TSTP Solution File: SEU238+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU238+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 12:01:20 EDT 2022
% Result : Theorem 95.48s 93.13s
% Output : Proof 95.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU238+3 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.08 % Command : leancop_casc.sh %s %d
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Sun Jun 19 09:32:47 EDT 2022
% 0.08/0.27 % CPUTime :
% 95.48/93.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.48/93.13 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.50/93.13
% 95.50/93.13 %-----------------------------------------------------
% 95.50/93.13 fof(t42_ordinal1, conjecture, ! [_107394] : (ordinal(_107394) => ~ (~ being_limit_ordinal(_107394) & ! [_107420] : (ordinal(_107420) => (! _107394) = succ(_107420))) & ~ (? [_107420] : (ordinal(_107420) & _107394 = succ(_107420)) & being_limit_ordinal(_107394))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t42_ordinal1)).
% 95.50/93.13 fof(antisymmetry_r2_hidden, axiom, ! [_107874, _107877] : (in(_107874, _107877) => ~ in(_107877, _107874)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 95.50/93.13 fof(cc1_ordinal1, axiom, ! [_108029] : (ordinal(_108029) => epsilon_transitive(_108029) & epsilon_connected(_108029)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_ordinal1)).
% 95.50/93.13 fof(cc2_ordinal1, axiom, ! [_108185] : (epsilon_transitive(_108185) & epsilon_connected(_108185) => ordinal(_108185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_ordinal1)).
% 95.50/93.13 fof(connectedness_r1_ordinal1, axiom, ! [_108331, _108334] : (ordinal(_108331) & ordinal(_108334) => ordinal_subset(_108331, _108334) | ordinal_subset(_108334, _108331)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 95.50/93.13 fof(d8_xboole_0, axiom, ! [_108522, _108525] : (proper_subset(_108522, _108525) <=> subset(_108522, _108525) & (! _108522) = _108525), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_xboole_0)).
% 95.50/93.13 fof(fc3_ordinal1, axiom, ! [_108716] : (ordinal(_108716) => ~ empty(succ(_108716)) & epsilon_transitive(succ(_108716)) & epsilon_connected(succ(_108716)) & ordinal(succ(_108716))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc3_ordinal1)).
% 95.50/93.13 fof(redefinition_r1_ordinal1, axiom, ! [_109008, _109011] : (ordinal(_109008) & ordinal(_109011) => (ordinal_subset(_109008, _109011) <=> subset(_109008, _109011))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 95.50/93.13 fof(t10_ordinal1, axiom, ! [_109199] : in(_109199, succ(_109199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t10_ordinal1)).
% 95.50/93.13 fof(t21_ordinal1, axiom, ! [_109317] : (epsilon_transitive(_109317) => ! [_109332] : (ordinal(_109332) => proper_subset(_109317, _109332) => in(_109317, _109332))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t21_ordinal1)).
% 95.50/93.13 fof(t33_ordinal1, axiom, ! [_109525] : (ordinal(_109525) => ! [_109540] : (ordinal(_109540) => (in(_109525, _109540) <=> ordinal_subset(succ(_109525), _109540)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t33_ordinal1)).
% 95.50/93.13 fof(t41_ordinal1, axiom, ! [_109755] : (ordinal(_109755) => (being_limit_ordinal(_109755) <=> ! [_109777] : (ordinal(_109777) => in(_109777, _109755) => in(succ(_109777), _109755)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t41_ordinal1)).
% 95.50/93.13
% 95.50/93.13 cnf(1, plain, [-(ordinal(16 ^ []))], clausify(t42_ordinal1)).
% 95.50/93.13 cnf(2, plain, [-(ordinal(17 ^ [])), being_limit_ordinal(16 ^ [])], clausify(t42_ordinal1)).
% 95.50/93.13 cnf(3, plain, [-(ordinal(17 ^ [])), ordinal(_55192), 16 ^ [] = succ(_55192)], clausify(t42_ordinal1)).
% 95.50/93.13 cnf(4, plain, [-(16 ^ [] = succ(17 ^ [])), being_limit_ordinal(16 ^ [])], clausify(t42_ordinal1)).
% 95.50/93.13 cnf(5, plain, [-(16 ^ [] = succ(17 ^ [])), ordinal(_55192), 16 ^ [] = succ(_55192)], clausify(t42_ordinal1)).
