TSTP Solution File: GEO186+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 05:03:22 EDT 2022
% Result : Theorem 0.34s 1.39s
% Output : Proof 0.34s
% 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 : GEO186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 : Fri Jun 17 17:19:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.34/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 fof(con, conjecture, ! [_19617, _19620, _19623, _19626] : (distinct_points(_19617, _19620) & convergent_lines(_19623, _19626) & ~ apart_point_and_line(_19617, _19623) & ~ apart_point_and_line(_19617, _19626) => ~ distinct_points(_19617, intersection_point(_19623, _19626))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.34/1.41 fof(apart1, axiom, ! [_19939] : ~ distinct_points(_19939, _19939), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.34/1.41 fof(apart3, axiom, ! [_20054] : ~ convergent_lines(_20054, _20054), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.34/1.41 fof(apart4, axiom, ! [_20168, _20171, _20174] : (distinct_points(_20168, _20171) => distinct_points(_20168, _20174) | distinct_points(_20171, _20174)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.34/1.41 fof(ci3, axiom, ! [_20357, _20360] : (convergent_lines(_20357, _20360) => ~ apart_point_and_line(intersection_point(_20357, _20360), _20357)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.34/1.41 fof(ci4, axiom, ! [_20526, _20529] : (convergent_lines(_20526, _20529) => ~ apart_point_and_line(intersection_point(_20526, _20529), _20529)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.34/1.41 fof(cu1, axiom, ! [_20695, _20698, _20701, _20704] : (distinct_points(_20695, _20698) & distinct_lines(_20701, _20704) => apart_point_and_line(_20695, _20701) | apart_point_and_line(_20695, _20704) | apart_point_and_line(_20698, _20701) | apart_point_and_line(_20698, _20704)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.34/1.41 fof(ceq3, axiom, ! [_20977, _20980, _20983] : (convergent_lines(_20977, _20980) => distinct_lines(_20980, _20983) | convergent_lines(_20977, _20983)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.34/1.41
% 0.34/1.41 cnf(1, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.34/1.41 cnf(2, plain, [apart_point_and_line(1 ^ [], 3 ^ [])], clausify(con)).
% 0.34/1.41 cnf(3, plain, [apart_point_and_line(1 ^ [], 4 ^ [])], clausify(con)).
% 0.34/1.41 cnf(4, plain, [-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))], clausify(con)).
% 0.34/1.41 cnf(5, plain, [distinct_points(_6271, _6271)], clausify(apart1)).
% 0.34/1.41 cnf(6, plain, [convergent_lines(_6655, _6655)], clausify(apart3)).
% 0.34/1.41 cnf(7, plain, [distinct_points(_6847, _6903), -(distinct_points(_6847, _6958)), -(distinct_points(_6903, _6958))], clausify(apart4)).
% 0.34/1.41 cnf(8, plain, [convergent_lines(_8994, _9044), apart_point_and_line(intersection_point(_8994, _9044), _8994)], clausify(ci3)).
% 0.34/1.41 cnf(9, plain, [convergent_lines(_9367, _9417), apart_point_and_line(intersection_point(_9367, _9417), _9417)], clausify(ci4)).
% 0.34/1.41 cnf(10, plain, [distinct_lines(_9897, _9974), distinct_points(_9740, _9819), -(apart_point_and_line(_9740, _9897)), -(apart_point_and_line(_9740, _9974)), -(apart_point_and_line(_9819, _9897)), -(apart_point_and_line(_9819, _9974))], clausify(cu1)).
% 0.34/1.41 cnf(11, plain, [convergent_lines(_11505, _11561), -(distinct_lines(_11561, _11616)), -(convergent_lines(_11505, _11616))], clausify(ceq3)).
% 0.34/1.41
% 0.34/1.41 cnf('1',plain,[convergent_lines(3 ^ [], 4 ^ []), apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])],start(8,bind([[_9044, _8994], [4 ^ [], 3 ^ []]]))).
% 0.34/1.41 cnf('1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])), distinct_lines(4 ^ [], 3 ^ []), distinct_points(intersection_point(3 ^ [], 4 ^ []), 1 ^ []), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ [])), -(apart_point_and_line(1 ^ [], 4 ^ [])), -(apart_point_and_line(1 ^ [], 3 ^ []))],extension(10,bind([[_9740, _9897, _9819, _9974], [intersection_point(3 ^ [], 4 ^ []), 4 ^ [], 1 ^ [], 3 ^ []]]))).
% 0.34/1.41 cnf('1.2.1',plain,[-(distinct_lines(4 ^ [], 3 ^ [])), convergent_lines(3 ^ [], 4 ^ []), -(convergent_lines(3 ^ [], 3 ^ []))],extension(11,bind([[_11561, _11505, _11616], [4 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.34/1.41 cnf('1.2.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.2.1.2',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(6,bind([[_6655], [3 ^ []]]))).
% 0.34/1.41 cnf('1.2.2',plain,[-(distinct_points(intersection_point(3 ^ [], 4 ^ []), 1 ^ [])), distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])), -(distinct_points(1 ^ [], 1 ^ []))],extension(7,bind([[_6903, _6847, _6958], [intersection_point(3 ^ [], 4 ^ []), 1 ^ [], 1 ^ []]]))).
% 0.34/1.41 cnf('1.2.2.1',plain,[-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))],extension(4)).
% 0.34/1.41 cnf('1.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(5,bind([[_6271], [1 ^ []]]))).
% 0.34/1.41 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_9367, _9417], [3 ^ [], 4 ^ []]]))).
% 0.34/1.41 cnf('1.2.3.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.2.4',plain,[apart_point_and_line(1 ^ [], 4 ^ [])],extension(3)).
% 0.34/1.41 cnf('1.2.5',plain,[apart_point_and_line(1 ^ [], 3 ^ [])],extension(2)).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41
% 0.34/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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