TSTP Solution File: LAT296+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 06:50:19 EDT 2022

% Result   : Theorem 10.71s 10.97s
% Output   : Refutation 10.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   45
% Syntax   : Number of clauses     :  148 (  50 unt;  44 nHn; 148 RR)
%            Number of literals    :  464 (   0 equ; 277 neg)
%            Maximal clause size   :   18 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   28 (  27 usr;   1 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    v10_lattices(skc20),
    file('LAT296+1.p',unknown),
    [] ).

cnf(2,axiom,
    v17_lattices(skc20),
    file('LAT296+1.p',unknown),
    [] ).

cnf(3,axiom,
    l3_lattices(skc20),
    file('LAT296+1.p',unknown),
    [] ).

cnf(4,axiom,
    v10_lattices(skc21),
    file('LAT296+1.p',unknown),
    [] ).

cnf(5,axiom,
    v17_lattices(skc21),
    file('LAT296+1.p',unknown),
    [] ).

cnf(6,axiom,
    l3_lattices(skc21),
    file('LAT296+1.p',unknown),
    [] ).

cnf(88,axiom,
    ~ v3_struct_0(skc21),
    file('LAT296+1.p',unknown),
    [] ).

cnf(89,axiom,
    ~ v3_struct_0(skc20),
    file('LAT296+1.p',unknown),
    [] ).

cnf(100,axiom,
    m1_subset_1(skc22,u1_struct_0(skc20)),
    file('LAT296+1.p',unknown),
    [] ).

cnf(101,axiom,
    m1_subset_1(skc22,u1_struct_0(skc21)),
    file('LAT296+1.p',unknown),
    [] ).

cnf(107,axiom,
    ( ~ l3_lattices(u)
    | l1_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(108,axiom,
    ( ~ l3_lattices(u)
    | l2_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(111,axiom,
    ( ~ l1_lattices(u)
    | v1_funct_1(u1_lattices(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(112,axiom,
    ( ~ l2_lattices(u)
    | v1_funct_1(u2_lattices(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(120,axiom,
    ~ equal(k7_lattices(skc21,skc22),k7_lattices(skc20,skc22)),
    file('LAT296+1.p',unknown),
    [] ).

cnf(124,axiom,
    ( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
    | v1_relat_1(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(128,axiom,
    ( ~ m2_relset_1(u,v,w)
    | m1_relset_1(u,v,w) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(132,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v4_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(133,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v5_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(134,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v6_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(135,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v7_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(136,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v8_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(137,axiom,
    ( ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v9_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(140,axiom,
    ( ~ v17_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v11_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(141,axiom,
    ( ~ v17_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v13_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(142,axiom,
    ( ~ v17_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v14_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(143,axiom,
    ( ~ v17_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v15_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(144,axiom,
    ( ~ v17_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v16_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(146,axiom,
    ( ~ m2_relset_1(u,v,w)
    | m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(147,axiom,
    ( ~ l2_lattices(u)
    | ~ v4_lattices(u)
    | v3_struct_0(u)
    | v1_relat_1(u2_lattices(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(164,axiom,
    ( ~ v11_lattices(u)
    | ~ v10_lattices(u)
    | ~ l3_lattices(u)
    | v3_struct_0(u)
    | v12_lattices(u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(165,axiom,
    ( ~ l1_lattices(u)
    | v1_funct_2(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(166,axiom,
    ( ~ l1_lattices(u)
    | m2_relset_1(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(167,axiom,
    ( ~ l2_lattices(u)
    | v1_funct_2(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(168,axiom,
    ( ~ l2_lattices(u)
    | m2_relset_1(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(173,axiom,
    equal(g3_lattices(u1_struct_0(skc21),u2_lattices(skc21),u1_lattices(skc21)),g3_lattices(u1_struct_0(skc20),u2_lattices(skc20),u1_lattices(skc20))),
    file('LAT296+1.p',unknown),
    [] ).

