TSTP Solution File: SEU230+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 12:01:15 EDT 2022
% Result : Theorem 4.55s 5.53s
% Output : Proof 4.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU230+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 20 11:55:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.55/5.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.55/5.54 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.55/5.54
% 4.55/5.54 %-----------------------------------------------------
% 4.55/5.54 fof(t10_ordinal1, conjecture, ! [_376683] : in(_376683, succ(_376683)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t10_ordinal1)).
% 4.55/5.54 fof(antisymmetry_r2_hidden, axiom, ! [_376865, _376868] : (in(_376865, _376868) => ~ in(_376868, _376865)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 4.55/5.54 fof(d1_ordinal1, axiom, ! [_377080] : succ(_377080) = set_union2(_377080, singleton(_377080)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_ordinal1)).
% 4.55/5.54 fof(d1_setfam_1, axiom, ! [_377222, _377225] : (((! _377222) = empty_set => (_377225 = set_meet(_377222) <=> ! [_377251] : (in(_377251, _377225) <=> ! [_377269] : (in(_377269, _377222) => in(_377251, _377269))))) & (_377222 = empty_set => (_377225 = set_meet(_377222) <=> _377225 = empty_set))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_setfam_1)).
% 4.55/5.54 fof(d2_xboole_0, axiom, ! [_377631, _377634, _377637] : (_377637 = set_union2(_377631, _377634) <=> ! [_377658] : (in(_377658, _377637) <=> in(_377658, _377631) | in(_377658, _377634))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 4.55/5.54 fof(l1_zfmisc_1, lemma, ! [_378028] : (! singleton(_378028)) = empty_set, file('/export/starexec/sandbox/benchmark/theBenchmark.p', l1_zfmisc_1)).
% 4.55/5.54 fof(l28_zfmisc_1, lemma, ! [_378149, _378152] : (~ in(_378149, _378152) => disjoint(singleton(_378149), _378152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 4.55/5.54 fof(t3_xboole_0, lemma, ! [_378448, _378451] : (~ (~ disjoint(_378448, _378451) & ! [_378473] : ~ (in(_378473, _378448) & in(_378473, _378451))) & ~ (? [_378473] : (in(_378473, _378448) & in(_378473, _378451)) & disjoint(_378448, _378451))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_xboole_0)).
% 4.55/5.54
% 4.55/5.54 cnf(1, plain, [in(90 ^ [], succ(90 ^ []))], clausify(t10_ordinal1)).
% 4.55/5.54 cnf(2, plain, [-(_126135 = _126135)], theory(equality)).
% 4.55/5.54 cnf(3, plain, [-(disjoint(_127734, _127865)), disjoint(_127667, _127800), _127667 = _127734, _127800 = _127865], theory(equality)).
% 4.55/5.54 cnf(4, plain, [in(_149030, _149077), in(_149077, _149030)], clausify(antisymmetry_r2_hidden)).
% 4.55/5.54 cnf(5, plain, [-(succ(_159390) = set_union2(_159390, singleton(_159390)))], clausify(d1_ordinal1)).
% 4.55/5.54 cnf(6, plain, [-(_160228 = empty_set), _160325 = set_meet(_160228), -(in(_160581, _160325)), -(in(21 ^ [_160581, _160325, _160228], _160228))], clausify(d1_setfam_1)).
% 4.55/5.54 cnf(7, plain, [_164728 = set_union2(_164589, _164659), -(in(_164892, _164728)), in(_164892, _164659)], clausify(d2_xboole_0)).
% 4.55/5.54 cnf(8, plain, [singleton(_196303) = empty_set], clausify(l1_zfmisc_1)).
% 4.55/5.54 cnf(9, plain, [-(in(_197236, _197285)), -(disjoint(singleton(_197236), _197285))], clausify(l28_zfmisc_1)).
% 4.55/5.54 cnf(10, plain, [disjoint(_234327, _234414), in(_234831, _234327), in(_234831, _234414)], clausify(t3_xboole_0)).
% 4.55/5.54
% 4.55/5.54 cnf('1',plain,[disjoint(singleton(90 ^ []), succ(90 ^ [])), in(21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], singleton(90 ^ [])), in(21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], succ(90 ^ []))],start(10,bind([[_234327, _234831, _234414], [singleton(90 ^ []), 21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], succ(90 ^ [])]]))).
% 4.55/5.54 cnf('1.1',plain,[-(disjoint(singleton(90 ^ []), succ(90 ^ []))), disjoint(singleton(90 ^ []), succ(90 ^ [])), singleton(90 ^ []) = singleton(90 ^ []), succ(90 ^ []) = succ(90 ^ [])],extension(3,bind([[_127667, _127734, _127800, _127865], [singleton(90 ^ []), singleton(90 ^ []), succ(90 ^ []), succ(90 ^ [])]]))).
% 4.55/5.54 cnf('1.1.1',plain,[-(disjoint(singleton(90 ^ []), succ(90 ^ []))), -(in(90 ^ [], succ(90 ^ [])))],extension(9,bind([[_197236, _197285], [90 ^ [], succ(90 ^ [])]]))).
% 4.55/5.54 cnf('1.1.1.1',plain,[in(90 ^ [], succ(90 ^ []))],extension(1)).
% 4.55/5.54 cnf('1.1.2',plain,[-(singleton(90 ^ []) = singleton(90 ^ []))],extension(2,bind([[_126135], [singleton(90 ^ [])]]))).
% 4.55/5.54 cnf('1.1.3',plain,[-(succ(90 ^ []) = succ(90 ^ []))],extension(2,bind([[_126135], [succ(90 ^ [])]]))).
% 4.55/5.54 cnf('1.2',plain,[-(in(21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], singleton(90 ^ []))), -(singleton(90 ^ []) = empty_set), set_meet(singleton(90 ^ [])) = set_meet(singleton(90 ^ [])), -(in(set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ []))))],extension(6,bind([[_160228, _160581, _160325], [singleton(90 ^ []), set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ []))]]))).
% 4.55/5.54 cnf('1.2.1',plain,[singleton(90 ^ []) = empty_set],extension(8,bind([[_196303], [90 ^ []]]))).
% 4.55/5.54 cnf('1.2.2',plain,[-(set_meet(singleton(90 ^ [])) = set_meet(singleton(90 ^ [])))],extension(2,bind([[_126135], [set_meet(singleton(90 ^ []))]]))).
% 4.55/5.54 cnf('1.2.3',plain,[in(set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ []))), in(set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])))],extension(4,bind([[_149077, _149030], [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ []))]]))).
% 4.55/5.54 cnf('1.2.3.1',plain,[-(in(set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ []))))],reduction('1.2')).
% 4.55/5.54 cnf('1.3',plain,[-(in(21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], succ(90 ^ []))), succ(90 ^ []) = set_union2(90 ^ [], singleton(90 ^ [])), in(21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], singleton(90 ^ []))],extension(7,bind([[_164728, _164589, _164892, _164659], [succ(90 ^ []), 90 ^ [], 21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], singleton(90 ^ [])]]))).
% 4.55/5.54 cnf('1.3.1',plain,[-(succ(90 ^ []) = set_union2(90 ^ [], singleton(90 ^ [])))],extension(5,bind([[_159390], [90 ^ []]]))).
% 4.55/5.54 cnf('1.3.2',plain,[-(in(21 ^ [set_meet(singleton(90 ^ [])), set_meet(singleton(90 ^ [])), singleton(90 ^ [])], singleton(90 ^ [])))],lemmata('1')).
% 4.55/5.54 %-----------------------------------------------------
% 4.65/5.54
% 4.65/5.55 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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