TSTP Solution File: GEO077-4 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 : 300s
% DateTime : Tue Apr 30 20:17:01 EDT 2024
% Result : Unsatisfiable 0.18s 0.54s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO077-4 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 01:35:02 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.18/0.54 % Refutation found
% 0.18/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.54 fof(f4,axiom,(
% 0.18/0.54 (![Z1,Y3,Z2,Y4]: (( ~ on(Z1,Y3)| Z1 = Z2| ~ on(Z2,Y3)| Y3 = Y4| ~ on(Z1,Y4)| ~ on(Z2,Y4)| ~ point(Z1)| ~ point(Z2)| ~ line(Y3)| ~ line(Y4) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f5,axiom,(
% 0.18/0.54 (![Y1]: (( on(point_1_on_line(Y1),Y1)| ~ line(Y1) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f6,axiom,(
% 0.18/0.54 (![Y1]: (( on(point_2_on_line(Y1),Y1)| ~ line(Y1) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f27,axiom,(
% 0.18/0.54 (![X1,X2,X3]: (( ~ point(X1)| ~ point(X2)| ~ point(X3)| X1 = X2| X1 = X3| X2 = X3| on(X1,line_through_3_points(X1,X2,X3))| ~ collinear(X1,X2,X3) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f28,axiom,(
% 0.18/0.54 (![X1,X2,X3]: (( ~ point(X1)| ~ point(X2)| ~ point(X3)| X1 = X2| X1 = X3| X2 = X3| on(X2,line_through_3_points(X1,X2,X3))| ~ collinear(X1,X2,X3) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f29,axiom,(
% 0.18/0.54 (![X1,X2,X3]: (( ~ point(X1)| ~ point(X2)| ~ point(X3)| X1 = X2| X1 = X3| X2 = X3| on(X3,line_through_3_points(X1,X2,X3))| ~ collinear(X1,X2,X3) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f30,axiom,(
% 0.18/0.54 (![X1,X2,X3]: (( ~ point(X1)| ~ point(X2)| ~ point(X3)| X1 = X2| X1 = X3| X2 = X3| line(line_through_3_points(X1,X2,X3))| ~ collinear(X1,X2,X3) ) ))),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f32,hypothesis,(
% 0.18/0.54 point(point1) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f33,hypothesis,(
% 0.18/0.54 point(point2) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f34,hypothesis,(
% 0.18/0.54 point(point3) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f35,hypothesis,(
% 0.18/0.54 line(a_line) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f36,hypothesis,(
% 0.18/0.54 on(point1,a_line) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f37,hypothesis,(
% 0.18/0.54 on(point2,a_line) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f38,hypothesis,(
% 0.18/0.54 ~ on(point3,a_line) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f39,hypothesis,(
% 0.18/0.54 point1 != point2 ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f40,hypothesis,(
% 0.18/0.54 point1 != point3 ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f41,hypothesis,(
% 0.18/0.54 point2 != point3 ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f42,negated_conjecture,(
% 0.18/0.54 collinear(point1,point2,point3) ),
% 0.18/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.54 fof(f49,plain,(
% 0.18/0.54 ![Y4]: ((![Y3]: ((![Z2]: ((![Z1]: ((((((~on(Z1,Y3)|Z1=Z2)|~on(Z2,Y3))|Y3=Y4)|~on(Z1,Y4))|~on(Z2,Y4))|~point(Z1)))|~point(Z2)))|~line(Y3)))|~line(Y4))),
% 0.18/0.54 inference(miniscoping,[status(esa)],[f4])).
% 0.18/0.54 fof(f50,plain,(
% 0.18/0.54 ![X0,X1,X2,X3]: (~on(X0,X1)|X0=X2|~on(X2,X1)|X1=X3|~on(X0,X3)|~on(X2,X3)|~point(X0)|~point(X2)|~line(X1)|~line(X3))),
% 0.18/0.54 inference(cnf_transformation,[status(esa)],[f49])).
% 0.18/0.54 fof(f51,plain,(
% 0.18/0.54 ![X0]: (on(point_1_on_line(X0),X0)|~line(X0))),
% 0.18/0.54 inference(cnf_transformation,[status(esa)],[f5])).
% 0.18/0.54 fof(f52,plain,(
% 0.18/0.54 ![X0]: (on(point_2_on_line(X0),X0)|~line(X0))),
% 0.18/0.54 inference(cnf_transformation,[status(esa)],[f6])).
