TSTP Solution File: LAT309+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT309+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:50:33 EDT 2022
% Result : Theorem 3.51s 3.75s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 44
% Syntax : Number of clauses : 142 ( 29 unt; 83 nHn; 142 RR)
% Number of literals : 491 ( 0 equ; 251 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc16),
file('LAT309+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc16),
file('LAT309+1.p',unknown),
[] ).
cnf(3,axiom,
v14_lattices(skc16),
file('LAT309+1.p',unknown),
[] ).
cnf(44,axiom,
~ v3_struct_0(skc16),
file('LAT309+1.p',unknown),
[] ).
cnf(52,axiom,
m1_subset_1(skc17,u1_struct_0(skc16)),
file('LAT309+1.p',unknown),
[] ).
cnf(56,axiom,
~ equal(k6_lattices(skc16),skc17),
file('LAT309+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ m2_filter_2(u,skc16)
| ~ r2_filter_2(skc16,u)
| ~ r2_hidden(skc17,u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v14_lattices(u)
| v3_struct_0(u)
| v13_lattices(k1_lattice2(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_2(v,u)
| v3_struct_0(u)
| m1_filter_0(v,u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(145,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('LAT309+1.p',unknown),
[] ).
cnf(146,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('LAT309+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ l3_lattices(u)
| ~ v14_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k5_lattices(k1_lattice2(u)),k6_lattices(u)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(148,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('LAT309+1.p',unknown),
[] ).
cnf(149,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('LAT309+1.p',unknown),
[] ).
cnf(150,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('LAT309+1.p',unknown),
[] ).
cnf(159,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('LAT309+1.p',unknown),
[] ).
cnf(160,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('LAT309+1.p',unknown),
[] ).
cnf(161,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('LAT309+1.p',unknown),
[] ).
cnf(162,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('LAT309+1.p',unknown),
[] ).
cnf(163,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('LAT309+1.p',unknown),
[] ).
cnf(165,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('LAT309+1.p',unknown),
[] ).
cnf(168,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('LAT309+1.p',unknown),
[] ).
cnf(170,axiom,
( ~ v13_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,k5_lattices(u))
| v1_filter_0(skf23(v,u),u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ v13_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,k5_lattices(u))
| r2_hidden(v,skf23(v,w)) ),
file('LAT309+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ v13_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,k5_lattices(u))
| m1_filter_0(skf23(v,u),u) ),
file('LAT309+1.p',unknown),
[] ).
cnf(182,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)],[160,150]),
[iquote('0:Rew:160.3,150.3')] ).
cnf(183,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)],[161,149]),
[iquote('0:Rew:161.3,149.3')] ).
cnf(184,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)],[148,162]),
[iquote('0:Rew:148.4,162.3')] ).
cnf(186,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)],[160,165]),
[iquote('0:Rew:160.3,165.2')] ).
cnf(189,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)],[163,168]),
[iquote('0:Rew:163.4,168.3')] ).
cnf(191,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| v3_struct_0(skc16)
| equal(k5_lattices(k1_lattice2(skc16)),k6_lattices(skc16)) ),
inference(res,[status(thm),theory(equality)],[3,147]),
[iquote('0:Res:3.0,147.1')] ).
cnf(192,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| v13_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[3,135]),
[iquote('0:Res:3.0,135.0')] ).
cnf(199,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16)))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,189]),
[iquote('0:Res:2.0,189.0')] ).
cnf(201,plain,
( ~ v10_lattices(skc16)
| ~ v1_filter_0(k7_filter_2(skc16,u),k1_lattice2(skc16))
| ~ m2_filter_2(u,skc16)
| r2_filter_2(skc16,u)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,186]),
[iquote('0:Res:2.0,186.1')] ).
cnf(202,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| v3_struct_0(skc16)
| equal(k8_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[2,163]),
[iquote('0:Res:2.0,163.1')] ).
cnf(204,plain,
( ~ v10_lattices(skc16)
| ~ m1_filter_0(u,k1_lattice2(skc16))
| m2_filter_2(k8_filter_2(skc16,u),skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,183]),
[iquote('0:Res:2.0,183.0')] ).
cnf(206,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16)))
| v3_struct_0(skc16)
| equal(k7_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[2,159]),
[iquote('0:Res:2.0,159.1')] ).
