TSTP Solution File: GEO174+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 05:58:52 EDT 2022
% Result : Theorem 3.84s 4.00s
% Output : Refutation 3.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.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 : Sat Jun 18 11:15:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.84/4.00 # Version: 1.3
% 3.84/4.00 # SZS status Theorem
% 3.84/4.00 # SZS output start CNFRefutation
% 3.84/4.00 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 3.84/4.00 fof(c23,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 3.84/4.00 fof(c24,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c23])).
% 3.84/4.00 fof(c25,axiom,((![X]:(![Y]:(~parallel_lines(X,Y)|~convergent_lines(X,Y))))&(![X]:(![Y]:(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(shift_quantors,status(thm),[c24])).
% 3.84/4.00 fof(c27,axiom,(![X14]:(![X15]:(![X16]:(![X17]:((~parallel_lines(X14,X15)|~convergent_lines(X14,X15))&(convergent_lines(X16,X17)|parallel_lines(X16,X17))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X14]:(![X15]:(~parallel_lines(X14,X15)|~convergent_lines(X14,X15))))&(![X16]:(![X17]:(convergent_lines(X16,X17)|parallel_lines(X16,X17))))),inference(variable_rename,status(thm),[c25])).])).
% 3.84/4.00 cnf(c28,axiom,~parallel_lines(X121,X120)|~convergent_lines(X121,X120),inference(split_conjunct,status(thm),[c27])).
% 3.84/4.00 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 3.84/4.00 fof(c30,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 3.84/4.00 fof(c31,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c30])).
% 3.84/4.00 fof(c32,axiom,((![X]:(![Y]:(~equal_lines(X,Y)|~distinct_lines(X,Y))))&(![X]:(![Y]:(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(shift_quantors,status(thm),[c31])).
% 3.84/4.00 fof(c34,axiom,(![X18]:(![X19]:(![X20]:(![X21]:((~equal_lines(X18,X19)|~distinct_lines(X18,X19))&(distinct_lines(X20,X21)|equal_lines(X20,X21))))))),inference(shift_quantors,status(thm),[fof(c33,axiom,((![X18]:(![X19]:(~equal_lines(X18,X19)|~distinct_lines(X18,X19))))&(![X20]:(![X21]:(distinct_lines(X20,X21)|equal_lines(X20,X21))))),inference(variable_rename,status(thm),[c32])).])).
% 3.84/4.00 cnf(c36,axiom,distinct_lines(X131,X132)|equal_lines(X131,X132),inference(split_conjunct,status(thm),[c34])).
% 3.84/4.00 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 3.84/4.00 fof(c103,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 3.84/4.00 fof(c104,axiom,(![X62]:(![X63]:(~distinct_lines(X62,X63)|convergent_lines(X62,X63)))),inference(variable_rename,status(thm),[c103])).
% 3.84/4.00 cnf(c105,axiom,~distinct_lines(X162,X163)|convergent_lines(X162,X163),inference(split_conjunct,status(thm),[c104])).
% 3.84/4.00 cnf(c194,plain,convergent_lines(X188,X187)|equal_lines(X188,X187),inference(resolution,status(thm),[c105, c36])).
% 3.84/4.00 cnf(c209,plain,equal_lines(X200,X199)|~parallel_lines(X200,X199),inference(resolution,status(thm),[c194, c28])).
% 3.84/4.00 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 3.84/4.00 fof(c100,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 3.84/4.00 fof(c101,axiom,(![X60]:(![X61]:~convergent_lines(parallel_through_point(X61,X60),X61))),inference(variable_rename,status(thm),[c100])).
% 3.84/4.00 cnf(c102,axiom,~convergent_lines(parallel_through_point(X106,X107),X106),inference(split_conjunct,status(thm),[c101])).
% 3.84/4.00 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 3.84/4.00 fof(c155,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 3.84/4.00 fof(c156,axiom,(![X94]:~convergent_lines(X94,X94)),inference(variable_rename,status(thm),[c155])).
% 3.84/4.00 cnf(c157,axiom,~convergent_lines(X97,X97),inference(split_conjunct,status(thm),[c156])).
% 3.84/4.00 cnf(c29,axiom,convergent_lines(X125,X124)|parallel_lines(X125,X124),inference(split_conjunct,status(thm),[c27])).
