%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 05:03:16 EDT 2022

% Result   : Theorem 113.66s 110.11s
% Output   : Proof 113.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO177+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.13/0.33  % Computer : n018.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 03:29:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 113.66/110.11  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.66/110.12  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.66/110.12  
% 113.66/110.12  %-----------------------------------------------------
% 113.66/110.12  fof(con, conjecture, ! [_41920, _41923, _41926, _41929] : (distinct_points(_41920, _41923) & distinct_points(_41926, _41929) => apart_point_and_line(_41920, line_connecting(_41926, _41929)) | apart_point_and_line(_41923, line_connecting(_41926, _41929)) => apart_point_and_line(_41926, line_connecting(_41920, _41923)) | apart_point_and_line(_41929, line_connecting(_41920, _41923))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 113.66/110.12  fof(apart3, axiom, ! [_42289] : ~ convergent_lines(_42289, _42289), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 113.66/110.12  fof(ax6, axiom, ! [_42405, _42408, _42411] : (convergent_lines(_42405, _42408) => convergent_lines(_42405, _42411) | convergent_lines(_42408, _42411)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 113.66/110.12  fof(cu1, axiom, ! [_42594, _42597, _42600, _42603] : (distinct_points(_42594, _42597) & distinct_lines(_42600, _42603) => apart_point_and_line(_42594, _42600) | apart_point_and_line(_42594, _42603) | apart_point_and_line(_42597, _42600) | apart_point_and_line(_42597, _42603)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 113.66/110.12  fof(ceq2, axiom, ! [_42875, _42878, _42881] : (apart_point_and_line(_42875, _42878) => distinct_lines(_42878, _42881) | apart_point_and_line(_42875, _42881)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 113.66/110.12  fof(ceq3, axiom, ! [_43060, _43063, _43066] : (convergent_lines(_43060, _43063) => distinct_lines(_43063, _43066) | convergent_lines(_43060, _43066)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 113.66/110.12  fof(p1, axiom, ! [_43245, _43248] : (distinct_lines(_43245, _43248) => convergent_lines(_43245, _43248)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 113.66/110.12  fof(cp1, axiom, ! [_43391, _43394] : ~ convergent_lines(parallel_through_point(_43394, _43391), _43394), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 113.66/110.12  fof(cp2, axiom, ! [_43532, _43535] : ~ apart_point_and_line(_43532, parallel_through_point(_43535, _43532)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp2)).
% 113.66/110.12  fof(occu1, axiom, ! [_43674, _43677] : (convergent_lines(_43674, _43677) | unorthogonal_lines(_43674, _43677)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', occu1)).
% 113.66/110.12  fof(ooc1, axiom, ! [_43824, _43827] : ~ unorthogonal_lines(orthogonal_through_point(_43827, _43824), _43827), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc1)).
% 113.66/110.12  fof(ooc2, axiom, ! [_43965, _43968] : ~ apart_point_and_line(_43965, orthogonal_through_point(_43968, _43965)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ooc2)).
% 113.66/110.12  
% 113.66/110.12  cnf(1, plain, [-(distinct_points(3 ^ [], 4 ^ []))], clausify(con)).
% 113.66/110.12  cnf(2, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 113.66/110.12  cnf(3, plain, [apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 113.66/110.12  cnf(4, plain, [convergent_lines(_12849, _12849)], clausify(apart3)).
% 113.66/110.12  cnf(5, plain, [convergent_lines(_13975, _14031), -(convergent_lines(_13975, _14086)), -(convergent_lines(_14031, _14086))], clausify(ax6)).
% 113.66/110.12  cnf(6, plain, [distinct_lines(_16091, _16168), distinct_points(_15934, _16013), -(apart_point_and_line(_15934, _16091)), -(apart_point_and_line(_15934, _16168)), -(apart_point_and_line(_16013, _16091)), -(apart_point_and_line(_16013, _16168))], clausify(cu1)).
% 113.66/110.12  cnf(7, plain, [apart_point_and_line(_17242, _17298), -(distinct_lines(_17298, _17353)), -(apart_point_and_line(_17242, _17353))], clausify(ceq2)).
% 113.66/110.12  cnf(8, plain, [convergent_lines(_17699, _17755), -(distinct_lines(_17755, _17810)), -(convergent_lines(_17699, _17810))], clausify(ceq3)).
% 113.66/110.12  cnf(9, plain, [distinct_lines(_18361, _18406), -(convergent_lines(_18361, _18406))], clausify(p1)).
% 113.66/110.12  cnf(10, plain, [convergent_lines(parallel_through_point(_18725, _18681), _18725)], clausify(cp1)).
% 113.66/110.12  cnf(11, plain, [apart_point_and_line(_18968, parallel_through_point(_19012, _18968))], clausify(cp2)).
% 113.66/110.12  cnf(12, plain, [-(convergent_lines(_19844, _19889)), -(unorthogonal_lines(_19844, _19889))], clausify(occu1)).
% 113.66/110.12  cnf(13, plain, [unorthogonal_lines(orthogonal_through_point(_20941, _20897), _20941)], clausify(ooc1)).
% 113.66/110.12  cnf(14, plain, [apart_point_and_line(_21184, orthogonal_through_point(_21228, _21184))], clausify(ooc2)).
% 113.66/110.12  
% 113.66/110.12  cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(2)).
% 113.66/110.12  cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(apart_point_and_line(3 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(4 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])))],extension(6,bind([[_15934, _16091, _16013, _16168], [3 ^ [], line_connecting(1 ^ [], 2 ^ []), 4 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])]]))).
% 113.66/110.12  cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []))), convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), -(convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])))],extension(8,bind([[_17755, _17699, _17810], [line_connecting(1 ^ [], 2 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])]]))).
% 113.66/110.12  cnf('1.1.1.1',plain,[-(convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ []))), -(unorthogonal_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(12,bind([[_19844, _19889], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 113.66/110.12  cnf('1.1.1.1.1',plain,[unorthogonal_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ []))],extension(13,bind([[_20897, _20941], [3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 113.66/110.12  cnf('1.1.1.2',plain,[convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])), -(convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))), -(convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])))],extension(5,bind([[_13975, _14031, _14086], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 113.66/110.12  cnf('1.1.1.2.1',plain,[convergent_lines(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))],extension(4,bind([[_12849], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 113.66/110.12  cnf('1.1.1.2.2',plain,[convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))],extension(10,bind([[_18681, _18725], [4 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 113.66/110.12  cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(1)).
% 113.66/110.12  cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ [])), -(distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))), -(apart_point_and_line(3 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])))],extension(7,bind([[_17298, _17242, _17353], [parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), 3 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 113.66/110.12  cnf('1.1.3.1',plain,[distinct_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])), -(convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])))],extension(9,bind([[_18361, _18406], [parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 113.66/110.12  cnf('1.1.3.1.1',plain,[convergent_lines(parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []), orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))],extension(10,bind([[_18681, _18725], [4 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 113.66/110.12  cnf('1.1.3.2',plain,[apart_point_and_line(3 ^ [], orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))],extension(14,bind([[_21228, _21184], [line_connecting(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 113.66/110.12  cnf('1.1.4',plain,[apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(3)).
% 113.66/110.12  cnf('1.1.5',plain,[apart_point_and_line(4 ^ [], parallel_through_point(orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []))],extension(11,bind([[_19012, _18968], [orthogonal_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), 4 ^ []]]))).
% 113.66/110.12  %-----------------------------------------------------
% 113.66/110.13  
% 113.66/110.13  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------