TSTP Solution File: GEO195+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 05:59:08 EDT 2022
% Result : Theorem 13.79s 14.08s
% Output : Refutation 13.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n027.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 05:02:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 13.79/14.08 # Version: 1.3
% 13.79/14.08 # SZS status Theorem
% 13.79/14.08 # SZS output start CNFRefutation
% 13.79/14.08 fof(con,conjecture,(![X]:(![Y]:(![Z]:(((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))=>(apart_point_and_line(intersection_point(X,Y),Z)=>apart_point_and_line(intersection_point(Y,X),Z)))))),input).
% 13.79/14.08 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))=>(apart_point_and_line(intersection_point(X,Y),Z)=>apart_point_and_line(intersection_point(Y,X),Z))))))),inference(assume_negation,status(cth),[con])).
% 13.79/14.08 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(((convergent_lines(X,Y)&convergent_lines(Z,Y))&convergent_lines(X,Z))&(apart_point_and_line(intersection_point(X,Y),Z)&~apart_point_and_line(intersection_point(Y,X),Z)))))),inference(fof_nnf,status(thm),[c0])).
% 13.79/14.08 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(((convergent_lines(X2,X3)&convergent_lines(X4,X3))&convergent_lines(X2,X4))&(apart_point_and_line(intersection_point(X2,X3),X4)&~apart_point_and_line(intersection_point(X3,X2),X4)))))),inference(variable_rename,status(thm),[c1])).
% 13.79/14.08 fof(c3,negated_conjecture,(((convergent_lines(skolem0001,skolem0002)&convergent_lines(skolem0003,skolem0002))&convergent_lines(skolem0001,skolem0003))&(apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003)&~apart_point_and_line(intersection_point(skolem0002,skolem0001),skolem0003))),inference(skolemize,status(esa),[c2])).
% 13.79/14.08 cnf(c7,negated_conjecture,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(split_conjunct,status(thm),[c3])).
% 13.79/14.08 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 13.79/14.08 fof(c16,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 13.79/14.08 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])).
% 13.79/14.08 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])).
% 13.79/14.08 fof(c20,axiom,(![X9]:(![X10]:(![X11]:(![X12]:((~incident_point_and_line(X9,X10)|~apart_point_and_line(X9,X10))&(apart_point_and_line(X11,X12)|incident_point_and_line(X11,X12))))))),inference(shift_quantors,status(thm),[fof(c19,axiom,((![X9]:(![X10]:(~incident_point_and_line(X9,X10)|~apart_point_and_line(X9,X10))))&(![X11]:(![X12]:(apart_point_and_line(X11,X12)|incident_point_and_line(X11,X12))))),inference(variable_rename,status(thm),[c18])).])).
% 13.79/14.08 cnf(c21,axiom,~incident_point_and_line(X114,X113)|~apart_point_and_line(X114,X113),inference(split_conjunct,status(thm),[c20])).
% 13.79/14.08 cnf(c166,plain,~incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(resolution,status(thm),[c21, c7])).
% 13.79/14.08 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 13.79/14.08 fof(c23,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 13.79/14.08 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])).
% 13.79/14.08 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])).
% 13.79/14.08 fof(c27,axiom,(![X13]:(![X14]:(![X15]:(![X16]:((~parallel_lines(X13,X14)|~convergent_lines(X13,X14))&(convergent_lines(X15,X16)|parallel_lines(X15,X16))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X13]:(![X14]:(~parallel_lines(X13,X14)|~convergent_lines(X13,X14))))&(![X15]:(![X16]:(convergent_lines(X15,X16)|parallel_lines(X15,X16))))),inference(variable_rename,status(thm),[c25])).])).
% 13.79/14.08 cnf(c28,axiom,~parallel_lines(X122,X121)|~convergent_lines(X122,X121),inference(split_conjunct,status(thm),[c27])).
% 13.79/14.08 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 13.79/14.08 fof(c30,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 13.79/14.08 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])).
% 13.79/14.08 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])).
% 13.79/14.08 fof(c34,axiom,(![X17]:(![X18]:(![X19]:(![X20]:((~equal_lines(X17,X18)|~distinct_lines(X17,X18))&(distinct_lines(X19,X20)|equal_lines(X19,X20))))))),inference(shift_quantors,status(thm),[fof(c33,axiom,((![X17]:(![X18]:(~equal_lines(X17,X18)|~distinct_lines(X17,X18))))&(![X19]:(![X20]:(distinct_lines(X19,X20)|equal_lines(X19,X20))))),inference(variable_rename,status(thm),[c32])).])).
% 13.79/14.08 cnf(c36,axiom,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,status(thm),[c34])).
% 13.79/14.08 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 13.79/14.08 fof(c103,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 13.79/14.08 fof(c104,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c103])).
% 13.79/14.08 cnf(c105,axiom,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,status(thm),[c104])).
% 13.79/14.08 cnf(c201,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,status(thm),[c105, c36])).
% 13.79/14.08 cnf(c218,plain,equal_lines(X201,X202)|~parallel_lines(X201,X202),inference(resolution,status(thm),[c201, c28])).
% 13.79/14.08 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 13.79/14.08 fof(c155,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 13.79/14.08 fof(c156,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c155])).
% 13.79/14.08 cnf(c157,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c156])).
% 13.79/14.08 cnf(c29,axiom,convergent_lines(X123,X124)|parallel_lines(X123,X124),inference(split_conjunct,status(thm),[c27])).
% 13.79/14.08 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 13.79/14.08 fof(c106,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 13.79/14.08 fof(c107,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c106])).
% 13.79/14.08 fof(c109,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c108,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c107])).])).
% 13.79/14.08 cnf(c110,axiom,~convergent_lines(X281,X282)|distinct_lines(X282,X280)|convergent_lines(X281,X280),inference(split_conjunct,status(thm),[c109])).