cnf(207,plain,
( ~ v10_lattices(skc16)
| ~ m2_filter_2(u,skc16)
| m1_filter_2(k7_filter_2(skc16,u),k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,182]),
[iquote('0:Res:2.0,182.0')] ).
cnf(211,plain,
( ~ v10_lattices(skc16)
| ~ m2_lattice4(u,skc16)
| v3_struct_0(skc16)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(res,[status(thm),theory(equality)],[2,146]),
[iquote('0:Res:2.0,146.1')] ).
cnf(215,plain,
( ~ v10_lattices(skc16)
| ~ m2_filter_2(u,skc16)
| m2_lattice4(u,skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,142]),
[iquote('0:Res:2.0,142.1')] ).
cnf(227,plain,
( ~ v10_lattices(skc16)
| v4_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,109]),
[iquote('0:Res:2.0,109.1')] ).
cnf(228,plain,
( ~ v10_lattices(skc16)
| v5_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,110]),
[iquote('0:Res:2.0,110.1')] ).
cnf(229,plain,
( ~ v10_lattices(skc16)
| v6_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,111]),
[iquote('0:Res:2.0,111.1')] ).
cnf(230,plain,
( ~ v10_lattices(skc16)
| v7_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,112]),
[iquote('0:Res:2.0,112.1')] ).
cnf(231,plain,
( ~ v10_lattices(skc16)
| v8_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,113]),
[iquote('0:Res:2.0,113.1')] ).
cnf(232,plain,
( ~ v10_lattices(skc16)
| v9_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,114]),
[iquote('0:Res:2.0,114.1')] ).
cnf(233,plain,
( ~ v10_lattices(skc16)
| v10_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,115]),
[iquote('0:Res:2.0,115.1')] ).
cnf(234,plain,
( ~ v10_lattices(skc16)
| v4_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,88]),
[iquote('0:Res:2.0,88.0')] ).
cnf(235,plain,
( ~ v10_lattices(skc16)
| v5_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,89]),
[iquote('0:Res:2.0,89.0')] ).
cnf(236,plain,
( ~ v10_lattices(skc16)
| v6_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,90]),
[iquote('0:Res:2.0,90.0')] ).
cnf(237,plain,
( ~ v10_lattices(skc16)
| v7_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,91]),
[iquote('0:Res:2.0,91.0')] ).
cnf(238,plain,
( ~ v10_lattices(skc16)
| v8_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,92]),
[iquote('0:Res:2.0,92.0')] ).
cnf(239,plain,
( ~ v10_lattices(skc16)
| v9_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,93]),
[iquote('0:Res:2.0,93.0')] ).
cnf(242,plain,
( ~ v3_struct_0(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,80]),
[iquote('0:Res:2.0,80.0')] ).
cnf(243,plain,
v3_lattices(k1_lattice2(skc16)),
inference(res,[status(thm),theory(equality)],[2,64]),
[iquote('0:Res:2.0,64.0')] ).
cnf(244,plain,
l3_lattices(k1_lattice2(skc16)),
inference(res,[status(thm),theory(equality)],[2,65]),
[iquote('0:Res:2.0,65.0')] ).
cnf(245,plain,
l1_lattices(skc16),
inference(res,[status(thm),theory(equality)],[2,60]),
[iquote('0:Res:2.0,60.0')] ).
cnf(246,plain,
l2_lattices(skc16),
inference(res,[status(thm),theory(equality)],[2,61]),
[iquote('0:Res:2.0,61.0')] ).
cnf(361,plain,
~ v3_struct_0(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[242,44]),
[iquote('0:MRR:242.1,44.0')] ).
cnf(362,plain,
v4_lattices(skc16),
inference(mrr,[status(thm)],[234,1,44]),
[iquote('0:MRR:234.0,234.2,1.0,44.0')] ).
cnf(363,plain,
v5_lattices(skc16),
inference(mrr,[status(thm)],[235,1,44]),
[iquote('0:MRR:235.0,235.2,1.0,44.0')] ).
cnf(364,plain,
v6_lattices(skc16),
inference(mrr,[status(thm)],[236,1,44]),
[iquote('0:MRR:236.0,236.2,1.0,44.0')] ).
cnf(365,plain,
v7_lattices(skc16),
inference(mrr,[status(thm)],[237,1,44]),
[iquote('0:MRR:237.0,237.2,1.0,44.0')] ).
