TSTP Solution File: LAT346+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 06:51:11 EDT 2022
% Result : Theorem 0.48s 0.66s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of clauses : 85 ( 25 unt; 52 nHn; 85 RR)
% Number of literals : 223 ( 0 equ; 79 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
l2_conlat_1(skc16),
file('LAT346+1.p',unknown),
[] ).
cnf(40,axiom,
~ v3_conlat_1(skc16),
file('LAT346+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(79,axiom,
~ r1_filter_1(k11_conlat_1(k7_conlat_2(skc16)),k1_lattice2(k11_conlat_1(skc16))),
file('LAT346+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| l3_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v4_conlat_1(k7_conlat_2(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| l2_conlat_1(k7_conlat_2(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v13_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v14_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v15_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v3_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v4_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v5_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v6_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v7_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v8_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v9_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v10_lattices(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v4_lattice3(k11_conlat_1(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ l2_conlat_1(u)
| ~ v3_conlat_1(k7_conlat_2(u))
| v3_conlat_1(u) ),
file('LAT346+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT346+1.p',unknown),
[] ).
cnf(128,axiom,
( ~ l2_conlat_1(u)
| ~ v3_struct_0(k11_conlat_1(u))
| v3_conlat_1(u) ),
file('LAT346+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT346+1.p',unknown),
[] ).
cnf(179,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| m1_lattice4(k10_conlat_2(u),k1_lattice2(k11_conlat_1(u)),k11_conlat_1(k7_conlat_2(u))) ),
file('LAT346+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ l2_conlat_1(u)
| v3_conlat_1(u)
| v3_lattice4(k10_conlat_2(u),k1_lattice2(k11_conlat_1(u)),k11_conlat_1(k7_conlat_2(u))) ),
file('LAT346+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(v)
| ~ v10_lattices(v)
| ~ r1_filter_1(v,u)
| v3_struct_0(u)
| v3_struct_0(v)
| r1_filter_1(u,v) ),
file('LAT346+1.p',unknown),
[] ).
cnf(218,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(v)
| ~ v10_lattices(v)
| ~ v3_lattice4(w,v,u)
| ~ m1_lattice4(w,v,u)
| v3_struct_0(u)
| v3_struct_0(v)
| r1_filter_1(v,u) ),
file('LAT346+1.p',unknown),
[] ).
cnf(230,plain,
( v3_conlat_1(skc16)
| m1_lattice4(k10_conlat_2(skc16),k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))) ),
inference(res,[status(thm),theory(equality)],[1,179]),
[iquote('0:Res:1.0,179.0')] ).
cnf(231,plain,
( v3_conlat_1(skc16)
| v3_lattice4(k10_conlat_2(skc16),k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))) ),
inference(res,[status(thm),theory(equality)],[1,190]),
[iquote('0:Res:1.0,190.0')] ).
cnf(233,plain,
( ~ v3_conlat_1(k7_conlat_2(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,120]),
[iquote('0:Res:1.0,120.0')] ).
cnf(234,plain,
( ~ v3_struct_0(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,128]),
[iquote('0:Res:1.0,128.0')] ).
cnf(235,plain,
( l3_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,82]),
[iquote('0:Res:1.0,82.0')] ).
cnf(236,plain,
( v4_conlat_1(k7_conlat_2(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,83]),
[iquote('0:Res:1.0,83.0')] ).
cnf(237,plain,
( l2_conlat_1(k7_conlat_2(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,84]),
[iquote('0:Res:1.0,84.0')] ).
cnf(238,plain,
( v13_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,93]),
[iquote('0:Res:1.0,93.0')] ).
cnf(239,plain,
( v14_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,94]),
[iquote('0:Res:1.0,94.0')] ).
cnf(240,plain,
( v15_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,95]),
[iquote('0:Res:1.0,95.0')] ).
cnf(241,plain,
( v3_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,106]),
[iquote('0:Res:1.0,106.0')] ).
cnf(242,plain,
( v4_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,107]),
[iquote('0:Res:1.0,107.0')] ).
cnf(243,plain,
( v5_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,108]),
[iquote('0:Res:1.0,108.0')] ).
cnf(244,plain,
( v6_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,109]),
[iquote('0:Res:1.0,109.0')] ).
cnf(245,plain,
( v7_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,110]),
[iquote('0:Res:1.0,110.0')] ).
cnf(246,plain,
( v8_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,111]),
[iquote('0:Res:1.0,111.0')] ).
cnf(247,plain,
( v9_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,112]),
[iquote('0:Res:1.0,112.0')] ).
cnf(248,plain,
( v10_lattices(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,113]),
[iquote('0:Res:1.0,113.0')] ).
