TSTP Solution File: GEO268+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 05:59:55 EDT 2022
% Result : Theorem 62.45s 62.63s
% Output : Refutation 62.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO268+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 12:23:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 62.45/62.63 # Version: 1.3
% 62.45/62.63 # SZS status Theorem
% 62.45/62.63 # SZS output start CNFRefutation
% 62.45/62.63 fof(con,conjecture,(![L]:(![M]:(unequally_directed_lines(L,M)<=>unequally_directed_opposite_lines(L,reverse_line(M))))),input).
% 62.45/62.63 fof(c0,negated_conjecture,(~(![L]:(![M]:(unequally_directed_lines(L,M)<=>unequally_directed_opposite_lines(L,reverse_line(M)))))),inference(assume_negation,status(cth),[con])).
% 62.45/62.63 fof(c1,negated_conjecture,(?[L]:(?[M]:((~unequally_directed_lines(L,M)|~unequally_directed_opposite_lines(L,reverse_line(M)))&(unequally_directed_lines(L,M)|unequally_directed_opposite_lines(L,reverse_line(M)))))),inference(fof_nnf,status(thm),[c0])).
% 62.45/62.63 fof(c2,negated_conjecture,(?[X2]:(?[X3]:((~unequally_directed_lines(X2,X3)|~unequally_directed_opposite_lines(X2,reverse_line(X3)))&(unequally_directed_lines(X2,X3)|unequally_directed_opposite_lines(X2,reverse_line(X3)))))),inference(variable_rename,status(thm),[c1])).
% 62.45/62.63 fof(c3,negated_conjecture,((~unequally_directed_lines(skolem0001,skolem0002)|~unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)))&(unequally_directed_lines(skolem0001,skolem0002)|unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)))),inference(skolemize,status(esa),[c2])).
% 62.45/62.63 cnf(c4,negated_conjecture,~unequally_directed_lines(skolem0001,skolem0002)|~unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 62.45/62.63 fof(a4_defns,axiom,(![X]:(![Y]:(equally_directed_lines(X,Y)<=>(~unequally_directed_lines(X,Y))))),input).
% 62.45/62.63 fof(c162,axiom,(![X]:(![Y]:(equally_directed_lines(X,Y)<=>~unequally_directed_lines(X,Y)))),inference(fof_simplification,status(thm),[a4_defns])).
% 62.45/62.63 fof(c163,axiom,(![X]:(![Y]:((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(unequally_directed_lines(X,Y)|equally_directed_lines(X,Y))))),inference(fof_nnf,status(thm),[c162])).
% 62.45/62.63 fof(c164,axiom,((![X]:(![Y]:(~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))))&(![X]:(![Y]:(unequally_directed_lines(X,Y)|equally_directed_lines(X,Y))))),inference(shift_quantors,status(thm),[c163])).
% 62.45/62.63 fof(c166,axiom,(![X97]:(![X98]:(![X99]:(![X100]:((~equally_directed_lines(X97,X98)|~unequally_directed_lines(X97,X98))&(unequally_directed_lines(X99,X100)|equally_directed_lines(X99,X100))))))),inference(shift_quantors,status(thm),[fof(c165,axiom,((![X97]:(![X98]:(~equally_directed_lines(X97,X98)|~unequally_directed_lines(X97,X98))))&(![X99]:(![X100]:(unequally_directed_lines(X99,X100)|equally_directed_lines(X99,X100))))),inference(variable_rename,status(thm),[c164])).])).
% 62.45/62.63 cnf(c167,axiom,~equally_directed_lines(X146,X145)|~unequally_directed_lines(X146,X145),inference(split_conjunct,status(thm),[c166])).
% 62.45/62.63 fof(ax5_basics,axiom,(![L]:equally_directed_lines(L,L)),input).
% 62.45/62.63 fof(c89,axiom,(![X56]:equally_directed_lines(X56,X56)),inference(variable_rename,status(thm),[ax5_basics])).