cnf(366,plain,
v8_lattices(skc16),
inference(mrr,[status(thm)],[238,1,44]),
[iquote('0:MRR:238.0,238.2,1.0,44.0')] ).
cnf(367,plain,
v9_lattices(skc16),
inference(mrr,[status(thm)],[239,1,44]),
[iquote('0:MRR:239.0,239.2,1.0,44.0')] ).
cnf(369,plain,
v4_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[227,1,44]),
[iquote('0:MRR:227.0,227.2,1.0,44.0')] ).
cnf(370,plain,
v5_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[228,1,44]),
[iquote('0:MRR:228.0,228.2,1.0,44.0')] ).
cnf(371,plain,
v6_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[229,1,44]),
[iquote('0:MRR:229.0,229.2,1.0,44.0')] ).
cnf(372,plain,
v7_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[230,1,44]),
[iquote('0:MRR:230.0,230.2,1.0,44.0')] ).
cnf(373,plain,
v8_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[231,1,44]),
[iquote('0:MRR:231.0,231.2,1.0,44.0')] ).
cnf(374,plain,
v9_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[232,1,44]),
[iquote('0:MRR:232.0,232.2,1.0,44.0')] ).
cnf(375,plain,
v10_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[233,1,44]),
[iquote('0:MRR:233.0,233.2,1.0,44.0')] ).
cnf(386,plain,
v13_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[192,1,2,44]),
[iquote('0:MRR:192.0,192.1,192.3,1.0,2.0,44.0')] ).
cnf(392,plain,
( ~ m2_filter_2(u,skc16)
| m2_lattice4(u,skc16) ),
inference(mrr,[status(thm)],[215,1,44]),
[iquote('0:MRR:215.0,215.3,1.0,44.0')] ).
cnf(398,plain,
equal(k5_lattices(k1_lattice2(skc16)),k6_lattices(skc16)),
inference(mrr,[status(thm)],[191,1,2,44]),
[iquote('0:MRR:191.0,191.1,191.2,1.0,2.0,44.0')] ).
cnf(400,plain,
( ~ m2_lattice4(u,skc16)
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(mrr,[status(thm)],[211,1,44]),
[iquote('0:MRR:211.0,211.2,1.0,44.0')] ).
cnf(402,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| m2_filter_2(k8_filter_2(skc16,u),skc16) ),
inference(mrr,[status(thm)],[204,1,44]),
[iquote('0:MRR:204.0,204.3,1.0,44.0')] ).
cnf(403,plain,
( ~ m2_filter_2(u,skc16)
| m1_filter_2(k7_filter_2(skc16,u),k1_lattice2(skc16)) ),
inference(mrr,[status(thm)],[207,1,44]),
[iquote('0:MRR:207.0,207.3,1.0,44.0')] ).
cnf(405,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16)))
| equal(k7_filter_2(skc16,u),u) ),
inference(mrr,[status(thm)],[206,1,44]),
[iquote('0:MRR:206.0,206.2,1.0,44.0')] ).
cnf(410,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(mrr,[status(thm)],[199,1,44]),
[iquote('0:MRR:199.0,199.3,1.0,44.0')] ).
cnf(411,plain,
( ~ m1_subset_1(u,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| equal(k8_filter_2(skc16,u),u) ),
inference(mrr,[status(thm)],[202,1,44]),
[iquote('0:MRR:202.0,202.2,1.0,44.0')] ).
cnf(414,plain,
( ~ m2_filter_2(u,skc16)
| ~ v1_filter_0(k7_filter_2(skc16,u),k1_lattice2(skc16))
| r2_filter_2(skc16,u) ),
inference(mrr,[status(thm)],[201,1,44]),
[iquote('0:MRR:201.0,201.4,1.0,44.0')] ).
cnf(490,plain,
( ~ m2_lattice4(u,skc16)
| equal(k7_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[400,405]),
[iquote('0:Res:400.1,405.0')] ).
cnf(502,plain,
( ~ m2_lattice4(u,skc16)
| ~ m2_filter_2(u,skc16)
| m1_filter_2(u,k1_lattice2(skc16)) ),
inference(spr,[status(thm),theory(equality)],[490,403]),
[iquote('0:SpR:490.1,403.1')] ).
cnf(508,plain,
( ~ m2_filter_2(u,skc16)
| m1_filter_2(u,k1_lattice2(skc16)) ),
inference(mrr,[status(thm)],[502,392]),
[iquote('0:MRR:502.0,392.1')] ).
