TSTP Solution File: SEU238+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU238+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 12:01:19 EDT 2022
% Result : Theorem 94.37s 91.31s
% Output : Proof 94.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU238+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n010.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 : Sat Jun 18 20:52:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 94.37/91.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.37/91.31 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.37/91.32
% 94.37/91.32 %-----------------------------------------------------
% 94.37/91.32 fof(t42_ordinal1, conjecture, ! [_107706] : (ordinal(_107706) => ~ (~ being_limit_ordinal(_107706) & ! [_107732] : (ordinal(_107732) => (! _107706) = succ(_107732))) & ~ (? [_107732] : (ordinal(_107732) & _107706 = succ(_107732)) & being_limit_ordinal(_107706))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t42_ordinal1)).
% 94.37/91.32 fof(antisymmetry_r2_hidden, axiom, ! [_108185, _108188] : (in(_108185, _108188) => ~ in(_108188, _108185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 94.37/91.32 fof(cc1_ordinal1, axiom, ! [_108340] : (ordinal(_108340) => epsilon_transitive(_108340) & epsilon_connected(_108340)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_ordinal1)).
% 94.37/91.32 fof(cc2_ordinal1, axiom, ! [_108496] : (epsilon_transitive(_108496) & epsilon_connected(_108496) => ordinal(_108496)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_ordinal1)).
% 94.37/91.32 fof(connectedness_r1_ordinal1, axiom, ! [_108642, _108645] : (ordinal(_108642) & ordinal(_108645) => ordinal_subset(_108642, _108645) | ordinal_subset(_108645, _108642)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 94.37/91.32 fof(d8_xboole_0, axiom, ! [_108833, _108836] : (proper_subset(_108833, _108836) <=> subset(_108833, _108836) & (! _108833) = _108836), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_xboole_0)).
% 94.37/91.32 fof(fc3_ordinal1, axiom, ! [_109027] : (ordinal(_109027) => ~ empty(succ(_109027)) & epsilon_transitive(succ(_109027)) & epsilon_connected(succ(_109027)) & ordinal(succ(_109027))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc3_ordinal1)).
% 94.37/91.32 fof(redefinition_r1_ordinal1, axiom, ! [_109316, _109319] : (ordinal(_109316) & ordinal(_109319) => (ordinal_subset(_109316, _109319) <=> subset(_109316, _109319))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 94.37/91.32 fof(t10_ordinal1, axiom, ! [_109507] : in(_109507, succ(_109507)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t10_ordinal1)).
% 94.37/91.32 fof(t21_ordinal1, axiom, ! [_109625] : (epsilon_transitive(_109625) => ! [_109640] : (ordinal(_109640) => proper_subset(_109625, _109640) => in(_109625, _109640))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t21_ordinal1)).
% 94.37/91.32 fof(t33_ordinal1, axiom, ! [_109833] : (ordinal(_109833) => ! [_109848] : (ordinal(_109848) => (in(_109833, _109848) <=> ordinal_subset(succ(_109833), _109848)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t33_ordinal1)).
% 94.37/91.32 fof(t41_ordinal1, axiom, ! [_110063] : (ordinal(_110063) => (being_limit_ordinal(_110063) <=> ! [_110085] : (ordinal(_110085) => in(_110085, _110063) => in(succ(_110085), _110063)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t41_ordinal1)).
% 94.37/91.32
% 94.37/91.32 cnf(1, plain, [-(ordinal(15 ^ []))], clausify(t42_ordinal1)).
% 94.37/91.32 cnf(2, plain, [-(ordinal(16 ^ [])), being_limit_ordinal(15 ^ [])], clausify(t42_ordinal1)).
% 94.37/91.32 cnf(3, plain, [-(ordinal(16 ^ [])), ordinal(_55647), 15 ^ [] = succ(_55647)], clausify(t42_ordinal1)).
% 94.37/91.32 cnf(4, plain, [-(15 ^ [] = succ(16 ^ [])), being_limit_ordinal(15 ^ [])], clausify(t42_ordinal1)).
% 94.37/91.32 cnf(5, plain, [-(15 ^ [] = succ(16 ^ [])), ordinal(_55647), 15 ^ [] = succ(_55647)], clausify(t42_ordinal1)).
