%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.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 12:02:54 EDT 2022

% Result   : Theorem 87.55s 85.30s
% Output   : Proof 87.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU430+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n006.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 : Mon Jun 20 12:50:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 87.55/85.30  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.55/85.31  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.58/85.31  
% 87.58/85.31  %-----------------------------------------------------
% 87.58/85.31  fof(t30_relset_2, conjecture, ! [_61382, _61385] : (m1_subset_1(_61385, k1_zfmisc_1(k1_zfmisc_1(_61382))) => (k5_setfam_1(_61382, _61385) = k1_xboole_0 <=> ! [_61424] : (r2_hidden(_61424, _61385) => _61424 = k1_xboole_0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_relset_2)).
% 87.58/85.31  fof(d1_xboole_0, axiom, ! [_61786] : (_61786 = k1_xboole_0 <=> ! [_61800] : ~ r2_hidden(_61800, _61786)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 87.58/85.31  fof(d4_tarski, axiom, ! [_61966, _61969] : (_61969 = k3_tarski(_61966) <=> ! [_61987] : (r2_hidden(_61987, _61969) <=> ? [_62005] : (r2_hidden(_61987, _62005) & r2_hidden(_62005, _61966)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_tarski)).
% 87.58/85.31  fof(existence_m1_subset_1, axiom, ! [_62283] : ? [_62291] : m1_subset_1(_62291, _62283), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 87.58/85.31  fof(fc12_relat_1, axiom, v1_xboole_0(k1_xboole_0) & v1_relat_1(k1_xboole_0) & v3_relat_1(k1_xboole_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc12_relat_1)).
% 87.58/85.31  fof(redefinition_k5_setfam_1, axiom, ! [_62496, _62499] : (m1_subset_1(_62499, k1_zfmisc_1(k1_zfmisc_1(_62496))) => k5_setfam_1(_62496, _62499) = k3_tarski(_62499)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k5_setfam_1)).
% 87.58/85.31  fof(reflexivity_r1_tarski, axiom, ! [_62681, _62684] : r1_tarski(_62681, _62681), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 87.58/85.31  fof(t2_subset, axiom, ! [_62800, _62803] : (m1_subset_1(_62800, _62803) => v1_xboole_0(_62803) | r2_hidden(_62800, _62803)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 87.58/85.31  fof(t3_subset, axiom, ! [_62968, _62971] : (m1_subset_1(_62968, k1_zfmisc_1(_62971)) <=> r1_tarski(_62968, _62971)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_subset)).
% 87.58/85.31  fof(t5_subset, axiom, ! [_63124, _63127, _63130] : ~ (r2_hidden(_63124, _63127) & m1_subset_1(_63127, k1_zfmisc_1(_63130)) & v1_xboole_0(_63130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_subset)).
% 87.58/85.31  fof(t7_boole, axiom, ! [_63319, _63322] : ~ (r2_hidden(_63319, _63322) & v1_xboole_0(_63322)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t7_boole)).
% 87.58/85.31  
% 87.58/85.31  cnf(1, plain, [-(m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ []))))], clausify(t30_relset_2)).
% 87.58/85.31  cnf(2, plain, [k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0, -(r2_hidden(13 ^ [], 12 ^ []))], clausify(t30_relset_2)).
% 87.58/85.31  cnf(3, plain, [k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0, 13 ^ [] = k1_xboole_0], clausify(t30_relset_2)).
% 87.58/85.31  cnf(4, plain, [-(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0), r2_hidden(_28945, 12 ^ []), -(_28945 = k1_xboole_0)], clausify(t30_relset_2)).
% 87.58/85.31  cnf(5, plain, [_15263 = _15312, -(k1_zfmisc_1(_15263) = k1_zfmisc_1(_15312))], theory(equality)).
% 87.58/85.31  cnf(6, plain, [_15592 = _15641, -(k3_tarski(_15592) = k3_tarski(_15641))], theory(equality)).
% 87.58/85.31  cnf(7, plain, [-(_11416 = _11416)], theory(equality)).
% 87.58/85.31  cnf(8, plain, [_11569 = _11614, -(_11614 = _11569)], theory(equality)).
% 87.58/85.31  cnf(9, plain, [-(_11848 = _11959), _11848 = _11904, _11904 = _11959], theory(equality)).
