TSTP Solution File: LAT313+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n017.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 : Sun Jul 17 05:42:36 EDT 2022

% Result   : Theorem 97.52s 95.35s
% Output   : Proof 97.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n017.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 : Tue Jun 28 19:59:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 97.52/95.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 97.52/95.36  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 97.52/95.36  
% 97.52/95.36  %-----------------------------------------------------
% 97.52/95.36  fof(t43_filter_2, conjecture, ! [_97715] : (~ v3_struct_0(_97715) & v10_lattices(_97715) & l3_lattices(_97715) => ! [_97746] : (m2_filter_2(_97746, _97715) => v14_lattices(_97715) & r2_hidden(k6_lattices(_97715), _97746) => r1_filter_2(u1_struct_0(_97715), _97746, k17_filter_2(_97715)) & _97746 = u1_struct_0(_97715))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t43_filter_2)).
% 97.52/95.36  fof(d8_filter_2, axiom, ! [_98236] : (~ v3_struct_0(_98236) & v10_lattices(_98236) & l3_lattices(_98236) => k17_filter_2(_98236) = u1_struct_0(_98236)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d8_filter_2)).
% 97.52/95.36  fof(dt_k19_filter_2, axiom, ! [_98428, _98431] : (~ v3_struct_0(_98428) & v10_lattices(_98428) & l3_lattices(_98428) & ~ v1_xboole_0(_98431) & m1_subset_1(_98431, k1_zfmisc_1(u1_struct_0(_98428))) => m2_filter_2(k19_filter_2(_98428, _98431), _98428)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k19_filter_2)).
% 97.52/95.36  fof(dt_l1_lattices, axiom, ! [_98707] : (l1_lattices(_98707) => l1_struct_0(_98707)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_l1_lattices)).
% 97.52/95.36  fof(dt_l3_lattices, axiom, ! [_98829] : (l3_lattices(_98829) => l1_lattices(_98829) & l2_lattices(_98829)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_l3_lattices)).
% 97.52/95.36  fof(dt_m2_filter_2, axiom, ! [_98972] : (~ v3_struct_0(_98972) & v10_lattices(_98972) & l3_lattices(_98972) => ! [_99003] : (m2_filter_2(_99003, _98972) => ~ v1_xboole_0(_99003) & m2_lattice4(_99003, _98972))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_m2_filter_2)).
% 97.52/95.36  fof(dt_m2_lattice4, axiom, ! [_99247] : (~ v3_struct_0(_99247) & v10_lattices(_99247) & l3_lattices(_99247) => ! [_99278] : (m2_lattice4(_99278, _99247) => m1_subset_1(_99278, k1_zfmisc_1(u1_struct_0(_99247))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_m2_lattice4)).
% 97.52/95.36  fof(fc1_struct_0, axiom, ! [_99507] : (~ v3_struct_0(_99507) & l1_struct_0(_99507) => ~ v1_xboole_0(u1_struct_0(_99507))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_struct_0)).
% 97.52/95.36  fof(redefinition_r1_filter_2, axiom, ! [_99686, _99689, _99692] : (~ v1_xboole_0(_99686) & m1_subset_1(_99689, k1_zfmisc_1(_99686)) & m1_subset_1(_99692, k1_zfmisc_1(_99686)) => (r1_filter_2(_99686, _99689, _99692) <=> _99689 = _99692)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', redefinition_r1_filter_2)).
% 97.52/95.36  fof(reflexivity_r1_tarski, axiom, ! [_99950, _99953] : r1_tarski(_99950, _99950), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 97.52/95.36  fof(t38_filter_2, axiom, ! [_100071] : (~ v3_struct_0(_100071) & v10_lattices(_100071) & l3_lattices(_100071) => ! [_100102] : (m2_filter_2(_100102, _100071) => r1_filter_2(u1_struct_0(_100071), k19_filter_2(_100071, _100102), _100102))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t38_filter_2)).
% 97.52/95.36  fof(t3_subset, axiom, ! [_100339, _100342] : (m1_subset_1(_100339, k1_zfmisc_1(_100342)) <=> r1_tarski(_100339, _100342)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_subset)).
