TSTP Solution File: SEU179+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 12:00:46 EDT 2022
% Result : Theorem 0.42s 1.39s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n028.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 : Sun Jun 19 03:31:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.42/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/1.40
% 0.49/1.40 %-----------------------------------------------------
% 0.49/1.40 fof(t25_relat_1, conjecture, ! [_46679] : (relation(_46679) => ! [_46694] : (relation(_46694) => subset(_46679, _46694) => subset(relation_dom(_46679), relation_dom(_46694)) & subset(relation_rng(_46679), relation_rng(_46694)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_relat_1)).
% 0.49/1.40 fof(d3_tarski, axiom, ! [_47032, _47035] : (subset(_47032, _47035) <=> ! [_47053] : (in(_47053, _47032) => in(_47053, _47035))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.49/1.40 fof(d4_relat_1, axiom, ! [_47260] : (relation(_47260) => ! [_47275] : (_47275 = relation_dom(_47260) <=> ! [_47293] : (in(_47293, _47275) <=> ? [_47311] : in(ordered_pair(_47293, _47311), _47260)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 0.49/1.40 fof(d5_relat_1, axiom, ! [_47569] : (relation(_47569) => ! [_47584] : (_47584 = relation_rng(_47569) <=> ! [_47602] : (in(_47602, _47584) <=> ? [_47620] : in(ordered_pair(_47620, _47602), _47569)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_relat_1)).
% 0.49/1.40
% 0.49/1.40 cnf(1, plain, [-(relation(14 ^ []))], clausify(t25_relat_1)).
% 0.49/1.40 cnf(2, plain, [-(relation(15 ^ []))], clausify(t25_relat_1)).
% 0.49/1.40 cnf(3, plain, [-(subset(14 ^ [], 15 ^ []))], clausify(t25_relat_1)).
% 0.49/1.40 cnf(4, plain, [subset(relation_dom(14 ^ []), relation_dom(15 ^ [])), subset(relation_rng(14 ^ []), relation_rng(15 ^ []))], clausify(t25_relat_1)).
% 0.49/1.40 cnf(5, plain, [_16949 = _16998, -(relation_dom(_16949) = relation_dom(_16998))], theory(equality)).
% 0.49/1.40 cnf(6, plain, [_17278 = _17327, -(relation_rng(_17278) = relation_rng(_17327))], theory(equality)).
% 0.49/1.40 cnf(7, plain, [-(_12493 = _12493)], theory(equality)).
% 0.49/1.40 cnf(8, plain, [-(subset(_19301, _19357)), -(in(1 ^ [_19357, _19301], _19301))], clausify(d3_tarski)).
% 0.49/1.40 cnf(9, plain, [-(subset(_19301, _19357)), in(1 ^ [_19357, _19301], _19357)], clausify(d3_tarski)).
% 0.49/1.40 cnf(10, plain, [subset(_19301, _19357), in(_19471, _19301), -(in(_19471, _19357))], clausify(d3_tarski)).
% 0.49/1.40 cnf(11, plain, [relation(_19762), _19871 = relation_dom(_19762), in(_20011, _19871), -(in(ordered_pair(_20011, 2 ^ [_20011, _19871, _19762]), _19762))], clausify(d4_relat_1)).
% 0.49/1.40 cnf(12, plain, [relation(_19762), _19871 = relation_dom(_19762), -(in(_20011, _19871)), in(ordered_pair(_20011, _20127), _19762)], clausify(d4_relat_1)).
% 0.49/1.40 cnf(13, plain, [relation(_20419), _20528 = relation_rng(_20419), in(_20668, _20528), -(in(ordered_pair(5 ^ [_20668, _20528, _20419], _20668), _20419))], clausify(d5_relat_1)).
% 0.49/1.40 cnf(14, plain, [relation(_20419), _20528 = relation_rng(_20419), -(in(_20668, _20528)), in(ordered_pair(_20784, _20668), _20419)], clausify(d5_relat_1)).
% 0.49/1.40
% 0.49/1.40 cnf('1',plain,[subset(relation_dom(14 ^ []), relation_dom(15 ^ [])), subset(relation_rng(14 ^ []), relation_rng(15 ^ []))],start(4)).
% 0.49/1.40 cnf('1.1',plain,[-(subset(relation_dom(14 ^ []), relation_dom(15 ^ []))), -(in(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ [])))],extension(8,bind([[_19357, _19301], [relation_dom(15 ^ []), relation_dom(14 ^ [])]]))).
% 0.49/1.40 cnf('1.1.1',plain,[in(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ [])), relation(14 ^ []), relation_dom(14 ^ []) = relation_dom(14 ^ []), -(in(ordered_pair(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], 2 ^ [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []]), 14 ^ []))],extension(11,bind([[_20011, _19871, _19762], [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []]]))).
% 0.49/1.40 cnf('1.1.1.1',plain,[-(relation(14 ^ []))],extension(1)).
% 0.49/1.40 cnf('1.1.1.2',plain,[-(relation_dom(14 ^ []) = relation_dom(14 ^ [])), 14 ^ [] = 14 ^ []],extension(5,bind([[_16949, _16998], [14 ^ [], 14 ^ []]]))).
% 0.49/1.40 cnf('1.1.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12493], [14 ^ []]]))).