cnf(174,axiom,
    ( ~ v3_lattices(u)
    | ~ l3_lattices(u)
    | equal(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u)),u) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(176,axiom,
    ( ~ l3_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | v3_struct_0(u)
    | m1_subset_1(k7_lattices(u,v),u1_struct_0(u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(186,axiom,
    ( ~ v10_lattices(u)
    | ~ v11_lattices(u)
    | ~ v16_lattices(u)
    | ~ l3_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | ~ m1_subset_1(w,u1_struct_0(u))
    | ~ r2_lattices(u,v,w)
    | v3_struct_0(u)
    | equal(v,k7_lattices(u,w)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(187,axiom,
    ( ~ v10_lattices(u)
    | ~ v11_lattices(u)
    | ~ v16_lattices(u)
    | ~ l3_lattices(u)
    | ~ m1_subset_1(v,u1_struct_0(u))
    | ~ m1_subset_1(w,u1_struct_0(u))
    | ~ equal(v,k7_lattices(u,w))
    | v3_struct_0(u)
    | r2_lattices(u,v,w) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(188,axiom,
    ( ~ v1_funct_1(u)
    | ~ v1_funct_1(v)
    | ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
    | ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
    | l3_lattices(g3_lattices(w,v,u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(189,axiom,
    ( ~ v1_funct_1(u)
    | ~ v1_funct_1(v)
    | ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
    | ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
    | v3_lattices(g3_lattices(w,v,u)) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(192,axiom,
    ( ~ v1_funct_1(u)
    | ~ v1_funct_1(v)
    | ~ equal(g3_lattices(w,v,u),g3_lattices(x,y,z))
    | ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
    | ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
    | equal(u,z) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(194,axiom,
    ( ~ v1_funct_1(u)
    | ~ v1_funct_1(v)
    | ~ equal(g3_lattices(w,v,u),g3_lattices(x,y,z))
    | ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
    | ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
    | equal(w,x) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(195,axiom,
    ( ~ l3_lattices(u)
    | ~ v16_lattices(u)
    | ~ v15_lattices(u)
    | ~ v10_lattices(u)
    | ~ l3_lattices(v)
    | ~ v16_lattices(v)
    | ~ v15_lattices(v)
    | ~ v10_lattices(v)
    | ~ equal(w,x)
    | ~ m1_subset_1(y,u1_struct_0(u))
    | ~ m1_subset_1(x,u1_struct_0(u))
    | ~ m1_subset_1(y,u1_struct_0(v))
    | ~ m1_subset_1(w,u1_struct_0(v))
    | ~ equal(g3_lattices(u1_struct_0(v),u2_lattices(v),u1_lattices(v)),g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u)))
    | ~ r2_lattices(v,w,y)
    | v3_struct_0(u)
    | v3_struct_0(v)
    | r2_lattices(u,x,y) ),
    file('LAT296+1.p',unknown),
    [] ).

cnf(205,plain,
    ( ~ v10_lattices(skc21)
    | ~ v11_lattices(skc21)
    | v12_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,164]),
    [iquote('0:Res:6.0,164.0')] ).

cnf(206,plain,
    ( ~ v10_lattices(skc21)
    | v4_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,132]),
    [iquote('0:Res:6.0,132.0')] ).

cnf(207,plain,
    ( ~ v10_lattices(skc21)
    | v5_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,133]),
    [iquote('0:Res:6.0,133.0')] ).

cnf(208,plain,
    ( ~ v10_lattices(skc21)
    | v6_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,134]),
    [iquote('0:Res:6.0,134.0')] ).

cnf(209,plain,
    ( ~ v10_lattices(skc21)
    | v7_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,135]),
    [iquote('0:Res:6.0,135.0')] ).

cnf(210,plain,
    ( ~ v10_lattices(skc21)
    | v8_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,136]),
    [iquote('0:Res:6.0,136.0')] ).

cnf(211,plain,
    ( ~ v10_lattices(skc21)
    | v9_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,137]),
    [iquote('0:Res:6.0,137.0')] ).

cnf(214,plain,
    ( ~ v17_lattices(skc21)
    | v11_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,140]),
    [iquote('0:Res:6.0,140.0')] ).

cnf(215,plain,
    ( ~ v17_lattices(skc21)
    | v13_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,141]),
    [iquote('0:Res:6.0,141.0')] ).

cnf(216,plain,
    ( ~ v17_lattices(skc21)
    | v14_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,142]),
    [iquote('0:Res:6.0,142.0')] ).

cnf(217,plain,
    ( ~ v17_lattices(skc21)
    | v15_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,143]),
    [iquote('0:Res:6.0,143.0')] ).

cnf(218,plain,
    ( ~ v17_lattices(skc21)
    | v16_lattices(skc21)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[6,144]),
    [iquote('0:Res:6.0,144.0')] ).

cnf(219,plain,
    l1_lattices(skc21),
    inference(res,[status(thm),theory(equality)],[6,107]),
    [iquote('0:Res:6.0,107.0')] ).

cnf(220,plain,
    l2_lattices(skc21),
    inference(res,[status(thm),theory(equality)],[6,108]),
    [iquote('0:Res:6.0,108.0')] ).

cnf(246,plain,
    ( ~ v10_lattices(skc20)
    | ~ v11_lattices(skc20)
    | v12_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,164]),
    [iquote('0:Res:3.0,164.0')] ).

