TSTP Solution File: GEO201+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO201+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 05:03:36 EDT 2022
% Result : Theorem 0.36s 1.42s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO201+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 01:08:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.36/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.44
% 0.36/1.44 %-----------------------------------------------------
% 0.36/1.44 fof(con, conjecture, ! [_41178, _41181] : (convergent_lines(_41178, _41181) => equal_points(intersection_point(_41178, _41181), intersection_point(_41181, _41178))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.36/1.44 fof(apart1, axiom, ! [_41367] : ~ distinct_points(_41367, _41367), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.36/1.44 fof(apart3, axiom, ! [_41482] : ~ convergent_lines(_41482, _41482), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.36/1.44 fof(apart4, axiom, ! [_41596, _41599, _41602] : (distinct_points(_41596, _41599) => distinct_points(_41596, _41602) | distinct_points(_41599, _41602)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.36/1.44 fof(ci3, axiom, ! [_41785, _41788] : (convergent_lines(_41785, _41788) => ~ apart_point_and_line(intersection_point(_41785, _41788), _41785)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.36/1.44 fof(ci4, axiom, ! [_41954, _41957] : (convergent_lines(_41954, _41957) => ~ apart_point_and_line(intersection_point(_41954, _41957), _41957)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.36/1.44 fof(cu1, axiom, ! [_42123, _42126, _42129, _42132] : (distinct_points(_42123, _42126) & distinct_lines(_42129, _42132) => apart_point_and_line(_42123, _42129) | apart_point_and_line(_42123, _42132) | apart_point_and_line(_42126, _42129) | apart_point_and_line(_42126, _42132)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.36/1.44 fof(ceq3, axiom, ! [_42405, _42408, _42411] : (convergent_lines(_42405, _42408) => distinct_lines(_42408, _42411) | convergent_lines(_42405, _42411)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.36/1.44 fof(p1, axiom, ! [_42590, _42593] : (distinct_lines(_42590, _42593) => convergent_lines(_42590, _42593)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.36/1.44 fof(ax1, axiom, ! [_42758, _42761] : (equal_points(_42758, _42761) <=> ~ distinct_points(_42758, _42761)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax1)).
% 0.36/1.44
% 0.36/1.44 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.36/1.44 cnf(2, plain, [equal_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []))], clausify(con)).
% 0.36/1.44 cnf(3, plain, [distinct_points(_12241, _12241)], clausify(apart1)).
% 0.36/1.44 cnf(4, plain, [convergent_lines(_12625, _12625)], clausify(apart3)).
% 0.36/1.44 cnf(5, plain, [distinct_points(_12817, _12873), -(distinct_points(_12817, _12928)), -(distinct_points(_12873, _12928))], clausify(apart4)).
% 0.36/1.44 cnf(6, plain, [convergent_lines(_14964, _15014), apart_point_and_line(intersection_point(_14964, _15014), _14964)], clausify(ci3)).
% 0.36/1.44 cnf(7, plain, [convergent_lines(_15337, _15387), apart_point_and_line(intersection_point(_15337, _15387), _15387)], clausify(ci4)).
% 0.36/1.44 cnf(8, plain, [distinct_lines(_15867, _15944), distinct_points(_15710, _15789), -(apart_point_and_line(_15710, _15867)), -(apart_point_and_line(_15710, _15944)), -(apart_point_and_line(_15789, _15867)), -(apart_point_and_line(_15789, _15944))], clausify(cu1)).
% 0.36/1.44 cnf(9, plain, [convergent_lines(_17475, _17531), -(distinct_lines(_17531, _17586)), -(convergent_lines(_17475, _17586))], clausify(ceq3)).
% 0.36/1.44 cnf(10, plain, [distinct_lines(_18137, _18182), -(convergent_lines(_18137, _18182))], clausify(p1)).
% 0.36/1.44 cnf(11, plain, [-(equal_points(_25545, _25592)), -(distinct_points(_25545, _25592))], clausify(ax1)).
% 0.36/1.44
% 0.36/1.44 cnf('1',plain,[convergent_lines(1 ^ [], 2 ^ []), apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])],start(6,bind([[_15014, _14964], [2 ^ [], 1 ^ []]]))).
% 0.36/1.44 cnf('1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.44 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), distinct_lines(2 ^ [], 1 ^ []), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []))],extension(8,bind([[_15710, _15867, _15789, _15944], [intersection_point(1 ^ [], 2 ^ []), 2 ^ [], intersection_point(2 ^ [], 1 ^ []), 1 ^ []]]))).
% 0.36/1.44 cnf('1.2.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(9,bind([[_17531, _17475, _17586], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.36/1.44 cnf('1.2.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.44 cnf('1.2.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(4,bind([[_12625], [1 ^ []]]))).
% 0.36/1.44 cnf('1.2.2',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []))), distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])), -(distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(5,bind([[_12817, _12873, _12928], [intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.36/1.44 cnf('1.2.2.1',plain,[-(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []))), -(equal_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])))],extension(11,bind([[_25545, _25592], [intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.36/1.44 cnf('1.2.2.1.1',plain,[equal_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(2)).
% 0.36/1.44 cnf('1.2.2.2',plain,[distinct_points(intersection_point(2 ^ [], 1 ^ []), intersection_point(2 ^ [], 1 ^ []))],extension(3,bind([[_12241], [intersection_point(2 ^ [], 1 ^ [])]]))).
% 0.36/1.44 cnf('1.2.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(7,bind([[_15337, _15387], [1 ^ [], 2 ^ []]]))).
% 0.36/1.44 cnf('1.2.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.44 cnf('1.2.4',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 2 ^ []), convergent_lines(2 ^ [], 1 ^ [])],extension(6,bind([[_14964, _15014], [2 ^ [], 1 ^ []]]))).
% 0.36/1.44 cnf('1.2.4.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), distinct_lines(2 ^ [], 1 ^ [])],extension(10,bind([[_18137, _18182], [2 ^ [], 1 ^ []]]))).
% 0.36/1.44 cnf('1.2.4.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ []))],lemmata('1.2')).
% 0.36/1.44 cnf('1.2.5',plain,[apart_point_and_line(intersection_point(2 ^ [], 1 ^ []), 1 ^ []), convergent_lines(2 ^ [], 1 ^ [])],extension(7,bind([[_15337, _15387], [2 ^ [], 1 ^ []]]))).
% 0.36/1.44 cnf('1.2.5.1',plain,[-(convergent_lines(2 ^ [], 1 ^ [])), distinct_lines(2 ^ [], 1 ^ [])],extension(10,bind([[_18137, _18182], [2 ^ [], 1 ^ []]]))).
% 0.36/1.44 cnf('1.2.5.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ []))],lemmata('1.2')).
% 0.36/1.44 %-----------------------------------------------------
% 0.36/1.44
% 0.36/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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