TSTP Solution File: GEO213+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n018.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 05:03:46 EDT 2022

% Result   : Theorem 1.73s 2.45s
% Output   : Proof 1.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO213+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 18 13:55:03 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 1.73/2.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.73/2.46  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.73/2.46  
% 1.73/2.46  %-----------------------------------------------------
% 1.73/2.46  fof(con, conjecture, ! [_39428, _39431, _39434] : (unorthogonal_lines(_39428, _39431) => distinct_lines(_39428, _39434) | unorthogonal_lines(_39431, _39434)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 1.73/2.46  fof(cup1, axiom, ! [_39637, _39640, _39643] : (distinct_lines(_39640, _39643) => apart_point_and_line(_39637, _39640) | apart_point_and_line(_39637, _39643) | convergent_lines(_39640, _39643)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax', cup1)).
% 1.73/2.46  fof(occu1, axiom, ! [_39850, _39853] : (convergent_lines(_39850, _39853) | unorthogonal_lines(_39850, _39853)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', occu1)).
% 1.73/2.46  fof(oac1, axiom, ! [_39996, _39999, _40002] : (convergent_lines(_39996, _39999) & unorthogonal_lines(_39996, _39999) => convergent_lines(_39996, _40002) & unorthogonal_lines(_39996, _40002) | convergent_lines(_39999, _40002) & unorthogonal_lines(_39999, _40002)), file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax', oac1)).
% 1.73/2.46  fof(apart1, axiom, ! [_40293] : ~ distinct_points(_40293, _40293), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 1.73/2.46  fof(apart2, axiom, ! [_40407] : ~ distinct_lines(_40407, _40407), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart2)).
% 1.73/2.46  fof(apart3, axiom, ! [_40521] : ~ convergent_lines(_40521, _40521), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart3)).
% 1.73/2.46  fof(apart5, axiom, ! [_40636, _40639, _40642] : (distinct_lines(_40636, _40639) => distinct_lines(_40636, _40642) | distinct_lines(_40639, _40642)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart5)).
% 1.73/2.46  fof(apart6, axiom, ! [_40821, _40824, _40827] : (convergent_lines(_40821, _40824) => convergent_lines(_40821, _40827) | convergent_lines(_40824, _40827)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart6)).
% 1.73/2.46  fof(con2, axiom, ! [_41008, _41011, _41014] : (convergent_lines(_41008, _41011) => apart_point_and_line(_41014, _41008) | apart_point_and_line(_41014, _41011) => distinct_points(_41014, intersection_point(_41008, _41011))), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con2)).
% 1.73/2.46  fof(ceq3, axiom, ! [_41251, _41254] : (convergent_lines(_41251, _41254) => distinct_lines(_41251, _41254)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq3)).
% 1.73/2.46  fof(ceq2, axiom, ! [_41397, _41400, _41403] : (apart_point_and_line(_41397, _41400) => distinct_lines(_41400, _41403) | apart_point_and_line(_41397, _41403)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', ceq2)).
% 1.73/2.46  
% 1.73/2.46  cnf(1, plain, [-(unorthogonal_lines(1 ^ [], 2 ^ []))], clausify(con)).
% 1.73/2.46  cnf(2, plain, [distinct_lines(1 ^ [], 3 ^ [])], clausify(con)).
% 1.73/2.46  cnf(3, plain, [unorthogonal_lines(2 ^ [], 3 ^ [])], clausify(con)).
% 1.73/2.46  cnf(4, plain, [distinct_lines(_14138, _14199), -(apart_point_and_line(_14076, _14138)), -(apart_point_and_line(_14076, _14199)), -(convergent_lines(_14138, _14199))], clausify(cup1)).
% 1.73/2.46  cnf(5, plain, [-(convergent_lines(_14665, _14710)), -(unorthogonal_lines(_14665, _14710))], clausify(occu1)).
% 1.73/2.46  cnf(6, plain, [unorthogonal_lines(_14975, _15049), convergent_lines(_14975, _15049), -(convergent_lines(_14975, _15122)), -(convergent_lines(_15049, _15122))], clausify(oac1)).
% 1.73/2.46  cnf(7, plain, [unorthogonal_lines(_14975, _15049), convergent_lines(_14975, _15049), -(convergent_lines(_14975, _15122)), -(unorthogonal_lines(_15049, _15122))], clausify(oac1)).
% 1.73/2.46  cnf(8, plain, [unorthogonal_lines(_14975, _15049), convergent_lines(_14975, _15049), -(unorthogonal_lines(_14975, _15122)), -(convergent_lines(_15049, _15122))], clausify(oac1)).
% 1.73/2.46  cnf(9, plain, [distinct_points(_8075, _8075)], clausify(apart1)).
% 1.73/2.46  cnf(10, plain, [distinct_lines(_8267, _8267)], clausify(apart2)).
% 1.73/2.46  cnf(11, plain, [convergent_lines(_8459, _8459)], clausify(apart3)).
% 1.73/2.46  cnf(12, plain, [distinct_lines(_9118, _9174), -(distinct_lines(_9118, _9229)), -(distinct_lines(_9174, _9229))], clausify(apart5)).