cnf(247,plain,
    ( ~ v10_lattices(skc20)
    | v4_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,132]),
    [iquote('0:Res:3.0,132.0')] ).

cnf(248,plain,
    ( ~ v10_lattices(skc20)
    | v5_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,133]),
    [iquote('0:Res:3.0,133.0')] ).

cnf(249,plain,
    ( ~ v10_lattices(skc20)
    | v6_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,134]),
    [iquote('0:Res:3.0,134.0')] ).

cnf(250,plain,
    ( ~ v10_lattices(skc20)
    | v7_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,135]),
    [iquote('0:Res:3.0,135.0')] ).

cnf(251,plain,
    ( ~ v10_lattices(skc20)
    | v8_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,136]),
    [iquote('0:Res:3.0,136.0')] ).

cnf(252,plain,
    ( ~ v10_lattices(skc20)
    | v9_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,137]),
    [iquote('0:Res:3.0,137.0')] ).

cnf(255,plain,
    ( ~ v17_lattices(skc20)
    | v11_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,140]),
    [iquote('0:Res:3.0,140.0')] ).

cnf(256,plain,
    ( ~ v17_lattices(skc20)
    | v13_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,141]),
    [iquote('0:Res:3.0,141.0')] ).

cnf(257,plain,
    ( ~ v17_lattices(skc20)
    | v14_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,142]),
    [iquote('0:Res:3.0,142.0')] ).

cnf(258,plain,
    ( ~ v17_lattices(skc20)
    | v15_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,143]),
    [iquote('0:Res:3.0,143.0')] ).

cnf(259,plain,
    ( ~ v17_lattices(skc20)
    | v16_lattices(skc20)
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[3,144]),
    [iquote('0:Res:3.0,144.0')] ).

cnf(260,plain,
    l1_lattices(skc20),
    inference(res,[status(thm),theory(equality)],[3,107]),
    [iquote('0:Res:3.0,107.0')] ).

cnf(261,plain,
    l2_lattices(skc20),
    inference(res,[status(thm),theory(equality)],[3,108]),
    [iquote('0:Res:3.0,108.0')] ).

cnf(331,plain,
    ( ~ v4_lattices(skc21)
    | ~ l2_lattices(skc21)
    | v1_relat_1(u2_lattices(skc21)) ),
    inference(res,[status(thm),theory(equality)],[147,88]),
    [iquote('0:Res:147.3,88.0')] ).

cnf(353,plain,
    ( ~ l3_lattices(skc21)
    | m1_subset_1(k7_lattices(skc21,skc22),u1_struct_0(skc21))
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[101,176]),
    [iquote('0:Res:101.0,176.1')] ).

cnf(355,plain,
    ( ~ l3_lattices(skc21)
    | ~ v16_lattices(skc21)
    | ~ v11_lattices(skc21)
    | ~ v10_lattices(skc21)
    | ~ equal(u,k7_lattices(skc21,skc22))
    | ~ m1_subset_1(u,u1_struct_0(skc21))
    | r2_lattices(skc21,u,skc22)
    | v3_struct_0(skc21) ),
    inference(res,[status(thm),theory(equality)],[101,187]),
    [iquote('0:Res:101.0,187.5')] ).

cnf(373,plain,
    ( ~ l3_lattices(skc20)
    | ~ v16_lattices(skc20)
    | ~ v11_lattices(skc20)
    | ~ v10_lattices(skc20)
    | ~ r2_lattices(skc20,k7_lattices(skc21,skc22),skc22)
    | ~ m1_subset_1(skc22,u1_struct_0(skc20))
    | ~ m1_subset_1(k7_lattices(skc21,skc22),u1_struct_0(skc20))
    | v3_struct_0(skc20) ),
    inference(res,[status(thm),theory(equality)],[186,120]),
    [iquote('0:Res:186.7,120.0')] ).

cnf(381,plain,
    ( ~ v10_lattices(skc21)
    | ~ v15_lattices(skc21)
    | ~ v16_lattices(skc21)
    | ~ l3_lattices(skc21)
    | ~ v10_lattices(skc20)
    | ~ v15_lattices(skc20)
    | ~ v16_lattices(skc20)
    | ~ l3_lattices(skc20)
    | ~ m1_subset_1(u,u1_struct_0(skc21))
    | ~ m1_subset_1(v,u1_struct_0(skc21))
    | ~ m1_subset_1(w,u1_struct_0(skc20))
    | ~ equal(u,w)
    | ~ r2_lattices(skc21,u,v)
    | ~ m1_subset_1(v,u1_struct_0(skc20))
    | v3_struct_0(skc21)
    | v3_struct_0(skc20)
    | r2_lattices(skc20,w,v) ),
    inference(res,[status(thm),theory(equality)],[173,195]),
    [iquote('0:Res:173.0,195.8')] ).

