TSTP Solution File: LAT324+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT324+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:50:49 EDT 2022
% Result : Theorem 55.50s 55.71s
% Output : Refutation 59.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 74
% Syntax : Number of clauses : 352 ( 114 unt; 156 nHn; 352 RR)
% Number of literals : 1021 ( 0 equ; 512 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc20),
file('LAT324+1.p',unknown),
[] ).
cnf(2,axiom,
v17_lattices(skc20),
file('LAT324+1.p',unknown),
[] ).
cnf(3,axiom,
l3_lattices(skc20),
file('LAT324+1.p',unknown),
[] ).
cnf(85,axiom,
~ v3_struct_0(skc20),
file('LAT324+1.p',unknown),
[] ).
cnf(96,axiom,
m1_subset_1(skc22,u1_struct_0(skc20)),
file('LAT324+1.p',unknown),
[] ).
cnf(97,axiom,
m1_subset_1(skc21,u1_struct_0(skc20)),
file('LAT324+1.p',unknown),
[] ).
cnf(98,axiom,
~ equal(skc22,skc21),
file('LAT324+1.p',unknown),
[] ).
cnf(99,axiom,
m1_subset_1(skf15(u),u),
file('LAT324+1.p',unknown),
[] ).
cnf(101,axiom,
~ v1_xboole_0(skf19(u)),
file('LAT324+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(107,axiom,
m1_subset_1(skf20(u),k1_zfmisc_1(u)),
file('LAT324+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ v1_xboole_0(skf20(u))
| v1_xboole_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ skP0(u,v,w)
| r2_hidden(w,v) ),
file('LAT324+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('LAT324+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ r2_hidden(u,v)
| ~ skP0(u,v,w) ),
file('LAT324+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v11_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v13_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(145,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v14_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v15_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v16_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(164,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(165,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_filter_0(skf12(u),u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_filter_2(skf13(u),u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(168,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m2_filter_2(skf16(u),u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m2_lattice4(skf19(u),u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ r2_hidden(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| m1_subset_1(u,w) ),
file('LAT324+1.p',unknown),
[] ).
cnf(181,axiom,
( ~ v11_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v12_lattices(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(199,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v11_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v12_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(201,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v13_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(202,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v14_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v15_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v16_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v17_lattices(k1_lattice2(u)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(206,axiom,
( ~ m2_filter_2(u,skc20)
| ~ r2_filter_2(skc20,u)
| ~ r2_hidden(skc21,u)
| r2_hidden(skc22,u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(207,axiom,
( ~ m2_filter_2(u,skc20)
| ~ r2_filter_2(skc20,u)
| ~ r2_hidden(skc22,u)
| r2_hidden(skc21,u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(v)
| ~ m1_filter_0(v,u)
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(210,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(v)
| ~ m1_filter_2(v,u)
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(v)
| ~ m2_filter_2(v,u)
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(213,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(215,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_2(v,u)
| v3_struct_0(u)
| m1_filter_0(v,u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(218,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
file('LAT324+1.p',unknown),
[] ).
cnf(219,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
file('LAT324+1.p',unknown),
[] ).
cnf(220,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(k5_filter_2(u,v),v) ),
file('LAT324+1.p',unknown),
[] ).
cnf(221,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,k1_lattice2(u))
| m2_filter_2(k14_filter_2(u,v),u)
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(222,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('LAT324+1.p',unknown),
[] ).
cnf(231,axiom,
( ~ l3_lattices(u)
| ~ v10_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('LAT324+1.p',unknown),
[] ).
cnf(232,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('LAT324+1.p',unknown),
[] ).
cnf(233,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_filter_0(v,k1_lattice2(u))
| v3_struct_0(u)
| equal(k14_filter_2(u,v),k8_filter_2(u,v)) ),
file('LAT324+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| m1_subset_1(k5_filter_2(u,v),u1_struct_0(k1_lattice2(u)))
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(235,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(k1_lattice2(u))))
| v3_struct_0(u)
| equal(k8_filter_2(u,v),v) ),
file('LAT324+1.p',unknown),
[] ).
cnf(237,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('LAT324+1.p',unknown),
[] ).
cnf(240,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(k1_lattice2(u))))
| m1_subset_1(k8_filter_2(u,v),k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(241,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| m1_subset_1(k7_filter_2(u,v),k1_zfmisc_1(u1_struct_0(k1_lattice2(u))))
| v3_struct_0(u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| equal(w,v)
| v1_filter_0(skf23(u,x,y),u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(244,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| equal(w,v)
| m1_filter_0(skf23(u,x,y),u) ),
file('LAT324+1.p',unknown),
[] ).
cnf(245,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| equal(w,v)
| r2_hidden(v,skf23(u,w,v))
| skP0(v,skf23(u,w,v),w) ),
file('LAT324+1.p',unknown),
[] ).
cnf(246,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ r2_hidden(w,skf23(u,w,v))
| v3_struct_0(u)
| equal(w,v)
| skP0(v,skf23(u,w,v),w) ),
file('LAT324+1.p',unknown),
[] ).
cnf(255,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)],[232,222]),
[iquote('0:Rew:232.3,222.3')] ).
cnf(256,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_filter_0(v,k1_lattice2(u))
| v3_struct_0(u)
| m2_filter_2(k8_filter_2(u,v),u) ),
inference(rew,[status(thm),theory(equality)],[233,221]),
[iquote('0:Rew:233.3,221.3')] ).
cnf(257,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| m1_subset_1(v,u1_struct_0(k1_lattice2(u))) ),
inference(rew,[status(thm),theory(equality)],[220,234]),
[iquote('0:Rew:220.4,234.3')] ).
cnf(259,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)],[232,237]),
[iquote('0:Rew:232.3,237.2')] ).
cnf(262,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(k1_lattice2(u))))
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
inference(rew,[status(thm),theory(equality)],[235,240]),
[iquote('0:Rew:235.4,240.3')] ).
cnf(263,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(k1_lattice2(u)))) ),
inference(rew,[status(thm),theory(equality)],[231,241]),
[iquote('0:Rew:231.4,241.3')] ).
cnf(270,plain,
( ~ v10_lattices(skc20)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc20))))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20)))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,262]),
[iquote('0:Res:3.0,262.0')] ).
cnf(272,plain,
( ~ v10_lattices(skc20)
| ~ v1_filter_0(k7_filter_2(skc20,u),k1_lattice2(skc20))
| ~ m2_filter_2(u,skc20)
| r2_filter_2(skc20,u)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,259]),
[iquote('0:Res:3.0,259.1')] ).
cnf(273,plain,
( ~ v10_lattices(skc20)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc20))))
| v3_struct_0(skc20)
| equal(k8_filter_2(skc20,u),u) ),
inference(res,[status(thm),theory(equality)],[3,235]),
[iquote('0:Res:3.0,235.1')] ).
cnf(274,plain,
( ~ v10_lattices(skc20)
| ~ m1_subset_1(u,u1_struct_0(skc20))
| m1_subset_1(u,u1_struct_0(k1_lattice2(skc20)))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,257]),
[iquote('0:Res:3.0,257.0')] ).
cnf(275,plain,
( ~ v10_lattices(skc20)
| ~ m1_filter_0(u,k1_lattice2(skc20))
| m2_filter_2(k8_filter_2(skc20,u),skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,256]),
[iquote('0:Res:3.0,256.0')] ).
cnf(277,plain,
( ~ v10_lattices(skc20)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20)))
| v3_struct_0(skc20)
| equal(k7_filter_2(skc20,u),u) ),
inference(res,[status(thm),theory(equality)],[3,231]),
[iquote('0:Res:3.0,231.1')] ).
cnf(278,plain,
( ~ v10_lattices(skc20)
| ~ m2_filter_2(u,skc20)
| m1_filter_2(k7_filter_2(skc20,u),k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,255]),
[iquote('0:Res:3.0,255.0')] ).
cnf(281,plain,
( ~ v10_lattices(skc20)
| ~ m1_filter_0(u,skc20)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20)))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,218]),
[iquote('0:Res:3.0,218.1')] ).
cnf(282,plain,
( ~ v10_lattices(skc20)
| ~ m2_lattice4(u,skc20)
| v3_struct_0(skc20)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(res,[status(thm),theory(equality)],[3,219]),
[iquote('0:Res:3.0,219.1')] ).
cnf(286,plain,
( ~ v10_lattices(skc20)
| ~ m2_filter_2(u,skc20)
| m2_lattice4(u,skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,213]),
[iquote('0:Res:3.0,213.1')] ).
