TSTP Solution File: GEO192+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 05:59:06 EDT 2022
% Result : Theorem 2.97s 3.18s
% Output : Refutation 2.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n006.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
% 0.13/0.35 % DateTime : Sat Jun 18 18:17:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.97/3.18 # Version: 1.3
% 2.97/3.18 # SZS status Theorem
% 2.97/3.18 # SZS output start CNFRefutation
% 2.97/3.18 fof(con,conjecture,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(apart_point_and_line(intersection_point(X,Y),Z)=>(distinct_lines(X,Z)&distinct_lines(Y,Z))))))),input).
% 2.97/3.18 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(apart_point_and_line(intersection_point(X,Y),Z)=>(distinct_lines(X,Z)&distinct_lines(Y,Z)))))))),inference(assume_negation,status(cth),[con])).
% 2.97/3.18 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:(convergent_lines(X,Y)&(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z))))))),inference(fof_nnf,status(thm),[c0])).
% 2.97/3.18 fof(c2,negated_conjecture,(?[X]:(?[Y]:(convergent_lines(X,Y)&(?[Z]:(apart_point_and_line(intersection_point(X,Y),Z)&(~distinct_lines(X,Z)|~distinct_lines(Y,Z))))))),inference(shift_quantors,status(thm),[c1])).
% 2.97/3.18 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(convergent_lines(X2,X3)&(?[X4]:(apart_point_and_line(intersection_point(X2,X3),X4)&(~distinct_lines(X2,X4)|~distinct_lines(X3,X4))))))),inference(variable_rename,status(thm),[c2])).
% 2.97/3.18 fof(c4,negated_conjecture,(convergent_lines(skolem0001,skolem0002)&(apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003)&(~distinct_lines(skolem0001,skolem0003)|~distinct_lines(skolem0002,skolem0003)))),inference(skolemize,status(esa),[c3])).
% 2.97/3.18 cnf(c6,negated_conjecture,apart_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(split_conjunct,status(thm),[c4])).
% 2.97/3.18 fof(a4,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>(~apart_point_and_line(X,Y))))),input).
% 2.97/3.18 fof(c15,axiom,(![X]:(![Y]:(incident_point_and_line(X,Y)<=>~apart_point_and_line(X,Y)))),inference(fof_simplification,status(thm),[a4])).
% 2.97/3.18 fof(c16,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),[c15])).
% 2.97/3.18 fof(c17,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),[c16])).
% 2.97/3.18 fof(c19,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(c18,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),[c17])).])).
% 2.97/3.18 cnf(c20,axiom,~incident_point_and_line(X113,X114)|~apart_point_and_line(X113,X114),inference(split_conjunct,status(thm),[c19])).
% 2.97/3.18 cnf(c165,plain,~incident_point_and_line(intersection_point(skolem0001,skolem0002),skolem0003),inference(resolution,status(thm),[c20, c6])).
% 2.97/3.18 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 2.97/3.18 fof(c22,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 2.97/3.18 fof(c23,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c22])).
% 2.97/3.18 fof(c24,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),[c23])).
% 2.97/3.18 fof(c26,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(c25,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),[c24])).])).
% 2.97/3.18 cnf(c27,axiom,~parallel_lines(X121,X122)|~convergent_lines(X121,X122),inference(split_conjunct,status(thm),[c26])).
% 2.97/3.18 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 2.97/3.18 fof(c29,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 2.97/3.18 fof(c30,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c29])).
% 2.97/3.18 fof(c31,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),[c30])).
% 2.97/3.18 fof(c33,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(c32,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),[c31])).])).
% 2.97/3.18 cnf(c35,axiom,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,status(thm),[c33])).
% 2.97/3.18 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 2.97/3.18 fof(c102,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 2.97/3.18 fof(c103,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c102])).
% 2.97/3.18 cnf(c104,axiom,~distinct_lines(X164,X163)|convergent_lines(X164,X163),inference(split_conjunct,status(thm),[c103])).
% 2.97/3.18 cnf(c194,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,status(thm),[c104, c35])).
% 2.97/3.18 cnf(c208,plain,equal_lines(X201,X202)|~parallel_lines(X201,X202),inference(resolution,status(thm),[c194, c27])).
% 2.97/3.18 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 2.97/3.18 fof(c99,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 2.97/3.18 fof(c100,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c99])).
% 2.97/3.18 cnf(c101,axiom,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,status(thm),[c100])).
% 2.97/3.18 cnf(c206,plain,equal_lines(parallel_through_point(X192,X193),X192),inference(resolution,status(thm),[c194, c101])).
% 2.97/3.18 cnf(c34,axiom,~equal_lines(X128,X129)|~distinct_lines(X128,X129),inference(split_conjunct,status(thm),[c33])).