% 0.18/0.54 fof(f79,plain,(
% 0.18/0.54 ![X0,X1,X2]: (~point(X0)|~point(X1)|~point(X2)|X0=X1|X0=X2|X1=X2|on(X0,line_through_3_points(X0,X1,X2))|~collinear(X0,X1,X2))),
% 0.18/0.54 inference(cnf_transformation,[status(esa)],[f27])).
% 0.18/0.54 fof(f80,plain,(
% 0.18/0.54 ![X0,X1,X2]: (~point(X0)|~point(X1)|~point(X2)|X0=X1|X0=X2|X1=X2|on(X1,line_through_3_points(X0,X1,X2))|~collinear(X0,X1,X2))),
% 0.18/0.54 inference(cnf_transformation,[status(esa)],[f28])).
% 0.18/0.54 fof(f81,plain,(
% 0.18/0.54 ![X0,X1,X2]: (~point(X0)|~point(X1)|~point(X2)|X0=X1|X0=X2|X1=X2|on(X2,line_through_3_points(X0,X1,X2))|~collinear(X0,X1,X2))),
% 0.18/0.54 inference(cnf_transformation,[status(esa)],[f29])).
% 0.18/0.54 fof(f82,plain,(
% 0.18/0.54 ![X0,X1,X2]: (~point(X0)|~point(X1)|~point(X2)|X0=X1|X0=X2|X1=X2|line(line_through_3_points(X0,X1,X2))|~collinear(X0,X1,X2))),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f30])).
% 0.18/0.55 fof(f85,plain,(
% 0.18/0.55 point(point1)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f32])).
% 0.18/0.55 fof(f86,plain,(
% 0.18/0.55 point(point2)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f33])).
% 0.18/0.55 fof(f87,plain,(
% 0.18/0.55 point(point3)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f34])).
% 0.18/0.55 fof(f88,plain,(
% 0.18/0.55 line(a_line)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f35])).
% 0.18/0.55 fof(f89,plain,(
% 0.18/0.55 on(point1,a_line)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f36])).
% 0.18/0.55 fof(f90,plain,(
% 0.18/0.55 on(point2,a_line)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f37])).
% 0.18/0.55 fof(f91,plain,(
% 0.18/0.55 ~on(point3,a_line)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f38])).
% 0.18/0.55 fof(f92,plain,(
% 0.18/0.55 ~point1=point2),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f39])).
% 0.18/0.55 fof(f93,plain,(
% 0.18/0.55 ~point1=point3),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f40])).
% 0.18/0.55 fof(f94,plain,(
% 0.18/0.55 ~point2=point3),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f41])).
% 0.18/0.55 fof(f95,plain,(
% 0.18/0.55 collinear(point1,point2,point3)),
% 0.18/0.55 inference(cnf_transformation,[status(esa)],[f42])).
% 0.18/0.55 fof(f116,plain,(
% 0.18/0.55 spl0_3 <=> point3=point2),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f117,plain,(
% 0.18/0.55 point3=point2|~spl0_3),
% 0.18/0.55 inference(component_clause,[status(thm)],[f116])).
% 0.18/0.55 fof(f124,plain,(
% 0.18/0.55 spl0_5 <=> point3=point1),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f125,plain,(
% 0.18/0.55 point3=point1|~spl0_5),
% 0.18/0.55 inference(component_clause,[status(thm)],[f124])).
% 0.18/0.55 fof(f132,plain,(
% 0.18/0.55 spl0_7 <=> point(point1)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f134,plain,(
% 0.18/0.55 ~point(point1)|spl0_7),
% 0.18/0.55 inference(component_clause,[status(thm)],[f132])).
% 0.18/0.55 fof(f135,plain,(
% 0.18/0.55 spl0_8 <=> line(a_line)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f137,plain,(
% 0.18/0.55 ~line(a_line)|spl0_8),
% 0.18/0.55 inference(component_clause,[status(thm)],[f135])).
