TSTP Solution File: LAT306+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT306+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:50:29 EDT 2022
% Result : Theorem 29.53s 29.73s
% Output : Refutation 30.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 58
% Syntax : Number of clauses : 208 ( 52 unt; 104 nHn; 208 RR)
% Number of literals : 676 ( 0 equ; 375 neg)
% Maximal clause size : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc15),
file('LAT306+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc15),
file('LAT306+1.p',unknown),
[] ).
cnf(3,axiom,
v14_lattices(skc15),
file('LAT306+1.p',unknown),
[] ).
cnf(44,axiom,
~ v3_struct_0(skc15),
file('LAT306+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ l1_lattices(u)
| v1_funct_1(u1_lattices(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l2_lattices(u)
| v1_funct_1(u2_lattices(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('LAT306+1.p',unknown),
[] ).
cnf(86,axiom,
~ r1_filter_2(u1_struct_0(skc15),k17_filter_2(skc15),k18_filter_2(skc15,k6_lattices(skc15))),
file('LAT306+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ l1_lattices(u)
| v3_struct_0(u)
| m1_subset_1(k5_lattices(u),u1_struct_0(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ l2_lattices(u)
| v3_struct_0(u)
| m1_subset_1(k6_lattices(u),u1_struct_0(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('LAT306+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ l2_lattices(u)
| ~ v4_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u2_lattices(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ l1_lattices(u)
| ~ v6_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u1_lattices(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m2_filter_2(k17_filter_2(u),u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| m1_filter_0(k1_filter_0(u),u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),u1_struct_0(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ l3_lattices(u)
| equal(g3_lattices(u1_struct_0(u),u1_lattices(u),u2_lattices(u)),k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(u1_struct_0(u),k17_filter_2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(132,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('LAT306+1.p',unknown),
[] ).
cnf(133,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('LAT306+1.p',unknown),
[] ).
cnf(134,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('LAT306+1.p',unknown),
[] ).
cnf(135,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('LAT306+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),k1_filter_2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v14_lattices(u)
| v3_struct_0(u)
| v13_lattices(k1_lattice2(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| equal(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u)),u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(148,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(v)
| ~ m2_filter_2(v,u)
| v3_struct_0(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(149,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_filter_0(v,u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(153,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('LAT306+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ l3_lattices(u)
| ~ v14_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k5_lattices(k1_lattice2(u)),k6_lattices(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(k5_filter_2(u,v),v) ),
file('LAT306+1.p',unknown),
[] ).
cnf(156,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| m2_filter_2(k18_filter_2(u,v),u)
| v3_struct_0(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v13_lattices(u)
| v3_struct_0(u)
| equal(k2_filter_0(u,k5_lattices(u)),k1_filter_0(u)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(168,axiom,
( ~ equal(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| ~ m1_subset_1(u,k1_zfmisc_1(w))
| v1_xboole_0(w)
| r1_filter_2(w,u,v) ),
file('LAT306+1.p',unknown),
[] ).
cnf(170,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| equal(k2_filter_2(u,v),k2_filter_0(u,v))
| v3_struct_0(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(k18_filter_2(u,v),a_2_0_filter_2(u,v)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(173,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(k2_filter_0(u,v),a_2_0_filter_0(u,v)) ),
file('LAT306+1.p',unknown),
[] ).
cnf(176,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| equal(k2_filter_2(k1_lattice2(u),k5_filter_2(u,v)),k18_filter_2(u,v))
| v3_struct_0(u) ),
file('LAT306+1.p',unknown),
[] ).
cnf(193,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('LAT306+1.p',unknown),
[] ).
cnf(195,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| m1_filter_0(k1_filter_2(u),u) ),
inference(rew,[status(thm),theory(equality)],[140,117]),
[iquote('0:Rew:140.3,117.3')] ).
cnf(196,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)],[140,129,131]),
[iquote('0:Rew:140.3,129.3,131.3,129.3')] ).
cnf(198,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)],[196,140]),
[iquote('0:Rew:196.3,140.3')] ).
cnf(199,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_filter_0(k17_filter_2(u),u) ),
inference(rew,[status(thm),theory(equality)],[196,195]),
[iquote('0:Rew:196.3,195.3')] ).
cnf(200,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)],[131,153]),
[iquote('0:Rew:131.3,153.4')] ).
cnf(201,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(k17_filter_2(u))) ),
inference(rew,[status(thm),theory(equality)],[131,152]),
[iquote('0:Rew:131.3,152.3')] ).
cnf(202,plain,
( ~ v13_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k2_filter_0(u,k5_lattices(u)),k17_filter_2(u)) ),
inference(rew,[status(thm),theory(equality)],[198,167]),
[iquote('0:Rew:198.3,167.4')] ).
cnf(205,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| m2_filter_2(k18_filter_2(u,v),u)
| v3_struct_0(u) ),
inference(rew,[status(thm),theory(equality)],[131,156]),
[iquote('0:Rew:131.3,156.2')] ).
