TSTP Solution File: LAT322+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 06:50:47 EDT 2022
% Result : Theorem 2.44s 2.65s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 71
% Syntax : Number of clauses : 273 ( 77 unt; 123 nHn; 273 RR)
% Number of literals : 894 ( 0 equ; 509 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc19),
file('LAT322+1.p',unknown),
[] ).
cnf(2,axiom,
v17_lattices(skc19),
file('LAT322+1.p',unknown),
[] ).
cnf(3,axiom,
l3_lattices(skc19),
file('LAT322+1.p',unknown),
[] ).
cnf(85,axiom,
m2_filter_2(skc20,skc19),
file('LAT322+1.p',unknown),
[] ).
cnf(86,axiom,
~ v3_struct_0(skc19),
file('LAT322+1.p',unknown),
[] ).
cnf(96,axiom,
r1_tarski(u,u),
file('LAT322+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(107,axiom,
( r2_filter_2(skc19,skc20)
| v1_filter_2(skc20,skc19) ),
file('LAT322+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l1_lattices(u)
| v1_funct_1(u1_lattices(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l2_lattices(u)
| v1_funct_1(u2_lattices(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ equal(k17_filter_2(skc19),skc20)
| r2_filter_2(skc19,skc20) ),
file('LAT322+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ r1_tarski(u,v)
| m1_subset_1(u,k1_zfmisc_1(v)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(125,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('LAT322+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v11_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v13_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v14_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v15_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(145,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v16_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('LAT322+1.p',unknown),
[] ).
cnf(148,axiom,
( ~ l2_lattices(u)
| ~ v4_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u2_lattices(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ l1_lattices(u)
| ~ v6_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u1_lattices(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(164,axiom,
( ~ r2_filter_2(skc19,skc20)
| ~ v1_filter_2(skc20,skc19)
| equal(k17_filter_2(skc19),skc20) ),
file('LAT322+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ v11_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v12_lattices(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(184,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),u1_struct_0(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ l3_lattices(u)
| equal(g3_lattices(u1_struct_0(u),u1_lattices(u),u2_lattices(u)),k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(186,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(u1_struct_0(u),k17_filter_2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(187,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('LAT322+1.p',unknown),
[] ).
cnf(188,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('LAT322+1.p',unknown),
[] ).
cnf(189,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('LAT322+1.p',unknown),
[] ).
cnf(190,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('LAT322+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),k1_filter_2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v11_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v12_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(206,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v13_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(207,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v14_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(208,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v15_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v16_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(210,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v17_lattices(k1_lattice2(u)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| equal(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u)),u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(216,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(218,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_2(v,u)
| v3_struct_0(u)
| m1_filter_0(v,u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(222,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
file('LAT322+1.p',unknown),
[] ).
cnf(223,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| m1_filter_2(k15_filter_2(u,v),k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(232,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| equal(k7_filter_2(u,v),v) ),
file('LAT322+1.p',unknown),
[] ).
cnf(233,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| equal(k15_filter_2(u,v),k7_filter_2(u,v)) ),
file('LAT322+1.p',unknown),
[] ).
cnf(235,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| ~ v1_filter_0(v,u)
| v3_struct_0(u)
| v2_filter_0(v,u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(236,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v2_filter_0(k15_filter_2(u,v),k1_lattice2(u))
| ~ m2_filter_2(v,u)
| v1_filter_2(v,u)
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(237,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v1_filter_2(v,u)
| ~ m2_filter_2(v,u)
| v2_filter_0(k15_filter_2(u,v),k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v1_filter_0(k15_filter_2(u,v),k1_lattice2(u))
| ~ m2_filter_2(v,u)
| r2_filter_2(u,v)
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(239,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ r2_filter_2(u,v)
| ~ m2_filter_2(v,u)
| v1_filter_0(k15_filter_2(u,v),k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(241,axiom,
( ~ v10_lattices(u)
| ~ v17_lattices(u)
| ~ l3_lattices(u)
| ~ v1_filter_0(v,u)
| ~ equal(v,k1_filter_0(u))
| ~ m1_filter_0(v,u)
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ v10_lattices(u)
| ~ v17_lattices(u)
| ~ l3_lattices(u)
| ~ v2_filter_0(v,u)
| ~ m1_filter_0(v,u)
| equal(v,k1_filter_0(u))
| v1_filter_0(v,u)
| v3_struct_0(u) ),
file('LAT322+1.p',unknown),
[] ).
cnf(250,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('LAT322+1.p',unknown),
[] ).
cnf(253,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_2(u),k17_filter_2(u)) ),
inference(rew,[status(thm),theory(equality)],[195,184,186]),
[iquote('0:Rew:195.3,184.3,186.3,184.3')] ).
cnf(255,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),k17_filter_2(u)) ),
inference(rew,[status(thm),theory(equality)],[253,195]),
[iquote('0:Rew:253.3,195.3')] ).
cnf(257,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(k17_filter_2(u))) ),
inference(rew,[status(thm),theory(equality)],[186,222]),
[iquote('0:Rew:186.3,222.4')] ).
cnf(259,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m1_filter_2(k7_filter_2(u,v),k1_lattice2(u)) ),
inference(rew,[status(thm),theory(equality)],[233,223]),
[iquote('0:Rew:233.3,223.3')] ).
cnf(260,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(k17_filter_2(u)))
| v3_struct_0(u)
| equal(k7_filter_2(u,v),v) ),
inference(rew,[status(thm),theory(equality)],[186,232]),
[iquote('0:Rew:186.3,232.2')] ).
cnf(262,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| ~ v2_filter_0(k7_filter_2(u,v),k1_lattice2(u))
| v3_struct_0(u)
| v1_filter_2(v,u) ),
inference(rew,[status(thm),theory(equality)],[233,236]),
[iquote('0:Rew:233.3,236.2')] ).
cnf(263,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| ~ v1_filter_2(v,u)
| v3_struct_0(u)
| v2_filter_0(k7_filter_2(u,v),k1_lattice2(u)) ),
inference(rew,[status(thm),theory(equality)],[233,237]),
[iquote('0:Rew:233.3,237.4')] ).
cnf(264,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| ~ v1_filter_0(k7_filter_2(u,v),k1_lattice2(u))
| v3_struct_0(u)
| r2_filter_2(u,v) ),
inference(rew,[status(thm),theory(equality)],[233,238]),
[iquote('0:Rew:233.3,238.2')] ).
