TSTP Solution File: SEU187+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU187+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 12:00:50 EDT 2022
% Result : Theorem 2.12s 2.42s
% Output : Proof 2.16s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU187+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 01:57:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.12/2.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.16/2.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.16/2.43
% 2.16/2.43 %-----------------------------------------------------
% 2.16/2.43 fof(t60_relat_1, conjecture, relation_dom(empty_set) = empty_set & relation_rng(empty_set) = empty_set, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t60_relat_1)).
% 2.16/2.43 fof(cc1_relat_1, axiom, ! [_218533] : (empty(_218533) => relation(_218533)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relat_1)).
% 2.16/2.43 fof(d4_relat_1, axiom, ! [_218717] : (relation(_218717) => ! [_218732] : (_218732 = relation_dom(_218717) <=> ! [_218750] : (in(_218750, _218732) <=> ? [_218768] : in(ordered_pair(_218750, _218768), _218717)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 2.16/2.43 fof(d5_relat_1, axiom, ! [_219028] : (relation(_219028) => ! [_219043] : (_219043 = relation_rng(_219028) <=> ! [_219061] : (in(_219061, _219043) <=> ? [_219079] : in(ordered_pair(_219079, _219061), _219028)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_relat_1)).
% 2.16/2.43 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_xboole_0)).
% 2.16/2.43 fof(t7_boole, axiom, ! [_219538, _219541] : ~ (in(_219538, _219541) & empty(_219541)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_boole)).
% 2.16/2.43
% 2.16/2.43 cnf(1, plain, [relation_dom(empty_set) = empty_set, relation_rng(empty_set) = empty_set], clausify(t60_relat_1)).
% 2.16/2.43 cnf(2, plain, [_72761 = _72806, -(_72806 = _72761)], theory(equality)).
% 2.16/2.43 cnf(3, plain, [empty(_89864), -(relation(_89864))], clausify(cc1_relat_1)).
% 2.16/2.43 cnf(4, plain, [relation(_98453), -(_98562 = relation_dom(_98453)), -(in(20 ^ [_98562, _98453], _98562)), -(in(ordered_pair(20 ^ [_98562, _98453], 21 ^ [_98562, _98453]), _98453))], clausify(d4_relat_1)).
% 2.16/2.43 cnf(5, plain, [relation(_100659), -(_100768 = relation_rng(_100659)), -(in(27 ^ [_100768, _100659], _100768)), -(in(ordered_pair(28 ^ [_100768, _100659], 27 ^ [_100768, _100659]), _100659))], clausify(d5_relat_1)).
% 2.16/2.43 cnf(6, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 2.16/2.43 cnf(7, plain, [in(_152701, _152747), empty(_152747)], clausify(t7_boole)).
% 2.16/2.43
% 2.16/2.43 cnf('1',plain,[relation_dom(empty_set) = empty_set, relation_rng(empty_set) = empty_set],start(1)).
% 2.16/2.43 cnf('1.1',plain,[-(relation_dom(empty_set) = empty_set), empty_set = relation_dom(empty_set)],extension(2,bind([[_72761, _72806], [empty_set, relation_dom(empty_set)]]))).
% 2.16/2.43 cnf('1.1.1',plain,[-(empty_set = relation_dom(empty_set)), relation(empty_set), -(in(20 ^ [empty_set, empty_set], empty_set)), -(in(ordered_pair(20 ^ [empty_set, empty_set], 21 ^ [empty_set, empty_set]), empty_set))],extension(4,bind([[_98562, _98453], [empty_set, empty_set]]))).
% 2.16/2.43 cnf('1.1.1.1',plain,[-(relation(empty_set)), empty(empty_set)],extension(3,bind([[_89864], [empty_set]]))).
% 2.16/2.43 cnf('1.1.1.1.1',plain,[-(empty(empty_set))],extension(6)).
% 2.16/2.43 cnf('1.1.1.2',plain,[in(20 ^ [empty_set, empty_set], empty_set), empty(empty_set)],extension(7,bind([[_152701, _152747], [20 ^ [empty_set, empty_set], empty_set]]))).
% 2.16/2.43 cnf('1.1.1.2.1',plain,[-(empty(empty_set))],extension(6)).
% 2.16/2.43 cnf('1.1.1.3',plain,[in(ordered_pair(20 ^ [empty_set, empty_set], 21 ^ [empty_set, empty_set]), empty_set), empty(empty_set)],extension(7,bind([[_152701, _152747], [ordered_pair(20 ^ [empty_set, empty_set], 21 ^ [empty_set, empty_set]), empty_set]]))).
% 2.16/2.43 cnf('1.1.1.3.1',plain,[-(empty(empty_set))],extension(6)).
% 2.16/2.43 cnf('1.2',plain,[-(relation_rng(empty_set) = empty_set), empty_set = relation_rng(empty_set)],extension(2,bind([[_72761, _72806], [empty_set, relation_rng(empty_set)]]))).
% 2.16/2.43 cnf('1.2.1',plain,[-(empty_set = relation_rng(empty_set)), relation(empty_set), -(in(27 ^ [empty_set, empty_set], empty_set)), -(in(ordered_pair(28 ^ [empty_set, empty_set], 27 ^ [empty_set, empty_set]), empty_set))],extension(5,bind([[_100768, _100659], [empty_set, empty_set]]))).
% 2.16/2.43 cnf('1.2.1.1',plain,[-(relation(empty_set)), empty(empty_set)],extension(3,bind([[_89864], [empty_set]]))).
% 2.16/2.43 cnf('1.2.1.1.1',plain,[-(empty(empty_set))],extension(6)).
% 2.16/2.43 cnf('1.2.1.2',plain,[in(27 ^ [empty_set, empty_set], empty_set), empty(empty_set)],extension(7,bind([[_152701, _152747], [27 ^ [empty_set, empty_set], empty_set]]))).
% 2.16/2.43 cnf('1.2.1.2.1',plain,[-(empty(empty_set))],extension(6)).
% 2.16/2.43 cnf('1.2.1.3',plain,[in(ordered_pair(28 ^ [empty_set, empty_set], 27 ^ [empty_set, empty_set]), empty_set), empty(empty_set)],extension(7,bind([[_152701, _152747], [ordered_pair(28 ^ [empty_set, empty_set], 27 ^ [empty_set, empty_set]), empty_set]]))).
% 2.16/2.43 cnf('1.2.1.3.1',plain,[-(empty(empty_set))],extension(6)).
% 2.16/2.43 %-----------------------------------------------------
% 2.16/2.44
% 2.16/2.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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