% 13.79/14.08 cnf(c372,plain,distinct_lines(X1027,X1026)|convergent_lines(X1025,X1026)|parallel_lines(X1025,X1027),inference(resolution,status(thm),[c110, c29])).
% 13.79/14.08 cnf(c1991,plain,distinct_lines(X1031,X1030)|parallel_lines(X1030,X1031),inference(resolution,status(thm),[c372, c157])).
% 13.79/14.08 cnf(c2039,plain,parallel_lines(X1062,X1061)|convergent_lines(X1061,X1062),inference(resolution,status(thm),[c1991, c105])).
% 13.79/14.08 cnf(c2197,plain,convergent_lines(X1106,X1105)|equal_lines(X1105,X1106),inference(resolution,status(thm),[c2039, c218])).
% 13.79/14.08 cnf(c2480,plain,equal_lines(X1180,X1179)|~parallel_lines(X1179,X1180),inference(resolution,status(thm),[c2197, c28])).
% 13.79/14.08 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 13.79/14.08 fof(c100,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 13.79/14.08 fof(c101,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c100])).
% 13.79/14.08 cnf(c102,axiom,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,status(thm),[c101])).
% 13.79/14.08 cnf(c216,plain,equal_lines(parallel_through_point(X193,X192),X193),inference(resolution,status(thm),[c201, c102])).
% 13.79/14.08 cnf(c35,axiom,~equal_lines(X129,X128)|~distinct_lines(X129,X128),inference(split_conjunct,status(thm),[c34])).
% 13.79/14.08 cnf(c2038,plain,parallel_lines(X1042,X1041)|~equal_lines(X1041,X1042),inference(resolution,status(thm),[c1991, c35])).
% 13.79/14.08 cnf(c2088,plain,parallel_lines(X1045,parallel_through_point(X1045,X1044)),inference(resolution,status(thm),[c2038, c216])).
% 13.79/14.08 cnf(c2108,plain,equal_lines(X1050,parallel_through_point(X1050,X1051)),inference(resolution,status(thm),[c2088, c218])).
% 13.79/14.08 cnf(c1963,plain,distinct_lines(X2996,X2995)|parallel_lines(parallel_through_point(X2995,X2994),X2996),inference(resolution,status(thm),[c372, c102])).
% 13.79/14.08 cnf(c22980,plain,parallel_lines(parallel_through_point(X3591,X3590),X3589)|~equal_lines(X3589,X3591),inference(resolution,status(thm),[c1963, c35])).
% 13.79/14.08 cnf(c30875,plain,parallel_lines(parallel_through_point(parallel_through_point(X3596,X3594),X3595),X3596),inference(resolution,status(thm),[c22980, c2108])).
% 13.79/14.08 cnf(c30890,plain,equal_lines(X3600,parallel_through_point(parallel_through_point(X3600,X3601),X3602)),inference(resolution,status(thm),[c30875, c2480])).
% 13.79/14.08 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 13.79/14.08 fof(c97,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 13.79/14.08 fof(c98,axiom,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,status(thm),[c97])).
% 13.79/14.08 cnf(c99,axiom,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,status(thm),[c98])).
% 13.79/14.08 cnf(c22,axiom,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,status(thm),[c20])).
% 13.79/14.08 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 13.79/14.08 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])).
% 13.79/14.08 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])).
% 13.79/14.08 fof(c114,axiom,(![X66]:(![X67]:(![X68]:(~apart_point_and_line(X66,X67)|(distinct_lines(X67,X68)|apart_point_and_line(X66,X68)))))),inference(shift_quantors,status(thm),[fof(c113,axiom,(![X66]:(![X67]:(~apart_point_and_line(X66,X67)|(![X68]:(distinct_lines(X67,X68)|apart_point_and_line(X66,X68)))))),inference(variable_rename,status(thm),[c112])).])).
% 13.79/14.08 cnf(c115,axiom,~apart_point_and_line(X287,X286)|distinct_lines(X286,X285)|apart_point_and_line(X287,X285),inference(split_conjunct,status(thm),[c114])).
% 13.79/14.08 cnf(c394,plain,distinct_lines(X1500,X1499)|apart_point_and_line(X1501,X1499)|incident_point_and_line(X1501,X1500),inference(resolution,status(thm),[c115, c22])).
% 13.79/14.08 cnf(c4290,plain,distinct_lines(X3304,parallel_through_point(X3305,X3303))|incident_point_and_line(X3303,X3304),inference(resolution,status(thm),[c394, c99])).
% 13.79/14.08 cnf(c27751,plain,incident_point_and_line(X4043,X4042)|~equal_lines(X4042,parallel_through_point(X4044,X4043)),inference(resolution,status(thm),[c4290, c35])).
% 13.79/14.08 cnf(c32769,plain,incident_point_and_line(X4045,X4046),inference(resolution,status(thm),[c27751, c30890])).
% 13.79/14.08 cnf(c32794,plain,$false,inference(resolution,status(thm),[c32769, c166])).
% 13.79/14.08 # SZS output end CNFRefutation
% 13.79/14.08
% 13.79/14.08 # Initial clauses : 51
% 13.79/14.08 # Processed clauses : 790
% 13.79/14.08 # Factors computed : 124
% 13.79/14.08 # Resolvents computed: 32669
% 13.79/14.08 # Tautologies deleted: 12
% 13.79/14.08 # Forward subsumed : 1844
% 13.79/14.08 # Backward subsumed : 57
% 13.79/14.08 # -------- CPU Time ---------
% 13.79/14.08 # User time : 13.593 s
% 13.79/14.08 # System time : 0.090 s
% 13.79/14.08 # Total time : 13.683 s
%------------------------------------------------------------------------------