TSTP Solution File: GEO179+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 05:03:18 EDT 2022
% Result : Theorem 0.37s 1.45s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 18:44:42 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.37/1.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/1.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/1.47
% 0.48/1.47 %-----------------------------------------------------
% 0.48/1.47 fof(con, conjecture, ! [_40401, _40404, _40407] : (distinct_points(_40401, _40404) & apart_point_and_line(_40407, line_connecting(_40401, _40404)) => distinct_lines(line_connecting(_40401, _40404), line_connecting(_40407, _40401)) & distinct_lines(line_connecting(_40401, _40404), line_connecting(_40407, _40404))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.48/1.47 fof(apart5, axiom, ! [_40709, _40712, _40715] : (distinct_lines(_40709, _40712) => distinct_lines(_40709, _40715) | distinct_lines(_40712, _40715)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', apart5)).
% 0.48/1.47 fof(ceq2, axiom, ! [_40901, _40904, _40907] : (apart_point_and_line(_40901, _40904) => distinct_lines(_40904, _40907) | apart_point_and_line(_40901, _40907)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.48/1.47 fof(p1, axiom, ! [_41087, _41090] : (distinct_lines(_41087, _41090) => convergent_lines(_41087, _41090)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax', p1)).
% 0.48/1.47 fof(cp1, axiom, ! [_41233, _41236] : ~ convergent_lines(parallel_through_point(_41236, _41233), _41236), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.48/1.47 fof(cp2, axiom, ! [_41374, _41377] : ~ apart_point_and_line(_41374, parallel_through_point(_41377, _41374)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp2)).
% 0.48/1.47
% 0.48/1.47 cnf(1, plain, [-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.48/1.47 cnf(2, plain, [distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 1 ^ [])), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))], clausify(con)).
% 0.48/1.47 cnf(3, plain, [distinct_lines(_13382, _13438), -(distinct_lines(_13382, _13493)), -(distinct_lines(_13438, _13493))], clausify(apart5)).
% 0.48/1.47 cnf(4, plain, [apart_point_and_line(_17116, _17172), -(distinct_lines(_17172, _17227)), -(apart_point_and_line(_17116, _17227))], clausify(ceq2)).
% 0.48/1.47 cnf(5, plain, [distinct_lines(_18235, _18280), -(convergent_lines(_18235, _18280))], clausify(p1)).
% 0.48/1.47 cnf(6, plain, [convergent_lines(parallel_through_point(_18599, _18555), _18599)], clausify(cp1)).
% 0.48/1.47 cnf(7, plain, [apart_point_and_line(_18842, parallel_through_point(_18886, _18842))], clausify(cp2)).
% 0.48/1.47
% 0.48/1.47 cnf('1',plain,[distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 1 ^ [])), distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))],start(2)).
% 0.48/1.47 cnf('1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 1 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ [])), -(distinct_lines(parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []), line_connecting(3 ^ [], 1 ^ [])))],extension(3,bind([[_13382, _13438, _13493], [line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []), line_connecting(3 ^ [], 1 ^ [])]]))).
% 0.48/1.47 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ [])))],extension(4,bind([[_17172, _17116, _17227], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ [])]]))).
% 0.48/1.47 cnf('1.1.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(1)).
% 0.48/1.47 cnf('1.1.1.2',plain,[apart_point_and_line(3 ^ [], parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []))],extension(7,bind([[_18886, _18842], [line_connecting(3 ^ [], 1 ^ []), 3 ^ []]]))).
% 0.48/1.47 cnf('1.1.2',plain,[distinct_lines(parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []), line_connecting(3 ^ [], 1 ^ [])), -(convergent_lines(parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []), line_connecting(3 ^ [], 1 ^ [])))],extension(5,bind([[_18235, _18280], [parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []), line_connecting(3 ^ [], 1 ^ [])]]))).
% 0.48/1.47 cnf('1.1.2.1',plain,[convergent_lines(parallel_through_point(line_connecting(3 ^ [], 1 ^ []), 3 ^ []), line_connecting(3 ^ [], 1 ^ []))],extension(6,bind([[_18555, _18599], [3 ^ [], line_connecting(3 ^ [], 1 ^ [])]]))).
% 0.48/1.47 cnf('1.2',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), line_connecting(3 ^ [], 2 ^ []))), distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ [])), -(distinct_lines(parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []), line_connecting(3 ^ [], 2 ^ [])))],extension(3,bind([[_13382, _13438, _13493], [line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []), line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.48/1.47 cnf('1.2.1',plain,[-(distinct_lines(line_connecting(1 ^ [], 2 ^ []), parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []))), apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), -(apart_point_and_line(3 ^ [], parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ [])))],extension(4,bind([[_17172, _17116, _17227], [line_connecting(1 ^ [], 2 ^ []), 3 ^ [], parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ [])]]))).
% 0.48/1.47 cnf('1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(1)).
% 0.48/1.47 cnf('1.2.1.2',plain,[apart_point_and_line(3 ^ [], parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []))],extension(7,bind([[_18886, _18842], [line_connecting(3 ^ [], 2 ^ []), 3 ^ []]]))).
% 0.48/1.47 cnf('1.2.2',plain,[distinct_lines(parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []), line_connecting(3 ^ [], 2 ^ [])), -(convergent_lines(parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []), line_connecting(3 ^ [], 2 ^ [])))],extension(5,bind([[_18235, _18280], [parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []), line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.48/1.47 cnf('1.2.2.1',plain,[convergent_lines(parallel_through_point(line_connecting(3 ^ [], 2 ^ []), 3 ^ []), line_connecting(3 ^ [], 2 ^ []))],extension(6,bind([[_18555, _18599], [3 ^ [], line_connecting(3 ^ [], 2 ^ [])]]))).
% 0.48/1.47 %-----------------------------------------------------
% 0.48/1.48
% 0.48/1.48 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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