cnf(206,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| v3_struct_0(u)
| equal(k5_filter_2(u,v),v) ),
inference(rew,[status(thm),theory(equality)],[131,155]),
[iquote('0:Rew:131.3,155.2')] ).
cnf(207,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| equal(k2_filter_2(u,v),k2_filter_0(u,v))
| v3_struct_0(u) ),
inference(rew,[status(thm),theory(equality)],[131,170]),
[iquote('0:Rew:131.3,170.2')] ).
cnf(210,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| v3_struct_0(u)
| equal(k18_filter_2(u,v),a_2_0_filter_2(u,v)) ),
inference(rew,[status(thm),theory(equality)],[131,172]),
[iquote('0:Rew:131.3,172.2')] ).
cnf(211,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| v3_struct_0(u)
| m2_filter_2(a_2_0_filter_2(u,v),u) ),
inference(rew,[status(thm),theory(equality)],[210,205]),
[iquote('0:Rew:210.4,205.3')] ).
cnf(212,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| v3_struct_0(u)
| equal(k2_filter_0(u,v),a_2_0_filter_0(u,v)) ),
inference(rew,[status(thm),theory(equality)],[131,173]),
[iquote('0:Rew:131.3,173.2')] ).
cnf(214,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| v3_struct_0(u)
| equal(k2_filter_2(u,v),a_2_0_filter_0(u,v)) ),
inference(rew,[status(thm),theory(equality)],[212,207]),
[iquote('0:Rew:212.4,207.3')] ).
cnf(217,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k17_filter_2(u))
| v3_struct_0(u)
| equal(k2_filter_2(k1_lattice2(u),v),a_2_0_filter_2(u,v)) ),
inference(rew,[status(thm),theory(equality)],[206,176,210,131]),
[iquote('0:Rew:206.4,176.3,210.4,176.3,131.3,176.2')] ).
cnf(224,plain,
( ~ v10_lattices(skc15)
| ~ l3_lattices(skc15)
| v3_struct_0(skc15)
| equal(k5_lattices(k1_lattice2(skc15)),k6_lattices(skc15)) ),
inference(res,[status(thm),theory(equality)],[3,154]),
[iquote('0:Res:3.0,154.1')] ).
cnf(225,plain,
( ~ v10_lattices(skc15)
| ~ l3_lattices(skc15)
| v13_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[3,142]),
[iquote('0:Res:3.0,142.0')] ).
cnf(243,plain,
( ~ v10_lattices(skc15)
| ~ m1_subset_1(u,k17_filter_2(skc15))
| m2_filter_2(a_2_0_filter_2(skc15,u),skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,211]),
[iquote('0:Res:2.0,211.0')] ).
cnf(244,plain,
( ~ v10_lattices(skc15)
| ~ m1_subset_1(u,k17_filter_2(skc15))
| v3_struct_0(skc15)
| equal(k18_filter_2(skc15,u),a_2_0_filter_2(skc15,u)) ),
inference(res,[status(thm),theory(equality)],[2,210]),
[iquote('0:Res:2.0,210.1')] ).
cnf(248,plain,
( ~ v10_lattices(skc15)
| ~ m1_filter_0(u,skc15)
| m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc15)))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,201]),
[iquote('0:Res:2.0,201.1')] ).
cnf(253,plain,
( ~ v10_lattices(skc15)
| ~ m2_filter_2(u,skc15)
| m2_lattice4(u,skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,149]),
[iquote('0:Res:2.0,149.1')] ).
cnf(260,plain,
( ~ v10_lattices(skc15)
| v3_struct_0(skc15)
| m1_filter_0(k17_filter_2(skc15),skc15) ),
inference(res,[status(thm),theory(equality)],[2,199]),
[iquote('0:Res:2.0,199.1')] ).
cnf(263,plain,
equal(g3_lattices(u1_struct_0(skc15),u1_lattices(skc15),u2_lattices(skc15)),k1_lattice2(skc15)),
inference(res,[status(thm),theory(equality)],[2,130]),
[iquote('0:Res:2.0,130.0')] ).
cnf(264,plain,
( ~ v10_lattices(skc15)
| v3_struct_0(skc15)
| equal(u1_struct_0(skc15),k17_filter_2(skc15)) ),
inference(res,[status(thm),theory(equality)],[2,131]),
[iquote('0:Res:2.0,131.1')] ).
cnf(271,plain,
( ~ v10_lattices(skc15)
| v4_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,108]),
[iquote('0:Res:2.0,108.1')] ).
cnf(272,plain,
( ~ v10_lattices(skc15)
| v5_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,109]),
[iquote('0:Res:2.0,109.1')] ).
cnf(273,plain,
( ~ v10_lattices(skc15)
| v6_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,110]),
[iquote('0:Res:2.0,110.1')] ).
cnf(274,plain,
( ~ v10_lattices(skc15)
| v7_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,111]),
[iquote('0:Res:2.0,111.1')] ).