cnf(265,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| ~ r2_filter_2(u,v)
| v3_struct_0(u)
| v1_filter_0(k7_filter_2(u,v),k1_lattice2(u)) ),
inference(rew,[status(thm),theory(equality)],[233,239]),
[iquote('0:Rew:233.3,239.4')] ).
cnf(267,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| ~ v1_filter_0(v,u)
| ~ equal(v,k17_filter_2(u))
| v3_struct_0(u) ),
inference(rew,[status(thm),theory(equality)],[255,241]),
[iquote('0:Rew:255.3,241.4')] ).
cnf(268,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| ~ v2_filter_0(v,u)
| v3_struct_0(u)
| v1_filter_0(v,u)
| equal(v,k17_filter_2(u)) ),
inference(rew,[status(thm),theory(equality)],[255,243]),
[iquote('0:Rew:255.3,243.5')] ).
cnf(278,plain,
( ~ v10_lattices(skc19)
| ~ m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc19)))
| v3_struct_0(skc19)
| equal(k7_filter_2(skc19,u),u) ),
inference(res,[status(thm),theory(equality)],[3,260]),
[iquote('0:Res:3.0,260.1')] ).
cnf(282,plain,
( ~ v10_lattices(skc19)
| ~ m2_lattice4(u,skc19)
| v3_struct_0(skc19)
| m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc19))) ),
inference(res,[status(thm),theory(equality)],[3,257]),
[iquote('0:Res:3.0,257.1')] ).
cnf(289,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v11_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,204]),
[iquote('0:Res:3.0,204.2')] ).
cnf(290,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v12_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,205]),
[iquote('0:Res:3.0,205.2')] ).
cnf(291,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v13_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,206]),
[iquote('0:Res:3.0,206.2')] ).
cnf(292,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v14_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,207]),
[iquote('0:Res:3.0,207.2')] ).
cnf(293,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v15_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,208]),
[iquote('0:Res:3.0,208.2')] ).
cnf(294,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v16_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,209]),
[iquote('0:Res:3.0,209.2')] ).
cnf(295,plain,
( ~ v10_lattices(skc19)
| ~ v17_lattices(skc19)
| v17_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,210]),
[iquote('0:Res:3.0,210.2')] ).
cnf(298,plain,
( ~ v10_lattices(skc19)
| ~ v11_lattices(skc19)
| v12_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,183]),
[iquote('0:Res:3.0,183.0')] ).
cnf(302,plain,
equal(g3_lattices(u1_struct_0(skc19),u1_lattices(skc19),u2_lattices(skc19)),k1_lattice2(skc19)),
inference(res,[status(thm),theory(equality)],[3,185]),
[iquote('0:Res:3.0,185.0')] ).
cnf(303,plain,
( ~ v10_lattices(skc19)
| v3_struct_0(skc19)
| equal(u1_struct_0(skc19),k17_filter_2(skc19)) ),
inference(res,[status(thm),theory(equality)],[3,186]),
[iquote('0:Res:3.0,186.1')] ).
cnf(310,plain,
( ~ v10_lattices(skc19)
| v4_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,157]),
[iquote('0:Res:3.0,157.1')] ).
cnf(311,plain,
( ~ v10_lattices(skc19)
| v5_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,158]),
[iquote('0:Res:3.0,158.1')] ).
cnf(312,plain,
( ~ v10_lattices(skc19)
| v6_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,159]),
[iquote('0:Res:3.0,159.1')] ).
cnf(313,plain,
( ~ v10_lattices(skc19)
| v7_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,160]),
[iquote('0:Res:3.0,160.1')] ).
cnf(314,plain,
( ~ v10_lattices(skc19)
| v8_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,161]),
[iquote('0:Res:3.0,161.1')] ).
cnf(315,plain,
( ~ v10_lattices(skc19)
| v9_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,162]),
[iquote('0:Res:3.0,162.1')] ).
cnf(316,plain,
( ~ v10_lattices(skc19)
| v10_lattices(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,163]),
[iquote('0:Res:3.0,163.1')] ).
cnf(317,plain,
( ~ v10_lattices(skc19)
| v4_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,133]),
[iquote('0:Res:3.0,133.0')] ).
cnf(318,plain,
( ~ v10_lattices(skc19)
| v5_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,134]),
[iquote('0:Res:3.0,134.0')] ).
cnf(319,plain,
( ~ v10_lattices(skc19)
| v6_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,135]),
[iquote('0:Res:3.0,135.0')] ).
cnf(320,plain,
( ~ v10_lattices(skc19)
| v7_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,136]),
[iquote('0:Res:3.0,136.0')] ).
cnf(321,plain,
( ~ v10_lattices(skc19)
| v8_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,137]),
[iquote('0:Res:3.0,137.0')] ).
cnf(322,plain,
( ~ v10_lattices(skc19)
| v9_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,138]),
[iquote('0:Res:3.0,138.0')] ).
cnf(325,plain,
( ~ v17_lattices(skc19)
| v11_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,141]),
[iquote('0:Res:3.0,141.0')] ).
cnf(326,plain,
( ~ v17_lattices(skc19)
| v13_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,142]),
[iquote('0:Res:3.0,142.0')] ).
cnf(327,plain,
( ~ v17_lattices(skc19)
| v14_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,143]),
[iquote('0:Res:3.0,143.0')] ).
cnf(328,plain,
( ~ v17_lattices(skc19)
| v15_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,144]),
[iquote('0:Res:3.0,144.0')] ).
cnf(329,plain,
( ~ v17_lattices(skc19)
| v16_lattices(skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,145]),
[iquote('0:Res:3.0,145.0')] ).
cnf(330,plain,
( ~ v3_struct_0(k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[3,125]),
[iquote('0:Res:3.0,125.0')] ).
cnf(331,plain,
v3_lattices(k1_lattice2(skc19)),
inference(res,[status(thm),theory(equality)],[3,108]),
[iquote('0:Res:3.0,108.0')] ).
cnf(332,plain,
l3_lattices(k1_lattice2(skc19)),
inference(res,[status(thm),theory(equality)],[3,109]),
[iquote('0:Res:3.0,109.0')] ).
cnf(333,plain,
l1_lattices(skc19),
inference(res,[status(thm),theory(equality)],[3,103]),
[iquote('0:Res:3.0,103.0')] ).