% 95.50/93.13 cnf(6, plain, [-(being_limit_ordinal(16 ^ [])), ordinal(_55192), 16 ^ [] = succ(_55192)], clausify(t42_ordinal1)).
% 95.50/93.13 cnf(7, plain, [_31083 = _31132, -(succ(_31083) = succ(_31132))], theory(equality)).
% 95.50/93.13 cnf(8, plain, [-(_22278 = _22278)], theory(equality)).
% 95.50/93.13 cnf(9, plain, [_22431 = _22476, -(_22476 = _22431)], theory(equality)).
% 95.50/93.13 cnf(10, plain, [-(being_limit_ordinal(_23235)), _23186 = _23235, being_limit_ordinal(_23186)], theory(equality)).
% 95.50/93.13 cnf(11, plain, [-(in(_25522, _25653)), in(_25455, _25588), _25455 = _25522, _25588 = _25653], theory(equality)).
% 95.50/93.13 cnf(12, plain, [-(ordinal(_26457)), _26408 = _26457, ordinal(_26408)], theory(equality)).
% 95.50/93.13 cnf(13, plain, [in(_31493, _31540), in(_31540, _31493)], clausify(antisymmetry_r2_hidden)).
% 95.50/93.13 cnf(14, plain, [ordinal(_32363), -(epsilon_transitive(_32363))], clausify(cc1_ordinal1)).
% 95.50/93.13 cnf(15, plain, [ordinal(_32363), -(epsilon_connected(_32363))], clausify(cc1_ordinal1)).
% 95.50/93.13 cnf(16, plain, [-(ordinal(_33283)), epsilon_transitive(_33283), epsilon_connected(_33283)], clausify(cc2_ordinal1)).
% 95.50/93.13 cnf(17, plain, [ordinal(_34242), ordinal(_34187), -(ordinal_subset(_34187, _34242)), -(ordinal_subset(_34242, _34187))], clausify(connectedness_r1_ordinal1)).
% 95.50/93.13 cnf(18, plain, [-(proper_subset(_34873, _34926)), subset(_34873, _34926), -(_34873 = _34926)], clausify(d8_xboole_0)).
% 95.50/93.13 cnf(19, plain, [ordinal(_37232), -(epsilon_transitive(succ(_37232)))], clausify(fc3_ordinal1)).
% 95.50/93.13 cnf(20, plain, [ordinal(_37232), -(epsilon_connected(succ(_37232)))], clausify(fc3_ordinal1)).
% 95.50/93.13 cnf(21, plain, [ordinal(_37232), -(ordinal(succ(_37232)))], clausify(fc3_ordinal1)).
% 95.50/93.13 cnf(22, plain, [ordinal(_42161), ordinal(_42106), ordinal_subset(_42106, _42161), -(subset(_42106, _42161))], clausify(redefinition_r1_ordinal1)).
% 95.50/93.13 cnf(23, plain, [-(in(_43116, succ(_43116)))], clausify(t10_ordinal1)).
% 95.50/93.13 cnf(24, plain, [epsilon_transitive(_43832), ordinal(_43925), proper_subset(_43832, _43925), -(in(_43832, _43925))], clausify(t21_ordinal1)).
% 95.50/93.13 cnf(25, plain, [ordinal(_44636), ordinal(_44731), in(_44636, _44731), -(ordinal_subset(succ(_44636), _44731))], clausify(t33_ordinal1)).
% 95.50/93.13 cnf(26, plain, [ordinal(_44636), ordinal(_44731), -(in(_44636, _44731)), ordinal_subset(succ(_44636), _44731)], clausify(t33_ordinal1)).
% 95.50/93.13 cnf(27, plain, [ordinal(_45417), -(being_limit_ordinal(_45417)), -(ordinal(15 ^ [_45417]))], clausify(t41_ordinal1)).
% 95.50/93.13 cnf(28, plain, [ordinal(_45417), -(being_limit_ordinal(_45417)), -(in(15 ^ [_45417], _45417))], clausify(t41_ordinal1)).
% 95.50/93.13 cnf(29, plain, [ordinal(_45417), -(being_limit_ordinal(_45417)), in(succ(15 ^ [_45417]), _45417)], clausify(t41_ordinal1)).