cnf(382,plain,
    ( ~ v1_funct_1(u1_lattices(skc21))
    | ~ v1_funct_1(u2_lattices(skc21))
    | ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ m1_relset_1(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(res,[status(thm),theory(equality)],[173,194]),
    [iquote('0:Res:173.0,194.4')] ).

cnf(391,plain,
    v4_lattices(skc21),
    inference(mrr,[status(thm)],[206,4,88]),
    [iquote('0:MRR:206.0,206.2,4.0,88.0')] ).

cnf(392,plain,
    v5_lattices(skc21),
    inference(mrr,[status(thm)],[207,4,88]),
    [iquote('0:MRR:207.0,207.2,4.0,88.0')] ).

cnf(393,plain,
    v6_lattices(skc21),
    inference(mrr,[status(thm)],[208,4,88]),
    [iquote('0:MRR:208.0,208.2,4.0,88.0')] ).

cnf(394,plain,
    v7_lattices(skc21),
    inference(mrr,[status(thm)],[209,4,88]),
    [iquote('0:MRR:209.0,209.2,4.0,88.0')] ).

cnf(395,plain,
    v8_lattices(skc21),
    inference(mrr,[status(thm)],[210,4,88]),
    [iquote('0:MRR:210.0,210.2,4.0,88.0')] ).

cnf(396,plain,
    v9_lattices(skc21),
    inference(mrr,[status(thm)],[211,4,88]),
    [iquote('0:MRR:211.0,211.2,4.0,88.0')] ).

cnf(399,plain,
    v11_lattices(skc21),
    inference(mrr,[status(thm)],[214,5,88]),
    [iquote('0:MRR:214.0,214.2,5.0,88.0')] ).

cnf(400,plain,
    v13_lattices(skc21),
    inference(mrr,[status(thm)],[215,5,88]),
    [iquote('0:MRR:215.0,215.2,5.0,88.0')] ).

cnf(401,plain,
    v14_lattices(skc21),
    inference(mrr,[status(thm)],[216,5,88]),
    [iquote('0:MRR:216.0,216.2,5.0,88.0')] ).

cnf(402,plain,
    v15_lattices(skc21),
    inference(mrr,[status(thm)],[217,5,88]),
    [iquote('0:MRR:217.0,217.2,5.0,88.0')] ).

cnf(403,plain,
    v16_lattices(skc21),
    inference(mrr,[status(thm)],[218,5,88]),
    [iquote('0:MRR:218.0,218.2,5.0,88.0')] ).

cnf(404,plain,
    v4_lattices(skc20),
    inference(mrr,[status(thm)],[247,1,89]),
    [iquote('0:MRR:247.0,247.2,1.0,89.0')] ).

cnf(405,plain,
    v5_lattices(skc20),
    inference(mrr,[status(thm)],[248,1,89]),
    [iquote('0:MRR:248.0,248.2,1.0,89.0')] ).

cnf(406,plain,
    v6_lattices(skc20),
    inference(mrr,[status(thm)],[249,1,89]),
    [iquote('0:MRR:249.0,249.2,1.0,89.0')] ).

cnf(407,plain,
    v7_lattices(skc20),
    inference(mrr,[status(thm)],[250,1,89]),
    [iquote('0:MRR:250.0,250.2,1.0,89.0')] ).

cnf(408,plain,
    v8_lattices(skc20),
    inference(mrr,[status(thm)],[251,1,89]),
    [iquote('0:MRR:251.0,251.2,1.0,89.0')] ).

cnf(409,plain,
    v9_lattices(skc20),
    inference(mrr,[status(thm)],[252,1,89]),
    [iquote('0:MRR:252.0,252.2,1.0,89.0')] ).

cnf(412,plain,
    v11_lattices(skc20),
    inference(mrr,[status(thm)],[255,2,89]),
    [iquote('0:MRR:255.0,255.2,2.0,89.0')] ).

cnf(413,plain,
    v13_lattices(skc20),
    inference(mrr,[status(thm)],[256,2,89]),
    [iquote('0:MRR:256.0,256.2,2.0,89.0')] ).

cnf(414,plain,
    v14_lattices(skc20),
    inference(mrr,[status(thm)],[257,2,89]),
    [iquote('0:MRR:257.0,257.2,2.0,89.0')] ).