cnf(287,plain,
( ~ v10_lattices(skc20)
| ~ m1_filter_2(u,skc20)
| m1_filter_0(u,skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,215]),
[iquote('0:Res:3.0,215.1')] ).
cnf(289,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v11_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,199]),
[iquote('0:Res:3.0,199.2')] ).
cnf(290,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v12_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,200]),
[iquote('0:Res:3.0,200.2')] ).
cnf(291,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v13_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,201]),
[iquote('0:Res:3.0,201.2')] ).
cnf(292,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v14_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,202]),
[iquote('0:Res:3.0,202.2')] ).
cnf(293,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v15_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,203]),
[iquote('0:Res:3.0,203.2')] ).
cnf(294,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v16_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,204]),
[iquote('0:Res:3.0,204.2')] ).
cnf(295,plain,
( ~ v10_lattices(skc20)
| ~ v17_lattices(skc20)
| v17_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,205]),
[iquote('0:Res:3.0,205.2')] ).
cnf(297,plain,
( ~ v10_lattices(skc20)
| ~ v11_lattices(skc20)
| v12_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,181]),
[iquote('0:Res:3.0,181.0')] ).
cnf(299,plain,
( ~ v10_lattices(skc20)
| v3_struct_0(skc20)
| m1_filter_0(skf12(skc20),skc20) ),
inference(res,[status(thm),theory(equality)],[3,166]),
[iquote('0:Res:3.0,166.1')] ).
cnf(300,plain,
( ~ v10_lattices(skc20)
| v3_struct_0(skc20)
| m1_filter_2(skf13(skc20),skc20) ),
inference(res,[status(thm),theory(equality)],[3,167]),
[iquote('0:Res:3.0,167.1')] ).
cnf(301,plain,
( ~ v10_lattices(skc20)
| v3_struct_0(skc20)
| m2_filter_2(skf16(skc20),skc20) ),
inference(res,[status(thm),theory(equality)],[3,168]),
[iquote('0:Res:3.0,168.1')] ).
cnf(303,plain,
( ~ v10_lattices(skc20)
| v3_struct_0(skc20)
| m2_lattice4(skf19(skc20),skc20) ),
inference(res,[status(thm),theory(equality)],[3,171]),
[iquote('0:Res:3.0,171.1')] ).
cnf(304,plain,
( ~ v10_lattices(skc20)
| v4_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,159]),
[iquote('0:Res:3.0,159.1')] ).
cnf(305,plain,
( ~ v10_lattices(skc20)
| v5_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,160]),
[iquote('0:Res:3.0,160.1')] ).
cnf(306,plain,
( ~ v10_lattices(skc20)
| v6_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,161]),
[iquote('0:Res:3.0,161.1')] ).
cnf(307,plain,
( ~ v10_lattices(skc20)
| v7_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,162]),
[iquote('0:Res:3.0,162.1')] ).
cnf(308,plain,
( ~ v10_lattices(skc20)
| v8_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,163]),
[iquote('0:Res:3.0,163.1')] ).
cnf(309,plain,
( ~ v10_lattices(skc20)
| v9_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,164]),
[iquote('0:Res:3.0,164.1')] ).
cnf(310,plain,
( ~ v10_lattices(skc20)
| v10_lattices(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,165]),
[iquote('0:Res:3.0,165.1')] ).
cnf(311,plain,
( ~ v10_lattices(skc20)
| v4_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,135]),
[iquote('0:Res:3.0,135.0')] ).
cnf(312,plain,
( ~ v10_lattices(skc20)
| v5_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,136]),
[iquote('0:Res:3.0,136.0')] ).
cnf(313,plain,
( ~ v10_lattices(skc20)
| v6_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,137]),
[iquote('0:Res:3.0,137.0')] ).
cnf(314,plain,
( ~ v10_lattices(skc20)
| v7_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,138]),
[iquote('0:Res:3.0,138.0')] ).
cnf(315,plain,
( ~ v10_lattices(skc20)
| v8_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,139]),
[iquote('0:Res:3.0,139.0')] ).
cnf(316,plain,
( ~ v10_lattices(skc20)
| v9_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,140]),
[iquote('0:Res:3.0,140.0')] ).
cnf(319,plain,
( ~ v17_lattices(skc20)
| v11_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,143]),
[iquote('0:Res:3.0,143.0')] ).
cnf(320,plain,
( ~ v17_lattices(skc20)
| v13_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,144]),
[iquote('0:Res:3.0,144.0')] ).
cnf(321,plain,
( ~ v17_lattices(skc20)
| v14_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,145]),
[iquote('0:Res:3.0,145.0')] ).
cnf(322,plain,
( ~ v17_lattices(skc20)
| v15_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,146]),
[iquote('0:Res:3.0,146.0')] ).
cnf(323,plain,
( ~ v17_lattices(skc20)
| v16_lattices(skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,147]),
[iquote('0:Res:3.0,147.0')] ).
cnf(324,plain,
( ~ v3_struct_0(k1_lattice2(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,126]),
[iquote('0:Res:3.0,126.0')] ).
cnf(325,plain,
v3_lattices(k1_lattice2(skc20)),
inference(res,[status(thm),theory(equality)],[3,109]),
[iquote('0:Res:3.0,109.0')] ).
cnf(326,plain,
l3_lattices(k1_lattice2(skc20)),
inference(res,[status(thm),theory(equality)],[3,110]),
[iquote('0:Res:3.0,110.0')] ).
cnf(327,plain,
l1_lattices(skc20),
inference(res,[status(thm),theory(equality)],[3,105]),
[iquote('0:Res:3.0,105.0')] ).
cnf(328,plain,
l2_lattices(skc20),
inference(res,[status(thm),theory(equality)],[3,106]),
[iquote('0:Res:3.0,106.0')] ).
cnf(329,plain,
( ~ v1_xboole_0(u)
| ~ v10_lattices(skc20)
| ~ m1_filter_0(u,skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,209]),
[iquote('0:Res:3.0,209.2')] ).
cnf(330,plain,
( ~ v1_xboole_0(u)
| ~ v10_lattices(skc20)
| ~ m1_filter_2(u,skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,210]),
[iquote('0:Res:3.0,210.2')] ).
cnf(331,plain,
( ~ v1_xboole_0(u)
| ~ v10_lattices(skc20)
| ~ m2_filter_2(u,skc20)
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[3,212]),
[iquote('0:Res:3.0,212.2')] ).
cnf(350,plain,
( ~ v17_lattices(skc20)
| ~ l3_lattices(skc20)
| ~ m1_subset_1(u,u1_struct_0(skc20))
| ~ m1_subset_1(v,u1_struct_0(skc20))
| m1_filter_0(skf23(skc20,w,x),skc20)
| v3_struct_0(skc20)
| equal(u,v) ),
inference(res,[status(thm),theory(equality)],[1,244]),
[iquote('0:Res:1.0,244.0')] ).
cnf(351,plain,
( ~ v17_lattices(skc20)
| ~ l3_lattices(skc20)
| ~ m1_subset_1(u,u1_struct_0(skc20))
| ~ m1_subset_1(v,u1_struct_0(skc20))
| v1_filter_0(skf23(skc20,w,x),skc20)
| v3_struct_0(skc20)
| equal(u,v) ),
inference(res,[status(thm),theory(equality)],[1,243]),
[iquote('0:Res:1.0,243.0')] ).
cnf(485,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| ~ r2_hidden(skc21,skf23(u,skc21,skc22))
| v3_struct_0(u)
| skP0(skc22,skf23(u,skc21,skc22),skc21) ),
inference(res,[status(thm),theory(equality)],[246,98]),
[iquote('0:Res:246.8,98.0')] ).
cnf(486,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| v3_struct_0(u)
| r2_hidden(skc22,skf23(u,skc21,skc22))
| skP0(skc22,skf23(u,skc21,skc22),skc21) ),
inference(res,[status(thm),theory(equality)],[245,98]),
[iquote('0:Res:245.8,98.0')] ).
cnf(491,plain,
~ v3_struct_0(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[324,85]),
[iquote('0:MRR:324.1,85.0')] ).
cnf(492,plain,
v4_lattices(skc20),
inference(mrr,[status(thm)],[311,1,85]),
[iquote('0:MRR:311.0,311.2,1.0,85.0')] ).
cnf(493,plain,
v5_lattices(skc20),
inference(mrr,[status(thm)],[312,1,85]),
[iquote('0:MRR:312.0,312.2,1.0,85.0')] ).
