TSTP Solution File: LAT319+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:50:43 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of clauses : 134 ( 42 unt; 59 nHn; 134 RR)
% Number of literals : 368 ( 0 equ; 184 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc18),
file('LAT319+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc18),
file('LAT319+1.p',unknown),
[] ).
cnf(84,axiom,
~ v3_struct_0(skc18),
file('LAT319+1.p',unknown),
[] ).
cnf(97,axiom,
( skP0(skc18)
| skP0(k1_lattice2(skc18)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ skP0(u)
| v17_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ skP0(skc18)
| ~ skP0(k1_lattice2(skc18)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| v3_struct_0(u)
| v15_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(148,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| v3_struct_0(u)
| v16_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(149,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| v3_struct_0(u)
| v11_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(164,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(165,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| skP0(u)
| v3_struct_0(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ l3_lattices(u)
| ~ v11_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v11_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ l3_lattices(u)
| ~ v11_lattices(u)
| ~ v16_lattices(u)
| ~ v15_lattices(u)
| v3_struct_0(u)
| v17_lattices(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(197,axiom,
( ~ l3_lattices(u)
| ~ v16_lattices(u)
| ~ v15_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v15_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(198,axiom,
( ~ l3_lattices(u)
| ~ v16_lattices(u)
| ~ v15_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v16_lattices(k1_lattice2(u)) ),
file('LAT319+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ l3_lattices(k1_lattice2(u))
| ~ v10_lattices(k1_lattice2(u))
| ~ v11_lattices(k1_lattice2(u))
| v11_lattices(u)
| v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v16_lattices(k1_lattice2(u))
| ~ l3_lattices(k1_lattice2(u))
| ~ v10_lattices(k1_lattice2(u))
| ~ v15_lattices(k1_lattice2(u))
| v16_lattices(u)
| v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v16_lattices(k1_lattice2(u))
| ~ l3_lattices(k1_lattice2(u))
| ~ v10_lattices(k1_lattice2(u))
| ~ v15_lattices(k1_lattice2(u))
| v15_lattices(u)
| v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT319+1.p',unknown),
[] ).
cnf(221,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v11_lattices(k1_lattice2(u))
| v3_struct_0(u)
| v11_lattices(u) ),
inference(mrr,[status(thm)],[209,110,167,126]),
[iquote('0:MRR:209.2,209.3,209.6,110.1,167.2,126.1')] ).
cnf(222,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v15_lattices(k1_lattice2(u))
| ~ v16_lattices(k1_lattice2(u))
| v3_struct_0(u)
| v16_lattices(u) ),
inference(mrr,[status(thm)],[211,110,167,126]),
[iquote('0:MRR:211.3,211.4,211.7,110.1,167.2,126.1')] ).
cnf(223,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v15_lattices(k1_lattice2(u))
| ~ v16_lattices(k1_lattice2(u))
| v3_struct_0(u)
| v15_lattices(u) ),
inference(mrr,[status(thm)],[212,110,167,126]),
[iquote('0:MRR:212.3,212.4,212.7,110.1,167.2,126.1')] ).
cnf(224,plain,
( ~ v10_lattices(skc18)
| ~ v16_lattices(k1_lattice2(skc18))
| ~ v15_lattices(k1_lattice2(skc18))
| v15_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,223]),
[iquote('0:Res:2.0,223.1')] ).
cnf(225,plain,
( ~ v10_lattices(skc18)
| ~ v16_lattices(k1_lattice2(skc18))
| ~ v15_lattices(k1_lattice2(skc18))
| v16_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,222]),
[iquote('0:Res:2.0,222.1')] ).
cnf(227,plain,
( ~ v10_lattices(skc18)
| ~ v11_lattices(k1_lattice2(skc18))
| v11_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,221]),
[iquote('0:Res:2.0,221.1')] ).
cnf(228,plain,
( ~ v10_lattices(skc18)
| ~ v15_lattices(skc18)
| ~ v16_lattices(skc18)
| v15_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,197]),
[iquote('0:Res:2.0,197.3')] ).
cnf(229,plain,
( ~ v10_lattices(skc18)
| ~ v15_lattices(skc18)
| ~ v16_lattices(skc18)
| v16_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,198]),
[iquote('0:Res:2.0,198.3')] ).
cnf(230,plain,
( ~ v15_lattices(skc18)
| ~ v16_lattices(skc18)
| ~ v11_lattices(skc18)
| v17_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,195]),
[iquote('0:Res:2.0,195.3')] ).
