TSTP Solution File: GEO203+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 05:03:38 EDT 2022
% Result : Theorem 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n022.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 18:44:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(con, conjecture, ! [_39863, _39866, _39869] : (convergent_lines(_39863, _39866) & convergent_lines(_39863, _39869) & distinct_points(intersection_point(_39863, _39866), intersection_point(_39863, _39869)) => equal_lines(line_connecting(intersection_point(_39863, _39866), intersection_point(_39863, _39869)), _39863)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.33/1.41 fof(ci1, axiom, ! [_40195, _40198] : (distinct_points(_40195, _40198) => ~ apart_point_and_line(_40195, line_connecting(_40195, _40198))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.33/1.41 fof(ci2, axiom, ! [_40364, _40367] : (distinct_points(_40364, _40367) => ~ apart_point_and_line(_40367, line_connecting(_40364, _40367))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.33/1.41 fof(ci3, axiom, ! [_40533, _40536] : (convergent_lines(_40533, _40536) => ~ apart_point_and_line(intersection_point(_40533, _40536), _40533)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.33/1.41 fof(cu1, axiom, ! [_40703, _40706, _40709, _40712] : (distinct_points(_40703, _40706) & distinct_lines(_40709, _40712) => apart_point_and_line(_40703, _40709) | apart_point_and_line(_40703, _40712) | apart_point_and_line(_40706, _40709) | apart_point_and_line(_40706, _40712)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.33/1.41 fof(ax2, axiom, ! [_41011, _41014] : (equal_lines(_41011, _41014) <=> ~ distinct_lines(_41011, _41014)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.33/1.41 cnf(2, plain, [-(convergent_lines(1 ^ [], 3 ^ []))], clausify(con)).
% 0.33/1.41 cnf(3, plain, [-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))], clausify(con)).
% 0.33/1.41 cnf(4, plain, [equal_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ [])], clausify(con)).
% 0.33/1.41 cnf(5, plain, [distinct_points(_14316, _14366), apart_point_and_line(_14316, line_connecting(_14316, _14366))], clausify(ci1)).
% 0.33/1.41 cnf(6, plain, [distinct_points(_14689, _14739), apart_point_and_line(_14739, line_connecting(_14689, _14739))], clausify(ci2)).
% 0.33/1.41 cnf(7, plain, [convergent_lines(_15062, _15112), apart_point_and_line(intersection_point(_15062, _15112), _15062)], clausify(ci3)).
% 0.33/1.41 cnf(8, plain, [distinct_lines(_15965, _16042), distinct_points(_15808, _15887), -(apart_point_and_line(_15808, _15965)), -(apart_point_and_line(_15808, _16042)), -(apart_point_and_line(_15887, _15965)), -(apart_point_and_line(_15887, _16042))], clausify(cu1)).
% 0.33/1.41 cnf(9, plain, [-(equal_lines(_25973, _26020)), -(distinct_lines(_25973, _26020))], clausify(ax2)).
% 0.33/1.41
% 0.33/1.41 cnf('1',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],start(5,bind([[_14316, _14366], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.33/1.41 cnf('1.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.33/1.41 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))), distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))), -(apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []))],extension(8,bind([[_15808, _15965, _15887, _16042], [intersection_point(1 ^ [], 2 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), intersection_point(1 ^ [], 3 ^ []), 1 ^ []]]))).
% 0.33/1.41 cnf('1.2.1',plain,[-(distinct_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ [])), -(equal_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []))],extension(9,bind([[_25973, _26020], [line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ []]]))).
% 0.33/1.41 cnf('1.2.1.1',plain,[equal_lines(line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])), 1 ^ [])],extension(4)).
% 0.33/1.41 cnf('1.2.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.33/1.41 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_15062, _15112], [1 ^ [], 2 ^ []]]))).
% 0.33/1.41 cnf('1.2.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.41 cnf('1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), line_connecting(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ []))],extension(6,bind([[_14689, _14739], [intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])]]))).
% 0.33/1.41 cnf('1.2.4.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 3 ^ [])))],extension(3)).
% 0.33/1.41 cnf('1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 3 ^ []), 1 ^ []), convergent_lines(1 ^ [], 3 ^ [])],extension(7,bind([[_15062, _15112], [1 ^ [], 3 ^ []]]))).
% 0.33/1.41 cnf('1.2.5.1',plain,[-(convergent_lines(1 ^ [], 3 ^ []))],extension(2)).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.42
% 0.33/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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