TSTP Solution File: LAT311+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT311+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:50:35 EDT 2022
% Result : Theorem 8.59s 8.77s
% Output : Refutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 39
% Syntax : Number of clauses : 109 ( 31 unt; 64 nHn; 109 RR)
% Number of literals : 371 ( 0 equ; 184 neg)
% Maximal clause size : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc16),
file('LAT311+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc16),
file('LAT311+1.p',unknown),
[] ).
cnf(32,axiom,
~ v3_struct_0(skc16),
file('LAT311+1.p',unknown),
[] ).
cnf(33,axiom,
r2_hidden(skc17,skc18),
file('LAT311+1.p',unknown),
[] ).
cnf(40,axiom,
m1_subset_1(skc17,u1_struct_0(skc16)),
file('LAT311+1.p',unknown),
[] ).
cnf(44,axiom,
m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(skc16))),
file('LAT311+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(63,axiom,
~ r1_tarski(k18_filter_2(skc16,skc17),k19_filter_2(skc16,skc18)),
file('LAT311+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT311+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ r2_hidden(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| m1_subset_1(u,w) ),
file('LAT311+1.p',unknown),
[] ).
cnf(130,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('LAT311+1.p',unknown),
[] ).
cnf(142,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('LAT311+1.p',unknown),
[] ).
cnf(143,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('LAT311+1.p',unknown),
[] ).
cnf(144,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('LAT311+1.p',unknown),
[] ).
cnf(145,axiom,
( ~ l3_lattices(u)
| ~ v10_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('LAT311+1.p',unknown),
[] ).
cnf(146,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('LAT311+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ l3_lattices(u)
| ~ v10_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('LAT311+1.p',unknown),
[] ).
cnf(154,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('LAT311+1.p',unknown),
[] ).
cnf(156,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('LAT311+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v1_xboole_0(v)
| v3_struct_0(u)
| equal(k3_filter_2(u,v),k3_filter_0(u,v)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| ~ r2_hidden(v,w)
| v3_struct_0(u)
| v1_xboole_0(w)
| r1_tarski(k2_filter_0(u,v),k3_filter_0(u,w)) ),
file('LAT311+1.p',unknown),
[] ).
cnf(169,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(k1_lattice2(u))))
| equal(k19_filter_2(u,k8_filter_2(u,w)),k3_filter_2(k1_lattice2(u),w))
| v3_struct_0(u)
| v1_xboole_0(v)
| v1_xboole_0(w) ),
file('LAT311+1.p',unknown),
[] ).
cnf(182,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)],[130,144]),
[iquote('0:Rew:130.4,144.3')] ).
cnf(185,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(k2_filter_2(u,v),a_2_0_filter_0(u,v)) ),
inference(rew,[status(thm),theory(equality)],[147,143]),
[iquote('0:Rew:147.4,143.3')] ).
cnf(190,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)],[142,154]),
[iquote('0:Rew:142.4,154.3')] ).
cnf(192,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(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)],[130,156,145]),
[iquote('0:Rew:130.4,156.3,145.4,156.3')] ).
cnf(194,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| ~ r2_hidden(v,w)
| v3_struct_0(u)
| v1_xboole_0(w)
| r1_tarski(a_2_0_filter_0(u,v),k3_filter_0(u,w)) ),
inference(rew,[status(thm),theory(equality)],[147,166]),
[iquote('0:Rew:147.4,166.7')] ).
cnf(195,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ r2_hidden(v,w)
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| r1_tarski(a_2_0_filter_0(u,v),k3_filter_0(u,w)) ),
inference(mrr,[status(thm)],[194,108,62]),
[iquote('0:MRR:194.2,194.6,108.2,62.0')] ).
cnf(196,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(k1_lattice2(u))))
| v1_xboole_0(w)
| v1_xboole_0(v)
| v3_struct_0(u)
| equal(k3_filter_2(k1_lattice2(u),w),k19_filter_2(u,w)) ),
inference(rew,[status(thm),theory(equality)],[146,169]),
[iquote('0:Rew:146.4,169.4')] ).
cnf(217,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,u1_struct_0(skc16))
| equal(k2_filter_2(k1_lattice2(skc16),u),a_2_0_filter_2(skc16,u))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,192]),
[iquote('0:Res:2.0,192.1')] ).