cnf(994,plain,
( ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m2_filter_2(u,skc16)
| v3_struct_0(k1_lattice2(skc16))
| m1_filter_0(u,k1_lattice2(skc16)) ),
inference(res,[status(thm),theory(equality)],[508,143]),
[iquote('0:Res:508.1,143.2')] ).
cnf(997,plain,
( ~ m2_filter_2(u,skc16)
| v3_struct_0(k1_lattice2(skc16))
| m1_filter_0(u,k1_lattice2(skc16)) ),
inference(ssi,[status(thm)],[994,374,373,243,372,371,370,369,386,375,244]),
[iquote('0:SSi:994.1,994.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0')] ).
cnf(998,plain,
( ~ m2_filter_2(u,skc16)
| m1_filter_0(u,k1_lattice2(skc16)) ),
inference(mrr,[status(thm)],[997,361]),
[iquote('0:MRR:997.1,361.0')] ).
cnf(1073,plain,
( ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_filter_0(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| equal(k8_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[145,411]),
[iquote('0:Res:145.4,411.0')] ).
cnf(1074,plain,
( ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_filter_0(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(res,[status(thm),theory(equality)],[145,410]),
[iquote('0:Res:145.4,410.0')] ).
cnf(1076,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(ssi,[status(thm)],[1074,374,373,243,372,371,370,369,386,375,244]),
[iquote('0:SSi:1074.1,1074.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0')] ).
cnf(1077,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| m1_subset_1(u,k1_zfmisc_1(u1_struct_0(skc16))) ),
inference(mrr,[status(thm)],[1076,361]),
[iquote('0:MRR:1076.1,361.0')] ).
cnf(1078,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| v3_struct_0(k1_lattice2(skc16))
| equal(k8_filter_2(skc16,u),u) ),
inference(ssi,[status(thm)],[1073,374,373,243,372,371,370,369,386,375,244]),
[iquote('0:SSi:1073.1,1073.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0')] ).
cnf(1079,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| equal(k8_filter_2(skc16,u),u) ),
inference(mrr,[status(thm)],[1078,361]),
[iquote('0:MRR:1078.1,361.0')] ).
cnf(1080,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| m2_filter_2(u,skc16) ),
inference(rew,[status(thm),theory(equality)],[1079,402]),
[iquote('0:Rew:1079.1,402.1')] ).
cnf(1107,plain,
( ~ m1_filter_0(u,k1_lattice2(skc16))
| equal(k7_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[1077,405]),
[iquote('0:Res:1077.1,405.0')] ).
cnf(1186,plain,
( ~ m2_filter_2(u,skc16)
| equal(k7_filter_2(skc16,u),u) ),
inference(res,[status(thm),theory(equality)],[998,1107]),
[iquote('0:Res:998.1,1107.0')] ).
cnf(1194,plain,
( ~ m2_filter_2(u,skc16)
| ~ v1_filter_0(u,k1_lattice2(skc16))
| r2_filter_2(skc16,u) ),
inference(rew,[status(thm),theory(equality)],[1186,414]),
[iquote('0:Rew:1186.1,414.1')] ).
cnf(1747,plain,
( ~ v13_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| ~ m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16)
| v3_struct_0(k1_lattice2(skc16))
| equal(u,k5_lattices(k1_lattice2(skc16)))
| r2_filter_2(skc16,skf23(u,k1_lattice2(skc16))) ),
inference(res,[status(thm),theory(equality)],[170,1194]),
[iquote('0:Res:170.6,1194.1')] ).
cnf(1748,plain,
( ~ v13_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| ~ m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16)
| v3_struct_0(k1_lattice2(skc16))
| equal(u,k6_lattices(skc16))
| r2_filter_2(skc16,skf23(u,k1_lattice2(skc16))) ),
inference(rew,[status(thm),theory(equality)],[398,1747]),
[iquote('0:Rew:398.0,1747.6')] ).
cnf(1749,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| ~ m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16)
| v3_struct_0(k1_lattice2(skc16))
| equal(u,k6_lattices(skc16))
| r2_filter_2(skc16,skf23(u,k1_lattice2(skc16))) ),
inference(ssi,[status(thm)],[1748,374,373,243,372,371,370,369,386,375,244]),
[iquote('0:SSi:1748.2,1748.1,1748.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0')] ).
