TSTP Solution File: GEO215+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 05:03:47 EDT 2022
% Result : Theorem 0.34s 1.40s
% Output : Proof 0.34s
% 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 : GEO215+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 14:02:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.41
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.41 fof(con, conjecture, ! [_26127, _26130, _26133] : (convergent_lines(_26127, _26130) => unorthogonal_lines(_26127, _26133) | unorthogonal_lines(_26130, _26133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.34/1.41 fof(ouo1, axiom, ! [_26344, _26347, _26350, _26353] : (distinct_lines(_26347, _26350) => apart_point_and_line(_26344, _26347) | apart_point_and_line(_26344, _26350) | unorthogonal_lines(_26347, _26353) | unorthogonal_lines(_26350, _26353)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax', ouo1)).
% 0.34/1.41 fof(apart1, axiom, ! [_26596] : ~ distinct_points(_26596, _26596), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.34/1.41 fof(apart2, axiom, ! [_26710] : ~ distinct_lines(_26710, _26710), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart2)).
% 0.34/1.41 fof(apart5, axiom, ! [_26826, _26829, _26832] : (distinct_lines(_26826, _26829) => distinct_lines(_26826, _26832) | distinct_lines(_26829, _26832)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', apart5)).
% 0.34/1.41 fof(con2, axiom, ! [_27014, _27017, _27020] : (convergent_lines(_27014, _27017) => apart_point_and_line(_27020, _27014) | apart_point_and_line(_27020, _27017) => distinct_points(_27020, intersection_point(_27014, _27017))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.34/1.41 fof(ceq3, axiom, ! [_27257, _27260] : (convergent_lines(_27257, _27260) => distinct_lines(_27257, _27260)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.34/1.41
% 0.34/1.41 cnf(1, plain, [-(convergent_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 0.34/1.41 cnf(2, plain, [unorthogonal_lines(1 ^ [], 3 ^ [])], clausify(con)).
% 0.34/1.41 cnf(3, plain, [unorthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 0.34/1.41 cnf(4, plain, [distinct_lines(_16395, _16467), -(apart_point_and_line(_16322, _16395)), -(apart_point_and_line(_16322, _16467)), -(unorthogonal_lines(_16395, _16538)), -(unorthogonal_lines(_16467, _16538))], clausify(ouo1)).
% 0.34/1.41 cnf(5, plain, [distinct_points(_8115, _8115)], clausify(apart1)).
% 0.34/1.41 cnf(6, plain, [distinct_lines(_8307, _8307)], clausify(apart2)).
% 0.34/1.41 cnf(7, plain, [distinct_lines(_9158, _9214), -(distinct_lines(_9158, _9269)), -(distinct_lines(_9214, _9269))], clausify(apart5)).
% 0.34/1.41 cnf(8, plain, [convergent_lines(_10697, _10762), apart_point_and_line(_10826, _10697), -(distinct_points(_10826, intersection_point(_10697, _10762)))], clausify(con2)).
% 0.34/1.41 cnf(9, plain, [convergent_lines(_10697, _10762), apart_point_and_line(_10826, _10762), -(distinct_points(_10826, intersection_point(_10697, _10762)))], clausify(con2)).
% 0.34/1.41 cnf(10, plain, [convergent_lines(_13067, _13112), -(distinct_lines(_13067, _13112))], clausify(ceq3)).
% 0.34/1.41
% 0.34/1.41 cnf('1',plain,[unorthogonal_lines(1 ^ [], 3 ^ [])],start(2)).
% 0.34/1.41 cnf('1.1',plain,[-(unorthogonal_lines(1 ^ [], 3 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ [])), -(apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(4,bind([[_16395, _16322, _16467, _16538], [1 ^ [], intersection_point(1 ^ [], 2 ^ []), 2 ^ [], 3 ^ []]]))).
% 0.34/1.41 cnf('1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), distinct_lines(1 ^ [], 2 ^ []), -(distinct_lines(2 ^ [], 2 ^ []))],extension(7,bind([[_9158, _9214, _9269], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1',plain,[-(distinct_lines(1 ^ [], 2 ^ [])), convergent_lines(1 ^ [], 2 ^ [])],extension(10,bind([[_13067, _13112], [1 ^ [], 2 ^ []]]))).
% 0.34/1.41 cnf('1.1.1.1.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.1.1.2',plain,[distinct_lines(2 ^ [], 2 ^ [])],extension(6,bind([[_8307], [2 ^ []]]))).
% 0.34/1.41 cnf('1.1.2',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 1 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(8,bind([[_10826, _10697, _10762], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.34/1.41 cnf('1.1.2.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.1.2.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_8115], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.34/1.41 cnf('1.1.3',plain,[apart_point_and_line(intersection_point(1 ^ [], 2 ^ []), 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ [])))],extension(9,bind([[_10826, _10697, _10762], [intersection_point(1 ^ [], 2 ^ []), 1 ^ [], 2 ^ []]]))).
% 0.34/1.41 cnf('1.1.3.1',plain,[-(convergent_lines(1 ^ [], 2 ^ []))],extension(1)).
% 0.34/1.41 cnf('1.1.3.2',plain,[distinct_points(intersection_point(1 ^ [], 2 ^ []), intersection_point(1 ^ [], 2 ^ []))],extension(5,bind([[_8115], [intersection_point(1 ^ [], 2 ^ [])]]))).
% 0.34/1.41 cnf('1.1.4',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 0.34/1.41 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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