% 95.50/93.13 cnf(30, plain, [ordinal(_45417), being_limit_ordinal(_45417), ordinal(_45555), in(_45555, _45417), -(in(succ(_45555), _45417))], clausify(t41_ordinal1)).
% 95.50/93.13
% 95.50/93.13 cnf('1',plain,[in(succ(17 ^ []), succ(succ(17 ^ []))), in(succ(succ(17 ^ [])), succ(17 ^ []))],start(13,bind([[_31540, _31493], [succ(succ(17 ^ [])), succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.1',plain,[-(in(succ(17 ^ []), succ(succ(17 ^ [])))), in(16 ^ [], succ(16 ^ [])), 16 ^ [] = succ(17 ^ []), succ(16 ^ []) = succ(succ(17 ^ []))],extension(11,bind([[_25455, _25522, _25588, _25653], [16 ^ [], succ(17 ^ []), succ(16 ^ []), succ(succ(17 ^ []))]]))).
% 95.50/93.13 cnf('1.1.1',plain,[-(in(16 ^ [], succ(16 ^ [])))],extension(23,bind([[_43116], [16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2',plain,[-(16 ^ [] = succ(17 ^ [])), being_limit_ordinal(16 ^ [])],extension(4)).
% 95.50/93.13 cnf('1.1.2.1',plain,[-(being_limit_ordinal(16 ^ [])), ordinal(16 ^ []), -(ordinal(15 ^ [16 ^ []]))],extension(27,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.1.2.1.2',plain,[ordinal(15 ^ [16 ^ []]), -(ordinal(17 ^ [])), 16 ^ [] = succ(15 ^ [16 ^ []])],extension(3,bind([[_55192], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1',plain,[ordinal(17 ^ []), -(epsilon_transitive(succ(17 ^ [])))],extension(19,bind([[_37232], [17 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1',plain,[epsilon_transitive(succ(17 ^ [])), -(ordinal(succ(17 ^ []))), epsilon_connected(succ(17 ^ []))],extension(16,bind([[_33283], [succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1',plain,[ordinal(succ(17 ^ [])), -(ordinal(succ(succ(17 ^ []))))],extension(21,bind([[_37232], [succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1',plain,[ordinal(succ(succ(17 ^ []))), ordinal(succ(succ(17 ^ []))), -(ordinal_subset(succ(succ(17 ^ [])), succ(succ(17 ^ [])))), -(ordinal_subset(succ(succ(17 ^ [])), succ(succ(17 ^ []))))],extension(17,bind([[_34242, _34187], [succ(succ(17 ^ [])), succ(succ(17 ^ []))]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1.1',plain,[-(ordinal(succ(succ(17 ^ []))))],reduction('1.1.2.1.2.1.1.1')).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1.2',plain,[ordinal_subset(succ(succ(17 ^ [])), succ(succ(17 ^ []))), ordinal(succ(17 ^ [])), ordinal(succ(succ(17 ^ []))), -(in(succ(17 ^ []), succ(succ(17 ^ []))))],extension(26,bind([[_44636, _44731], [succ(17 ^ []), succ(succ(17 ^ []))]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1.2.1',plain,[-(ordinal(succ(17 ^ [])))],reduction('1.1.2.1.2.1.1')).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1.2.2',plain,[-(ordinal(succ(succ(17 ^ []))))],lemmata('1.1.2.1.2.1.1.1.1')).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1.2.3',plain,[in(succ(17 ^ []), succ(succ(17 ^ [])))],reduction('1')).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.1.1.3',plain,[ordinal_subset(succ(succ(17 ^ [])), succ(succ(17 ^ [])))],lemmata('1.1.2.1.2.1.1.1.1')).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.2',plain,[-(epsilon_connected(succ(17 ^ []))), ordinal(succ(17 ^ []))],extension(15,bind([[_32363], [succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.2.1',plain,[-(ordinal(succ(17 ^ []))), ordinal(17 ^ [])],extension(21,bind([[_37232], [17 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.1.1.2.1.1',plain,[-(ordinal(17 ^ []))],reduction('1.1.2.1.2')).