% 87.58/85.31  cnf(10, plain, [-(m1_subset_1(_12391, _12522)), m1_subset_1(_12324, _12457), _12324 = _12391, _12457 = _12522], theory(equality)).
% 87.58/85.31  cnf(11, plain, [-(r1_tarski(_13015, _13146)), r1_tarski(_12948, _13081), _12948 = _13015, _13081 = _13146], theory(equality)).
% 87.58/85.31  cnf(12, plain, [-(r2_hidden(_13639, _13770)), r2_hidden(_13572, _13705), _13572 = _13639, _13705 = _13770], theory(equality)).
% 87.58/85.31  cnf(13, plain, [-(v1_xboole_0(_14574)), _14525 = _14574, v1_xboole_0(_14525)], theory(equality)).
% 87.58/85.31  cnf(14, plain, [_17141 = k1_xboole_0, r2_hidden(_17247, _17141)], clausify(d1_xboole_0)).
% 87.58/85.31  cnf(15, plain, [-(_17141 = k1_xboole_0), -(r2_hidden(1 ^ [_17141], _17141))], clausify(d1_xboole_0)).
% 87.58/85.31  cnf(16, plain, [_17534 = k3_tarski(_17465), r2_hidden(_17677, _17534), -(r2_hidden(_17677, 2 ^ [_17677, _17534, _17465]))], clausify(d4_tarski)).
% 87.58/85.31  cnf(17, plain, [_17534 = k3_tarski(_17465), r2_hidden(_17677, _17534), -(r2_hidden(2 ^ [_17677, _17534, _17465], _17465))], clausify(d4_tarski)).
% 87.58/85.31  cnf(18, plain, [_17534 = k3_tarski(_17465), -(r2_hidden(_17677, _17534)), r2_hidden(_17677, _17796), r2_hidden(_17796, _17465)], clausify(d4_tarski)).
% 87.58/85.31  cnf(19, plain, [-(_17534 = k3_tarski(_17465)), -(r2_hidden(3 ^ [_17534, _17465], _17534)), -(r2_hidden(3 ^ [_17534, _17465], 4 ^ [_17534, _17465]))], clausify(d4_tarski)).
% 87.58/85.31  cnf(20, plain, [-(_17534 = k3_tarski(_17465)), -(r2_hidden(3 ^ [_17534, _17465], _17534)), -(r2_hidden(4 ^ [_17534, _17465], _17465))], clausify(d4_tarski)).
% 87.58/85.31  cnf(21, plain, [-(m1_subset_1(5 ^ [_19058], _19058))], clausify(existence_m1_subset_1)).
% 87.58/85.31  cnf(22, plain, [-(v1_xboole_0(k1_xboole_0))], clausify(fc12_relat_1)).
% 87.58/85.31  cnf(23, plain, [m1_subset_1(_21271, k1_zfmisc_1(k1_zfmisc_1(_21217))), -(k5_setfam_1(_21217, _21271) = k3_tarski(_21271))], clausify(redefinition_k5_setfam_1)).
% 87.58/85.31  cnf(24, plain, [-(r1_tarski(_21630, _21630))], clausify(reflexivity_r1_tarski)).
% 87.58/85.31  cnf(25, plain, [m1_subset_1(_22164, _22214), -(v1_xboole_0(_22214)), -(r2_hidden(_22164, _22214))], clausify(t2_subset)).
% 87.58/85.31  cnf(26, plain, [-(m1_subset_1(_22537, k1_zfmisc_1(_22584))), r1_tarski(_22537, _22584)], clausify(t3_subset)).
% 87.58/85.31  cnf(27, plain, [r2_hidden(_23356, _23415), m1_subset_1(_23415, k1_zfmisc_1(_23473)), v1_xboole_0(_23473)], clausify(t5_subset)).
% 87.58/85.31  cnf(28, plain, [r2_hidden(_24075, _24121), v1_xboole_0(_24121)], clausify(t7_boole)).
% 87.58/85.31  
% 87.58/85.31  cnf('1',plain,[k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0, 13 ^ [] = k1_xboole_0],start(3)).
% 87.58/85.31  cnf('1.1',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0), r2_hidden(1 ^ [12 ^ []], 12 ^ []), -(1 ^ [12 ^ []] = k1_xboole_0)],extension(4,bind([[_28945], [1 ^ [12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.1',plain,[-(r2_hidden(1 ^ [12 ^ []], 12 ^ [])), -(12 ^ [] = k1_xboole_0)],extension(15,bind([[_17141], [12 ^ []]]))).
