TSTP Solution File: SWC001+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 21:08:46 EDT 2022
% Result : Theorem 73.85s 71.77s
% Output : Proof 73.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n009.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 12 08:29:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 73.85/71.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.85/71.78 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.85/71.78
% 73.85/71.78 %-----------------------------------------------------
% 73.85/71.78 fof(co1, conjecture, ! [_181236] : (ssList(_181236) => ! [_181251] : (ssList(_181251) => ! [_181266] : (ssList(_181266) => ! [_181281] : (ssList(_181281) => (! _181251) = _181281 | (! _181236) = _181266 | ~ duplicatefreeP(_181266) | ? [_181321] : (ssItem(_181321) & (~ memberP(_181281, _181321) & memberP(_181266, _181321) | ~ memberP(_181266, _181321) & memberP(_181281, _181321))) | ! [_181380] : (ssItem(_181380) => ~ memberP(_181251, _181380) & ~ memberP(_181236, _181380) | memberP(_181251, _181380) & memberP(_181236, _181380)) & duplicatefreeP(_181236))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 73.85/71.78 fof(ax13, axiom, ! [_182202] : (ssList(_182202) => (duplicatefreeP(_182202) <=> ! [_182224] : (ssItem(_182224) => ! [_182239] : (ssItem(_182239) => ! [_182254] : (ssList(_182254) => ! [_182269] : (ssList(_182269) => ! [_182284] : (ssList(_182284) => app(app(_182254, cons(_182224, _182269)), cons(_182239, _182284)) = _182202 => (! _182224) = _182239))))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax13)).
% 73.85/71.78 fof(ax19, axiom, ! [_182717] : (ssList(_182717) => ! [_182732] : (ssList(_182732) => ! [_182747] : (ssItem(_182747) => ! [_182762] : (ssItem(_182762) => cons(_182747, _182717) = cons(_182762, _182732) => _182747 = _182762 & _182732 = _182717)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax19)).
% 73.85/71.78
% 73.85/71.78 cnf(1, plain, [-(ssList(48 ^ []))], clausify(co1)).
% 73.85/71.78 cnf(2, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 73.85/71.78 cnf(3, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 73.85/71.78 cnf(4, plain, [-(duplicatefreeP(50 ^ []))], clausify(co1)).
% 73.85/71.78 cnf(5, plain, [ssItem(_135996), -(memberP(51 ^ [], _135996)), memberP(50 ^ [], _135996)], clausify(co1)).
% 73.85/71.78 cnf(6, plain, [ssItem(_135996), -(memberP(50 ^ [], _135996)), memberP(51 ^ [], _135996)], clausify(co1)).
% 73.85/71.78 cnf(7, plain, [duplicatefreeP(48 ^ []), -(ssItem(52 ^ []))], clausify(co1)).
% 73.85/71.78 cnf(8, plain, [duplicatefreeP(48 ^ []), -(memberP(49 ^ [], 52 ^ [])), -(memberP(48 ^ [], 52 ^ []))], clausify(co1)).
% 73.85/71.78 cnf(9, plain, [duplicatefreeP(48 ^ []), memberP(49 ^ [], 52 ^ []), memberP(48 ^ [], 52 ^ [])], clausify(co1)).
% 73.85/71.78 cnf(10, plain, [-(cons(_66770, _66903) = cons(_66837, _66968)), _66770 = _66837, _66903 = _66968], theory(equality)).
% 73.85/71.78 cnf(11, plain, [-(_56057 = _56057)], theory(equality)).
% 73.85/71.78 cnf(12, plain, [_56210 = _56255, -(_56255 = _56210)], theory(equality)).
% 73.85/71.78 cnf(13, plain, [-(_56489 = _56600), _56489 = _56545, _56545 = _56600], theory(equality)).
% 73.85/71.78 cnf(14, plain, [-(duplicatefreeP(_57343)), _57294 = _57343, duplicatefreeP(_57294)], theory(equality)).
% 73.85/71.78 cnf(15, plain, [-(memberP(_61139, _61270)), memberP(_61072, _61205), _61072 = _61139, _61205 = _61270], theory(equality)).
% 73.85/71.78 cnf(16, plain, [ssList(_79179), -(duplicatefreeP(_79179)), -(ssItem(35 ^ [_79179]))], clausify(ax13)).
% 73.85/71.78 cnf(17, plain, [ssList(_82954), ssList(_83079), ssItem(_83198), ssItem(_83311), cons(_83198, _82954) = cons(_83311, _83079), -(_83079 = _82954)], clausify(ax19)).
