TSTP Solution File: GEO206+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 05:03:40 EDT 2022
% Result : Theorem 0.29s 1.38s
% Output : Proof 0.29s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO206+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 02:11:19 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.29/1.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.29/1.39
% 0.29/1.39 %-----------------------------------------------------
% 0.29/1.39 fof(con, conjecture, ! [_19821, _19824, _19827] : (~ apart_point_and_line(_19821, _19824) & ~ convergent_lines(_19824, _19827) => ~ distinct_lines(_19824, parallel_through_point(_19827, _19821))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.29/1.39 fof(cp1, axiom, ! [_20065, _20068] : ~ convergent_lines(parallel_through_point(_20068, _20065), _20068), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp1)).
% 0.29/1.39 fof(cp2, axiom, ! [_20206, _20209] : ~ apart_point_and_line(_20206, parallel_through_point(_20209, _20206)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cp2)).
% 0.29/1.39 fof(cup1, axiom, ! [_20347, _20350, _20353] : (distinct_lines(_20350, _20353) => apart_point_and_line(_20347, _20350) | apart_point_and_line(_20347, _20353) | convergent_lines(_20350, _20353)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cup1)).
% 0.29/1.39 fof(ax6, axiom, ! [_20565, _20568, _20571] : (convergent_lines(_20565, _20568) => convergent_lines(_20565, _20571) | convergent_lines(_20568, _20571)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ax6)).
% 0.29/1.39
% 0.29/1.39 cnf(1, plain, [apart_point_and_line(1 ^ [], 2 ^ [])], clausify(con)).
% 0.29/1.39 cnf(2, plain, [convergent_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.29/1.39 cnf(3, plain, [-(distinct_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])))], clausify(con)).
% 0.29/1.39 cnf(4, plain, [convergent_lines(parallel_through_point(_12939, _12895), _12939)], clausify(cp1)).
% 0.29/1.39 cnf(5, plain, [apart_point_and_line(_13182, parallel_through_point(_13226, _13182))], clausify(cp2)).
% 0.29/1.39 cnf(6, plain, [distinct_lines(_13521, _13582), -(apart_point_and_line(_13459, _13521)), -(apart_point_and_line(_13459, _13582)), -(convergent_lines(_13521, _13582))], clausify(cup1)).
% 0.29/1.39 cnf(7, plain, [convergent_lines(_8509, _8565), -(convergent_lines(_8509, _8620)), -(convergent_lines(_8565, _8620))], clausify(ax6)).
% 0.29/1.39
% 0.29/1.39 cnf('1',plain,[apart_point_and_line(1 ^ [], 2 ^ [])],start(1)).
% 0.29/1.39 cnf('1.1',plain,[-(apart_point_and_line(1 ^ [], 2 ^ [])), distinct_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])), -(apart_point_and_line(1 ^ [], parallel_through_point(3 ^ [], 1 ^ []))), -(convergent_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])))],extension(6,bind([[_13459, _13521, _13582], [1 ^ [], 2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])]]))).
% 0.29/1.39 cnf('1.1.1',plain,[-(distinct_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])))],extension(3)).
% 0.29/1.39 cnf('1.1.2',plain,[apart_point_and_line(1 ^ [], parallel_through_point(3 ^ [], 1 ^ []))],extension(5,bind([[_13226, _13182], [3 ^ [], 1 ^ []]]))).
% 0.29/1.39 cnf('1.1.3',plain,[convergent_lines(2 ^ [], parallel_through_point(3 ^ [], 1 ^ [])), -(convergent_lines(2 ^ [], 3 ^ [])), -(convergent_lines(parallel_through_point(3 ^ [], 1 ^ []), 3 ^ []))],extension(7,bind([[_8509, _8565, _8620], [2 ^ [], parallel_through_point(3 ^ [], 1 ^ []), 3 ^ []]]))).
% 0.29/1.39 cnf('1.1.3.1',plain,[convergent_lines(2 ^ [], 3 ^ [])],extension(2)).
% 0.29/1.39 cnf('1.1.3.2',plain,[convergent_lines(parallel_through_point(3 ^ [], 1 ^ []), 3 ^ [])],extension(4,bind([[_12895, _12939], [1 ^ [], 3 ^ []]]))).
% 0.29/1.39 %-----------------------------------------------------
% 0.29/1.40
% 0.29/1.40 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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