0.12/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : leancop_casc.sh %s %d 0.13/0.34 % Computer : n026.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % DateTime : Thu Jul 2 06:52:09 EDT 2020 0.13/0.35 % CPUTime : 1.28/2.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 1.28/2.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 1.28/2.47 1.28/2.47 %----------------------------------------------------- 1.28/2.47 fof(con, conjecture, ! [_44227, _44230, _44233, _44236] : (distinct_points(_44230, _44236) & distinct_points(_44233, _44236) & distinct_points(_44230, _44233) & line(_44227) => ~ (between_on_line(_44227, _44230, _44233, _44236) & between_on_line(_44227, _44233, _44230, _44236))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)). 1.28/2.47 fof(oag11, axiom, ! [_44539, _44542] : ~ (left_convergent_lines(_44539, reverse_line(_44542)) | left_convergent_lines(_44539, _44542)), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag11)). 1.28/2.47 fof(oag8, axiom, ! [_44727, _44730] : (unequally_directed_lines(_44727, reverse_line(_44730)) | unequally_directed_lines(_44727, _44730) <= line(_44730) & line(_44727)), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag8)). 1.28/2.47 fof(oag6, axiom, ! [_44924, _44927, _44930] : (unequally_directed_lines(_44924, _44927) => unequally_directed_lines(_44924, _44930) | unequally_directed_lines(_44927, _44930)), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag6)). 1.28/2.47 fof(oag9, axiom, ! [_45109, _45112] : (left_convergent_lines(_45109, reverse_line(_45112)) | left_convergent_lines(_45109, _45112) <= unequally_directed_lines(_45109, _45112) & unequally_directed_lines(_45109, reverse_line(_45112))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oag9)). 1.28/2.47 fof(oagco9, axiom, ! [_45345, _45348] : ~ unequally_directed_lines(line_connecting(_45345, _45348), reverse_line(line_connecting(_45348, _45345))), file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax', oagco9)). 1.28/2.47 1.28/2.47 cnf(1, plain, [-(line(1 ^ []))], clausify(con)). 1.28/2.47 cnf(2, plain, [left_convergent_lines(_12366, reverse_line(_12415))], clausify(oag11)). 1.28/2.47 cnf(3, plain, [left_convergent_lines(_12366, _12415)], clausify(oag11)). 1.28/2.47 cnf(4, plain, [line(_15841), line(_15898), -(unequally_directed_lines(_15841, reverse_line(_15898))), -(unequally_directed_lines(_15841, _15898))], clausify(oag8)). 1.28/2.47 cnf(5, plain, [unequally_directed_lines(_16297, _16353), -(unequally_directed_lines(_16297, _16408)), -(unequally_directed_lines(_16353, _16408))], clausify(oag6)). 1.28/2.47 cnf(6, plain, [unequally_directed_lines(_16764, reverse_line(_16825)), unequally_directed_lines(_16764, _16825), -(left_convergent_lines(_16764, reverse_line(_16825))), -(left_convergent_lines(_16764, _16825))], clausify(oag9)). 1.28/2.47 cnf(7, plain, [unequally_directed_lines(line_connecting(_21126, _21175), reverse_line(line_connecting(_21175, _21126)))], clausify(oagco9)). 1.28/2.47 1.28/2.47 cnf('1',plain,[unequally_directed_lines(line_connecting(_38322, _38322), reverse_line(line_connecting(_38322, _38322)))],start(7,bind([[_21175, _21126], [_38322, _38322]]))). 1.28/2.47 cnf('1.1',plain,[-(unequally_directed_lines(line_connecting(_38322, _38322), reverse_line(line_connecting(_38322, _38322)))), unequally_directed_lines(1 ^ [], line_connecting(_38322, _38322)), -(unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38322, _38322))))],extension(5,bind([[_16353, _16297, _16408], [line_connecting(_38322, _38322), 1 ^ [], reverse_line(line_connecting(_38322, _38322))]]))). 1.28/2.47 cnf('1.1.