cnf(334,plain,
l2_lattices(skc19),
inference(res,[status(thm),theory(equality)],[3,104]),
[iquote('0:Res:3.0,104.0')] ).
cnf(452,plain,
( ~ v4_lattices(skc19)
| ~ l2_lattices(skc19)
| v1_relat_1(u2_lattices(skc19)) ),
inference(res,[status(thm),theory(equality)],[148,86]),
[iquote('0:Res:148.3,86.0')] ).
cnf(454,plain,
( ~ v6_lattices(skc19)
| ~ l1_lattices(skc19)
| v1_relat_1(u1_lattices(skc19)) ),
inference(res,[status(thm),theory(equality)],[152,86]),
[iquote('0:Res:152.3,86.0')] ).
cnf(482,plain,
( ~ v10_lattices(skc19)
| ~ l3_lattices(skc19)
| ~ r2_filter_2(skc19,skc20)
| v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[85,265]),
[iquote('0:Res:85.0,265.3')] ).
cnf(483,plain,
( ~ v10_lattices(skc19)
| ~ l3_lattices(skc19)
| ~ v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| r2_filter_2(skc19,skc20)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[85,264]),
[iquote('0:Res:85.0,264.3')] ).
cnf(484,plain,
( ~ v10_lattices(skc19)
| ~ l3_lattices(skc19)
| ~ v1_filter_2(skc20,skc19)
| v2_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[85,263]),
[iquote('0:Res:85.0,263.3')] ).
cnf(485,plain,
( ~ v10_lattices(skc19)
| ~ l3_lattices(skc19)
| ~ v2_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| v1_filter_2(skc20,skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[85,262]),
[iquote('0:Res:85.0,262.3')] ).
cnf(486,plain,
( ~ l3_lattices(skc19)
| ~ v10_lattices(skc19)
| m1_filter_2(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[85,259]),
[iquote('0:Res:85.0,259.2')] ).
cnf(488,plain,
( ~ v10_lattices(skc19)
| ~ l3_lattices(skc19)
| m2_lattice4(skc20,skc19)
| v3_struct_0(skc19) ),
inference(res,[status(thm),theory(equality)],[85,216]),
[iquote('0:Res:85.0,216.2')] ).
cnf(490,plain,
~ v3_struct_0(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[330,86]),
[iquote('0:MRR:330.1,86.0')] ).
cnf(491,plain,
v4_lattices(skc19),
inference(mrr,[status(thm)],[317,1,86]),
[iquote('0:MRR:317.0,317.2,1.0,86.0')] ).
cnf(492,plain,
v5_lattices(skc19),
inference(mrr,[status(thm)],[318,1,86]),
[iquote('0:MRR:318.0,318.2,1.0,86.0')] ).
cnf(493,plain,
v6_lattices(skc19),
inference(mrr,[status(thm)],[319,1,86]),
[iquote('0:MRR:319.0,319.2,1.0,86.0')] ).
cnf(494,plain,
v7_lattices(skc19),
inference(mrr,[status(thm)],[320,1,86]),
[iquote('0:MRR:320.0,320.2,1.0,86.0')] ).
cnf(495,plain,
v8_lattices(skc19),
inference(mrr,[status(thm)],[321,1,86]),
[iquote('0:MRR:321.0,321.2,1.0,86.0')] ).
cnf(496,plain,
v9_lattices(skc19),
inference(mrr,[status(thm)],[322,1,86]),
[iquote('0:MRR:322.0,322.2,1.0,86.0')] ).
cnf(499,plain,
v11_lattices(skc19),
inference(mrr,[status(thm)],[325,2,86]),
[iquote('0:MRR:325.0,325.2,2.0,86.0')] ).
cnf(500,plain,
v13_lattices(skc19),
inference(mrr,[status(thm)],[326,2,86]),
[iquote('0:MRR:326.0,326.2,2.0,86.0')] ).
cnf(501,plain,
v14_lattices(skc19),
inference(mrr,[status(thm)],[327,2,86]),
[iquote('0:MRR:327.0,327.2,2.0,86.0')] ).
cnf(502,plain,
v15_lattices(skc19),
inference(mrr,[status(thm)],[328,2,86]),
[iquote('0:MRR:328.0,328.2,2.0,86.0')] ).
cnf(503,plain,
v16_lattices(skc19),
inference(mrr,[status(thm)],[329,2,86]),
[iquote('0:MRR:329.0,329.2,2.0,86.0')] ).
cnf(504,plain,
v4_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[310,1,86]),
[iquote('0:MRR:310.0,310.2,1.0,86.0')] ).
cnf(505,plain,
v5_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[311,1,86]),
[iquote('0:MRR:311.0,311.2,1.0,86.0')] ).
cnf(506,plain,
v6_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[312,1,86]),
[iquote('0:MRR:312.0,312.2,1.0,86.0')] ).
cnf(507,plain,
v7_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[313,1,86]),
[iquote('0:MRR:313.0,313.2,1.0,86.0')] ).
cnf(508,plain,
v8_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[314,1,86]),
[iquote('0:MRR:314.0,314.2,1.0,86.0')] ).
cnf(509,plain,
v9_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[315,1,86]),
[iquote('0:MRR:315.0,315.2,1.0,86.0')] ).
cnf(510,plain,
v10_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[316,1,86]),
[iquote('0:MRR:316.0,316.2,1.0,86.0')] ).
cnf(519,plain,
v1_relat_1(u2_lattices(skc19)),
inference(mrr,[status(thm)],[452,491,334]),
[iquote('0:MRR:452.0,452.1,491.0,334.0')] ).
cnf(520,plain,
v1_relat_1(u1_lattices(skc19)),
inference(mrr,[status(thm)],[454,493,333]),
[iquote('0:MRR:454.0,454.1,493.0,333.0')] ).
cnf(522,plain,
v12_lattices(skc19),
inference(mrr,[status(thm)],[298,1,499,86]),
[iquote('0:MRR:298.0,298.1,298.3,1.0,499.0,86.0')] ).
cnf(524,plain,
equal(u1_struct_0(skc19),k17_filter_2(skc19)),
inference(mrr,[status(thm)],[303,1,86]),
[iquote('0:MRR:303.0,303.1,1.0,86.0')] ).
cnf(526,plain,
equal(g3_lattices(k17_filter_2(skc19),u1_lattices(skc19),u2_lattices(skc19)),k1_lattice2(skc19)),
inference(rew,[status(thm),theory(equality)],[524,302]),
[iquote('0:Rew:524.0,302.0')] ).
