TSTP Solution File: SEU203+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU203+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 12:00:58 EDT 2022
% Result : Theorem 0.38s 1.42s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU203+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 20:40:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.38/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/1.44
% 0.45/1.44 %-----------------------------------------------------
% 0.45/1.44 fof(t143_relat_1, conjecture, ! [_44822, _44825, _44828] : (relation(_44828) => (in(_44822, relation_image(_44828, _44825)) <=> ? [_44860] : (in(_44860, relation_dom(_44828)) & in(ordered_pair(_44860, _44822), _44828) & in(_44860, _44825)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t143_relat_1)).
% 0.45/1.44 fof(d13_relat_1, axiom, ! [_45242] : (relation(_45242) => ! [_45257, _45260] : (_45260 = relation_image(_45242, _45257) <=> ! [_45281] : (in(_45281, _45260) <=> ? [_45299] : (in(ordered_pair(_45299, _45281), _45242) & in(_45299, _45257))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d13_relat_1)).
% 0.45/1.44 fof(d4_relat_1, axiom, ! [_45611] : (relation(_45611) => ! [_45626] : (_45626 = relation_dom(_45611) <=> ! [_45644] : (in(_45644, _45626) <=> ? [_45662] : in(ordered_pair(_45644, _45662), _45611)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 0.45/1.44
% 0.45/1.44 cnf(1, plain, [-(17 ^ []), in(12 ^ [], relation_image(14 ^ [], 13 ^ []))], clausify(t143_relat_1)).
% 0.45/1.44 cnf(2, plain, [-(17 ^ []), -(in(16 ^ [], 13 ^ []))], clausify(t143_relat_1)).
% 0.45/1.44 cnf(3, plain, [-(17 ^ []), -(in(ordered_pair(16 ^ [], 12 ^ []), 14 ^ []))], clausify(t143_relat_1)).
% 0.45/1.44 cnf(4, plain, [-(15 ^ []), in(_30790, relation_dom(14 ^ [])), in(ordered_pair(_30790, 12 ^ []), 14 ^ []), in(_30790, 13 ^ [])], clausify(t143_relat_1)).
% 0.45/1.44 cnf(5, plain, [-(15 ^ []), -(in(12 ^ [], relation_image(14 ^ [], 13 ^ [])))], clausify(t143_relat_1)).
% 0.45/1.44 cnf(6, plain, [-(relation(14 ^ []))], clausify(t143_relat_1)).
% 0.45/1.44 cnf(7, plain, [17 ^ [], 15 ^ []], clausify(t143_relat_1)).
% 0.45/1.44 cnf(8, plain, [_14627 = _14676, -(relation_dom(_14627) = relation_dom(_14676))], theory(equality)).
% 0.45/1.44 cnf(9, plain, [-(relation_image(_14956, _15089) = relation_image(_15023, _15154)), _14956 = _15023, _15089 = _15154], theory(equality)).
% 0.45/1.44 cnf(10, plain, [-(_11139 = _11139)], theory(equality)).
% 0.45/1.44 cnf(11, plain, [relation(_17469), _17667 = relation_image(_17469, _17590), in(_17839, _17667), -(in(ordered_pair(1 ^ [_17839, _17667, _17590, _17469], _17839), _17469))], clausify(d13_relat_1)).
% 0.45/1.44 cnf(12, plain, [relation(_17469), _17667 = relation_image(_17469, _17590), in(_17839, _17667), -(in(1 ^ [_17839, _17667, _17590, _17469], _17590))], clausify(d13_relat_1)).
% 0.45/1.44 cnf(13, plain, [relation(_17469), _17667 = relation_image(_17469, _17590), -(in(_17839, _17667)), in(ordered_pair(_17965, _17839), _17469), in(_17965, _17590)], clausify(d13_relat_1)).
% 0.45/1.44 cnf(14, plain, [relation(_18348), _18457 = relation_dom(_18348), -(in(_18597, _18457)), in(ordered_pair(_18597, _18713), _18348)], clausify(d4_relat_1)).
% 0.45/1.44
% 0.45/1.44 cnf('1',plain,[17 ^ [], 15 ^ []],start(7)).
% 0.45/1.44 cnf('1.1',plain,[-(17 ^ []), in(12 ^ [], relation_image(14 ^ [], 13 ^ []))],extension(1)).
% 0.45/1.44 cnf('1.1.1',plain,[-(in(12 ^ [], relation_image(14 ^ [], 13 ^ []))), relation(14 ^ []), relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ []), in(ordered_pair(16 ^ [], 12 ^ []), 14 ^ []), in(16 ^ [], 13 ^ [])],extension(13,bind([[_17667, _17839, _17469, _17965, _17590], [relation_image(14 ^ [], 13 ^ []), 12 ^ [], 14 ^ [], 16 ^ [], 13 ^ []]]))).
% 0.45/1.44 cnf('1.1.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.45/1.44 cnf('1.1.1.2',plain,[-(relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(9,bind([[_14956, _15023, _15089, _15154], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.45/1.44 cnf('1.1.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11139], [14 ^ []]]))).
% 0.45/1.44 cnf('1.1.1.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(10,bind([[_11139], [13 ^ []]]))).