% 94.37/91.32 cnf(6, plain, [-(being_limit_ordinal(15 ^ [])), ordinal(_55647), 15 ^ [] = succ(_55647)], clausify(t42_ordinal1)).
% 94.37/91.32 cnf(7, plain, [_30840 = _30889, -(succ(_30840) = succ(_30889))], theory(equality)).
% 94.37/91.32 cnf(8, plain, [-(_22379 = _22379)], theory(equality)).
% 94.37/91.32 cnf(9, plain, [_22532 = _22577, -(_22577 = _22532)], theory(equality)).
% 94.37/91.32 cnf(10, plain, [-(being_limit_ordinal(_23336)), _23287 = _23336, being_limit_ordinal(_23287)], theory(equality)).
% 94.37/91.32 cnf(11, plain, [-(in(_25623, _25754)), in(_25556, _25689), _25556 = _25623, _25689 = _25754], theory(equality)).
% 94.37/91.32 cnf(12, plain, [-(ordinal(_26558)), _26509 = _26558, ordinal(_26509)], theory(equality)).
% 94.37/91.32 cnf(13, plain, [in(_31250, _31297), in(_31297, _31250)], clausify(antisymmetry_r2_hidden)).
% 94.37/91.32 cnf(14, plain, [ordinal(_32120), -(epsilon_transitive(_32120))], clausify(cc1_ordinal1)).
% 94.37/91.32 cnf(15, plain, [ordinal(_32120), -(epsilon_connected(_32120))], clausify(cc1_ordinal1)).
% 94.37/91.32 cnf(16, plain, [-(ordinal(_33040)), epsilon_transitive(_33040), epsilon_connected(_33040)], clausify(cc2_ordinal1)).
% 94.37/91.32 cnf(17, plain, [ordinal(_33999), ordinal(_33944), -(ordinal_subset(_33944, _33999)), -(ordinal_subset(_33999, _33944))], clausify(connectedness_r1_ordinal1)).
% 94.37/91.32 cnf(18, plain, [-(proper_subset(_34630, _34683)), subset(_34630, _34683), -(_34630 = _34683)], clausify(d8_xboole_0)).
% 94.37/91.32 cnf(19, plain, [ordinal(_37787), -(epsilon_transitive(succ(_37787)))], clausify(fc3_ordinal1)).
% 94.37/91.32 cnf(20, plain, [ordinal(_37787), -(epsilon_connected(succ(_37787)))], clausify(fc3_ordinal1)).
% 94.37/91.32 cnf(21, plain, [ordinal(_37787), -(ordinal(succ(_37787)))], clausify(fc3_ordinal1)).
% 94.37/91.32 cnf(22, plain, [ordinal(_42447), ordinal(_42392), ordinal_subset(_42392, _42447), -(subset(_42392, _42447))], clausify(redefinition_r1_ordinal1)).
% 94.37/91.32 cnf(23, plain, [-(in(_43402, succ(_43402)))], clausify(t10_ordinal1)).
% 94.37/91.32 cnf(24, plain, [epsilon_transitive(_44118), ordinal(_44211), proper_subset(_44118, _44211), -(in(_44118, _44211))], clausify(t21_ordinal1)).
% 94.37/91.32 cnf(25, plain, [ordinal(_44922), ordinal(_45017), in(_44922, _45017), -(ordinal_subset(succ(_44922), _45017))], clausify(t33_ordinal1)).
% 94.37/91.32 cnf(26, plain, [ordinal(_44922), ordinal(_45017), -(in(_44922, _45017)), ordinal_subset(succ(_44922), _45017)], clausify(t33_ordinal1)).
% 94.37/91.32 cnf(27, plain, [ordinal(_45703), -(being_limit_ordinal(_45703)), -(ordinal(14 ^ [_45703]))], clausify(t41_ordinal1)).
% 94.37/91.32 cnf(28, plain, [ordinal(_45703), -(being_limit_ordinal(_45703)), -(in(14 ^ [_45703], _45703))], clausify(t41_ordinal1)).
% 94.37/91.32 cnf(29, plain, [ordinal(_45703), -(being_limit_ordinal(_45703)), in(succ(14 ^ [_45703]), _45703)], clausify(t41_ordinal1)).