cnf(415,plain,
    v15_lattices(skc20),
    inference(mrr,[status(thm)],[258,2,89]),
    [iquote('0:MRR:258.0,258.2,2.0,89.0')] ).

cnf(416,plain,
    v16_lattices(skc20),
    inference(mrr,[status(thm)],[259,2,89]),
    [iquote('0:MRR:259.0,259.2,2.0,89.0')] ).

cnf(419,plain,
    v1_relat_1(u2_lattices(skc21)),
    inference(mrr,[status(thm)],[331,391,220]),
    [iquote('0:MRR:331.0,331.1,391.0,220.0')] ).

cnf(421,plain,
    v12_lattices(skc21),
    inference(mrr,[status(thm)],[205,4,399,88]),
    [iquote('0:MRR:205.0,205.1,205.3,4.0,399.0,88.0')] ).

cnf(422,plain,
    v12_lattices(skc20),
    inference(mrr,[status(thm)],[246,1,412,89]),
    [iquote('0:MRR:246.0,246.1,246.3,1.0,412.0,89.0')] ).

cnf(431,plain,
    m1_subset_1(k7_lattices(skc21,skc22),u1_struct_0(skc21)),
    inference(mrr,[status(thm)],[353,6,88]),
    [iquote('0:MRR:353.0,353.2,6.0,88.0')] ).

cnf(445,plain,
    ( ~ m1_subset_1(u,u1_struct_0(skc21))
    | ~ equal(u,k7_lattices(skc21,skc22))
    | r2_lattices(skc21,u,skc22) ),
    inference(mrr,[status(thm)],[355,6,403,399,4,88]),
    [iquote('0:MRR:355.0,355.1,355.2,355.3,355.7,6.0,403.0,399.0,4.0,88.0')] ).

cnf(453,plain,
    ( ~ m1_subset_1(k7_lattices(skc21,skc22),u1_struct_0(skc20))
    | ~ r2_lattices(skc20,k7_lattices(skc21,skc22),skc22) ),
    inference(mrr,[status(thm)],[373,3,416,412,1,100,89]),
    [iquote('0:MRR:373.0,373.1,373.2,373.3,373.5,373.7,3.0,416.0,412.0,1.0,100.0,89.0')] ).

cnf(455,plain,
    ( ~ equal(u,v)
    | ~ m1_subset_1(w,u1_struct_0(skc20))
    | ~ m1_subset_1(v,u1_struct_0(skc20))
    | ~ m1_subset_1(w,u1_struct_0(skc21))
    | ~ m1_subset_1(u,u1_struct_0(skc21))
    | ~ r2_lattices(skc21,u,w)
    | r2_lattices(skc20,v,w) ),
    inference(mrr,[status(thm)],[381,4,402,403,6,1,415,416,3,88,89]),
    [iquote('0:MRR:381.0,381.1,381.2,381.3,381.4,381.5,381.6,381.7,381.14,381.15,4.0,402.0,403.0,6.0,1.0,415.0,416.0,3.0,88.0,89.0')] ).

cnf(541,plain,
    ( ~ m2_relset_1(u,v,w)
    | v1_relat_1(u) ),
    inference(res,[status(thm),theory(equality)],[146,124]),
    [iquote('0:Res:146.1,124.0')] ).

cnf(563,plain,
    ( ~ l2_lattices(u)
    | v1_relat_1(u2_lattices(u)) ),
    inference(res,[status(thm),theory(equality)],[168,541]),
    [iquote('0:Res:168.1,541.0')] ).

cnf(564,plain,
    ( ~ l2_lattices(u)
    | m1_relset_1(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
    inference(res,[status(thm),theory(equality)],[168,128]),
    [iquote('0:Res:168.1,128.0')] ).

cnf(567,plain,
    ( ~ l1_lattices(u)
    | v1_relat_1(u1_lattices(u)) ),
    inference(res,[status(thm),theory(equality)],[166,541]),
    [iquote('0:Res:166.1,541.0')] ).

cnf(568,plain,
    ( ~ l1_lattices(u)
    | m1_relset_1(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
    inference(res,[status(thm),theory(equality)],[166,128]),
    [iquote('0:Res:166.1,128.0')] ).

cnf(1032,plain,
    ( ~ v3_lattices(u)
    | ~ l3_lattices(u)
    | ~ v1_funct_1(v)
    | ~ v1_funct_1(w)
    | ~ equal(g3_lattices(x,w,v),u)
    | ~ m1_relset_1(w,k2_zfmisc_1(x,x),x)
    | ~ v1_funct_2(w,k2_zfmisc_1(x,x),x)
    | ~ m1_relset_1(v,k2_zfmisc_1(x,x),x)
    | ~ v1_funct_2(v,k2_zfmisc_1(x,x),x)
    | equal(v,u1_lattices(u)) ),
    inference(spl,[status(thm),theory(equality)],[174,192]),
    [iquote('0:SpL:174.2,192.2')] ).