cnf(527,plain,
v11_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[289,1,2,86]),
[iquote('0:MRR:289.0,289.1,289.3,1.0,2.0,86.0')] ).
cnf(528,plain,
v12_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[290,1,2,86]),
[iquote('0:MRR:290.0,290.1,290.3,1.0,2.0,86.0')] ).
cnf(529,plain,
v13_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[291,1,2,86]),
[iquote('0:MRR:291.0,291.1,291.3,1.0,2.0,86.0')] ).
cnf(530,plain,
v14_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[292,1,2,86]),
[iquote('0:MRR:292.0,292.1,292.3,1.0,2.0,86.0')] ).
cnf(531,plain,
v15_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[293,1,2,86]),
[iquote('0:MRR:293.0,293.1,293.3,1.0,2.0,86.0')] ).
cnf(532,plain,
v16_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[294,1,2,86]),
[iquote('0:MRR:294.0,294.1,294.3,1.0,2.0,86.0')] ).
cnf(533,plain,
v17_lattices(k1_lattice2(skc19)),
inference(mrr,[status(thm)],[295,1,2,86]),
[iquote('0:MRR:295.0,295.1,295.3,1.0,2.0,86.0')] ).
cnf(542,plain,
m2_lattice4(skc20,skc19),
inference(mrr,[status(thm)],[488,1,3,86]),
[iquote('0:MRR:488.0,488.1,488.3,1.0,3.0,86.0')] ).
cnf(553,plain,
( ~ m2_lattice4(u,skc19)
| m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc19))) ),
inference(mrr,[status(thm)],[282,1,86]),
[iquote('0:MRR:282.0,282.2,1.0,86.0')] ).
cnf(554,plain,
m1_filter_2(k7_filter_2(skc19,skc20),k1_lattice2(skc19)),
inference(mrr,[status(thm)],[486,3,1,86]),
[iquote('0:MRR:486.0,486.1,486.3,3.0,1.0,86.0')] ).
cnf(557,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc19)))
| equal(k7_filter_2(skc19,u),u) ),
inference(mrr,[status(thm)],[278,1,86]),
[iquote('0:MRR:278.0,278.2,1.0,86.0')] ).
cnf(566,plain,
( ~ r2_filter_2(skc19,skc20)
| v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)) ),
inference(mrr,[status(thm)],[482,1,3,86]),
[iquote('0:MRR:482.0,482.1,482.4,1.0,3.0,86.0')] ).
cnf(567,plain,
( ~ v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| r2_filter_2(skc19,skc20) ),
inference(mrr,[status(thm)],[483,1,3,86]),
[iquote('0:MRR:483.0,483.1,483.4,1.0,3.0,86.0')] ).
cnf(568,plain,
( ~ v1_filter_2(skc20,skc19)
| v2_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)) ),
inference(mrr,[status(thm)],[484,1,3,86]),
[iquote('0:MRR:484.0,484.1,484.4,1.0,3.0,86.0')] ).
cnf(569,plain,
( ~ v2_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19))
| v1_filter_2(skc20,skc19) ),
inference(mrr,[status(thm)],[485,1,3,86]),
[iquote('0:MRR:485.0,485.1,485.4,1.0,3.0,86.0')] ).
cnf(585,plain,
equal(k17_filter_2(skc19),skc20),
inference(spt,[spt(split,[position(s1)])],[164]),
[iquote('1:Spt:164.2')] ).
cnf(586,plain,
( ~ equal(skc20,skc20)
| r2_filter_2(skc19,skc20) ),
inference(rew,[status(thm),theory(equality)],[585,119]),
[iquote('1:Rew:585.0,119.0')] ).
cnf(588,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(skc20))
| equal(k7_filter_2(skc19,u),u) ),
inference(rew,[status(thm),theory(equality)],[585,557]),
[iquote('1:Rew:585.0,557.0')] ).
cnf(600,plain,
equal(u1_struct_0(skc19),skc20),
inference(rew,[status(thm),theory(equality)],[585,524]),
[iquote('1:Rew:585.0,524.0')] ).
cnf(606,plain,
equal(g3_lattices(skc20,u1_lattices(skc19),u2_lattices(skc19)),k1_lattice2(skc19)),
inference(rew,[status(thm),theory(equality)],[585,526]),
[iquote('1:Rew:585.0,526.0')] ).
cnf(608,plain,
r2_filter_2(skc19,skc20),
inference(obv,[status(thm),theory(equality)],[586]),
[iquote('1:Obv:586.0')] ).
cnf(609,plain,
v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)),
inference(mrr,[status(thm)],[566,608]),
[iquote('1:MRR:566.0,608.0')] ).
cnf(746,plain,
( ~ r1_tarski(u,skc20)
| equal(k7_filter_2(skc19,u),u) ),
inference(res,[status(thm),theory(equality)],[123,588]),
[iquote('1:Res:123.1,588.0')] ).
cnf(758,plain,
( ~ r1_tarski(skc20,skc20)
| m1_filter_2(skc20,k1_lattice2(skc19)) ),
inference(spr,[status(thm),theory(equality)],[746,554]),
[iquote('1:SpR:746.1,554.0')] ).
cnf(759,plain,
( ~ r1_tarski(skc20,skc20)
| v1_filter_0(skc20,k1_lattice2(skc19)) ),
inference(spr,[status(thm),theory(equality)],[746,609]),
[iquote('1:SpR:746.1,609.0')] ).
cnf(768,plain,
m1_filter_2(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[758,96]),
[iquote('1:MRR:758.0,96.0')] ).
cnf(769,plain,
v1_filter_0(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[759,96]),
[iquote('1:MRR:759.0,96.0')] ).
cnf(837,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[147,124]),
[iquote('0:Res:147.1,124.0')] ).
cnf(935,plain,
( ~ l2_lattices(skc19)
| m2_relset_1(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20) ),
inference(spr,[status(thm),theory(equality)],[600,190]),
[iquote('1:SpR:600.0,190.1')] ).
cnf(938,plain,
( ~ l2_lattices(u)
| v1_relat_1(u2_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[190,837]),
[iquote('0:Res:190.1,837.0')] ).
cnf(939,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)],[190,129]),
[iquote('0:Res:190.1,129.0')] ).
