TSTP Solution File: GEO255+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 05:04:13 EDT 2022
% Result : Theorem 1.33s 2.43s
% Output : Proof 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEO255+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.02/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 15:29:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.33/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/2.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/2.45
% 1.33/2.45 %-----------------------------------------------------
% 1.33/2.45 fof(con, conjecture, ! [_45519, _45522, _45525] : (line(_45519) & distinct_points(_45522, _45525) => ~ (before_on_line(_45519, _45522, _45525) & before_on_line(_45519, _45525, _45522))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.33/2.45 fof(bf_def, axiom, ! [_45776, _45779, _45782] : (before_on_line(_45776, _45779, _45782) <=> distinct_points(_45779, _45782) & ~ (left_apart_point(_45779, _45776) | left_apart_point(_45779, reverse_line(_45776))) & ~ (left_apart_point(_45782, _45776) | left_apart_point(_45782, reverse_line(_45776))) & ~ unequally_directed_lines(_45776, line_connecting(_45779, _45782))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', bf_def)).
% 1.33/2.45 fof(oag6, axiom, ! [_46147, _46150, _46153] : (unequally_directed_lines(_46147, _46150) => unequally_directed_lines(_46147, _46153) | unequally_directed_lines(_46150, _46153)), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag6)).
% 1.33/2.45 fof(oag7, axiom, ! [_46332, _46335, _46338] : (unequally_directed_lines(_46332, _46335) & unequally_directed_lines(_46332, reverse_line(_46335)) => unequally_directed_lines(_46332, _46338) & unequally_directed_lines(_46332, reverse_line(_46338)) | unequally_directed_lines(_46335, _46338) & unequally_directed_lines(_46335, reverse_line(_46338))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag7)).
% 1.33/2.45 fof(oag8, axiom, ! [_46642, _46645] : (line(_46642) & line(_46645) => unequally_directed_lines(_46642, _46645) | unequally_directed_lines(_46642, reverse_line(_46645))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag8)).
% 1.33/2.45 fof(oag9, axiom, ! [_46839, _46842] : (unequally_directed_lines(_46839, _46842) & unequally_directed_lines(_46839, reverse_line(_46842)) => left_convergent_lines(_46839, _46842) | left_convergent_lines(_46839, reverse_line(_46842))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag9)).
% 1.33/2.45 fof(oag11, axiom, ! [_47061, _47064] : ~ (left_convergent_lines(_47061, _47064) | left_convergent_lines(_47061, reverse_line(_47064))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag11)).
% 1.33/2.45 fof(oagco9, axiom, ! [_47234, _47237] : ~ unequally_directed_lines(line_connecting(_47234, _47237), reverse_line(line_connecting(_47237, _47234))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oagco9)).
% 1.33/2.45
% 1.33/2.45 cnf(1, plain, [-(line(1 ^ []))], clausify(con)).
% 1.33/2.45 cnf(2, plain, [-(before_on_line(1 ^ [], 2 ^ [], 3 ^ []))], clausify(con)).
% 1.33/2.45 cnf(3, plain, [before_on_line(_12673, _12767, _12860), unequally_directed_lines(_12673, line_connecting(_12767, _12860))], clausify(bf_def)).
% 1.33/2.45 cnf(4, plain, [unequally_directed_lines(_16224, _16280), -(unequally_directed_lines(_16224, _16335)), -(unequally_directed_lines(_16280, _16335))], clausify(oag6)).
% 1.33/2.45 cnf(5, plain, [unequally_directed_lines(_16691, reverse_line(_16771)), unequally_directed_lines(_16691, _16771), -(unequally_directed_lines(_16691, _16850)), -(unequally_directed_lines(_16771, _16850))], clausify(oag7)).
% 1.33/2.45 cnf(6, plain, [unequally_directed_lines(_16691, reverse_line(_16771)), unequally_directed_lines(_16691, _16771), -(unequally_directed_lines(_16691, _16850)), -(unequally_directed_lines(_16771, reverse_line(_16850)))], clausify(oag7)).
% 1.33/2.45 cnf(7, plain, [line(_17557), line(_17500), -(unequally_directed_lines(_17500, _17557)), -(unequally_directed_lines(_17500, reverse_line(_17557)))], clausify(oag8)).
% 1.33/2.45 cnf(8, plain, [unequally_directed_lines(_17956, reverse_line(_18017)), unequally_directed_lines(_17956, _18017), -(left_convergent_lines(_17956, _18017)), -(left_convergent_lines(_17956, reverse_line(_18017)))], clausify(oag9)).
% 1.33/2.45 cnf(9, plain, [left_convergent_lines(_18828, _18877)], clausify(oag11)).
% 1.33/2.45 cnf(10, plain, [unequally_directed_lines(line_connecting(_22441, _22490), reverse_line(line_connecting(_22490, _22441)))], clausify(oagco9)).
% 1.33/2.45
% 1.33/2.45 cnf('1',plain,[unequally_directed_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(_37564, _37564)))],start(10,bind([[_22490, _22441], [_37564, _37564]]))).
% 1.33/2.45 cnf('1.1',plain,[-(unequally_directed_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(_37564, _37564)))), unequally_directed_lines(1 ^ [], line_connecting(_37564, _37564)), -(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_37564, _37564))))],extension(4,bind([[_16280, _16224, _16335], [line_connecting(_37564, _37564), 1 ^ [], reverse_line(line_connecting(_37564, _37564))]]))).