cnf(494,plain,
v6_lattices(skc20),
inference(mrr,[status(thm)],[313,1,85]),
[iquote('0:MRR:313.0,313.2,1.0,85.0')] ).
cnf(495,plain,
v7_lattices(skc20),
inference(mrr,[status(thm)],[314,1,85]),
[iquote('0:MRR:314.0,314.2,1.0,85.0')] ).
cnf(496,plain,
v8_lattices(skc20),
inference(mrr,[status(thm)],[315,1,85]),
[iquote('0:MRR:315.0,315.2,1.0,85.0')] ).
cnf(497,plain,
v9_lattices(skc20),
inference(mrr,[status(thm)],[316,1,85]),
[iquote('0:MRR:316.0,316.2,1.0,85.0')] ).
cnf(500,plain,
v11_lattices(skc20),
inference(mrr,[status(thm)],[319,2,85]),
[iquote('0:MRR:319.0,319.2,2.0,85.0')] ).
cnf(501,plain,
v13_lattices(skc20),
inference(mrr,[status(thm)],[320,2,85]),
[iquote('0:MRR:320.0,320.2,2.0,85.0')] ).
cnf(502,plain,
v14_lattices(skc20),
inference(mrr,[status(thm)],[321,2,85]),
[iquote('0:MRR:321.0,321.2,2.0,85.0')] ).
cnf(503,plain,
v15_lattices(skc20),
inference(mrr,[status(thm)],[322,2,85]),
[iquote('0:MRR:322.0,322.2,2.0,85.0')] ).
cnf(504,plain,
v16_lattices(skc20),
inference(mrr,[status(thm)],[323,2,85]),
[iquote('0:MRR:323.0,323.2,2.0,85.0')] ).
cnf(505,plain,
v4_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[304,1,85]),
[iquote('0:MRR:304.0,304.2,1.0,85.0')] ).
cnf(506,plain,
v5_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[305,1,85]),
[iquote('0:MRR:305.0,305.2,1.0,85.0')] ).
cnf(507,plain,
v6_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[306,1,85]),
[iquote('0:MRR:306.0,306.2,1.0,85.0')] ).
cnf(508,plain,
v7_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[307,1,85]),
[iquote('0:MRR:307.0,307.2,1.0,85.0')] ).
cnf(509,plain,
v8_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[308,1,85]),
[iquote('0:MRR:308.0,308.2,1.0,85.0')] ).
cnf(510,plain,
v9_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[309,1,85]),
[iquote('0:MRR:309.0,309.2,1.0,85.0')] ).
cnf(511,plain,
v10_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[310,1,85]),
[iquote('0:MRR:310.0,310.2,1.0,85.0')] ).
cnf(512,plain,
m1_filter_0(skf12(skc20),skc20),
inference(mrr,[status(thm)],[299,1,85]),
[iquote('0:MRR:299.0,299.1,1.0,85.0')] ).
cnf(513,plain,
m1_filter_2(skf13(skc20),skc20),
inference(mrr,[status(thm)],[300,1,85]),
[iquote('0:MRR:300.0,300.1,1.0,85.0')] ).
cnf(514,plain,
m2_filter_2(skf16(skc20),skc20),
inference(mrr,[status(thm)],[301,1,85]),
[iquote('0:MRR:301.0,301.1,1.0,85.0')] ).
cnf(516,plain,
m2_lattice4(skf19(skc20),skc20),
inference(mrr,[status(thm)],[303,1,85]),
[iquote('0:MRR:303.0,303.1,1.0,85.0')] ).
cnf(519,plain,
v12_lattices(skc20),
inference(mrr,[status(thm)],[297,1,500,85]),
[iquote('0:MRR:297.0,297.1,297.3,1.0,500.0,85.0')] ).
cnf(520,plain,
v11_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[289,1,2,85]),
[iquote('0:MRR:289.0,289.1,289.3,1.0,2.0,85.0')] ).
cnf(521,plain,
v12_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[290,1,2,85]),
[iquote('0:MRR:290.0,290.1,290.3,1.0,2.0,85.0')] ).
cnf(522,plain,
v13_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[291,1,2,85]),
[iquote('0:MRR:291.0,291.1,291.3,1.0,2.0,85.0')] ).
cnf(523,plain,
v14_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[292,1,2,85]),
[iquote('0:MRR:292.0,292.1,292.3,1.0,2.0,85.0')] ).
cnf(524,plain,
v15_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[293,1,2,85]),
[iquote('0:MRR:293.0,293.1,293.3,1.0,2.0,85.0')] ).
cnf(525,plain,
v16_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[294,1,2,85]),
[iquote('0:MRR:294.0,294.1,294.3,1.0,2.0,85.0')] ).
cnf(526,plain,
v17_lattices(k1_lattice2(skc20)),
inference(mrr,[status(thm)],[295,1,2,85]),
[iquote('0:MRR:295.0,295.1,295.3,1.0,2.0,85.0')] ).
cnf(532,plain,
( ~ m2_filter_2(u,skc20)
| m2_lattice4(u,skc20) ),
inference(mrr,[status(thm)],[286,1,85]),
[iquote('0:MRR:286.0,286.3,1.0,85.0')] ).
cnf(533,plain,
( ~ m1_filter_2(u,skc20)
| m1_filter_0(u,skc20) ),
inference(mrr,[status(thm)],[287,1,85]),
[iquote('0:MRR:287.0,287.3,1.0,85.0')] ).
cnf(535,plain,
( ~ v1_xboole_0(u)
| ~ m1_filter_0(u,skc20) ),
inference(mrr,[status(thm)],[329,1,85]),
[iquote('0:MRR:329.1,329.3,1.0,85.0')] ).
cnf(536,plain,
( ~ v1_xboole_0(u)
| ~ m1_filter_2(u,skc20) ),
inference(mrr,[status(thm)],[330,1,85]),
[iquote('0:MRR:330.1,330.3,1.0,85.0')] ).
cnf(537,plain,
( ~ v1_xboole_0(u)
| ~ m2_filter_2(u,skc20) ),
inference(mrr,[status(thm)],[331,1,85]),
[iquote('0:MRR:331.1,331.3,1.0,85.0')] ).
cnf(538,plain,
( ~ m1_filter_0(u,skc20)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(mrr,[status(thm)],[281,1,85]),
[iquote('0:MRR:281.0,281.3,1.0,85.0')] ).
cnf(539,plain,
( ~ m2_lattice4(u,skc20)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(mrr,[status(thm)],[282,1,85]),
[iquote('0:MRR:282.0,282.2,1.0,85.0')] ).
cnf(540,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| m1_subset_1(u,u1_struct_0(k1_lattice2(skc20))) ),
inference(mrr,[status(thm)],[274,1,85]),
[iquote('0:MRR:274.0,274.3,1.0,85.0')] ).
cnf(541,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| m2_filter_2(k8_filter_2(skc20,u),skc20) ),
inference(mrr,[status(thm)],[275,1,85]),
[iquote('0:MRR:275.0,275.3,1.0,85.0')] ).
cnf(542,plain,
( ~ m2_filter_2(u,skc20)
| m1_filter_2(k7_filter_2(skc20,u),k1_lattice2(skc20)) ),
inference(mrr,[status(thm)],[278,1,85]),
[iquote('0:MRR:278.0,278.3,1.0,85.0')] ).
cnf(544,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20)))
| equal(k7_filter_2(skc20,u),u) ),
inference(mrr,[status(thm)],[277,1,85]),
[iquote('0:MRR:277.0,277.2,1.0,85.0')] ).
cnf(549,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc20))))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(mrr,[status(thm)],[270,1,85]),
[iquote('0:MRR:270.0,270.3,1.0,85.0')] ).
cnf(550,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc20))))
| equal(k8_filter_2(skc20,u),u) ),
inference(mrr,[status(thm)],[273,1,85]),
[iquote('0:MRR:273.0,273.2,1.0,85.0')] ).
cnf(553,plain,
( ~ m2_filter_2(u,skc20)
| ~ v1_filter_0(k7_filter_2(skc20,u),k1_lattice2(skc20))
| r2_filter_2(skc20,u) ),
inference(mrr,[status(thm)],[272,1,85]),
[iquote('0:MRR:272.0,272.4,1.0,85.0')] ).
cnf(554,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| ~ m1_subset_1(v,u1_struct_0(skc20))
| equal(v,u)
| v1_filter_0(skf23(skc20,w,x),skc20) ),
inference(mrr,[status(thm)],[351,2,3,85]),
[iquote('0:MRR:351.0,351.1,351.5,2.0,3.0,85.0')] ).