cnf(232,plain,
( ~ v10_lattices(skc18)
| ~ v11_lattices(skc18)
| v11_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,190]),
[iquote('0:Res:2.0,190.2')] ).
cnf(233,plain,
( ~ v10_lattices(skc18)
| ~ v17_lattices(skc18)
| v3_struct_0(skc18)
| skP0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,171]),
[iquote('0:Res:2.0,171.2')] ).
cnf(237,plain,
( ~ v10_lattices(skc18)
| v4_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,161]),
[iquote('0:Res:2.0,161.1')] ).
cnf(238,plain,
( ~ v10_lattices(skc18)
| v5_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,162]),
[iquote('0:Res:2.0,162.1')] ).
cnf(239,plain,
( ~ v10_lattices(skc18)
| v6_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,163]),
[iquote('0:Res:2.0,163.1')] ).
cnf(240,plain,
( ~ v10_lattices(skc18)
| v7_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,164]),
[iquote('0:Res:2.0,164.1')] ).
cnf(241,plain,
( ~ v10_lattices(skc18)
| v8_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,165]),
[iquote('0:Res:2.0,165.1')] ).
cnf(242,plain,
( ~ v10_lattices(skc18)
| v9_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,166]),
[iquote('0:Res:2.0,166.1')] ).
cnf(243,plain,
( ~ v10_lattices(skc18)
| v10_lattices(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,167]),
[iquote('0:Res:2.0,167.1')] ).
cnf(244,plain,
( ~ v10_lattices(skc18)
| v4_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,134]),
[iquote('0:Res:2.0,134.0')] ).
cnf(245,plain,
( ~ v10_lattices(skc18)
| v5_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,135]),
[iquote('0:Res:2.0,135.0')] ).
cnf(246,plain,
( ~ v10_lattices(skc18)
| v6_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,136]),
[iquote('0:Res:2.0,136.0')] ).
cnf(247,plain,
( ~ v10_lattices(skc18)
| v7_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,137]),
[iquote('0:Res:2.0,137.0')] ).
cnf(248,plain,
( ~ v10_lattices(skc18)
| v8_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,138]),
[iquote('0:Res:2.0,138.0')] ).
cnf(249,plain,
( ~ v10_lattices(skc18)
| v9_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,139]),
[iquote('0:Res:2.0,139.0')] ).
cnf(254,plain,
( ~ v17_lattices(skc18)
| v15_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,147]),
[iquote('0:Res:2.0,147.1')] ).
cnf(255,plain,
( ~ v17_lattices(skc18)
| v16_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,148]),
[iquote('0:Res:2.0,148.1')] ).
cnf(256,plain,
( ~ v17_lattices(skc18)
| v11_lattices(skc18)
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,149]),
[iquote('0:Res:2.0,149.1')] ).
cnf(257,plain,
( ~ v3_struct_0(k1_lattice2(skc18))
| v3_struct_0(skc18) ),
inference(res,[status(thm),theory(equality)],[2,126]),
[iquote('0:Res:2.0,126.0')] ).
cnf(258,plain,
v3_lattices(k1_lattice2(skc18)),
inference(res,[status(thm),theory(equality)],[2,109]),
[iquote('0:Res:2.0,109.0')] ).
cnf(259,plain,
l3_lattices(k1_lattice2(skc18)),
inference(res,[status(thm),theory(equality)],[2,110]),
[iquote('0:Res:2.0,110.0')] ).
cnf(260,plain,
l1_lattices(skc18),
inference(res,[status(thm),theory(equality)],[2,104]),
[iquote('0:Res:2.0,104.0')] ).
cnf(261,plain,
l2_lattices(skc18),
inference(res,[status(thm),theory(equality)],[2,105]),
[iquote('0:Res:2.0,105.0')] ).
cnf(353,plain,
~ v3_struct_0(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[257,84]),
[iquote('0:MRR:257.1,84.0')] ).
cnf(354,plain,
v4_lattices(skc18),
inference(mrr,[status(thm)],[244,1,84]),
[iquote('0:MRR:244.0,244.2,1.0,84.0')] ).
cnf(355,plain,
v5_lattices(skc18),
inference(mrr,[status(thm)],[245,1,84]),
[iquote('0:MRR:245.0,245.2,1.0,84.0')] ).
cnf(356,plain,
v6_lattices(skc18),
inference(mrr,[status(thm)],[246,1,84]),
[iquote('0:MRR:246.0,246.2,1.0,84.0')] ).
cnf(357,plain,
v7_lattices(skc18),
inference(mrr,[status(thm)],[247,1,84]),
[iquote('0:MRR:247.0,247.2,1.0,84.0')] ).
