%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 05:03:15 EDT 2022
% Result : Theorem 0.36s 1.40s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jun 17 23:27:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.36/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.41 % 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, ! [_20527, _20530, _20533, _20536] : (distinct_points(_20527, _20530) & distinct_points(_20533, _20536) => apart_point_and_line(_20527, line_connecting(_20533, _20536)) | apart_point_and_line(_20530, line_connecting(_20533, _20536)) => apart_point_and_line(_20533, line_connecting(_20527, _20530)) | apart_point_and_line(_20536, line_connecting(_20527, _20530))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.36/1.41 fof(ci1, axiom, ! [_20921, _20924] : (distinct_points(_20921, _20924) => ~ apart_point_and_line(_20921, line_connecting(_20921, _20924))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.36/1.41 fof(ci2, axiom, ! [_21090, _21093] : (distinct_points(_21090, _21093) => ~ apart_point_and_line(_21093, line_connecting(_21090, _21093))), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.36/1.41 fof(cu1, axiom, ! [_21261, _21264, _21267, _21270] : (distinct_points(_21261, _21264) & distinct_lines(_21267, _21270) => apart_point_and_line(_21261, _21267) | apart_point_and_line(_21261, _21270) | apart_point_and_line(_21264, _21267) | apart_point_and_line(_21264, _21270)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.36/1.41 fof(ceq2, axiom, ! [_21542, _21545, _21548] : (apart_point_and_line(_21542, _21545) => distinct_lines(_21545, _21548) | apart_point_and_line(_21542, _21548)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.36/1.41 cnf(2, plain, [-(distinct_points(3 ^ [], 4 ^ []))], clausify(con)).
% 0.36/1.41 cnf(3, plain, [apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.36/1.41 cnf(4, plain, [apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))], clausify(con)).
% 0.36/1.41 cnf(5, plain, [-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])))], clausify(con)).
% 0.36/1.41 cnf(6, plain, [distinct_points(_8294, _8344), apart_point_and_line(_8294, line_connecting(_8294, _8344))], clausify(ci1)).
% 0.36/1.41 cnf(7, plain, [distinct_points(_8667, _8717), apart_point_and_line(_8717, line_connecting(_8667, _8717))], clausify(ci2)).
% 0.36/1.41 cnf(8, plain, [distinct_lines(_9943, _10020), distinct_points(_9786, _9865), -(apart_point_and_line(_9786, _9943)), -(apart_point_and_line(_9786, _10020)), -(apart_point_and_line(_9865, _9943)), -(apart_point_and_line(_9865, _10020))], clausify(cu1)).
% 0.36/1.41 cnf(9, plain, [apart_point_and_line(_11094, _11150), -(distinct_lines(_11150, _11205)), -(apart_point_and_line(_11094, _11205))], clausify(ceq2)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(3)).
% 0.36/1.41 cnf('1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(3 ^ [], 4 ^ []), -(apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(8,bind([[_9786, _9943, _9865, _10020], [3 ^ [], line_connecting(3 ^ [], 4 ^ []), 4 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_11150, _11094, _11205], [line_connecting(3 ^ [], 4 ^ []), 1 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1.1',plain,[-(apart_point_and_line(1 ^ [], line_connecting(3 ^ [], 4 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])))],extension(5)).
% 0.36/1.41 cnf('1.1.1.1.1',plain,[apart_point_and_line(2 ^ [], line_connecting(3 ^ [], 4 ^ [])), -(distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_11150, _11094, _11205], [line_connecting(3 ^ [], 4 ^ []), 2 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.36/1.41 cnf('1.1.1.1.1.1',plain,[distinct_lines(line_connecting(3 ^ [], 4 ^ []), line_connecting(1 ^ [], 2 ^ []))],reduction('1.1')).
% 0.36/1.41 cnf('1.1.1.1.1.2',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_8667, _8717], [1 ^ [], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.1.2',plain,[apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(6,bind([[_8294, _8344], [1 ^ [], 2 ^ []]]))).
% 0.36/1.41 cnf('1.1.1.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.36/1.41 cnf('1.1.2',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.3',plain,[apart_point_and_line(3 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ [])],extension(6,bind([[_8294, _8344], [3 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.3.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.4',plain,[apart_point_and_line(4 ^ [], line_connecting(3 ^ [], 4 ^ [])), distinct_points(3 ^ [], 4 ^ [])],extension(7,bind([[_8667, _8717], [3 ^ [], 4 ^ []]]))).
% 0.36/1.41 cnf('1.1.4.1',plain,[-(distinct_points(3 ^ [], 4 ^ []))],extension(2)).
% 0.36/1.41 cnf('1.1.5',plain,[apart_point_and_line(4 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(4)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.42
% 0.36/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------