% 94.37/91.32 cnf(30, plain, [ordinal(_45703), being_limit_ordinal(_45703), ordinal(_45841), in(_45841, _45703), -(in(succ(_45841), _45703))], clausify(t41_ordinal1)).
% 94.37/91.32
% 94.37/91.32 cnf('1',plain,[in(succ(16 ^ []), succ(succ(16 ^ []))), in(succ(succ(16 ^ [])), succ(16 ^ []))],start(13,bind([[_31297, _31250], [succ(succ(16 ^ [])), succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.1',plain,[-(in(succ(16 ^ []), succ(succ(16 ^ [])))), in(15 ^ [], succ(15 ^ [])), 15 ^ [] = succ(16 ^ []), succ(15 ^ []) = succ(succ(16 ^ []))],extension(11,bind([[_25556, _25623, _25689, _25754], [15 ^ [], succ(16 ^ []), succ(15 ^ []), succ(succ(16 ^ []))]]))).
% 94.37/91.32 cnf('1.1.1',plain,[-(in(15 ^ [], succ(15 ^ [])))],extension(23,bind([[_43402], [15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2',plain,[-(15 ^ [] = succ(16 ^ [])), being_limit_ordinal(15 ^ [])],extension(4)).
% 94.37/91.32 cnf('1.1.2.1',plain,[-(being_limit_ordinal(15 ^ [])), ordinal(15 ^ []), -(ordinal(14 ^ [15 ^ []]))],extension(27,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.1.2.1.2',plain,[ordinal(14 ^ [15 ^ []]), -(ordinal(16 ^ [])), 15 ^ [] = succ(14 ^ [15 ^ []])],extension(3,bind([[_55647], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1',plain,[ordinal(16 ^ []), -(epsilon_transitive(succ(16 ^ [])))],extension(19,bind([[_37787], [16 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1',plain,[epsilon_transitive(succ(16 ^ [])), -(ordinal(succ(16 ^ []))), epsilon_connected(succ(16 ^ []))],extension(16,bind([[_33040], [succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1',plain,[ordinal(succ(16 ^ [])), -(ordinal(succ(succ(16 ^ []))))],extension(21,bind([[_37787], [succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1',plain,[ordinal(succ(succ(16 ^ []))), ordinal(succ(succ(16 ^ []))), -(ordinal_subset(succ(succ(16 ^ [])), succ(succ(16 ^ [])))), -(ordinal_subset(succ(succ(16 ^ [])), succ(succ(16 ^ []))))],extension(17,bind([[_33999, _33944], [succ(succ(16 ^ [])), succ(succ(16 ^ []))]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1.1',plain,[-(ordinal(succ(succ(16 ^ []))))],reduction('1.1.2.1.2.1.1.1')).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1.2',plain,[ordinal_subset(succ(succ(16 ^ [])), succ(succ(16 ^ []))), ordinal(succ(16 ^ [])), ordinal(succ(succ(16 ^ []))), -(in(succ(16 ^ []), succ(succ(16 ^ []))))],extension(26,bind([[_44922, _45017], [succ(16 ^ []), succ(succ(16 ^ []))]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1.2.1',plain,[-(ordinal(succ(16 ^ [])))],reduction('1.1.2.1.2.1.1')).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1.2.2',plain,[-(ordinal(succ(succ(16 ^ []))))],lemmata('1.1.2.1.2.1.1.1.1')).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1.2.3',plain,[in(succ(16 ^ []), succ(succ(16 ^ [])))],reduction('1')).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.1.1.3',plain,[ordinal_subset(succ(succ(16 ^ [])), succ(succ(16 ^ [])))],lemmata('1.1.2.1.2.1.1.1.1')).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.2',plain,[-(epsilon_connected(succ(16 ^ []))), ordinal(succ(16 ^ []))],extension(15,bind([[_32120], [succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.2.1',plain,[-(ordinal(succ(16 ^ []))), ordinal(16 ^ [])],extension(21,bind([[_37787], [16 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.1.1.2.1.1',plain,[-(ordinal(16 ^ []))],reduction('1.1.2.1.2')).
