TSTP Solution File: GEO172+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO172+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 05:03:12 EDT 2022
% Result : Theorem 0.32s 1.39s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO172+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 00:49:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.40
% 0.39/1.40 %-----------------------------------------------------
% 0.39/1.40 fof(con, conjecture, ! [_40836, _40839, _40842] : (convergent_lines(_40836, _40839) & incident_point_and_line(_40842, _40836) & incident_point_and_line(_40842, _40839) => equal_points(_40842, intersection_point(_40836, _40839))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.39/1.40 fof(apart2, axiom, ! [_41099] : ~ distinct_lines(_41099, _41099), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart2)).
% 0.39/1.40 fof(apart3, axiom, ! [_41213] : ~ convergent_lines(_41213, _41213), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart3)).
% 0.39/1.40 fof(apart5, axiom, ! [_41328, _41331, _41334] : (distinct_lines(_41328, _41331) => distinct_lines(_41328, _41334) | distinct_lines(_41331, _41334)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.39/1.40 fof(ci3, axiom, ! [_41516, _41519] : (convergent_lines(_41516, _41519) => ~ apart_point_and_line(intersection_point(_41516, _41519), _41516)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci3)).
% 0.39/1.40 fof(ci4, axiom, ! [_41685, _41688] : (convergent_lines(_41685, _41688) => ~ apart_point_and_line(intersection_point(_41685, _41688), _41688)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci4)).
% 0.39/1.40 fof(cu1, axiom, ! [_41854, _41857, _41860, _41863] : (distinct_points(_41854, _41857) & distinct_lines(_41860, _41863) => apart_point_and_line(_41854, _41860) | apart_point_and_line(_41854, _41863) | apart_point_and_line(_41857, _41860) | apart_point_and_line(_41857, _41863)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.39/1.40 fof(ceq3, axiom, ! [_42136, _42139, _42142] : (convergent_lines(_42136, _42139) => distinct_lines(_42139, _42142) | convergent_lines(_42136, _42142)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq3)).
% 0.39/1.40 fof(ax1, axiom, ! [_42344, _42347] : (equal_points(_42344, _42347) <=> ~ distinct_points(_42344, _42347)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', ax1)).
% 0.39/1.40 fof(a4, axiom, ! [_42501, _42504] : (incident_point_and_line(_42501, _42504) <=> ~ apart_point_and_line(_42501, _42504)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.39/1.40
% 0.39/1.40 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.39/1.40 cnf(2, plain, [-(incident_point_and_line(3 ^ [], 1 ^ []))], clausify(con)).
% 0.39/1.40 cnf(3, plain, [-(incident_point_and_line(3 ^ [], 2 ^ []))], clausify(con)).
% 0.39/1.40 cnf(4, plain, [equal_points(3 ^ [], intersection_point(1 ^ [], 2 ^ []))], clausify(con)).
% 0.39/1.40 cnf(5, plain, [distinct_lines(_12467, _12467)], clausify(apart2)).
% 0.39/1.40 cnf(6, plain, [convergent_lines(_12659, _12659)], clausify(apart3)).
% 0.39/1.40 cnf(7, plain, [distinct_lines(_13318, _13374), -(distinct_lines(_13318, _13429)), -(distinct_lines(_13374, _13429))], clausify(apart5)).
% 0.39/1.40 cnf(8, plain, [convergent_lines(_14998, _15048), apart_point_and_line(intersection_point(_14998, _15048), _14998)], clausify(ci3)).
% 0.39/1.40 cnf(9, plain, [convergent_lines(_15371, _15421), apart_point_and_line(intersection_point(_15371, _15421), _15421)], clausify(ci4)).
% 0.39/1.40 cnf(10, plain, [distinct_lines(_15901, _15978), distinct_points(_15744, _15823), -(apart_point_and_line(_15744, _15901)), -(apart_point_and_line(_15744, _15978)), -(apart_point_and_line(_15823, _15901)), -(apart_point_and_line(_15823, _15978))], clausify(cu1)).
% 0.39/1.40 cnf(11, plain, [convergent_lines(_17509, _17565), -(distinct_lines(_17565, _17620)), -(convergent_lines(_17509, _17620))], clausify(ceq3)).
% 0.39/1.40 cnf(12, plain, [-(equal_points(_25579, _25626)), -(distinct_points(_25579, _25626))], clausify(ax1)).
% 0.39/1.40 cnf(13, plain, [incident_point_and_line(_26569, _26616), apart_point_and_line(_26569, _26616)], clausify(a4)).
% 0.39/1.40
% 0.39/1.40 cnf('1',plain,[distinct_lines(2 ^ [], 2 ^ [])],start(5,bind([[_12467], [2 ^ []]]))).
% 0.39/1.40 cnf('1.1',plain,[-(distinct_lines(2 ^ [], 2 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 2 ^ []))],extension(7,bind([[_13318, _13374, _13429], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 0.39/1.40 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(11,bind([[_17565, _17509, _17620], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.39/1.40 cnf('1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.39/1.40 cnf('1.1.1.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(6,bind([[_12659], [1 ^ []]]))).
% 0.39/1.40 cnf('1.1.2',plain,[distinct_lines(1 ^ [], 2 ^ []), distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], 1 ^ [])), -(apart_point_and_line(3 ^ [], 2 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []))],extension(10,bind([[_15744, _15901, _15823, _15978], [3 ^ [], 1 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ []]]))).
% 0.39/1.40 cnf('1.1.2.1',plain,[-(distinct_points(3 ^ [], intersection_point(1 ^ [], 2 ^ []))), -(equal_points(3 ^ [], intersection_point(1 ^ [], 2 ^ [])))],extension(12,bind([[_25579, _25626], [3 ^ [], intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.39/1.40 cnf('1.1.2.1.1',plain,[equal_points(3 ^ [], intersection_point(1 ^ [], 2 ^ []))],extension(4)).
% 0.39/1.40 cnf('1.1.2.2',plain,[apart_point_and_line(3 ^ [], 1 ^ []), incident_point_and_line(3 ^ [], 1 ^ [])],extension(13,bind([[_26569, _26616], [3 ^ [], 1 ^ []]]))).
% 0.39/1.40 cnf('1.1.2.2.1',plain,[-(incident_point_and_line(3 ^ [], 1 ^ []))],extension(2)).
% 0.39/1.40 cnf('1.1.2.3',plain,[apart_point_and_line(3 ^ [], 2 ^ []), incident_point_and_line(3 ^ [], 2 ^ [])],extension(13,bind([[_26569, _26616], [3 ^ [], 2 ^ []]]))).
% 0.39/1.40 cnf('1.1.2.3.1',plain,[-(incident_point_and_line(3 ^ [], 2 ^ []))],extension(3)).
% 0.39/1.40 cnf('1.1.2.4',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(8,bind([[_14998, _15048], [1 ^ [], 2 ^ []]]))).
% 0.39/1.40 cnf('1.1.2.4.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.39/1.40 cnf('1.1.2.5',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ [])],extension(9,bind([[_15371, _15421], [1 ^ [], 2 ^ []]]))).
% 0.39/1.40 cnf('1.1.2.5.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.39/1.40 %-----------------------------------------------------
% 0.39/1.41
% 0.39/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------