% 1.73/2.46  cnf(13, plain, [convergent_lines(_9585, _9641), -(convergent_lines(_9585, _9696)), -(convergent_lines(_9641, _9696))], clausify(apart6)).
% 1.73/2.46  cnf(14, plain, [convergent_lines(_10657, _10722), apart_point_and_line(_10786, _10657), -(distinct_points(_10786, intersection_point(_10657, _10722)))], clausify(con2)).
% 1.73/2.46  cnf(15, plain, [convergent_lines(_10657, _10722), apart_point_and_line(_10786, _10722), -(distinct_points(_10786, intersection_point(_10657, _10722)))], clausify(con2)).
% 1.73/2.46  cnf(16, plain, [convergent_lines(_13027, _13072), -(distinct_lines(_13027, _13072))], clausify(ceq3)).
% 1.73/2.46  cnf(17, plain, [apart_point_and_line(_12570, _12626), -(distinct_lines(_12626, _12681)), -(apart_point_and_line(_12570, _12681))], clausify(ceq2)).
% 1.73/2.46  
% 1.73/2.46  cnf('1',plain,[distinct_lines(1 ^ [], 3 ^ [])],start(2)).
% 1.73/2.46  cnf('1.1',plain,[-(distinct_lines(1 ^ [], 3 ^ [])), apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []))],extension(17,bind([[_12626, _12570, _12681], [1 ^ [], intersection_point(2 ^ [], 3 ^ []), 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])), -(convergent_lines(2 ^ [], 1 ^ []))],extension(4,bind([[_14076, _14138, _14199], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), distinct_lines(2 ^ [], 3 ^ []), -(distinct_lines(3 ^ [], 1 ^ []))],extension(12,bind([[_9118, _9174, _9229], [2 ^ [], 3 ^ [], 1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), distinct_lines(2 ^ [], 3 ^ []), -(distinct_lines(3 ^ [], 3 ^ []))],extension(12,bind([[_9118, _9174, _9229], [2 ^ [], 3 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.1.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), convergent_lines(2 ^ [], 3 ^ [])],extension(16,bind([[_13027, _13072], [2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.1.1.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_14665, _14710], [2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.1.1.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.73/2.46  cnf('1.1.1.1.1.2',plain,[distinct_lines(3 ^ [], 3 ^ [])],extension(10,bind([[_8267], [3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2',plain,[distinct_lines(3 ^ [], 1 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])), -(convergent_lines(3 ^ [], 1 ^ []))],extension(4,bind([[_14076, _14138, _14199], [intersection_point(2 ^ [], 3 ^ []), 3 ^ [], 1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2.1',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []), convergent_lines(2 ^ [], 3 ^ []), -(distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ [])))],extension(15,bind([[_10786, _10657, _10722], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2.1.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_14665, _14710], [2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2.1.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.73/2.46  cnf('1.1.1.1.2.1.2',plain,[distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ []))],extension(9,bind([[_8075], [intersection_point(2 ^ [], 3 ^ [])]]))).
% 1.73/2.46  cnf('1.1.1.1.2.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])],reduction('1.1')).
% 1.73/2.46  cnf('1.1.1.1.2.3',plain,[convergent_lines(3 ^ [], 1 ^ []), -(convergent_lines(3 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(13,bind([[_9585, _9641, _9696], [3 ^ [], 1 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2.3.1',plain,[convergent_lines(3 ^ [], 3 ^ [])],extension(11,bind([[_8459], [3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2.3.2',plain,[convergent_lines(1 ^ [], 3 ^ []), -(distinct_lines(1 ^ [], 3 ^ []))],extension(16,bind([[_13027, _13072], [1 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.1.2.3.2.1',plain,[distinct_lines(1 ^ [], 3 ^ [])],extension(2)).
% 1.73/2.46  cnf('1.1.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ []), convergent_lines(2 ^ [], 3 ^ []), -(distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ [])))],extension(14,bind([[_10786, _10657, _10722], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), distinct_lines(2 ^ [], 3 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ [])), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []))],extension(4,bind([[_14138, _14076, _14199], [2 ^ [], intersection_point(2 ^ [], 3 ^ []), 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.1',plain,[-(distinct_lines(2 ^ [], 3 ^ [])), distinct_lines(2 ^ [], 1 ^ []), -(distinct_lines(1 ^ [], 3 ^ []))],extension(12,bind([[_9118, _9174, _9229], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.1.1',plain,[-(distinct_lines(2 ^ [], 1 ^ [])), apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ []), -(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ []))],extension(17,bind([[_12626, _12570, _12681], [2 ^ [], intersection_point(2 ^ [], 3 ^ []), 1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.1.1.1',plain,[-(apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ []))],reduction('1.1.1')).
% 1.73/2.46  cnf('1.1.1.2.1.1.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 1 ^ [])],reduction('1.1')).
% 1.73/2.46  cnf('1.1.1.2.1.1.2',plain,[distinct_lines(1 ^ [], 3 ^ [])],extension(2)).