% 94.37/91.32 cnf('1.1.2.1.2.2',plain,[-(15 ^ [] = succ(14 ^ [15 ^ []])), succ(14 ^ [15 ^ []]) = 15 ^ []],extension(9,bind([[_22532, _22577], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1',plain,[-(succ(14 ^ [15 ^ []]) = 15 ^ []), -(proper_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), subset(succ(14 ^ [15 ^ []]), 15 ^ [])],extension(18,bind([[_34630, _34683], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1',plain,[proper_subset(succ(14 ^ [15 ^ []]), 15 ^ []), epsilon_transitive(succ(14 ^ [15 ^ []])), ordinal(15 ^ []), -(in(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(24,bind([[_44118, _44211], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(succ(14 ^ [15 ^ []]))],extension(14,bind([[_32120], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.1.1',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(21,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.1.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.1.2.1')).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.3',plain,[in(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(29,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.1.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.1.2')).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2',plain,[-(subset(succ(14 ^ [15 ^ []]), 15 ^ [])), ordinal(15 ^ []), ordinal(succ(14 ^ [15 ^ []])), ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ [])],extension(22,bind([[_42392, _42447], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.2',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), epsilon_transitive(succ(14 ^ [15 ^ []])), epsilon_connected(succ(14 ^ [15 ^ []]))],extension(16,bind([[_33040], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.2.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(19,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.2.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.1.2.1')).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.2.2',plain,[-(epsilon_connected(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(20,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.2.2.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.1.2.1')).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.3',plain,[-(ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), ordinal(14 ^ [15 ^ []]), ordinal(15 ^ []), in(14 ^ [15 ^ []], 15 ^ [])],extension(25,bind([[_44922, _45017], [14 ^ [15 ^ []], 15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.3.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.1.2.1')).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.3.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.3.3',plain,[-(in(14 ^ [15 ^ []], 15 ^ [])), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(28,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.3.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.1.2.1.2.2.1.2.3.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.1.2')).
% 94.37/91.32 cnf('1.1.3',plain,[-(succ(15 ^ []) = succ(succ(16 ^ []))), 15 ^ [] = succ(16 ^ [])],extension(7,bind([[_30840, _30889], [15 ^ [], succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.1.3.1',plain,[-(15 ^ [] = succ(16 ^ []))],lemmata('1.1')).
% 94.37/91.32 cnf('1.2',plain,[-(in(succ(succ(16 ^ [])), succ(16 ^ []))), ordinal(succ(16 ^ [])), being_limit_ordinal(succ(16 ^ [])), ordinal(succ(16 ^ [])), in(succ(16 ^ []), succ(16 ^ []))],extension(30,bind([[_45841, _45703], [succ(16 ^ []), succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.2.1',plain,[-(ordinal(succ(16 ^ []))), 15 ^ [] = succ(16 ^ []), ordinal(15 ^ [])],extension(12,bind([[_26558, _26509], [succ(16 ^ []), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1',plain,[-(15 ^ [] = succ(16 ^ [])), being_limit_ordinal(15 ^ [])],extension(4)).
% 94.37/91.32 cnf('1.2.1.1.1',plain,[-(being_limit_ordinal(15 ^ [])), ordinal(15 ^ []), -(in(14 ^ [15 ^ []], 15 ^ []))],extension(28,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.1.1.1.2',plain,[in(14 ^ [15 ^ []], 15 ^ []), ordinal(14 ^ [15 ^ []]), ordinal(15 ^ []), -(ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(25,bind([[_44922, _45017], [14 ^ [15 ^ []], 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.1',plain,[-(ordinal(14 ^ [15 ^ []])), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(27,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.1.1.1.2.1.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.1.1')).
