TSTP Solution File: GEO206+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 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 05:59:16 EDT 2022
% Result : Theorem 0.96s 1.12s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 15:45:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.96/1.12 # Version: 1.3
% 0.96/1.12 # SZS status Theorem
% 0.96/1.12 # SZS output start CNFRefutation
% 0.96/1.12 fof(con,conjecture,(![X]:(![Y]:(![Z]:((incident_point_and_line(X,Y)¶llel_lines(Y,Z))=>equal_lines(Y,parallel_through_point(Z,X)))))),input).
% 0.96/1.12 fof(c0,negated_conjecture,(~(![X]:(![Y]:(![Z]:((incident_point_and_line(X,Y)¶llel_lines(Y,Z))=>equal_lines(Y,parallel_through_point(Z,X))))))),inference(assume_negation,status(cth),[con])).
% 0.96/1.12 fof(c1,negated_conjecture,(?[X]:(?[Y]:(?[Z]:((incident_point_and_line(X,Y)¶llel_lines(Y,Z))&~equal_lines(Y,parallel_through_point(Z,X)))))),inference(fof_nnf,status(thm),[c0])).
% 0.96/1.12 fof(c2,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((incident_point_and_line(X2,X3)¶llel_lines(X3,X4))&~equal_lines(X3,parallel_through_point(X4,X2)))))),inference(variable_rename,status(thm),[c1])).
% 0.96/1.12 fof(c3,negated_conjecture,((incident_point_and_line(skolem0001,skolem0002)¶llel_lines(skolem0002,skolem0003))&~equal_lines(skolem0002,parallel_through_point(skolem0003,skolem0001))),inference(skolemize,status(esa),[c2])).
% 0.96/1.12 cnf(c5,negated_conjecture,parallel_lines(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c3])).
% 0.96/1.12 fof(a3,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>(~convergent_lines(X,Y))))),input).
% 0.96/1.12 fof(c21,axiom,(![X]:(![Y]:(parallel_lines(X,Y)<=>~convergent_lines(X,Y)))),inference(fof_simplification,status(thm),[a3])).
% 0.96/1.12 fof(c22,axiom,(![X]:(![Y]:((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(convergent_lines(X,Y)|parallel_lines(X,Y))))),inference(fof_nnf,status(thm),[c21])).
% 0.96/1.12 fof(c23,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),[c22])).
% 0.96/1.12 fof(c25,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(c24,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),[c23])).])).
% 0.96/1.12 cnf(c26,axiom,~parallel_lines(X122,X121)|~convergent_lines(X122,X121),inference(split_conjunct,status(thm),[c25])).
% 0.96/1.12 fof(ax2,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>(~distinct_lines(X,Y))))),input).
% 0.96/1.12 fof(c28,axiom,(![X]:(![Y]:(equal_lines(X,Y)<=>~distinct_lines(X,Y)))),inference(fof_simplification,status(thm),[ax2])).
% 0.96/1.12 fof(c29,axiom,(![X]:(![Y]:((~equal_lines(X,Y)|~distinct_lines(X,Y))&(distinct_lines(X,Y)|equal_lines(X,Y))))),inference(fof_nnf,status(thm),[c28])).
% 0.96/1.12 fof(c30,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),[c29])).
% 0.96/1.12 fof(c32,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(c31,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),[c30])).])).
% 0.96/1.12 cnf(c34,axiom,distinct_lines(X131,X130)|equal_lines(X131,X130),inference(split_conjunct,status(thm),[c32])).
% 0.96/1.12 fof(p1,axiom,(![X]:(![Y]:(distinct_lines(X,Y)=>convergent_lines(X,Y)))),input).
% 0.96/1.12 fof(c101,axiom,(![X]:(![Y]:(~distinct_lines(X,Y)|convergent_lines(X,Y)))),inference(fof_nnf,status(thm),[p1])).
% 0.96/1.12 fof(c102,axiom,(![X61]:(![X62]:(~distinct_lines(X61,X62)|convergent_lines(X61,X62)))),inference(variable_rename,status(thm),[c101])).
% 0.96/1.12 cnf(c103,axiom,~distinct_lines(X162,X161)|convergent_lines(X162,X161),inference(split_conjunct,status(thm),[c102])).
% 0.96/1.12 cnf(c186,plain,convergent_lines(X189,X190)|equal_lines(X189,X190),inference(resolution,status(thm),[c103, c34])).
% 0.96/1.12 cnf(c206,plain,equal_lines(X202,X201)|~parallel_lines(X202,X201),inference(resolution,status(thm),[c186, c26])).
% 0.96/1.12 cnf(c214,plain,equal_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c206, c5])).
% 0.96/1.12 cnf(c33,axiom,~equal_lines(X128,X129)|~distinct_lines(X128,X129),inference(split_conjunct,status(thm),[c32])).
% 0.96/1.12 cnf(c6,negated_conjecture,~equal_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(split_conjunct,status(thm),[c3])).
% 0.96/1.12 cnf(c207,plain,convergent_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,status(thm),[c186, c6])).
