TSTP Solution File: SEU208+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU208+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:01:01 EDT 2022
% Result : Theorem 112.52s 109.32s
% Output : Proof 112.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU208+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 04:41:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 112.52/109.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 112.59/109.33 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 112.59/109.33
% 112.59/109.33 %-----------------------------------------------------
% 112.59/109.33 fof(t166_relat_1, conjecture, ! [_290530, _290533, _290536] : (relation(_290536) => (in(_290530, relation_inverse_image(_290536, _290533)) <=> ? [_290568] : (in(_290568, relation_rng(_290536)) & in(ordered_pair(_290530, _290568), _290536) & in(_290568, _290533)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t166_relat_1)).
% 112.59/109.33 fof(d14_relat_1, axiom, ! [_290960] : (relation(_290960) => ! [_290975, _290978] : (_290978 = relation_inverse_image(_290960, _290975) <=> ! [_290999] : (in(_290999, _290978) <=> ? [_291017] : (in(ordered_pair(_290999, _291017), _290960) & in(_291017, _290975))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_1)).
% 112.59/109.33 fof(t20_relat_1, lemma, ! [_291542, _291545, _291548] : (relation(_291548) => in(ordered_pair(_291542, _291545), _291548) => in(_291542, relation_dom(_291548)) & in(_291545, relation_rng(_291548))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t20_relat_1)).
% 112.59/109.33
% 112.59/109.33 cnf(1, plain, [-(relation(71 ^ []))], clausify(t166_relat_1)).
% 112.59/109.33 cnf(2, plain, [-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))), -(in(72 ^ [], relation_rng(71 ^ [])))], clausify(t166_relat_1)).
% 112.59/109.33 cnf(3, plain, [-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))), -(in(ordered_pair(69 ^ [], 72 ^ []), 71 ^ []))], clausify(t166_relat_1)).
% 112.59/109.33 cnf(4, plain, [-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))), -(in(72 ^ [], 70 ^ []))], clausify(t166_relat_1)).
% 112.59/109.33 cnf(5, plain, [in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), in(_228155, relation_rng(71 ^ [])), in(ordered_pair(69 ^ [], _228155), 71 ^ []), in(_228155, 70 ^ [])], clausify(t166_relat_1)).
% 112.59/109.33 cnf(6, plain, [-(_93884 = _93884)], theory(equality)).
% 112.59/109.33 cnf(7, plain, [relation(_119233), _119431 = relation_inverse_image(_119233, _119354), in(_119603, _119431), -(in(ordered_pair(_119603, 10 ^ [_119603, _119431, _119354, _119233]), _119233))], clausify(d14_relat_1)).
% 112.59/109.33 cnf(8, plain, [relation(_119233), _119431 = relation_inverse_image(_119233, _119354), in(_119603, _119431), -(in(10 ^ [_119603, _119431, _119354, _119233], _119354))], clausify(d14_relat_1)).
% 112.59/109.33 cnf(9, plain, [relation(_119233), _119431 = relation_inverse_image(_119233, _119354), -(in(_119603, _119431)), in(ordered_pair(_119603, _119729), _119233), in(_119729, _119354)], clausify(d14_relat_1)).
% 112.59/109.33 cnf(10, plain, [relation(_169672), in(ordered_pair(_169537, _169605), _169672), -(in(_169605, relation_rng(_169672)))], clausify(t20_relat_1)).
% 112.59/109.33
% 112.59/109.33 cnf('1',plain,[in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), in(72 ^ [], relation_rng(71 ^ [])), in(ordered_pair(69 ^ [], 72 ^ []), 71 ^ []), in(72 ^ [], 70 ^ [])],start(5,bind([[_228155], [72 ^ []]]))).
% 112.59/109.33 cnf('1.1',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))), -(in(ordered_pair(69 ^ [], 72 ^ []), 71 ^ []))],extension(3)).
% 112.59/109.33 cnf('1.1.1',plain,[in(ordered_pair(69 ^ [], 72 ^ []), 71 ^ []), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), -(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))), in(72 ^ [], 70 ^ [])],extension(9,bind([[_119233, _119603, _119431, _119729, _119354], [71 ^ [], 69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 72 ^ [], 70 ^ []]]))).
% 112.59/109.33 cnf('1.1.1.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.1.1.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.1.1.3',plain,[in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))],reduction('1')).
% 112.59/109.33 cnf('1.1.1.4',plain,[-(in(72 ^ [], 70 ^ [])), -(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],extension(4)).