% 94.37/91.32 cnf('1.2.1.1.1.2.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.1.1.1.2.3',plain,[ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), ordinal(succ(14 ^ [15 ^ []])), -(subset(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(22,bind([[_42392, _42447], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.2',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), epsilon_transitive(succ(14 ^ [15 ^ []])), epsilon_connected(succ(14 ^ [15 ^ []]))],extension(16,bind([[_33040], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.2.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(19,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.2.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.1.1.1.2')).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.2.2',plain,[-(epsilon_connected(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(20,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.2.2.1',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.1.1.1.2')).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3',plain,[subset(succ(14 ^ [15 ^ []]), 15 ^ []), -(proper_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), -(succ(14 ^ [15 ^ []]) = 15 ^ [])],extension(18,bind([[_34630, _34683], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1',plain,[proper_subset(succ(14 ^ [15 ^ []]), 15 ^ []), epsilon_transitive(succ(14 ^ [15 ^ []])), ordinal(15 ^ []), -(in(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(24,bind([[_44118, _44211], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(succ(14 ^ [15 ^ []]))],extension(14,bind([[_32120], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1.1.1',plain,[-(ordinal(succ(14 ^ [15 ^ []])))],lemmata('1.2.1.1.1.2.3')).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1.3',plain,[in(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(29,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.1.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.1.1')).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.2',plain,[succ(14 ^ [15 ^ []]) = 15 ^ [], -(15 ^ [] = succ(14 ^ [15 ^ []]))],extension(9,bind([[_22577, _22532], [15 ^ [], succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.2.1',plain,[15 ^ [] = succ(14 ^ [15 ^ []]), -(15 ^ [] = succ(16 ^ [])), ordinal(14 ^ [15 ^ []])],extension(5,bind([[_55647], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.2.1.1',plain,[15 ^ [] = succ(16 ^ [])],reduction('1.2.1')).
% 94.37/91.32 cnf('1.2.1.1.1.2.3.3.2.1.2',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.1.1.1.2')).
% 94.37/91.32 cnf('1.2.1.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2',plain,[-(being_limit_ordinal(succ(16 ^ []))), 15 ^ [] = succ(16 ^ []), being_limit_ordinal(15 ^ [])],extension(10,bind([[_23336, _23287], [succ(16 ^ []), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1',plain,[-(15 ^ [] = succ(16 ^ [])), being_limit_ordinal(15 ^ [])],extension(4)).
% 94.37/91.32 cnf('1.2.2.1.1',plain,[-(being_limit_ordinal(15 ^ [])), ordinal(15 ^ []), -(in(14 ^ [15 ^ []], 15 ^ []))],extension(28,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.1.1.2',plain,[in(14 ^ [15 ^ []], 15 ^ []), ordinal(14 ^ [15 ^ []]), ordinal(15 ^ []), -(ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(25,bind([[_44922, _45017], [14 ^ [15 ^ []], 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.1',plain,[-(ordinal(14 ^ [15 ^ []])), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(27,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.1.1.2.1.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.2.1')).
% 94.37/91.32 cnf('1.2.2.1.1.2.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.1.1.2.3',plain,[ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), ordinal(succ(14 ^ [15 ^ []])), -(subset(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(22,bind([[_42392, _42447], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.2',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), epsilon_transitive(succ(14 ^ [15 ^ []])), epsilon_connected(succ(14 ^ [15 ^ []]))],extension(16,bind([[_33040], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.2.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(19,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.2.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.2.1.1.2')).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.2.2',plain,[-(epsilon_connected(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(20,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.2.2.1',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.2.1.1.2')).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3',plain,[subset(succ(14 ^ [15 ^ []]), 15 ^ []), -(proper_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), -(succ(14 ^ [15 ^ []]) = 15 ^ [])],extension(18,bind([[_34630, _34683], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1',plain,[proper_subset(succ(14 ^ [15 ^ []]), 15 ^ []), epsilon_transitive(succ(14 ^ [15 ^ []])), ordinal(15 ^ []), -(in(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(24,bind([[_44118, _44211], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(succ(14 ^ [15 ^ []]))],extension(14,bind([[_32120], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1.1.1',plain,[-(ordinal(succ(14 ^ [15 ^ []])))],lemmata('1.2.2.1.1.2.3')).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1.3',plain,[in(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(29,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.1.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.2.1')).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.2',plain,[succ(14 ^ [15 ^ []]) = 15 ^ [], -(15 ^ [] = succ(14 ^ [15 ^ []]))],extension(9,bind([[_22577, _22532], [15 ^ [], succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.2.1',plain,[15 ^ [] = succ(14 ^ [15 ^ []]), -(15 ^ [] = succ(16 ^ [])), ordinal(14 ^ [15 ^ []])],extension(5,bind([[_55647], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.2.1.1',plain,[15 ^ [] = succ(16 ^ [])],reduction('1.2.2')).
% 94.37/91.32 cnf('1.2.2.1.1.2.3.3.2.1.2',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.2.1.1.2')).