cnf(275,plain,
( ~ v10_lattices(skc15)
| v8_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,112]),
[iquote('0:Res:2.0,112.1')] ).
cnf(276,plain,
( ~ v10_lattices(skc15)
| v9_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,113]),
[iquote('0:Res:2.0,113.1')] ).
cnf(277,plain,
( ~ v10_lattices(skc15)
| v10_lattices(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,114]),
[iquote('0:Res:2.0,114.1')] ).
cnf(278,plain,
( ~ v10_lattices(skc15)
| v4_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,87]),
[iquote('0:Res:2.0,87.0')] ).
cnf(279,plain,
( ~ v10_lattices(skc15)
| v5_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,88]),
[iquote('0:Res:2.0,88.0')] ).
cnf(280,plain,
( ~ v10_lattices(skc15)
| v6_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,89]),
[iquote('0:Res:2.0,89.0')] ).
cnf(281,plain,
( ~ v10_lattices(skc15)
| v7_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,90]),
[iquote('0:Res:2.0,90.0')] ).
cnf(282,plain,
( ~ v10_lattices(skc15)
| v8_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,91]),
[iquote('0:Res:2.0,91.0')] ).
cnf(283,plain,
( ~ v10_lattices(skc15)
| v9_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,92]),
[iquote('0:Res:2.0,92.0')] ).
cnf(286,plain,
( ~ v3_struct_0(k1_lattice2(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,78]),
[iquote('0:Res:2.0,78.0')] ).
cnf(287,plain,
v3_lattices(k1_lattice2(skc15)),
inference(res,[status(thm),theory(equality)],[2,62]),
[iquote('0:Res:2.0,62.0')] ).
cnf(288,plain,
l3_lattices(k1_lattice2(skc15)),
inference(res,[status(thm),theory(equality)],[2,63]),
[iquote('0:Res:2.0,63.0')] ).
cnf(289,plain,
l1_lattices(skc15),
inference(res,[status(thm),theory(equality)],[2,58]),
[iquote('0:Res:2.0,58.0')] ).
cnf(290,plain,
l2_lattices(skc15),
inference(res,[status(thm),theory(equality)],[2,59]),
[iquote('0:Res:2.0,59.0')] ).
cnf(397,plain,
( ~ v4_lattices(skc15)
| ~ l2_lattices(skc15)
| v1_relat_1(u2_lattices(skc15)) ),
inference(res,[status(thm),theory(equality)],[99,44]),
[iquote('0:Res:99.3,44.0')] ).
cnf(399,plain,
( ~ v6_lattices(skc15)
| ~ l1_lattices(skc15)
| v1_relat_1(u1_lattices(skc15)) ),
inference(res,[status(thm),theory(equality)],[103,44]),
[iquote('0:Res:103.3,44.0')] ).
cnf(417,plain,
( ~ l2_lattices(skc15)
| m1_subset_1(k6_lattices(skc15),u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[96,44]),
[iquote('0:Res:96.1,44.0')] ).
cnf(424,plain,
~ v3_struct_0(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[286,44]),
[iquote('0:MRR:286.1,44.0')] ).
cnf(425,plain,
v4_lattices(skc15),
inference(mrr,[status(thm)],[278,1,44]),
[iquote('0:MRR:278.0,278.2,1.0,44.0')] ).
cnf(426,plain,
v5_lattices(skc15),
inference(mrr,[status(thm)],[279,1,44]),
[iquote('0:MRR:279.0,279.2,1.0,44.0')] ).
cnf(427,plain,
v6_lattices(skc15),
inference(mrr,[status(thm)],[280,1,44]),
[iquote('0:MRR:280.0,280.2,1.0,44.0')] ).
cnf(428,plain,
v7_lattices(skc15),
inference(mrr,[status(thm)],[281,1,44]),
[iquote('0:MRR:281.0,281.2,1.0,44.0')] ).
cnf(429,plain,
v8_lattices(skc15),
inference(mrr,[status(thm)],[282,1,44]),
[iquote('0:MRR:282.0,282.2,1.0,44.0')] ).
cnf(430,plain,
v9_lattices(skc15),
inference(mrr,[status(thm)],[283,1,44]),
[iquote('0:MRR:283.0,283.2,1.0,44.0')] ).
cnf(432,plain,
v4_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[271,1,44]),
[iquote('0:MRR:271.0,271.2,1.0,44.0')] ).
cnf(433,plain,
v5_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[272,1,44]),
[iquote('0:MRR:272.0,272.2,1.0,44.0')] ).
cnf(434,plain,
v6_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[273,1,44]),
[iquote('0:MRR:273.0,273.2,1.0,44.0')] ).
cnf(435,plain,
v7_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[274,1,44]),
[iquote('0:MRR:274.0,274.2,1.0,44.0')] ).
cnf(436,plain,
v8_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[275,1,44]),
[iquote('0:MRR:275.0,275.2,1.0,44.0')] ).
cnf(437,plain,
v9_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[276,1,44]),
[iquote('0:MRR:276.0,276.2,1.0,44.0')] ).