% 97.52/95.36  fof(t42_filter_2, axiom, ! [_100494] : (~ v3_struct_0(_100494) & v10_lattices(_100494) & l3_lattices(_100494) => ! [_100525] : (~ v1_xboole_0(_100525) & m1_subset_1(_100525, k1_zfmisc_1(u1_struct_0(_100494))) => v14_lattices(_100494) & r2_hidden(k6_lattices(_100494), _100525) => r1_filter_2(u1_struct_0(_100494), k19_filter_2(_100494, _100525), k17_filter_2(_100494)) & k19_filter_2(_100494, _100525) = u1_struct_0(_100494))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t42_filter_2)).
% 97.52/95.36  fof(t5_subset, axiom, ! [_100925, _100928, _100931] : ~ (r2_hidden(_100925, _100928) & m1_subset_1(_100928, k1_zfmisc_1(_100931)) & v1_xboole_0(_100931)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t5_subset)).
% 97.52/95.36  
% 97.52/95.36  cnf(1, plain, [v3_struct_0(15 ^ [])], clausify(t43_filter_2)).
% 97.52/95.36  cnf(2, plain, [-(v10_lattices(15 ^ []))], clausify(t43_filter_2)).
% 97.52/95.36  cnf(3, plain, [-(l3_lattices(15 ^ []))], clausify(t43_filter_2)).
% 97.52/95.36  cnf(4, plain, [-(m2_filter_2(16 ^ [], 15 ^ []))], clausify(t43_filter_2)).
% 97.52/95.36  cnf(5, plain, [-(v14_lattices(15 ^ []))], clausify(t43_filter_2)).
% 97.52/95.36  cnf(6, plain, [-(r2_hidden(k6_lattices(15 ^ []), 16 ^ []))], clausify(t43_filter_2)).
% 97.52/95.36  cnf(7, plain, [r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], k17_filter_2(15 ^ [])), 16 ^ [] = u1_struct_0(15 ^ [])], clausify(t43_filter_2)).
% 97.52/95.36  cnf(8, plain, [_34354 = _34403, -(k17_filter_2(_34354) = k17_filter_2(_34403))], theory(equality)).
% 97.52/95.36  cnf(9, plain, [_35955 = _36004, -(u1_struct_0(_35955) = u1_struct_0(_36004))], theory(equality)).
% 97.52/95.36  cnf(10, plain, [-(_24061 = _24061)], theory(equality)).
% 97.52/95.36  cnf(11, plain, [-(m2_lattice4(_27600, _27731)), m2_lattice4(_27533, _27666), _27533 = _27600, _27666 = _27731], theory(equality)).
% 97.52/95.36  cnf(12, plain, [-(r1_filter_2(_28242, _28409, _28572)), r1_filter_2(_28157, _28326, _28491), _28157 = _28242, _28326 = _28409, _28491 = _28572], theory(equality)).
% 97.52/95.36  cnf(13, plain, [-(v1_xboole_0(_31466)), _31417 = _31466, v1_xboole_0(_31417)], theory(equality)).
% 97.52/95.36  cnf(14, plain, [-(k17_filter_2(_38340) = u1_struct_0(_38340)), -(v3_struct_0(_38340)), v10_lattices(_38340), l3_lattices(_38340)], clausify(d8_filter_2)).
% 97.52/95.36  cnf(15, plain, [-(m2_filter_2(k19_filter_2(_39126, _39202), _39126)), -(v3_struct_0(_39126)), v10_lattices(_39126), l3_lattices(_39126), -(v1_xboole_0(_39202)), m1_subset_1(_39202, k1_zfmisc_1(u1_struct_0(_39126)))], clausify(dt_k19_filter_2)).
% 97.52/95.36  cnf(16, plain, [l1_lattices(_40421), -(l1_struct_0(_40421))], clausify(dt_l1_lattices)).
% 97.52/95.36  cnf(17, plain, [l3_lattices(_40974), -(l1_lattices(_40974))], clausify(dt_l3_lattices)).