% 73.85/71.78
% 73.85/71.78 cnf('1',plain,[duplicatefreeP(48 ^ []), memberP(49 ^ [], 52 ^ []), memberP(48 ^ [], 52 ^ [])],start(9)).
% 73.85/71.78 cnf('1.1',plain,[-(duplicatefreeP(48 ^ [])), ssList(48 ^ []), -(ssItem(35 ^ [48 ^ []]))],extension(16,bind([[_79179], [48 ^ []]]))).
% 73.85/71.78 cnf('1.1.1',plain,[-(ssList(48 ^ []))],extension(1)).
% 73.85/71.78 cnf('1.1.2',plain,[ssItem(35 ^ [48 ^ []]), ssList(48 ^ []), ssList(48 ^ []), ssItem(35 ^ [48 ^ []]), cons(35 ^ [48 ^ []], 48 ^ []) = cons(35 ^ [48 ^ []], 48 ^ []), -(48 ^ [] = 48 ^ [])],extension(17,bind([[_83198, _83311, _83079, _82954], [35 ^ [48 ^ []], 35 ^ [48 ^ []], 48 ^ [], 48 ^ []]]))).
% 73.85/71.78 cnf('1.1.2.1',plain,[-(ssList(48 ^ []))],extension(1)).
% 73.85/71.78 cnf('1.1.2.2',plain,[-(ssList(48 ^ []))],extension(1)).
% 73.85/71.78 cnf('1.1.2.3',plain,[-(ssItem(35 ^ [48 ^ []]))],reduction('1.1')).
% 73.85/71.78 cnf('1.1.2.4',plain,[-(cons(35 ^ [48 ^ []], 48 ^ []) = cons(35 ^ [48 ^ []], 48 ^ [])), 35 ^ [48 ^ []] = 35 ^ [48 ^ []], 48 ^ [] = 48 ^ []],extension(10,bind([[_66770, _66837, _66903, _66968], [35 ^ [48 ^ []], 35 ^ [48 ^ []], 48 ^ [], 48 ^ []]]))).
% 73.85/71.78 cnf('1.1.2.4.1',plain,[-(35 ^ [48 ^ []] = 35 ^ [48 ^ []])],extension(11,bind([[_56057], [35 ^ [48 ^ []]]]))).
% 73.85/71.78 cnf('1.1.2.4.2',plain,[-(48 ^ [] = 48 ^ [])],extension(11,bind([[_56057], [48 ^ []]]))).
% 73.85/71.78 cnf('1.1.2.5',plain,[48 ^ [] = 48 ^ [], -(50 ^ [] = 48 ^ []), 50 ^ [] = 48 ^ []],extension(13,bind([[_56600, _56489, _56545], [48 ^ [], 50 ^ [], 48 ^ []]]))).
% 73.85/71.78 cnf('1.1.2.5.1',plain,[50 ^ [] = 48 ^ [], -(duplicatefreeP(48 ^ [])), duplicatefreeP(50 ^ [])],extension(14,bind([[_57343, _57294], [48 ^ [], 50 ^ []]]))).
% 73.85/71.78 cnf('1.1.2.5.1.1',plain,[duplicatefreeP(48 ^ [])],reduction('1')).
% 73.85/71.78 cnf('1.1.2.5.1.2',plain,[-(duplicatefreeP(50 ^ []))],extension(4)).
% 73.85/71.78 cnf('1.1.2.5.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(12,bind([[_56210, _56255], [48 ^ [], 50 ^ []]]))).
% 73.85/71.78 cnf('1.1.2.5.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(3)).
% 73.85/71.78 cnf('1.2',plain,[-(memberP(49 ^ [], 52 ^ [])), memberP(51 ^ [], 52 ^ []), 51 ^ [] = 49 ^ [], 52 ^ [] = 52 ^ []],extension(15,bind([[_61072, _61139, _61205, _61270], [51 ^ [], 49 ^ [], 52 ^ [], 52 ^ []]]))).
% 73.85/71.78 cnf('1.2.1',plain,[-(memberP(51 ^ [], 52 ^ [])), ssItem(52 ^ []), memberP(50 ^ [], 52 ^ [])],extension(5,bind([[_135996], [52 ^ []]]))).
% 73.85/71.78 cnf('1.2.1.1',plain,[-(ssItem(52 ^ [])), duplicatefreeP(48 ^ [])],extension(7)).