cnf(940,plain,
m2_relset_1(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20),
inference(ssi,[status(thm)],[935,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('1:SSi:935.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(944,plain,
m1_relset_1(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20),
inference(res,[status(thm),theory(equality)],[940,129]),
[iquote('1:Res:940.0,129.0')] ).
cnf(945,plain,
( ~ l1_lattices(skc19)
| m2_relset_1(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20) ),
inference(spr,[status(thm),theory(equality)],[600,188]),
[iquote('1:SpR:600.0,188.1')] ).
cnf(948,plain,
( ~ l1_lattices(u)
| v1_relat_1(u1_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[188,837]),
[iquote('0:Res:188.1,837.0')] ).
cnf(949,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)],[188,129]),
[iquote('0:Res:188.1,129.0')] ).
cnf(950,plain,
m2_relset_1(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20),
inference(ssi,[status(thm)],[945,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('1:SSi:945.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(953,plain,
m1_relset_1(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20),
inference(res,[status(thm),theory(equality)],[950,129]),
[iquote('1:Res:950.0,129.0')] ).
cnf(955,plain,
( ~ l2_lattices(skc19)
| v1_funct_2(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20) ),
inference(spr,[status(thm),theory(equality)],[600,189]),
[iquote('1:SpR:600.0,189.1')] ).
cnf(958,plain,
v1_funct_2(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20),
inference(ssi,[status(thm)],[955,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('1:SSi:955.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(983,plain,
( ~ l1_lattices(skc19)
| v1_funct_2(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20) ),
inference(spr,[status(thm),theory(equality)],[600,187]),
[iquote('1:SpR:600.0,187.1')] ).
cnf(986,plain,
v1_funct_2(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20),
inference(ssi,[status(thm)],[983,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('1:SSi:983.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(1067,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l2_lattices(u)
| v3_struct_0(u)
| v1_funct_2(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(spr,[status(thm),theory(equality)],[186,189]),
[iquote('0:SpR:186.3,189.1')] ).
cnf(1068,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l1_lattices(u)
| v3_struct_0(u)
| v1_funct_2(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(spr,[status(thm),theory(equality)],[186,187]),
[iquote('0:SpR:186.3,187.1')] ).
cnf(1140,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v1_funct_2(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(ssi,[status(thm)],[1068,103]),
[iquote('0:SSi:1068.2,103.1')] ).
cnf(1141,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v1_funct_2(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(ssi,[status(thm)],[1067,104]),
[iquote('0:SSi:1067.2,104.1')] ).
cnf(1273,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(g3_lattices(k17_filter_2(u),u2_lattices(u),u1_lattices(u)),u) ),
inference(spr,[status(thm),theory(equality)],[186,211]),
[iquote('0:SpR:186.3,211.2')] ).
cnf(1274,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(g3_lattices(k17_filter_2(u),u2_lattices(u),u1_lattices(u)),u) ),
inference(obv,[status(thm),theory(equality)],[1273]),
[iquote('0:Obv:1273.0')] ).
cnf(1578,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| v3_struct_0(u)
| equal(k7_filter_2(u,v),v) ),
inference(res,[status(thm),theory(equality)],[257,260]),
[iquote('0:Res:257.4,260.2')] ).
cnf(1583,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| equal(k7_filter_2(u,v),v) ),
inference(obv,[status(thm),theory(equality)],[1578]),
[iquote('0:Obv:1578.5')] ).
cnf(1756,plain,
( ~ l3_lattices(k1_lattice2(skc19))
| ~ v17_lattices(k1_lattice2(skc19))
| ~ v10_lattices(k1_lattice2(skc19))
| ~ m1_filter_0(skc20,k1_lattice2(skc19))
| ~ equal(k17_filter_2(k1_lattice2(skc19)),skc20)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(res,[status(thm),theory(equality)],[769,267]),
[iquote('1:Res:769.0,267.4')] ).
cnf(1758,plain,
( ~ m1_filter_0(skc20,k1_lattice2(skc19))
| ~ equal(k17_filter_2(k1_lattice2(skc19)),skc20)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[1756,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('1:SSi:1756.2,1756.1,1756.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(1759,plain,
( ~ m1_filter_0(skc20,k1_lattice2(skc19))
| ~ equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(mrr,[status(thm)],[1758,490]),
[iquote('1:MRR:1758.2,490.0')] ).
cnf(1802,plain,
( ~ l3_lattices(k1_lattice2(skc19))
| ~ v10_lattices(k1_lattice2(skc19))
| ~ m1_filter_2(skc20,k1_lattice2(skc19))
| ~ equal(k17_filter_2(k1_lattice2(skc19)),skc20)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(res,[status(thm),theory(equality)],[218,1759]),
[iquote('1:Res:218.4,1759.0')] ).
cnf(1803,plain,
( ~ m1_filter_2(skc20,k1_lattice2(skc19))
| ~ equal(k17_filter_2(k1_lattice2(skc19)),skc20)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[1802,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('1:SSi:1802.1,1802.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(1804,plain,
~ equal(k17_filter_2(k1_lattice2(skc19)),skc20),
inference(mrr,[status(thm)],[1803,768,490]),
[iquote('1:MRR:1803.0,1803.2,768.0,490.0')] ).
cnf(1831,plain,
( ~ v1_funct_1(u2_lattices(skc19))
| ~ v1_funct_1(u1_lattices(skc19))
| ~ equal(g3_lattices(u,v,w),k1_lattice2(skc19))
| ~ m1_relset_1(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| ~ v1_funct_2(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| ~ m1_relset_1(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| ~ v1_funct_2(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| equal(skc20,u) ),
inference(spl,[status(thm),theory(equality)],[606,250]),
[iquote('1:SpL:606.0,250.2')] ).
cnf(1835,plain,
( ~ l3_lattices(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(w)
| ~ equal(g3_lattices(x,w,v),k1_lattice2(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(x,u1_struct_0(u)) ),
inference(spl,[status(thm),theory(equality)],[185,250]),
[iquote('0:SpL:185.1,250.2')] ).
cnf(1836,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(x,u1_struct_0(u)) ),
inference(spl,[status(thm),theory(equality)],[211,250]),
[iquote('0:SpL:211.2,250.2')] ).
cnf(1837,plain,
( ~ equal(g3_lattices(u,v,w),k1_lattice2(skc19))
| ~ m1_relset_1(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| ~ v1_funct_2(u1_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| ~ m1_relset_1(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| ~ v1_funct_2(u2_lattices(skc19),k2_zfmisc_1(skc20,skc20),skc20)
| equal(skc20,u) ),
inference(ssi,[status(thm)],[1831,110,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333,520,111,519]),
[iquote('1:SSi:1831.1,1831.0,110.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0,520.1,111.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0,519.1')] ).