% 95.50/93.13 cnf('1.1.2.1.2.2',plain,[-(16 ^ [] = succ(15 ^ [16 ^ []])), succ(15 ^ [16 ^ []]) = 16 ^ []],extension(9,bind([[_22431, _22476], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1',plain,[-(succ(15 ^ [16 ^ []]) = 16 ^ []), -(proper_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), subset(succ(15 ^ [16 ^ []]), 16 ^ [])],extension(18,bind([[_34873, _34926], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1',plain,[proper_subset(succ(15 ^ [16 ^ []]), 16 ^ []), epsilon_transitive(succ(15 ^ [16 ^ []])), ordinal(16 ^ []), -(in(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(24,bind([[_43832, _43925], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(succ(15 ^ [16 ^ []]))],extension(14,bind([[_32363], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.1.1',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(21,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.1.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.1.2.1')).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.3',plain,[in(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(29,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.1.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.1.2')).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2',plain,[-(subset(succ(15 ^ [16 ^ []]), 16 ^ [])), ordinal(16 ^ []), ordinal(succ(15 ^ [16 ^ []])), ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ [])],extension(22,bind([[_42106, _42161], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.2',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), epsilon_transitive(succ(15 ^ [16 ^ []])), epsilon_connected(succ(15 ^ [16 ^ []]))],extension(16,bind([[_33283], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.2.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(19,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.2.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.1.2.1')).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.2.2',plain,[-(epsilon_connected(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(20,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.2.2.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.1.2.1')).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.3',plain,[-(ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), ordinal(15 ^ [16 ^ []]), ordinal(16 ^ []), in(15 ^ [16 ^ []], 16 ^ [])],extension(25,bind([[_44636, _44731], [15 ^ [16 ^ []], 16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.3.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.1.2.1')).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.3.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.3.3',plain,[-(in(15 ^ [16 ^ []], 16 ^ [])), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(28,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.3.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.1.2.1.2.2.1.2.3.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.1.2')).
% 95.50/93.13 cnf('1.1.3',plain,[-(succ(16 ^ []) = succ(succ(17 ^ []))), 16 ^ [] = succ(17 ^ [])],extension(7,bind([[_31083, _31132], [16 ^ [], succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.1.3.1',plain,[-(16 ^ [] = succ(17 ^ []))],lemmata('1.1')).
% 95.50/93.13 cnf('1.2',plain,[-(in(succ(succ(17 ^ [])), succ(17 ^ []))), ordinal(succ(17 ^ [])), being_limit_ordinal(succ(17 ^ [])), ordinal(succ(17 ^ [])), in(succ(17 ^ []), succ(17 ^ []))],extension(30,bind([[_45555, _45417], [succ(17 ^ []), succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.2.1',plain,[-(ordinal(succ(17 ^ []))), 16 ^ [] = succ(17 ^ []), ordinal(16 ^ [])],extension(12,bind([[_26457, _26408], [succ(17 ^ []), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1',plain,[-(16 ^ [] = succ(17 ^ [])), being_limit_ordinal(16 ^ [])],extension(4)).
% 95.50/93.13 cnf('1.2.1.1.1',plain,[-(being_limit_ordinal(16 ^ [])), ordinal(16 ^ []), -(in(15 ^ [16 ^ []], 16 ^ []))],extension(28,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.1.1.1.2',plain,[in(15 ^ [16 ^ []], 16 ^ []), ordinal(15 ^ [16 ^ []]), ordinal(16 ^ []), -(ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(25,bind([[_44636, _44731], [15 ^ [16 ^ []], 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.1',plain,[-(ordinal(15 ^ [16 ^ []])), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(27,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.1.1.1.2.1.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.1.1')).