cnf(555,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| ~ m1_subset_1(v,u1_struct_0(skc20))
| equal(v,u)
| m1_filter_0(skf23(skc20,w,x),skc20) ),
inference(mrr,[status(thm)],[350,2,3,85]),
[iquote('0:MRR:350.0,350.1,350.5,2.0,3.0,85.0')] ).
cnf(558,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| ~ m1_subset_1(v,u1_struct_0(skc20))
| equal(v,u) ),
inference(spt,[spt(split,[position(s1)])],[554]),
[iquote('1:Spt:554.0,554.1,554.2')] ).
cnf(559,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skc21) ),
inference(res,[status(thm),theory(equality)],[97,558]),
[iquote('1:Res:97.0,558.0')] ).
cnf(581,plain,
~ v1_xboole_0(skf13(skc20)),
inference(res,[status(thm),theory(equality)],[513,536]),
[iquote('0:Res:513.0,536.1')] ).
cnf(582,plain,
~ v1_xboole_0(skf12(skc20)),
inference(res,[status(thm),theory(equality)],[512,535]),
[iquote('0:Res:512.0,535.1')] ).
cnf(583,plain,
~ v1_xboole_0(skf16(skc20)),
inference(res,[status(thm),theory(equality)],[514,537]),
[iquote('0:Res:514.0,537.1')] ).
cnf(585,plain,
m1_filter_0(skf13(skc20),skc20),
inference(res,[status(thm),theory(equality)],[513,533]),
[iquote('0:Res:513.0,533.0')] ).
cnf(589,plain,
equal(skc22,skc21),
inference(res,[status(thm),theory(equality)],[96,559]),
[iquote('1:Res:96.0,559.0')] ).
cnf(591,plain,
$false,
inference(mrr,[status(thm)],[589,98]),
[iquote('1:MRR:589.0,98.0')] ).
cnf(593,plain,
v1_filter_0(skf23(skc20,u,v),skc20),
inference(spt,[spt(split,[position(s2)])],[554]),
[iquote('1:Spt:591.0,554.3')] ).
cnf(594,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| ~ m1_subset_1(v,u1_struct_0(skc20))
| equal(v,u) ),
inference(spt,[spt(split,[position(s2s1)])],[555]),
[iquote('2:Spt:555.0,555.1,555.2')] ).
cnf(595,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skc21) ),
inference(res,[status(thm),theory(equality)],[97,594]),
[iquote('2:Res:97.0,594.0')] ).
cnf(599,plain,
equal(skc22,skc21),
inference(res,[status(thm),theory(equality)],[96,595]),
[iquote('2:Res:96.0,595.0')] ).
cnf(601,plain,
$false,
inference(mrr,[status(thm)],[599,98]),
[iquote('2:MRR:599.0,98.0')] ).
cnf(603,plain,
m1_filter_0(skf23(skc20,u,v),skc20),
inference(spt,[spt(split,[position(s2s2)])],[555]),
[iquote('2:Spt:601.0,555.3')] ).
cnf(642,plain,
( ~ m2_lattice4(u,skc20)
| equal(k7_filter_2(skc20,u),u) ),
inference(res,[status(thm),theory(equality)],[539,544]),
[iquote('0:Res:539.1,544.0')] ).
cnf(654,plain,
( ~ m2_lattice4(u,skc20)
| ~ m2_filter_2(u,skc20)
| m1_filter_2(u,k1_lattice2(skc20)) ),
inference(spr,[status(thm),theory(equality)],[642,542]),
[iquote('0:SpR:642.1,542.1')] ).
cnf(660,plain,
( ~ m2_filter_2(u,skc20)
| m1_filter_2(u,k1_lattice2(skc20)) ),
inference(mrr,[status(thm)],[654,532]),
[iquote('0:MRR:654.0,532.1')] ).
cnf(742,plain,
( ~ r2_hidden(u,skf20(v))
| m1_subset_1(u,v) ),
inference(res,[status(thm),theory(equality)],[107,172]),
[iquote('0:Res:107.0,172.1')] ).
cnf(750,plain,
( ~ m1_filter_0(u,skc20)
| ~ r2_hidden(v,u)
| m1_subset_1(v,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[538,172]),
[iquote('0:Res:538.1,172.1')] ).
cnf(751,plain,
( ~ m2_lattice4(u,skc20)
| ~ r2_hidden(v,u)
| m1_subset_1(v,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[539,172]),
[iquote('0:Res:539.1,172.1')] ).
cnf(754,plain,
( ~ m1_subset_1(u,skf20(v))
| v1_xboole_0(skf20(v))
| m1_subset_1(u,v) ),
inference(res,[status(thm),theory(equality)],[132,742]),
[iquote('0:Res:132.2,742.0')] ).
cnf(801,plain,
( v1_xboole_0(skf20(u))
| m1_subset_1(skf15(skf20(u)),u) ),
inference(res,[status(thm),theory(equality)],[99,754]),
[iquote('0:Res:99.0,754.0')] ).
cnf(1012,plain,
( ~ r2_hidden(u,skf12(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[512,750]),
[iquote('0:Res:512.0,750.0')] ).
cnf(1013,plain,
( ~ r2_hidden(u,skf13(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[585,750]),
[iquote('0:Res:585.0,750.0')] ).
cnf(1017,plain,
( ~ m1_subset_1(u,skf12(skc20))
| v1_xboole_0(skf12(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,1012]),
[iquote('0:Res:132.2,1012.0')] ).
cnf(1018,plain,
( ~ m1_subset_1(u,skf12(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[1017,582]),
[iquote('0:MRR:1017.1,582.0')] ).
cnf(1019,plain,
( ~ m1_subset_1(u,skf13(skc20))
| v1_xboole_0(skf13(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,1013]),
[iquote('0:Res:132.2,1013.0')] ).
cnf(1020,plain,
( ~ m1_subset_1(u,skf13(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[1019,581]),
[iquote('0:MRR:1019.1,581.0')] ).
cnf(1022,plain,
( v1_xboole_0(skf20(skf12(skc20)))
| m1_subset_1(skf15(skf20(skf12(skc20))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,1018]),
[iquote('0:Res:801.1,1018.0')] ).
cnf(1030,plain,
( v1_xboole_0(skf20(skf13(skc20)))
| m1_subset_1(skf15(skf20(skf13(skc20))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,1020]),
[iquote('0:Res:801.1,1020.0')] ).
cnf(1037,plain,
v1_xboole_0(skf20(skf12(skc20))),
inference(spt,[spt(split,[position(s2s2s1)])],[1022]),
[iquote('3:Spt:1022.0')] ).
cnf(1042,plain,
v1_xboole_0(skf12(skc20)),
inference(res,[status(thm),theory(equality)],[1037,115]),
[iquote('3:Res:1037.0,115.0')] ).
cnf(1043,plain,
$false,
inference(mrr,[status(thm)],[1042,582]),
[iquote('3:MRR:1042.0,582.0')] ).
cnf(1047,plain,
~ v1_xboole_0(skf20(skf12(skc20))),
inference(spt,[spt(split,[position(s2s2sa)])],[1043,1037]),
[iquote('3:Spt:1043.0,1022.0,1037.0')] ).
cnf(1048,plain,
m1_subset_1(skf15(skf20(skf12(skc20))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2)])],[1022]),
[iquote('3:Spt:1043.0,1022.1')] ).
cnf(1068,plain,
v1_xboole_0(skf20(skf13(skc20))),
inference(spt,[spt(split,[position(s2s2s2s1)])],[1030]),
[iquote('4:Spt:1030.0')] ).
cnf(1073,plain,
v1_xboole_0(skf13(skc20)),
inference(res,[status(thm),theory(equality)],[1068,115]),
[iquote('4:Res:1068.0,115.0')] ).
cnf(1074,plain,
$false,
inference(mrr,[status(thm)],[1073,581]),
[iquote('4:MRR:1073.0,581.0')] ).
cnf(1078,plain,
~ v1_xboole_0(skf20(skf13(skc20))),
inference(spt,[spt(split,[position(s2s2s2sa)])],[1074,1068]),
[iquote('4:Spt:1074.0,1030.0,1068.0')] ).
cnf(1079,plain,
m1_subset_1(skf15(skf20(skf13(skc20))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2)])],[1030]),
[iquote('4:Spt:1074.0,1030.1')] ).
cnf(1157,plain,
( ~ r2_hidden(u,skf19(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[516,751]),
[iquote('0:Res:516.0,751.0')] ).
