TSTP Solution File: SEU284+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 12:01:41 EDT 2022
% Result : Theorem 142.99s 138.45s
% Output : Proof 142.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 02:46:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 142.99/138.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 142.99/138.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 142.99/138.46
% 142.99/138.46 %-----------------------------------------------------
% 142.99/138.46 fof(s3_funct_1__e16_22__wellord2, conjecture, ! [_40482] : ? [_40490] : (relation(_40490) & function(_40490) & relation_dom(_40490) = _40482 & ! [_40522] : (in(_40522, _40482) => apply(_40490, _40522) = singleton(_40522))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s3_funct_1__e16_22__wellord2)).
% 142.99/138.46 fof(s2_funct_1__e16_22__wellord2__1, axiom, ! [_40786] : (! [_40794, _40797, _40800] : (in(_40794, _40786) & _40797 = singleton(_40794) & _40800 = singleton(_40794) => _40797 = _40800) & ! [_40794] : ~ (in(_40794, _40786) & ! [_40797] : (! _40797) = singleton(_40794)) => ? [_40794] : (relation(_40794) & function(_40794) & relation_dom(_40794) = _40786 & ! [_40797] : (in(_40797, _40786) => apply(_40794, _40797) = singleton(_40797)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46
% 142.99/138.46 cnf(1, plain, [-(19 ^ [_26634]), apply(_26634, 18 ^ [_26634]) = singleton(18 ^ [_26634])], clausify(s3_funct_1__e16_22__wellord2)).
% 142.99/138.46 cnf(2, plain, [-(19 ^ [_26634]), -(in(18 ^ [_26634], 17 ^ []))], clausify(s3_funct_1__e16_22__wellord2)).
% 142.99/138.46 cnf(3, plain, [-(9 ^ [_16393]), in(_25176, _16393), -(apply(8 ^ [_16393], _25176) = singleton(_25176))], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(4, plain, [-(9 ^ [_16393]), -(relation_dom(8 ^ [_16393]) = _16393)], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(5, plain, [-(9 ^ [_16393]), -(function(8 ^ [_16393]))], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(6, plain, [-(9 ^ [_16393]), -(relation(8 ^ [_16393]))], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(7, plain, [-(7 ^ [_16393]), _25064 = singleton(6 ^ [_16393])], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(8, plain, [-(5 ^ [_16393]), 3 ^ [_16393] = 4 ^ [_16393]], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(9, plain, [-(5 ^ [_16393]), -(4 ^ [_16393] = singleton(2 ^ [_16393]))], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(10, plain, [-(5 ^ [_16393]), -(3 ^ [_16393] = singleton(2 ^ [_16393]))], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46 cnf(11, plain, [relation(_26634), function(_26634), relation_dom(_26634) = 17 ^ [], 19 ^ [_26634]], clausify(s3_funct_1__e16_22__wellord2)).
% 142.99/138.46 cnf(12, plain, [_15058 = _15107, -(singleton(_15058) = singleton(_15107))], theory(equality)).
% 142.99/138.46 cnf(13, plain, [-(_10563 = _10563)], theory(equality)).
% 142.99/138.46 cnf(14, plain, [_10716 = _10761, -(_10761 = _10716)], theory(equality)).
% 142.99/138.46 cnf(15, plain, [-(_10995 = _11106), _10995 = _11051, _11051 = _11106], theory(equality)).
% 142.99/138.46 cnf(16, plain, [7 ^ [_16393], 5 ^ [_16393], 9 ^ [_16393]], clausify(s2_funct_1__e16_22__wellord2__1)).
% 142.99/138.46
% 142.99/138.46 cnf('1',plain,[7 ^ [17 ^ []], 5 ^ [17 ^ []], 9 ^ [17 ^ []]],start(16,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.1',plain,[-(7 ^ [17 ^ []]), singleton(6 ^ [17 ^ []]) = singleton(6 ^ [17 ^ []])],extension(7,bind([[_25064, _16393], [singleton(6 ^ [17 ^ []]), 17 ^ []]]))).
