TSTP Solution File: GEO206+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% 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 05:03:40 EDT 2022

% Result   : Theorem 0.40s 1.39s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO206+3 : TPTP v8.1.0. Bugfixed v4.0.1.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sat Jun 18 15:46:23 EDT 2022
% 0.17/0.33  % CPUTime  : 
% 0.40/1.39  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40  
% 0.40/1.40  %-----------------------------------------------------
% 0.40/1.40  fof(con, conjecture, ! [_38003, _38006, _38009] : (incident_point_and_line(_38003, _38006) & parallel_lines(_38006, _38009) => equal_lines(_38006, parallel_through_point(_38009, _38003))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.40/1.40  fof(ax6, axiom, ! [_38220, _38223, _38226] : (convergent_lines(_38220, _38223) => convergent_lines(_38220, _38226) | convergent_lines(_38223, _38226)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.40/1.40  fof(p1, axiom, ! [_38413, _38416] : (distinct_lines(_38413, _38416) => convergent_lines(_38413, _38416)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.40/1.40  fof(cp1, axiom, ! [_38559, _38562] : ~ convergent_lines(parallel_through_point(_38562, _38559), _38562), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.40/1.40  fof(ax2, axiom, ! [_38723, _38726] : (equal_lines(_38723, _38726) <=> ~ distinct_lines(_38723, _38726)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.40/1.40  fof(a3, axiom, ! [_38876, _38879] : (parallel_lines(_38876, _38879) <=> ~ convergent_lines(_38876, _38879)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 0.40/1.40  
% 0.40/1.40  cnf(1, plain, [-(parallel_lines(2 ^ [], 3 ^ []))], clausify(con)).
% 0.40/1.40  cnf(2, plain, [equal_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ []))], clausify(con)).
% 0.40/1.40  cnf(3, plain, [convergent_lines(_13801, _13857), -(convergent_lines(_13801, _13912)), -(convergent_lines(_13857, _13912))], clausify(ax6)).
% 0.40/1.40  cnf(4, plain, [distinct_lines(_18187, _18232), -(convergent_lines(_18187, _18232))], clausify(p1)).
% 0.40/1.40  cnf(5, plain, [convergent_lines(parallel_through_point(_18551, _18507), _18551)], clausify(cp1)).
% 0.40/1.40  cnf(6, plain, [-(equal_lines(_25925, _25972)), -(distinct_lines(_25925, _25972))], clausify(ax2)).
% 0.40/1.40  cnf(7, plain, [parallel_lines(_26255, _26302), convergent_lines(_26255, _26302)], clausify(a3)).
% 0.40/1.40  
% 0.40/1.40  cnf('1',plain,[convergent_lines(parallel_through_point(3 ^ [], 1 ^ []), 3 ^ [])],start(5,bind([[_18507, _18551], [1 ^ [], 3 ^ []]]))).
% 0.40/1.40  cnf('1.1',plain,[-(convergent_lines(parallel_through_point(3 ^ [], 1 ^ []), 3 ^ [])), convergent_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])), -(convergent_lines(2 ^ [], 3 ^ []))],extension(3,bind([[_13857, _13801, _13912], [parallel_through_point(3 ^ [], 1 ^ []), 2 ^ [], 3 ^ []]]))).
% 0.40/1.40  cnf('1.1.1',plain,[-(convergent_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ []))), distinct_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ []))],extension(4,bind([[_18187, _18232], [2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])]]))).
% 0.40/1.40  cnf('1.1.1.1',plain,[-(distinct_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ []))), -(equal_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])))],extension(6,bind([[_25925, _25972], [2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])]]))).
% 0.40/1.40  cnf('1.1.1.1.1',plain,[equal_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ []))],extension(2)).
% 0.40/1.40  cnf('1.1.2',plain,[convergent_lines(2 ^ [], 3 ^ []), parallel_lines(2 ^ [], 3 ^ [])],extension(7,bind([[_26255, _26302], [2 ^ [], 3 ^ []]]))).
% 0.40/1.40  cnf('1.1.2.1',plain,[-(parallel_lines(2 ^ [], 3 ^ []))],extension(1)).
% 0.40/1.40  %-----------------------------------------------------
% 0.40/1.41  
% 0.40/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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