cnf(249,plain,
( v4_lattice3(k11_conlat_1(skc16))
| v3_conlat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[1,114]),
[iquote('0:Res:1.0,114.0')] ).
cnf(276,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ r1_filter_1(k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16))) ),
inference(res,[status(thm),theory(equality)],[211,79]),
[iquote('0:Res:211.6,79.0')] ).
cnf(277,plain,
l3_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[235,40]),
[iquote('0:MRR:235.1,40.0')] ).
cnf(278,plain,
v4_conlat_1(k7_conlat_2(skc16)),
inference(mrr,[status(thm)],[236,40]),
[iquote('0:MRR:236.1,40.0')] ).
cnf(279,plain,
l2_conlat_1(k7_conlat_2(skc16)),
inference(mrr,[status(thm)],[237,40]),
[iquote('0:MRR:237.1,40.0')] ).
cnf(280,plain,
v13_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[238,40]),
[iquote('0:MRR:238.1,40.0')] ).
cnf(281,plain,
v14_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[239,40]),
[iquote('0:MRR:239.1,40.0')] ).
cnf(282,plain,
v15_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[240,40]),
[iquote('0:MRR:240.1,40.0')] ).
cnf(283,plain,
v3_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[241,40]),
[iquote('0:MRR:241.1,40.0')] ).
cnf(284,plain,
v4_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[242,40]),
[iquote('0:MRR:242.1,40.0')] ).
cnf(285,plain,
v5_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[243,40]),
[iquote('0:MRR:243.1,40.0')] ).
cnf(286,plain,
v6_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[244,40]),
[iquote('0:MRR:244.1,40.0')] ).
cnf(287,plain,
v7_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[245,40]),
[iquote('0:MRR:245.1,40.0')] ).
cnf(288,plain,
v8_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[246,40]),
[iquote('0:MRR:246.1,40.0')] ).
cnf(289,plain,
v9_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[247,40]),
[iquote('0:MRR:247.1,40.0')] ).
cnf(290,plain,
v10_lattices(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[248,40]),
[iquote('0:MRR:248.1,40.0')] ).
cnf(291,plain,
v4_lattice3(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[249,40]),
[iquote('0:MRR:249.1,40.0')] ).
cnf(292,plain,
~ v3_conlat_1(k7_conlat_2(skc16)),
inference(mrr,[status(thm)],[233,40]),
[iquote('0:MRR:233.1,40.0')] ).
cnf(293,plain,
~ v3_struct_0(k11_conlat_1(skc16)),
inference(mrr,[status(thm)],[234,40]),
[iquote('0:MRR:234.1,40.0')] ).
cnf(298,plain,
m1_lattice4(k10_conlat_2(skc16),k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))),
inference(mrr,[status(thm)],[230,40]),
[iquote('0:MRR:230.0,40.0')] ).
cnf(299,plain,
v3_lattice4(k10_conlat_2(skc16),k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))),
inference(mrr,[status(thm)],[231,40]),
[iquote('0:MRR:231.0,40.0')] ).
cnf(1017,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ m1_lattice4(k10_conlat_2(skc16),k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| r1_filter_1(k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))) ),
inference(res,[status(thm),theory(equality)],[299,218]),
[iquote('0:Res:299.0,218.4')] ).
cnf(1020,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ m1_lattice4(k10_conlat_2(skc16),k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| r1_filter_1(k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))) ),
inference(ssi,[status(thm)],[1017,62,291,281,280,282,289,288,283,287,286,285,284,290,277,63]),
[iquote('0:SSi:1017.2,62.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.1,63.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.1')] ).
cnf(1021,plain,
( ~ l3_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ v10_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| r1_filter_1(k1_lattice2(k11_conlat_1(skc16)),k11_conlat_1(k7_conlat_2(skc16))) ),
inference(mrr,[status(thm)],[1020,298]),
[iquote('0:MRR:1020.3,298.0')] ).
cnf(1022,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ l3_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16))) ),
inference(mrr,[status(thm)],[276,1021]),
[iquote('0:MRR:276.4,1021.5')] ).
cnf(1023,plain,
( ~ v10_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ l3_lattices(k11_conlat_1(k7_conlat_2(skc16)))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16))) ),
inference(ssi,[status(thm)],[1022,62,291,281,280,282,289,288,283,287,286,285,284,290,277,63]),
[iquote('0:SSi:1022.2,62.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.1,63.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.1')] ).
cnf(1806,plain,
( ~ l2_conlat_1(k7_conlat_2(skc16))
| ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ l2_conlat_1(k7_conlat_2(skc16))
| v3_conlat_1(k7_conlat_2(skc16))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_conlat_1(k7_conlat_2(skc16)) ),
inference(sor,[status(thm)],[1023,113,82]),
[iquote('0:SoR:1023.0,1023.1,113.2,82.2')] ).