cnf(1159,plain,
( ~ m2_filter_2(u,skc20)
| ~ r2_hidden(v,u)
| m1_subset_1(v,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[532,751]),
[iquote('0:Res:532.1,751.0')] ).
cnf(1163,plain,
( ~ m1_subset_1(u,skf19(skc20))
| v1_xboole_0(skf19(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,1157]),
[iquote('0:Res:132.2,1157.0')] ).
cnf(1165,plain,
( ~ m1_subset_1(u,skf19(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[1163,101]),
[iquote('0:MRR:1163.1,101.0')] ).
cnf(1169,plain,
( v1_xboole_0(skf20(skf19(skc20)))
| m1_subset_1(skf15(skf20(skf19(skc20))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,1165]),
[iquote('0:Res:801.1,1165.0')] ).
cnf(1180,plain,
v1_xboole_0(skf20(skf19(skc20))),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[1169]),
[iquote('5:Spt:1169.0')] ).
cnf(1185,plain,
v1_xboole_0(skf19(skc20)),
inference(res,[status(thm),theory(equality)],[1180,115]),
[iquote('5:Res:1180.0,115.0')] ).
cnf(1186,plain,
$false,
inference(mrr,[status(thm)],[1185,101]),
[iquote('5:MRR:1185.0,101.0')] ).
cnf(1190,plain,
~ v1_xboole_0(skf20(skf19(skc20))),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[1186,1180]),
[iquote('5:Spt:1186.0,1169.0,1180.0')] ).
cnf(1191,plain,
m1_subset_1(skf15(skf20(skf19(skc20))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[1169]),
[iquote('5:Spt:1186.0,1169.1')] ).
cnf(1232,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m2_filter_2(u,skc20)
| v3_struct_0(k1_lattice2(skc20))
| m1_filter_0(u,k1_lattice2(skc20)) ),
inference(res,[status(thm),theory(equality)],[660,215]),
[iquote('0:Res:660.1,215.2')] ).
cnf(1233,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v3_struct_0(u)
| m1_filter_0(skf13(u),u) ),
inference(res,[status(thm),theory(equality)],[167,215]),
[iquote('0:Res:167.3,215.2')] ).
cnf(1235,plain,
( ~ m2_filter_2(u,skc20)
| v3_struct_0(k1_lattice2(skc20))
| m1_filter_0(u,k1_lattice2(skc20)) ),
inference(ssi,[status(thm)],[1232,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:1232.1,1232.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(1236,plain,
( ~ m2_filter_2(u,skc20)
| m1_filter_0(u,k1_lattice2(skc20)) ),
inference(mrr,[status(thm)],[1235,491]),
[iquote('0:MRR:1235.1,491.0')] ).
cnf(1237,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_filter_0(skf13(u),u) ),
inference(obv,[status(thm),theory(equality)],[1233]),
[iquote('0:Obv:1233.4')] ).
cnf(1333,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m2_lattice4(u,k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(res,[status(thm),theory(equality)],[219,549]),
[iquote('0:Res:219.4,549.0')] ).
cnf(1334,plain,
( ~ m2_lattice4(u,k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(ssi,[status(thm)],[1333,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:1333.1,1333.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(1335,plain,
( ~ m2_lattice4(u,k1_lattice2(skc20))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(mrr,[status(thm)],[1334,491]),
[iquote('0:MRR:1334.1,491.0')] ).
cnf(1359,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m1_filter_0(u,k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| equal(k8_filter_2(skc20,u),u) ),
inference(res,[status(thm),theory(equality)],[218,550]),
[iquote('0:Res:218.4,550.0')] ).
cnf(1360,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m1_filter_0(u,k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(res,[status(thm),theory(equality)],[218,549]),
[iquote('0:Res:218.4,549.0')] ).
cnf(1361,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(ssi,[status(thm)],[1360,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:1360.1,1360.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(1362,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc20))) ),
inference(mrr,[status(thm)],[1361,491]),
[iquote('0:MRR:1361.1,491.0')] ).
cnf(1363,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| equal(k8_filter_2(skc20,u),u) ),
inference(ssi,[status(thm)],[1359,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:1359.1,1359.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(1364,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| equal(k8_filter_2(skc20,u),u) ),
inference(mrr,[status(thm)],[1363,491]),
[iquote('0:MRR:1363.1,491.0')] ).
cnf(1365,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| m2_filter_2(u,skc20) ),
inference(rew,[status(thm),theory(equality)],[1364,541]),
[iquote('0:Rew:1364.1,541.1')] ).
cnf(1371,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| m2_filter_2(skf12(k1_lattice2(skc20)),skc20) ),
inference(res,[status(thm),theory(equality)],[166,1365]),
[iquote('0:Res:166.3,1365.0')] ).
cnf(1372,plain,
( v3_struct_0(k1_lattice2(skc20))
| m2_filter_2(skf12(k1_lattice2(skc20)),skc20) ),
inference(ssi,[status(thm)],[1371,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:1371.1,1371.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(1373,plain,
m2_filter_2(skf12(k1_lattice2(skc20)),skc20),
inference(mrr,[status(thm)],[1372,491]),
[iquote('0:MRR:1372.0,491.0')] ).
cnf(1374,plain,
~ v1_xboole_0(skf12(k1_lattice2(skc20))),
inference(res,[status(thm),theory(equality)],[1373,537]),
[iquote('0:Res:1373.0,537.1')] ).
cnf(1403,plain,
( ~ m2_lattice4(u,k1_lattice2(skc20))
| ~ r2_hidden(v,u)
| m1_subset_1(v,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[1335,172]),
[iquote('0:Res:1335.1,172.1')] ).
cnf(1411,plain,
( ~ m1_filter_0(u,k1_lattice2(skc20))
| equal(k7_filter_2(skc20,u),u) ),
inference(res,[status(thm),theory(equality)],[1362,544]),
[iquote('0:Res:1362.1,544.0')] ).
cnf(1490,plain,
( ~ m2_filter_2(u,skc20)
| equal(k7_filter_2(skc20,u),u) ),
inference(res,[status(thm),theory(equality)],[1236,1411]),
[iquote('0:Res:1236.1,1411.0')] ).
cnf(1498,plain,
( ~ m2_filter_2(u,skc20)
| ~ v1_filter_0(u,k1_lattice2(skc20))
| r2_filter_2(skc20,u) ),
inference(rew,[status(thm),theory(equality)],[1490,553]),
[iquote('0:Rew:1490.1,553.1')] ).
cnf(1715,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ r2_hidden(w,v)
| v3_struct_0(u)
| m1_subset_1(w,u1_struct_0(k1_lattice2(u))) ),
inference(res,[status(thm),theory(equality)],[263,172]),
[iquote('0:Res:263.4,172.1')] ).
cnf(1840,plain,
( ~ r2_hidden(u,skf16(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[514,1159]),
[iquote('0:Res:514.0,1159.0')] ).
cnf(1841,plain,
( ~ r2_hidden(u,skf12(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[1373,1159]),
[iquote('0:Res:1373.0,1159.0')] ).
cnf(1847,plain,
( ~ m1_subset_1(u,skf16(skc20))
| v1_xboole_0(skf16(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,1840]),
[iquote('0:Res:132.2,1840.0')] ).
cnf(1849,plain,
( ~ m1_subset_1(u,skf16(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[1847,583]),
[iquote('0:MRR:1847.1,583.0')] ).
cnf(1851,plain,
( v1_xboole_0(skf20(skf16(skc20)))
| m1_subset_1(skf15(skf20(skf16(skc20))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,1849]),
[iquote('0:Res:801.1,1849.0')] ).
cnf(1864,plain,
( ~ m1_subset_1(u,skf12(k1_lattice2(skc20)))
| v1_xboole_0(skf12(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,1841]),
[iquote('0:Res:132.2,1841.0')] ).
cnf(1866,plain,
( ~ m1_subset_1(u,skf12(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[1864,1374]),
[iquote('0:MRR:1864.1,1374.0')] ).
cnf(1868,plain,
( v1_xboole_0(skf20(skf12(k1_lattice2(skc20))))
| m1_subset_1(skf15(skf20(skf12(k1_lattice2(skc20)))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,1866]),
[iquote('0:Res:801.1,1866.0')] ).
cnf(1875,plain,
v1_xboole_0(skf20(skf16(skc20))),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[1851]),
[iquote('6:Spt:1851.0')] ).
cnf(1880,plain,
v1_xboole_0(skf16(skc20)),
inference(res,[status(thm),theory(equality)],[1875,115]),
[iquote('6:Res:1875.0,115.0')] ).