% 3.84/4.00 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 3.84/4.00 fof(c106,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 3.84/4.00 fof(c107,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c106])).
% 3.84/4.00 fof(c109,axiom,(![X64]:(![X65]:(![X66]:(~convergent_lines(X64,X65)|(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(shift_quantors,status(thm),[fof(c108,axiom,(![X64]:(![X65]:(~convergent_lines(X64,X65)|(![X66]:(distinct_lines(X65,X66)|convergent_lines(X64,X66)))))),inference(variable_rename,status(thm),[c107])).])).
% 3.84/4.00 cnf(c110,axiom,~convergent_lines(X317,X319)|distinct_lines(X319,X318)|convergent_lines(X317,X318),inference(split_conjunct,status(thm),[c109])).
% 3.84/4.00 cnf(c358,plain,distinct_lines(X880,X879)|convergent_lines(X881,X879)|parallel_lines(X881,X880),inference(resolution,status(thm),[c110, c29])).
% 3.84/4.00 cnf(c1307,plain,distinct_lines(X884,X885)|parallel_lines(X885,X884),inference(resolution,status(thm),[c358, c157])).
% 3.84/4.00 cnf(c1349,plain,parallel_lines(X899,X900)|convergent_lines(X900,X899),inference(resolution,status(thm),[c1307, c105])).
% 3.84/4.00 cnf(c1431,plain,parallel_lines(X911,parallel_through_point(X911,X910)),inference(resolution,status(thm),[c1349, c102])).
% 3.84/4.00 cnf(c1450,plain,equal_lines(X915,parallel_through_point(X915,X914)),inference(resolution,status(thm),[c1431, c209])).
% 3.84/4.00 cnf(c35,axiom,~equal_lines(X127,X128)|~distinct_lines(X127,X128),inference(split_conjunct,status(thm),[c34])).
% 3.84/4.00 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 3.84/4.00 fof(c97,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 3.84/4.00 fof(c98,axiom,(![X58]:(![X59]:~apart_point_and_line(X58,parallel_through_point(X59,X58)))),inference(variable_rename,status(thm),[c97])).
% 3.84/4.00 cnf(c99,axiom,~apart_point_and_line(X105,parallel_through_point(X104,X105)),inference(split_conjunct,status(thm),[c98])).
% 3.84/4.00 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 3.84/4.00 fof(c16,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 3.84/4.00 fof(c17,axiom,(![X]:(![Y]:((~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))&(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(fof_nnf,status(thm),[c16])).
% 3.84/4.00 fof(c18,axiom,((![X]:(![Y]:(~incident_point_and_line(X,Y)|~apart_point_and_line(X,Y))))&(![X]:(![Y]:(apart_point_and_line(X,Y)|incident_point_and_line(X,Y))))),inference(shift_quantors,status(thm),[c17])).
% 3.84/4.00 fof(c20,axiom,(![X10]:(![X11]:(![X12]:(![X13]:((~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))&(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))))),inference(shift_quantors,status(thm),[fof(c19,axiom,((![X10]:(![X11]:(~incident_point_and_line(X10,X11)|~apart_point_and_line(X10,X11))))&(![X12]:(![X13]:(apart_point_and_line(X12,X13)|incident_point_and_line(X12,X13))))),inference(variable_rename,status(thm),[c18])).])).
% 3.84/4.00 cnf(c22,axiom,apart_point_and_line(X116,X117)|incident_point_and_line(X116,X117),inference(split_conjunct,status(thm),[c20])).
% 3.84/4.00 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 3.84/4.00 fof(c111,axiom,(![X]:(![Y]:(![Z]:(~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(fof_nnf,status(thm),[ceq2])).
% 3.84/4.00 fof(c112,axiom,(![X]:(![Y]:(~apart_point_and_line(X,Y)|(![Z]:(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),inference(shift_quantors,status(thm),[c111])).
% 3.84/4.00 fof(c114,axiom,(![X67]:(![X68]:(![X69]:(~apart_point_and_line(X67,X68)|(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(shift_quantors,status(thm),[fof(c113,axiom,(![X67]:(![X68]:(~apart_point_and_line(X67,X68)|(![X69]:(distinct_lines(X68,X69)|apart_point_and_line(X67,X69)))))),inference(variable_rename,status(thm),[c112])).])).