% 95.50/93.13 cnf('1.2.1.1.1.2.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.1.1.1.2.3',plain,[ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), ordinal(succ(15 ^ [16 ^ []])), -(subset(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(22,bind([[_42106, _42161], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.2',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), epsilon_transitive(succ(15 ^ [16 ^ []])), epsilon_connected(succ(15 ^ [16 ^ []]))],extension(16,bind([[_33283], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.2.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(19,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.2.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.1.1.1.2')).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.2.2',plain,[-(epsilon_connected(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(20,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.2.2.1',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.1.1.1.2')).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3',plain,[subset(succ(15 ^ [16 ^ []]), 16 ^ []), -(proper_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), -(succ(15 ^ [16 ^ []]) = 16 ^ [])],extension(18,bind([[_34873, _34926], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1',plain,[proper_subset(succ(15 ^ [16 ^ []]), 16 ^ []), epsilon_transitive(succ(15 ^ [16 ^ []])), ordinal(16 ^ []), -(in(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(24,bind([[_43832, _43925], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(succ(15 ^ [16 ^ []]))],extension(14,bind([[_32363], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1.1.1',plain,[-(ordinal(succ(15 ^ [16 ^ []])))],lemmata('1.2.1.1.1.2.3')).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1.3',plain,[in(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(29,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.1.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.1.1')).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.2',plain,[succ(15 ^ [16 ^ []]) = 16 ^ [], -(16 ^ [] = succ(15 ^ [16 ^ []]))],extension(9,bind([[_22476, _22431], [16 ^ [], succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.2.1',plain,[16 ^ [] = succ(15 ^ [16 ^ []]), -(16 ^ [] = succ(17 ^ [])), ordinal(15 ^ [16 ^ []])],extension(5,bind([[_55192], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.2.1.1',plain,[16 ^ [] = succ(17 ^ [])],reduction('1.2.1')).
% 95.50/93.13 cnf('1.2.1.1.1.2.3.3.2.1.2',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.1.1.1.2')).
% 95.50/93.13 cnf('1.2.1.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2',plain,[-(being_limit_ordinal(succ(17 ^ []))), 16 ^ [] = succ(17 ^ []), being_limit_ordinal(16 ^ [])],extension(10,bind([[_23235, _23186], [succ(17 ^ []), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1',plain,[-(16 ^ [] = succ(17 ^ [])), being_limit_ordinal(16 ^ [])],extension(4)).
% 95.50/93.13 cnf('1.2.2.1.1',plain,[-(being_limit_ordinal(16 ^ [])), ordinal(16 ^ []), -(in(15 ^ [16 ^ []], 16 ^ []))],extension(28,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.1.1.2',plain,[in(15 ^ [16 ^ []], 16 ^ []), ordinal(15 ^ [16 ^ []]), ordinal(16 ^ []), -(ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(25,bind([[_44636, _44731], [15 ^ [16 ^ []], 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.1',plain,[-(ordinal(15 ^ [16 ^ []])), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(27,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.1.1.2.1.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.2.1')).
% 95.50/93.13 cnf('1.2.2.1.1.2.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.1.1.2.3',plain,[ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), ordinal(succ(15 ^ [16 ^ []])), -(subset(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(22,bind([[_42106, _42161], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.2',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), epsilon_transitive(succ(15 ^ [16 ^ []])), epsilon_connected(succ(15 ^ [16 ^ []]))],extension(16,bind([[_33283], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.2.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(19,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.2.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.2.1.1.2')).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.2.2',plain,[-(epsilon_connected(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(20,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.2.2.1',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.2.1.1.2')).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3',plain,[subset(succ(15 ^ [16 ^ []]), 16 ^ []), -(proper_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), -(succ(15 ^ [16 ^ []]) = 16 ^ [])],extension(18,bind([[_34873, _34926], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1',plain,[proper_subset(succ(15 ^ [16 ^ []]), 16 ^ []), epsilon_transitive(succ(15 ^ [16 ^ []])), ordinal(16 ^ []), -(in(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(24,bind([[_43832, _43925], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(succ(15 ^ [16 ^ []]))],extension(14,bind([[_32363], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1.1.1',plain,[-(ordinal(succ(15 ^ [16 ^ []])))],lemmata('1.2.2.1.1.2.3')).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1.3',plain,[in(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(29,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.1.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.2.1')).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.2',plain,[succ(15 ^ [16 ^ []]) = 16 ^ [], -(16 ^ [] = succ(15 ^ [16 ^ []]))],extension(9,bind([[_22476, _22431], [16 ^ [], succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.2.1',plain,[16 ^ [] = succ(15 ^ [16 ^ []]), -(16 ^ [] = succ(17 ^ [])), ordinal(15 ^ [16 ^ []])],extension(5,bind([[_55192], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.2.1.1',plain,[16 ^ [] = succ(17 ^ [])],reduction('1.2.2')).
% 95.50/93.13 cnf('1.2.2.1.1.2.3.3.2.1.2',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.2.1.1.2')).