cnf(438,plain,
v10_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[277,1,44]),
[iquote('0:MRR:277.0,277.2,1.0,44.0')] ).
cnf(440,plain,
m1_subset_1(k6_lattices(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[417,290]),
[iquote('0:MRR:417.0,290.0')] ).
cnf(441,plain,
m1_filter_0(k17_filter_2(skc15),skc15),
inference(mrr,[status(thm)],[260,1,44]),
[iquote('0:MRR:260.0,260.1,1.0,44.0')] ).
cnf(449,plain,
v1_relat_1(u2_lattices(skc15)),
inference(mrr,[status(thm)],[397,425,290]),
[iquote('0:MRR:397.0,397.1,425.0,290.0')] ).
cnf(450,plain,
v1_relat_1(u1_lattices(skc15)),
inference(mrr,[status(thm)],[399,427,289]),
[iquote('0:MRR:399.0,399.1,427.0,289.0')] ).
cnf(454,plain,
equal(u1_struct_0(skc15),k17_filter_2(skc15)),
inference(mrr,[status(thm)],[264,1,44]),
[iquote('0:MRR:264.0,264.1,1.0,44.0')] ).
cnf(455,plain,
~ r1_filter_2(k17_filter_2(skc15),k17_filter_2(skc15),k18_filter_2(skc15,k6_lattices(skc15))),
inference(rew,[status(thm),theory(equality)],[454,86]),
[iquote('0:Rew:454.0,86.0')] ).
cnf(458,plain,
m1_subset_1(k6_lattices(skc15),k17_filter_2(skc15)),
inference(rew,[status(thm),theory(equality)],[454,440]),
[iquote('0:Rew:454.0,440.0')] ).
cnf(459,plain,
equal(g3_lattices(k17_filter_2(skc15),u1_lattices(skc15),u2_lattices(skc15)),k1_lattice2(skc15)),
inference(rew,[status(thm),theory(equality)],[454,263]),
[iquote('0:Rew:454.0,263.0')] ).
cnf(460,plain,
v13_lattices(k1_lattice2(skc15)),
inference(mrr,[status(thm)],[225,1,2,44]),
[iquote('0:MRR:225.0,225.1,225.3,1.0,2.0,44.0')] ).
cnf(471,plain,
( ~ m2_filter_2(u,skc15)
| m2_lattice4(u,skc15) ),
inference(mrr,[status(thm)],[253,1,44]),
[iquote('0:MRR:253.0,253.3,1.0,44.0')] ).
cnf(477,plain,
equal(k5_lattices(k1_lattice2(skc15)),k6_lattices(skc15)),
inference(mrr,[status(thm)],[224,1,2,44]),
[iquote('0:MRR:224.0,224.1,224.2,1.0,2.0,44.0')] ).
cnf(478,plain,
( ~ m1_filter_0(u,skc15)
| m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc15))) ),
inference(mrr,[status(thm)],[248,1,44]),
[iquote('0:MRR:248.0,248.3,1.0,44.0')] ).
cnf(482,plain,
( ~ m1_subset_1(u,k17_filter_2(skc15))
| m2_filter_2(a_2_0_filter_2(skc15,u),skc15) ),
inference(mrr,[status(thm)],[243,1,44]),
[iquote('0:MRR:243.0,243.3,1.0,44.0')] ).
cnf(494,plain,
( ~ m1_subset_1(u,k17_filter_2(skc15))
| equal(k18_filter_2(skc15,u),a_2_0_filter_2(skc15,u)) ),
inference(mrr,[status(thm)],[244,1,44]),
[iquote('0:MRR:244.0,244.2,1.0,44.0')] ).
cnf(620,plain,
( ~ l1_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| m1_subset_1(k6_lattices(skc15),u1_struct_0(k1_lattice2(skc15))) ),
inference(spr,[status(thm),theory(equality)],[477,95]),
[iquote('0:SpR:477.0,95.2')] ).
cnf(622,plain,
( v3_struct_0(k1_lattice2(skc15))
| m1_subset_1(k6_lattices(skc15),u1_struct_0(k1_lattice2(skc15))) ),
inference(ssi,[status(thm)],[620,58,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:620.0,58.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.1')] ).
cnf(623,plain,
m1_subset_1(k6_lattices(skc15),u1_struct_0(k1_lattice2(skc15))),
inference(mrr,[status(thm)],[622,424]),
[iquote('0:MRR:622.0,424.0')] ).
cnf(698,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[98,77]),
[iquote('0:Res:98.1,77.0')] ).
cnf(730,plain,
equal(k18_filter_2(skc15,k6_lattices(skc15)),a_2_0_filter_2(skc15,k6_lattices(skc15))),
inference(res,[status(thm),theory(equality)],[458,494]),
[iquote('0:Res:458.0,494.0')] ).