% 87.58/85.31  cnf('1.1.1.1',plain,[12 ^ [] = k1_xboole_0, -(k3_tarski(12 ^ []) = k3_tarski(k1_xboole_0))],extension(6,bind([[_15592, _15641], [12 ^ [], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.1.1.1',plain,[k3_tarski(12 ^ []) = k3_tarski(k1_xboole_0), -(k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(k1_xboole_0)), k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ [])],extension(9,bind([[_11959, _11848, _11904], [k3_tarski(k1_xboole_0), k5_setfam_1(11 ^ [], 12 ^ []), k3_tarski(12 ^ [])]]))).
% 87.58/85.31  cnf('1.1.1.1.1.1',plain,[k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(k1_xboole_0), r2_hidden(1 ^ [k5_setfam_1(11 ^ [], 12 ^ [])], k5_setfam_1(11 ^ [], 12 ^ [])), -(r2_hidden(2 ^ [1 ^ [k5_setfam_1(11 ^ [], 12 ^ [])], k5_setfam_1(11 ^ [], 12 ^ []), k1_xboole_0], k1_xboole_0))],extension(17,bind([[_17677, _17534, _17465], [1 ^ [k5_setfam_1(11 ^ [], 12 ^ [])], k5_setfam_1(11 ^ [], 12 ^ []), k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.1.1.1.1.1',plain,[-(r2_hidden(1 ^ [k5_setfam_1(11 ^ [], 12 ^ [])], k5_setfam_1(11 ^ [], 12 ^ []))), -(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0)],extension(15,bind([[_17141], [k5_setfam_1(11 ^ [], 12 ^ [])]]))).
% 87.58/85.31  cnf('1.1.1.1.1.1.1.1',plain,[k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0],reduction('1')).
% 87.58/85.31  cnf('1.1.1.1.1.1.2',plain,[r2_hidden(2 ^ [1 ^ [k5_setfam_1(11 ^ [], 12 ^ [])], k5_setfam_1(11 ^ [], 12 ^ []), k1_xboole_0], k1_xboole_0), k1_xboole_0 = k1_xboole_0],extension(14,bind([[_17247, _17141], [2 ^ [1 ^ [k5_setfam_1(11 ^ [], 12 ^ [])], k5_setfam_1(11 ^ [], 12 ^ []), k1_xboole_0], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.1.1.1.1.2.1',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(7,bind([[_11416], [k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.1.1.1.2',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ [])), -(r2_hidden(3 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], k5_setfam_1(11 ^ [], 12 ^ []))), -(r2_hidden(4 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], 12 ^ []))],extension(20,bind([[_17534, _17465], [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []]]))).
% 87.58/85.31  cnf('1.1.1.1.1.2.1',plain,[r2_hidden(3 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], k5_setfam_1(11 ^ [], 12 ^ [])), k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ []), -(r2_hidden(2 ^ [3 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], 12 ^ []))],extension(17,bind([[_17677, _17534, _17465], [3 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []]]))).
% 87.58/85.31  cnf('1.1.1.1.1.2.1.1',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ [])), m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ [])))],extension(23,bind([[_21271, _21217], [12 ^ [], 11 ^ []]]))).
% 87.58/85.31  cnf('1.1.1.1.1.2.1.1.1',plain,[-(m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ []))))],extension(1)).
% 87.58/85.31  cnf('1.1.1.1.1.2.1.2',plain,[r2_hidden(2 ^ [3 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], 12 ^ []), 12 ^ [] = k1_xboole_0],extension(14,bind([[_17247, _17141], [2 ^ [3 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], 12 ^ []]]))).
% 87.58/85.31  cnf('1.1.1.1.1.2.1.2.1',plain,[-(12 ^ [] = k1_xboole_0)],reduction('1.1.1')).
% 87.58/85.31  cnf('1.1.1.1.1.2.2',plain,[r2_hidden(4 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], 12 ^ []), 12 ^ [] = k1_xboole_0],extension(14,bind([[_17247, _17141], [4 ^ [k5_setfam_1(11 ^ [], 12 ^ []), 12 ^ []], 12 ^ []]]))).
% 87.58/85.31  cnf('1.1.1.1.1.2.2.1',plain,[-(12 ^ [] = k1_xboole_0)],reduction('1.1.1')).
