TSTP Solution File: GEO124+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 05:02:51 EDT 2022
% Result : Theorem 1.50s 2.42s
% Output : Proof 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO124+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n027.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 12:54:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.50/2.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/2.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/2.43
% 1.50/2.43 %-----------------------------------------------------
% 1.50/2.43 fof(corollary_4_10_1, conjecture, ! [_75738, _75741, _75744] : (start_point(_75741, _75738) & start_point(_75744, _75738) => _75741 = _75744), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', corollary_4_10_1)).
% 1.50/2.43 fof(between_c_defn, axiom, ! [_75981, _75984, _75987, _75990] : (between_c(_75981, _75984, _75987, _75990) <=> (! _75984) = _75990 & ? [_76022] : (part_of(_76022, _75981) & end_point(_75984, _76022) & end_point(_75990, _76022) & inner_point(_75987, _76022))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+1.ax', between_c_defn)).
% 1.50/2.43 fof(between_o_defn, axiom, ! [_76317, _76320, _76323, _76326] : (between_o(_76317, _76320, _76323, _76326) <=> ordered_by(_76317, _76320, _76323) & ordered_by(_76317, _76323, _76326) | ordered_by(_76317, _76326, _76323) & ordered_by(_76317, _76323, _76320)), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax', between_o_defn)).
% 1.50/2.43 fof(start_point_defn, axiom, ! [_76615, _76618] : (start_point(_76615, _76618) <=> incident_o(_76615, _76618) & ! [_76646] : ((! _76615) = _76646 & incident_o(_76646, _76618) => ordered_by(_76618, _76615, _76646))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax', start_point_defn)).
% 1.50/2.43 fof(o3, axiom, ! [_76907, _76910, _76913, _76916] : (between_o(_76916, _76907, _76910, _76913) <=> ? [_76940] : (! [_76907] : (incident_o(_76907, _76916) <=> incident_c(_76907, _76940)) & between_c(_76940, _76907, _76910, _76913))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+2.ax', o3)).
% 1.50/2.43
% 1.50/2.43 cnf(1, plain, [-(start_point(26 ^ [], 25 ^ []))], clausify(corollary_4_10_1)).
% 1.50/2.43 cnf(2, plain, [-(start_point(27 ^ [], 25 ^ []))], clausify(corollary_4_10_1)).
% 1.50/2.43 cnf(3, plain, [26 ^ [] = 27 ^ []], clausify(corollary_4_10_1)).
% 1.50/2.43 cnf(4, plain, [-(_19266 = _19266)], theory(equality)).
% 1.50/2.43 cnf(5, plain, [_19419 = _19464, -(_19464 = _19419)], theory(equality)).
% 1.50/2.43 cnf(6, plain, [between_c(_41776, _41864, _41951, _42037), _41864 = _42037], clausify(between_c_defn)).
% 1.50/2.43 cnf(7, plain, [-(between_o(_42825, _42904, _42982, _43059)), ordered_by(_42825, _42904, _42982), ordered_by(_42825, _42982, _43059)], clausify(between_o_defn)).
% 1.55/2.43 cnf(8, plain, [start_point(_43832, _43903), -(incident_o(_43832, _43903))], clausify(start_point_defn)).
% 1.55/2.43 cnf(9, plain, [start_point(_43832, _43903), -(ordered_by(_43903, _43832, _44091)), -(_43832 = _44091), incident_o(_44091, _43903)], clausify(start_point_defn)).
% 1.55/2.43 cnf(10, plain, [between_o(_46429, _46189, _46270, _46350), -(between_c(18 ^ [_46429, _46350, _46270, _46189], _46189, _46270, _46350))], clausify(o3)).
% 1.55/2.43
% 1.55/2.43 cnf('1',plain,[between_c(18 ^ [25 ^ [], 26 ^ [], 27 ^ [], 26 ^ []], 26 ^ [], 27 ^ [], 26 ^ []), 26 ^ [] = 26 ^ []],start(6,bind([[_41776, _41951, _41864, _42037], [18 ^ [25 ^ [], 26 ^ [], 27 ^ [], 26 ^ []], 27 ^ [], 26 ^ [], 26 ^ []]]))).
