TSTP Solution File: SEU235+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 80.50s 78.29s
% Output : Proof 80.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jun 19 02:44:44 EDT 2022
% 0.15/0.35 % CPUTime :
% 80.50/78.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.50/78.30 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 80.50/78.30
% 80.50/78.30 %-----------------------------------------------------
% 80.50/78.30 fof(t32_ordinal1, conjecture, ! [_67392, _67395] : (ordinal(_67395) => ~ (subset(_67392, _67395) & (! _67392) = empty_set & ! [_67430] : (ordinal(_67430) => ~ (in(_67430, _67392) & ! [_67457] : (ordinal(_67457) => in(_67457, _67392) => ordinal_subset(_67430, _67457)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t32_ordinal1)).
% 80.50/78.30 fof(antisymmetry_r2_hidden, axiom, ! [_67866, _67869] : (in(_67866, _67869) => ~ in(_67869, _67866)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 80.50/78.30 fof(cc1_ordinal1, axiom, ! [_68020] : (ordinal(_68020) => epsilon_transitive(_68020) & epsilon_connected(_68020)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_ordinal1)).
% 80.50/78.30 fof(connectedness_r1_ordinal1, axiom, ! [_68169, _68172] : (ordinal(_68169) & ordinal(_68172) => ordinal_subset(_68169, _68172) | ordinal_subset(_68172, _68169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', connectedness_r1_ordinal1)).
% 80.50/78.30 fof(d2_ordinal1, axiom, ! [_68359] : (epsilon_transitive(_68359) <=> ! [_68374] : (in(_68374, _68359) => subset(_68374, _68359))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_ordinal1)).
% 80.50/78.30 fof(existence_m1_subset_1, axiom, ! [_68545] : ? [_68553] : element(_68553, _68545), file('/export/starexec/sandbox/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 80.50/78.30 fof(redefinition_r1_ordinal1, axiom, ! [_68730, _68733] : (ordinal(_68730) & ordinal(_68733) => (ordinal_subset(_68730, _68733) <=> subset(_68730, _68733))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_ordinal1)).
% 80.50/78.30 fof(t23_ordinal1, axiom, ! [_68921, _68924] : (ordinal(_68924) => in(_68921, _68924) => ordinal(_68921)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t23_ordinal1)).
% 80.50/78.30 fof(t24_ordinal1, axiom, ! [_69081] : (ordinal(_69081) => ! [_69096] : (ordinal(_69096) => ~ (~ in(_69081, _69096) & (! _69081) = _69096 & ~ in(_69096, _69081)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_ordinal1)).
% 80.50/78.30 fof(t2_subset, axiom, ! [_69340, _69343] : (element(_69340, _69343) => empty(_69343) | in(_69340, _69343)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_subset)).
% 80.50/78.30 fof(t3_subset, axiom, ! [_69508, _69511] : (element(_69508, powerset(_69511)) <=> subset(_69508, _69511)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 80.50/78.30 fof(t4_subset, axiom, ! [_69663, _69666, _69669] : (in(_69663, _69666) & element(_69666, powerset(_69669)) => element(_69663, _69669)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_subset)).
% 80.50/78.30 fof(t5_subset, axiom, ! [_69857, _69860, _69863] : ~ (in(_69857, _69860) & element(_69860, powerset(_69863)) & empty(_69863)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_subset)).
% 80.50/78.30 fof(t6_boole, axiom, ! [_70051] : (empty(_70051) => _70051 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t6_boole)).
% 80.50/78.30 fof(t7_tarski, axiom, ! [_70176, _70179] : ~ (in(_70176, _70179) & ! [_70199] : ~ (in(_70199, _70179) & ! [_70219] : ~ (in(_70219, _70179) & in(_70219, _70199)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_tarski)).
% 80.50/78.30
% 80.50/78.30 cnf(1, plain, [-(ordinal(17 ^ []))], clausify(t32_ordinal1)).
% 80.50/78.30 cnf(2, plain, [-(subset(16 ^ [], 17 ^ []))], clausify(t32_ordinal1)).
% 80.50/78.30 cnf(3, plain, [16 ^ [] = empty_set], clausify(t32_ordinal1)).
% 80.50/78.30 cnf(4, plain, [ordinal(_43994), in(_43994, 16 ^ []), -(ordinal(18 ^ [_43994]))], clausify(t32_ordinal1)).
% 80.50/78.30 cnf(5, plain, [ordinal(_43994), in(_43994, 16 ^ []), -(in(18 ^ [_43994], 16 ^ []))], clausify(t32_ordinal1)).
% 80.50/78.30 cnf(6, plain, [ordinal(_43994), in(_43994, 16 ^ []), ordinal_subset(_43994, 18 ^ [_43994])], clausify(t32_ordinal1)).
% 80.50/78.30 cnf(7, plain, [-(_18006 = _18006)], theory(equality)).