% 1.33/2.45 cnf('1.1.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_37564, _37564))), unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])), -(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_37564, _37564)))],extension(4,bind([[_16224, _16280, _16335], [1 ^ [], reverse_line(1 ^ []), line_connecting(_37564, _37564)]]))).
% 1.33/2.45 cnf('1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))), unequally_directed_lines(1 ^ [], 1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(4,bind([[_16224, _16280, _16335], [1 ^ [], 1 ^ [], reverse_line(1 ^ [])]]))).
% 1.33/2.45 cnf('1.1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], 1 ^ [])), line(1 ^ []), line(1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(7,bind([[_17500, _17557], [1 ^ [], 1 ^ []]]))).
% 1.33/2.45 cnf('1.1.1.1.1.1',plain,[-(line(1 ^ []))],extension(1)).
% 1.33/2.45 cnf('1.1.1.1.1.2',plain,[-(line(1 ^ []))],extension(1)).
% 1.33/2.45 cnf('1.1.1.1.1.3',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')).
% 1.33/2.45 cnf('1.1.1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')).
% 1.33/2.45 cnf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_37564, _37564)), unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_37564, _37564))), -(left_convergent_lines(reverse_line(1 ^ []), line_connecting(_37564, _37564))), -(left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_37564, _37564))))],extension(8,bind([[_17956, _18017], [reverse_line(1 ^ []), line_connecting(_37564, _37564)]]))).
% 1.33/2.45 cnf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_37564, _37564)))), unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_37564, _37564)), -(unequally_directed_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(_37564, _37564))))],extension(4,bind([[_16224, _16280, _16335], [reverse_line(1 ^ []), line_connecting(_37564, _37564), reverse_line(line_connecting(_37564, _37564))]]))).
% 1.33/2.45 cnf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_37564, _37564)))],reduction('1.1.1')).
% 1.33/2.45 cnf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(_37564, _37564)))],extension(10,bind([[_22490, _22441], [_37564, _37564]]))).
% 1.33/2.45 cnf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(1 ^ []), line_connecting(_37564, _37564))],extension(9,bind([[_18828, _18877], [reverse_line(1 ^ []), line_connecting(_37564, _37564)]]))).
% 1.33/2.45 cnf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_37564, _37564)))],extension(9,bind([[_18828, _18877], [reverse_line(1 ^ []), reverse_line(line_connecting(_37564, _37564))]]))).
% 1.33/2.45 cnf('1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_37564, _37564))), unequally_directed_lines(1 ^ [], line_connecting(_37564, _37564)), -(unequally_directed_lines(1 ^ [], line_connecting(2 ^ [], 3 ^ []))), -(unequally_directed_lines(line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ [])))],extension(5,bind([[_16691, _16771, _16850], [1 ^ [], line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ [])]]))).
% 1.33/2.45 cnf('1.1.2.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_37564, _37564)))],lemmata('1.1')).
% 1.33/2.45 cnf('1.1.2.2',plain,[unequally_directed_lines(1 ^ [], line_connecting(2 ^ [], 3 ^ [])), before_on_line(1 ^ [], 2 ^ [], 3 ^ [])],extension(3,bind([[_12673, _12767, _12860], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 1.33/2.45 cnf('1.1.2.2.1',plain,[-(before_on_line(1 ^ [], 2 ^ [], 3 ^ []))],extension(2)).
% 1.33/2.45 cnf('1.1.2.3',plain,[unequally_directed_lines(line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ [])), unequally_directed_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(2 ^ [], 3 ^ []))), -(left_convergent_lines(line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ []))), -(left_convergent_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(2 ^ [], 3 ^ []))))],extension(8,bind([[_17956, _18017], [line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ [])]]))).
% 1.33/2.45 cnf('1.1.2.3.1',plain,[-(unequally_directed_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(2 ^ [], 3 ^ [])))), unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_37564, _37564))), unequally_directed_lines(1 ^ [], line_connecting(_37564, _37564)), -(unequally_directed_lines(1 ^ [], line_connecting(2 ^ [], 3 ^ [])))],extension(6,bind([[_16771, _16691, _16850], [line_connecting(_37564, _37564), 1 ^ [], line_connecting(2 ^ [], 3 ^ [])]]))).
% 1.33/2.45 cnf('1.1.2.3.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_37564, _37564))))],reduction('1.1')).
% 1.33/2.45 cnf('1.1.2.3.1.2',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_37564, _37564)))],lemmata('1.1.2')).
% 1.33/2.45 cnf('1.1.2.3.1.3',plain,[unequally_directed_lines(1 ^ [], line_connecting(2 ^ [], 3 ^ []))],lemmata('1.1.2')).
% 1.33/2.45 cnf('1.1.2.3.2',plain,[left_convergent_lines(line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ []))],extension(9,bind([[_18828, _18877], [line_connecting(_37564, _37564), line_connecting(2 ^ [], 3 ^ [])]]))).
% 1.33/2.45 cnf('1.1.2.3.3',plain,[left_convergent_lines(line_connecting(_37564, _37564), reverse_line(line_connecting(2 ^ [], 3 ^ [])))],extension(9,bind([[_18828, _18877], [line_connecting(_37564, _37564), reverse_line(line_connecting(2 ^ [], 3 ^ []))]]))).
% 1.33/2.45 %-----------------------------------------------------
% 1.33/2.45
% 1.33/2.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------