cnf(1881,plain,
$false,
inference(mrr,[status(thm)],[1880,583]),
[iquote('6:MRR:1880.0,583.0')] ).
cnf(1885,plain,
~ v1_xboole_0(skf20(skf16(skc20))),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[1881,1875]),
[iquote('6:Spt:1881.0,1851.0,1875.0')] ).
cnf(1886,plain,
m1_subset_1(skf15(skf20(skf16(skc20))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[1851]),
[iquote('6:Spt:1881.0,1851.1')] ).
cnf(2083,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| v3_struct_0(k1_lattice2(skc20))
| m2_filter_2(skf13(k1_lattice2(skc20)),skc20) ),
inference(res,[status(thm),theory(equality)],[1237,1365]),
[iquote('0:Res:1237.3,1365.0')] ).
cnf(2087,plain,
( v3_struct_0(k1_lattice2(skc20))
| m2_filter_2(skf13(k1_lattice2(skc20)),skc20) ),
inference(ssi,[status(thm)],[2083,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:2083.1,2083.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(2088,plain,
m2_filter_2(skf13(k1_lattice2(skc20)),skc20),
inference(mrr,[status(thm)],[2087,491]),
[iquote('0:MRR:2087.0,491.0')] ).
cnf(2131,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,skf15(u1_struct_0(u)))
| v1_filter_0(skf23(u,w,x),u) ),
inference(res,[status(thm),theory(equality)],[99,243]),
[iquote('0:Res:99.0,243.3')] ).
cnf(2142,plain,
( ~ r2_hidden(u,skf13(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[2088,1159]),
[iquote('0:Res:2088.0,1159.0')] ).
cnf(2143,plain,
~ v1_xboole_0(skf13(k1_lattice2(skc20))),
inference(res,[status(thm),theory(equality)],[2088,537]),
[iquote('0:Res:2088.0,537.1')] ).
cnf(2147,plain,
( ~ m1_subset_1(u,skf13(k1_lattice2(skc20)))
| v1_xboole_0(skf13(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,2142]),
[iquote('0:Res:132.2,2142.0')] ).
cnf(2149,plain,
( ~ m1_subset_1(u,skf13(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[2147,2143]),
[iquote('0:MRR:2147.1,2143.0')] ).
cnf(2185,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,skf15(u1_struct_0(u)))
| m1_filter_0(skf23(u,w,x),u) ),
inference(res,[status(thm),theory(equality)],[99,244]),
[iquote('0:Res:99.0,244.3')] ).
cnf(2197,plain,
( v1_xboole_0(skf20(skf13(k1_lattice2(skc20))))
| m1_subset_1(skf15(skf20(skf13(k1_lattice2(skc20)))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,2149]),
[iquote('0:Res:801.1,2149.0')] ).
cnf(2321,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| equal(w,v)
| r2_hidden(v,skf23(u,w,v))
| r2_hidden(w,skf23(u,w,v)) ),
inference(res,[status(thm),theory(equality)],[245,124]),
[iquote('0:Res:245.8,124.0')] ).
cnf(2669,plain,
v1_xboole_0(skf20(skf12(k1_lattice2(skc20)))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[1868]),
[iquote('7:Spt:1868.0')] ).
cnf(2674,plain,
v1_xboole_0(skf12(k1_lattice2(skc20))),
inference(res,[status(thm),theory(equality)],[2669,115]),
[iquote('7:Res:2669.0,115.0')] ).
cnf(2675,plain,
$false,
inference(mrr,[status(thm)],[2674,1374]),
[iquote('7:MRR:2674.0,1374.0')] ).
cnf(2679,plain,
~ v1_xboole_0(skf20(skf12(k1_lattice2(skc20)))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2sa)])],[2675,2669]),
[iquote('7:Spt:2675.0,1868.0,2669.0')] ).
cnf(2680,plain,
m1_subset_1(skf15(skf20(skf12(k1_lattice2(skc20)))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[1868]),
[iquote('7:Spt:2675.0,1868.1')] ).
cnf(2888,plain,
v1_xboole_0(skf20(skf13(k1_lattice2(skc20)))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s1)])],[2197]),
[iquote('8:Spt:2197.0')] ).
cnf(2893,plain,
v1_xboole_0(skf13(k1_lattice2(skc20))),
inference(res,[status(thm),theory(equality)],[2888,115]),
[iquote('8:Res:2888.0,115.0')] ).
cnf(2894,plain,
$false,
inference(mrr,[status(thm)],[2893,2143]),
[iquote('8:MRR:2893.0,2143.0')] ).
cnf(2898,plain,
~ v1_xboole_0(skf20(skf13(k1_lattice2(skc20)))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2sa)])],[2894,2888]),
[iquote('8:Spt:2894.0,2197.0,2888.0')] ).
cnf(2899,plain,
m1_subset_1(skf15(skf20(skf13(k1_lattice2(skc20)))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2)])],[2197]),
[iquote('8:Spt:2894.0,2197.1')] ).
cnf(3390,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ r2_hidden(u,skf19(k1_lattice2(skc20)))
| v3_struct_0(k1_lattice2(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[171,1403]),
[iquote('0:Res:171.3,1403.0')] ).
cnf(3396,plain,
( ~ r2_hidden(u,skf19(k1_lattice2(skc20)))
| v3_struct_0(k1_lattice2(skc20))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(ssi,[status(thm)],[3390,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:3390.1,3390.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(3397,plain,
( ~ r2_hidden(u,skf19(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[3396,491]),
[iquote('0:MRR:3396.1,491.0')] ).
cnf(3405,plain,
( ~ m1_subset_1(u,skf19(k1_lattice2(skc20)))
| v1_xboole_0(skf19(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[132,3397]),
[iquote('0:Res:132.2,3397.0')] ).
cnf(3408,plain,
( ~ m1_subset_1(u,skf19(k1_lattice2(skc20)))
| m1_subset_1(u,u1_struct_0(skc20)) ),
inference(mrr,[status(thm)],[3405,101]),
[iquote('0:MRR:3405.1,101.0')] ).
cnf(3444,plain,
( v1_xboole_0(skf20(skf19(k1_lattice2(skc20))))
| m1_subset_1(skf15(skf20(skf19(k1_lattice2(skc20)))),u1_struct_0(skc20)) ),
inference(res,[status(thm),theory(equality)],[801,3408]),
[iquote('0:Res:801.1,3408.0')] ).
cnf(3515,plain,
v1_xboole_0(skf20(skf19(k1_lattice2(skc20)))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s1)])],[3444]),
[iquote('9:Spt:3444.0')] ).
cnf(3520,plain,
v1_xboole_0(skf19(k1_lattice2(skc20))),
inference(res,[status(thm),theory(equality)],[3515,115]),
[iquote('9:Res:3515.0,115.0')] ).
cnf(3521,plain,
$false,
inference(mrr,[status(thm)],[3520,101]),
[iquote('9:MRR:3520.0,101.0')] ).
cnf(3525,plain,
~ v1_xboole_0(skf20(skf19(k1_lattice2(skc20)))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2sa)])],[3521,3515]),
[iquote('9:Spt:3521.0,3444.0,3515.0')] ).
cnf(3526,plain,
m1_subset_1(skf15(skf20(skf19(k1_lattice2(skc20)))),u1_struct_0(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2)])],[3444]),
[iquote('9:Spt:3521.0,3444.1')] ).
cnf(4709,plain,
( ~ v10_lattices(skc20)
| ~ l3_lattices(skc20)
| ~ m1_filter_0(u,skc20)
| ~ r2_hidden(v,u)
| v3_struct_0(skc20)
| m1_subset_1(v,u1_struct_0(k1_lattice2(skc20))) ),
inference(res,[status(thm),theory(equality)],[538,1715]),
[iquote('0:Res:538.1,1715.2')] ).
cnf(4716,plain,
( ~ m1_filter_0(u,skc20)
| ~ r2_hidden(v,u)
| v3_struct_0(skc20)
| m1_subset_1(v,u1_struct_0(k1_lattice2(skc20))) ),
inference(ssi,[status(thm)],[4709,2,1,3,519,504,500,502,501,497,496,503,495,494,493,492,328,327]),
[iquote('0:SSi:4709.1,4709.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0')] ).
cnf(4717,plain,
( ~ m1_filter_0(u,skc20)
| ~ r2_hidden(v,u)
| m1_subset_1(v,u1_struct_0(k1_lattice2(skc20))) ),
inference(mrr,[status(thm)],[4716,85]),
[iquote('0:MRR:4716.2,85.0')] ).