% 0.18/0.55 fof(f140,plain,(
% 0.18/0.55 spl0_9 <=> point1=X0|~on(X0,a_line)|a_line=X1|~on(point1,X1)|~on(X0,X1)|~point(X0)|~line(X1)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f141,plain,(
% 0.18/0.55 ![X0,X1]: (point1=X0|~on(X0,a_line)|a_line=X1|~on(point1,X1)|~on(X0,X1)|~point(X0)|~line(X1)|~spl0_9)),
% 0.18/0.55 inference(component_clause,[status(thm)],[f140])).
% 0.18/0.55 fof(f143,plain,(
% 0.18/0.55 ![X0,X1]: (point1=X0|~on(X0,a_line)|a_line=X1|~on(point1,X1)|~on(X0,X1)|~point(point1)|~point(X0)|~line(a_line)|~line(X1))),
% 0.18/0.55 inference(resolution,[status(thm)],[f89,f50])).
% 0.18/0.55 fof(f144,plain,(
% 0.18/0.55 spl0_9|~spl0_7|~spl0_8),
% 0.18/0.55 inference(split_clause,[status(thm)],[f143,f140,f132,f135])).
% 0.18/0.55 fof(f163,plain,(
% 0.18/0.55 $false|spl0_8),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f137,f88])).
% 0.18/0.55 fof(f164,plain,(
% 0.18/0.55 spl0_8),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f163])).
% 0.18/0.55 fof(f165,plain,(
% 0.18/0.55 $false|spl0_7),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f134,f85])).
% 0.18/0.55 fof(f166,plain,(
% 0.18/0.55 spl0_7),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f165])).
% 0.18/0.55 fof(f170,plain,(
% 0.18/0.55 spl0_15 <=> point(point2)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f172,plain,(
% 0.18/0.55 ~point(point2)|spl0_15),
% 0.18/0.55 inference(component_clause,[status(thm)],[f170])).
% 0.18/0.55 fof(f195,plain,(
% 0.18/0.55 $false|spl0_15),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f172,f86])).
% 0.18/0.55 fof(f196,plain,(
% 0.18/0.55 spl0_15),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f195])).
% 0.18/0.55 fof(f200,plain,(
% 0.18/0.55 spl0_21 <=> point3=point_1_on_line(a_line)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f201,plain,(
% 0.18/0.55 point3=point_1_on_line(a_line)|~spl0_21),
% 0.18/0.55 inference(component_clause,[status(thm)],[f200])).
% 0.18/0.55 fof(f218,plain,(
% 0.18/0.55 spl0_25 <=> point3=point_2_on_line(a_line)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f219,plain,(
% 0.18/0.55 point3=point_2_on_line(a_line)|~spl0_25),
% 0.18/0.55 inference(component_clause,[status(thm)],[f218])).
% 0.18/0.55 fof(f251,plain,(
% 0.18/0.55 on(point_1_on_line(a_line),a_line)),
% 0.18/0.55 inference(resolution,[status(thm)],[f51,f88])).
% 0.18/0.55 fof(f339,plain,(
% 0.18/0.55 on(point_2_on_line(a_line),a_line)),
% 0.18/0.55 inference(resolution,[status(thm)],[f52,f88])).
% 0.18/0.55 fof(f344,plain,(
% 0.18/0.55 spl0_47 <=> point(point3)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f346,plain,(
% 0.18/0.55 ~point(point3)|spl0_47),
% 0.18/0.55 inference(component_clause,[status(thm)],[f344])).
% 0.18/0.55 fof(f417,plain,(
% 0.18/0.55 spl0_64 <=> point1=point2),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f418,plain,(
% 0.18/0.55 point1=point2|~spl0_64),
% 0.18/0.55 inference(component_clause,[status(thm)],[f417])).
% 0.18/0.55 fof(f545,plain,(
% 0.18/0.55 $false|~spl0_64),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f418,f92])).
% 0.18/0.55 fof(f546,plain,(
% 0.18/0.55 ~spl0_64),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f545])).
% 0.18/0.55 fof(f711,plain,(
% 0.18/0.55 spl0_126 <=> a_line=X0|~on(point1,X0)|~on(point2,X0)|~line(X0)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f712,plain,(
% 0.18/0.55 ![X0]: (a_line=X0|~on(point1,X0)|~on(point2,X0)|~line(X0)|~spl0_126)),
% 0.18/0.55 inference(component_clause,[status(thm)],[f711])).
