TSTP Solution File: NUN065+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUN065+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 16:37:24 EDT 2022
% Result : Theorem 282.46s 282.79s
% Output : Refutation 282.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN065+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 11:10:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 282.46/282.79 # Version: 1.3
% 282.46/282.79 # SZS status Theorem
% 282.46/282.79 # SZS output start CNFRefutation
% 282.46/282.79 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).
% 282.46/282.79 fof(c38,axiom,(![X24]:(![X25]:(?[X26]:((?[X27]:(id(X27,X26)&(?[X28]:(r2(X25,X28)&r4(X24,X28,X27)))))&(?[X29]:(r3(X29,X24,X26)&r4(X24,X25,X29))))))),inference(variable_rename,status(thm),[axiom_2a])).
% 282.46/282.79 fof(c39,axiom,(![X24]:(![X25]:((id(skolem0013(X24,X25),skolem0012(X24,X25))&(r2(X25,skolem0014(X24,X25))&r4(X24,skolem0014(X24,X25),skolem0013(X24,X25))))&(r3(skolem0015(X24,X25),X24,skolem0012(X24,X25))&r4(X24,X25,skolem0015(X24,X25)))))),inference(skolemize,status(esa),[c38])).
% 282.46/282.79 cnf(c41,axiom,r2(X81,skolem0014(X80,X81)),inference(split_conjunct,status(thm),[c39])).
% 282.46/282.79 fof(axiom_7a,axiom,(![X7]:(![Y10]:((![Y20]:((~id(Y20,Y10))|(~r1(Y20))))|(~r2(X7,Y10))))),input).
% 282.46/282.79 fof(c12,axiom,(![X7]:(![Y10]:((![Y20]:(~id(Y20,Y10)|~r1(Y20)))|~r2(X7,Y10)))),inference(fof_simplification,status(thm),[axiom_7a])).
% 282.46/282.79 fof(c14,axiom,(![X6]:(![X7]:(![X8]:((~id(X8,X7)|~r1(X8))|~r2(X6,X7))))),inference(shift_quantors,status(thm),[fof(c13,axiom,(![X6]:(![X7]:((![X8]:(~id(X8,X7)|~r1(X8)))|~r2(X6,X7)))),inference(variable_rename,status(thm),[c12])).])).
% 282.46/282.79 cnf(c15,axiom,~id(X116,X118)|~r1(X116)|~r2(X117,X118),inference(split_conjunct,status(thm),[c14])).
% 282.46/282.79 cnf(c153,plain,~id(X288,skolem0014(X286,X287))|~r1(X288),inference(resolution,status(thm),[c15, c41])).
% 282.46/282.79 fof(axiom_2,axiom,(![X11]:(?[Y21]:(![X12]:((id(X12,Y21)&r2(X11,X12))|((~r2(X11,X12))&(~id(X12,Y21))))))),input).
% 282.46/282.79 fof(c104,axiom,(![X11]:(?[Y21]:(![X12]:((id(X12,Y21)&r2(X11,X12))|(~r2(X11,X12)&~id(X12,Y21)))))),inference(fof_simplification,status(thm),[axiom_2])).
% 282.46/282.79 fof(c105,axiom,(![X68]:(?[X69]:(![X70]:((id(X70,X69)&r2(X68,X70))|(~r2(X68,X70)&~id(X70,X69)))))),inference(variable_rename,status(thm),[c104])).
% 282.46/282.79 fof(c106,axiom,(![X68]:(![X70]:((id(X70,skolem0022(X68))&r2(X68,X70))|(~r2(X68,X70)&~id(X70,skolem0022(X68)))))),inference(skolemize,status(esa),[c105])).
% 282.46/282.79 fof(c107,axiom,(![X68]:(![X70]:(((id(X70,skolem0022(X68))|~r2(X68,X70))&(id(X70,skolem0022(X68))|~id(X70,skolem0022(X68))))&((r2(X68,X70)|~r2(X68,X70))&(r2(X68,X70)|~id(X70,skolem0022(X68))))))),inference(distribute,status(thm),[c106])).
% 282.46/282.79 cnf(c108,axiom,id(X217,skolem0022(X216))|~r2(X216,X217),inference(split_conjunct,status(thm),[c107])).