cnf(4961,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v17_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m1_subset_1(u,u1_struct_0(skc20))
| v3_struct_0(k1_lattice2(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20))))
| v1_filter_0(skf23(k1_lattice2(skc20),v,w),k1_lattice2(skc20)) ),
inference(res,[status(thm),theory(equality)],[540,2131]),
[iquote('0:Res:540.1,2131.3')] ).
cnf(4987,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| v3_struct_0(k1_lattice2(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20))))
| v1_filter_0(skf23(k1_lattice2(skc20),v,w),k1_lattice2(skc20)) ),
inference(ssi,[status(thm)],[4961,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:4961.2,4961.1,4961.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(4988,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20))))
| v1_filter_0(skf23(k1_lattice2(skc20),v,w),k1_lattice2(skc20)) ),
inference(mrr,[status(thm)],[4987,491]),
[iquote('0:MRR:4987.1,491.0')] ).
cnf(5133,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v17_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m1_subset_1(u,u1_struct_0(skc20))
| v3_struct_0(k1_lattice2(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20))))
| m1_filter_0(skf23(k1_lattice2(skc20),v,w),k1_lattice2(skc20)) ),
inference(res,[status(thm),theory(equality)],[540,2185]),
[iquote('0:Res:540.1,2185.3')] ).
cnf(5159,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| v3_struct_0(k1_lattice2(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20))))
| m1_filter_0(skf23(k1_lattice2(skc20),v,w),k1_lattice2(skc20)) ),
inference(ssi,[status(thm)],[5133,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('0:SSi:5133.2,5133.1,5133.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(5160,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20))))
| m1_filter_0(skf23(k1_lattice2(skc20),v,w),k1_lattice2(skc20)) ),
inference(mrr,[status(thm)],[5159,491]),
[iquote('0:MRR:5159.1,491.0')] ).
cnf(5197,plain,
( ~ r2_hidden(u,skf23(skc20,v,w))
| m1_subset_1(u,u1_struct_0(k1_lattice2(skc20))) ),
inference(res,[status(thm),theory(equality)],[603,4717]),
[iquote('2:Res:603.0,4717.0')] ).
cnf(5254,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| v3_struct_0(u)
| r2_hidden(skc22,skf23(u,skc21,skc22))
| r2_hidden(skc21,skf23(u,skc21,skc22)) ),
inference(res,[status(thm),theory(equality)],[486,124]),
[iquote('0:Res:486.7,124.0')] ).
cnf(5370,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| ~ r2_hidden(skc21,skf23(u,skc21,skc22))
| ~ r2_hidden(skc22,skf23(u,skc21,skc22))
| v3_struct_0(u) ),
inference(res,[status(thm),theory(equality)],[485,133]),
[iquote('0:Res:485.7,133.1')] ).
cnf(5413,plain,
( ~ l3_lattices(skc20)
| ~ v17_lattices(skc20)
| ~ v10_lattices(skc20)
| ~ m1_subset_1(u,u1_struct_0(skc20))
| v3_struct_0(skc20)
| equal(u,skc22)
| r2_hidden(skc22,skf23(skc20,u,skc22))
| r2_hidden(u,skf23(skc20,u,skc22)) ),
inference(res,[status(thm),theory(equality)],[96,2321]),
[iquote('0:Res:96.0,2321.3')] ).
cnf(5502,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| v3_struct_0(skc20)
| equal(u,skc22)
| r2_hidden(skc22,skf23(skc20,u,skc22))
| r2_hidden(u,skf23(skc20,u,skc22)) ),
inference(ssi,[status(thm)],[5413,2,1,3,519,504,500,502,501,497,496,503,495,494,493,492,328,327]),
[iquote('0:SSi:5413.2,5413.1,5413.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0')] ).
cnf(5503,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skc22)
| r2_hidden(skc22,skf23(skc20,u,skc22))
| r2_hidden(u,skf23(skc20,u,skc22)) ),
inference(mrr,[status(thm)],[5502,85]),
[iquote('0:MRR:5502.1,85.0')] ).
cnf(11239,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20)))) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s1)])],[4988]),
[iquote('10:Spt:4988.0,4988.1')] ).
cnf(11243,plain,
equal(skf15(u1_struct_0(k1_lattice2(skc20))),skc21),
inference(res,[status(thm),theory(equality)],[97,11239]),
[iquote('10:Res:97.0,11239.0')] ).
cnf(11244,plain,
equal(skf15(u1_struct_0(k1_lattice2(skc20))),skc22),
inference(res,[status(thm),theory(equality)],[96,11239]),
[iquote('10:Res:96.0,11239.0')] ).
cnf(11402,plain,
equal(skc22,skc21),
inference(rew,[status(thm),theory(equality)],[11243,11244]),
[iquote('10:Rew:11243.0,11244.0')] ).
cnf(11403,plain,
$false,
inference(mrr,[status(thm)],[11402,98]),
[iquote('10:MRR:11402.0,98.0')] ).
cnf(12155,plain,
v1_filter_0(skf23(k1_lattice2(skc20),u,v),k1_lattice2(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2)])],[4988]),
[iquote('10:Spt:11403.0,4988.2')] ).
cnf(12156,plain,
( ~ m2_filter_2(skf23(k1_lattice2(skc20),u,v),skc20)
| r2_filter_2(skc20,skf23(k1_lattice2(skc20),u,v)) ),
inference(res,[status(thm),theory(equality)],[12155,1498]),
[iquote('10:Res:12155.0,1498.1')] ).
cnf(12311,plain,
( ~ m1_subset_1(u,u1_struct_0(skc20))
| equal(u,skf15(u1_struct_0(k1_lattice2(skc20)))) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s1)])],[5160]),
[iquote('11:Spt:5160.0,5160.1')] ).
cnf(12315,plain,
equal(skf15(u1_struct_0(k1_lattice2(skc20))),skc21),
inference(res,[status(thm),theory(equality)],[97,12311]),
[iquote('11:Res:97.0,12311.0')] ).
cnf(12316,plain,
equal(skf15(u1_struct_0(k1_lattice2(skc20))),skc22),
inference(res,[status(thm),theory(equality)],[96,12311]),
[iquote('11:Res:96.0,12311.0')] ).
cnf(12382,plain,
equal(skc22,skc21),
inference(rew,[status(thm),theory(equality)],[12315,12316]),
[iquote('11:Rew:12315.0,12316.0')] ).
cnf(12383,plain,
$false,
inference(mrr,[status(thm)],[12382,98]),
[iquote('11:MRR:12382.0,98.0')] ).
cnf(12588,plain,
m1_filter_0(skf23(k1_lattice2(skc20),u,v),k1_lattice2(skc20)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2)])],[5160]),
[iquote('11:Spt:12383.0,5160.2')] ).
cnf(12594,plain,
m2_filter_2(skf23(k1_lattice2(skc20),u,v),skc20),
inference(res,[status(thm),theory(equality)],[12588,1365]),
[iquote('11:Res:12588.0,1365.0')] ).
cnf(12601,plain,
r2_filter_2(skc20,skf23(k1_lattice2(skc20),u,v)),
inference(mrr,[status(thm)],[12156,12594]),
[iquote('11:MRR:12156.0,12594.0')] ).
cnf(13368,plain,
( equal(skc22,skc21)
| r2_hidden(skc22,skf23(skc20,skc21,skc22))
| r2_hidden(skc21,skf23(skc20,skc21,skc22)) ),
inference(res,[status(thm),theory(equality)],[97,5503]),
[iquote('0:Res:97.0,5503.0')] ).
cnf(13427,plain,
( r2_hidden(skc22,skf23(skc20,skc21,skc22))
| r2_hidden(skc21,skf23(skc20,skc21,skc22)) ),
inference(mrr,[status(thm)],[13368,98]),
[iquote('0:MRR:13368.0,98.0')] ).
cnf(14384,plain,
( r2_hidden(skc21,skf23(skc20,skc21,skc22))
| m1_subset_1(skc22,u1_struct_0(k1_lattice2(skc20))) ),
inference(res,[status(thm),theory(equality)],[13427,5197]),
[iquote('2:Res:13427.0,5197.0')] ).
cnf(14388,plain,
r2_hidden(skc21,skf23(skc20,skc21,skc22)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s1)])],[14384]),
[iquote('12:Spt:14384.0')] ).
cnf(14394,plain,
m1_subset_1(skc21,u1_struct_0(k1_lattice2(skc20))),
inference(res,[status(thm),theory(equality)],[14388,5197]),
[iquote('12:Res:14388.0,5197.0')] ).