% 0.96/1.12 cnf(c231,plain,~parallel_lines(skolem0002,parallel_through_point(skolem0003,skolem0001)),inference(resolution,status(thm),[c207, c26])).
% 0.96/1.12 fof(apart3,axiom,(![X]:(~convergent_lines(X,X))),input).
% 0.96/1.12 fof(c153,axiom,(![X]:~convergent_lines(X,X)),inference(fof_simplification,status(thm),[apart3])).
% 0.96/1.12 fof(c154,axiom,(![X93]:~convergent_lines(X93,X93)),inference(variable_rename,status(thm),[c153])).
% 0.96/1.12 cnf(c155,axiom,~convergent_lines(X96,X96),inference(split_conjunct,status(thm),[c154])).
% 0.96/1.12 cnf(c27,axiom,convergent_lines(X124,X123)|parallel_lines(X124,X123),inference(split_conjunct,status(thm),[c25])).
% 0.96/1.12 fof(ceq3,axiom,(![X]:(![Y]:(![Z]:(convergent_lines(X,Y)=>(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),input).
% 0.96/1.12 fof(c104,axiom,(![X]:(![Y]:(![Z]:(~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(fof_nnf,status(thm),[ceq3])).
% 0.96/1.12 fof(c105,axiom,(![X]:(![Y]:(~convergent_lines(X,Y)|(![Z]:(distinct_lines(Y,Z)|convergent_lines(X,Z)))))),inference(shift_quantors,status(thm),[c104])).
% 0.96/1.12 fof(c107,axiom,(![X63]:(![X64]:(![X65]:(~convergent_lines(X63,X64)|(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(shift_quantors,status(thm),[fof(c106,axiom,(![X63]:(![X64]:(~convergent_lines(X63,X64)|(![X65]:(distinct_lines(X64,X65)|convergent_lines(X63,X65)))))),inference(variable_rename,status(thm),[c105])).])).
% 0.96/1.12 cnf(c108,axiom,~convergent_lines(X323,X321)|distinct_lines(X321,X322)|convergent_lines(X323,X322),inference(split_conjunct,status(thm),[c107])).
% 0.96/1.12 cnf(c343,plain,distinct_lines(X969,X968)|convergent_lines(X970,X968)|parallel_lines(X970,X969),inference(resolution,status(thm),[c108, c27])).
% 0.96/1.12 cnf(c1215,plain,distinct_lines(X976,X977)|parallel_lines(X977,X976),inference(resolution,status(thm),[c343, c155])).
% 0.96/1.12 cnf(c1256,plain,parallel_lines(X988,X987)|convergent_lines(X987,X988),inference(resolution,status(thm),[c1215, c103])).
% 0.96/1.12 cnf(c1286,plain,convergent_lines(parallel_through_point(skolem0003,skolem0001),skolem0002),inference(resolution,status(thm),[c1256, c231])).
% 0.96/1.12 cnf(c1876,plain,~parallel_lines(parallel_through_point(skolem0003,skolem0001),skolem0002),inference(resolution,status(thm),[c1286, c26])).
% 0.96/1.12 fof(cp1,axiom,(![X]:(![Y]:(~convergent_lines(parallel_through_point(Y,X),Y)))),input).
% 0.96/1.12 fof(c98,axiom,(![X]:(![Y]:~convergent_lines(parallel_through_point(Y,X),Y))),inference(fof_simplification,status(thm),[cp1])).
% 0.96/1.12 fof(c99,axiom,(![X59]:(![X60]:~convergent_lines(parallel_through_point(X60,X59),X60))),inference(variable_rename,status(thm),[c98])).
% 0.96/1.12 cnf(c100,axiom,~convergent_lines(parallel_through_point(X105,X106),X105),inference(split_conjunct,status(thm),[c99])).
% 0.96/1.12 cnf(c1240,plain,distinct_lines(X1544,X1545)|parallel_lines(parallel_through_point(X1545,X1546),X1544),inference(resolution,status(thm),[c343, c100])).
% 0.96/1.12 cnf(c2236,plain,distinct_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c1240, c1876])).
% 0.96/1.12 cnf(c2249,plain,~equal_lines(skolem0002,skolem0003),inference(resolution,status(thm),[c2236, c33])).
% 0.96/1.12 cnf(c2279,plain,$false,inference(resolution,status(thm),[c2249, c214])).
% 0.96/1.12 # SZS output end CNFRefutation
% 0.96/1.12
% 0.96/1.12 # Initial clauses : 49
% 0.96/1.12 # Processed clauses : 271
% 0.96/1.12 # Factors computed : 7
% 0.96/1.12 # Resolvents computed: 2119
% 0.96/1.12 # Tautologies deleted: 12
% 0.96/1.12 # Forward subsumed : 401
% 0.96/1.12 # Backward subsumed : 1
% 0.96/1.12 # -------- CPU Time ---------
% 0.96/1.12 # User time : 0.767 s
% 0.96/1.12 # System time : 0.020 s
% 0.96/1.12 # Total time : 0.787 s
%------------------------------------------------------------------------------