% 62.45/62.63 cnf(c90,axiom,equally_directed_lines(X117,X117),inference(split_conjunct,status(thm),[c89])).
% 62.45/62.63 cnf(c168,axiom,unequally_directed_lines(X148,X147)|equally_directed_lines(X148,X147),inference(split_conjunct,status(thm),[c166])).
% 62.45/62.63 fof(ax6_basics,axiom,(![L]:(![M]:(![N]:(unequally_directed_lines(L,M)=>(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),input).
% 62.45/62.63 fof(c84,axiom,(![L]:(![M]:(![N]:(~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(fof_nnf,status(thm),[ax6_basics])).
% 62.45/62.63 fof(c85,axiom,(![L]:(![M]:(~unequally_directed_lines(L,M)|(![N]:(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))))),inference(shift_quantors,status(thm),[c84])).
% 62.45/62.63 fof(c87,axiom,(![X53]:(![X54]:(![X55]:(~unequally_directed_lines(X53,X54)|(unequally_directed_lines(X53,X55)|unequally_directed_lines(X54,X55)))))),inference(shift_quantors,status(thm),[fof(c86,axiom,(![X53]:(![X54]:(~unequally_directed_lines(X53,X54)|(![X55]:(unequally_directed_lines(X53,X55)|unequally_directed_lines(X54,X55)))))),inference(variable_rename,status(thm),[c85])).])).
% 62.45/62.63 cnf(c88,axiom,~unequally_directed_lines(X343,X344)|unequally_directed_lines(X343,X345)|unequally_directed_lines(X344,X345),inference(split_conjunct,status(thm),[c87])).
% 62.45/62.63 cnf(c333,plain,unequally_directed_lines(X449,X448)|unequally_directed_lines(X447,X448)|equally_directed_lines(X449,X447),inference(resolution,status(thm),[c88, c168])).
% 62.45/62.63 cnf(c431,plain,unequally_directed_lines(X524,X522)|equally_directed_lines(X523,X524)|~equally_directed_lines(X523,X522),inference(resolution,status(thm),[c333, c167])).
% 62.45/62.63 cnf(c587,plain,unequally_directed_lines(X525,X526)|equally_directed_lines(X526,X525),inference(resolution,status(thm),[c431, c90])).
% 62.45/62.63 cnf(c5,negated_conjecture,unequally_directed_lines(skolem0001,skolem0002)|unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)),inference(split_conjunct,status(thm),[c3])).
% 62.45/62.63 cnf(c191,plain,~equally_directed_lines(skolem0001,skolem0002)|unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c167, c5])).
% 62.45/62.63 cnf(c644,plain,unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002))|unequally_directed_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c191, c587])).
% 62.45/62.63 cnf(c23006,plain,unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002))|~equally_directed_lines(skolem0002,skolem0001),inference(resolution,status(thm),[c644, c167])).
% 62.45/62.63 fof(a5_defns,axiom,(![X]:(![Y]:(equally_directed_opposite_lines(X,Y)<=>(~unequally_directed_opposite_lines(X,Y))))),input).
% 62.45/62.63 fof(c155,axiom,(![X]:(![Y]:(equally_directed_opposite_lines(X,Y)<=>~unequally_directed_opposite_lines(X,Y)))),inference(fof_simplification,status(thm),[a5_defns])).
% 62.45/62.63 fof(c156,axiom,(![X]:(![Y]:((~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))&(unequally_directed_opposite_lines(X,Y)|equally_directed_opposite_lines(X,Y))))),inference(fof_nnf,status(thm),[c155])).
% 62.45/62.63 fof(c157,axiom,((![X]:(![Y]:(~equally_directed_opposite_lines(X,Y)|~unequally_directed_opposite_lines(X,Y))))&(![X]:(![Y]:(unequally_directed_opposite_lines(X,Y)|equally_directed_opposite_lines(X,Y))))),inference(shift_quantors,status(thm),[c156])).