% 0.18/0.55 fof(f714,plain,(
% 0.18/0.55 ![X0]: (point1=point2|a_line=X0|~on(point1,X0)|~on(point2,X0)|~point(point2)|~line(X0)|~spl0_9)),
% 0.18/0.55 inference(resolution,[status(thm)],[f141,f90])).
% 0.18/0.55 fof(f715,plain,(
% 0.18/0.55 spl0_64|spl0_126|~spl0_15|~spl0_9),
% 0.18/0.55 inference(split_clause,[status(thm)],[f714,f417,f711,f170,f140])).
% 0.18/0.55 fof(f744,plain,(
% 0.18/0.55 $false|spl0_47),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f346,f87])).
% 0.18/0.55 fof(f745,plain,(
% 0.18/0.55 spl0_47),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f744])).
% 0.18/0.55 fof(f749,plain,(
% 0.18/0.55 $false|~spl0_5),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f125,f93])).
% 0.18/0.55 fof(f750,plain,(
% 0.18/0.55 ~spl0_5),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f749])).
% 0.18/0.55 fof(f751,plain,(
% 0.18/0.55 $false|~spl0_3),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f117,f94])).
% 0.18/0.55 fof(f752,plain,(
% 0.18/0.55 ~spl0_3),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f751])).
% 0.18/0.55 fof(f756,plain,(
% 0.18/0.55 on(point3,a_line)|~spl0_21),
% 0.18/0.55 inference(forward_demodulation,[status(thm)],[f201,f251])).
% 0.18/0.55 fof(f757,plain,(
% 0.18/0.55 $false|~spl0_21),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f756,f91])).
% 0.18/0.55 fof(f758,plain,(
% 0.18/0.55 ~spl0_21),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f757])).
% 0.18/0.55 fof(f776,plain,(
% 0.18/0.55 on(point3,a_line)|~spl0_25),
% 0.18/0.55 inference(backward_demodulation,[status(thm)],[f219,f339])).
% 0.18/0.55 fof(f777,plain,(
% 0.18/0.55 $false|~spl0_25),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f776,f91])).
% 0.18/0.55 fof(f778,plain,(
% 0.18/0.55 ~spl0_25),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f777])).
% 0.18/0.55 fof(f1161,plain,(
% 0.18/0.55 spl0_172 <=> line(line_through_3_points(point1,point2,point3))),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f1164,plain,(
% 0.18/0.55 ~point(point1)|~point(point2)|~point(point3)|point1=point2|point1=point3|point2=point3|line(line_through_3_points(point1,point2,point3))),
% 0.18/0.55 inference(resolution,[status(thm)],[f82,f95])).
% 0.18/0.55 fof(f1165,plain,(
% 0.18/0.55 ~spl0_7|~spl0_15|~spl0_47|spl0_64|spl0_5|spl0_3|spl0_172),
% 0.18/0.55 inference(split_clause,[status(thm)],[f1164,f132,f170,f344,f417,f124,f116,f1161])).
% 0.18/0.55 fof(f1172,plain,(
% 0.18/0.55 spl0_173 <=> on(point1,line_through_3_points(point1,point2,point3))),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f1175,plain,(
% 0.18/0.55 ~point(point1)|~point(point2)|~point(point3)|point1=point2|point1=point3|point2=point3|on(point1,line_through_3_points(point1,point2,point3))),
% 0.18/0.55 inference(resolution,[status(thm)],[f79,f95])).
% 0.18/0.55 fof(f1176,plain,(
% 0.18/0.55 ~spl0_7|~spl0_15|~spl0_47|spl0_64|spl0_5|spl0_3|spl0_173),
% 0.18/0.55 inference(split_clause,[status(thm)],[f1175,f132,f170,f344,f417,f124,f116,f1172])).
% 0.18/0.55 fof(f1177,plain,(
% 0.18/0.55 spl0_174 <=> on(point2,line_through_3_points(point1,point2,point3))),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f1178,plain,(
% 0.18/0.55 on(point2,line_through_3_points(point1,point2,point3))|~spl0_174),
% 0.18/0.55 inference(component_clause,[status(thm)],[f1177])).
% 0.18/0.55 fof(f1180,plain,(
% 0.18/0.55 ~point(point1)|~point(point2)|~point(point3)|point1=point2|point1=point3|point2=point3|on(point2,line_through_3_points(point1,point2,point3))),
% 0.18/0.55 inference(resolution,[status(thm)],[f80,f95])).