% 112.59/109.33 cnf('1.1.1.4.1',plain,[in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))],lemmata('1.1.1')).
% 112.59/109.33 cnf('1.2',plain,[-(in(72 ^ [], relation_rng(71 ^ []))), -(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],extension(2)).
% 112.59/109.33 cnf('1.2.1',plain,[in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), -(in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],extension(7,bind([[_119603, _119431, _119354, _119233], [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]))).
% 112.59/109.33 cnf('1.2.1.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.2.1.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.2.1.3',plain,[in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []), in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], relation_rng(71 ^ [])), in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 70 ^ [])],extension(5,bind([[_228155], [10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]]))).
% 112.59/109.33 cnf('1.2.1.3.1',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],lemmata('1')).
% 112.59/109.33 cnf('1.2.1.3.2',plain,[-(in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], relation_rng(71 ^ []))), relation(71 ^ []), in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ [])],extension(10,bind([[_169537, _169605, _169672], [69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 71 ^ []]]))).
% 112.59/109.33 cnf('1.2.1.3.2.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.2.1.3.2.2',plain,[-(in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],reduction('1.2.1')).
% 112.59/109.33 cnf('1.2.1.3.3',plain,[-(in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))],extension(8,bind([[_119233, _119354, _119603, _119431], [71 ^ [], 70 ^ [], 69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.2.1.3.3.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.2.1.3.3.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.2.1.3.3.3',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],lemmata('1.2.1.3')).
% 112.59/109.33 cnf('1.3',plain,[-(in(ordered_pair(69 ^ [], 72 ^ []), 71 ^ [])), -(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],extension(3)).
% 112.59/109.33 cnf('1.3.1',plain,[in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), -(in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],extension(7,bind([[_119603, _119431, _119354, _119233], [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]))).
% 112.59/109.33 cnf('1.3.1.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.3.1.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.3.1.3',plain,[in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []), in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], relation_rng(71 ^ [])), in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 70 ^ [])],extension(5,bind([[_228155], [10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]]))).
% 112.59/109.33 cnf('1.3.1.3.1',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],lemmata('1')).
% 112.59/109.33 cnf('1.3.1.3.2',plain,[-(in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], relation_rng(71 ^ []))), relation(71 ^ []), in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ [])],extension(10,bind([[_169537, _169605, _169672], [69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 71 ^ []]]))).
% 112.59/109.33 cnf('1.3.1.3.2.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.3.1.3.2.2',plain,[-(in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],reduction('1.3.1')).
% 112.59/109.33 cnf('1.3.1.3.3',plain,[-(in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))],extension(8,bind([[_119233, _119354, _119603, _119431], [71 ^ [], 70 ^ [], 69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.3.1.3.3.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.3.1.3.3.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.3.1.3.3.3',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],lemmata('1.3.1.3')).
% 112.59/109.33 cnf('1.4',plain,[-(in(72 ^ [], 70 ^ [])), -(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],extension(4)).
% 112.59/109.33 cnf('1.4.1',plain,[in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), -(in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],extension(7,bind([[_119603, _119431, _119354, _119233], [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]))).
% 112.59/109.33 cnf('1.4.1.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.4.1.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.4.1.3',plain,[in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []), in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])), in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], relation_rng(71 ^ [])), in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 70 ^ [])],extension(5,bind([[_228155], [10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]]))).
% 112.59/109.33 cnf('1.4.1.3.1',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],lemmata('1')).
% 112.59/109.33 cnf('1.4.1.3.2',plain,[-(in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], relation_rng(71 ^ []))), relation(71 ^ []), in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ [])],extension(10,bind([[_169537, _169605, _169672], [69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 71 ^ []]]))).
% 112.59/109.33 cnf('1.4.1.3.2.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.4.1.3.2.2',plain,[-(in(ordered_pair(69 ^ [], 10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],reduction('1.4.1')).
% 112.59/109.33 cnf('1.4.1.3.3',plain,[-(in(10 ^ [69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ []))],extension(8,bind([[_119233, _119354, _119603, _119431], [71 ^ [], 70 ^ [], 69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.4.1.3.3.1',plain,[-(relation(71 ^ []))],extension(1)).
% 112.59/109.33 cnf('1.4.1.3.3.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(6,bind([[_93884], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 112.59/109.33 cnf('1.4.1.3.3.3',plain,[-(in(69 ^ [], relation_inverse_image(71 ^ [], 70 ^ [])))],lemmata('1.4.1.3')).
% 112.59/109.33 %-----------------------------------------------------
% 112.59/109.34
% 112.59/109.34 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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