TSTP Solution File: SEU208+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU208+1 : 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 : Tue Jul 19 12:01:00 EDT 2022
% Result : Theorem 0.37s 1.43s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SEU208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.15 % Command : leancop_casc.sh %s %d
% 0.11/0.34 % Computer : n029.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 600
% 0.11/0.34 % DateTime : Sun Jun 19 23:32:30 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.37/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.45
% 0.39/1.45 %-----------------------------------------------------
% 0.39/1.45 fof(t166_relat_1, conjecture, ! [_44811, _44814, _44817] : (relation(_44817) => (in(_44811, relation_inverse_image(_44817, _44814)) <=> ? [_44849] : (in(_44849, relation_rng(_44817)) & in(ordered_pair(_44811, _44849), _44817) & in(_44849, _44814)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t166_relat_1)).
% 0.39/1.45 fof(d14_relat_1, axiom, ! [_45231] : (relation(_45231) => ! [_45246, _45249] : (_45249 = relation_inverse_image(_45231, _45246) <=> ! [_45270] : (in(_45270, _45249) <=> ? [_45288] : (in(ordered_pair(_45270, _45288), _45231) & in(_45288, _45246))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d14_relat_1)).
% 0.39/1.45 fof(d5_relat_1, axiom, ! [_45600] : (relation(_45600) => ! [_45615] : (_45615 = relation_rng(_45600) <=> ! [_45633] : (in(_45633, _45615) <=> ? [_45651] : in(ordered_pair(_45651, _45633), _45600)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_relat_1)).
% 0.39/1.45
% 0.39/1.45 cnf(1, plain, [-(17 ^ []), in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))], clausify(t166_relat_1)).
% 0.39/1.45 cnf(2, plain, [-(17 ^ []), -(in(16 ^ [], 13 ^ []))], clausify(t166_relat_1)).
% 0.39/1.45 cnf(3, plain, [-(17 ^ []), -(in(ordered_pair(12 ^ [], 16 ^ []), 14 ^ []))], clausify(t166_relat_1)).
% 0.39/1.45 cnf(4, plain, [-(15 ^ []), in(_30757, relation_rng(14 ^ [])), in(ordered_pair(12 ^ [], _30757), 14 ^ []), in(_30757, 13 ^ [])], clausify(t166_relat_1)).
% 0.39/1.45 cnf(5, plain, [-(15 ^ []), -(in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ [])))], clausify(t166_relat_1)).
% 0.39/1.45 cnf(6, plain, [-(relation(14 ^ []))], clausify(t166_relat_1)).
% 0.39/1.45 cnf(7, plain, [17 ^ [], 15 ^ []], clausify(t166_relat_1)).
% 0.39/1.45 cnf(8, plain, [-(relation_inverse_image(_14594, _14727) = relation_inverse_image(_14661, _14792)), _14594 = _14661, _14727 = _14792], theory(equality)).
% 0.39/1.45 cnf(9, plain, [_15218 = _15267, -(relation_rng(_15218) = relation_rng(_15267))], theory(equality)).
% 0.39/1.45 cnf(10, plain, [-(_11106 = _11106)], theory(equality)).
% 0.39/1.45 cnf(11, plain, [relation(_17436), _17634 = relation_inverse_image(_17436, _17557), in(_17806, _17634), -(in(ordered_pair(_17806, 1 ^ [_17806, _17634, _17557, _17436]), _17436))], clausify(d14_relat_1)).
% 0.39/1.45 cnf(12, plain, [relation(_17436), _17634 = relation_inverse_image(_17436, _17557), in(_17806, _17634), -(in(1 ^ [_17806, _17634, _17557, _17436], _17557))], clausify(d14_relat_1)).
% 0.39/1.45 cnf(13, plain, [relation(_17436), _17634 = relation_inverse_image(_17436, _17557), -(in(_17806, _17634)), in(ordered_pair(_17806, _17932), _17436), in(_17932, _17557)], clausify(d14_relat_1)).
% 0.39/1.45 cnf(14, plain, [relation(_18315), _18424 = relation_rng(_18315), -(in(_18564, _18424)), in(ordered_pair(_18680, _18564), _18315)], clausify(d5_relat_1)).
% 0.39/1.45
% 0.39/1.45 cnf('1',plain,[17 ^ [], 15 ^ []],start(7)).
% 0.39/1.45 cnf('1.1',plain,[-(17 ^ []), in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))],extension(1)).
% 0.39/1.45 cnf('1.1.1',plain,[-(in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))), relation(14 ^ []), relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []), in(ordered_pair(12 ^ [], 16 ^ []), 14 ^ []), in(16 ^ [], 13 ^ [])],extension(13,bind([[_17634, _17806, _17436, _17932, _17557], [relation_inverse_image(14 ^ [], 13 ^ []), 12 ^ [], 14 ^ [], 16 ^ [], 13 ^ []]]))).