% 0.45/1.44 cnf('1.1.1.3',plain,[-(in(ordered_pair(16 ^ [], 12 ^ []), 14 ^ [])), -(17 ^ [])],extension(3)).
% 0.45/1.44 cnf('1.1.1.3.1',plain,[17 ^ []],reduction('1')).
% 0.45/1.44 cnf('1.1.1.4',plain,[-(in(16 ^ [], 13 ^ [])), -(17 ^ [])],extension(2)).
% 0.45/1.44 cnf('1.1.1.4.1',plain,[17 ^ []],reduction('1')).
% 0.45/1.44 cnf('1.2',plain,[-(15 ^ []), in(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], relation_dom(14 ^ [])), in(ordered_pair(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 12 ^ []), 14 ^ []), in(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 13 ^ [])],extension(4,bind([[_30790], [1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []]]]))).
% 0.45/1.44 cnf('1.2.1',plain,[-(in(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], relation_dom(14 ^ []))), relation(14 ^ []), relation_dom(14 ^ []) = relation_dom(14 ^ []), in(ordered_pair(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 12 ^ []), 14 ^ [])],extension(14,bind([[_18457, _18597, _18713, _18348], [relation_dom(14 ^ []), 1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 12 ^ [], 14 ^ []]]))).
% 0.45/1.44 cnf('1.2.1.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.45/1.44 cnf('1.2.1.2',plain,[-(relation_dom(14 ^ []) = relation_dom(14 ^ [])), 14 ^ [] = 14 ^ []],extension(8,bind([[_14627, _14676], [14 ^ [], 14 ^ []]]))).
% 0.45/1.44 cnf('1.2.1.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11139], [14 ^ []]]))).
% 0.45/1.44 cnf('1.2.1.3',plain,[-(in(ordered_pair(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 12 ^ []), 14 ^ [])), relation(14 ^ []), relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ []), in(12 ^ [], relation_image(14 ^ [], 13 ^ []))],extension(11,bind([[_17469, _17590, _17839, _17667], [14 ^ [], 13 ^ [], 12 ^ [], relation_image(14 ^ [], 13 ^ [])]]))).
% 0.45/1.44 cnf('1.2.1.3.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.45/1.44 cnf('1.2.1.3.2',plain,[-(relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ []))],extension(10,bind([[_11139], [relation_image(14 ^ [], 13 ^ [])]]))).
% 0.45/1.44 cnf('1.2.1.3.3',plain,[-(in(12 ^ [], relation_image(14 ^ [], 13 ^ []))), -(15 ^ [])],extension(5)).
% 0.45/1.44 cnf('1.2.1.3.3.1',plain,[15 ^ []],reduction('1')).
% 0.45/1.44 cnf('1.2.2',plain,[-(in(ordered_pair(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 12 ^ []), 14 ^ [])), relation(14 ^ []), relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ []), in(12 ^ [], relation_image(14 ^ [], 13 ^ []))],extension(11,bind([[_17469, _17590, _17839, _17667], [14 ^ [], 13 ^ [], 12 ^ [], relation_image(14 ^ [], 13 ^ [])]]))).
% 0.45/1.44 cnf('1.2.2.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.45/1.44 cnf('1.2.2.2',plain,[-(relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(9,bind([[_14956, _15023, _15089, _15154], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.45/1.44 cnf('1.2.2.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11139], [14 ^ []]]))).
% 0.45/1.44 cnf('1.2.2.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(10,bind([[_11139], [13 ^ []]]))).
% 0.45/1.44 cnf('1.2.2.3',plain,[-(in(12 ^ [], relation_image(14 ^ [], 13 ^ []))), -(15 ^ [])],extension(5)).
% 0.45/1.44 cnf('1.2.2.3.1',plain,[15 ^ []],reduction('1')).
% 0.45/1.44 cnf('1.2.3',plain,[-(in(1 ^ [12 ^ [], relation_image(14 ^ [], 13 ^ []), 13 ^ [], 14 ^ []], 13 ^ [])), relation(14 ^ []), relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ []), in(12 ^ [], relation_image(14 ^ [], 13 ^ []))],extension(12,bind([[_17469, _17590, _17839, _17667], [14 ^ [], 13 ^ [], 12 ^ [], relation_image(14 ^ [], 13 ^ [])]]))).
% 0.45/1.44 cnf('1.2.3.1',plain,[-(relation(14 ^ []))],extension(6)).
% 0.45/1.44 cnf('1.2.3.2',plain,[-(relation_image(14 ^ [], 13 ^ []) = relation_image(14 ^ [], 13 ^ [])), 14 ^ [] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(9,bind([[_14956, _15023, _15089, _15154], [14 ^ [], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 0.45/1.44 cnf('1.2.3.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(10,bind([[_11139], [14 ^ []]]))).
% 0.45/1.44 cnf('1.2.3.2.2',plain,[-(13 ^ [] = 13 ^ [])],extension(10,bind([[_11139], [13 ^ []]]))).
% 0.45/1.44 cnf('1.2.3.3',plain,[-(in(12 ^ [], relation_image(14 ^ [], 13 ^ []))), -(15 ^ [])],extension(5)).
% 0.45/1.44 cnf('1.2.3.3.1',plain,[15 ^ []],reduction('1')).
% 0.45/1.44 %-----------------------------------------------------
% 0.45/1.44
% 0.45/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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