% 73.85/71.78 cnf('1.2.1.1.1',plain,[-(duplicatefreeP(48 ^ []))],lemmata('1')).
% 73.85/71.78 cnf('1.2.1.2',plain,[-(memberP(50 ^ [], 52 ^ [])), memberP(48 ^ [], 52 ^ []), 48 ^ [] = 50 ^ [], 52 ^ [] = 52 ^ []],extension(15,bind([[_61072, _61139, _61205, _61270], [48 ^ [], 50 ^ [], 52 ^ [], 52 ^ []]]))).
% 73.85/71.78 cnf('1.2.1.2.1',plain,[-(memberP(48 ^ [], 52 ^ [])), duplicatefreeP(48 ^ []), -(memberP(49 ^ [], 52 ^ []))],extension(8)).
% 73.85/71.78 cnf('1.2.1.2.1.1',plain,[-(duplicatefreeP(48 ^ []))],lemmata('1')).
% 73.85/71.78 cnf('1.2.1.2.1.2',plain,[memberP(49 ^ [], 52 ^ [])],reduction('1')).
% 73.85/71.78 cnf('1.2.1.2.2',plain,[-(48 ^ [] = 50 ^ [])],extension(3)).
% 73.85/71.78 cnf('1.2.1.2.3',plain,[-(52 ^ [] = 52 ^ [])],extension(11,bind([[_56057], [52 ^ []]]))).
% 73.85/71.78 cnf('1.2.2',plain,[-(51 ^ [] = 49 ^ []), 49 ^ [] = 51 ^ []],extension(12,bind([[_56210, _56255], [49 ^ [], 51 ^ []]]))).
% 73.85/71.78 cnf('1.2.2.1',plain,[-(49 ^ [] = 51 ^ [])],extension(2)).
% 73.85/71.78 cnf('1.2.3',plain,[-(52 ^ [] = 52 ^ [])],extension(11,bind([[_56057], [52 ^ []]]))).
% 73.85/71.78 cnf('1.3',plain,[-(memberP(48 ^ [], 52 ^ [])), memberP(50 ^ [], 52 ^ []), 50 ^ [] = 48 ^ [], 52 ^ [] = 52 ^ []],extension(15,bind([[_61072, _61139, _61205, _61270], [50 ^ [], 48 ^ [], 52 ^ [], 52 ^ []]]))).
% 73.85/71.78 cnf('1.3.1',plain,[-(memberP(50 ^ [], 52 ^ [])), ssItem(52 ^ []), memberP(51 ^ [], 52 ^ [])],extension(6,bind([[_135996], [52 ^ []]]))).
% 73.85/71.78 cnf('1.3.1.1',plain,[-(ssItem(52 ^ [])), duplicatefreeP(48 ^ [])],extension(7)).
% 73.85/71.78 cnf('1.3.1.1.1',plain,[-(duplicatefreeP(48 ^ []))],lemmata('1')).
% 73.85/71.78 cnf('1.3.1.2',plain,[-(memberP(51 ^ [], 52 ^ [])), memberP(49 ^ [], 52 ^ []), 49 ^ [] = 51 ^ [], 52 ^ [] = 52 ^ []],extension(15,bind([[_61072, _61139, _61205, _61270], [49 ^ [], 51 ^ [], 52 ^ [], 52 ^ []]]))).
% 73.85/71.78 cnf('1.3.1.2.1',plain,[-(memberP(49 ^ [], 52 ^ [])), duplicatefreeP(48 ^ []), -(memberP(48 ^ [], 52 ^ []))],extension(8)).
% 73.85/71.78 cnf('1.3.1.2.1.1',plain,[-(duplicatefreeP(48 ^ []))],lemmata('1')).
% 73.85/71.78 cnf('1.3.1.2.1.2',plain,[memberP(48 ^ [], 52 ^ [])],reduction('1')).
% 73.85/71.78 cnf('1.3.1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(2)).
% 73.85/71.78 cnf('1.3.1.2.3',plain,[-(52 ^ [] = 52 ^ [])],extension(11,bind([[_56057], [52 ^ []]]))).
% 73.85/71.78 cnf('1.3.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(12,bind([[_56210, _56255], [48 ^ [], 50 ^ []]]))).
% 73.85/71.78 cnf('1.3.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(3)).
% 73.85/71.78 cnf('1.3.3',plain,[-(52 ^ [] = 52 ^ [])],extension(11,bind([[_56057], [52 ^ []]]))).
% 73.85/71.78 %-----------------------------------------------------
% 73.85/71.79
% 73.85/71.79 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------