% 97.52/95.36  cnf(18, plain, [v1_xboole_0(_41604), m2_filter_2(_41604, _41375), -(v3_struct_0(_41375)), v10_lattices(_41375), l3_lattices(_41375)], clausify(dt_m2_filter_2)).
% 97.52/95.36  cnf(19, plain, [-(m2_lattice4(_41604, _41375)), m2_filter_2(_41604, _41375), -(v3_struct_0(_41375)), v10_lattices(_41375), l3_lattices(_41375)], clausify(dt_m2_filter_2)).
% 97.52/95.36  cnf(20, plain, [-(m1_subset_1(_42186, k1_zfmisc_1(u1_struct_0(_41960)))), m2_lattice4(_42186, _41960), -(v3_struct_0(_41960)), v10_lattices(_41960), l3_lattices(_41960)], clausify(dt_m2_lattice4)).
% 97.52/95.36  cnf(21, plain, [v1_xboole_0(u1_struct_0(_44306)), -(v3_struct_0(_44306)), l1_struct_0(_44306)], clausify(fc1_struct_0)).
% 97.52/95.36  cnf(22, plain, [m1_subset_1(_47322, k1_zfmisc_1(_47175)), m1_subset_1(_47249, k1_zfmisc_1(_47175)), -(v1_xboole_0(_47175)), r1_filter_2(_47175, _47249, _47322), -(_47249 = _47322)], clausify(redefinition_r1_filter_2)).
% 97.52/95.36  cnf(23, plain, [-(r1_tarski(_48555, _48555))], clausify(reflexivity_r1_tarski)).
% 97.52/95.36  cnf(24, plain, [-(r1_filter_2(u1_struct_0(_50241), k19_filter_2(_50241, _50469), _50469)), m2_filter_2(_50469, _50241), -(v3_struct_0(_50241)), v10_lattices(_50241), l3_lattices(_50241)], clausify(t38_filter_2)).
% 97.52/95.36  cnf(25, plain, [-(m1_subset_1(_50848, k1_zfmisc_1(_50895))), r1_tarski(_50848, _50895)], clausify(t3_subset)).
% 97.52/95.36  cnf(26, plain, [l3_lattices(_51178), v10_lattices(_51178), -(v3_struct_0(_51178)), m1_subset_1(_51443, k1_zfmisc_1(u1_struct_0(_51178))), -(v1_xboole_0(_51443)), -(r1_filter_2(u1_struct_0(_51178), k19_filter_2(_51178, _51443), k17_filter_2(_51178))), v14_lattices(_51178), r2_hidden(k6_lattices(_51178), _51443)], clausify(t42_filter_2)).
% 97.52/95.36  cnf(27, plain, [r2_hidden(_52735, _52794), m1_subset_1(_52794, k1_zfmisc_1(_52852)), v1_xboole_0(_52852)], clausify(t5_subset)).
% 97.52/95.36  
% 97.52/95.36  cnf('1',plain,[v3_struct_0(15 ^ [])],start(1)).
% 97.52/95.36  cnf('1.1',plain,[-(v3_struct_0(15 ^ [])), l3_lattices(15 ^ []), v10_lattices(15 ^ []), m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ []))), -(v1_xboole_0(16 ^ [])), -(r1_filter_2(u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []), k17_filter_2(15 ^ []))), v14_lattices(15 ^ []), r2_hidden(k6_lattices(15 ^ []), 16 ^ [])],extension(26,bind([[_51178, _51443], [15 ^ [], 16 ^ []]]))).