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38322, _38322))), unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])), -(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38322, _38322)))],extension(5,bind([[_16297, _16353, _16408], [1 ^ [], reverse_line(1 ^ []), line_connecting(_38322, _38322)]]))). 1.28/2.47 cnf('1.1.1.1',plain,[-(unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))), line(1 ^ []), line(1 ^ []), -(unequally_directed_lines(1 ^ [], 1 ^ []))],extension(4,bind([[_15841, _15898], [1 ^ [], 1 ^ []]]))). 1.28/2.47 cnf('1.1.1.1.1',plain,[-(line(1 ^ []))],extension(1)). 1.28/2.47 cnf('1.1.1.1.2',plain,[-(line(1 ^ []))],extension(1)). 1.28/2.47 cnf('1.1.1.1.3',plain,[unequally_directed_lines(1 ^ [], 1 ^ []), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))), -(unequally_directed_lines(1 ^ [], reverse_line(1 ^ [])))],extension(5,bind([[_16297, _16353, _16408], [1 ^ [], 1 ^ [], reverse_line(1 ^ [])]]))). 1.28/2.47 cnf('1.1.1.1.3.1',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],reduction('1.1.1')). 1.28/2.47 cnf('1.1.1.1.3.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(1 ^ []))],lemmata('1.1.1.1.3')). 1.28/2.47 cnf('1.1.1.2',plain,[unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38322, _38322)), unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38322, _38322))), -(left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38322, _38322)))), -(left_convergent_lines(reverse_line(1 ^ []), line_connecting(_38322, _38322)))],extension(6,bind([[_16764, _16825], [reverse_line(1 ^ []), line_connecting(_38322, _38322)]]))). 1.28/2.47 cnf('1.1.1.2.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38322, _38322)))), unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38322, _38322)), -(unequally_directed_lines(line_connecting(_38322, _38322), reverse_line(line_connecting(_38322, _38322))))],extension(5,bind([[_16297, _16353, _16408], [reverse_line(1 ^ []), line_connecting(_38322, _38322), reverse_line(line_connecting(_38322, _38322))]]))). 1.28/2.47 cnf('1.1.1.2.1.1',plain,[-(unequally_directed_lines(reverse_line(1 ^ []), line_connecting(_38322, _38322)))],reduction('1.1.1')). 1.28/2.47 cnf('1.1.1.2.1.2',plain,[unequally_directed_lines(line_connecting(_38322, _38322), reverse_line(line_connecting(_38322, _38322)))],extension(7,bind([[_21175, _21126], [_38322, _38322]]))). 1.28/2.47 cnf('1.1.1.2.2',plain,[left_convergent_lines(reverse_line(1 ^ []), reverse_line(line_connecting(_38322, _38322)))],extension(2,bind([[_12366, _12415], [reverse_line(1 ^ []), line_connecting(_38322, _38322)]]))). 1.28/2.47 cnf('1.1.1.2.3',plain,[left_convergent_lines(reverse_line(1 ^ []), line_connecting(_38322, _38322))],extension(3,bind([[_12366, _12415], [reverse_line(1 ^ []), line_connecting(_38322, _38322)]]))). 1.28/2.47 cnf('1.1.2',plain,[unequally_directed_lines(1 ^ [], reverse_line(line_connecting(_38322, _38322))), unequally_directed_lines(1 ^ [], line_connecting(_38322, _38322)), -(left_convergent_lines(1 ^ [], reverse_line(line_connecting(_38322, _38322)))), -(left_convergent_lines(1 ^ [], line_connecting(_38322, _38322)))],extension(6,bind([[_16764, _16825], [1 ^ [], line_connecting(_38322, _38322)]]))). 1.28/2.47 cnf('1.1.2.1',plain,[-(unequally_directed_lines(1 ^ [], line_connecting(_38322, _38322)))],lemmata('1.1')). 1.28/2.47 cnf('1.1.2.2',plain,[left_convergent_lines(1 ^ [], reverse_line(line_connecting(_38322, _38322)))],extension(2,bind([[_12366, _12415], [1 ^ [], line_connecting(_38322, _38322)]]))). 1.28/2.47 cnf('1.1.2.3',plain,[left_convergent_lines(1 ^ [], line_connecting(_38322, _38322))],extension(3,bind([[_12366, _12415], [1 ^ [], line_connecting(_38322, _38322)]]))). 1.28/2.47 %----------------------------------------------------- 1.28/2.47 1.28/2.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 1.28/2.48 EOF