% 282.46/282.79 cnf(c284,plain,id(skolem0014(X226,X227),skolem0022(X227)),inference(resolution,status(thm),[c108, c41])).
% 282.46/282.79 fof(axiom_5,axiom,(![X20]:id(X20,X20)),input).
% 282.46/282.79 fof(c86,axiom,(![X59]:id(X59,X59)),inference(variable_rename,status(thm),[axiom_5])).
% 282.46/282.79 cnf(c87,axiom,id(X73,X73),inference(split_conjunct,status(thm),[c86])).
% 282.46/282.79 cnf(c111,axiom,r2(X242,X243)|~id(X243,skolem0022(X242)),inference(split_conjunct,status(thm),[c107])).
% 282.46/282.79 cnf(c300,plain,r2(X244,skolem0022(X244)),inference(resolution,status(thm),[c111, c87])).
% 282.46/282.79 cnf(c303,plain,~id(X258,skolem0022(X257))|~r1(X258),inference(resolution,status(thm),[c300, c15])).
% 282.46/282.79 cnf(c312,plain,~r1(skolem0014(X260,X261)),inference(resolution,status(thm),[c303, c284])).
% 282.46/282.79 fof(axiom_6,axiom,(![X21]:(![X22]:((~id(X21,X22))|id(X22,X21)))),input).
% 282.46/282.79 fof(c83,axiom,(![X21]:(![X22]:(~id(X21,X22)|id(X22,X21)))),inference(fof_simplification,status(thm),[axiom_6])).
% 282.46/282.79 fof(c84,axiom,(![X57]:(![X58]:(~id(X57,X58)|id(X58,X57)))),inference(variable_rename,status(thm),[c83])).
% 282.46/282.79 cnf(c85,axiom,~id(X91,X90)|id(X90,X91),inference(split_conjunct,status(thm),[c84])).
% 282.46/282.79 fof(axiom_6a,axiom,(![X6]:((?[Y19]:(id(X6,Y19)&r1(Y19)))|(?[Y1]:(?[Y11]:(id(X6,Y11)&r2(Y1,Y11)))))),input).
% 282.46/282.79 fof(c16,axiom,(![X9]:((?[X10]:(id(X9,X10)&r1(X10)))|(?[X11]:(?[X12]:(id(X9,X12)&r2(X11,X12)))))),inference(variable_rename,status(thm),[axiom_6a])).
% 282.46/282.79 fof(c17,axiom,(![X9]:((id(X9,skolem0004(X9))&r1(skolem0004(X9)))|(id(X9,skolem0006(X9))&r2(skolem0005(X9),skolem0006(X9))))),inference(skolemize,status(esa),[c16])).
% 282.46/282.79 fof(c18,axiom,(![X9]:(((id(X9,skolem0004(X9))|id(X9,skolem0006(X9)))&(id(X9,skolem0004(X9))|r2(skolem0005(X9),skolem0006(X9))))&((r1(skolem0004(X9))|id(X9,skolem0006(X9)))&(r1(skolem0004(X9))|r2(skolem0005(X9),skolem0006(X9)))))),inference(distribute,status(thm),[c17])).
% 282.46/282.79 cnf(c21,axiom,r1(skolem0004(X139))|id(X139,skolem0006(X139)),inference(split_conjunct,status(thm),[c18])).
% 282.46/282.79 cnf(c19,axiom,id(X126,skolem0004(X126))|id(X126,skolem0006(X126)),inference(split_conjunct,status(thm),[c18])).
% 282.46/282.79 fof(axiom_8,axiom,(![X26]:(![X27]:(((~id(X26,X27))|((~r1(X26))&(~r1(X27))))|(r1(X26)&r1(X27))))),input).
% 282.46/282.79 fof(c73,axiom,(![X26]:(![X27]:((~id(X26,X27)|(~r1(X26)&~r1(X27)))|(r1(X26)&r1(X27))))),inference(fof_simplification,status(thm),[axiom_8])).
% 282.46/282.79 fof(c74,axiom,(![X52]:(![X53]:((~id(X52,X53)|(~r1(X52)&~r1(X53)))|(r1(X52)&r1(X53))))),inference(variable_rename,status(thm),[c73])).