% 2.97/3.18 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 2.97/3.18 fof(c154,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 2.97/3.18 fof(c155,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c154])).
% 2.97/3.18 cnf(c156,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c155])).
% 2.97/3.18 cnf(c28,axiom,convergent_lines(X124,X123)|parallel_lines(X124,X123),inference(split_conjunct,status(thm),[c26])).
% 2.97/3.18 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 2.97/3.18 fof(c105,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 2.97/3.18 fof(c106,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c105])).
% 2.97/3.18 fof(c108,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c107,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c106])).])).
% 2.97/3.18 cnf(c109,axiom,~convergent_lines(X312,X314)|distinct_lines(X314,X313)|convergent_lines(X312,X313),inference(split_conjunct,status(thm),[c108])).
% 2.97/3.18 cnf(c353,plain,distinct_lines(X852,X851)|convergent_lines(X853,X851)|parallel_lines(X853,X852),inference(resolution,status(thm),[c109, c28])).
% 2.97/3.18 cnf(c1117,plain,distinct_lines(X857,X856)|parallel_lines(X856,X857),inference(resolution,status(thm),[c353, c156])).
% 2.97/3.18 cnf(c1156,plain,parallel_lines(X865,X866)|~equal_lines(X866,X865),inference(resolution,status(thm),[c1117, c34])).
% 2.97/3.18 cnf(c1179,plain,parallel_lines(X873,parallel_through_point(X873,X872)),inference(resolution,status(thm),[c1156, c206])).
% 2.97/3.18 cnf(c1206,plain,equal_lines(X874,parallel_through_point(X874,X875)),inference(resolution,status(thm),[c1179, c208])).
% 2.97/3.18 fof(cp2,axiom,(![X]:(![Y]:(~apart_point_and_line(X,parallel_through_point(Y,X))))),input).
% 2.97/3.18 fof(c96,axiom,(![X]:(![Y]:~apart_point_and_line(X,parallel_through_point(Y,X)))),inference(fof_simplification,status(thm),[cp2])).
% 2.97/3.18 fof(c97,axiom,(![X57]:(![X58]:~apart_point_and_line(X57,parallel_through_point(X58,X57)))),inference(variable_rename,status(thm),[c96])).
% 2.97/3.18 cnf(c98,axiom,~apart_point_and_line(X104,parallel_through_point(X103,X104)),inference(split_conjunct,status(thm),[c97])).
% 2.97/3.18 cnf(c21,axiom,apart_point_and_line(X115,X116)|incident_point_and_line(X115,X116),inference(split_conjunct,status(thm),[c19])).
% 2.97/3.18 fof(ceq2,axiom,(![X]:(![Y]:(![Z]:(apart_point_and_line(X,Y)=>(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))))),input).
% 2.97/3.18 fof(c110,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])).
% 2.97/3.18 fof(c111,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),[c110])).
% 2.97/3.18 fof(c113,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(c112,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),[c111])).])).
% 2.97/3.18 cnf(c114,axiom,~apart_point_and_line(X318,X320)|distinct_lines(X320,X319)|apart_point_and_line(X318,X319),inference(split_conjunct,status(thm),[c113])).
% 2.97/3.18 cnf(c375,plain,distinct_lines(X1523,X1525)|apart_point_and_line(X1524,X1525)|incident_point_and_line(X1524,X1523),inference(resolution,status(thm),[c114, c21])).
% 2.97/3.18 cnf(c3506,plain,distinct_lines(X2208,parallel_through_point(X2206,X2207))|incident_point_and_line(X2207,X2208),inference(resolution,status(thm),[c375, c98])).
% 2.97/3.18 cnf(c6926,plain,incident_point_and_line(X2938,X2939)|~equal_lines(X2939,parallel_through_point(X2937,X2938)),inference(resolution,status(thm),[c3506, c34])).
% 2.97/3.18 cnf(c9782,plain,incident_point_and_line(X2941,X2940),inference(resolution,status(thm),[c6926, c1206])).
% 2.97/3.18 cnf(c9806,plain,$false,inference(resolution,status(thm),[c9782, c165])).
% 2.97/3.18 # SZS output end CNFRefutation
% 2.97/3.18
% 2.97/3.18 # Initial clauses : 49
% 2.97/3.18 # Processed clauses : 470
% 2.97/3.18 # Factors computed : 38
% 2.97/3.18 # Resolvents computed: 9606
% 2.97/3.18 # Tautologies deleted: 13
% 2.97/3.18 # Forward subsumed : 1017
% 2.97/3.18 # Backward subsumed : 55
% 2.97/3.18 # -------- CPU Time ---------
% 2.97/3.18 # User time : 2.801 s
% 2.97/3.18 # System time : 0.028 s
% 2.97/3.18 # Total time : 2.829 s
%------------------------------------------------------------------------------