cnf(1807,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| ~ l2_conlat_1(k7_conlat_2(skc16))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_conlat_1(k7_conlat_2(skc16)) ),
inference(obv,[status(thm),theory(equality)],[1806]),
[iquote('0:Obv:1806.3')] ).
cnf(1808,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_conlat_1(k7_conlat_2(skc16)) ),
inference(ssi,[status(thm)],[1807,278,279]),
[iquote('0:SSi:1807.1,278.0,279.0')] ).
cnf(1809,plain,
( ~ v10_lattices(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16))) ),
inference(mrr,[status(thm)],[1808,292]),
[iquote('0:MRR:1808.3,292.0')] ).
cnf(1810,plain,
( ~ v10_lattices(k11_conlat_1(skc16))
| ~ l3_lattices(k11_conlat_1(skc16))
| v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(skc16)) ),
inference(sor,[status(thm)],[1809,163]),
[iquote('0:SoR:1809.0,163.3')] ).
cnf(1811,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(skc16)) ),
inference(ssi,[status(thm)],[1810,291,281,280,282,289,288,283,287,286,285,284,290,277]),
[iquote('0:SSi:1810.1,1810.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.0')] ).
cnf(1812,plain,
( v3_struct_0(k1_lattice2(k11_conlat_1(skc16)))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16))) ),
inference(mrr,[status(thm)],[1811,293]),
[iquote('0:MRR:1811.2,293.0')] ).
cnf(1813,plain,
( ~ l3_lattices(k11_conlat_1(skc16))
| v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(skc16)) ),
inference(res,[status(thm),theory(equality)],[1812,123]),
[iquote('0:Res:1812.0,123.1')] ).
cnf(1814,plain,
( v3_struct_0(k11_conlat_1(k7_conlat_2(skc16)))
| v3_struct_0(k11_conlat_1(skc16)) ),
inference(ssi,[status(thm)],[1813,291,281,280,282,289,288,283,287,286,285,284,290,277]),
[iquote('0:SSi:1813.0,291.0,281.0,280.0,282.0,289.0,288.0,283.0,287.0,286.0,285.0,284.0,290.0,277.0')] ).
cnf(1815,plain,
v3_struct_0(k11_conlat_1(k7_conlat_2(skc16))),
inference(mrr,[status(thm)],[1814,293]),
[iquote('0:MRR:1814.1,293.0')] ).
cnf(1816,plain,
( ~ l2_conlat_1(k7_conlat_2(skc16))
| v3_conlat_1(k7_conlat_2(skc16)) ),
inference(res,[status(thm),theory(equality)],[1815,128]),
[iquote('0:Res:1815.0,128.1')] ).
cnf(1817,plain,
v3_conlat_1(k7_conlat_2(skc16)),
inference(ssi,[status(thm)],[1816,278,279]),
[iquote('0:SSi:1816.0,278.0,279.0')] ).
cnf(1818,plain,
$false,
inference(mrr,[status(thm)],[1817,292]),
[iquote('0:MRR:1817.0,292.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 30 10:46:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.48/0.66
% 0.48/0.66 SPASS V 3.9
% 0.48/0.66 SPASS beiseite: Proof found.
% 0.48/0.66 % SZS status Theorem
% 0.48/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.66 SPASS derived 1363 clauses, backtracked 0 clauses, performed 0 splits and kept 871 clauses.
% 0.48/0.66 SPASS allocated 99249 KBytes.
% 0.48/0.66 SPASS spent 0:00:00.31 on the problem.
% 0.48/0.66 0:00:00.04 for the input.
% 0.48/0.66 0:00:00.05 for the FLOTTER CNF translation.
% 0.48/0.66 0:00:00.03 for inferences.
% 0.48/0.66 0:00:00.00 for the backtracking.
% 0.48/0.66 0:00:00.15 for the reduction.
% 0.48/0.66
% 0.48/0.66
% 0.48/0.66 Here is a proof with depth 5, length 85 :
% 0.48/0.66 % SZS output start Refutation
% See solution above
% 0.48/0.67 Formulae used in the proof : t22_conlat_2 dt_k1_lattice2 dt_k11_conlat_1 dt_k7_conlat_2 fc1_conlat_2 fc5_conlat_1 fc1_lattice2 fc6_lattice2 dt_k10_conlat_2 t21_conlat_2 symmetry_r1_filter_1 d5_lattice4
% 0.48/0.67
%------------------------------------------------------------------------------