% 80.50/78.30 cnf(8, plain, [-(in(_20921, _21052)), in(_20854, _20987), _20854 = _20921, _20987 = _21052], theory(equality)).
% 80.50/78.30 cnf(9, plain, [-(ordinal_subset(_22203, _22334)), ordinal_subset(_22136, _22269), _22136 = _22203, _22269 = _22334], theory(equality)).
% 80.50/78.30 cnf(10, plain, [in(_24567, _24614), in(_24614, _24567)], clausify(antisymmetry_r2_hidden)).
% 80.50/78.30 cnf(11, plain, [ordinal(_25107), -(epsilon_transitive(_25107))], clausify(cc1_ordinal1)).
% 80.50/78.30 cnf(12, plain, [ordinal(_26676), ordinal(_26621), -(ordinal_subset(_26621, _26676)), -(ordinal_subset(_26676, _26621))], clausify(connectedness_r1_ordinal1)).
% 80.50/78.30 cnf(13, plain, [epsilon_transitive(_27057), in(_27145, _27057), -(subset(_27145, _27057))], clausify(d2_ordinal1)).
% 80.50/78.30 cnf(14, plain, [-(element(2 ^ [_27824], _27824))], clausify(existence_m1_subset_1)).
% 80.50/78.30 cnf(15, plain, [ordinal(_32190), ordinal(_32135), -(ordinal_subset(_32135, _32190)), subset(_32135, _32190)], clausify(redefinition_r1_ordinal1)).
% 80.50/78.30 cnf(16, plain, [ordinal(_33504), in(_33455, _33504), -(ordinal(_33455))], clausify(t23_ordinal1)).
% 80.50/78.30 cnf(17, plain, [ordinal(_33805), ordinal(_33912), -(in(_33805, _33912)), -(_33805 = _33912), -(in(_33912, _33805))], clausify(t24_ordinal1)).
% 80.50/78.30 cnf(18, plain, [element(_34402, _34452), -(empty(_34452)), -(in(_34402, _34452))], clausify(t2_subset)).
% 80.50/78.30 cnf(19, plain, [-(element(_34775, powerset(_34822))), subset(_34775, _34822)], clausify(t3_subset)).
% 80.50/78.30 cnf(20, plain, [-(element(_35105, _35220)), in(_35105, _35163), element(_35163, powerset(_35220))], clausify(t4_subset)).
% 80.50/78.30 cnf(21, plain, [in(_35594, _35653), element(_35653, powerset(_35711)), empty(_35711)], clausify(t5_subset)).
% 80.50/78.30 cnf(22, plain, [empty(_36081), -(_36081 = empty_set)], clausify(t6_boole)).
% 80.50/78.30 cnf(23, plain, [in(_36620, _36693), -(in(15 ^ [_36693, _36620], _36693))], clausify(t7_tarski)).
% 80.50/78.30 cnf(24, plain, [in(_36620, _36693), in(_43454, _36693), in(_43454, 15 ^ [_36693, _36620])], clausify(t7_tarski)).
% 80.50/78.30
% 80.50/78.30 cnf('1',plain,[16 ^ [] = empty_set],start(3)).
% 80.50/78.30 cnf('1.1',plain,[-(16 ^ [] = empty_set), empty(16 ^ [])],extension(22,bind([[_36081], [16 ^ []]]))).
% 80.50/78.30 cnf('1.1.1',plain,[-(empty(16 ^ [])), element(2 ^ [16 ^ []], 16 ^ []), -(in(2 ^ [16 ^ []], 16 ^ []))],extension(18,bind([[_34402, _34452], [2 ^ [16 ^ []], 16 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.1',plain,[-(element(2 ^ [16 ^ []], 16 ^ []))],extension(14,bind([[_27824], [16 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2',plain,[in(2 ^ [16 ^ []], 16 ^ []), -(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []))],extension(23,bind([[_36620, _36693], [2 ^ [16 ^ []], 16 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1',plain,[in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []), ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]), -(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],extension(4,bind([[_43994], [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1',plain,[-(ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]])), ordinal(17 ^ []), in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 17 ^ [])],extension(16,bind([[_33455, _33504], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 17 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1.1',plain,[-(ordinal(17 ^ []))],extension(1)).