cnf(733,plain,
~ r1_filter_2(k17_filter_2(skc15),k17_filter_2(skc15),a_2_0_filter_2(skc15,k6_lattices(skc15))),
inference(rew,[status(thm),theory(equality)],[730,455]),
[iquote('0:Rew:730.0,455.0')] ).
cnf(847,plain,
( ~ l2_lattices(skc15)
| m2_relset_1(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)) ),
inference(spr,[status(thm),theory(equality)],[454,135]),
[iquote('0:SpR:454.0,135.1')] ).
cnf(850,plain,
( ~ l2_lattices(u)
| v1_relat_1(u2_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[135,698]),
[iquote('0:Res:135.1,698.0')] ).
cnf(851,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)],[135,82]),
[iquote('0:Res:135.1,82.0')] ).
cnf(852,plain,
m2_relset_1(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)),
inference(ssi,[status(thm)],[847,3,1,2,430,429,428,426,425,427,290,289]),
[iquote('0:SSi:847.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0')] ).
cnf(875,plain,
( ~ l1_lattices(skc15)
| m2_relset_1(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)) ),
inference(spr,[status(thm),theory(equality)],[454,133]),
[iquote('0:SpR:454.0,133.1')] ).
cnf(878,plain,
( ~ l1_lattices(u)
| v1_relat_1(u1_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[133,698]),
[iquote('0:Res:133.1,698.0')] ).
cnf(879,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)],[133,82]),
[iquote('0:Res:133.1,82.0')] ).
cnf(880,plain,
m2_relset_1(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)),
inference(ssi,[status(thm)],[875,3,1,2,430,429,428,426,425,427,290,289]),
[iquote('0:SSi:875.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0')] ).
cnf(892,plain,
( ~ l2_lattices(skc15)
| v1_funct_2(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)) ),
inference(spr,[status(thm),theory(equality)],[454,134]),
[iquote('0:SpR:454.0,134.1')] ).
cnf(895,plain,
v1_funct_2(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)),
inference(ssi,[status(thm)],[892,3,1,2,430,429,428,426,425,427,290,289]),
[iquote('0:SSi:892.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0')] ).
cnf(910,plain,
( ~ l1_lattices(skc15)
| v1_funct_2(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)) ),
inference(spr,[status(thm),theory(equality)],[454,132]),
[iquote('0:SpR:454.0,132.1')] ).
cnf(913,plain,
v1_funct_2(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)),
inference(ssi,[status(thm)],[910,3,1,2,430,429,428,426,425,427,290,289]),
[iquote('0:SSi:910.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0')] ).
cnf(987,plain,
m1_relset_1(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)),
inference(res,[status(thm),theory(equality)],[852,82]),
[iquote('0:Res:852.0,82.0')] ).
cnf(989,plain,
m1_relset_1(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15)),
inference(res,[status(thm),theory(equality)],[880,82]),
[iquote('0:Res:880.0,82.0')] ).
cnf(1001,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)],[131,134]),
[iquote('0:SpR:131.3,134.1')] ).
cnf(1002,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)],[131,132]),
[iquote('0:SpR:131.3,132.1')] ).
cnf(1010,plain,
( ~ l3_lattices(k1_lattice2(skc15))
| ~ v10_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| m1_subset_1(k6_lattices(skc15),k17_filter_2(k1_lattice2(skc15))) ),
inference(spr,[status(thm),theory(equality)],[131,623]),
[iquote('0:SpR:131.3,623.0')] ).
cnf(1017,plain,
( v3_struct_0(k1_lattice2(skc15))
| m1_subset_1(k6_lattices(skc15),k17_filter_2(k1_lattice2(skc15))) ),
inference(ssi,[status(thm)],[1010,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:1010.1,1010.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0')] ).
cnf(1018,plain,
m1_subset_1(k6_lattices(skc15),k17_filter_2(k1_lattice2(skc15))),
inference(mrr,[status(thm)],[1017,424]),
[iquote('0:MRR:1017.0,424.0')] ).
cnf(1045,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)],[1002,58]),
[iquote('0:SSi:1002.2,58.1')] ).
cnf(1046,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)],[1001,59]),
[iquote('0:SSi:1001.2,59.1')] ).
cnf(1275,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)],[131,144]),
[iquote('0:SpR:131.3,144.2')] ).
cnf(1276,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)],[1275]),
[iquote('0:Obv:1275.0')] ).
cnf(1322,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(k17_filter_2(u))
| v3_struct_0(u)
| v3_struct_0(u) ),
inference(res,[status(thm),theory(equality)],[116,148]),
[iquote('0:Res:116.3,148.3')] ).
cnf(1323,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(k17_filter_2(u))
| v3_struct_0(u) ),
inference(obv,[status(thm),theory(equality)],[1322]),
[iquote('0:Obv:1322.5')] ).
cnf(1737,plain,
( ~ v13_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15))
| ~ v10_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| equal(k2_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(spr,[status(thm),theory(equality)],[477,202]),
[iquote('0:SpR:477.0,202.4')] ).
