TSTP Solution File: GEO225+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 05:03:56 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.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 : Fri Jun 17 21:16:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(con, conjecture, ! [_21142, _21145] : (point(_21142) & point(_21145) & distinct_points(_21142, _21145) => ? [_21177] : (line(_21177) => ~ apart_point_and_line(_21142, _21177) & ~ apart_point_and_line(_21145, _21177))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)).
% 0.38/1.42 fof(apart1, axiom, ! [_21439] : ~ distinct_points(_21439, _21439), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart1)).
% 0.38/1.42 fof(apart4, axiom, ! [_21555, _21558, _21561] : (distinct_points(_21555, _21558) => distinct_points(_21555, _21561) | distinct_points(_21558, _21561)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', apart4)).
% 0.38/1.42 fof(con1, axiom, ! [_21742, _21745, _21748] : (distinct_points(_21742, _21745) => apart_point_and_line(_21748, line_connecting(_21742, _21745)) => distinct_points(_21748, _21742) & distinct_points(_21748, _21745)), file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax', con1)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [-(distinct_points(1 ^ [], 2 ^ []))], clausify(con)).
% 0.38/1.42 cnf(2, plain, [-(apart_point_and_line(1 ^ [], _16772)), -(apart_point_and_line(2 ^ [], _16772))], clausify(con)).
% 0.38/1.42 cnf(3, plain, [distinct_points(_7094, _7094)], clausify(apart1)).
% 0.38/1.42 cnf(4, plain, [distinct_points(_7670, _7726), -(distinct_points(_7670, _7781)), -(distinct_points(_7726, _7781))], clausify(apart4)).
% 0.38/1.42 cnf(5, plain, [distinct_points(_9071, _9136), apart_point_and_line(_9200, line_connecting(_9071, _9136)), -(distinct_points(_9200, _9071))], clausify(con1)).
% 0.38/1.42 cnf(6, plain, [distinct_points(_9071, _9136), apart_point_and_line(_9200, line_connecting(_9071, _9136)), -(distinct_points(_9200, _9136))], clausify(con1)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[distinct_points(1 ^ [], 1 ^ [])],start(3,bind([[_7094], [1 ^ []]]))).
% 0.38/1.42 cnf('1.1',plain,[-(distinct_points(1 ^ [], 1 ^ [])), distinct_points(1 ^ [], 2 ^ []), -(distinct_points(2 ^ [], 1 ^ []))],extension(4,bind([[_7670, _7726, _7781], [1 ^ [], 2 ^ [], 1 ^ []]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(distinct_points(1 ^ [], 2 ^ []))],extension(1)).
% 0.38/1.42 cnf('1.1.2',plain,[distinct_points(2 ^ [], 1 ^ []), apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ [])), -(distinct_points(2 ^ [], 2 ^ []))],extension(5,bind([[_9136, _9200, _9071], [1 ^ [], 2 ^ [], 2 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1',plain,[-(apart_point_and_line(2 ^ [], line_connecting(2 ^ [], 1 ^ []))), -(apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])))],extension(2,bind([[_16772], [line_connecting(2 ^ [], 1 ^ [])]]))).
% 0.38/1.42 cnf('1.1.2.1.1',plain,[apart_point_and_line(1 ^ [], line_connecting(2 ^ [], 1 ^ [])), distinct_points(2 ^ [], 1 ^ []), -(distinct_points(1 ^ [], 1 ^ []))],extension(6,bind([[_9071, _9200, _9136], [2 ^ [], 1 ^ [], 1 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.1.1.1',plain,[-(distinct_points(2 ^ [], 1 ^ []))],reduction('1.1')).
% 0.38/1.42 cnf('1.1.2.1.1.2',plain,[distinct_points(1 ^ [], 1 ^ [])],extension(3,bind([[_7094], [1 ^ []]]))).
% 0.38/1.42 cnf('1.1.2.2',plain,[distinct_points(2 ^ [], 2 ^ [])],extension(3,bind([[_7094], [2 ^ []]]))).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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