% 95.50/93.13 cnf('1.2.2.2',plain,[-(being_limit_ordinal(16 ^ [])), ordinal(16 ^ []), -(ordinal(15 ^ [16 ^ []]))],extension(27,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.2.2',plain,[ordinal(15 ^ [16 ^ []]), -(ordinal(17 ^ [])), 16 ^ [] = succ(15 ^ [16 ^ []])],extension(3,bind([[_55192], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.2.2.1',plain,[ordinal(17 ^ []), -(16 ^ [] = succ(17 ^ [])), 16 ^ [] = succ(17 ^ [])],extension(5,bind([[_55192], [17 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.1.1',plain,[16 ^ [] = succ(17 ^ []), -(being_limit_ordinal(16 ^ [])), ordinal(17 ^ [])],extension(6,bind([[_55192], [17 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.1.1.1',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.1.1.2',plain,[-(ordinal(17 ^ []))],reduction('1.2.2.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.1.2',plain,[-(16 ^ [] = succ(17 ^ []))],lemmata('1.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.2',plain,[-(16 ^ [] = succ(15 ^ [16 ^ []])), succ(15 ^ [16 ^ []]) = 16 ^ []],extension(9,bind([[_22431, _22476], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1',plain,[-(succ(15 ^ [16 ^ []]) = 16 ^ []), -(proper_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), subset(succ(15 ^ [16 ^ []]), 16 ^ [])],extension(18,bind([[_34873, _34926], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1',plain,[proper_subset(succ(15 ^ [16 ^ []]), 16 ^ []), epsilon_transitive(succ(15 ^ [16 ^ []])), ordinal(16 ^ []), -(in(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(24,bind([[_43832, _43925], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(succ(15 ^ [16 ^ []]))],extension(14,bind([[_32363], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.1.1',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(21,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.1.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.2.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.3',plain,[in(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(29,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.1.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2',plain,[-(subset(succ(15 ^ [16 ^ []]), 16 ^ [])), ordinal(16 ^ []), ordinal(succ(15 ^ [16 ^ []])), ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ [])],extension(22,bind([[_42106, _42161], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.2',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), epsilon_transitive(succ(15 ^ [16 ^ []])), epsilon_connected(succ(15 ^ [16 ^ []]))],extension(16,bind([[_33283], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.2.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(19,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.2.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.2.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.2.2',plain,[-(epsilon_connected(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(20,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.2.2.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.2.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.3',plain,[-(ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), ordinal(15 ^ [16 ^ []]), ordinal(16 ^ []), in(15 ^ [16 ^ []], 16 ^ [])],extension(25,bind([[_44636, _44731], [15 ^ [16 ^ []], 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.3.1',plain,[-(ordinal(15 ^ [16 ^ []]))],reduction('1.2.2.2')).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.3.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.3.3',plain,[-(in(15 ^ [16 ^ []], 16 ^ [])), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(28,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.3.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.2.2.2.2.1.2.3.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.2')).
% 95.50/93.13 cnf('1.2.3',plain,[-(ordinal(succ(17 ^ [])))],lemmata('1.2')).
% 95.50/93.13 cnf('1.2.4',plain,[-(in(succ(17 ^ []), succ(17 ^ []))), ordinal(succ(17 ^ [])), being_limit_ordinal(succ(17 ^ [])), ordinal(17 ^ []), in(17 ^ [], succ(17 ^ []))],extension(30,bind([[_45555, _45417], [17 ^ [], succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.2.4.1',plain,[-(ordinal(succ(17 ^ [])))],lemmata('1.2')).
% 95.50/93.13 cnf('1.2.4.2',plain,[-(being_limit_ordinal(succ(17 ^ [])))],lemmata('1.2')).
% 95.50/93.13 cnf('1.2.4.3',plain,[-(ordinal(17 ^ [])), being_limit_ordinal(16 ^ [])],extension(2)).
% 95.50/93.13 cnf('1.2.4.3.1',plain,[-(being_limit_ordinal(16 ^ [])), ordinal(16 ^ []), -(in(15 ^ [16 ^ []], 16 ^ []))],extension(28,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.4.3.1.2',plain,[in(15 ^ [16 ^ []], 16 ^ []), ordinal(15 ^ [16 ^ []]), ordinal(16 ^ []), -(ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(25,bind([[_44636, _44731], [15 ^ [16 ^ []], 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.1',plain,[-(ordinal(15 ^ [16 ^ []])), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(27,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.1.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.4.3.1.2.1.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.4.3')).