cnf(229,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,u1_struct_0(skc16))
| v3_struct_0(skc16)
| equal(k18_filter_2(skc16,u),a_2_0_filter_2(skc16,u)) ),
inference(res,[status(thm),theory(equality)],[2,145]),
[iquote('0:Res:2.0,145.1')] ).
cnf(230,plain,
( ~ v10_lattices(skc16)
| ~ m1_subset_1(u,u1_struct_0(skc16))
| m1_subset_1(u,u1_struct_0(k1_lattice2(skc16)))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,182]),
[iquote('0:Res:2.0,182.0')] ).
cnf(246,plain,
( ~ v10_lattices(skc16)
| v4_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,94]),
[iquote('0:Res:2.0,94.1')] ).
cnf(247,plain,
( ~ v10_lattices(skc16)
| v5_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,95]),
[iquote('0:Res:2.0,95.1')] ).
cnf(248,plain,
( ~ v10_lattices(skc16)
| v6_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,96]),
[iquote('0:Res:2.0,96.1')] ).
cnf(249,plain,
( ~ v10_lattices(skc16)
| v7_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,97]),
[iquote('0:Res:2.0,97.1')] ).
cnf(250,plain,
( ~ v10_lattices(skc16)
| v8_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,98]),
[iquote('0:Res:2.0,98.1')] ).
cnf(251,plain,
( ~ v10_lattices(skc16)
| v9_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,99]),
[iquote('0:Res:2.0,99.1')] ).
cnf(252,plain,
( ~ v10_lattices(skc16)
| v10_lattices(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,100]),
[iquote('0:Res:2.0,100.1')] ).
cnf(253,plain,
( ~ v10_lattices(skc16)
| v4_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,77]),
[iquote('0:Res:2.0,77.0')] ).
cnf(254,plain,
( ~ v10_lattices(skc16)
| v5_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,78]),
[iquote('0:Res:2.0,78.0')] ).
cnf(255,plain,
( ~ v10_lattices(skc16)
| v6_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,79]),
[iquote('0:Res:2.0,79.0')] ).
cnf(256,plain,
( ~ v10_lattices(skc16)
| v7_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,80]),
[iquote('0:Res:2.0,80.0')] ).
cnf(257,plain,
( ~ v10_lattices(skc16)
| v8_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,81]),
[iquote('0:Res:2.0,81.0')] ).
cnf(258,plain,
( ~ v10_lattices(skc16)
| v9_lattices(skc16)
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,82]),
[iquote('0:Res:2.0,82.0')] ).
cnf(259,plain,
( ~ v3_struct_0(k1_lattice2(skc16))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[2,69]),
[iquote('0:Res:2.0,69.0')] ).
cnf(260,plain,
v3_lattices(k1_lattice2(skc16)),
inference(res,[status(thm),theory(equality)],[2,52]),
[iquote('0:Res:2.0,52.0')] ).
cnf(261,plain,
l3_lattices(k1_lattice2(skc16)),
inference(res,[status(thm),theory(equality)],[2,53]),
[iquote('0:Res:2.0,53.0')] ).
cnf(262,plain,
l1_lattices(skc16),
inference(res,[status(thm),theory(equality)],[2,48]),
[iquote('0:Res:2.0,48.0')] ).
cnf(263,plain,
l2_lattices(skc16),
inference(res,[status(thm),theory(equality)],[2,49]),
[iquote('0:Res:2.0,49.0')] ).
cnf(324,plain,
~ v1_xboole_0(skc18),
inference(res,[status(thm),theory(equality)],[33,62]),
[iquote('0:Res:33.0,62.1')] ).
cnf(328,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| r1_tarski(a_2_0_filter_0(u,skc17),k3_filter_0(u,skc18)) ),
inference(res,[status(thm),theory(equality)],[33,195]),
[iquote('0:Res:33.0,195.3')] ).
cnf(405,plain,
~ v3_struct_0(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[259,32]),
[iquote('0:MRR:259.1,32.0')] ).
cnf(406,plain,
v4_lattices(skc16),
inference(mrr,[status(thm)],[253,1,32]),
[iquote('0:MRR:253.0,253.2,1.0,32.0')] ).
cnf(407,plain,
v5_lattices(skc16),
inference(mrr,[status(thm)],[254,1,32]),
[iquote('0:MRR:254.0,254.2,1.0,32.0')] ).
cnf(408,plain,
v6_lattices(skc16),
inference(mrr,[status(thm)],[255,1,32]),
[iquote('0:MRR:255.0,255.2,1.0,32.0')] ).