cnf(1223,plain,
    ( ~ equal(u,v)
    | ~ m1_subset_1(v,u1_struct_0(skc20))
    | ~ m1_subset_1(skc22,u1_struct_0(skc21))
    | ~ m1_subset_1(u,u1_struct_0(skc21))
    | ~ r2_lattices(skc21,u,skc22)
    | r2_lattices(skc20,v,skc22) ),
    inference(res,[status(thm),theory(equality)],[100,455]),
    [iquote('0:Res:100.0,455.1')] ).

cnf(1251,plain,
    ( ~ equal(u,v)
    | ~ m1_subset_1(v,u1_struct_0(skc20))
    | ~ m1_subset_1(u,u1_struct_0(skc21))
    | ~ r2_lattices(skc21,u,skc22)
    | r2_lattices(skc20,v,skc22) ),
    inference(mrr,[status(thm)],[1223,101]),
    [iquote('0:MRR:1223.2,101.0')] ).

cnf(1546,plain,
    ( ~ v3_lattices(g3_lattices(u,v,w))
    | ~ l3_lattices(g3_lattices(u,v,w))
    | ~ v1_funct_1(w)
    | ~ v1_funct_1(v)
    | ~ m1_relset_1(v,k2_zfmisc_1(u,u),u)
    | ~ v1_funct_2(v,k2_zfmisc_1(u,u),u)
    | ~ m1_relset_1(w,k2_zfmisc_1(u,u),u)
    | ~ v1_funct_2(w,k2_zfmisc_1(u,u),u)
    | equal(u1_lattices(g3_lattices(u,v,w)),w) ),
    inference(eqr,[status(thm),theory(equality)],[1032]),
    [iquote('0:EqR:1032.4')] ).

cnf(1549,plain,
    ( ~ v1_funct_1(u)
    | ~ v1_funct_1(v)
    | ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
    | ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
    | ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
    | equal(u1_lattices(g3_lattices(w,v,u)),u) ),
    inference(mrr,[status(thm)],[1546,189,188]),
    [iquote('0:MRR:1546.0,1546.1,189.6,188.6')] ).

cnf(1553,plain,
    ( ~ v1_funct_1(u2_lattices(skc21))
    | ~ l1_lattices(skc21)
    | ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ m1_relset_1(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(sor,[status(thm)],[382,111]),
    [iquote('0:SoR:382.0,111.1')] ).

cnf(1555,plain,
    ( ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ m1_relset_1(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(ssi,[status(thm)],[1553,5,4,6,421,401,400,399,396,395,394,393,392,391,220,219,403,402,112,419]),
    [iquote('0:SSi:1553.1,1553.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0,112.0,5.1,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0,419.0')] ).

cnf(3807,plain,
    ( ~ l2_lattices(u)
    | ~ v1_funct_1(v)
    | ~ v1_funct_1(u2_lattices(u))
    | ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | ~ m1_relset_1(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | equal(u1_lattices(g3_lattices(u1_struct_0(u),u2_lattices(u),v)),v) ),
    inference(res,[status(thm),theory(equality)],[564,1549]),
    [iquote('0:Res:564.1,1549.2')] ).

cnf(3817,plain,
    ( ~ l2_lattices(u)
    | ~ v1_funct_1(v)
    | ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | ~ m1_relset_1(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | equal(u1_lattices(g3_lattices(u1_struct_0(u),u2_lattices(u),v)),v) ),
    inference(ssi,[status(thm)],[3807,112,563]),
    [iquote('0:SSi:3807.2,112.1,563.1')] ).

cnf(3818,plain,
    ( ~ l2_lattices(u)
    | ~ v1_funct_1(v)
    | ~ m1_relset_1(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | equal(u1_lattices(g3_lattices(u1_struct_0(u),u2_lattices(u),v)),v) ),
    inference(mrr,[status(thm)],[3817,167]),
    [iquote('0:MRR:3817.2,167.1')] ).

cnf(4284,plain,
    ( ~ l1_lattices(skc21)
    | ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(res,[status(thm),theory(equality)],[568,1555]),
    [iquote('0:Res:568.1,1555.2')] ).

cnf(4285,plain,
    ( ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u1_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(ssi,[status(thm)],[4284,5,4,6,421,401,400,399,396,395,394,393,392,391,220,219,403,402]),
    [iquote('0:SSi:4284.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0')] ).