% 0.49/1.40 cnf('1.1.1.3',plain,[in(ordered_pair(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], 2 ^ [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []]), 14 ^ []), subset(14 ^ [], 15 ^ []), -(in(ordered_pair(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], 2 ^ [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []]), 15 ^ []))],extension(10,bind([[_19301, _19471, _19357], [14 ^ [], ordered_pair(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], 2 ^ [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []]), 15 ^ []]]))).
% 0.49/1.40 cnf('1.1.1.3.1',plain,[-(subset(14 ^ [], 15 ^ []))],extension(3)).
% 0.49/1.40 cnf('1.1.1.3.2',plain,[in(ordered_pair(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], 2 ^ [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []]), 15 ^ []), relation(15 ^ []), relation_dom(15 ^ []) = relation_dom(15 ^ []), -(in(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(15 ^ [])))],extension(12,bind([[_20127, _19762, _20011, _19871], [2 ^ [1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(14 ^ []), 14 ^ []], 15 ^ [], 1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(15 ^ [])]]))).
% 0.49/1.40 cnf('1.1.1.3.2.1',plain,[-(relation(15 ^ []))],extension(2)).
% 0.49/1.40 cnf('1.1.1.3.2.2',plain,[-(relation_dom(15 ^ []) = relation_dom(15 ^ []))],extension(7,bind([[_12493], [relation_dom(15 ^ [])]]))).
% 0.49/1.40 cnf('1.1.1.3.2.3',plain,[in(1 ^ [relation_dom(15 ^ []), relation_dom(14 ^ [])], relation_dom(15 ^ [])), -(subset(relation_dom(14 ^ []), relation_dom(15 ^ [])))],extension(9,bind([[_19301, _19357], [relation_dom(14 ^ []), relation_dom(15 ^ [])]]))).
% 0.49/1.40 cnf('1.1.1.3.2.3.1',plain,[subset(relation_dom(14 ^ []), relation_dom(15 ^ []))],reduction('1')).
% 0.49/1.40 cnf('1.2',plain,[-(subset(relation_rng(14 ^ []), relation_rng(15 ^ []))), -(in(1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ [])))],extension(8,bind([[_19357, _19301], [relation_rng(15 ^ []), relation_rng(14 ^ [])]]))).
% 0.49/1.40 cnf('1.2.1',plain,[in(1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ [])), relation(14 ^ []), relation_rng(14 ^ []) = relation_rng(14 ^ []), -(in(ordered_pair(5 ^ [1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ []), 14 ^ []], 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])]), 14 ^ []))],extension(13,bind([[_20528, _20668, _20419], [relation_rng(14 ^ []), 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], 14 ^ []]]))).
% 0.49/1.40 cnf('1.2.1.1',plain,[-(relation(14 ^ []))],extension(1)).
% 0.49/1.40 cnf('1.2.1.2',plain,[-(relation_rng(14 ^ []) = relation_rng(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_17278, _17327], [14 ^ [], 14 ^ []]]))).
% 0.49/1.40 cnf('1.2.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12493], [14 ^ []]]))).
% 0.49/1.40 cnf('1.2.1.3',plain,[in(ordered_pair(5 ^ [1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ []), 14 ^ []], 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])]), 14 ^ []), subset(14 ^ [], 15 ^ []), -(in(ordered_pair(5 ^ [1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ []), 14 ^ []], 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])]), 15 ^ []))],extension(10,bind([[_19301, _19471, _19357], [14 ^ [], ordered_pair(5 ^ [1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ []), 14 ^ []], 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])]), 15 ^ []]]))).
% 0.49/1.40 cnf('1.2.1.3.1',plain,[-(subset(14 ^ [], 15 ^ []))],extension(3)).
% 0.49/1.40 cnf('1.2.1.3.2',plain,[in(ordered_pair(5 ^ [1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ []), 14 ^ []], 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])]), 15 ^ []), relation(15 ^ []), relation_rng(15 ^ []) = relation_rng(15 ^ []), -(in(1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(15 ^ [])))],extension(14,bind([[_20784, _20419, _20668, _20528], [5 ^ [1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(14 ^ []), 14 ^ []], 15 ^ [], 1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(15 ^ [])]]))).
% 0.49/1.40 cnf('1.2.1.3.2.1',plain,[-(relation(15 ^ []))],extension(2)).
% 0.49/1.40 cnf('1.2.1.3.2.2',plain,[-(relation_rng(15 ^ []) = relation_rng(15 ^ []))],extension(7,bind([[_12493], [relation_rng(15 ^ [])]]))).
% 0.49/1.40 cnf('1.2.1.3.2.3',plain,[in(1 ^ [relation_rng(15 ^ []), relation_rng(14 ^ [])], relation_rng(15 ^ [])), -(subset(relation_rng(14 ^ []), relation_rng(15 ^ [])))],extension(9,bind([[_19301, _19357], [relation_rng(14 ^ []), relation_rng(15 ^ [])]]))).
% 0.49/1.40 cnf('1.2.1.3.2.3.1',plain,[subset(relation_rng(14 ^ []), relation_rng(15 ^ []))],reduction('1')).
% 0.49/1.40 %-----------------------------------------------------
% 0.49/1.41
% 0.49/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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