cnf(1750,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| ~ m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16)
| equal(u,k6_lattices(skc16))
| r2_filter_2(skc16,skf23(u,k1_lattice2(skc16))) ),
inference(mrr,[status(thm)],[1749,361]),
[iquote('0:MRR:1749.2,361.0')] ).
cnf(1810,plain,
( ~ v13_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| v3_struct_0(k1_lattice2(skc16))
| equal(u,k5_lattices(k1_lattice2(skc16)))
| m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16) ),
inference(res,[status(thm),theory(equality)],[172,1080]),
[iquote('0:Res:172.6,1080.0')] ).
cnf(1818,plain,
( ~ v13_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| v3_struct_0(k1_lattice2(skc16))
| equal(u,k6_lattices(skc16))
| m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16) ),
inference(rew,[status(thm),theory(equality)],[398,1810]),
[iquote('0:Rew:398.0,1810.5')] ).
cnf(1819,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| v3_struct_0(k1_lattice2(skc16))
| equal(u,k6_lattices(skc16))
| m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16) ),
inference(ssi,[status(thm)],[1818,374,373,243,372,371,370,369,386,375,244]),
[iquote('0:SSi:1818.2,1818.1,1818.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0,374.0,373.0,243.0,372.0,371.0,370.0,369.0,386.0,375.0,244.0')] ).
cnf(1820,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| equal(u,k6_lattices(skc16))
| m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16) ),
inference(mrr,[status(thm)],[1819,361]),
[iquote('0:MRR:1819.1,361.0')] ).
cnf(1821,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| equal(u,k6_lattices(skc16))
| r2_filter_2(skc16,skf23(u,k1_lattice2(skc16))) ),
inference(mrr,[status(thm)],[1750,1820]),
[iquote('0:MRR:1750.1,1820.2')] ).
cnf(1866,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v13_lattices(k1_lattice2(u))
| ~ l3_lattices(k1_lattice2(u))
| ~ v10_lattices(k1_lattice2(u))
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| v3_struct_0(k1_lattice2(u))
| equal(v,k5_lattices(k1_lattice2(u)))
| r2_hidden(v,skf23(v,w)) ),
inference(res,[status(thm),theory(equality)],[184,171]),
[iquote('0:Res:184.4,171.3')] ).
cnf(1910,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v13_lattices(k1_lattice2(u))
| ~ v10_lattices(k1_lattice2(u))
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| v3_struct_0(k1_lattice2(u))
| equal(v,k5_lattices(k1_lattice2(u)))
| r2_hidden(v,skf23(v,w)) ),
inference(ssi,[status(thm)],[1866,64,65]),
[iquote('0:SSi:1866.3,64.1,65.1')] ).
cnf(1911,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v13_lattices(k1_lattice2(u))
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,k5_lattices(k1_lattice2(u)))
| r2_hidden(v,skf23(v,w)) ),
inference(mrr,[status(thm)],[1910,115,80]),
[iquote('0:MRR:1910.3,1910.6,115.3,80.1')] ).
cnf(4646,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v14_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(v,k5_lattices(k1_lattice2(u)))
| r2_hidden(v,skf23(v,w))
| v3_struct_0(u) ),
inference(sor,[status(thm)],[1911,135]),
[iquote('0:SoR:1911.2,135.4')] ).
cnf(4649,plain,
( ~ v14_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| equal(v,k5_lattices(k1_lattice2(u)))
| r2_hidden(v,skf23(v,w))
| v3_struct_0(u) ),
inference(obv,[status(thm),theory(equality)],[4646]),
[iquote('0:Obv:4646.6')] ).
cnf(4650,plain,
( ~ v14_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| equal(v,k6_lattices(u))
| r2_hidden(v,skf23(v,w))
| v3_struct_0(u) ),
inference(rew,[status(thm),theory(equality)],[147,4649]),
[iquote('0:Rew:147.4,4649.4')] ).
cnf(6369,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| ~ m2_filter_2(skf23(u,k1_lattice2(skc16)),skc16)
| ~ r2_hidden(skc17,skf23(u,k1_lattice2(skc16)))
| equal(u,k6_lattices(skc16)) ),
inference(res,[status(thm),theory(equality)],[1821,116]),
[iquote('0:Res:1821.2,116.1')] ).