cnf(409,plain,
v7_lattices(skc16),
inference(mrr,[status(thm)],[256,1,32]),
[iquote('0:MRR:256.0,256.2,1.0,32.0')] ).
cnf(410,plain,
v8_lattices(skc16),
inference(mrr,[status(thm)],[257,1,32]),
[iquote('0:MRR:257.0,257.2,1.0,32.0')] ).
cnf(411,plain,
v9_lattices(skc16),
inference(mrr,[status(thm)],[258,1,32]),
[iquote('0:MRR:258.0,258.2,1.0,32.0')] ).
cnf(412,plain,
v4_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[246,1,32]),
[iquote('0:MRR:246.0,246.2,1.0,32.0')] ).
cnf(413,plain,
v5_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[247,1,32]),
[iquote('0:MRR:247.0,247.2,1.0,32.0')] ).
cnf(414,plain,
v6_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[248,1,32]),
[iquote('0:MRR:248.0,248.2,1.0,32.0')] ).
cnf(415,plain,
v7_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[249,1,32]),
[iquote('0:MRR:249.0,249.2,1.0,32.0')] ).
cnf(416,plain,
v8_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[250,1,32]),
[iquote('0:MRR:250.0,250.2,1.0,32.0')] ).
cnf(417,plain,
v9_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[251,1,32]),
[iquote('0:MRR:251.0,251.2,1.0,32.0')] ).
cnf(418,plain,
v10_lattices(k1_lattice2(skc16)),
inference(mrr,[status(thm)],[252,1,32]),
[iquote('0:MRR:252.0,252.2,1.0,32.0')] ).
cnf(442,plain,
( ~ m1_subset_1(u,u1_struct_0(skc16))
| m1_subset_1(u,u1_struct_0(k1_lattice2(skc16))) ),
inference(mrr,[status(thm)],[230,1,32]),
[iquote('0:MRR:230.0,230.3,1.0,32.0')] ).
cnf(452,plain,
( ~ m1_subset_1(u,u1_struct_0(skc16))
| equal(k18_filter_2(skc16,u),a_2_0_filter_2(skc16,u)) ),
inference(mrr,[status(thm)],[229,1,32]),
[iquote('0:MRR:229.0,229.2,1.0,32.0')] ).
cnf(454,plain,
( ~ m1_subset_1(u,u1_struct_0(skc16))
| equal(k2_filter_2(k1_lattice2(skc16),u),a_2_0_filter_2(skc16,u)) ),
inference(mrr,[status(thm)],[217,1,32]),
[iquote('0:MRR:217.0,217.3,1.0,32.0')] ).
cnf(950,plain,
equal(k18_filter_2(skc16,skc17),a_2_0_filter_2(skc16,skc17)),
inference(res,[status(thm),theory(equality)],[40,452]),
[iquote('0:Res:40.0,452.0')] ).
cnf(958,plain,
~ r1_tarski(a_2_0_filter_2(skc16,skc17),k19_filter_2(skc16,skc18)),
inference(rew,[status(thm),theory(equality)],[950,63]),
[iquote('0:Rew:950.0,63.0')] ).
cnf(2228,plain,
( ~ v10_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(u,u1_struct_0(skc16))
| v3_struct_0(k1_lattice2(skc16))
| equal(k2_filter_2(k1_lattice2(skc16),u),a_2_0_filter_0(k1_lattice2(skc16),u)) ),
inference(res,[status(thm),theory(equality)],[442,185]),
[iquote('0:Res:442.1,185.2')] ).
cnf(2248,plain,
( ~ v10_lattices(k1_lattice2(skc16))
| ~ l3_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(u,u1_struct_0(skc16))
| v3_struct_0(k1_lattice2(skc16))
| equal(a_2_0_filter_0(k1_lattice2(skc16),u),a_2_0_filter_2(skc16,u)) ),
inference(rew,[status(thm),theory(equality)],[454,2228]),
[iquote('0:Rew:454.1,2228.4')] ).
cnf(2249,plain,
( ~ m1_subset_1(u,u1_struct_0(skc16))
| v3_struct_0(k1_lattice2(skc16))
| equal(a_2_0_filter_0(k1_lattice2(skc16),u),a_2_0_filter_2(skc16,u)) ),
inference(ssi,[status(thm)],[2248,260,417,416,415,413,412,414,418,261]),
[iquote('0:SSi:2248.1,2248.0,260.0,417.0,416.0,415.0,413.0,412.0,414.0,418.0,261.0,260.0,417.0,416.0,415.0,413.0,412.0,414.0,418.0,261.0')] ).
