TSTP Solution File: GEO208+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 05:03:42 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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 22:23:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(con, conjecture, ! [_39359, _39362, _39365] : (incident_point_and_line(_39359, _39362) & incident_point_and_line(_39359, _39365) & parallel_lines(_39362, _39365) => equal_lines(_39362, _39365)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.32/1.41 fof(ci3, axiom, ! [_39591, _39594] : (convergent_lines(_39591, _39594) => ~ apart_point_and_line(intersection_point(_39591, _39594), _39591)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.32/1.41 fof(ci4, axiom, ! [_39760, _39763] : (convergent_lines(_39760, _39763) => ~ apart_point_and_line(intersection_point(_39760, _39763), _39763)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.32/1.41 fof(p1, axiom, ! [_39933, _39936] : (distinct_lines(_39933, _39936) => convergent_lines(_39933, _39936)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.32/1.41 fof(cup1, axiom, ! [_40081, _40084, _40087] : (distinct_lines(_40084, _40087) => apart_point_and_line(_40081, _40084) | apart_point_and_line(_40081, _40087) | convergent_lines(_40084, _40087)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax', cup1)).
% 0.32/1.41 fof(ax2, axiom, ! [_40315, _40318] : (equal_lines(_40315, _40318) <=> ~ distinct_lines(_40315, _40318)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', ax2)).
% 0.32/1.41 fof(a3, axiom, ! [_40468, _40471] : (parallel_lines(_40468, _40471) <=> ~ convergent_lines(_40468, _40471)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a3)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(parallel_lines(2 ^ [], 3 ^ []))], clausify(con)).
% 0.32/1.41 cnf(2, plain, [equal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.32/1.41 cnf(3, plain, [convergent_lines(_15038, _15088), apart_point_and_line(intersection_point(_15038, _15088), _15038)], clausify(ci3)).
% 0.32/1.41 cnf(4, plain, [convergent_lines(_15411, _15461), apart_point_and_line(intersection_point(_15411, _15461), _15461)], clausify(ci4)).
% 0.32/1.41 cnf(5, plain, [distinct_lines(_18211, _18256), -(convergent_lines(_18211, _18256))], clausify(p1)).
% 0.32/1.41 cnf(6, plain, [distinct_lines(_19157, _19218), -(apart_point_and_line(_19095, _19157)), -(apart_point_and_line(_19095, _19218)), -(convergent_lines(_19157, _19218))], clausify(cup1)).
% 0.32/1.41 cnf(7, plain, [-(equal_lines(_25949, _25996)), -(distinct_lines(_25949, _25996))], clausify(ax2)).
% 0.32/1.41 cnf(8, plain, [parallel_lines(_26279, _26326), convergent_lines(_26279, _26326)], clausify(a3)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[convergent_lines(2 ^ [], 3 ^ []), apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])],start(3,bind([[_15088, _15038], [3 ^ [], 2 ^ []]]))).
% 0.32/1.41 cnf('1.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), distinct_lines(2 ^ [], 3 ^ [])],extension(5,bind([[_18211, _18256], [2 ^ [], 3 ^ []]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), -(equal_lines(2 ^ [], 3 ^ []))],extension(7,bind([[_25949, _25996], [2 ^ [], 3 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1',plain,[equal_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.2',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])), distinct_lines(2 ^ [], 3 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ [])), -(convergent_lines(2 ^ [], 3 ^ []))],extension(6,bind([[_19095, _19157, _19218], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 3 ^ []]]))).
% 0.32/1.41 cnf('1.2.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), -(equal_lines(2 ^ [], 3 ^ []))],extension(7,bind([[_25949, _25996], [2 ^ [], 3 ^ []]]))).
% 0.32/1.41 cnf('1.2.1.1',plain,[equal_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.32/1.41 cnf('1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []), convergent_lines(2 ^ [], 3 ^ [])],extension(4,bind([[_15411, _15461], [2 ^ [], 3 ^ []]]))).
% 0.32/1.41 cnf('1.2.2.1',plain,[-(convergent_lines(2 ^ [], 3 ^ []))],lemmata('1')).
% 0.32/1.41 cnf('1.2.3',plain,[convergent_lines(2 ^ [], 3 ^ []), parallel_lines(2 ^ [], 3 ^ [])],extension(8,bind([[_26279, _26326], [2 ^ [], 3 ^ []]]))).
% 0.32/1.41 cnf('1.2.3.1',plain,[-(parallel_lines(2 ^ [], 3 ^ []))],extension(1)).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41
% 0.32/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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