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leanCoP---2.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n003.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 05:03:18 EDT 2022

% Result   : Theorem 0.35s 1.39s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 11:36:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.35/1.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.40  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  fof(con, conjecture, ! [_38160, _38163, _38166] : (distinct_points(_38160, _38163) => apart_point_and_line(_38166, line_connecting(_38160, _38163)) => apart_point_and_line(_38160, line_connecting(_38166, _38163))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.35/1.41  fof(apart2, axiom, ! [_38379] : ~ distinct_lines(_38379, _38379), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.35/1.41  fof(apart5, axiom, ! [_38495, _38498, _38501] : (distinct_lines(_38495, _38498) => distinct_lines(_38495, _38501) | distinct_lines(_38498, _38501)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.35/1.41  fof(ceq2, axiom, ! [_38687, _38690, _38693] : (apart_point_and_line(_38687, _38690) => distinct_lines(_38690, _38693) | apart_point_and_line(_38687, _38693)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.35/1.41  fof(p1, axiom, ! [_38873, _38876] : (distinct_lines(_38873, _38876) => convergent_lines(_38873, _38876)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.35/1.41  fof(cp1, axiom, ! [_39019, _39022] : ~ convergent_lines(parallel_through_point(_39022, _39019), _39022), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.35/1.41  fof(cp2, axiom, ! [_39160, _39163] : ~ apart_point_and_line(_39160, parallel_through_point(_39163, _39160)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp2)).
% 0.35/1.41  
% 0.35/1.41  cnf(1, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.35/1.41  cnf(2, plain, [distinct_lines(_12443, _12443)], clausify(apart2)).
% 0.35/1.41  cnf(3, plain, [distinct_lines(_13294, _13350), -(distinct_lines(_13294, _13405)), -(distinct_lines(_13350, _13405))], clausify(apart5)).
% 0.35/1.41  cnf(4, plain, [apart_point_and_line(_17028, _17084), -(distinct_lines(_17084, _17139)), -(apart_point_and_line(_17028, _17139))], clausify(ceq2)).
% 0.35/1.41  cnf(5, plain, [distinct_lines(_18147, _18192), -(convergent_lines(_18147, _18192))], clausify(p1)).
% 0.35/1.41  cnf(6, plain, [convergent_lines(parallel_through_point(_18511, _18467), _18511)], clausify(cp1)).
% 0.35/1.41  cnf(7, plain, [apart_point_and_line(_18754, parallel_through_point(_18798, _18754))], clausify(cp2)).
% 0.35/1.41  
% 0.35/1.41  cnf('1',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []))],start(2,bind([[_12443], [line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.41  cnf('1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])), -(distinct_lines(parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(3,bind([[_13294, _13350, _13405], [line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.41  cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])))],extension(4,bind([[_17084, _17028, _17139], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ [])]]))).
% 0.35/1.41  cnf('1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(1)).
% 0.35/1.41  cnf('1.1.1.2',plain,[apart_point_and_line(3 ^ [], parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []))],extension(7,bind([[_18798, _18754], [line_connecting(1 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.35/1.41  cnf('1.1.2',plain,[distinct_lines(parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])), -(convergent_lines(parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])))],extension(5,bind([[_18147, _18192], [parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.41  cnf('1.1.2.1',plain,[convergent_lines(parallel_through_point(line_connecting(1 ^ [], 2 ^ []), 3 ^ []), line_connecting(1 ^ [], 2 ^ []))],extension(6,bind([[_18467, _18511], [3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.35/1.41  %-----------------------------------------------------
% 0.35/1.41  
% 0.35/1.41  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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