cnf(7469,plain,
    ( ~ l1_lattices(u)
    | ~ l2_lattices(u)
    | ~ v1_funct_1(u1_lattices(u))
    | ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | equal(u1_lattices(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u))),u1_lattices(u)) ),
    inference(res,[status(thm),theory(equality)],[568,3818]),
    [iquote('0:Res:568.1,3818.2')] ).

cnf(7470,plain,
    ( ~ l1_lattices(u)
    | ~ l2_lattices(u)
    | ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
    | equal(u1_lattices(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u))),u1_lattices(u)) ),
    inference(ssi,[status(thm)],[7469,111,567]),
    [iquote('0:SSi:7469.2,111.1,567.1')] ).

cnf(7471,plain,
    ( ~ l1_lattices(u)
    | ~ l2_lattices(u)
    | equal(u1_lattices(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u))),u1_lattices(u)) ),
    inference(mrr,[status(thm)],[7470,165]),
    [iquote('0:MRR:7470.2,165.1')] ).

cnf(7646,plain,
    ( ~ l1_lattices(skc21)
    | ~ l2_lattices(skc21)
    | equal(u1_lattices(g3_lattices(u1_struct_0(skc20),u2_lattices(skc20),u1_lattices(skc20))),u1_lattices(skc21)) ),
    inference(spr,[status(thm),theory(equality)],[173,7471]),
    [iquote('0:SpR:173.0,7471.2')] ).

cnf(7672,plain,
    equal(u1_lattices(g3_lattices(u1_struct_0(skc20),u2_lattices(skc20),u1_lattices(skc20))),u1_lattices(skc21)),
    inference(ssi,[status(thm)],[7646,5,4,6,421,401,400,399,396,395,394,393,392,391,220,219,403,402]),
    [iquote('0:SSi:7646.1,7646.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0')] ).

cnf(7786,plain,
    ( ~ l1_lattices(skc20)
    | ~ l2_lattices(skc20)
    | equal(u1_lattices(skc21),u1_lattices(skc20)) ),
    inference(spr,[status(thm),theory(equality)],[7672,7471]),
    [iquote('0:SpR:7672.0,7471.2')] ).

cnf(7814,plain,
    equal(u1_lattices(skc21),u1_lattices(skc20)),
    inference(ssi,[status(thm)],[7786,2,1,3,422,414,413,412,409,408,407,406,405,404,261,260,416,415]),
    [iquote('0:SSi:7786.1,7786.0,2.0,1.0,3.0,422.0,414.0,413.0,412.0,409.0,408.0,407.0,406.0,405.0,404.0,261.0,260.0,416.0,415.0,2.0,1.0,3.0,422.0,414.0,413.0,412.0,409.0,408.0,407.0,406.0,405.0,404.0,261.0,260.0,416.0,415.0')] ).

cnf(7835,plain,
    ( ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u1_lattices(skc20),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(rew,[status(thm),theory(equality)],[7814,4285]),
    [iquote('0:Rew:7814.0,4285.2')] ).

cnf(7951,plain,
    ( ~ l1_lattices(skc21)
    | v1_funct_2(u1_lattices(skc20),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21)) ),
    inference(spr,[status(thm),theory(equality)],[7814,165]),
    [iquote('0:SpR:7814.0,165.1')] ).

cnf(8005,plain,
    v1_funct_2(u1_lattices(skc20),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21)),
    inference(ssi,[status(thm)],[7951,5,4,6,421,401,400,399,396,395,394,393,392,391,220,219,403,402]),
    [iquote('0:SSi:7951.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0')] ).

cnf(8006,plain,
    ( ~ m1_relset_1(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(mrr,[status(thm)],[7835,8005]),
    [iquote('0:MRR:7835.2,8005.0')] ).

cnf(8787,plain,
    ( ~ l2_lattices(skc21)
    | ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(res,[status(thm),theory(equality)],[564,8006]),
    [iquote('0:Res:564.1,8006.0')] ).

cnf(8788,plain,
    ( ~ v1_funct_2(u2_lattices(skc21),k2_zfmisc_1(u1_struct_0(skc21),u1_struct_0(skc21)),u1_struct_0(skc21))
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(ssi,[status(thm)],[8787,5,4,6,421,401,400,399,396,395,394,393,392,391,220,219,403,402]),
    [iquote('0:SSi:8787.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0')] ).

cnf(8799,plain,
    ( ~ l2_lattices(skc21)
    | equal(u1_struct_0(skc21),u1_struct_0(skc20)) ),
    inference(res,[status(thm),theory(equality)],[167,8788]),
    [iquote('0:Res:167.1,8788.0')] ).