% 97.52/95.36  cnf('1.1.1',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.2',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.3',plain,[-(m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ [])))), m2_lattice4(16 ^ [], 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(20,bind([[_42186, _41960], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1',plain,[-(m2_lattice4(16 ^ [], 15 ^ [])), m2_lattice4(16 ^ [], 15 ^ []), 16 ^ [] = 16 ^ [], 15 ^ [] = 15 ^ []],extension(11,bind([[_27533, _27600, _27666, _27731], [16 ^ [], 16 ^ [], 15 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1',plain,[-(m2_lattice4(16 ^ [], 15 ^ [])), m2_lattice4(16 ^ [], 15 ^ []), 16 ^ [] = 16 ^ [], 15 ^ [] = 15 ^ []],extension(11,bind([[_27533, _27600, _27666, _27731], [16 ^ [], 16 ^ [], 15 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1.1',plain,[-(m2_lattice4(16 ^ [], 15 ^ [])), m2_lattice4(16 ^ [], 15 ^ []), 16 ^ [] = 16 ^ [], 15 ^ [] = 15 ^ []],extension(11,bind([[_27533, _27600, _27666, _27731], [16 ^ [], 16 ^ [], 15 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1.1.1',plain,[-(m2_lattice4(16 ^ [], 15 ^ [])), m2_filter_2(16 ^ [], 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(19,bind([[_41604, _41375], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1.1.1.1',plain,[-(m2_filter_2(16 ^ [], 15 ^ []))],extension(4)).
% 97.52/95.36  cnf('1.1.3.1.1.1.1.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.3.1.1.1.1.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.3.1.1.1.1.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.3.1.1.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(10,bind([[_24061], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(10,bind([[_24061], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(10,bind([[_24061], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.3.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.3.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.3.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.4',plain,[v1_xboole_0(16 ^ []), -(v1_xboole_0(16 ^ [])), 16 ^ [] = 16 ^ []],extension(13,bind([[_31417, _31466], [16 ^ [], 16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1',plain,[v1_xboole_0(16 ^ []), -(v1_xboole_0(16 ^ [])), 16 ^ [] = 16 ^ []],extension(13,bind([[_31417, _31466], [16 ^ [], 16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1.1',plain,[v1_xboole_0(16 ^ []), -(v1_xboole_0(16 ^ [])), 16 ^ [] = 16 ^ []],extension(13,bind([[_31417, _31466], [16 ^ [], 16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1.1.1',plain,[v1_xboole_0(16 ^ []), -(v1_xboole_0(16 ^ [])), 16 ^ [] = 16 ^ []],extension(13,bind([[_31417, _31466], [16 ^ [], 16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1.1.1.1',plain,[v1_xboole_0(16 ^ []), m2_filter_2(16 ^ [], 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(18,bind([[_41604, _41375], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1.1.1.1.1',plain,[-(m2_filter_2(16 ^ [], 15 ^ []))],extension(4)).
% 97.52/95.36  cnf('1.1.4.1.1.1.1.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.4.1.1.1.1.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.4.1.1.1.1.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.4.1.1.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.4.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.5',plain,[r1_filter_2(u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []), k17_filter_2(15 ^ [])), -(r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], k17_filter_2(15 ^ []))), u1_struct_0(15 ^ []) = u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []) = 16 ^ [], k17_filter_2(15 ^ []) = k17_filter_2(15 ^ [])],extension(12,bind([[_28157, _28242, _28326, _28409, _28491, _28572], [u1_struct_0(15 ^ []), u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []), 16 ^ [], k17_filter_2(15 ^ []), k17_filter_2(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1',plain,[r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], k17_filter_2(15 ^ [])), 16 ^ [] = u1_struct_0(15 ^ [])],extension(7)).
% 97.52/95.36  cnf('1.1.5.1.1',plain,[-(16 ^ [] = u1_struct_0(15 ^ [])), m1_subset_1(u1_struct_0(15 ^ []), k1_zfmisc_1(u1_struct_0(15 ^ []))), m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ []))), -(v1_xboole_0(u1_struct_0(15 ^ []))), r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], u1_struct_0(15 ^ []))],extension(22,bind([[_47175, _47249, _47322], [u1_struct_0(15 ^ []), 16 ^ [], u1_struct_0(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1.1.1',plain,[-(m1_subset_1(u1_struct_0(15 ^ []), k1_zfmisc_1(u1_struct_0(15 ^ [])))), r1_tarski(u1_struct_0(15 ^ []), u1_struct_0(15 ^ []))],extension(25,bind([[_50848, _50895], [u1_struct_0(15 ^ []), u1_struct_0(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1.1.1.1',plain,[-(r1_tarski(u1_struct_0(15 ^ []), u1_struct_0(15 ^ [])))],extension(23,bind([[_48555], [u1_struct_0(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1.1.2',plain,[-(m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ []))))],lemmata('1.1')).