% 3.84/4.00 cnf(c115,axiom,~apart_point_and_line(X322,X321)|distinct_lines(X321,X323)|apart_point_and_line(X322,X323),inference(split_conjunct,status(thm),[c114])).
% 3.84/4.00 cnf(c388,plain,distinct_lines(X1473,X1474)|apart_point_and_line(X1475,X1474)|incident_point_and_line(X1475,X1473),inference(resolution,status(thm),[c115, c22])).
% 3.84/4.00 cnf(c3558,plain,distinct_lines(X2290,parallel_through_point(X2291,X2292))|incident_point_and_line(X2292,X2290),inference(resolution,status(thm),[c388, c99])).
% 3.84/4.00 cnf(c8136,plain,incident_point_and_line(X3055,X3054)|~equal_lines(X3054,parallel_through_point(X3056,X3055)),inference(resolution,status(thm),[c3558, c35])).
% 3.84/4.00 cnf(c12988,plain,incident_point_and_line(X3057,X3058),inference(resolution,status(thm),[c8136, c1450])).
% 3.84/4.00 cnf(c21,axiom,~incident_point_and_line(X115,X114)|~apart_point_and_line(X115,X114),inference(split_conjunct,status(thm),[c20])).
% 3.84/4.00 fof(con,conjecture,(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))=>distinct_lines(U,line_connecting(X,Y))))))),input).
% 3.84/4.00 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![U]:(![V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))=>distinct_lines(U,line_connecting(X,Y)))))))),inference(assume_negation,status(cth),[con])).
% 3.84/4.00 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[U]:(?[V]:(((distinct_points(X,Y)&convergent_lines(U,V))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y))))))),inference(fof_nnf,status(thm),[c0])).
% 3.84/4.00 fof(c2,negated_conjecture,(?[X]:(?[Y]:(?[U]:(((distinct_points(X,Y)&(?[V]:convergent_lines(U,V)))&(apart_point_and_line(X,U)|apart_point_and_line(Y,U)))&~distinct_lines(U,line_connecting(X,Y)))))),inference(shift_quantors,status(thm),[c1])).
% 3.84/4.00 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((distinct_points(X2,X3)&(?[X5]:convergent_lines(X4,X5)))&(apart_point_and_line(X2,X4)|apart_point_and_line(X3,X4)))&~distinct_lines(X4,line_connecting(X2,X3)))))),inference(variable_rename,status(thm),[c2])).
% 3.84/4.00 fof(c4,negated_conjecture,(((distinct_points(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0004))&(apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003)))&~distinct_lines(skolem0003,line_connecting(skolem0001,skolem0002))),inference(skolemize,status(esa),[c3])).
% 3.84/4.00 cnf(c7,negated_conjecture,apart_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c4])).
% 3.84/4.00 cnf(c166,plain,~incident_point_and_line(skolem0001,skolem0003)|apart_point_and_line(skolem0002,skolem0003),inference(resolution,status(thm),[c21, c7])).
% 3.84/4.00 cnf(c13013,plain,apart_point_and_line(skolem0002,skolem0003),inference(resolution,status(thm),[c12988, c166])).
% 3.84/4.00 cnf(c13212,plain,~incident_point_and_line(skolem0002,skolem0003),inference(resolution,status(thm),[c13013, c21])).
% 3.84/4.00 cnf(c13216,plain,$false,inference(resolution,status(thm),[c13212, c12988])).
% 3.84/4.00 # SZS output end CNFRefutation
% 3.84/4.00
% 3.84/4.00 # Initial clauses : 50
% 3.84/4.00 # Processed clauses : 551
% 3.84/4.00 # Factors computed : 51
% 3.84/4.00 # Resolvents computed: 13002
% 3.84/4.00 # Tautologies deleted: 12
% 3.84/4.00 # Forward subsumed : 1126
% 3.84/4.00 # Backward subsumed : 74
% 3.84/4.00 # -------- CPU Time ---------
% 3.84/4.00 # User time : 3.615 s
% 3.84/4.00 # System time : 0.034 s
% 3.84/4.00 # Total time : 3.649 s
%------------------------------------------------------------------------------