cnf(1838,plain,
( ~ equal(g3_lattices(u,v,w),k1_lattice2(skc19))
| equal(skc20,u) ),
inference(mrr,[status(thm)],[1837,953,986,944,958]),
[iquote('1:MRR:1837.1,1837.2,1837.3,1837.4,953.0,986.0,944.0,958.0')] ).
cnf(2142,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l2_lattices(u)
| v3_struct_0(u)
| m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(spr,[status(thm),theory(equality)],[186,939]),
[iquote('0:SpR:186.3,939.1')] ).
cnf(2146,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(ssi,[status(thm)],[2142,104]),
[iquote('0:SSi:2142.2,104.1')] ).
cnf(2165,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l1_lattices(u)
| v3_struct_0(u)
| m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(spr,[status(thm),theory(equality)],[186,949]),
[iquote('0:SpR:186.3,949.1')] ).
cnf(2169,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u)) ),
inference(ssi,[status(thm)],[2165,103]),
[iquote('0:SSi:2165.2,103.1')] ).
cnf(2183,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(u,k1_lattice2(skc19))
| equal(u1_struct_0(u),skc20) ),
inference(spl,[status(thm),theory(equality)],[211,1838]),
[iquote('1:SpL:211.2,1838.0')] ).
cnf(2508,plain,
( ~ l3_lattices(skc19)
| ~ v10_lattices(skc19)
| ~ m2_lattice4(skc20,skc19)
| v3_struct_0(skc19)
| m1_filter_2(skc20,k1_lattice2(skc19)) ),
inference(spr,[status(thm),theory(equality)],[1583,554]),
[iquote('0:SpR:1583.4,554.0')] ).
cnf(3075,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(v)
| ~ v1_funct_1(u1_lattices(u))
| ~ v1_funct_1(u2_lattices(u))
| ~ equal(u,k1_lattice2(v))
| ~ m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(spl,[status(thm),theory(equality)],[1274,1835]),
[iquote('0:SpL:1274.4,1835.3')] ).
cnf(3081,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(v)
| ~ equal(u,k1_lattice2(v))
| ~ m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(ssi,[status(thm)],[3075,111,104,938,110,103,948]),
[iquote('0:SSi:3075.5,3075.4,111.1,104.1,938.1,104.1,110.1,103.1,948.1,103.1')] ).
cnf(3082,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(v)
| ~ equal(u,k1_lattice2(v))
| ~ m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(mrr,[status(thm)],[3081,1141,1140]),
[iquote('0:MRR:3081.6,3081.8,1141.3,1140.3')] ).
cnf(3083,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(v)
| ~ equal(u,k1_lattice2(v))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(mrr,[status(thm)],[3082,2146,2169]),
[iquote('0:MRR:3082.5,3082.6,2146.3,2169.3')] ).
cnf(3153,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ v3_lattices(v)
| ~ l3_lattices(v)
| ~ v1_funct_1(u1_lattices(u))
| ~ v1_funct_1(u2_lattices(u))
| ~ equal(u,v)
| ~ m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(spl,[status(thm),theory(equality)],[1274,1836]),
[iquote('0:SpL:1274.4,1836.4')] ).
cnf(3160,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ v3_lattices(v)
| ~ l3_lattices(v)
| ~ equal(u,v)
| ~ m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(ssi,[status(thm)],[3153,111,104,938,110,103,948]),
[iquote('0:SSi:3153.6,3153.5,111.1,104.1,938.1,104.1,110.1,103.1,948.1,103.1')] ).
cnf(3161,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ v3_lattices(v)
| ~ l3_lattices(v)
| ~ equal(u,v)
| ~ m1_relset_1(u2_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| ~ m1_relset_1(u1_lattices(u),k2_zfmisc_1(k17_filter_2(u),k17_filter_2(u)),k17_filter_2(u))
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(mrr,[status(thm)],[3160,1141,1140]),
[iquote('0:MRR:3160.7,3160.9,1141.3,1140.3')] ).
cnf(3162,plain,
( ~ v10_lattices(u)
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ v3_lattices(v)
| ~ l3_lattices(v)
| ~ equal(u,v)
| v3_struct_0(u)
| equal(k17_filter_2(u),u1_struct_0(v)) ),
inference(mrr,[status(thm)],[3161,2146,2169]),
[iquote('0:MRR:3161.6,3161.7,2146.3,2169.3')] ).
cnf(5042,plain,
( ~ v10_lattices(k1_lattice2(u))
| ~ v3_lattices(k1_lattice2(u))
| ~ l3_lattices(k1_lattice2(u))
| ~ l3_lattices(u)
| v3_struct_0(k1_lattice2(u))
| equal(k17_filter_2(k1_lattice2(u)),u1_struct_0(u)) ),
inference(eqr,[status(thm),theory(equality)],[3083]),
[iquote('0:EqR:3083.4')] ).
cnf(5043,plain,
( ~ v10_lattices(k1_lattice2(u))
| ~ l3_lattices(u)
| v3_struct_0(k1_lattice2(u))
| equal(k17_filter_2(k1_lattice2(u)),u1_struct_0(u)) ),
inference(ssi,[status(thm)],[5042,108,109]),
[iquote('0:SSi:5042.2,5042.1,108.1,109.1,108.1,109.1')] ).
cnf(5430,plain,
( ~ v10_lattices(k1_lattice2(skc19))
| ~ v3_lattices(k1_lattice2(skc19))
| ~ l3_lattices(k1_lattice2(skc19))
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc19),u)
| ~ equal(u1_struct_0(u),skc20)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(spl,[status(thm),theory(equality)],[3162,1804]),
[iquote('1:SpL:3162.7,1804.0')] ).
cnf(5497,plain,
( ~ v10_lattices(k1_lattice2(skc19))
| ~ v3_lattices(k1_lattice2(skc19))
| ~ l3_lattices(k1_lattice2(skc19))
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc19),u)
| ~ equal(skc20,skc20)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(rew,[status(thm),theory(equality)],[2183,5430]),
[iquote('1:Rew:2183.3,5430.6')] ).