% 95.50/93.13 cnf('1.2.4.3.1.2.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.4.3.1.2.3',plain,[ordinal_subset(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), ordinal(succ(15 ^ [16 ^ []])), -(subset(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(22,bind([[_42106, _42161], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.2',plain,[-(ordinal(succ(15 ^ [16 ^ []]))), epsilon_transitive(succ(15 ^ [16 ^ []])), epsilon_connected(succ(15 ^ [16 ^ []]))],extension(16,bind([[_33283], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.2.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(19,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.2.1.1',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.4.3.1.2')).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.2.2',plain,[-(epsilon_connected(succ(15 ^ [16 ^ []]))), ordinal(15 ^ [16 ^ []])],extension(20,bind([[_37232], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.2.2.1',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.4.3.1.2')).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3',plain,[subset(succ(15 ^ [16 ^ []]), 16 ^ []), -(proper_subset(succ(15 ^ [16 ^ []]), 16 ^ [])), -(succ(15 ^ [16 ^ []]) = 16 ^ [])],extension(18,bind([[_34873, _34926], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1',plain,[proper_subset(succ(15 ^ [16 ^ []]), 16 ^ []), epsilon_transitive(succ(15 ^ [16 ^ []])), ordinal(16 ^ []), -(in(succ(15 ^ [16 ^ []]), 16 ^ []))],extension(24,bind([[_43832, _43925], [succ(15 ^ [16 ^ []]), 16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1.1',plain,[-(epsilon_transitive(succ(15 ^ [16 ^ []]))), ordinal(succ(15 ^ [16 ^ []]))],extension(14,bind([[_32363], [succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1.1.1',plain,[-(ordinal(succ(15 ^ [16 ^ []])))],lemmata('1.2.4.3.1.2.3')).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1.2',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1.3',plain,[in(succ(15 ^ [16 ^ []]), 16 ^ []), ordinal(16 ^ []), -(being_limit_ordinal(16 ^ []))],extension(29,bind([[_45417], [16 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1.3.1',plain,[-(ordinal(16 ^ []))],extension(1)).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.1.3.2',plain,[being_limit_ordinal(16 ^ [])],reduction('1.2.4.3')).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.2',plain,[succ(15 ^ [16 ^ []]) = 16 ^ [], -(16 ^ [] = succ(15 ^ [16 ^ []]))],extension(9,bind([[_22476, _22431], [16 ^ [], succ(15 ^ [16 ^ []])]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.2.1',plain,[16 ^ [] = succ(15 ^ [16 ^ []]), -(ordinal(17 ^ [])), ordinal(15 ^ [16 ^ []])],extension(3,bind([[_55192], [15 ^ [16 ^ []]]]))).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.2.1.1',plain,[ordinal(17 ^ [])],reduction('1.2.4')).
% 95.50/93.13 cnf('1.2.4.3.1.2.3.3.2.1.2',plain,[-(ordinal(15 ^ [16 ^ []]))],lemmata('1.2.4.3.1.2')).
% 95.50/93.13 cnf('1.2.4.4',plain,[-(in(17 ^ [], succ(17 ^ []))), in(17 ^ [], succ(17 ^ [])), 17 ^ [] = 17 ^ [], succ(17 ^ []) = succ(17 ^ [])],extension(11,bind([[_25455, _25522, _25588, _25653], [17 ^ [], 17 ^ [], succ(17 ^ []), succ(17 ^ [])]]))).
% 95.50/93.13 cnf('1.2.4.4.1',plain,[-(in(17 ^ [], succ(17 ^ [])))],extension(23,bind([[_43116], [17 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.4.2',plain,[-(17 ^ [] = 17 ^ [])],extension(8,bind([[_22278], [17 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.4.3',plain,[-(succ(17 ^ []) = succ(17 ^ [])), 17 ^ [] = 17 ^ []],extension(7,bind([[_31083, _31132], [17 ^ [], 17 ^ []]]))).
% 95.50/93.13 cnf('1.2.4.4.3.1',plain,[-(17 ^ [] = 17 ^ [])],extension(8,bind([[_22278], [17 ^ []]]))).
% 95.50/93.13 %-----------------------------------------------------
% 95.50/93.14
% 95.50/93.14 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------