% 80.50/78.30 cnf('1.1.1.2.1.1.2',plain,[-(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 17 ^ [])), element(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 17 ^ []), -(empty(17 ^ []))],extension(18,bind([[_34402, _34452], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 17 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.1',plain,[-(element(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 17 ^ [])), in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []), element(16 ^ [], powerset(17 ^ []))],extension(20,bind([[_35105, _35163, _35220], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ [], 17 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.1.1',plain,[-(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []))],reduction('1.1.1.2')).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.1.2',plain,[-(element(16 ^ [], powerset(17 ^ []))), subset(16 ^ [], 17 ^ [])],extension(19,bind([[_34775, _34822], [16 ^ [], 17 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.1.2.1',plain,[-(subset(16 ^ [], 17 ^ []))],extension(2)).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.2',plain,[empty(17 ^ []), in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []), element(16 ^ [], powerset(17 ^ []))],extension(21,bind([[_35594, _35653, _35711], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ [], 17 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.2.1',plain,[-(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []))],reduction('1.1.1.2')).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.2.2',plain,[-(element(16 ^ [], powerset(17 ^ []))), subset(16 ^ [], 17 ^ [])],extension(19,bind([[_34775, _34822], [16 ^ [], 17 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.1.2.2.2.1',plain,[-(subset(16 ^ [], 17 ^ []))],extension(2)).
% 80.50/78.30 cnf('1.1.1.2.1.2',plain,[ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), -(in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), -(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), -(in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],extension(17,bind([[_33912, _33805], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.1',plain,[-(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],reduction('1.1.1.2.1')).
% 80.50/78.30 cnf('1.1.1.2.1.2.2',plain,[in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), -(in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]],extension(8,bind([[_20854, _20921, _20987, _21052], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.2.1',plain,[in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(10,bind([[_24614, _24567], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.2.1.1',plain,[-(in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],reduction('1.1.1.2.1.2.2')).
% 80.50/78.30 cnf('1.1.1.2.1.2.2.2',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(7,bind([[_18006], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.2.3',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(7,bind([[_18006], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3',plain,[18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], -(ordinal_subset(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 15 ^ [16 ^ [], 2 ^ [16 ^ []]]],extension(9,bind([[_22334, _22269, _22136, _22203], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.1',plain,[ordinal_subset(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]), in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ [])],extension(6,bind([[_43994], [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.1.1',plain,[-(ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]))],lemmata('1.1.1.2.1')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.1.2',plain,[-(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []))],reduction('1.1.1.2')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2',plain,[-(ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]],extension(9,bind([[_22136, _22203, _22269, _22334], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1',plain,[-(ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]],extension(9,bind([[_22136, _22203, _22269, _22334], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1.1',plain,[-(ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), -(ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],extension(12,bind([[_26676, _26621], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1.1.1',plain,[-(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],lemmata('1.1.1.2.1.2')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1.1.2',plain,[-(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],lemmata('1.1.1.2.1.2.3.2.1.1')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1.1.3',plain,[ordinal_subset(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],reduction('1.1.1.2.1.2.3.2.1')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1.2',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(7,bind([[_18006], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.1.3',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(7,bind([[_18006], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.2',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(7,bind([[_18006], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.2.3',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(7,bind([[_18006], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3',plain,[-(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]] = 15 ^ [16 ^ [], 2 ^ [16 ^ []]]), ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]), -(in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 15 ^ [16 ^ [], 2 ^ [16 ^ []]])), -(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],extension(17,bind([[_33912, _33805], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.1',plain,[-(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],lemmata('1.1.1.2.1.2')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.2',plain,[-(ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]))],lemmata('1.1.1.2.1')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.3',plain,[in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 15 ^ [16 ^ [], 2 ^ [16 ^ []]]), in(2 ^ [16 ^ []], 16 ^ []), in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 16 ^ [])],extension(24,bind([[_36620, _43454, _36693], [2 ^ [16 ^ []], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 16 ^ []]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.3.1',plain,[-(in(2 ^ [16 ^ []], 16 ^ []))],reduction('1.1.1')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.3.2',plain,[-(in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 16 ^ [])), ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]), in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ [])],extension(5,bind([[_43994], [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.3.2.1',plain,[-(ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.3.2.2',plain,[-(in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 16 ^ []))],reduction('1.1.1.2')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4',plain,[in(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), epsilon_transitive(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), -(subset(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],extension(13,bind([[_27145, _27057], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4.1',plain,[-(epsilon_transitive(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])), ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],extension(11,bind([[_25107], [18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4.1.1',plain,[-(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4.2',plain,[subset(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]), ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]), -(ordinal_subset(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],extension(15,bind([[_32135, _32190], [15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]]]))).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4.2.1',plain,[-(ordinal(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4.2.2',plain,[-(ordinal(15 ^ [16 ^ [], 2 ^ [16 ^ []]]))],lemmata('1.1.1.2.1.2.3.3')).
% 80.50/78.30 cnf('1.1.1.2.1.2.3.3.4.2.3',plain,[ordinal_subset(15 ^ [16 ^ [], 2 ^ [16 ^ []]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],lemmata('1.1.1.2.1.2.3')).
% 80.50/78.30 cnf('1.1.1.2.1.2.4',plain,[in(18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]], 18 ^ [15 ^ [16 ^ [], 2 ^ [16 ^ []]]])],lemmata('1.1.1.2.1.2')).
% 80.50/78.30 %-----------------------------------------------------
% 80.50/78.31
% 80.50/78.31 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------