cnf(6370,plain,
( ~ m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| ~ r2_hidden(skc17,skf23(u,k1_lattice2(skc16)))
| equal(u,k6_lattices(skc16)) ),
inference(mrr,[status(thm)],[6369,1820]),
[iquote('0:MRR:6369.1,1820.2')] ).
cnf(11861,plain,
( ~ v14_lattices(skc16)
| ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| equal(k6_lattices(skc16),skc17)
| r2_hidden(skc17,skf23(skc17,u))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[52,4650]),
[iquote('0:Res:52.0,4650.3')] ).
cnf(12043,plain,
( equal(k6_lattices(skc16),skc17)
| r2_hidden(skc17,skf23(skc17,u))
| v3_struct_0(skc16) ),
inference(ssi,[status(thm)],[11861,3,1,2,367,366,365,364,363,362,246,245]),
[iquote('0:SSi:11861.2,11861.1,11861.0,3.0,1.0,2.0,367.0,366.0,365.0,364.0,363.0,362.0,246.0,245.0,3.0,1.0,2.0,367.0,366.0,365.0,364.0,363.0,362.0,246.0,245.0,3.0,1.0,2.0,367.0,366.0,365.0,364.0,363.0,362.0,246.0,245.0')] ).
cnf(12044,plain,
r2_hidden(skc17,skf23(skc17,u)),
inference(mrr,[status(thm)],[12043,56,44]),
[iquote('0:MRR:12043.0,12043.2,56.0,44.0')] ).
cnf(15806,plain,
( ~ m1_subset_1(skc17,u1_struct_0(k1_lattice2(skc16)))
| equal(k6_lattices(skc16),skc17) ),
inference(res,[status(thm),theory(equality)],[12044,6370]),
[iquote('0:Res:12044.0,6370.1')] ).
cnf(15807,plain,
~ m1_subset_1(skc17,u1_struct_0(k1_lattice2(skc16))),
inference(mrr,[status(thm)],[15806,56]),
[iquote('0:MRR:15806.1,56.0')] ).
cnf(15819,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| ~ m1_subset_1(skc17,u1_struct_0(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[184,15807]),
[iquote('0:Res:184.4,15807.0')] ).
cnf(15828,plain,
( ~ m1_subset_1(skc17,u1_struct_0(skc16))
| v3_struct_0(skc16) ),
inference(ssi,[status(thm)],[15819,3,1,2,367,366,365,364,363,362,246,245]),
[iquote('0:SSi:15819.1,15819.0,3.0,1.0,2.0,367.0,366.0,365.0,364.0,363.0,362.0,246.0,245.0,3.0,1.0,2.0,367.0,366.0,365.0,364.0,363.0,362.0,246.0,245.0')] ).
cnf(15829,plain,
$false,
inference(mrr,[status(thm)],[15828,52,44]),
[iquote('0:MRR:15828.0,15828.1,52.0,44.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : LAT309+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.09 % Command : run_spass %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Wed Jun 29 20:02:13 EDT 2022
% 0.09/0.28 % CPUTime :
% 3.51/3.75
% 3.51/3.75 SPASS V 3.9
% 3.51/3.75 SPASS beiseite: Proof found.
% 3.51/3.75 % SZS status Theorem
% 3.51/3.75 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.51/3.75 SPASS derived 11896 clauses, backtracked 418 clauses, performed 41 splits and kept 4417 clauses.
% 3.51/3.75 SPASS allocated 112045 KBytes.
% 3.51/3.75 SPASS spent 0:00:03.44 on the problem.
% 3.51/3.75 0:00:00.02 for the input.
% 3.51/3.75 0:00:00.03 for the FLOTTER CNF translation.
% 3.51/3.75 0:00:00.26 for inferences.
% 3.51/3.75 0:00:00.16 for the backtracking.
% 3.51/3.75 0:00:02.83 for the reduction.
% 3.51/3.75
% 3.51/3.75
% 3.51/3.75 Here is a proof with depth 5, length 142 :
% 3.51/3.75 % SZS output start Refutation
% See solution above
% 3.74/4.01 Formulae used in the proof : t36_filter_2 dt_l3_lattices dt_k1_lattice2 fc1_lattice2 cc1_lattices fc6_lattice2 t64_lattice2 dt_m2_filter_2 redefinition_m1_filter_2 dt_m1_filter_0 dt_m2_lattice4 t79_lattice2 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 t24_filter_0
% 3.74/4.01
%------------------------------------------------------------------------------