% 142.99/138.46 cnf('1.1.1',plain,[-(singleton(6 ^ [17 ^ []]) = singleton(6 ^ [17 ^ []])), 6 ^ [17 ^ []] = 6 ^ [17 ^ []]],extension(12,bind([[_15058, _15107], [6 ^ [17 ^ []], 6 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.1.1.1',plain,[-(6 ^ [17 ^ []] = 6 ^ [17 ^ []])],extension(13,bind([[_10563], [6 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.2',plain,[-(5 ^ [17 ^ []]), 3 ^ [17 ^ []] = 4 ^ [17 ^ []]],extension(8,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.2.1',plain,[-(3 ^ [17 ^ []] = 4 ^ [17 ^ []]), 3 ^ [17 ^ []] = singleton(2 ^ [17 ^ []]), singleton(2 ^ [17 ^ []]) = 4 ^ [17 ^ []]],extension(15,bind([[_10995, _11051, _11106], [3 ^ [17 ^ []], singleton(2 ^ [17 ^ []]), 4 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.2.1.1',plain,[-(3 ^ [17 ^ []] = singleton(2 ^ [17 ^ []])), -(5 ^ [17 ^ []])],extension(10,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.2.1.1.1',plain,[5 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.2.1.2',plain,[-(singleton(2 ^ [17 ^ []]) = 4 ^ [17 ^ []]), 4 ^ [17 ^ []] = singleton(2 ^ [17 ^ []])],extension(14,bind([[_10716, _10761], [4 ^ [17 ^ []], singleton(2 ^ [17 ^ []])]]))).
% 142.99/138.46 cnf('1.2.1.2.1',plain,[-(4 ^ [17 ^ []] = singleton(2 ^ [17 ^ []])), -(5 ^ [17 ^ []])],extension(9,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.2.1.2.1.1',plain,[5 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.3',plain,[-(9 ^ [17 ^ []]), in(18 ^ [8 ^ [17 ^ []]], 17 ^ []), -(apply(8 ^ [17 ^ []], 18 ^ [8 ^ [17 ^ []]]) = singleton(18 ^ [8 ^ [17 ^ []]]))],extension(3,bind([[_16393, _25176], [17 ^ [], 18 ^ [8 ^ [17 ^ []]]]]))).
% 142.99/138.46 cnf('1.3.1',plain,[-(in(18 ^ [8 ^ [17 ^ []]], 17 ^ [])), -(19 ^ [8 ^ [17 ^ []]])],extension(2,bind([[_26634], [8 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.3.1.1',plain,[19 ^ [8 ^ [17 ^ []]], relation(8 ^ [17 ^ []]), function(8 ^ [17 ^ []]), relation_dom(8 ^ [17 ^ []]) = 17 ^ []],extension(11,bind([[_26634], [8 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.3.1.1.1',plain,[-(relation(8 ^ [17 ^ []])), -(9 ^ [17 ^ []])],extension(6,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.3.1.1.1.1',plain,[9 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.3.1.1.2',plain,[-(function(8 ^ [17 ^ []])), -(9 ^ [17 ^ []])],extension(5,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.3.1.1.2.1',plain,[9 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.3.1.1.3',plain,[-(relation_dom(8 ^ [17 ^ []]) = 17 ^ []), -(9 ^ [17 ^ []])],extension(4,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.3.1.1.3.1',plain,[9 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.3.2',plain,[apply(8 ^ [17 ^ []], 18 ^ [8 ^ [17 ^ []]]) = singleton(18 ^ [8 ^ [17 ^ []]]), -(19 ^ [8 ^ [17 ^ []]])],extension(1,bind([[_26634], [8 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.3.2.1',plain,[19 ^ [8 ^ [17 ^ []]], relation(8 ^ [17 ^ []]), function(8 ^ [17 ^ []]), relation_dom(8 ^ [17 ^ []]) = 17 ^ []],extension(11,bind([[_26634], [8 ^ [17 ^ []]]]))).
% 142.99/138.46 cnf('1.3.2.1.1',plain,[-(relation(8 ^ [17 ^ []])), -(9 ^ [17 ^ []])],extension(6,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.3.2.1.1.1',plain,[9 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.3.2.1.2',plain,[-(function(8 ^ [17 ^ []])), -(9 ^ [17 ^ []])],extension(5,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.3.2.1.2.1',plain,[9 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 cnf('1.3.2.1.3',plain,[-(relation_dom(8 ^ [17 ^ []]) = 17 ^ []), -(9 ^ [17 ^ []])],extension(4,bind([[_16393], [17 ^ []]]))).
% 142.99/138.46 cnf('1.3.2.1.3.1',plain,[9 ^ [17 ^ []]],reduction('1')).
% 142.99/138.46 %-----------------------------------------------------
% 142.99/138.47
% 142.99/138.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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