% 97.52/95.36  cnf('1.1.5.1.1.3',plain,[v1_xboole_0(u1_struct_0(15 ^ [])), r2_hidden(k6_lattices(15 ^ []), 16 ^ []), m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ [])))],extension(27,bind([[_52735, _52794, _52852], [k6_lattices(15 ^ []), 16 ^ [], u1_struct_0(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1.1.3.1',plain,[-(r2_hidden(k6_lattices(15 ^ []), 16 ^ []))],extension(6)).
% 97.52/95.36  cnf('1.1.5.1.1.3.2',plain,[-(m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ []))))],lemmata('1.1.5.1.1')).
% 97.52/95.36  cnf('1.1.5.1.1.4',plain,[-(r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], u1_struct_0(15 ^ []))), r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], k17_filter_2(15 ^ [])), u1_struct_0(15 ^ []) = u1_struct_0(15 ^ []), 16 ^ [] = 16 ^ [], k17_filter_2(15 ^ []) = u1_struct_0(15 ^ [])],extension(12,bind([[_28157, _28242, _28326, _28409, _28491, _28572], [u1_struct_0(15 ^ []), u1_struct_0(15 ^ []), 16 ^ [], 16 ^ [], k17_filter_2(15 ^ []), u1_struct_0(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1.1.4.1',plain,[-(r1_filter_2(u1_struct_0(15 ^ []), 16 ^ [], k17_filter_2(15 ^ [])))],reduction('1.1.5')).
% 97.52/95.36  cnf('1.1.5.1.1.4.2',plain,[-(u1_struct_0(15 ^ []) = u1_struct_0(15 ^ []))],extension(10,bind([[_24061], [u1_struct_0(15 ^ [])]]))).
% 97.52/95.36  cnf('1.1.5.1.1.4.3',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.1.1.4.4',plain,[-(k17_filter_2(15 ^ []) = u1_struct_0(15 ^ [])), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(14,bind([[_38340], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.1.1.4.4.1',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.1.1.4.4.2',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.1.1.4.4.3',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.2',plain,[-(u1_struct_0(15 ^ []) = u1_struct_0(15 ^ [])), 15 ^ [] = 15 ^ []],extension(9,bind([[_35955, _36004], [15 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.2.1',plain,[-(15 ^ [] = 15 ^ [])],extension(10,bind([[_24061], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3',plain,[-(k19_filter_2(15 ^ [], 16 ^ []) = 16 ^ []), m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ []))), m1_subset_1(k19_filter_2(15 ^ [], 16 ^ []), k1_zfmisc_1(u1_struct_0(15 ^ []))), -(v1_xboole_0(u1_struct_0(15 ^ []))), r1_filter_2(u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []), 16 ^ [])],extension(22,bind([[_47175, _47249, _47322], [u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []), 16 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.1',plain,[-(m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ [])))), m2_lattice4(16 ^ [], 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(20,bind([[_42186, _41960], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.1.1',plain,[-(m2_lattice4(16 ^ [], 15 ^ [])), m2_lattice4(16 ^ [], 15 ^ []), 16 ^ [] = 16 ^ [], 15 ^ [] = 15 ^ []],extension(11,bind([[_27533, _27600, _27666, _27731], [16 ^ [], 16 ^ [], 15 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.1.1.1',plain,[-(m2_lattice4(16 ^ [], 15 ^ [])), m2_filter_2(16 ^ [], 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(19,bind([[_41604, _41375], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.1.1.1.1',plain,[-(m2_filter_2(16 ^ [], 15 ^ []))],extension(4)).