cnf(1739,plain,
( v3_struct_0(k1_lattice2(skc15))
| equal(k2_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(ssi,[status(thm)],[1737,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:1737.2,1737.1,1737.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0')] ).
cnf(1740,plain,
equal(k2_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))),
inference(mrr,[status(thm)],[1739,424]),
[iquote('0:MRR:1739.0,424.0')] ).
cnf(1982,plain,
( ~ l3_lattices(k1_lattice2(skc15))
| ~ v10_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| equal(k2_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),a_2_0_filter_0(k1_lattice2(skc15),k6_lattices(skc15))) ),
inference(res,[status(thm),theory(equality)],[1018,212]),
[iquote('0:Res:1018.0,212.2')] ).
cnf(1985,plain,
( ~ l3_lattices(k1_lattice2(skc15))
| ~ v10_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| equal(a_2_0_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(rew,[status(thm),theory(equality)],[1740,1982]),
[iquote('0:Rew:1740.0,1982.3')] ).
cnf(1986,plain,
( v3_struct_0(k1_lattice2(skc15))
| equal(a_2_0_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(ssi,[status(thm)],[1985,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:1985.1,1985.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0')] ).
cnf(1987,plain,
equal(a_2_0_filter_0(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))),
inference(mrr,[status(thm)],[1986,424]),
[iquote('0:MRR:1986.0,424.0')] ).
cnf(2092,plain,
( ~ v10_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| equal(k2_filter_2(k1_lattice2(skc15),k6_lattices(skc15)),a_2_0_filter_0(k1_lattice2(skc15),k6_lattices(skc15))) ),
inference(res,[status(thm),theory(equality)],[1018,214]),
[iquote('0:Res:1018.0,214.2')] ).
cnf(2095,plain,
( ~ v10_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15))
| v3_struct_0(k1_lattice2(skc15))
| equal(k2_filter_2(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(rew,[status(thm),theory(equality)],[1987,2092]),
[iquote('0:Rew:1987.0,2092.3')] ).
cnf(2096,plain,
( v3_struct_0(k1_lattice2(skc15))
| equal(k2_filter_2(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(ssi,[status(thm)],[2095,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:2095.1,2095.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0')] ).
cnf(2097,plain,
equal(k2_filter_2(k1_lattice2(skc15),k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))),
inference(mrr,[status(thm)],[2096,424]),
[iquote('0:MRR:2096.0,424.0')] ).
cnf(2165,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| ~ equal(w,v)
| ~ m1_subset_1(w,k1_zfmisc_1(k17_filter_2(u)))
| v3_struct_0(u)
| v1_xboole_0(k17_filter_2(u))
| r1_filter_2(k17_filter_2(u),w,v) ),
inference(res,[status(thm),theory(equality)],[200,168]),
[iquote('0:Res:200.4,168.1')] ).
cnf(2170,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| ~ equal(w,v)
| ~ m1_subset_1(w,k1_zfmisc_1(k17_filter_2(u)))
| v3_struct_0(u)
| r1_filter_2(k17_filter_2(u),w,v) ),
inference(mrr,[status(thm)],[2165,1323]),
[iquote('0:MRR:2165.6,1323.2')] ).
cnf(2316,plain,
( ~ l3_lattices(skc15)
| ~ v10_lattices(skc15)
| ~ m1_subset_1(k6_lattices(skc15),k17_filter_2(skc15))
| v3_struct_0(skc15)
| equal(a_2_0_filter_2(skc15,k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(spr,[status(thm),theory(equality)],[217,2097]),
[iquote('0:SpR:217.4,2097.0')] ).
cnf(2318,plain,
( ~ m1_subset_1(k6_lattices(skc15),k17_filter_2(skc15))
| v3_struct_0(skc15)
| equal(a_2_0_filter_2(skc15,k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))) ),
inference(ssi,[status(thm)],[2316,3,1,2,430,429,428,426,425,427,290,289]),
[iquote('0:SSi:2316.1,2316.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0')] ).
cnf(2319,plain,
equal(a_2_0_filter_2(skc15,k6_lattices(skc15)),k17_filter_2(k1_lattice2(skc15))),
inference(mrr,[status(thm)],[2318,458,44]),
[iquote('0:MRR:2318.0,2318.1,458.0,44.0')] ).
cnf(2320,plain,
~ r1_filter_2(k17_filter_2(skc15),k17_filter_2(skc15),k17_filter_2(k1_lattice2(skc15))),
inference(rew,[status(thm),theory(equality)],[2319,733]),
[iquote('0:Rew:2319.0,733.0')] ).
cnf(2322,plain,
( ~ m1_subset_1(k6_lattices(skc15),k17_filter_2(skc15))
| m2_filter_2(k17_filter_2(k1_lattice2(skc15)),skc15) ),
inference(spr,[status(thm),theory(equality)],[2319,482]),
[iquote('0:SpR:2319.0,482.1')] ).
cnf(2325,plain,
m2_filter_2(k17_filter_2(k1_lattice2(skc15)),skc15),
inference(mrr,[status(thm)],[2322,458]),
[iquote('0:MRR:2322.0,458.0')] ).