cnf(15672,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| ~ m2_filter_2(skf23(u,skc21,skc22),skc20)
| ~ r2_filter_2(skc20,skf23(u,skc21,skc22))
| v3_struct_0(u)
| r2_hidden(skc21,skf23(u,skc21,skc22))
| r2_hidden(skc21,skf23(u,skc21,skc22)) ),
inference(res,[status(thm),theory(equality)],[5254,207]),
[iquote('0:Res:5254.6,207.2')] ).
cnf(15677,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| ~ m2_filter_2(skf23(u,skc21,skc22),skc20)
| ~ r2_filter_2(skc20,skf23(u,skc21,skc22))
| v3_struct_0(u)
| r2_hidden(skc21,skf23(u,skc21,skc22)) ),
inference(obv,[status(thm),theory(equality)],[15672]),
[iquote('0:Obv:15672.8')] ).
cnf(45859,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(skf23(u,skc21,skc22),skc20)
| ~ r2_filter_2(skc20,skf23(u,skc21,skc22))
| ~ r2_hidden(skc21,skf23(u,skc21,skc22))
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| ~ r2_hidden(skc21,skf23(u,skc21,skc22))
| v3_struct_0(u) ),
inference(res,[status(thm),theory(equality)],[206,5370]),
[iquote('0:Res:206.3,5370.6')] ).
cnf(45862,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(skf23(u,skc21,skc22),skc20)
| ~ r2_filter_2(skc20,skf23(u,skc21,skc22))
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| ~ r2_hidden(skc21,skf23(u,skc21,skc22))
| v3_struct_0(u) ),
inference(obv,[status(thm),theory(equality)],[45859]),
[iquote('0:Obv:45859.5')] ).
cnf(45863,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(skf23(u,skc21,skc22),skc20)
| ~ r2_filter_2(skc20,skf23(u,skc21,skc22))
| ~ m1_subset_1(skc22,u1_struct_0(u))
| ~ m1_subset_1(skc21,u1_struct_0(u))
| v3_struct_0(u) ),
inference(mrr,[status(thm)],[45862,15677]),
[iquote('0:MRR:45862.7,15677.8')] ).
cnf(50294,plain,
( ~ l3_lattices(k1_lattice2(skc20))
| ~ v17_lattices(k1_lattice2(skc20))
| ~ v10_lattices(k1_lattice2(skc20))
| ~ m2_filter_2(skf23(k1_lattice2(skc20),skc21,skc22),skc20)
| ~ m1_subset_1(skc22,u1_struct_0(k1_lattice2(skc20)))
| ~ m1_subset_1(skc21,u1_struct_0(k1_lattice2(skc20)))
| v3_struct_0(k1_lattice2(skc20)) ),
inference(res,[status(thm),theory(equality)],[12601,45863]),
[iquote('11:Res:12601.0,45863.4')] ).
cnf(50295,plain,
( ~ m2_filter_2(skf23(k1_lattice2(skc20),skc21,skc22),skc20)
| ~ m1_subset_1(skc22,u1_struct_0(k1_lattice2(skc20)))
| ~ m1_subset_1(skc21,u1_struct_0(k1_lattice2(skc20)))
| v3_struct_0(k1_lattice2(skc20)) ),
inference(ssi,[status(thm)],[50294,521,525,520,523,522,510,509,524,325,508,507,506,505,526,511,326]),
[iquote('11:SSi:50294.2,50294.1,50294.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0,521.0,525.0,520.0,523.0,522.0,510.0,509.0,524.0,325.0,508.0,507.0,506.0,505.0,526.0,511.0,326.0')] ).
cnf(50296,plain,
~ m1_subset_1(skc22,u1_struct_0(k1_lattice2(skc20))),
inference(mrr,[status(thm)],[50295,12594,14394,491]),
[iquote('12:MRR:50295.0,50295.2,50295.3,12594.0,14394.0,491.0')] ).
cnf(50338,plain,
( ~ v10_lattices(skc20)
| ~ l3_lattices(skc20)
| ~ m1_subset_1(skc22,u1_struct_0(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[257,50296]),
[iquote('12:Res:257.4,50296.0')] ).
cnf(50348,plain,
( ~ m1_subset_1(skc22,u1_struct_0(skc20))
| v3_struct_0(skc20) ),
inference(ssi,[status(thm)],[50338,2,1,3,519,504,500,502,501,497,496,503,495,494,493,492,328,327]),
[iquote('12:SSi:50338.1,50338.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0')] ).
cnf(50349,plain,
$false,
inference(mrr,[status(thm)],[50348,96,85]),
[iquote('12:MRR:50348.0,50348.1,96.0,85.0')] ).
cnf(50350,plain,
~ r2_hidden(skc21,skf23(skc20,skc21,skc22)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2sa)])],[50349,14388]),
[iquote('12:Spt:50349.0,14384.0,14388.0')] ).
cnf(50351,plain,
m1_subset_1(skc22,u1_struct_0(k1_lattice2(skc20))),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2)])],[14384]),
[iquote('12:Spt:50349.0,14384.1')] ).
cnf(50358,plain,
( ~ m1_subset_1(skc22,u1_struct_0(k1_lattice2(skc20)))
| ~ m1_subset_1(skc21,u1_struct_0(k1_lattice2(skc20))) ),
inference(mrr,[status(thm)],[50295,12594,491]),
[iquote('11:MRR:50295.0,50295.3,12594.0,491.0')] ).
cnf(50359,plain,
~ m1_subset_1(skc21,u1_struct_0(k1_lattice2(skc20))),
inference(mrr,[status(thm)],[50358,50351]),
[iquote('12:MRR:50358.0,50351.0')] ).
cnf(50717,plain,
( ~ v10_lattices(skc20)
| ~ l3_lattices(skc20)
| ~ m1_subset_1(skc21,u1_struct_0(skc20))
| v3_struct_0(skc20) ),
inference(res,[status(thm),theory(equality)],[257,50359]),
[iquote('12:Res:257.4,50359.0')] ).
cnf(50727,plain,
( ~ m1_subset_1(skc21,u1_struct_0(skc20))
| v3_struct_0(skc20) ),
inference(ssi,[status(thm)],[50717,2,1,3,519,504,500,502,501,497,496,503,495,494,493,492,328,327]),
[iquote('12:SSi:50717.1,50717.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0,2.0,1.0,3.0,519.0,504.0,500.0,502.0,501.0,497.0,496.0,503.0,495.0,494.0,493.0,492.0,328.0,327.0')] ).
cnf(50728,plain,
$false,
inference(mrr,[status(thm)],[50727,97,85]),
[iquote('12:MRR:50727.0,50727.1,97.0,85.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT324+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 09:48:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 55.50/55.71
% 55.50/55.71 SPASS V 3.9
% 55.50/55.71 SPASS beiseite: Proof found.
% 55.50/55.71 % SZS status Theorem
% 55.50/55.71 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.50/55.71 SPASS derived 38584 clauses, backtracked 7366 clauses, performed 79 splits and kept 18558 clauses.
% 55.50/55.71 SPASS allocated 146304 KBytes.
% 55.50/55.71 SPASS spent 0:0:55.30 on the problem.
% 55.50/55.71 0:00:00.04 for the input.
% 55.50/55.71 0:00:00.07 for the FLOTTER CNF translation.
% 55.50/55.71 0:00:00.87 for inferences.
% 55.50/55.71 0:00:04.37 for the backtracking.
% 55.50/55.71 0:0:49.31 for the reduction.
% 55.50/55.71
% 55.50/55.71
% 55.50/55.71 Here is a proof with depth 8, length 352 :
% 55.50/55.71 % SZS output start Refutation
% See solution above
% 59.23/59.43 Formulae used in the proof : t60_filter_2 existence_m1_subset_1 rc1_lattice4 rc2_xboole_0 dt_l3_lattices rc1_subset_1 dt_k1_lattice2 t60_filter_0 fc1_lattice2 t2_subset cc1_lattices cc5_lattices fc6_lattice2 existence_m1_filter_0 existence_m1_filter_2 existence_m2_filter_2 t4_subset cc7_lattices fc4_filter_2 dt_m1_filter_0 dt_m1_filter_2 dt_m2_filter_2 redefinition_m1_filter_2 dt_m2_lattice4 d4_filter_2 dt_k14_filter_2 dt_k15_filter_2 d6_filter_2 redefinition_k15_filter_2 redefinition_k14_filter_2 dt_k5_filter_2 d7_filter_2 t33_filter_2 dt_k8_filter_2 dt_k7_filter_2
% 59.23/59.43
%------------------------------------------------------------------------------