% 62.45/62.63 fof(c159,axiom,(![X93]:(![X94]:(![X95]:(![X96]:((~equally_directed_opposite_lines(X93,X94)|~unequally_directed_opposite_lines(X93,X94))&(unequally_directed_opposite_lines(X95,X96)|equally_directed_opposite_lines(X95,X96))))))),inference(shift_quantors,status(thm),[fof(c158,axiom,((![X93]:(![X94]:(~equally_directed_opposite_lines(X93,X94)|~unequally_directed_opposite_lines(X93,X94))))&(![X95]:(![X96]:(unequally_directed_opposite_lines(X95,X96)|equally_directed_opposite_lines(X95,X96))))),inference(variable_rename,status(thm),[c157])).])).
% 62.45/62.63 cnf(c160,axiom,~equally_directed_opposite_lines(X141,X142)|~unequally_directed_opposite_lines(X141,X142),inference(split_conjunct,status(thm),[c159])).
% 62.45/62.63 fof(a1_defns,axiom,(![X]:(![Y]:(unequally_directed_opposite_lines(X,Y)<=>unequally_directed_lines(X,reverse_line(Y))))),input).
% 62.45/62.63 fof(c181,axiom,(![X]:(![Y]:((~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))&(~unequally_directed_lines(X,reverse_line(Y))|unequally_directed_opposite_lines(X,Y))))),inference(fof_nnf,status(thm),[a1_defns])).
% 62.45/62.63 fof(c182,axiom,((![X]:(![Y]:(~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))))&(![X]:(![Y]:(~unequally_directed_lines(X,reverse_line(Y))|unequally_directed_opposite_lines(X,Y))))),inference(shift_quantors,status(thm),[c181])).
% 62.45/62.63 fof(c184,axiom,(![X109]:(![X110]:(![X111]:(![X112]:((~unequally_directed_opposite_lines(X109,X110)|unequally_directed_lines(X109,reverse_line(X110)))&(~unequally_directed_lines(X111,reverse_line(X112))|unequally_directed_opposite_lines(X111,X112))))))),inference(shift_quantors,status(thm),[fof(c183,axiom,((![X109]:(![X110]:(~unequally_directed_opposite_lines(X109,X110)|unequally_directed_lines(X109,reverse_line(X110)))))&(![X111]:(![X112]:(~unequally_directed_lines(X111,reverse_line(X112))|unequally_directed_opposite_lines(X111,X112))))),inference(variable_rename,status(thm),[c182])).])).
% 62.45/62.63 cnf(c186,axiom,~unequally_directed_lines(X184,reverse_line(X183))|unequally_directed_opposite_lines(X184,X183),inference(split_conjunct,status(thm),[c184])).
% 62.45/62.63 cnf(c436,plain,unequally_directed_lines(X1881,reverse_line(X1882))|equally_directed_lines(X1880,X1881)|unequally_directed_opposite_lines(X1880,X1882),inference(resolution,status(thm),[c333, c186])).
% 62.45/62.63 cnf(c7469,plain,equally_directed_lines(X2488,X2487)|unequally_directed_opposite_lines(X2488,X2489)|unequally_directed_opposite_lines(X2487,X2489),inference(resolution,status(thm),[c436, c186])).
% 62.45/62.63 cnf(c12950,plain,equally_directed_lines(X2868,X2869)|unequally_directed_opposite_lines(X2869,X2867)|~equally_directed_opposite_lines(X2868,X2867),inference(resolution,status(thm),[c7469, c160])).
% 62.45/62.63 fof(ax11_basics,axiom,(![L]:(![M]:(~(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 62.45/62.63 fof(c58,axiom,(![L]:(![M]:(~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M))))),inference(fof_nnf,status(thm),[ax11_basics])).
% 62.45/62.63 fof(c59,axiom,((![L]:(![M]:~left_convergent_lines(L,M)))&(![L]:(![M]:~left_convergent_lines(L,reverse_line(M))))),inference(shift_quantors,status(thm),[c58])).