cnf(358,plain,
v8_lattices(skc18),
inference(mrr,[status(thm)],[248,1,84]),
[iquote('0:MRR:248.0,248.2,1.0,84.0')] ).
cnf(359,plain,
v9_lattices(skc18),
inference(mrr,[status(thm)],[249,1,84]),
[iquote('0:MRR:249.0,249.2,1.0,84.0')] ).
cnf(364,plain,
( ~ v17_lattices(skc18)
| v15_lattices(skc18) ),
inference(mrr,[status(thm)],[254,84]),
[iquote('0:MRR:254.2,84.0')] ).
cnf(365,plain,
( ~ v17_lattices(skc18)
| v16_lattices(skc18) ),
inference(mrr,[status(thm)],[255,84]),
[iquote('0:MRR:255.2,84.0')] ).
cnf(366,plain,
( ~ v17_lattices(skc18)
| v11_lattices(skc18) ),
inference(mrr,[status(thm)],[256,84]),
[iquote('0:MRR:256.2,84.0')] ).
cnf(367,plain,
v4_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[237,1,84]),
[iquote('0:MRR:237.0,237.2,1.0,84.0')] ).
cnf(368,plain,
v5_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[238,1,84]),
[iquote('0:MRR:238.0,238.2,1.0,84.0')] ).
cnf(369,plain,
v6_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[239,1,84]),
[iquote('0:MRR:239.0,239.2,1.0,84.0')] ).
cnf(370,plain,
v7_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[240,1,84]),
[iquote('0:MRR:240.0,240.2,1.0,84.0')] ).
cnf(371,plain,
v8_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[241,1,84]),
[iquote('0:MRR:241.0,241.2,1.0,84.0')] ).
cnf(372,plain,
v9_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[242,1,84]),
[iquote('0:MRR:242.0,242.2,1.0,84.0')] ).
cnf(373,plain,
v10_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[243,1,84]),
[iquote('0:MRR:243.0,243.2,1.0,84.0')] ).
cnf(376,plain,
( ~ v17_lattices(skc18)
| skP0(skc18) ),
inference(mrr,[status(thm)],[233,1,84]),
[iquote('0:MRR:233.0,233.2,1.0,84.0')] ).
cnf(385,plain,
( ~ v11_lattices(k1_lattice2(skc18))
| v11_lattices(skc18) ),
inference(mrr,[status(thm)],[227,1,84]),
[iquote('0:MRR:227.0,227.3,1.0,84.0')] ).
cnf(386,plain,
( ~ v11_lattices(skc18)
| v11_lattices(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[232,1,84]),
[iquote('0:MRR:232.0,232.3,1.0,84.0')] ).
cnf(391,plain,
( ~ v11_lattices(skc18)
| ~ v16_lattices(skc18)
| ~ v15_lattices(skc18)
| v17_lattices(skc18) ),
inference(mrr,[status(thm)],[230,84]),
[iquote('0:MRR:230.4,84.0')] ).
cnf(392,plain,
( ~ v16_lattices(skc18)
| ~ v15_lattices(skc18)
| v15_lattices(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[228,1,84]),
[iquote('0:MRR:228.0,228.4,1.0,84.0')] ).
cnf(393,plain,
( ~ v16_lattices(skc18)
| ~ v15_lattices(skc18)
| v16_lattices(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[229,1,84]),
[iquote('0:MRR:229.0,229.4,1.0,84.0')] ).
cnf(394,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| ~ v16_lattices(k1_lattice2(skc18))
| v15_lattices(skc18) ),
inference(mrr,[status(thm)],[224,1,84]),
[iquote('0:MRR:224.0,224.4,1.0,84.0')] ).
cnf(395,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| ~ v16_lattices(k1_lattice2(skc18))
| v16_lattices(skc18) ),
inference(mrr,[status(thm)],[225,1,84]),
[iquote('0:MRR:225.0,225.4,1.0,84.0')] ).
cnf(406,plain,
( ~ v17_lattices(k1_lattice2(skc18))
| ~ l3_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18))
| skP0(k1_lattice2(skc18)) ),
inference(res,[status(thm),theory(equality)],[373,171]),
[iquote('0:Res:373.0,171.0')] ).
cnf(411,plain,
( ~ v17_lattices(k1_lattice2(skc18))
| skP0(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[406,259,353]),
[iquote('0:MRR:406.1,406.2,259.0,353.0')] ).
cnf(412,plain,
skP0(skc18),
inference(spt,[spt(split,[position(s1)])],[97]),
[iquote('1:Spt:97.0')] ).
