])).
% 11.58/11.75 cnf(c1915,plain,~id(X903,X904)|r2(X904,skolem0019(X903)),inference(resolution,status(thm),[c282, c255])).
% 11.58/11.75 cnf(c2007,plain,r2(skolem0019(X2387),skolem0019(skolem0011(X2388,X2387))),inference(resolution,status(thm),[c1915, c258])).
% 11.58/11.75 fof(axiom_5,axiom,(![X20]:id(X20,X20)),input).
% 11.58/11.75 fof(c79,axiom,(![X62]:id(X62,X62)),inference(variable_rename,status(thm),[axiom_5])).
% 11.58/11.75 cnf(c80,axiom,id(X76,X76),inference(split_conjunct,status(thm),[c79])).
% 11.58/11.75 cnf(c104,axiom,r2(X265,X264)|~id(X264,skolem0019(X265)),inference(split_conjunct,status(thm),[c100])).
% 11.58/11.75 cnf(c273,plain,r2(X270,skolem0019(X270)),inference(resolution,status(thm),[c104, c80])).
% 11.58/11.75 fof(axiom_7,axiom,(![X23]:(![X24]:(![X25]:(((~id(X23,X24))|id(X23,X25))|(~id(X24,X25)))))),input).
% 11.58/11.75 fof(c73,axiom,(![X23]:(![X24]:(![X25]:((~id(X23,X24)|id(X23,X25))|~id(X24,X25))))),inference(fof_simplification,status(thm),[axiom_7])).
% 11.58/11.75 fof(c74,axiom,(![X57]:(![X58]:(![X59]:((~id(X57,X58)|id(X57,X59))|~id(X58,X59))))),inference(variable_rename,status(thm),[c73])).
% 11.58/11.75 cnf(c75,axiom,~id(X316,X318)|id(X316,X317)|~id(X318,X317),inference(split_conjunct,status(thm),[c74])).
% 11.58/11.75 cnf(c315,plain,~id(X380,X381)|id(X380,skolem0007(X381)),inference(resolution,status(thm),[c75, c118])).
% 11.58/11.75 cnf(c403,plain,id(X383,skolem0007(skolem0007(X383))),inference(resolution,status(thm),[c315, c118])).
% 11.58/11.75 cnf(c432,plain,id(skolem0007(skolem0007(X385)),X385),inference(resolution,status(thm),[c403, c78])).
% 11.58/11.75 cnf(c436,plain,r2(X538,skolem0007(skolem0007(skolem0019(X538)))),inference(resolution,status(thm),[c432, c104])).
% 11.58/11.75 fof(xplusyidthree,conjecture,(?[Y1]:(?[Y2]:(?[Y3]:(r3(Y1,Y2,Y3)&(?[Y4]:(id(Y3,Y4)&(?[Y5]:(r2(Y5,Y4)&(?[Y6]:(r2(Y6,Y5)&(?[Y7]:(r1(Y7)&r2(Y7,Y6))))))))))))),input).
% 11.58/11.75 fof(c0,negated_conjecture,(~(?[Y1]:(?[Y2]:(?[Y3]:(r3(Y1,Y2,Y3)&(?[Y4]:(id(Y3,Y4)&(?[Y5]:(r2(Y5,Y4)&(?[Y6]:(r2(Y6,Y5)&(?[Y7]:(r1(Y7)&r2(Y7,Y6)))))))))))))),inference(assume_negation,status(cth),[xplusyidthree])).
% 11.58/11.75 fof(c1,negated_conjecture,(![Y1]:(![Y2]:(![Y3]:(~r3(Y1,Y2,Y3)|(![Y4]:(~id(Y3,Y4)|(![Y5]:(~r2(Y5,Y4)|(![Y6]:(~r2(Y6,Y5)|(![Y7]:(~r1(Y7)|~r2(Y7,Y6))))))))))))),inference(fof_nnf,status(thm),[c0])).
% 11.58/11.75 fof(c3,negated_conjecture,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(![X8]:(~r3(X2,X3,X4)|(~id(X4,X5)|(~r2(X6,X5)|(~r2(X7,X6)|(~r1(X8)|~r2(X8,X7))))))))))))),inference(shift_quantors,status(thm),[fof(c2,negated_conjecture,(![X2]:(![X3]:(![X4]:(~r3(X2,X3,X4)|(![X5]:(~id(X4,X5)|(![X6]:(~r2(X6,X5)|(![X7]:(~r2(X7,X6)|(![X8]:(~r1(X8)|~r2(X8,X7))))))))))))),inference(variable_rename,status(thm),[c1])).])).
% 11.58/11.75 cnf(c4,negated_conjecture,~r3(X84,X87,X81)|~id(X81,X83)|~r2(X82,X83)|~r2(X86,X82)|~r1(X85)|~r2(X85,X86),inference(split_conjunct,status(thm),[c3])).
% 11.58/11.75 cnf(c26,axiom,r3(X129,skolem0008(X129),skolem0007(X129)),inference(split_conjunct,status(thm),[c23])).
% 11.58/11.75 cnf(c145,plain,~id(skolem0007(X439),X443)|~r2(X442,X443)|~r2(X441,X442)|~r1(X440)|~r2(X440,X441),inference(resolution,status(thm),[c26, c4])).
% 11.58/11.75 cnf(c702,plain,~r2(X2999,skolem0007(skolem0007(X2998)))|~r2(X3001,X2999)|~r1(X3000)|~r2(X3000,X3001),inference(resolution,status(thm),[c145, c118])).
% 11.58/11.75 cnf(c14538,plain,~r2(X3726,X3725)|~r1(X3727)|~r2(X3727,X3726),inference(resolution,status(thm),[c702, c436])).
% 11.58/11.75 cnf(c17586,plain,~r2(skolem0019(X3728),X3729)|~r1(X3728),inference(resolution,status(thm),[c14538, c273])).
% 11.58/11.75 cnf(c17603,plain,~r1(X3730),inference(resolution,status(thm),[c17586, c2007])).
% 11.58/11.75 cnf(c17622,plain,$false,inference(resolution,status(thm),[c17603, c668])).
% 11.58/11.75 # SZS output end CNFRefutation
% 11.58/11.75
% 11.58/11.75 # Initial clauses : 59
% 11.58/11.75 # Processed clauses : 910
% 11.58/11.75 # Factors computed : 40
% 11.58/11.75 # Resolvents computed: 17588
% 11.58/11.75 # Tautologies deleted: 23
% 11.58/11.75 # Forward subsumed : 1551
% 11.58/11.75 # Backward subsumed : 123
% 11.58/11.75 # -------- CPU Time ---------
% 11.58/11.75 # User time : 11.352 s
% 11.58/11.75 # System time : 0.046 s
% 11.58/11.75 # Total time : 11.398 s
%------------------------------------------------------------------------------