% 282.46/282.79 fof(c75,axiom,(![X52]:(![X53]:((((~id(X52,X53)|~r1(X52))|r1(X52))&((~id(X52,X53)|~r1(X52))|r1(X53)))&(((~id(X52,X53)|~r1(X53))|r1(X52))&((~id(X52,X53)|~r1(X53))|r1(X53)))))),inference(distribute,status(thm),[c74])).
% 282.46/282.79 cnf(c78,axiom,~id(X186,X185)|~r1(X185)|r1(X186),inference(split_conjunct,status(thm),[c75])).
% 282.46/282.79 cnf(c247,plain,~r1(skolem0004(X681))|r1(X681)|id(X681,skolem0006(X681)),inference(resolution,status(thm),[c78, c19])).
% 282.46/282.79 cnf(c2336,plain,r1(X682)|id(X682,skolem0006(X682)),inference(resolution,status(thm),[c247, c21])).
% 282.46/282.79 cnf(c2400,plain,r1(X684)|id(skolem0006(X684),X684),inference(resolution,status(thm),[c2336, c85])).
% 282.46/282.79 cnf(c2424,plain,id(skolem0006(skolem0014(X6145,X6144)),skolem0014(X6145,X6144)),inference(resolution,status(thm),[c2400, c312])).
% 282.46/282.79 cnf(c64455,plain,~r1(skolem0006(skolem0014(X6147,X6148))),inference(resolution,status(thm),[c2424, c153])).
% 282.46/282.79 fof(axiom_1,axiom,(?[Y24]:(![X19]:((id(X19,Y24)&r1(X19))|((~r1(X19))&(~id(X19,Y24)))))),input).
% 282.46/282.79 fof(c112,axiom,(?[Y24]:(![X19]:((id(X19,Y24)&r1(X19))|(~r1(X19)&~id(X19,Y24))))),inference(fof_simplification,status(thm),[axiom_1])).
% 282.46/282.79 fof(c113,axiom,(?[X71]:(![X72]:((id(X72,X71)&r1(X72))|(~r1(X72)&~id(X72,X71))))),inference(variable_rename,status(thm),[c112])).
% 282.46/282.79 fof(c114,axiom,(![X72]:((id(X72,skolem0023)&r1(X72))|(~r1(X72)&~id(X72,skolem0023)))),inference(skolemize,status(esa),[c113])).
% 282.46/282.79 fof(c115,axiom,(![X72]:(((id(X72,skolem0023)|~r1(X72))&(id(X72,skolem0023)|~id(X72,skolem0023)))&((r1(X72)|~r1(X72))&(r1(X72)|~id(X72,skolem0023))))),inference(distribute,status(thm),[c114])).
% 282.46/282.79 cnf(c119,axiom,r1(X110)|~id(X110,skolem0023),inference(split_conjunct,status(thm),[c115])).
% 282.46/282.79 fof(axiom_7,axiom,(![X23]:(![X24]:(![X25]:(((~id(X23,X24))|id(X23,X25))|(~id(X24,X25)))))),input).
% 282.46/282.79 fof(c80,axiom,(![X23]:(![X24]:(![X25]:((~id(X23,X24)|id(X23,X25))|~id(X24,X25))))),inference(fof_simplification,status(thm),[axiom_7])).
% 282.46/282.79 fof(c81,axiom,(![X54]:(![X55]:(![X56]:((~id(X54,X55)|id(X54,X56))|~id(X55,X56))))),inference(variable_rename,status(thm),[c80])).
% 282.46/282.79 cnf(c82,axiom,~id(X338,X337)|id(X338,X339)|~id(X337,X339),inference(split_conjunct,status(thm),[c81])).
% 282.46/282.79 cnf(c116,axiom,id(X98,skolem0023)|~r1(X98),inference(split_conjunct,status(thm),[c115])).
% 282.46/282.79 cnf(c314,plain,~r1(skolem0022(X259)),inference(resolution,status(thm),[c303, c87])).
% 282.46/282.79 fof(nononesexistid,conjecture,(?[Y1]:((![Y2]:((![Y3]:((~r1(Y3))|(~r2(Y3,Y2))))|(~id(Y1,Y2))))&(![Y4]:((~id(Y1,Y4))|(~r1(Y4)))))),input).
% 282.46/282.79 fof(c0,negated_conjecture,(~(?[Y1]:((![Y2]:((![Y3]:((~r1(Y3))|(~r2(Y3,Y2))))|(~id(Y1,Y2))))&(![Y4]:((~id(Y1,Y4))|(~r1(Y4))))))),inference(assume_negation,status(cth),[nononesexistid])).