% 97.52/95.36  cnf('1.1.5.3.1.1.1.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.1.1.1.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.3.1.1.1.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.3.1.1.2',plain,[-(16 ^ [] = 16 ^ [])],extension(10,bind([[_24061], [16 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.1.1.3',plain,[-(15 ^ [] = 15 ^ [])],extension(10,bind([[_24061], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.1.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.1.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.3.1.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.3.2',plain,[-(m1_subset_1(k19_filter_2(15 ^ [], 16 ^ []), k1_zfmisc_1(u1_struct_0(15 ^ [])))), m2_lattice4(k19_filter_2(15 ^ [], 16 ^ []), 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(20,bind([[_42186, _41960], [k19_filter_2(15 ^ [], 16 ^ []), 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.2.1',plain,[-(m2_lattice4(k19_filter_2(15 ^ [], 16 ^ []), 15 ^ [])), m2_filter_2(k19_filter_2(15 ^ [], 16 ^ []), 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(19,bind([[_41604, _41375], [k19_filter_2(15 ^ [], 16 ^ []), 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.2.1.1',plain,[-(m2_filter_2(k19_filter_2(15 ^ [], 16 ^ []), 15 ^ [])), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ []), -(v1_xboole_0(16 ^ [])), m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ [])))],extension(15,bind([[_39202, _39126], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.2.1.1.1',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.2.1.1.2',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.3.2.1.1.3',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.3.2.1.1.4',plain,[v1_xboole_0(16 ^ [])],lemmata('1.1')).
% 97.52/95.36  cnf('1.1.5.3.2.1.1.5',plain,[-(m1_subset_1(16 ^ [], k1_zfmisc_1(u1_struct_0(15 ^ []))))],lemmata('1.1.5.3')).
% 97.52/95.36  cnf('1.1.5.3.2.1.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.2.1.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.3.2.1.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.3.2.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.2.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.3.2.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.3.3',plain,[v1_xboole_0(u1_struct_0(15 ^ [])), -(v3_struct_0(15 ^ [])), l1_struct_0(15 ^ [])],extension(21,bind([[_44306], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.3.1',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.3.2',plain,[-(l1_struct_0(15 ^ [])), l1_lattices(15 ^ [])],extension(16,bind([[_40421], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.3.2.1',plain,[-(l1_lattices(15 ^ [])), l3_lattices(15 ^ [])],extension(17,bind([[_40974], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.3.2.1.1',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.3.4',plain,[-(r1_filter_2(u1_struct_0(15 ^ []), k19_filter_2(15 ^ [], 16 ^ []), 16 ^ [])), m2_filter_2(16 ^ [], 15 ^ []), -(v3_struct_0(15 ^ [])), v10_lattices(15 ^ []), l3_lattices(15 ^ [])],extension(24,bind([[_50469, _50241], [16 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.3.4.1',plain,[-(m2_filter_2(16 ^ [], 15 ^ []))],extension(4)).
% 97.52/95.36  cnf('1.1.5.3.4.2',plain,[v3_struct_0(15 ^ [])],extension(1)).
% 97.52/95.36  cnf('1.1.5.3.4.3',plain,[-(v10_lattices(15 ^ []))],extension(2)).
% 97.52/95.36  cnf('1.1.5.3.4.4',plain,[-(l3_lattices(15 ^ []))],extension(3)).
% 97.52/95.36  cnf('1.1.5.4',plain,[-(k17_filter_2(15 ^ []) = k17_filter_2(15 ^ [])), 15 ^ [] = 15 ^ []],extension(8,bind([[_34354, _34403], [15 ^ [], 15 ^ []]]))).
% 97.52/95.36  cnf('1.1.5.4.1',plain,[-(15 ^ [] = 15 ^ [])],extension(10,bind([[_24061], [15 ^ []]]))).
% 97.52/95.36  cnf('1.1.6',plain,[-(v14_lattices(15 ^ []))],extension(5)).
% 97.52/95.36  cnf('1.1.7',plain,[-(r2_hidden(k6_lattices(15 ^ []), 16 ^ []))],extension(6)).
% 97.52/95.36  %-----------------------------------------------------
% 97.52/95.37  
% 97.52/95.37  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------