cnf(5498,plain,
( ~ v10_lattices(k1_lattice2(skc19))
| ~ v3_lattices(k1_lattice2(skc19))
| ~ l3_lattices(k1_lattice2(skc19))
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc19),u)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(obv,[status(thm),theory(equality)],[5497]),
[iquote('1:Obv:5497.6')] ).
cnf(5499,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc19),u)
| v3_struct_0(k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[5498,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('1:SSi:5498.2,5498.1,5498.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(5500,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc19),u) ),
inference(mrr,[status(thm)],[5499,490]),
[iquote('1:MRR:5499.3,490.0')] ).
cnf(5588,plain,
( ~ v3_lattices(k1_lattice2(skc19))
| ~ l3_lattices(k1_lattice2(skc19)) ),
inference(eqr,[status(thm),theory(equality)],[5500]),
[iquote('1:EqR:5500.2')] ).
cnf(5589,plain,
$false,
inference(ssi,[status(thm)],[5588,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('1:SSi:5588.1,5588.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(5590,plain,
~ equal(k17_filter_2(skc19),skc20),
inference(spt,[spt(split,[position(sa)])],[5589,585]),
[iquote('1:Spt:5589.0,164.2,585.0')] ).
cnf(5591,plain,
( ~ r2_filter_2(skc19,skc20)
| ~ v1_filter_2(skc20,skc19) ),
inference(spt,[spt(split,[position(s2)])],[164]),
[iquote('1:Spt:5589.0,164.0,164.1')] ).
cnf(5593,plain,
( ~ m2_lattice4(skc20,skc19)
| v3_struct_0(skc19)
| m1_filter_2(skc20,k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[2508,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('0:SSi:2508.1,2508.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(5594,plain,
m1_filter_2(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[5593,542,86]),
[iquote('0:MRR:5593.0,5593.1,542.0,86.0')] ).
cnf(5621,plain,
v1_filter_2(skc20,skc19),
inference(spt,[spt(split,[position(s2s1)])],[107]),
[iquote('2:Spt:107.1')] ).
cnf(5622,plain,
~ r2_filter_2(skc19,skc20),
inference(mrr,[status(thm)],[5591,5621]),
[iquote('2:MRR:5591.1,5621.0')] ).
cnf(5623,plain,
v2_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)),
inference(mrr,[status(thm)],[568,5621]),
[iquote('2:MRR:568.0,5621.0')] ).
cnf(5624,plain,
~ v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)),
inference(mrr,[status(thm)],[567,5622]),
[iquote('2:MRR:567.1,5622.0')] ).
cnf(5734,plain,
( ~ l3_lattices(skc19)
| ~ v10_lattices(skc19)
| ~ m2_lattice4(skc20,skc19)
| v3_struct_0(skc19)
| v2_filter_0(skc20,k1_lattice2(skc19)) ),
inference(spr,[status(thm),theory(equality)],[1583,5623]),
[iquote('2:SpR:1583.4,5623.0')] ).
cnf(5741,plain,
( ~ m2_lattice4(skc20,skc19)
| v3_struct_0(skc19)
| v2_filter_0(skc20,k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[5734,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('2:SSi:5734.1,5734.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(5742,plain,
v2_filter_0(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[5741,542,86]),
[iquote('2:MRR:5741.0,5741.1,542.0,86.0')] ).
cnf(5752,plain,
( ~ l3_lattices(k1_lattice2(skc19))
| ~ v17_lattices(k1_lattice2(skc19))
| ~ v10_lattices(k1_lattice2(skc19))
| ~ m1_filter_0(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19))
| v1_filter_0(skc20,k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(res,[status(thm),theory(equality)],[5742,268]),
[iquote('2:Res:5742.0,268.4')] ).
cnf(5753,plain,
( ~ m1_filter_0(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19))
| v1_filter_0(skc20,k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(ssi,[status(thm)],[5752,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('2:SSi:5752.2,5752.1,5752.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(5754,plain,
( ~ m1_filter_0(skc20,k1_lattice2(skc19))
| v1_filter_0(skc20,k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(mrr,[status(thm)],[5753,490]),
[iquote('2:MRR:5753.1,490.0')] ).
cnf(5777,plain,
( ~ l3_lattices(skc19)
| ~ v10_lattices(skc19)
| ~ m2_lattice4(skc20,skc19)
| ~ v1_filter_0(skc20,k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(spl,[status(thm),theory(equality)],[1583,5624]),
[iquote('2:SpL:1583.4,5624.0')] ).
cnf(5783,plain,
( ~ m2_lattice4(skc20,skc19)
| ~ v1_filter_0(skc20,k1_lattice2(skc19))
| v3_struct_0(skc19) ),
inference(ssi,[status(thm)],[5777,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('2:SSi:5777.1,5777.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(5784,plain,
~ v1_filter_0(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[5783,542,86]),
[iquote('2:MRR:5783.0,5783.2,542.0,86.0')] ).
cnf(5785,plain,
( ~ m1_filter_0(skc20,k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(mrr,[status(thm)],[5754,5784]),
[iquote('2:MRR:5754.1,5784.0')] ).
cnf(5945,plain,
( ~ m2_lattice4(u,skc19)
| equal(k7_filter_2(skc19,u),u) ),
inference(res,[status(thm),theory(equality)],[553,557]),
[iquote('0:Res:553.1,557.0')] ).
cnf(6132,plain,
( ~ l3_lattices(k1_lattice2(skc19))
| ~ v10_lattices(k1_lattice2(skc19))
| ~ m1_filter_2(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(res,[status(thm),theory(equality)],[218,5785]),
[iquote('2:Res:218.4,5785.0')] ).
cnf(6133,plain,
( ~ m1_filter_2(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),skc20) ),
inference(ssi,[status(thm)],[6132,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('2:SSi:6132.1,6132.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(6134,plain,
equal(k17_filter_2(k1_lattice2(skc19)),skc20),
inference(mrr,[status(thm)],[6133,5594,490]),
[iquote('2:MRR:6133.0,6133.1,5594.0,490.0')] ).
cnf(11067,plain,
( ~ l3_lattices(skc19)
| v3_struct_0(k1_lattice2(skc19))
| equal(k17_filter_2(k1_lattice2(skc19)),u1_struct_0(skc19)) ),
inference(sor,[status(thm)],[5043,510]),
[iquote('0:SoR:5043.0,510.0')] ).