% 282.46/282.79 fof(c1,negated_conjecture,(~(?[Y1]:((![Y2]:((![Y3]:(~r1(Y3)|~r2(Y3,Y2)))|~id(Y1,Y2)))&(![Y4]:(~id(Y1,Y4)|~r1(Y4)))))),inference(fof_simplification,status(thm),[c0])).
% 282.46/282.79 fof(c2,negated_conjecture,(![Y1]:((?[Y2]:((?[Y3]:(r1(Y3)&r2(Y3,Y2)))&id(Y1,Y2)))|(?[Y4]:(id(Y1,Y4)&r1(Y4))))),inference(fof_nnf,status(thm),[c1])).
% 282.46/282.79 fof(c3,negated_conjecture,(![X2]:((?[X3]:((?[X4]:(r1(X4)&r2(X4,X3)))&id(X2,X3)))|(?[X5]:(id(X2,X5)&r1(X5))))),inference(variable_rename,status(thm),[c2])).
% 282.46/282.79 fof(c4,negated_conjecture,(![X2]:(((r1(skolem0002(X2))&r2(skolem0002(X2),skolem0001(X2)))&id(X2,skolem0001(X2)))|(id(X2,skolem0003(X2))&r1(skolem0003(X2))))),inference(skolemize,status(esa),[c3])).
% 282.46/282.79 fof(c5,negated_conjecture,(![X2]:((((r1(skolem0002(X2))|id(X2,skolem0003(X2)))&(r1(skolem0002(X2))|r1(skolem0003(X2))))&((r2(skolem0002(X2),skolem0001(X2))|id(X2,skolem0003(X2)))&(r2(skolem0002(X2),skolem0001(X2))|r1(skolem0003(X2)))))&((id(X2,skolem0001(X2))|id(X2,skolem0003(X2)))&(id(X2,skolem0001(X2))|r1(skolem0003(X2)))))),inference(distribute,status(thm),[c4])).
% 282.46/282.79 cnf(c7,negated_conjecture,r1(skolem0002(X87))|r1(skolem0003(X87)),inference(split_conjunct,status(thm),[c5])).
% 282.46/282.79 cnf(c6,negated_conjecture,r1(skolem0002(X78))|id(X78,skolem0003(X78)),inference(split_conjunct,status(thm),[c5])).
% 282.46/282.79 cnf(c250,plain,~r1(skolem0003(X687))|r1(X687)|r1(skolem0002(X687)),inference(resolution,status(thm),[c78, c6])).
% 282.46/282.79 cnf(c2482,plain,r1(X688)|r1(skolem0002(X688)),inference(resolution,status(thm),[c250, c7])).
% 282.46/282.79 cnf(c2500,plain,r1(skolem0002(skolem0022(X689))),inference(resolution,status(thm),[c2482, c314])).
% 282.46/282.79 cnf(c2530,plain,id(skolem0002(skolem0022(X702)),skolem0023),inference(resolution,status(thm),[c2500, c116])).
% 282.46/282.79 cnf(c2586,plain,~id(X12032,skolem0002(skolem0022(X12033)))|id(X12032,skolem0023),inference(resolution,status(thm),[c2530, c82])).
% 282.46/282.79 cnf(c11,negated_conjecture,id(X113,skolem0001(X113))|r1(skolem0003(X113)),inference(split_conjunct,status(thm),[c5])).
% 282.46/282.79 cnf(c10,negated_conjecture,id(X108,skolem0001(X108))|id(X108,skolem0003(X108)),inference(split_conjunct,status(thm),[c5])).
% 282.46/282.79 cnf(c255,plain,~r1(skolem0003(X712))|r1(X712)|id(X712,skolem0001(X712)),inference(resolution,status(thm),[c78, c10])).
% 282.46/282.79 cnf(c2642,plain,r1(X713)|id(X713,skolem0001(X713)),inference(resolution,status(thm),[c255, c11])).
% 282.46/282.79 cnf(c2676,plain,r1(X715)|id(skolem0001(X715),X715),inference(resolution,status(thm),[c2642, c85])).