% 1.55/2.43 cnf('1.1',plain,[-(between_c(18 ^ [25 ^ [], 26 ^ [], 27 ^ [], 26 ^ []], 26 ^ [], 27 ^ [], 26 ^ [])), between_o(25 ^ [], 26 ^ [], 27 ^ [], 26 ^ [])],extension(10,bind([[_46429, _46189, _46270, _46350], [25 ^ [], 26 ^ [], 27 ^ [], 26 ^ []]]))).
% 1.55/2.43 cnf('1.1.1',plain,[-(between_o(25 ^ [], 26 ^ [], 27 ^ [], 26 ^ [])), ordered_by(25 ^ [], 26 ^ [], 27 ^ []), ordered_by(25 ^ [], 27 ^ [], 26 ^ [])],extension(7,bind([[_42904, _42825, _42982, _43059], [26 ^ [], 25 ^ [], 27 ^ [], 26 ^ []]]))).
% 1.55/2.43 cnf('1.1.1.1',plain,[-(ordered_by(25 ^ [], 26 ^ [], 27 ^ [])), start_point(26 ^ [], 25 ^ []), -(26 ^ [] = 27 ^ []), incident_o(27 ^ [], 25 ^ [])],extension(9,bind([[_43832, _44091, _43903], [26 ^ [], 27 ^ [], 25 ^ []]]))).
% 1.55/2.43 cnf('1.1.1.1.1',plain,[-(start_point(26 ^ [], 25 ^ []))],extension(1)).
% 1.55/2.43 cnf('1.1.1.1.2',plain,[26 ^ [] = 27 ^ []],extension(3)).
% 1.55/2.43 cnf('1.1.1.1.3',plain,[-(incident_o(27 ^ [], 25 ^ [])), start_point(27 ^ [], 25 ^ [])],extension(8,bind([[_43832, _43903], [27 ^ [], 25 ^ []]]))).
% 1.55/2.43 cnf('1.1.1.1.3.1',plain,[-(start_point(27 ^ [], 25 ^ []))],extension(2)).
% 1.55/2.43 cnf('1.1.1.2',plain,[-(ordered_by(25 ^ [], 27 ^ [], 26 ^ [])), start_point(27 ^ [], 25 ^ []), -(27 ^ [] = 26 ^ []), incident_o(26 ^ [], 25 ^ [])],extension(9,bind([[_43832, _44091, _43903], [27 ^ [], 26 ^ [], 25 ^ []]]))).
% 1.55/2.43 cnf('1.1.1.2.1',plain,[-(start_point(27 ^ [], 25 ^ []))],extension(2)).
% 1.55/2.43 cnf('1.1.1.2.2',plain,[27 ^ [] = 26 ^ [], -(26 ^ [] = 27 ^ [])],extension(5,bind([[_19464, _19419], [26 ^ [], 27 ^ []]]))).
% 1.55/2.43 cnf('1.1.1.2.2.1',plain,[26 ^ [] = 27 ^ []],extension(3)).
% 1.55/2.43 cnf('1.1.1.2.3',plain,[-(incident_o(26 ^ [], 25 ^ [])), start_point(26 ^ [], 25 ^ [])],extension(8,bind([[_43832, _43903], [26 ^ [], 25 ^ []]]))).
% 1.55/2.43 cnf('1.1.1.2.3.1',plain,[-(start_point(26 ^ [], 25 ^ []))],extension(1)).
% 1.55/2.43 cnf('1.2',plain,[-(26 ^ [] = 26 ^ [])],extension(4,bind([[_19266], [26 ^ []]]))).
% 1.55/2.43 %-----------------------------------------------------
% 1.55/2.44
% 1.55/2.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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