cnf(11068,plain,
( ~ l3_lattices(skc19)
| v3_struct_0(k1_lattice2(skc19))
| equal(k17_filter_2(skc19),skc20) ),
inference(rew,[status(thm),theory(equality)],[6134,11067,524]),
[iquote('2:Rew:6134.0,11067.2,524.0,11067.2')] ).
cnf(11069,plain,
( v3_struct_0(k1_lattice2(skc19))
| equal(k17_filter_2(skc19),skc20) ),
inference(ssi,[status(thm)],[11068,2,1,3,522,503,499,501,500,496,495,502,494,493,492,491,334,333]),
[iquote('2:SSi:11068.0,2.0,1.0,3.0,522.0,503.0,499.0,501.0,500.0,496.0,495.0,502.0,494.0,493.0,492.0,491.0,334.0,333.0')] ).
cnf(11070,plain,
$false,
inference(mrr,[status(thm)],[11069,490,5590]),
[iquote('2:MRR:11069.0,11069.1,490.0,5590.0')] ).
cnf(11130,plain,
~ v1_filter_2(skc20,skc19),
inference(spt,[spt(split,[position(s2sa)])],[11070,5621]),
[iquote('2:Spt:11070.0,107.1,5621.0')] ).
cnf(11131,plain,
r2_filter_2(skc19,skc20),
inference(spt,[spt(split,[position(s2s2)])],[107]),
[iquote('2:Spt:11070.0,107.0')] ).
cnf(11132,plain,
~ v2_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)),
inference(mrr,[status(thm)],[569,11130]),
[iquote('2:MRR:569.1,11130.0')] ).
cnf(11133,plain,
v1_filter_0(k7_filter_2(skc19,skc20),k1_lattice2(skc19)),
inference(mrr,[status(thm)],[566,11131]),
[iquote('2:MRR:566.0,11131.0')] ).
cnf(11243,plain,
( ~ m2_lattice4(skc20,skc19)
| v1_filter_0(skc20,k1_lattice2(skc19)) ),
inference(spr,[status(thm),theory(equality)],[5945,11133]),
[iquote('2:SpR:5945.1,11133.0')] ).
cnf(11254,plain,
v1_filter_0(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[11243,542]),
[iquote('2:MRR:11243.0,542.0')] ).
cnf(11413,plain,
( ~ m2_lattice4(skc20,skc19)
| ~ v2_filter_0(skc20,k1_lattice2(skc19)) ),
inference(spl,[status(thm),theory(equality)],[5945,11132]),
[iquote('2:SpL:5945.1,11132.0')] ).
cnf(11422,plain,
~ v2_filter_0(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[11413,542]),
[iquote('2:MRR:11413.0,542.0')] ).
cnf(11428,plain,
( ~ l3_lattices(k1_lattice2(skc19))
| ~ v17_lattices(k1_lattice2(skc19))
| ~ v10_lattices(k1_lattice2(skc19))
| ~ m1_filter_0(skc20,k1_lattice2(skc19))
| ~ v1_filter_0(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19)) ),
inference(res,[status(thm),theory(equality)],[235,11422]),
[iquote('2:Res:235.6,11422.0')] ).
cnf(11429,plain,
( ~ m1_filter_0(skc20,k1_lattice2(skc19))
| ~ v1_filter_0(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[11428,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('2:SSi:11428.2,11428.1,11428.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(11430,plain,
~ m1_filter_0(skc20,k1_lattice2(skc19)),
inference(mrr,[status(thm)],[11429,11254,490]),
[iquote('2:MRR:11429.1,11429.2,11254.0,490.0')] ).
cnf(11431,plain,
( ~ l3_lattices(k1_lattice2(skc19))
| ~ v10_lattices(k1_lattice2(skc19))
| ~ m1_filter_2(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19)) ),
inference(res,[status(thm),theory(equality)],[218,11430]),
[iquote('2:Res:218.4,11430.0')] ).
cnf(11432,plain,
( ~ m1_filter_2(skc20,k1_lattice2(skc19))
| v3_struct_0(k1_lattice2(skc19)) ),
inference(ssi,[status(thm)],[11431,528,532,527,530,529,509,508,531,331,507,506,505,504,533,510,332]),
[iquote('2:SSi:11431.1,11431.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0,528.0,532.0,527.0,530.0,529.0,509.0,508.0,531.0,331.0,507.0,506.0,505.0,504.0,533.0,510.0,332.0')] ).
cnf(11433,plain,
$false,
inference(mrr,[status(thm)],[11432,5594,490]),
[iquote('2:MRR:11432.0,11432.1,5594.0,490.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 28 20:33:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.44/2.65
% 2.44/2.65 SPASS V 3.9
% 2.44/2.65 SPASS beiseite: Proof found.
% 2.44/2.65 % SZS status Theorem
% 2.44/2.65 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.44/2.65 SPASS derived 8101 clauses, backtracked 412 clauses, performed 18 splits and kept 3937 clauses.
% 2.44/2.65 SPASS allocated 108055 KBytes.
% 2.44/2.65 SPASS spent 0:00:02.32 on the problem.
% 2.44/2.65 0:00:00.04 for the input.
% 2.44/2.65 0:00:00.05 for the FLOTTER CNF translation.
% 2.44/2.65 0:00:00.18 for inferences.
% 2.44/2.65 0:00:00.04 for the backtracking.
% 2.44/2.65 0:00:01.89 for the reduction.
% 2.44/2.65
% 2.44/2.65
% 2.44/2.65 Here is a proof with depth 7, length 273 :
% 2.44/2.65 % SZS output start Refutation
% See solution above
% 2.75/2.96 Formulae used in the proof : t58_filter_2 reflexivity_r1_tarski dt_l3_lattices dt_k1_lattice2 dt_u1_lattices dt_u2_lattices t3_subset cc1_relset_1 fc1_lattice2 redefinition_m2_relset_1 cc1_lattices cc5_lattices dt_m2_relset_1 fc2_lattice2 fc4_lattice2 fc6_lattice2 cc7_lattices d2_filter_0 d2_lattice2 d8_filter_2 redefinition_k1_filter_2 fc4_filter_2 abstractness_v3_lattices dt_m2_filter_2 redefinition_m1_filter_2 dt_m2_lattice4 dt_k15_filter_2 d6_filter_2 redefinition_k15_filter_2 t58_filter_0 t44_filter_2 t33_filter_2 free_g3_lattices
% 2.75/2.96
%------------------------------------------------------------------------------