TSTP Solution File: GEO190+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 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 05:03:26 EDT 2022
% Result : Theorem 0.41s 1.42s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO190+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 20:09:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.41/1.43
% 0.41/1.43 %-----------------------------------------------------
% 0.41/1.43 fof(con, conjecture, ! [_41531, _41534, _41537] : (distinct_points(_41531, _41534) & distinct_points(_41531, _41537) & distinct_points(_41534, _41537) & incident_point_and_line(_41537, line_connecting(_41531, _41534)) => incident_point_and_line(_41537, line_connecting(_41534, _41531))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)).
% 0.41/1.43 fof(apart1, axiom, ! [_41828] : ~ distinct_points(_41828, _41828), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart1)).
% 0.41/1.43 fof(apart4, axiom, ! [_41944, _41947, _41950] : (distinct_points(_41944, _41947) => distinct_points(_41944, _41950) | distinct_points(_41947, _41950)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', apart4)).
% 0.41/1.43 fof(ci1, axiom, ! [_42131, _42134] : (distinct_points(_42131, _42134) => ~ apart_point_and_line(_42131, line_connecting(_42131, _42134))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci1)).
% 0.41/1.43 fof(ci2, axiom, ! [_42300, _42303] : (distinct_points(_42300, _42303) => ~ apart_point_and_line(_42303, line_connecting(_42300, _42303))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ci2)).
% 0.41/1.43 fof(cu1, axiom, ! [_42471, _42474, _42477, _42480] : (distinct_points(_42471, _42474) & distinct_lines(_42477, _42480) => apart_point_and_line(_42471, _42477) | apart_point_and_line(_42471, _42480) | apart_point_and_line(_42474, _42477) | apart_point_and_line(_42474, _42480)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', cu1)).
% 0.41/1.43 fof(ceq2, axiom, ! [_42752, _42755, _42758] : (apart_point_and_line(_42752, _42755) => distinct_lines(_42755, _42758) | apart_point_and_line(_42752, _42758)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax', ceq2)).
% 0.41/1.43 fof(a4, axiom, ! [_42966, _42969] : (incident_point_and_line(_42966, _42969) <=> ~ apart_point_and_line(_42966, _42969)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax', a4)).
% 0.41/1.43
% 0.41/1.43 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.41/1.43 cnf(2, plain, [-(incident_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))], clausify(con)).
% 0.41/1.43 cnf(3, plain, [incident_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))], clausify(con)).
% 0.41/1.43 cnf(4, plain, [distinct_points(_12387, _12387)], clausify(apart1)).
% 0.41/1.43 cnf(5, plain, [distinct_points(_12963, _13019), -(distinct_points(_12963, _13074)), -(distinct_points(_13019, _13074))], clausify(apart4)).
% 0.41/1.43 cnf(6, plain, [distinct_points(_14364, _14414), apart_point_and_line(_14364, line_connecting(_14364, _14414))], clausify(ci1)).
% 0.41/1.43 cnf(7, plain, [distinct_points(_14737, _14787), apart_point_and_line(_14787, line_connecting(_14737, _14787))], clausify(ci2)).
% 0.41/1.43 cnf(8, plain, [distinct_lines(_16013, _16090), distinct_points(_15856, _15935), -(apart_point_and_line(_15856, _16013)), -(apart_point_and_line(_15856, _16090)), -(apart_point_and_line(_15935, _16013)), -(apart_point_and_line(_15935, _16090))], clausify(cu1)).
% 0.41/1.43 cnf(9, plain, [apart_point_and_line(_17164, _17220), -(distinct_lines(_17220, _17275)), -(apart_point_and_line(_17164, _17275))], clausify(ceq2)).
% 0.41/1.43 cnf(10, plain, [incident_point_and_line(_26681, _26728), apart_point_and_line(_26681, _26728)], clausify(a4)).
% 0.41/1.43 cnf(11, plain, [-(incident_point_and_line(_26681, _26728)), -(apart_point_and_line(_26681, _26728))], clausify(a4)).
% 0.41/1.43
% 0.41/1.43 cnf('1',plain,[distinct_points(1 ^ [], 2 ^ []), apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))],start(6,bind([[_14364, _14414], [1 ^ [], 2 ^ []]]))).
% 0.41/1.43 cnf('1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.41/1.43 cnf('1.2',plain,[-(apart_point_and_line(1 ^ [], line_connecting(1 ^ [], 2 ^ []))), distinct_lines(line_connecting(2 ^ [], 1 ^ []), line_connecting(1 ^ [], 2 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(8,bind([[_15856, _16090, _15935, _16013], [2 ^ [], line_connecting(1 ^ [], 2 ^ []), 1 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.41/1.43 cnf('1.2.1',plain,[-(distinct_lines(line_connecting(2 ^ [], 1 ^ []), line_connecting(1 ^ [], 2 ^ []))), apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])), -(apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(9,bind([[_17220, _17164, _17275], [line_connecting(2 ^ [], 1 ^ []), 3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.41/1.43 cnf('1.2.1.1',plain,[-(apart_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(incident_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(11,bind([[_26681, _26728], [3 ^ [], line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.41/1.43 cnf('1.2.1.1.1',plain,[incident_point_and_line(3 ^ [], line_connecting(2 ^ [], 1 ^ []))],extension(3)).
% 0.41/1.43 cnf('1.2.1.2',plain,[apart_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])), incident_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ []))],extension(10,bind([[_26681, _26728], [3 ^ [], line_connecting(1 ^ [], 2 ^ [])]]))).
% 0.41/1.43 cnf('1.2.1.2.1',plain,[-(incident_point_and_line(3 ^ [], line_connecting(1 ^ [], 2 ^ [])))],extension(2)).
% 0.41/1.43 cnf('1.2.2',plain,[-(distinct_points(2 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(5,bind([[_13019, _12963, _13074], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.41/1.43 cnf('1.2.2.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.41/1.43 cnf('1.2.2.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(4,bind([[_12387], [1 ^ []]]))).
% 0.41/1.43 cnf('1.2.3',plain,[apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(6,bind([[_14364, _14414], [2 ^ [], 1 ^ []]]))).
% 0.41/1.43 cnf('1.2.3.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],lemmata('1.2')).
% 0.41/1.43 cnf('1.2.4',plain,[apart_point_and_line(2 ^ [], line_connecting(1 ^ [], 2 ^ [])), distinct_points(1 ^ [], 2 ^ [])],extension(7,bind([[_14737, _14787], [1 ^ [], 2 ^ []]]))).
% 0.41/1.43 cnf('1.2.4.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.41/1.43 cnf('1.2.5',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ [])],extension(7,bind([[_14737, _14787], [2 ^ [], 1 ^ []]]))).
% 0.41/1.43 cnf('1.2.5.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],lemmata('1.2')).
% 0.41/1.43 %-----------------------------------------------------
% 0.41/1.44
% 0.41/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------