cnf(8800,plain,
    equal(u1_struct_0(skc21),u1_struct_0(skc20)),
    inference(ssi,[status(thm)],[8799,5,4,6,421,401,400,399,396,395,394,393,392,391,220,219,403,402]),
    [iquote('0:SSi:8799.0,5.0,4.0,6.0,421.0,401.0,400.0,399.0,396.0,395.0,394.0,393.0,392.0,391.0,220.0,219.0,403.0,402.0')] ).

cnf(8804,plain,
    m1_subset_1(k7_lattices(skc21,skc22),u1_struct_0(skc20)),
    inference(rew,[status(thm),theory(equality)],[8800,431]),
    [iquote('0:Rew:8800.0,431.0')] ).

cnf(8841,plain,
    ( ~ equal(u,v)
    | ~ m1_subset_1(v,u1_struct_0(skc20))
    | ~ m1_subset_1(u,u1_struct_0(skc20))
    | ~ r2_lattices(skc21,u,skc22)
    | r2_lattices(skc20,v,skc22) ),
    inference(rew,[status(thm),theory(equality)],[8800,1251]),
    [iquote('0:Rew:8800.0,1251.2')] ).

cnf(8848,plain,
    ( ~ m1_subset_1(u,u1_struct_0(skc20))
    | ~ equal(u,k7_lattices(skc21,skc22))
    | r2_lattices(skc21,u,skc22) ),
    inference(rew,[status(thm),theory(equality)],[8800,445]),
    [iquote('0:Rew:8800.0,445.0')] ).

cnf(10139,plain,
    ~ r2_lattices(skc20,k7_lattices(skc21,skc22),skc22),
    inference(mrr,[status(thm)],[453,8804]),
    [iquote('0:MRR:453.0,8804.0')] ).

cnf(12998,plain,
    ( ~ equal(u,k7_lattices(skc21,skc22))
    | ~ m1_subset_1(u,u1_struct_0(skc20))
    | ~ r2_lattices(skc21,u,skc22)
    | r2_lattices(skc20,k7_lattices(skc21,skc22),skc22) ),
    inference(res,[status(thm),theory(equality)],[8804,8841]),
    [iquote('0:Res:8804.0,8841.1')] ).

cnf(13097,plain,
    ( ~ equal(u,k7_lattices(skc21,skc22))
    | ~ m1_subset_1(u,u1_struct_0(skc20)) ),
    inference(mrr,[status(thm)],[12998,8848,10139]),
    [iquote('0:MRR:12998.2,12998.3,8848.2,10139.0')] ).

cnf(13102,plain,
    ~ equal(k7_lattices(skc21,skc22),k7_lattices(skc21,skc22)),
    inference(res,[status(thm),theory(equality)],[8804,13097]),
    [iquote('0:Res:8804.0,13097.1')] ).

cnf(13201,plain,
    $false,
    inference(obv,[status(thm),theory(equality)],[13102]),
    [iquote('0:Obv:13102.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun 29 09:26:00 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 10.71/10.97  
% 10.71/10.97  SPASS V 3.9 
% 10.71/10.97  SPASS beiseite: Proof found.
% 10.71/10.97  % SZS status Theorem
% 10.71/10.97  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 10.71/10.97  SPASS derived 9125 clauses, backtracked 0 clauses, performed 1 splits and kept 5954 clauses.
% 10.71/10.97  SPASS allocated 114981 KBytes.
% 10.71/10.97  SPASS spent	0:0:10.63 on the problem.
% 10.71/10.97  		0:00:00.04 for the input.
% 10.71/10.97  		0:00:00.05 for the FLOTTER CNF translation.
% 10.71/10.97  		0:00:00.26 for inferences.
% 10.71/10.97  		0:00:00.00 for the backtracking.
% 10.71/10.97  		0:0:10.10 for the reduction.
% 10.71/10.97  
% 10.71/10.97  
% 10.71/10.97  Here is a proof with depth 7, length 148 :
% 10.71/10.97  % SZS output start Refutation
% See solution above
% 10.93/11.17  Formulae used in the proof : t12_filter_2 dt_l3_lattices dt_u1_lattices dt_u2_lattices cc1_relset_1 redefinition_m2_relset_1 cc1_lattices cc5_lattices dt_m2_relset_1 fc2_lattice2 cc7_lattices abstractness_v3_lattices dt_k7_lattices d21_lattices dt_g3_lattices free_g3_lattices t11_filter_2
% 10.93/11.17  
%------------------------------------------------------------------------------