% 282.46/282.79 cnf(c2693,plain,id(skolem0001(skolem0022(X838)),skolem0022(X838)),inference(resolution,status(thm),[c2676, c314])).
% 282.46/282.79 fof(axiom_3a,axiom,(![X3]:(![X10]:((![Y12]:((![Y13]:((~id(Y13,Y12))|(~r2(X3,Y13))))|(~r2(X10,Y12))))|id(X3,X10)))),input).
% 282.46/282.79 fof(c34,axiom,(![X3]:(![X10]:((![Y12]:((![Y13]:(~id(Y13,Y12)|~r2(X3,Y13)))|~r2(X10,Y12)))|id(X3,X10)))),inference(fof_simplification,status(thm),[axiom_3a])).
% 282.46/282.79 fof(c36,axiom,(![X20]:(![X21]:(![X22]:(![X23]:(((~id(X23,X22)|~r2(X20,X23))|~r2(X21,X22))|id(X20,X21)))))),inference(shift_quantors,status(thm),[fof(c35,axiom,(![X20]:(![X21]:((![X22]:((![X23]:(~id(X23,X22)|~r2(X20,X23)))|~r2(X21,X22)))|id(X20,X21)))),inference(variable_rename,status(thm),[c34])).])).
% 282.46/282.79 cnf(c37,axiom,~id(X150,X151)|~r2(X152,X150)|~r2(X149,X151)|id(X152,X149),inference(split_conjunct,status(thm),[c36])).
% 282.46/282.79 cnf(c301,plain,~id(X979,skolem0022(X981))|~r2(X980,X979)|id(X980,X981),inference(resolution,status(thm),[c300, c37])).
% 282.46/282.79 cnf(c3761,plain,~r2(X7389,skolem0001(skolem0022(X7390)))|id(X7389,X7390),inference(resolution,status(thm),[c301, c2693])).
% 282.46/282.79 cnf(c9,negated_conjecture,r2(skolem0002(X102),skolem0001(X102))|r1(skolem0003(X102)),inference(split_conjunct,status(thm),[c5])).
% 282.46/282.79 cnf(c8,negated_conjecture,r2(skolem0002(X95),skolem0001(X95))|id(X95,skolem0003(X95)),inference(split_conjunct,status(thm),[c5])).
% 282.46/282.79 cnf(c125,plain,r2(skolem0002(X408),skolem0001(X408))|id(skolem0003(X408),X408),inference(resolution,status(thm),[c8, c85])).
% 282.46/282.79 cnf(c556,plain,r2(skolem0002(skolem0022(X2437)),skolem0001(skolem0022(X2437)))|~r1(skolem0003(skolem0022(X2437))),inference(resolution,status(thm),[c125, c303])).
% 282.46/282.79 cnf(c12811,plain,r2(skolem0002(skolem0022(X12676)),skolem0001(skolem0022(X12676))),inference(resolution,status(thm),[c556, c9])).
% 282.46/282.79 cnf(c144274,plain,id(skolem0002(skolem0022(X12677)),X12677),inference(resolution,status(thm),[c12811, c3761])).
% 282.46/282.79 cnf(c144425,plain,id(X12678,skolem0002(skolem0022(X12678))),inference(resolution,status(thm),[c144274, c85])).
% 282.46/282.79 cnf(c144555,plain,id(X12681,skolem0023),inference(resolution,status(thm),[c144425, c2586])).
% 282.46/282.79 cnf(c144735,plain,r1(X12682),inference(resolution,status(thm),[c144555, c119])).
% 282.46/282.79 cnf(c144736,plain,$false,inference(resolution,status(thm),[c144735, c64455])).
% 282.46/282.79 # SZS output end CNFRefutation
% 282.46/282.79
% 282.46/282.79 # Initial clauses : 64
% 282.46/282.79 # Processed clauses : 3109
% 282.46/282.79 # Factors computed : 0
% 282.46/282.79 # Resolvents computed: 144677
% 282.46/282.79 # Tautologies deleted: 30
% 282.46/282.79 # Forward subsumed : 6271
% 282.46/282.79 # Backward subsumed : 1368
% 282.46/282.79 # -------- CPU Time ---------
% 282.46/282.79 # User time : 281.975 s
% 282.46/282.79 # System time : 0.322 s
% 282.46/282.79 # Total time : 282.297 s
%------------------------------------------------------------------------------