cnf(2250,plain,
( ~ m1_subset_1(u,u1_struct_0(skc16))
| equal(a_2_0_filter_0(k1_lattice2(skc16),u),a_2_0_filter_2(skc16,u)) ),
inference(mrr,[status(thm)],[2249,405]),
[iquote('0:MRR:2249.1,405.0')] ).
cnf(2471,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(k1_lattice2(u))
| ~ v10_lattices(k1_lattice2(u))
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_xboole_0(v)
| v3_struct_0(k1_lattice2(u))
| equal(k3_filter_2(k1_lattice2(u),v),k3_filter_0(k1_lattice2(u),v)) ),
inference(res,[status(thm),theory(equality)],[190,158]),
[iquote('0:Res:190.4,158.2')] ).
cnf(2520,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(k1_lattice2(u))
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_xboole_0(v)
| v3_struct_0(k1_lattice2(u))
| equal(k3_filter_2(k1_lattice2(u),v),k3_filter_0(k1_lattice2(u),v)) ),
inference(ssi,[status(thm)],[2471,52,53]),
[iquote('0:SSi:2471.2,52.1,53.1')] ).
cnf(2521,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_xboole_0(v)
| equal(k3_filter_2(k1_lattice2(u),v),k3_filter_0(k1_lattice2(u),v)) ),
inference(mrr,[status(thm)],[2520,100,69]),
[iquote('0:MRR:2520.2,2520.6,100.3,69.1')] ).
cnf(2939,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| v3_struct_0(u)
| v1_xboole_0(v)
| v1_xboole_0(w)
| v3_struct_0(u)
| equal(k3_filter_2(k1_lattice2(u),v),k19_filter_2(u,v)) ),
inference(res,[status(thm),theory(equality)],[190,196]),
[iquote('0:Res:190.4,196.3')] ).
cnf(2960,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_subset_1(w,k1_zfmisc_1(u1_struct_0(u)))
| v1_xboole_0(v)
| v1_xboole_0(w)
| v3_struct_0(u)
| equal(k3_filter_2(k1_lattice2(u),v),k19_filter_2(u,v)) ),
inference(obv,[status(thm),theory(equality)],[2939]),
[iquote('0:Obv:2939.6')] ).
cnf(2961,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v1_xboole_0(v)
| v3_struct_0(u)
| equal(k3_filter_2(k1_lattice2(u),v),k19_filter_2(u,v)) ),
inference(con,[status(thm)],[2960]),
[iquote('0:Con:2960.3')] ).
cnf(2962,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| v1_xboole_0(v)
| v3_struct_0(u)
| equal(k3_filter_0(k1_lattice2(u),v),k19_filter_2(u,v)) ),
inference(rew,[status(thm),theory(equality)],[2521,2961]),
[iquote('0:Rew:2521.5,2961.5')] ).
cnf(7043,plain,
( ~ l3_lattices(skc16)
| ~ v10_lattices(skc16)
| v1_xboole_0(skc18)
| v3_struct_0(skc16)
| equal(k3_filter_0(k1_lattice2(skc16),skc18),k19_filter_2(skc16,skc18)) ),
inference(res,[status(thm),theory(equality)],[44,2962]),
[iquote('0:Res:44.0,2962.2')] ).
cnf(7086,plain,
( v1_xboole_0(skc18)
| v3_struct_0(skc16)
| equal(k3_filter_0(k1_lattice2(skc16),skc18),k19_filter_2(skc16,skc18)) ),
inference(ssi,[status(thm)],[7043,1,2,411,410,409,407,406,408,263,262]),
[iquote('0:SSi:7043.1,7043.0,1.0,2.0,411.0,410.0,409.0,407.0,406.0,408.0,263.0,262.0,1.0,2.0,411.0,410.0,409.0,407.0,406.0,408.0,263.0,262.0')] ).
cnf(7087,plain,
equal(k3_filter_0(k1_lattice2(skc16),skc18),k19_filter_2(skc16,skc18)),
inference(mrr,[status(thm)],[7086,324,32]),
[iquote('0:MRR:7086.0,7086.1,324.0,32.0')] ).