% 62.45/62.63 fof(c61,axiom,(![X38]:(![X39]:(![X40]:(![X41]:(~left_convergent_lines(X38,X39)&~left_convergent_lines(X40,reverse_line(X41))))))),inference(shift_quantors,status(thm),[fof(c60,axiom,((![X38]:(![X39]:~left_convergent_lines(X38,X39)))&(![X40]:(![X41]:~left_convergent_lines(X40,reverse_line(X41))))),inference(variable_rename,status(thm),[c59])).])).
% 62.45/62.63 cnf(c62,axiom,~left_convergent_lines(X114,X113),inference(split_conjunct,status(thm),[c61])).
% 62.45/62.63 cnf(c185,axiom,~unequally_directed_opposite_lines(X178,X179)|unequally_directed_lines(X178,reverse_line(X179)),inference(split_conjunct,status(thm),[c184])).
% 62.45/62.63 fof(ax8_basics,axiom,(![L]:(![M]:(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),input).
% 62.45/62.63 fof(c73,axiom,(![X48]:(![X49]:(unequally_directed_lines(X48,X49)|unequally_directed_lines(X48,reverse_line(X49))))),inference(variable_rename,status(thm),[ax8_basics])).
% 62.45/62.63 cnf(c74,axiom,unequally_directed_lines(X166,X165)|unequally_directed_lines(X166,reverse_line(X165)),inference(split_conjunct,status(thm),[c73])).
% 62.45/62.63 cnf(c197,plain,unequally_directed_opposite_lines(X186,X185)|unequally_directed_lines(X186,X185),inference(resolution,status(thm),[c186, c74])).
% 62.45/62.63 cnf(c203,plain,unequally_directed_opposite_lines(X190,X189)|~equally_directed_lines(X190,X189),inference(resolution,status(thm),[c197, c167])).
% 62.45/62.63 cnf(c207,plain,unequally_directed_opposite_lines(X191,X191),inference(resolution,status(thm),[c203, c90])).
% 62.45/62.63 cnf(c210,plain,unequally_directed_lines(X198,reverse_line(X198)),inference(resolution,status(thm),[c207, c185])).
% 62.45/62.63 cnf(c161,axiom,unequally_directed_opposite_lines(X143,X144)|equally_directed_opposite_lines(X143,X144),inference(split_conjunct,status(thm),[c159])).
% 62.45/62.63 cnf(c195,plain,unequally_directed_lines(X250,reverse_line(X249))|equally_directed_opposite_lines(X250,X249),inference(resolution,status(thm),[c185, c161])).
% 62.45/62.63 fof(ax9_basics,axiom,(![L]:(![M]:((unequally_directed_lines(L,M)&unequally_directed_lines(L,reverse_line(M)))=>(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),input).
% 62.45/62.63 fof(c70,axiom,(![L]:(![M]:((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M)))))),inference(fof_nnf,status(thm),[ax9_basics])).
% 62.45/62.63 fof(c71,axiom,(![X46]:(![X47]:((~unequally_directed_lines(X46,X47)|~unequally_directed_lines(X46,reverse_line(X47)))|(left_convergent_lines(X46,X47)|left_convergent_lines(X46,reverse_line(X47)))))),inference(variable_rename,status(thm),[c70])).
% 62.45/62.63 cnf(c72,axiom,~unequally_directed_lines(X283,X284)|~unequally_directed_lines(X283,reverse_line(X284))|left_convergent_lines(X283,X284)|left_convergent_lines(X283,reverse_line(X284)),inference(split_conjunct,status(thm),[c71])).
% 62.45/62.63 cnf(c279,plain,~unequally_directed_lines(X748,X749)|left_convergent_lines(X748,X749)|left_convergent_lines(X748,reverse_line(X749))|equally_directed_opposite_lines(X748,X749),inference(resolution,status(thm),[c72, c195])).
% 62.45/62.63 cnf(c1287,plain,left_convergent_lines(X10174,reverse_line(X10174))|left_convergent_lines(X10174,reverse_line(reverse_line(X10174)))|equally_directed_opposite_lines(X10174,reverse_line(X10174)),inference(resolution,status(thm),[c279, c210])).