% 87.58/85.31  cnf('1.1.2',plain,[1 ^ [12 ^ []] = k1_xboole_0, -(m1_subset_1(k1_xboole_0, k1_zfmisc_1(k1_xboole_0))), m1_subset_1(1 ^ [12 ^ []], k1_zfmisc_1(k1_xboole_0)), k1_zfmisc_1(k1_xboole_0) = k1_zfmisc_1(k1_xboole_0)],extension(10,bind([[_12391, _12324, _12457, _12522], [k1_xboole_0, 1 ^ [12 ^ []], k1_zfmisc_1(k1_xboole_0), k1_zfmisc_1(k1_xboole_0)]]))).
% 87.58/85.31  cnf('1.1.2.1',plain,[m1_subset_1(k1_xboole_0, k1_zfmisc_1(k1_xboole_0)), r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0), v1_xboole_0(k1_xboole_0)],extension(27,bind([[_23356, _23415, _23473], [3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0, k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.1.1',plain,[-(r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0)), -(k1_xboole_0 = k3_tarski(12 ^ [])), -(r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], 4 ^ [k1_xboole_0, 12 ^ []]))],extension(19,bind([[_17534, _17465], [k1_xboole_0, 12 ^ []]]))).
% 87.58/85.31  cnf('1.1.2.1.1.1',plain,[k1_xboole_0 = k3_tarski(12 ^ []), -(k3_tarski(12 ^ []) = k1_xboole_0)],extension(8,bind([[_11614, _11569], [k3_tarski(12 ^ []), k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.1.1.1.1',plain,[k3_tarski(12 ^ []) = k1_xboole_0, -(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0), k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ [])],extension(9,bind([[_11959, _11848, _11904], [k1_xboole_0, k5_setfam_1(11 ^ [], 12 ^ []), k3_tarski(12 ^ [])]]))).
% 87.58/85.31  cnf('1.1.2.1.1.1.1.1',plain,[k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0],reduction('1')).
% 87.58/85.31  cnf('1.1.2.1.1.1.1.2',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ [])), m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ [])))],extension(23,bind([[_21271, _21217], [12 ^ [], 11 ^ []]]))).
% 87.58/85.31  cnf('1.1.2.1.1.1.1.2.1',plain,[-(m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ []))))],extension(1)).
% 87.58/85.31  cnf('1.1.2.1.1.2',plain,[r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], 4 ^ [k1_xboole_0, 12 ^ []]), -(r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0)), 3 ^ [k1_xboole_0, 12 ^ []] = 3 ^ [k1_xboole_0, 12 ^ []], 4 ^ [k1_xboole_0, 12 ^ []] = k1_xboole_0],extension(12,bind([[_13572, _13639, _13705, _13770], [3 ^ [k1_xboole_0, 12 ^ []], 3 ^ [k1_xboole_0, 12 ^ []], 4 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.1.1.2.1',plain,[r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0)],reduction('1.1.2.1')).
% 87.58/85.31  cnf('1.1.2.1.1.2.2',plain,[-(3 ^ [k1_xboole_0, 12 ^ []] = 3 ^ [k1_xboole_0, 12 ^ []])],extension(7,bind([[_11416], [3 ^ [k1_xboole_0, 12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.1.1.2.3',plain,[-(4 ^ [k1_xboole_0, 12 ^ []] = k1_xboole_0), -(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0), r2_hidden(4 ^ [k1_xboole_0, 12 ^ []], 12 ^ [])],extension(4,bind([[_28945], [4 ^ [k1_xboole_0, 12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.1.1.2.3.1',plain,[k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0],reduction('1')).
% 87.58/85.31  cnf('1.1.2.1.1.2.3.2',plain,[-(r2_hidden(4 ^ [k1_xboole_0, 12 ^ []], 12 ^ [])), -(k1_xboole_0 = k3_tarski(12 ^ [])), -(r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0))],extension(20,bind([[_17465, _17534], [12 ^ [], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.1.1.2.3.2.1',plain,[k1_xboole_0 = k3_tarski(12 ^ [])],lemmata('1.1.2.1.1')).
% 87.58/85.31  cnf('1.1.2.1.1.2.3.2.2',plain,[r2_hidden(3 ^ [k1_xboole_0, 12 ^ []], k1_xboole_0)],lemmata('1.1.2.1.1.2')).