% 0.39/1.45 cnf('1.1.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.39/1.45 cnf('1.1.1.2',plain,[-(relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(8,bind([[_14594, _14661, _14727, _14792], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.39/1.45 cnf('1.1.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11106], [14 ^ []]]))).
% 0.39/1.45 cnf('1.1.1.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(10,bind([[_11106], [13 ^ []]]))).
% 0.39/1.45 cnf('1.1.1.3',plain,[-(in(ordered_pair(12 ^ [], 16 ^ []), 14 ^ [])), -(17 ^ [])],extension(3)).
% 0.39/1.45 cnf('1.1.1.3.1',plain,[17 ^ []],reduction('1')).
% 0.39/1.45 cnf('1.1.1.4',plain,[-(in(16 ^ [], 13 ^ [])), -(17 ^ [])],extension(2)).
% 0.39/1.45 cnf('1.1.1.4.1',plain,[17 ^ []],reduction('1')).
% 0.39/1.45 cnf('1.2',plain,[-(15 ^ []), in(1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], relation_rng(14 ^ [])), in(ordered_pair(12 ^ [], 1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []]), 14 ^ []), in(1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 13 ^ [])],extension(4,bind([[_30757], [1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []]]]))).
% 0.39/1.45 cnf('1.2.1',plain,[-(in(1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], relation_rng(14 ^ []))), relation(14 ^ []), relation_rng(14 ^ []) = relation_rng(14 ^ []), in(ordered_pair(12 ^ [], 1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []]), 14 ^ [])],extension(14,bind([[_18424, _18680, _18564, _18315], [relation_rng(14 ^ []), 12 ^ [], 1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 14 ^ []]]))).
% 0.39/1.45 cnf('1.2.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.39/1.45 cnf('1.2.1.2',plain,[-(relation_rng(14 ^ []) = relation_rng(14 ^ [])), 14 ^ [] = 14 ^ []],extension(9,bind([[_15218, _15267], [14 ^ [], 14 ^ []]]))).
% 0.39/1.45 cnf('1.2.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11106], [14 ^ []]]))).
% 0.39/1.45 cnf('1.2.1.3',plain,[-(in(ordered_pair(12 ^ [], 1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []]), 14 ^ [])), relation(14 ^ []), relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []), in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))],extension(11,bind([[_17436, _17557, _17806, _17634], [14 ^ [], 13 ^ [], 12 ^ [], relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.39/1.45 cnf('1.2.1.3.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.39/1.45 cnf('1.2.1.3.2',plain,[-(relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []))],extension(10,bind([[_11106], [relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.39/1.45 cnf('1.2.1.3.3',plain,[-(in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))), -(15 ^ [])],extension(5)).
% 0.39/1.45 cnf('1.2.1.3.3.1',plain,[15 ^ []],reduction('1')).
% 0.39/1.45 cnf('1.2.2',plain,[-(in(ordered_pair(12 ^ [], 1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []]), 14 ^ [])), relation(14 ^ []), relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []), in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))],extension(11,bind([[_17436, _17557, _17806, _17634], [14 ^ [], 13 ^ [], 12 ^ [], relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.39/1.45 cnf('1.2.2.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.39/1.45 cnf('1.2.2.2',plain,[-(relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(8,bind([[_14594, _14661, _14727, _14792], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.39/1.45 cnf('1.2.2.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11106], [14 ^ []]]))).
% 0.39/1.45 cnf('1.2.2.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(10,bind([[_11106], [13 ^ []]]))).
% 0.39/1.45 cnf('1.2.2.3',plain,[-(in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))), -(15 ^ [])],extension(5)).
% 0.39/1.45 cnf('1.2.2.3.1',plain,[15 ^ []],reduction('1')).
% 0.39/1.45 cnf('1.2.3',plain,[-(in(1 ^ [12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 13 ^ [])), relation(14 ^ []), relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ []), in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))],extension(12,bind([[_17436, _17557, _17806, _17634], [14 ^ [], 13 ^ [], 12 ^ [], relation_inverse_image(14 ^ [], 13 ^ [])]]))).
% 0.39/1.45 cnf('1.2.3.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.39/1.45 cnf('1.2.3.2',plain,[-(relation_inverse_image(14 ^ [], 13 ^ []) = relation_inverse_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(8,bind([[_14594, _14661, _14727, _14792], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.39/1.45 cnf('1.2.3.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11106], [14 ^ []]]))).
% 0.39/1.45 cnf('1.2.3.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(10,bind([[_11106], [13 ^ []]]))).
% 0.39/1.45 cnf('1.2.3.3',plain,[-(in(12 ^ [], relation_inverse_image(14 ^ [], 13 ^ []))), -(15 ^ [])],extension(5)).
% 0.39/1.45 cnf('1.2.3.3.1',plain,[15 ^ []],reduction('1')).
% 0.39/1.45 %-----------------------------------------------------
% 0.39/1.45
% 0.39/1.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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