cnf(10035,plain,
( ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(skc17,u1_struct_0(skc16))
| ~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| v3_struct_0(k1_lattice2(skc16))
| r1_tarski(a_2_0_filter_2(skc16,skc17),k3_filter_0(k1_lattice2(skc16),skc18)) ),
inference(spr,[status(thm),theory(equality)],[2250,328]),
[iquote('0:SpR:2250.1,328.4')] ).
cnf(10048,plain,
( ~ l3_lattices(k1_lattice2(skc16))
| ~ v10_lattices(k1_lattice2(skc16))
| ~ m1_subset_1(skc17,u1_struct_0(skc16))
| ~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| v3_struct_0(k1_lattice2(skc16))
| r1_tarski(a_2_0_filter_2(skc16,skc17),k19_filter_2(skc16,skc18)) ),
inference(rew,[status(thm),theory(equality)],[7087,10035]),
[iquote('0:Rew:7087.0,10035.5')] ).
cnf(10049,plain,
( ~ m1_subset_1(skc17,u1_struct_0(skc16))
| ~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16))))
| v3_struct_0(k1_lattice2(skc16))
| r1_tarski(a_2_0_filter_2(skc16,skc17),k19_filter_2(skc16,skc18)) ),
inference(ssi,[status(thm)],[10048,260,417,416,415,413,412,414,418,261]),
[iquote('0:SSi:10048.1,10048.0,260.0,417.0,416.0,415.0,413.0,412.0,414.0,418.0,261.0,260.0,417.0,416.0,415.0,413.0,412.0,414.0,418.0,261.0')] ).
cnf(10050,plain,
~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(k1_lattice2(skc16)))),
inference(mrr,[status(thm)],[10049,40,405,958]),
[iquote('0:MRR:10049.0,10049.2,10049.3,40.0,405.0,958.0')] ).
cnf(10074,plain,
( ~ v10_lattices(skc16)
| ~ l3_lattices(skc16)
| ~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(skc16)))
| v3_struct_0(skc16) ),
inference(res,[status(thm),theory(equality)],[190,10050]),
[iquote('0:Res:190.4,10050.0')] ).
cnf(10078,plain,
( ~ m1_subset_1(skc18,k1_zfmisc_1(u1_struct_0(skc16)))
| v3_struct_0(skc16) ),
inference(ssi,[status(thm)],[10074,1,2,411,410,409,407,406,408,263,262]),
[iquote('0:SSi:10074.1,10074.0,1.0,2.0,411.0,410.0,409.0,407.0,406.0,408.0,263.0,262.0,1.0,2.0,411.0,410.0,409.0,407.0,406.0,408.0,263.0,262.0')] ).
cnf(10079,plain,
$false,
inference(mrr,[status(thm)],[10078,44,32]),
[iquote('0:MRR:10078.0,10078.1,44.0,32.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT311+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 29 23:38:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.59/8.77
% 8.59/8.77 SPASS V 3.9
% 8.59/8.77 SPASS beiseite: Proof found.
% 8.59/8.77 % SZS status Theorem
% 8.59/8.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.59/8.77 SPASS derived 7220 clauses, backtracked 1062 clauses, performed 25 splits and kept 5096 clauses.
% 8.59/8.77 SPASS allocated 108170 KBytes.
% 8.59/8.77 SPASS spent 0:00:08.40 on the problem.
% 8.59/8.77 0:00:00.02 for the input.
% 8.59/8.77 0:00:00.03 for the FLOTTER CNF translation.
% 8.59/8.77 0:00:00.14 for inferences.
% 8.59/8.77 0:00:00.20 for the backtracking.
% 8.59/8.77 0:00:07.90 for the reduction.
% 8.59/8.77
% 8.59/8.77
% 8.59/8.77 Here is a proof with depth 4, length 109 :
% 8.59/8.77 % SZS output start Refutation
% See solution above
% 8.75/8.91 Formulae used in the proof : t40_filter_2 dt_l3_lattices dt_k1_lattice2 t7_boole fc1_lattice2 cc1_lattices fc6_lattice2 t4_subset d4_filter_2 d6_filter_2 redefinition_k2_filter_2 dt_k5_filter_2 d9_filter_2 d7_filter_2 d3_filter_0 dt_k7_filter_2 t30_filter_2 redefinition_k3_filter_2 t29_filter_0 t37_filter_2
% 8.75/8.91
%------------------------------------------------------------------------------