% 87.58/85.31  cnf('1.1.2.1.2',plain,[-(v1_xboole_0(k1_xboole_0)), 1 ^ [12 ^ []] = k1_xboole_0, v1_xboole_0(1 ^ [12 ^ []])],extension(13,bind([[_14574, _14525], [k1_xboole_0, 1 ^ [12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.1.2.1',plain,[-(1 ^ [12 ^ []] = k1_xboole_0)],reduction('1.1')).
% 87.58/85.31  cnf('1.1.2.1.2.2',plain,[-(v1_xboole_0(1 ^ [12 ^ []])), m1_subset_1(5 ^ [1 ^ [12 ^ []]], 1 ^ [12 ^ []]), -(r2_hidden(5 ^ [1 ^ [12 ^ []]], 1 ^ [12 ^ []]))],extension(25,bind([[_22164, _22214], [5 ^ [1 ^ [12 ^ []]], 1 ^ [12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.1.2.2.1',plain,[-(m1_subset_1(5 ^ [1 ^ [12 ^ []]], 1 ^ [12 ^ []]))],extension(21,bind([[_19058], [1 ^ [12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.1.2.2.2',plain,[r2_hidden(5 ^ [1 ^ [12 ^ []]], 1 ^ [12 ^ []]), 1 ^ [12 ^ []] = k1_xboole_0],extension(14,bind([[_17247, _17141], [5 ^ [1 ^ [12 ^ []]], 1 ^ [12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.1.2.2.2.1',plain,[-(1 ^ [12 ^ []] = k1_xboole_0)],lemmata('1.1.2.1.2')).
% 87.58/85.31  cnf('1.1.2.2',plain,[-(m1_subset_1(1 ^ [12 ^ []], k1_zfmisc_1(k1_xboole_0))), r1_tarski(1 ^ [12 ^ []], k1_xboole_0)],extension(26,bind([[_22537, _22584], [1 ^ [12 ^ []], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1',plain,[-(r1_tarski(1 ^ [12 ^ []], k1_xboole_0)), r1_tarski(k1_xboole_0, k1_xboole_0), k1_xboole_0 = 1 ^ [12 ^ []], k1_xboole_0 = k1_xboole_0],extension(11,bind([[_12948, _13015, _13081, _13146], [k1_xboole_0, 1 ^ [12 ^ []], k1_xboole_0, k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1.1',plain,[-(r1_tarski(k1_xboole_0, k1_xboole_0)), r1_tarski(k1_xboole_0, k1_xboole_0), k1_xboole_0 = k1_xboole_0, k1_xboole_0 = k1_xboole_0],extension(11,bind([[_12948, _13015, _13081, _13146], [k1_xboole_0, k1_xboole_0, k1_xboole_0, k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1.1.1',plain,[-(r1_tarski(k1_xboole_0, k1_xboole_0)), r1_tarski(1 ^ [12 ^ []], 1 ^ [12 ^ []]), 1 ^ [12 ^ []] = k1_xboole_0, 1 ^ [12 ^ []] = k1_xboole_0],extension(11,bind([[_12948, _13015, _13081, _13146], [1 ^ [12 ^ []], k1_xboole_0, 1 ^ [12 ^ []], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1.1.1.1',plain,[-(r1_tarski(1 ^ [12 ^ []], 1 ^ [12 ^ []]))],extension(24,bind([[_21630], [1 ^ [12 ^ []]]]))).
% 87.58/85.31  cnf('1.1.2.2.1.1.1.2',plain,[-(1 ^ [12 ^ []] = k1_xboole_0)],reduction('1.1')).
% 87.58/85.31  cnf('1.1.2.2.1.1.1.3',plain,[-(1 ^ [12 ^ []] = k1_xboole_0)],lemmata('1.1.2.2.1.1.1')).
% 87.58/85.31  cnf('1.1.2.2.1.1.2',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(7,bind([[_11416], [k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1.1.3',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(7,bind([[_11416], [k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1.2',plain,[-(k1_xboole_0 = 1 ^ [12 ^ []]), 1 ^ [12 ^ []] = k1_xboole_0],extension(8,bind([[_11569, _11614], [1 ^ [12 ^ []], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.2.1.2.1',plain,[-(1 ^ [12 ^ []] = k1_xboole_0)],reduction('1.1')).