cnf(413,plain,
~ skP0(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[118,412]),
[iquote('1:MRR:118.0,412.0')] ).
cnf(414,plain,
~ v17_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[411,413]),
[iquote('1:MRR:411.1,413.0')] ).
cnf(416,plain,
( ~ skP0(skc18)
| v15_lattices(skc18) ),
inference(sor,[status(thm)],[364,99]),
[iquote('0:SoR:364.0,99.1')] ).
cnf(417,plain,
( ~ skP0(skc18)
| v16_lattices(skc18) ),
inference(sor,[status(thm)],[365,99]),
[iquote('0:SoR:365.0,99.1')] ).
cnf(418,plain,
( ~ skP0(skc18)
| v11_lattices(skc18) ),
inference(sor,[status(thm)],[366,99]),
[iquote('0:SoR:366.0,99.1')] ).
cnf(425,plain,
v15_lattices(skc18),
inference(ssi,[status(thm)],[416,412,1,2,359,358,357,356,355,354,261,260]),
[iquote('1:SSi:416.0,412.0,1.0,2.0,359.0,358.0,357.0,356.0,355.0,354.0,261.0,260.0')] ).
cnf(428,plain,
( ~ v16_lattices(skc18)
| v16_lattices(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[393,425]),
[iquote('1:MRR:393.1,425.0')] ).
cnf(429,plain,
( ~ v16_lattices(skc18)
| v15_lattices(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[392,425]),
[iquote('1:MRR:392.1,425.0')] ).
cnf(431,plain,
v16_lattices(skc18),
inference(ssi,[status(thm)],[417,412,1,2,359,358,357,356,355,354,261,260]),
[iquote('1:SSi:417.0,412.0,1.0,2.0,359.0,358.0,357.0,356.0,355.0,354.0,261.0,260.0')] ).
cnf(432,plain,
v11_lattices(skc18),
inference(ssi,[status(thm)],[418,412,1,2,359,358,357,356,355,354,261,260]),
[iquote('1:SSi:418.0,412.0,1.0,2.0,359.0,358.0,357.0,356.0,355.0,354.0,261.0,260.0')] ).
cnf(434,plain,
v11_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[386,432]),
[iquote('1:MRR:386.0,432.0')] ).
cnf(435,plain,
v16_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[428,431]),
[iquote('1:MRR:428.0,431.0')] ).
cnf(436,plain,
v15_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[429,431]),
[iquote('1:MRR:429.0,431.0')] ).
cnf(789,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| ~ v16_lattices(k1_lattice2(skc18))
| ~ v11_lattices(k1_lattice2(skc18))
| ~ l3_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18)) ),
inference(sor,[status(thm)],[414,195]),
[iquote('1:SoR:414.0,195.5')] ).
cnf(806,plain,
v3_struct_0(k1_lattice2(skc18)),
inference(ssi,[status(thm)],[789,372,371,258,370,369,368,367,373,259,434,435,436]),
[iquote('1:SSi:789.3,789.2,789.1,789.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,434.0,435.0,436.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,434.0,435.0,436.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,434.0,435.0,436.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,434.0,435.0,436.0')] ).
cnf(807,plain,
$false,
inference(mrr,[status(thm)],[806,353]),
[iquote('1:MRR:806.0,353.0')] ).
cnf(808,plain,
~ skP0(skc18),
inference(spt,[spt(split,[position(sa)])],[807,412]),
[iquote('1:Spt:807.0,97.0,412.0')] ).
cnf(809,plain,
skP0(k1_lattice2(skc18)),
inference(spt,[spt(split,[position(s2)])],[97]),
[iquote('1:Spt:807.0,97.1')] ).
cnf(810,plain,
~ v17_lattices(skc18),
inference(mrr,[status(thm)],[376,808]),
[iquote('1:MRR:376.1,808.0')] ).
cnf(813,plain,
( ~ v11_lattices(skc18)
| ~ v16_lattices(skc18)
| ~ v15_lattices(skc18) ),
inference(mrr,[status(thm)],[391,810]),
[iquote('1:MRR:391.3,810.0')] ).
cnf(825,plain,
( ~ l3_lattices(k1_lattice2(skc18))
| ~ v17_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18))
| v11_lattices(skc18) ),
inference(res,[status(thm),theory(equality)],[149,385]),
[iquote('0:Res:149.3,385.0')] ).
cnf(826,plain,
( v3_struct_0(k1_lattice2(skc18))
| v11_lattices(skc18) ),
inference(ssi,[status(thm)],[825,99,372,371,258,370,369,368,367,373,259,809]),
[iquote('1:SSi:825.1,825.0,99.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.1')] ).