% 62.45/62.63 cnf(c77997,plain,left_convergent_lines(X10175,reverse_line(X10175))|equally_directed_opposite_lines(X10175,reverse_line(X10175)),inference(resolution,status(thm),[c1287, c62])).
% 62.45/62.63 cnf(c78068,plain,equally_directed_opposite_lines(X10176,reverse_line(X10176)),inference(resolution,status(thm),[c77997, c62])).
% 62.45/62.63 cnf(c78153,plain,equally_directed_lines(X10323,X10322)|unequally_directed_opposite_lines(X10322,reverse_line(X10323)),inference(resolution,status(thm),[c78068, c12950])).
% 62.45/62.63 cnf(c81201,plain,unequally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c78153, c23006])).
% 62.45/62.63 cnf(c81321,plain,~unequally_directed_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c81201, c4])).
% 62.45/62.63 cnf(c81320,plain,~equally_directed_opposite_lines(skolem0001,reverse_line(skolem0002)),inference(resolution,status(thm),[c81201, c160])).
% 62.45/62.63 cnf(c236,plain,equally_directed_opposite_lines(X280,X279)|~equally_directed_lines(X280,reverse_line(X279)),inference(resolution,status(thm),[c195, c167])).
% 62.45/62.63 cnf(c601,plain,unequally_directed_lines(reverse_line(X631),X632)|equally_directed_opposite_lines(X632,X631),inference(resolution,status(thm),[c587, c236])).
% 62.45/62.63 cnf(c859,plain,equally_directed_opposite_lines(X673,X672)|~equally_directed_lines(reverse_line(X672),X673),inference(resolution,status(thm),[c601, c167])).
% 62.45/62.63 cnf(c597,plain,equally_directed_lines(reverse_line(X620),X619)|unequally_directed_opposite_lines(X619,X620),inference(resolution,status(thm),[c587, c186])).
% 62.45/62.63 cnf(c813,plain,unequally_directed_opposite_lines(X5051,X5052)|unequally_directed_lines(X5050,X5051)|equally_directed_lines(reverse_line(X5052),X5050),inference(resolution,status(thm),[c597, c431])).
% 62.45/62.63 cnf(c30662,plain,unequally_directed_opposite_lines(X5068,X5070)|unequally_directed_lines(X5069,X5068)|equally_directed_opposite_lines(X5069,X5070),inference(resolution,status(thm),[c813, c859])).
% 62.45/62.63 cnf(c30719,plain,unequally_directed_lines(X5089,X5088)|equally_directed_opposite_lines(X5089,X5087)|~equally_directed_opposite_lines(X5088,X5087),inference(resolution,status(thm),[c30662, c160])).
% 62.45/62.63 cnf(c78159,plain,unequally_directed_lines(X10426,X10427)|equally_directed_opposite_lines(X10426,reverse_line(X10427)),inference(resolution,status(thm),[c78068, c30719])).
% 62.45/62.63 cnf(c84609,plain,unequally_directed_lines(skolem0001,skolem0002),inference(resolution,status(thm),[c78159, c81320])).
% 62.45/62.63 cnf(c84667,plain,$false,inference(resolution,status(thm),[c84609, c81321])).
% 62.45/62.63 # SZS output end CNFRefutation
% 62.45/62.63
% 62.45/62.63 # Initial clauses : 68
% 62.45/62.63 # Processed clauses : 1161
% 62.45/62.63 # Factors computed : 96
% 62.45/62.63 # Resolvents computed: 84408
% 62.45/62.63 # Tautologies deleted: 9
% 62.45/62.63 # Forward subsumed : 3614
% 62.45/62.63 # Backward subsumed : 128
% 62.45/62.63 # -------- CPU Time ---------
% 62.45/62.63 # User time : 62.086 s
% 62.45/62.63 # System time : 0.208 s
% 62.45/62.63 # Total time : 62.294 s
%------------------------------------------------------------------------------