% 87.58/85.31  cnf('1.1.2.2.1.3',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(7,bind([[_11416], [k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.3',plain,[-(k1_zfmisc_1(k1_xboole_0) = k1_zfmisc_1(k1_xboole_0)), k1_xboole_0 = k1_xboole_0],extension(5,bind([[_15263, _15312], [k1_xboole_0, k1_xboole_0]]))).
% 87.58/85.31  cnf('1.1.2.3.1',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(7,bind([[_11416], [k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2',plain,[-(13 ^ [] = k1_xboole_0), -(r2_hidden(1 ^ [13 ^ []], 13 ^ []))],extension(15,bind([[_17141], [13 ^ []]]))).
% 87.58/85.31  cnf('1.2.1',plain,[r2_hidden(1 ^ [13 ^ []], 13 ^ []), 13 ^ [] = k3_tarski(k1_xboole_0), -(r2_hidden(1 ^ [13 ^ []], 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]))],extension(16,bind([[_17677, _17534, _17465], [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.1',plain,[-(13 ^ [] = k3_tarski(k1_xboole_0)), 13 ^ [] = k1_xboole_0, k1_xboole_0 = k3_tarski(k1_xboole_0)],extension(9,bind([[_11848, _11904, _11959], [13 ^ [], k1_xboole_0, k3_tarski(k1_xboole_0)]]))).
% 87.58/85.31  cnf('1.2.1.1.1',plain,[-(13 ^ [] = k1_xboole_0), -(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0), r2_hidden(13 ^ [], 12 ^ [])],extension(4,bind([[_28945], [13 ^ []]]))).
% 87.58/85.31  cnf('1.2.1.1.1.1',plain,[k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0, r2_hidden(1 ^ [13 ^ []], k5_setfam_1(11 ^ [], 12 ^ []))],extension(14,bind([[_17247, _17141], [1 ^ [13 ^ []], k5_setfam_1(11 ^ [], 12 ^ [])]]))).
% 87.58/85.31  cnf('1.2.1.1.1.1.1',plain,[-(r2_hidden(1 ^ [13 ^ []], k5_setfam_1(11 ^ [], 12 ^ []))), k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ []), r2_hidden(1 ^ [13 ^ []], 13 ^ []), r2_hidden(13 ^ [], 12 ^ [])],extension(18,bind([[_17534, _17677, _17796, _17465], [k5_setfam_1(11 ^ [], 12 ^ []), 1 ^ [13 ^ []], 13 ^ [], 12 ^ []]]))).
% 87.58/85.31  cnf('1.2.1.1.1.1.1.1',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k3_tarski(12 ^ [])), m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ [])))],extension(23,bind([[_21271, _21217], [12 ^ [], 11 ^ []]]))).
% 87.58/85.31  cnf('1.2.1.1.1.1.1.1.1',plain,[-(m1_subset_1(12 ^ [], k1_zfmisc_1(k1_zfmisc_1(11 ^ []))))],extension(1)).
% 87.58/85.31  cnf('1.2.1.1.1.1.1.2',plain,[-(r2_hidden(1 ^ [13 ^ []], 13 ^ []))],reduction('1.2')).
% 87.58/85.31  cnf('1.2.1.1.1.1.1.3',plain,[-(r2_hidden(13 ^ [], 12 ^ [])), k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0],extension(2)).
% 87.58/85.31  cnf('1.2.1.1.1.1.1.3.1',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0)],lemmata('1')).
% 87.58/85.31  cnf('1.2.1.1.1.2',plain,[-(r2_hidden(13 ^ [], 12 ^ [])), k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0],extension(2)).
% 87.58/85.31  cnf('1.2.1.1.1.2.1',plain,[-(k5_setfam_1(11 ^ [], 12 ^ []) = k1_xboole_0)],lemmata('1')).
% 87.58/85.31  cnf('1.2.1.1.2',plain,[-(k1_xboole_0 = k3_tarski(k1_xboole_0)), k3_tarski(k1_xboole_0) = k1_xboole_0],extension(8,bind([[_11569, _11614], [k3_tarski(k1_xboole_0), k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.1.2.1',plain,[-(k3_tarski(k1_xboole_0) = k1_xboole_0), -(r2_hidden(1 ^ [k3_tarski(k1_xboole_0)], k3_tarski(k1_xboole_0)))],extension(15,bind([[_17141], [k3_tarski(k1_xboole_0)]]))).
