%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% 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 12:01:18 EDT 2022

% Result   : Theorem 80.84s 78.28s
% Output   : Proof 80.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.13/0.35  % Computer : n009.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 : Sat Jun 18 23:46:07 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 80.84/78.28  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.84/78.29  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.84/78.29  
% 80.84/78.29  %-----------------------------------------------------
% 80.84/78.29  fof(t32_ordinal1, conjecture, ! [_67961, _67964] : (ordinal(_67964) => ~ (subset(_67961, _67964) & (! _67961) = empty_set & ! [_67999] : (ordinal(_67999) => ~ (in(_67999, _67961) & ! [_68026] : (ordinal(_68026) => in(_68026, _67961) => ordinal_subset(_67999, _68026)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t32_ordinal1)).
% 80.84/78.29  fof(antisymmetry_r2_hidden, axiom, ! [_68436, _68439] : (in(_68436, _68439) => ~ in(_68439, _68436)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 80.84/78.29  fof(cc1_ordinal1, axiom, ! [_68590] : (ordinal(_68590) => epsilon_transitive(_68590) & epsilon_connected(_68590)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_ordinal1)).
% 80.84/78.29  fof(connectedness_r1_ordinal1, axiom, ! [_68739, _68742] : (ordinal(_68739) & ordinal(_68742) => ordinal_subset(_68739, _68742) | ordinal_subset(_68742, _68739)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 80.84/78.29  fof(d2_ordinal1, axiom, ! [_68929] : (epsilon_transitive(_68929) <=> ! [_68944] : (in(_68944, _68929) => subset(_68944, _68929))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_ordinal1)).
% 80.84/78.29  fof(existence_m1_subset_1, axiom, ! [_69115] : ? [_69123] : element(_69123, _69115), file('/export/starexec/sandbox/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 80.84/78.29  fof(redefinition_r1_ordinal1, axiom, ! [_69303, _69306] : (ordinal(_69303) & ordinal(_69306) => (ordinal_subset(_69303, _69306) <=> subset(_69303, _69306))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 80.84/78.29  fof(t23_ordinal1, axiom, ! [_69494, _69497] : (ordinal(_69497) => in(_69494, _69497) => ordinal(_69494)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t23_ordinal1)).
% 80.84/78.29  fof(t24_ordinal1, axiom, ! [_69654] : (ordinal(_69654) => ! [_69669] : (ordinal(_69669) => ~ (~ in(_69654, _69669) & (! _69654) = _69669 & ~ in(_69669, _69654)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_ordinal1)).
% 80.84/78.29  fof(t2_subset, axiom, ! [_69913, _69916] : (element(_69913, _69916) => empty(_69916) | in(_69913, _69916)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 80.84/78.29  fof(t3_subset, axiom, ! [_70081, _70084] : (element(_70081, powerset(_70084)) <=> subset(_70081, _70084)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 80.84/78.29  fof(t4_subset, axiom, ! [_70236, _70239, _70242] : (in(_70236, _70239) & element(_70239, powerset(_70242)) => element(_70236, _70242)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_subset)).
% 80.84/78.29  fof(t5_subset, axiom, ! [_70430, _70433, _70436] : ~ (in(_70430, _70433) & element(_70433, powerset(_70436)) & empty(_70436)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_subset)).
% 80.84/78.29  fof(t6_boole, axiom, ! [_70624] : (empty(_70624) => _70624 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t6_boole)).
% 80.84/78.29  fof(t7_tarski, axiom, ! [_70749, _70752] : ~ (in(_70749, _70752) & ! [_70772] : ~ (in(_70772, _70752) & ! [_70792] : ~ (in(_70792, _70752) & in(_70792, _70772)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_tarski)).
% 80.84/78.29  
% 80.84/78.29  cnf(1, plain, [-(ordinal(18 ^ []))], clausify(t32_ordinal1)).
% 80.84/78.29  cnf(2, plain, [-(subset(17 ^ [], 18 ^ []))], clausify(t32_ordinal1)).
% 80.84/78.29  cnf(3, plain, [17 ^ [] = empty_set], clausify(t32_ordinal1)).
% 80.84/78.29  cnf(4, plain, [ordinal(_44351), in(_44351, 17 ^ []), -(ordinal(19 ^ [_44351]))], clausify(t32_ordinal1)).
% 80.84/78.29  cnf(5, plain, [ordinal(_44351), in(_44351, 17 ^ []), -(in(19 ^ [_44351], 17 ^ []))], clausify(t32_ordinal1)).
% 80.84/78.29  cnf(6, plain, [ordinal(_44351), in(_44351, 17 ^ []), ordinal_subset(_44351, 19 ^ [_44351])], clausify(t32_ordinal1)).
% 80.84/78.29  cnf(7, plain, [-(_18138 = _18138)], theory(equality)).