cnf(2948,plain,
( ~ v1_funct_1(u2_lattices(skc15))
| ~ v1_funct_1(u1_lattices(skc15))
| ~ equal(g3_lattices(u,v,w),k1_lattice2(skc15))
| ~ m1_relset_1(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| ~ v1_funct_2(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| ~ m1_relset_1(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| ~ v1_funct_2(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| equal(k17_filter_2(skc15),u) ),
inference(spl,[status(thm),theory(equality)],[459,193]),
[iquote('0:SpL:459.0,193.2')] ).
cnf(2953,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)],[144,193]),
[iquote('0:SpL:144.2,193.2')] ).
cnf(2954,plain,
( ~ equal(g3_lattices(u,v,w),k1_lattice2(skc15))
| ~ m1_relset_1(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| ~ v1_funct_2(u1_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| ~ m1_relset_1(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| ~ v1_funct_2(u2_lattices(skc15),k2_zfmisc_1(k17_filter_2(skc15),k17_filter_2(skc15)),k17_filter_2(skc15))
| equal(k17_filter_2(skc15),u) ),
inference(ssi,[status(thm)],[2948,64,3,1,2,430,429,428,426,425,427,290,289,450,65,449]),
[iquote('0:SSi:2948.1,2948.0,64.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0,450.1,65.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0,449.1')] ).
cnf(2955,plain,
( ~ equal(g3_lattices(u,v,w),k1_lattice2(skc15))
| equal(k17_filter_2(skc15),u) ),
inference(mrr,[status(thm)],[2954,989,913,987,895]),
[iquote('0:MRR:2954.1,2954.2,2954.3,2954.4,989.0,913.0,987.0,895.0')] ).
cnf(3606,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)],[131,851]),
[iquote('0:SpR:131.3,851.1')] ).
cnf(3610,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)],[3606,59]),
[iquote('0:SSi:3606.2,59.1')] ).
cnf(3636,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)],[131,879]),
[iquote('0:SpR:131.3,879.1')] ).
cnf(3640,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)],[3636,58]),
[iquote('0:SSi:3636.2,58.1')] ).
cnf(4812,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(u,k1_lattice2(skc15))
| equal(u1_struct_0(u),k17_filter_2(skc15)) ),
inference(spl,[status(thm),theory(equality)],[144,2955]),
[iquote('0:SpL:144.2,2955.0')] ).
cnf(6521,plain,
( ~ l3_lattices(skc15)
| ~ v10_lattices(skc15)
| ~ m1_filter_0(u,skc15)
| ~ m2_lattice4(v,skc15)
| ~ equal(u,v)
| v3_struct_0(skc15)
| r1_filter_2(k17_filter_2(skc15),u,v) ),
inference(res,[status(thm),theory(equality)],[478,2170]),
[iquote('0:Res:478.1,2170.4')] ).
cnf(6530,plain,
( ~ m1_filter_0(u,skc15)
| ~ m2_lattice4(v,skc15)
| ~ equal(u,v)
| v3_struct_0(skc15)
| r1_filter_2(k17_filter_2(skc15),u,v) ),
inference(ssi,[status(thm)],[6521,3,1,2,430,429,428,426,425,427,290,289]),
[iquote('0:SSi:6521.1,6521.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0,3.0,1.0,2.0,430.0,429.0,428.0,426.0,425.0,427.0,290.0,289.0')] ).
cnf(6531,plain,
( ~ m1_filter_0(u,skc15)
| ~ m2_lattice4(v,skc15)
| ~ equal(u,v)
| r1_filter_2(k17_filter_2(skc15),u,v) ),
inference(mrr,[status(thm)],[6530,44]),
[iquote('0:MRR:6530.3,44.0')] ).
cnf(8073,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)],[1276,2953]),
[iquote('0:SpL:1276.4,2953.4')] ).
cnf(8082,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)],[8073,65,59,850,64,58,878]),
[iquote('0:SSi:8073.6,8073.5,65.1,59.1,850.1,59.1,64.1,58.1,878.1,58.1')] ).
cnf(8083,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)],[8082,1046,1045]),
[iquote('0:MRR:8082.7,8082.9,1046.3,1045.3')] ).
cnf(8084,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)],[8083,3610,3640]),
[iquote('0:MRR:8083.6,8083.7,3610.3,3640.3')] ).
cnf(10303,plain,
( ~ m1_filter_0(k17_filter_2(skc15),skc15)
| ~ m2_lattice4(k17_filter_2(k1_lattice2(skc15)),skc15)
| ~ equal(k17_filter_2(k1_lattice2(skc15)),k17_filter_2(skc15)) ),
inference(res,[status(thm),theory(equality)],[6531,2320]),
[iquote('0:Res:6531.3,2320.0')] ).
