%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n014.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 12:00:32 EDT 2022
% Result : Theorem 4.33s 4.51s
% Output : Proof 4.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU154+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n014.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 : Mon Jun 20 03:30:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.33/4.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.33/4.52 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.33/4.52
% 4.33/4.52 %-----------------------------------------------------
% 4.33/4.52 fof(l28_zfmisc_1, conjecture, ! [_84932, _84935] : (~ in(_84932, _84935) => disjoint(singleton(_84932), _84935)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 4.33/4.52 fof(l2_zfmisc_1, lemma, ! [_85178, _85181] : (subset(singleton(_85178), _85181) <=> in(_85178, _85181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l2_zfmisc_1)).
% 4.33/4.52 fof(l32_xboole_1, lemma, ! [_85334, _85337] : (set_difference(_85334, _85337) = empty_set <=> subset(_85334, _85337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l32_xboole_1)).
% 4.33/4.52 fof(l4_zfmisc_1, lemma, ! [_85496, _85499] : (subset(_85496, singleton(_85499)) <=> _85496 = empty_set | _85496 = singleton(_85499)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l4_zfmisc_1)).
% 4.33/4.52 fof(t36_xboole_1, lemma, ! [_85698, _85701] : subset(set_difference(_85698, _85701), _85698), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t36_xboole_1)).
% 4.33/4.52 fof(t83_xboole_1, lemma, ! [_85854, _85857] : (disjoint(_85854, _85857) <=> set_difference(_85854, _85857) = _85854), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t83_xboole_1)).
% 4.33/4.52
% 4.33/4.52 cnf(1, plain, [in(14 ^ [], 15 ^ [])], clausify(l28_zfmisc_1)).
% 4.33/4.52 cnf(2, plain, [disjoint(singleton(14 ^ []), 15 ^ [])], clausify(l28_zfmisc_1)).
% 4.33/4.52 cnf(3, plain, [subset(singleton(_45358), _45405), -(in(_45358, _45405))], clausify(l2_zfmisc_1)).
% 4.33/4.52 cnf(4, plain, [set_difference(_45688, _45736) = empty_set, -(subset(_45688, _45736))], clausify(l32_xboole_1)).
% 4.33/4.52 cnf(5, plain, [subset(_46576, singleton(_46631)), -(_46576 = empty_set), -(_46576 = singleton(_46631))], clausify(l4_zfmisc_1)).
% 4.33/4.52 cnf(6, plain, [-(subset(set_difference(_52702, _52744), _52702))], clausify(t36_xboole_1)).
% 4.33/4.52 cnf(7, plain, [-(disjoint(_59286, _59334)), set_difference(_59286, _59334) = _59286], clausify(t83_xboole_1)).
% 4.33/4.52
% 4.33/4.52 cnf('1',plain,[in(14 ^ [], 15 ^ [])],start(1)).
% 4.33/4.52 cnf('1.1',plain,[-(in(14 ^ [], 15 ^ [])), subset(singleton(14 ^ []), 15 ^ [])],extension(3,bind([[_45358, _45405], [14 ^ [], 15 ^ []]]))).
% 4.33/4.52 cnf('1.1.1',plain,[-(subset(singleton(14 ^ []), 15 ^ [])), set_difference(singleton(14 ^ []), 15 ^ []) = empty_set],extension(4,bind([[_45688, _45736], [singleton(14 ^ []), 15 ^ []]]))).
% 4.33/4.52 cnf('1.1.1.1',plain,[-(set_difference(singleton(14 ^ []), 15 ^ []) = empty_set), subset(set_difference(singleton(14 ^ []), 15 ^ []), singleton(14 ^ [])), -(set_difference(singleton(14 ^ []), 15 ^ []) = singleton(14 ^ []))],extension(5,bind([[_46576, _46631], [set_difference(singleton(14 ^ []), 15 ^ []), 14 ^ []]]))).
% 4.33/4.52 cnf('1.1.1.1.1',plain,[-(subset(set_difference(singleton(14 ^ []), 15 ^ []), singleton(14 ^ [])))],extension(6,bind([[_52744, _52702], [15 ^ [], singleton(14 ^ [])]]))).
% 4.33/4.52 cnf('1.1.1.1.2',plain,[set_difference(singleton(14 ^ []), 15 ^ []) = singleton(14 ^ []), -(disjoint(singleton(14 ^ []), 15 ^ []))],extension(7,bind([[_59286, _59334], [singleton(14 ^ []), 15 ^ []]]))).
% 4.33/4.52 cnf('1.1.1.1.2.1',plain,[disjoint(singleton(14 ^ []), 15 ^ [])],extension(2)).
% 4.33/4.52 %-----------------------------------------------------
% 4.33/4.53
% 4.33/4.53 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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