% 80.84/78.29  cnf(8, plain, [-(in(_21053, _21184)), in(_20986, _21119), _20986 = _21053, _21119 = _21184], theory(equality)).
% 80.84/78.29  cnf(9, plain, [-(ordinal_subset(_22335, _22466)), ordinal_subset(_22268, _22401), _22268 = _22335, _22401 = _22466], theory(equality)).
% 80.84/78.29  cnf(10, plain, [in(_25043, _25090), in(_25090, _25043)], clausify(antisymmetry_r2_hidden)).
% 80.84/78.29  cnf(11, plain, [ordinal(_25583), -(epsilon_transitive(_25583))], clausify(cc1_ordinal1)).
% 80.84/78.29  cnf(12, plain, [ordinal(_27152), ordinal(_27097), -(ordinal_subset(_27097, _27152)), -(ordinal_subset(_27152, _27097))], clausify(connectedness_r1_ordinal1)).
% 80.84/78.29  cnf(13, plain, [epsilon_transitive(_27533), in(_27621, _27533), -(subset(_27621, _27533))], clausify(d2_ordinal1)).
% 80.84/78.29  cnf(14, plain, [-(element(2 ^ [_27901], _27901))], clausify(existence_m1_subset_1)).
% 80.84/78.29  cnf(15, plain, [ordinal(_32536), ordinal(_32481), -(ordinal_subset(_32481, _32536)), subset(_32481, _32536)], clausify(redefinition_r1_ordinal1)).
% 80.84/78.29  cnf(16, plain, [ordinal(_33850), in(_33801, _33850), -(ordinal(_33801))], clausify(t23_ordinal1)).
% 80.84/78.29  cnf(17, plain, [ordinal(_34151), ordinal(_34258), -(in(_34151, _34258)), -(_34151 = _34258), -(in(_34258, _34151))], clausify(t24_ordinal1)).
% 80.84/78.29  cnf(18, plain, [element(_34748, _34798), -(empty(_34798)), -(in(_34748, _34798))], clausify(t2_subset)).
% 80.84/78.29  cnf(19, plain, [-(element(_35121, powerset(_35168))), subset(_35121, _35168)], clausify(t3_subset)).
% 80.84/78.29  cnf(20, plain, [-(element(_35451, _35566)), in(_35451, _35509), element(_35509, powerset(_35566))], clausify(t4_subset)).
% 80.84/78.29  cnf(21, plain, [in(_35940, _35999), element(_35999, powerset(_36057)), empty(_36057)], clausify(t5_subset)).
% 80.84/78.29  cnf(22, plain, [empty(_36427), -(_36427 = empty_set)], clausify(t6_boole)).
% 80.84/78.29  cnf(23, plain, [in(_36966, _37039), -(in(16 ^ [_37039, _36966], _37039))], clausify(t7_tarski)).
% 80.84/78.29  cnf(24, plain, [in(_36966, _37039), in(_43827, _37039), in(_43827, 16 ^ [_37039, _36966])], clausify(t7_tarski)).
% 80.84/78.29  
% 80.84/78.29  cnf('1',plain,[17 ^ [] = empty_set],start(3)).
% 80.84/78.29  cnf('1.1',plain,[-(17 ^ [] = empty_set), empty(17 ^ [])],extension(22,bind([[_36427], [17 ^ []]]))).
% 80.84/78.29  cnf('1.1.1',plain,[-(empty(17 ^ [])), element(2 ^ [17 ^ []], 17 ^ []), -(in(2 ^ [17 ^ []], 17 ^ []))],extension(18,bind([[_34748, _34798], [2 ^ [17 ^ []], 17 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.1',plain,[-(element(2 ^ [17 ^ []], 17 ^ []))],extension(14,bind([[_27901], [17 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2',plain,[in(2 ^ [17 ^ []], 17 ^ []), -(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []))],extension(23,bind([[_36966, _37039], [2 ^ [17 ^ []], 17 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1',plain,[in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []), ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]), -(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],extension(4,bind([[_44351], [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1',plain,[-(ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]])), ordinal(18 ^ []), in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 18 ^ [])],extension(16,bind([[_33801, _33850], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 18 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1.1',plain,[-(ordinal(18 ^ []))],extension(1)).