% 94.37/91.32 cnf('1.2.2.2',plain,[-(being_limit_ordinal(15 ^ [])), ordinal(15 ^ []), -(ordinal(14 ^ [15 ^ []]))],extension(27,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.2.2',plain,[ordinal(14 ^ [15 ^ []]), -(ordinal(16 ^ [])), 15 ^ [] = succ(14 ^ [15 ^ []])],extension(3,bind([[_55647], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.2.2.1',plain,[ordinal(16 ^ []), -(15 ^ [] = succ(16 ^ [])), 15 ^ [] = succ(16 ^ [])],extension(5,bind([[_55647], [16 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.1.1',plain,[15 ^ [] = succ(16 ^ []), -(being_limit_ordinal(15 ^ [])), ordinal(16 ^ [])],extension(6,bind([[_55647], [16 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.1.1.1',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.1.1.2',plain,[-(ordinal(16 ^ []))],reduction('1.2.2.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.1.2',plain,[-(15 ^ [] = succ(16 ^ []))],lemmata('1.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.2',plain,[-(15 ^ [] = succ(14 ^ [15 ^ []])), succ(14 ^ [15 ^ []]) = 15 ^ []],extension(9,bind([[_22532, _22577], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1',plain,[-(succ(14 ^ [15 ^ []]) = 15 ^ []), -(proper_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), subset(succ(14 ^ [15 ^ []]), 15 ^ [])],extension(18,bind([[_34630, _34683], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1',plain,[proper_subset(succ(14 ^ [15 ^ []]), 15 ^ []), epsilon_transitive(succ(14 ^ [15 ^ []])), ordinal(15 ^ []), -(in(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(24,bind([[_44118, _44211], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(succ(14 ^ [15 ^ []]))],extension(14,bind([[_32120], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.1.1',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(21,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.1.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.2.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.3',plain,[in(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(29,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.1.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2',plain,[-(subset(succ(14 ^ [15 ^ []]), 15 ^ [])), ordinal(15 ^ []), ordinal(succ(14 ^ [15 ^ []])), ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ [])],extension(22,bind([[_42392, _42447], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.2',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), epsilon_transitive(succ(14 ^ [15 ^ []])), epsilon_connected(succ(14 ^ [15 ^ []]))],extension(16,bind([[_33040], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.2.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(19,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.2.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.2.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.2.2',plain,[-(epsilon_connected(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(20,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.2.2.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.2.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.3',plain,[-(ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), ordinal(14 ^ [15 ^ []]), ordinal(15 ^ []), in(14 ^ [15 ^ []], 15 ^ [])],extension(25,bind([[_44922, _45017], [14 ^ [15 ^ []], 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.3.1',plain,[-(ordinal(14 ^ [15 ^ []]))],reduction('1.2.2.2')).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.3.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.3.3',plain,[-(in(14 ^ [15 ^ []], 15 ^ [])), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(28,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.3.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.2.2.2.2.1.2.3.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.2')).
% 94.37/91.32 cnf('1.2.3',plain,[-(ordinal(succ(16 ^ [])))],lemmata('1.2')).
% 94.37/91.32 cnf('1.2.4',plain,[-(in(succ(16 ^ []), succ(16 ^ []))), ordinal(succ(16 ^ [])), being_limit_ordinal(succ(16 ^ [])), ordinal(16 ^ []), in(16 ^ [], succ(16 ^ []))],extension(30,bind([[_45841, _45703], [16 ^ [], succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.2.4.1',plain,[-(ordinal(succ(16 ^ [])))],lemmata('1.2')).
% 94.37/91.32 cnf('1.2.4.2',plain,[-(being_limit_ordinal(succ(16 ^ [])))],lemmata('1.2')).
% 94.37/91.32 cnf('1.2.4.3',plain,[-(ordinal(16 ^ [])), being_limit_ordinal(15 ^ [])],extension(2)).
% 94.37/91.32 cnf('1.2.4.3.1',plain,[-(being_limit_ordinal(15 ^ [])), ordinal(15 ^ []), -(in(14 ^ [15 ^ []], 15 ^ []))],extension(28,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.4.3.1.2',plain,[in(14 ^ [15 ^ []], 15 ^ []), ordinal(14 ^ [15 ^ []]), ordinal(15 ^ []), -(ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(25,bind([[_44922, _45017], [14 ^ [15 ^ []], 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.1',plain,[-(ordinal(14 ^ [15 ^ []])), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(27,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.1.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.4.3.1.2.1.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.4.3')).