% 0.18/0.55 fof(f1181,plain,(
% 0.18/0.55 ~spl0_7|~spl0_15|~spl0_47|spl0_64|spl0_5|spl0_3|spl0_174),
% 0.18/0.55 inference(split_clause,[status(thm)],[f1180,f132,f170,f344,f417,f124,f116,f1177])).
% 0.18/0.55 fof(f1182,plain,(
% 0.18/0.55 spl0_175 <=> on(point3,line_through_3_points(point1,point2,point3))),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f1183,plain,(
% 0.18/0.55 on(point3,line_through_3_points(point1,point2,point3))|~spl0_175),
% 0.18/0.55 inference(component_clause,[status(thm)],[f1182])).
% 0.18/0.55 fof(f1185,plain,(
% 0.18/0.55 ~point(point1)|~point(point2)|~point(point3)|point1=point2|point1=point3|point2=point3|on(point3,line_through_3_points(point1,point2,point3))),
% 0.18/0.55 inference(resolution,[status(thm)],[f81,f95])).
% 0.18/0.55 fof(f1186,plain,(
% 0.18/0.55 ~spl0_7|~spl0_15|~spl0_47|spl0_64|spl0_5|spl0_3|spl0_175),
% 0.18/0.55 inference(split_clause,[status(thm)],[f1185,f132,f170,f344,f417,f124,f116,f1182])).
% 0.18/0.55 fof(f1506,plain,(
% 0.18/0.55 spl0_228 <=> a_line=line_through_3_points(point1,point2,point3)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f1507,plain,(
% 0.18/0.55 a_line=line_through_3_points(point1,point2,point3)|~spl0_228),
% 0.18/0.55 inference(component_clause,[status(thm)],[f1506])).
% 0.18/0.55 fof(f1509,plain,(
% 0.18/0.55 a_line=line_through_3_points(point1,point2,point3)|~on(point1,line_through_3_points(point1,point2,point3))|~line(line_through_3_points(point1,point2,point3))|~spl0_126|~spl0_174),
% 0.18/0.55 inference(resolution,[status(thm)],[f712,f1178])).
% 0.18/0.55 fof(f1510,plain,(
% 0.18/0.55 spl0_228|~spl0_173|~spl0_172|~spl0_126|~spl0_174),
% 0.18/0.55 inference(split_clause,[status(thm)],[f1509,f1506,f1172,f1161,f711,f1177])).
% 0.18/0.55 fof(f1514,plain,(
% 0.18/0.55 spl0_230 <=> on(point1,a_line)),
% 0.18/0.55 introduced(split_symbol_definition)).
% 0.18/0.55 fof(f1516,plain,(
% 0.18/0.55 ~on(point1,a_line)|spl0_230),
% 0.18/0.55 inference(component_clause,[status(thm)],[f1514])).
% 0.18/0.55 fof(f1519,plain,(
% 0.18/0.55 $false|spl0_230),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1516,f89])).
% 0.18/0.55 fof(f1520,plain,(
% 0.18/0.55 spl0_230),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f1519])).
% 0.18/0.55 fof(f1523,plain,(
% 0.18/0.55 on(point3,a_line)|~spl0_228|~spl0_175),
% 0.18/0.55 inference(backward_demodulation,[status(thm)],[f1507,f1183])).
% 0.18/0.55 fof(f1524,plain,(
% 0.18/0.55 $false|~spl0_228|~spl0_175),
% 0.18/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1523,f91])).
% 0.18/0.55 fof(f1525,plain,(
% 0.18/0.55 ~spl0_228|~spl0_175),
% 0.18/0.55 inference(contradiction_clause,[status(thm)],[f1524])).
% 0.18/0.55 fof(f1526,plain,(
% 0.18/0.55 $false),
% 0.18/0.55 inference(sat_refutation,[status(thm)],[f144,f164,f166,f196,f546,f715,f745,f750,f752,f758,f778,f1165,f1176,f1181,f1186,f1510,f1520,f1525])).
% 0.18/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.56 % Elapsed time: 0.214495 seconds
% 0.18/0.56 % CPU time: 1.571811 seconds
% 0.18/0.56 % Total memory used: 67.161 MB
% 0.18/0.56 % Net memory used: 66.641 MB
%------------------------------------------------------------------------------