% 1.73/2.46  cnf('1.1.1.2.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 2 ^ []), convergent_lines(2 ^ [], 3 ^ []), -(distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ [])))],extension(14,bind([[_10786, _10657, _10722], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.2.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_14665, _14710], [2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.2.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.73/2.46  cnf('1.1.1.2.1.2.2',plain,[distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ []))],extension(9,bind([[_8075], [intersection_point(2 ^ [], 3 ^ [])]]))).
% 1.73/2.46  cnf('1.1.1.2.1.3',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []), convergent_lines(2 ^ [], 3 ^ []), -(distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ [])))],extension(15,bind([[_10786, _10657, _10722], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.3.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_14665, _14710], [2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.2.1.3.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.73/2.46  cnf('1.1.1.2.1.3.2',plain,[distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ []))],extension(9,bind([[_8075], [intersection_point(2 ^ [], 3 ^ [])]]))).
% 1.73/2.46  cnf('1.1.1.2.2',plain,[distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ []))],extension(9,bind([[_8075], [intersection_point(2 ^ [], 3 ^ [])]]))).
% 1.73/2.46  cnf('1.1.1.3',plain,[convergent_lines(2 ^ [], 1 ^ []), unorthogonal_lines(2 ^ [], 1 ^ []), -(convergent_lines(2 ^ [], 2 ^ [])), -(convergent_lines(1 ^ [], 2 ^ []))],extension(6,bind([[_14975, _15049, _15122], [2 ^ [], 1 ^ [], 2 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.1',plain,[-(unorthogonal_lines(2 ^ [], 1 ^ [])), unorthogonal_lines(1 ^ [], 2 ^ []), convergent_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ []))],extension(7,bind([[_15049, _14975, _15122], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.1.1',plain,[-(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 1.73/2.46  cnf('1.1.1.3.1.2',plain,[-(convergent_lines(1 ^ [], 2 ^ [])), convergent_lines(2 ^ [], 1 ^ []), -(convergent_lines(2 ^ [], 2 ^ []))],extension(13,bind([[_9641, _9585, _9696], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.1.2.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1.1')).
% 1.73/2.46  cnf('1.1.1.3.1.2.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(11,bind([[_8459], [2 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.1.3',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(11,bind([[_8459], [1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.2',plain,[convergent_lines(2 ^ [], 2 ^ [])],extension(11,bind([[_8459], [2 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.3',plain,[convergent_lines(1 ^ [], 2 ^ []), unorthogonal_lines(1 ^ [], 2 ^ []), -(convergent_lines(1 ^ [], 1 ^ [])), -(unorthogonal_lines(2 ^ [], 1 ^ []))],extension(7,bind([[_14975, _15049, _15122], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.3.1',plain,[-(unorthogonal_lines(1 ^ [], 2 ^ []))],extension(1)).
% 1.73/2.46  cnf('1.1.1.3.3.2',plain,[convergent_lines(1 ^ [], 1 ^ [])],extension(11,bind([[_8459], [1 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.3.3',plain,[unorthogonal_lines(2 ^ [], 1 ^ []), convergent_lines(2 ^ [], 1 ^ []), -(unorthogonal_lines(2 ^ [], 3 ^ [])), -(convergent_lines(1 ^ [], 3 ^ []))],extension(8,bind([[_14975, _15049, _15122], [2 ^ [], 1 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.3.3.1',plain,[-(convergent_lines(2 ^ [], 1 ^ []))],reduction('1.1.1')).
% 1.73/2.46  cnf('1.1.1.3.3.3.2',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.73/2.46  cnf('1.1.1.3.3.3.3',plain,[convergent_lines(1 ^ [], 3 ^ []), -(distinct_lines(1 ^ [], 3 ^ []))],extension(16,bind([[_13027, _13072], [1 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.1.3.3.3.3.1',plain,[distinct_lines(1 ^ [], 3 ^ [])],extension(2)).
% 1.73/2.46  cnf('1.1.2',plain,[apart_point_and_line(intersection_point(2 ^ [], 3 ^ []), 3 ^ []), convergent_lines(2 ^ [], 3 ^ []), -(distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ [])))],extension(15,bind([[_10786, _10657, _10722], [intersection_point(2 ^ [], 3 ^ []), 2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.2.1',plain,[-(convergent_lines(2 ^ [], 3 ^ [])), -(unorthogonal_lines(2 ^ [], 3 ^ []))],extension(5,bind([[_14665, _14710], [2 ^ [], 3 ^ []]]))).
% 1.73/2.46  cnf('1.1.2.1.1',plain,[unorthogonal_lines(2 ^ [], 3 ^ [])],extension(3)).
% 1.73/2.46  cnf('1.1.2.2',plain,[distinct_points(intersection_point(2 ^ [], 3 ^ []), intersection_point(2 ^ [], 3 ^ []))],extension(9,bind([[_8075], [intersection_point(2 ^ [], 3 ^ [])]]))).
% 1.73/2.46  %-----------------------------------------------------
% 1.73/2.47  
% 1.73/2.47  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------