TSTP Solution File: GEO087+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 05:02:33 EDT 2022
% Result : Theorem 0.21s 1.33s
% Output : Proof 0.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GEO087+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.08 % Command : leancop_casc.sh %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Fri Jun 17 17:10:01 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.21/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.34 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.26/1.34
% 0.26/1.34 %-----------------------------------------------------
% 0.26/1.34 fof(corollary_2_9, conjecture, ! [_43058, _43061] : (part_of(_43058, _43061) => ~ ? [_43081] : meet(_43081, _43058, _43061)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', corollary_2_9)).
% 0.26/1.34 fof(part_of_defn, axiom, ! [_43294, _43297] : (part_of(_43297, _43294) <=> ! [_43315] : (incident_c(_43315, _43297) => incident_c(_43315, _43294))), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', part_of_defn)).
% 0.26/1.34 fof(inner_point_defn, axiom, ! [_43512, _43515] : (inner_point(_43512, _43515) <=> incident_c(_43512, _43515) & ~ end_point(_43512, _43515)), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', inner_point_defn)).
% 0.26/1.34 fof(meet_defn, axiom, ! [_43708, _43711, _43714] : (meet(_43708, _43711, _43714) <=> incident_c(_43708, _43711) & incident_c(_43708, _43714) & ! [_43755] : (incident_c(_43755, _43711) & incident_c(_43755, _43714) => end_point(_43755, _43711) & end_point(_43755, _43714))), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', meet_defn)).
% 0.26/1.34 fof(c3, axiom, ! [_44052] : ? [_44060] : inner_point(_44060, _44052), file('/export/starexec/sandbox/benchmark/Axioms/GEO004+0.ax', c3)).
% 0.26/1.34
% 0.26/1.34 cnf(1, plain, [-(part_of(14 ^ [], 15 ^ []))], clausify(corollary_2_9)).
% 0.26/1.34 cnf(2, plain, [-(meet(16 ^ [], 14 ^ [], 15 ^ []))], clausify(corollary_2_9)).
% 0.26/1.34 cnf(3, plain, [-(_12104 = _12104)], theory(equality)).
% 0.26/1.34 cnf(4, plain, [-(inner_point(_14656, _14787)), inner_point(_14589, _14722), _14589 = _14656, _14722 = _14787], theory(equality)).
% 0.26/1.34 cnf(5, plain, [part_of(_17992, _17936), incident_c(_18106, _17992), -(incident_c(_18106, _17936))], clausify(part_of_defn)).
% 0.26/1.34 cnf(6, plain, [inner_point(_20095, _20148), -(incident_c(_20095, _20148))], clausify(inner_point_defn)).
% 0.26/1.34 cnf(7, plain, [inner_point(_20095, _20148), end_point(_20095, _20148)], clausify(inner_point_defn)).
% 0.26/1.34 cnf(8, plain, [meet(_20511, _20597, _20682), -(end_point(_20983, _20597)), incident_c(_20983, _20597), incident_c(_20983, _20682)], clausify(meet_defn)).
% 0.26/1.34 cnf(9, plain, [-(inner_point(8 ^ [_23971], _23971))], clausify(c3)).
% 0.26/1.34
% 0.26/1.34 cnf('1',plain,[inner_point(8 ^ [14 ^ []], 14 ^ []), end_point(8 ^ [14 ^ []], 14 ^ [])],start(7,bind([[_20095, _20148], [8 ^ [14 ^ []], 14 ^ []]]))).
% 0.26/1.34 cnf('1.1',plain,[-(inner_point(8 ^ [14 ^ []], 14 ^ [])), inner_point(8 ^ [14 ^ []], 14 ^ []), 8 ^ [14 ^ []] = 8 ^ [14 ^ []], 14 ^ [] = 14 ^ []],extension(4,bind([[_14589, _14656, _14722, _14787], [8 ^ [14 ^ []], 8 ^ [14 ^ []], 14 ^ [], 14 ^ []]]))).
% 0.26/1.34 cnf('1.1.1',plain,[-(inner_point(8 ^ [14 ^ []], 14 ^ []))],extension(9,bind([[_23971], [14 ^ []]]))).
% 0.26/1.34 cnf('1.1.2',plain,[-(8 ^ [14 ^ []] = 8 ^ [14 ^ []])],extension(3,bind([[_12104], [8 ^ [14 ^ []]]]))).
% 0.26/1.34 cnf('1.1.3',plain,[-(14 ^ [] = 14 ^ [])],extension(3,bind([[_12104], [14 ^ []]]))).
% 0.26/1.34 cnf('1.2',plain,[-(end_point(8 ^ [14 ^ []], 14 ^ [])), meet(16 ^ [], 14 ^ [], 15 ^ []), incident_c(8 ^ [14 ^ []], 14 ^ []), incident_c(8 ^ [14 ^ []], 15 ^ [])],extension(8,bind([[_20511, _20597, _20983, _20682], [16 ^ [], 14 ^ [], 8 ^ [14 ^ []], 15 ^ []]]))).
% 0.26/1.34 cnf('1.2.1',plain,[-(meet(16 ^ [], 14 ^ [], 15 ^ []))],extension(2)).
% 0.26/1.34 cnf('1.2.2',plain,[-(incident_c(8 ^ [14 ^ []], 14 ^ [])), inner_point(8 ^ [14 ^ []], 14 ^ [])],extension(6,bind([[_20095, _20148], [8 ^ [14 ^ []], 14 ^ []]]))).
% 0.26/1.34 cnf('1.2.2.1',plain,[-(inner_point(8 ^ [14 ^ []], 14 ^ []))],extension(9,bind([[_23971], [14 ^ []]]))).
% 0.26/1.34 cnf('1.2.3',plain,[-(incident_c(8 ^ [14 ^ []], 15 ^ [])), part_of(14 ^ [], 15 ^ []), incident_c(8 ^ [14 ^ []], 14 ^ [])],extension(5,bind([[_17936, _18106, _17992], [15 ^ [], 8 ^ [14 ^ []], 14 ^ []]]))).
% 0.26/1.34 cnf('1.2.3.1',plain,[-(part_of(14 ^ [], 15 ^ []))],extension(1)).
% 0.26/1.34 cnf('1.2.3.2',plain,[-(incident_c(8 ^ [14 ^ []], 14 ^ []))],lemmata('1.2')).
% 0.26/1.34 %-----------------------------------------------------
% 0.26/1.34
% 0.26/1.35 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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