cnf(827,plain,
v11_lattices(skc18),
inference(mrr,[status(thm)],[826,353]),
[iquote('1:MRR:826.0,353.0')] ).
cnf(829,plain,
v11_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[386,827]),
[iquote('1:MRR:386.0,827.0')] ).
cnf(830,plain,
( ~ v16_lattices(skc18)
| ~ v15_lattices(skc18) ),
inference(mrr,[status(thm)],[813,827]),
[iquote('1:MRR:813.0,827.0')] ).
cnf(866,plain,
( ~ l3_lattices(k1_lattice2(skc18))
| ~ v17_lattices(k1_lattice2(skc18))
| ~ v15_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18))
| v15_lattices(skc18) ),
inference(res,[status(thm),theory(equality)],[148,394]),
[iquote('0:Res:148.3,394.1')] ).
cnf(868,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18))
| v15_lattices(skc18) ),
inference(ssi,[status(thm)],[866,99,372,371,258,370,369,368,367,373,259,809,829]),
[iquote('1:SSi:866.1,866.0,99.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.1')] ).
cnf(869,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| v15_lattices(skc18) ),
inference(mrr,[status(thm)],[868,353]),
[iquote('1:MRR:868.1,353.0')] ).
cnf(871,plain,
( ~ l3_lattices(k1_lattice2(skc18))
| ~ v17_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18))
| v15_lattices(skc18) ),
inference(res,[status(thm),theory(equality)],[147,869]),
[iquote('1:Res:147.3,869.0')] ).
cnf(873,plain,
( v3_struct_0(k1_lattice2(skc18))
| v15_lattices(skc18) ),
inference(ssi,[status(thm)],[871,99,372,371,258,370,369,368,367,373,259,809,829]),
[iquote('1:SSi:871.1,871.0,99.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.1')] ).
cnf(874,plain,
v15_lattices(skc18),
inference(mrr,[status(thm)],[873,353]),
[iquote('1:MRR:873.0,353.0')] ).
cnf(877,plain,
~ v16_lattices(skc18),
inference(mrr,[status(thm)],[830,874]),
[iquote('1:MRR:830.1,874.0')] ).
cnf(878,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| ~ v16_lattices(k1_lattice2(skc18)) ),
inference(mrr,[status(thm)],[395,877]),
[iquote('1:MRR:395.2,877.0')] ).
cnf(880,plain,
( ~ l3_lattices(k1_lattice2(skc18))
| ~ v17_lattices(k1_lattice2(skc18))
| ~ v15_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18)) ),
inference(res,[status(thm),theory(equality)],[148,878]),
[iquote('1:Res:148.3,878.1')] ).
cnf(882,plain,
( ~ v15_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18)) ),
inference(ssi,[status(thm)],[880,99,372,371,258,370,369,368,367,373,259,809,829]),
[iquote('1:SSi:880.1,880.0,99.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.1')] ).
cnf(883,plain,
~ v15_lattices(k1_lattice2(skc18)),
inference(mrr,[status(thm)],[882,353]),
[iquote('1:MRR:882.1,353.0')] ).
cnf(885,plain,
( ~ l3_lattices(k1_lattice2(skc18))
| ~ v17_lattices(k1_lattice2(skc18))
| v3_struct_0(k1_lattice2(skc18)) ),
inference(res,[status(thm),theory(equality)],[147,883]),
[iquote('1:Res:147.3,883.0')] ).
cnf(887,plain,
v3_struct_0(k1_lattice2(skc18)),
inference(ssi,[status(thm)],[885,99,372,371,258,370,369,368,367,373,259,809,829]),
[iquote('1:SSi:885.1,885.0,99.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.0,372.0,371.0,258.0,370.0,369.0,368.0,367.0,373.0,259.0,809.0,829.1')] ).
cnf(888,plain,
$false,
inference(mrr,[status(thm)],[887,353]),
[iquote('1:MRR:887.0,353.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 30 01:59:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 531 clauses, backtracked 32 clauses, performed 1 splits and kept 471 clauses.
% 0.19/0.52 SPASS allocated 98352 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.52 0:00:00.04 for the input.
% 0.19/0.52 0:00:00.05 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.01 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.03 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 3, length 134 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : t54_filter_2 dt_l3_lattices dt_k1_lattice2 fc1_lattice2 cc1_lattices d20_lattices fc6_lattice2 t65_lattice2 t53_filter_2
% 0.19/0.52
%------------------------------------------------------------------------------