% 80.84/78.29  cnf('1.1.1.2.1.1.2',plain,[-(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 18 ^ [])), element(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 18 ^ []), -(empty(18 ^ []))],extension(18,bind([[_34748, _34798], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 18 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.1',plain,[-(element(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 18 ^ [])), in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []), element(17 ^ [], powerset(18 ^ []))],extension(20,bind([[_35451, _35509, _35566], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ [], 18 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.1.1',plain,[-(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []))],reduction('1.1.1.2')).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.1.2',plain,[-(element(17 ^ [], powerset(18 ^ []))), subset(17 ^ [], 18 ^ [])],extension(19,bind([[_35121, _35168], [17 ^ [], 18 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.1.2.1',plain,[-(subset(17 ^ [], 18 ^ []))],extension(2)).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.2',plain,[empty(18 ^ []), in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []), element(17 ^ [], powerset(18 ^ []))],extension(21,bind([[_35940, _35999, _36057], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ [], 18 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.2.1',plain,[-(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []))],reduction('1.1.1.2')).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.2.2',plain,[-(element(17 ^ [], powerset(18 ^ []))), subset(17 ^ [], 18 ^ [])],extension(19,bind([[_35121, _35168], [17 ^ [], 18 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.1.2.2.2.1',plain,[-(subset(17 ^ [], 18 ^ []))],extension(2)).
% 80.84/78.29  cnf('1.1.1.2.1.2',plain,[ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), -(in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), -(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), -(in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],extension(17,bind([[_34258, _34151], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.1',plain,[-(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],reduction('1.1.1.2.1')).
% 80.84/78.29  cnf('1.1.1.2.1.2.2',plain,[in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), -(in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]],extension(8,bind([[_20986, _21053, _21119, _21184], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.2.1',plain,[in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(10,bind([[_25090, _25043], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.2.1.1',plain,[-(in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],reduction('1.1.1.2.1.2.2')).
% 80.84/78.29  cnf('1.1.1.2.1.2.2.2',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(7,bind([[_18138], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.2.3',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(7,bind([[_18138], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3',plain,[19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], -(ordinal_subset(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 16 ^ [17 ^ [], 2 ^ [17 ^ []]]],extension(9,bind([[_22466, _22401, _22268, _22335], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.1',plain,[ordinal_subset(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]), in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ [])],extension(6,bind([[_44351], [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.1.1',plain,[-(ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]))],lemmata('1.1.1.2.1')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.1.2',plain,[-(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []))],reduction('1.1.1.2')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2',plain,[-(ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]],extension(9,bind([[_22268, _22335, _22401, _22466], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1',plain,[-(ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]],extension(9,bind([[_22268, _22335, _22401, _22466], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1.1',plain,[-(ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), -(ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],extension(12,bind([[_27152, _27097], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1.1.1',plain,[-(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],lemmata('1.1.1.2.1.2')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1.1.2',plain,[-(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],lemmata('1.1.1.2.1.2.3.2.1.1')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1.1.3',plain,[ordinal_subset(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],reduction('1.1.1.2.1.2.3.2.1')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1.2',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(7,bind([[_18138], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.1.3',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(7,bind([[_18138], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.2',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(7,bind([[_18138], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.2.3',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(7,bind([[_18138], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3',plain,[-(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]] = 16 ^ [17 ^ [], 2 ^ [17 ^ []]]), ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]), -(in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 16 ^ [17 ^ [], 2 ^ [17 ^ []]])), -(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],extension(17,bind([[_34258, _34151], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.1',plain,[-(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],lemmata('1.1.1.2.1.2')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.2',plain,[-(ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]))],lemmata('1.1.1.2.1')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.3',plain,[in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 16 ^ [17 ^ [], 2 ^ [17 ^ []]]), in(2 ^ [17 ^ []], 17 ^ []), in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 17 ^ [])],extension(24,bind([[_36966, _43827, _37039], [2 ^ [17 ^ []], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 17 ^ []]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.3.1',plain,[-(in(2 ^ [17 ^ []], 17 ^ []))],reduction('1.1.1')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.3.2',plain,[-(in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 17 ^ [])), ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]), in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ [])],extension(5,bind([[_44351], [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.3.2.1',plain,[-(ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.3.2.2',plain,[-(in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 17 ^ []))],reduction('1.1.1.2')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4',plain,[in(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), epsilon_transitive(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), -(subset(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],extension(13,bind([[_27621, _27533], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4.1',plain,[-(epsilon_transitive(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])), ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],extension(11,bind([[_25583], [19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4.1.1',plain,[-(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4.2',plain,[subset(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]), ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]), -(ordinal_subset(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],extension(15,bind([[_32481, _32536], [16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]]]))).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4.2.1',plain,[-(ordinal(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4.2.2',plain,[-(ordinal(16 ^ [17 ^ [], 2 ^ [17 ^ []]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.84/78.29  cnf('1.1.1.2.1.2.3.3.4.2.3',plain,[ordinal_subset(16 ^ [17 ^ [], 2 ^ [17 ^ []]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],lemmata('1.1.1.2.1.2.3')).
% 80.84/78.29  cnf('1.1.1.2.1.2.4',plain,[in(19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]], 19 ^ [16 ^ [17 ^ [], 2 ^ [17 ^ []]]])],lemmata('1.1.1.2.1.2')).
% 80.84/78.29  %-----------------------------------------------------
% 80.84/78.30  
% 80.84/78.30  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------