TSTP Solution File: GEO112+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 05:02:45 EDT 2022
% Result : Theorem 0.40s 1.40s
% Output : Proof 0.40s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO112+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 23:28:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.40/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/1.41
% 0.40/1.41 %-----------------------------------------------------
% 0.40/1.41 fof(theorem_3_8_2, conjecture, ! [_53254, _53257, _53260, _53263] : (between_c(_53254, _53257, _53260, _53263) => between_c(_53254, _53263, _53260, _53257)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', theorem_3_8_2)).
% 0.40/1.41 fof(between_c_defn, axiom, ! [_53528, _53531, _53534, _53537] : (between_c(_53528, _53531, _53534, _53537) <=> (! _53531) = _53537 & ? [_53569] : (part_of(_53569, _53528) & end_point(_53531, _53569) & end_point(_53537, _53569) & inner_point(_53534, _53569))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+1.ax', between_c_defn)).
% 0.40/1.41
% 0.40/1.41 cnf(1, plain, [-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))], clausify(theorem_3_8_2)).
% 0.40/1.41 cnf(2, plain, [between_c(15 ^ [], 18 ^ [], 17 ^ [], 16 ^ [])], clausify(theorem_3_8_2)).
% 0.40/1.41 cnf(3, plain, [-(_13212 = _13212)], theory(equality)).
% 0.40/1.41 cnf(4, plain, [_13365 = _13410, -(_13410 = _13365)], theory(equality)).
% 0.40/1.41 cnf(5, plain, [-(end_point(_16010, _16141)), end_point(_15943, _16076), _15943 = _16010, _16076 = _16141], theory(equality)).
% 0.40/1.41 cnf(6, plain, [-(inner_point(_17258, _17389)), inner_point(_17191, _17324), _17191 = _17258, _17324 = _17389], theory(equality)).
% 0.40/1.41 cnf(7, plain, [-(part_of(_19226, _19357)), part_of(_19159, _19292), _19159 = _19226, _19292 = _19357], theory(equality)).
% 0.40/1.41 cnf(8, plain, [between_c(_30902, _30990, _31077, _31163), _30990 = _31163], clausify(between_c_defn)).
% 0.40/1.41 cnf(9, plain, [between_c(_30902, _30990, _31077, _31163), -(part_of(14 ^ [_31163, _31077, _30990, _30902], _30902))], clausify(between_c_defn)).
% 0.40/1.41 cnf(10, plain, [between_c(_30902, _30990, _31077, _31163), -(end_point(_30990, 14 ^ [_31163, _31077, _30990, _30902]))], clausify(between_c_defn)).
% 0.40/1.41 cnf(11, plain, [between_c(_30902, _30990, _31077, _31163), -(end_point(_31163, 14 ^ [_31163, _31077, _30990, _30902]))], clausify(between_c_defn)).
% 0.40/1.41 cnf(12, plain, [between_c(_30902, _30990, _31077, _31163), -(inner_point(_31077, 14 ^ [_31163, _31077, _30990, _30902]))], clausify(between_c_defn)).
% 0.40/1.41 cnf(13, plain, [-(between_c(_30902, _30990, _31077, _31163)), -(_30990 = _31163), part_of(_31463, _30902), end_point(_30990, _31463), end_point(_31163, _31463), inner_point(_31077, _31463)], clausify(between_c_defn)).
% 0.40/1.41
% 0.40/1.41 cnf('1',plain,[between_c(15 ^ [], 18 ^ [], 17 ^ [], 16 ^ [])],start(2)).
% 0.40/1.41 cnf('1.1',plain,[-(between_c(15 ^ [], 18 ^ [], 17 ^ [], 16 ^ [])), -(18 ^ [] = 16 ^ []), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), end_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(13,bind([[_30902, _30990, _31163, _31077, _31463], [15 ^ [], 18 ^ [], 16 ^ [], 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.40/1.41 cnf('1.1.1',plain,[18 ^ [] = 16 ^ [], -(16 ^ [] = 18 ^ [])],extension(4,bind([[_13410, _13365], [16 ^ [], 18 ^ []]]))).
% 0.40/1.41 cnf('1.1.1.1',plain,[16 ^ [] = 18 ^ [], between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(8,bind([[_30902, _30990, _31077, _31163], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.40/1.41 cnf('1.1.1.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.40/1.41 cnf('1.1.2',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ []), 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [] = 15 ^ []],extension(7,bind([[_19159, _19226, _19292, _19357], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [], 15 ^ []]]))).
% 0.40/1.41 cnf('1.1.2.1',plain,[-(part_of(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 15 ^ [])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(9,bind([[_30902, _30990, _31077, _31163], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.40/1.41 cnf('1.1.2.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.40/1.41 cnf('1.1.2.2',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13212], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.40/1.41 cnf('1.1.2.3',plain,[-(15 ^ [] = 15 ^ [])],extension(3,bind([[_13212], [15 ^ []]]))).
% 0.40/1.41 cnf('1.1.3',plain,[-(end_point(18 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(11,bind([[_30902, _30990, _31077, _31163], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.40/1.41 cnf('1.1.3.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.40/1.41 cnf('1.1.4',plain,[-(end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), 16 ^ [] = 16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]],extension(5,bind([[_15943, _16010, _16076, _16141], [16 ^ [], 16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.40/1.41 cnf('1.1.4.1',plain,[-(end_point(16 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(10,bind([[_30902, _30990, _31077, _31163], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.40/1.41 cnf('1.1.4.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.40/1.41 cnf('1.1.4.2',plain,[-(16 ^ [] = 16 ^ [])],extension(3,bind([[_13212], [16 ^ []]]))).
% 0.40/1.41 cnf('1.1.4.3',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13212], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.40/1.41 cnf('1.1.5',plain,[-(inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]), 17 ^ [] = 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]],extension(6,bind([[_17191, _17258, _17324, _17389], [17 ^ [], 17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.40/1.41 cnf('1.1.5.1',plain,[-(inner_point(17 ^ [], 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])), between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ [])],extension(12,bind([[_30902, _30990, _31077, _31163], [15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []]]))).
% 0.40/1.41 cnf('1.1.5.1.1',plain,[-(between_c(15 ^ [], 16 ^ [], 17 ^ [], 18 ^ []))],extension(1)).
% 0.40/1.41 cnf('1.1.5.2',plain,[-(17 ^ [] = 17 ^ [])],extension(3,bind([[_13212], [17 ^ []]]))).
% 0.40/1.41 cnf('1.1.5.3',plain,[-(14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []] = 14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []])],extension(3,bind([[_13212], [14 ^ [18 ^ [], 17 ^ [], 16 ^ [], 15 ^ []]]]))).
% 0.40/1.41 %-----------------------------------------------------
% 0.40/1.41
% 0.40/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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