% 94.37/91.32 cnf('1.2.4.3.1.2.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.4.3.1.2.3',plain,[ordinal_subset(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), ordinal(succ(14 ^ [15 ^ []])), -(subset(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(22,bind([[_42392, _42447], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.2',plain,[-(ordinal(succ(14 ^ [15 ^ []]))), epsilon_transitive(succ(14 ^ [15 ^ []])), epsilon_connected(succ(14 ^ [15 ^ []]))],extension(16,bind([[_33040], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.2.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(19,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.2.1.1',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.4.3.1.2')).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.2.2',plain,[-(epsilon_connected(succ(14 ^ [15 ^ []]))), ordinal(14 ^ [15 ^ []])],extension(20,bind([[_37787], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.2.2.1',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.4.3.1.2')).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3',plain,[subset(succ(14 ^ [15 ^ []]), 15 ^ []), -(proper_subset(succ(14 ^ [15 ^ []]), 15 ^ [])), -(succ(14 ^ [15 ^ []]) = 15 ^ [])],extension(18,bind([[_34630, _34683], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1',plain,[proper_subset(succ(14 ^ [15 ^ []]), 15 ^ []), epsilon_transitive(succ(14 ^ [15 ^ []])), ordinal(15 ^ []), -(in(succ(14 ^ [15 ^ []]), 15 ^ []))],extension(24,bind([[_44118, _44211], [succ(14 ^ [15 ^ []]), 15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1.1',plain,[-(epsilon_transitive(succ(14 ^ [15 ^ []]))), ordinal(succ(14 ^ [15 ^ []]))],extension(14,bind([[_32120], [succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1.1.1',plain,[-(ordinal(succ(14 ^ [15 ^ []])))],lemmata('1.2.4.3.1.2.3')).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1.2',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1.3',plain,[in(succ(14 ^ [15 ^ []]), 15 ^ []), ordinal(15 ^ []), -(being_limit_ordinal(15 ^ []))],extension(29,bind([[_45703], [15 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1.3.1',plain,[-(ordinal(15 ^ []))],extension(1)).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.1.3.2',plain,[being_limit_ordinal(15 ^ [])],reduction('1.2.4.3')).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.2',plain,[succ(14 ^ [15 ^ []]) = 15 ^ [], -(15 ^ [] = succ(14 ^ [15 ^ []]))],extension(9,bind([[_22577, _22532], [15 ^ [], succ(14 ^ [15 ^ []])]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.2.1',plain,[15 ^ [] = succ(14 ^ [15 ^ []]), -(ordinal(16 ^ [])), ordinal(14 ^ [15 ^ []])],extension(3,bind([[_55647], [14 ^ [15 ^ []]]]))).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.2.1.1',plain,[ordinal(16 ^ [])],reduction('1.2.4')).
% 94.37/91.32 cnf('1.2.4.3.1.2.3.3.2.1.2',plain,[-(ordinal(14 ^ [15 ^ []]))],lemmata('1.2.4.3.1.2')).
% 94.37/91.32 cnf('1.2.4.4',plain,[-(in(16 ^ [], succ(16 ^ []))), in(16 ^ [], succ(16 ^ [])), 16 ^ [] = 16 ^ [], succ(16 ^ []) = succ(16 ^ [])],extension(11,bind([[_25556, _25623, _25689, _25754], [16 ^ [], 16 ^ [], succ(16 ^ []), succ(16 ^ [])]]))).
% 94.37/91.32 cnf('1.2.4.4.1',plain,[-(in(16 ^ [], succ(16 ^ [])))],extension(23,bind([[_43402], [16 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.4.2',plain,[-(16 ^ [] = 16 ^ [])],extension(8,bind([[_22379], [16 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.4.3',plain,[-(succ(16 ^ []) = succ(16 ^ [])), 16 ^ [] = 16 ^ []],extension(7,bind([[_30840, _30889], [16 ^ [], 16 ^ []]]))).
% 94.37/91.32 cnf('1.2.4.4.3.1',plain,[-(16 ^ [] = 16 ^ [])],extension(8,bind([[_22379], [16 ^ []]]))).
% 94.37/91.32 %-----------------------------------------------------
% 94.37/91.32
% 94.37/91.32 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------