TSTP Solution File: GEO175+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 05:03:14 EDT 2022
% Result : Theorem 0.36s 1.39s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 12:51:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(con, conjecture, ! [_18331, _18334, _18337, _18340] : (distinct_points(_18331, _18334) & convergent_lines(_18337, _18340) & distinct_points(_18331, intersection_point(_18337, _18340)) => apart_point_and_line(_18331, _18337) | apart_point_and_line(_18331, _18340)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.36/1.41 fof(apart1, axiom, ! [_18632] : ~ distinct_points(_18632, _18632), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.36/1.41 fof(con2, axiom, ! [_18753, _18756, _18759] : (convergent_lines(_18753, _18756) => apart_point_and_line(_18759, _18753) | apart_point_and_line(_18759, _18756) => distinct_points(_18759, intersection_point(_18753, _18756))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 0.36/1.41 fof(cu1, axiom, ! [_18994, _18997, _19000, _19003] : (distinct_points(_18994, _18997) & distinct_lines(_19000, _19003) => apart_point_and_line(_18994, _19000) | apart_point_and_line(_18994, _19003) | apart_point_and_line(_18997, _19000) | apart_point_and_line(_18997, _19003)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', cu1)).
% 0.36/1.41 fof(ceq3, axiom, ! [_19275, _19278] : (convergent_lines(_19275, _19278) => distinct_lines(_19275, _19278)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(convergent_lines(3 ^ [], 4 ^ []))], clausify(con)).
% 0.36/1.41 cnf(2, plain, [-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))], clausify(con)).
% 0.36/1.41 cnf(3, plain, [apart_point_and_line(1 ^ [], 3 ^ [])], clausify(con)).
% 0.36/1.41 cnf(4, plain, [apart_point_and_line(1 ^ [], 4 ^ [])], clausify(con)).
% 0.36/1.41 cnf(5, plain, [distinct_points(_5927, _5927)], clausify(apart1)).
% 0.36/1.41 cnf(6, plain, [convergent_lines(_8509, _8574), apart_point_and_line(_8638, _8509), -(distinct_points(_8638, intersection_point(_8509, _8574)))], clausify(con2)).
% 0.36/1.41 cnf(7, plain, [convergent_lines(_8509, _8574), apart_point_and_line(_8638, _8574), -(distinct_points(_8638, intersection_point(_8509, _8574)))], clausify(con2)).
% 0.36/1.41 cnf(8, plain, [distinct_lines(_9271, _9348), distinct_points(_9114, _9193), -(apart_point_and_line(_9114, _9271)), -(apart_point_and_line(_9114, _9348)), -(apart_point_and_line(_9193, _9271)), -(apart_point_and_line(_9193, _9348))], clausify(cu1)).
% 0.36/1.41 cnf(9, plain, [convergent_lines(_10879, _10924), -(distinct_lines(_10879, _10924))], clausify(ceq3)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ []))],start(5,bind([[_5927], [intersection_point(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 cnf('1.1',plain,[-(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ []))), convergent_lines(3 ^ [], 4 ^ []), apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])],extension(6,bind([[_8574, _8638, _8509], [4 ^ [], intersection_point(3 ^ [], 4 ^ []), 3 ^ []]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.2',plain,[-(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 3 ^ [])), distinct_lines(3 ^ [], 4 ^ []), distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])), -(apart_point_and_line(1 ^ [], 3 ^ [])), -(apart_point_and_line(1 ^ [], 4 ^ [])), -(apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []))],extension(8,bind([[_9271, _9114, _9193, _9348], [3 ^ [], 1 ^ [], intersection_point(3 ^ [], 4 ^ []), 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.1',plain,[-(distinct_lines(3 ^ [], 4 ^ [])), convergent_lines(3 ^ [], 4 ^ [])],extension(9,bind([[_10879, _10924], [3 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.1.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.2.2',plain,[-(distinct_points(1 ^ [], intersection_point(3 ^ [], 4 ^ [])))],extension(2)).
% 0.36/1.41 cnf('1.1.2.3',plain,[apart_point_and_line(1 ^ [], 3 ^ [])],extension(3)).
% 0.36/1.41 cnf('1.1.2.4',plain,[apart_point_and_line(1 ^ [], 4 ^ [])],extension(4)).
% 0.36/1.41 cnf('1.1.2.5',plain,[apart_point_and_line(intersection_point(3 ^ [], 4 ^ []), 4 ^ []), convergent_lines(3 ^ [], 4 ^ []), -(distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ [])))],extension(7,bind([[_8638, _8509, _8574], [intersection_point(3 ^ [], 4 ^ []), 3 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.2.5.1',plain,[-(convergent_lines(3 ^ [], 4 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.2.5.2',plain,[distinct_points(intersection_point(3 ^ [], 4 ^ []), intersection_point(3 ^ [], 4 ^ []))],extension(5,bind([[_5927], [intersection_point(3 ^ [], 4 ^ [])]]))).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41
% 0.36/1.41 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------