cnf(10319,plain,
( ~ m2_lattice4(k17_filter_2(k1_lattice2(skc15)),skc15)
| ~ equal(k17_filter_2(k1_lattice2(skc15)),k17_filter_2(skc15)) ),
inference(mrr,[status(thm)],[10303,441]),
[iquote('0:MRR:10303.0,441.0')] ).
cnf(10692,plain,
( ~ m2_filter_2(k17_filter_2(k1_lattice2(skc15)),skc15)
| ~ equal(k17_filter_2(k1_lattice2(skc15)),k17_filter_2(skc15)) ),
inference(res,[status(thm),theory(equality)],[471,10319]),
[iquote('0:Res:471.1,10319.0')] ).
cnf(10695,plain,
~ equal(k17_filter_2(k1_lattice2(skc15)),k17_filter_2(skc15)),
inference(mrr,[status(thm)],[10692,2325]),
[iquote('0:MRR:10692.0,2325.0')] ).
cnf(31687,plain,
( ~ v10_lattices(k1_lattice2(skc15))
| ~ v3_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15))
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc15),u)
| ~ equal(u1_struct_0(u),k17_filter_2(skc15))
| v3_struct_0(k1_lattice2(skc15)) ),
inference(spl,[status(thm),theory(equality)],[8084,10695]),
[iquote('0:SpL:8084.7,10695.0')] ).
cnf(31782,plain,
( ~ v10_lattices(k1_lattice2(skc15))
| ~ v3_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15))
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc15),u)
| ~ equal(k17_filter_2(skc15),k17_filter_2(skc15))
| v3_struct_0(k1_lattice2(skc15)) ),
inference(rew,[status(thm),theory(equality)],[4812,31687]),
[iquote('0:Rew:4812.3,31687.6')] ).
cnf(31783,plain,
( ~ v10_lattices(k1_lattice2(skc15))
| ~ v3_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15))
| ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc15),u)
| v3_struct_0(k1_lattice2(skc15)) ),
inference(obv,[status(thm),theory(equality)],[31782]),
[iquote('0:Obv:31782.6')] ).
cnf(31784,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc15),u)
| v3_struct_0(k1_lattice2(skc15)) ),
inference(ssi,[status(thm)],[31783,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:31783.2,31783.1,31783.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0')] ).
cnf(31785,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ equal(k1_lattice2(skc15),u) ),
inference(mrr,[status(thm)],[31784,424]),
[iquote('0:MRR:31784.3,424.0')] ).
cnf(32313,plain,
( ~ v3_lattices(k1_lattice2(skc15))
| ~ l3_lattices(k1_lattice2(skc15)) ),
inference(eqr,[status(thm),theory(equality)],[31785]),
[iquote('0:EqR:31785.2')] ).
cnf(32314,plain,
$false,
inference(ssi,[status(thm)],[32313,287,460,437,436,435,433,432,434,438,288]),
[iquote('0:SSi:32313.1,32313.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0,287.0,460.0,437.0,436.0,435.0,433.0,432.0,434.0,438.0,288.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT306+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 15:54:08 EDT 2022
% 0.18/0.33 % CPUTime :
% 29.53/29.73
% 29.53/29.73 SPASS V 3.9
% 29.53/29.73 SPASS beiseite: Proof found.
% 29.53/29.73 % SZS status Theorem
% 29.53/29.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.53/29.73 SPASS derived 25115 clauses, backtracked 3510 clauses, performed 29 splits and kept 12106 clauses.
% 29.53/29.73 SPASS allocated 126340 KBytes.
% 29.53/29.73 SPASS spent 0:0:29.37 on the problem.
% 29.53/29.73 0:00:00.04 for the input.
% 29.53/29.73 0:00:00.05 for the FLOTTER CNF translation.
% 29.53/29.73 0:00:00.49 for inferences.
% 29.53/29.73 0:00:00.56 for the backtracking.
% 29.53/29.73 0:0:27.77 for the reduction.
% 29.53/29.73
% 29.53/29.73
% 29.53/29.73 Here is a proof with depth 6, length 208 :
% 29.53/29.73 % SZS output start Refutation
% See solution above
% 30.52/30.79 Formulae used in the proof : t32_filter_2 dt_l3_lattices dt_k1_lattice2 dt_u1_lattices dt_u2_lattices cc1_relset_1 fc1_lattice2 redefinition_m2_relset_1 cc1_lattices dt_k5_lattices dt_k6_lattices dt_m2_relset_1 fc2_lattice2 fc4_lattice2 fc6_lattice2 dt_k17_filter_2 dt_k1_filter_0 d2_filter_0 d2_lattice2 d8_filter_2 redefinition_k1_filter_2 t64_lattice2 abstractness_v3_lattices dt_m2_filter_2 dt_m1_filter_0 dt_m2_lattice4 t79_lattice2 d4_filter_2 dt_k18_filter_2 t20_filter_0 redefinition_r1_filter_2 redefinition_k2_filter_2 d9_filter_2 d3_filter_0 t30_filter_2 free_g3_lattices
% 30.52/30.79
%------------------------------------------------------------------------------