% 87.58/85.31  cnf('1.2.1.1.2.1.1',plain,[r2_hidden(1 ^ [k3_tarski(k1_xboole_0)], k3_tarski(k1_xboole_0)), k3_tarski(k1_xboole_0) = k3_tarski(k1_xboole_0), -(r2_hidden(2 ^ [1 ^ [k3_tarski(k1_xboole_0)], k3_tarski(k1_xboole_0), k1_xboole_0], k1_xboole_0))],extension(17,bind([[_17677, _17534, _17465], [1 ^ [k3_tarski(k1_xboole_0)], k3_tarski(k1_xboole_0), k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.1.2.1.1.1',plain,[-(k3_tarski(k1_xboole_0) = k3_tarski(k1_xboole_0))],extension(7,bind([[_11416], [k3_tarski(k1_xboole_0)]]))).
% 87.58/85.31  cnf('1.2.1.1.2.1.1.2',plain,[r2_hidden(2 ^ [1 ^ [k3_tarski(k1_xboole_0)], k3_tarski(k1_xboole_0), k1_xboole_0], k1_xboole_0), v1_xboole_0(k1_xboole_0)],extension(28,bind([[_24075, _24121], [2 ^ [1 ^ [k3_tarski(k1_xboole_0)], k3_tarski(k1_xboole_0), k1_xboole_0], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.1.2.1.1.2.1',plain,[-(v1_xboole_0(k1_xboole_0))],extension(22)).
% 87.58/85.31  cnf('1.2.1.2',plain,[r2_hidden(1 ^ [13 ^ []], 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]), 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0] = k1_xboole_0],extension(14,bind([[_17247, _17141], [1 ^ [13 ^ []], 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]]]))).
% 87.58/85.31  cnf('1.2.1.2.1',plain,[-(2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0] = k1_xboole_0), -(r2_hidden(1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]))],extension(15,bind([[_17141], [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1',plain,[r2_hidden(1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]), k3_tarski(k1_xboole_0) = k3_tarski(k1_xboole_0), -(r2_hidden(1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0))), r2_hidden(2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0], k1_xboole_0)],extension(18,bind([[_17677, _17534, _17796, _17465], [1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0), 2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.1',plain,[-(k3_tarski(k1_xboole_0) = k3_tarski(k1_xboole_0)), k1_xboole_0 = k1_xboole_0],extension(6,bind([[_15592, _15641], [k1_xboole_0, k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.1.1',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(7,bind([[_11416], [k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.2',plain,[r2_hidden(1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0)), k3_tarski(k1_xboole_0) = k3_tarski(k1_xboole_0), -(r2_hidden(2 ^ [1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0), k1_xboole_0], k1_xboole_0))],extension(17,bind([[_17677, _17534, _17465], [1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0), k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.2.1',plain,[-(k3_tarski(k1_xboole_0) = k3_tarski(k1_xboole_0))],extension(7,bind([[_11416], [k3_tarski(k1_xboole_0)]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.2.2',plain,[r2_hidden(2 ^ [1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0), k1_xboole_0], k1_xboole_0), v1_xboole_0(k1_xboole_0)],extension(28,bind([[_24075, _24121], [2 ^ [1 ^ [2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0]], k3_tarski(k1_xboole_0), k1_xboole_0], k1_xboole_0]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.2.2.1',plain,[-(v1_xboole_0(k1_xboole_0))],extension(22)).
% 87.58/85.31  cnf('1.2.1.2.1.1.3',plain,[-(r2_hidden(2 ^ [1 ^ [13 ^ []], 13 ^ [], k1_xboole_0], k1_xboole_0)), 13 ^ [] = k3_tarski(k1_xboole_0), r2_hidden(1 ^ [13 ^ []], 13 ^ [])],extension(17,bind([[_17465, _17677, _17534], [k1_xboole_0, 1 ^ [13 ^ []], 13 ^ []]]))).
% 87.58/85.31  cnf('1.2.1.2.1.1.3.1',plain,[-(13 ^ [] = k3_tarski(k1_xboole_0))],lemmata('1.2.1')).
% 87.58/85.31  cnf('1.2.1.2.1.1.3.2',plain,[-(r2_hidden(1 ^ [13 ^ []], 13 ^ []))],reduction('1.2')).
% 87.58/85.31  %-----------------------------------------------------
% 87.58/85.32  
% 87.58/85.32  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------