TSTP Solution File: LAT302+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT302+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 06:50:25 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 35
% Syntax : Number of clauses : 100 ( 36 unt; 47 nHn; 100 RR)
% Number of literals : 243 ( 0 equ; 105 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc17),
file('LAT302+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc17),
file('LAT302+1.p',unknown),
[] ).
cnf(3,axiom,
v13_lattices(skc17),
file('LAT302+1.p',unknown),
[] ).
cnf(45,axiom,
~ v3_struct_0(skc17),
file('LAT302+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ l2_lattices(u)
| l1_struct_0(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(82,axiom,
~ m2_filter_2(k6_domain_1(u1_struct_0(skc17),k5_lattices(skc17)),skc17),
file('LAT302+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('LAT302+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ l1_lattices(u)
| v3_struct_0(u)
| m1_subset_1(k5_lattices(u),u1_struct_0(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ l2_lattices(u)
| v3_struct_0(u)
| m1_subset_1(k6_lattices(u),u1_struct_0(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| equal(k6_domain_1(v,u),k1_tarski(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v13_lattices(u)
| v3_struct_0(u)
| v14_lattices(k1_lattice2(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| v3_struct_0(u)
| m1_filter_2(v,u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_2(v,k1_lattice2(u))
| v3_struct_0(u)
| m2_filter_2(v,u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ l3_lattices(u)
| ~ v13_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k6_lattices(k1_lattice2(u)),k5_lattices(u)) ),
file('LAT302+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ v14_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_filter_0(k6_domain_1(u1_struct_0(u),k6_lattices(u)),u) ),
file('LAT302+1.p',unknown),
[] ).
cnf(178,plain,
( ~ v10_lattices(skc17)
| ~ l3_lattices(skc17)
| v3_struct_0(skc17)
| equal(k6_lattices(k1_lattice2(skc17)),k5_lattices(skc17)) ),
inference(res,[status(thm),theory(equality)],[3,158]),
[iquote('0:Res:3.0,158.1')] ).
cnf(179,plain,
( ~ v10_lattices(skc17)
| ~ l3_lattices(skc17)
| v14_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[3,144]),
[iquote('0:Res:3.0,144.0')] ).
cnf(187,plain,
( ~ v10_lattices(skc17)
| ~ m1_filter_2(u,k1_lattice2(skc17))
| m2_filter_2(u,skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,155]),
[iquote('0:Res:2.0,155.1')] ).
cnf(202,plain,
( ~ v10_lattices(skc17)
| v4_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,117]),
[iquote('0:Res:2.0,117.1')] ).
cnf(203,plain,
( ~ v10_lattices(skc17)
| v5_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,118]),
[iquote('0:Res:2.0,118.1')] ).
cnf(204,plain,
( ~ v10_lattices(skc17)
| v6_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,119]),
[iquote('0:Res:2.0,119.1')] ).
cnf(205,plain,
( ~ v10_lattices(skc17)
| v7_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,120]),
[iquote('0:Res:2.0,120.1')] ).
cnf(206,plain,
( ~ v10_lattices(skc17)
| v8_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,121]),
[iquote('0:Res:2.0,121.1')] ).
cnf(207,plain,
( ~ v10_lattices(skc17)
| v9_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,122]),
[iquote('0:Res:2.0,122.1')] ).
cnf(208,plain,
( ~ v10_lattices(skc17)
| v10_lattices(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,123]),
[iquote('0:Res:2.0,123.1')] ).
cnf(209,plain,
( ~ v10_lattices(skc17)
| v4_lattices(skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,96]),
[iquote('0:Res:2.0,96.0')] ).
cnf(210,plain,
( ~ v10_lattices(skc17)
| v5_lattices(skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,97]),
[iquote('0:Res:2.0,97.0')] ).
cnf(211,plain,
( ~ v10_lattices(skc17)
| v6_lattices(skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,98]),
[iquote('0:Res:2.0,98.0')] ).
cnf(212,plain,
( ~ v10_lattices(skc17)
| v7_lattices(skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,99]),
[iquote('0:Res:2.0,99.0')] ).
cnf(213,plain,
( ~ v10_lattices(skc17)
| v8_lattices(skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,100]),
[iquote('0:Res:2.0,100.0')] ).
cnf(214,plain,
( ~ v10_lattices(skc17)
| v9_lattices(skc17)
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,101]),
[iquote('0:Res:2.0,101.0')] ).
cnf(217,plain,
( ~ v3_struct_0(k1_lattice2(skc17))
| v3_struct_0(skc17) ),
inference(res,[status(thm),theory(equality)],[2,88]),
[iquote('0:Res:2.0,88.0')] ).
cnf(218,plain,
v3_lattices(k1_lattice2(skc17)),
inference(res,[status(thm),theory(equality)],[2,71]),
[iquote('0:Res:2.0,71.0')] ).
cnf(219,plain,
l3_lattices(k1_lattice2(skc17)),
inference(res,[status(thm),theory(equality)],[2,72]),
[iquote('0:Res:2.0,72.0')] ).
cnf(220,plain,
l1_lattices(skc17),
inference(res,[status(thm),theory(equality)],[2,67]),
[iquote('0:Res:2.0,67.0')] ).
cnf(221,plain,
l2_lattices(skc17),
inference(res,[status(thm),theory(equality)],[2,68]),
[iquote('0:Res:2.0,68.0')] ).
cnf(304,plain,
( ~ l1_lattices(skc17)
| m1_subset_1(k5_lattices(skc17),u1_struct_0(skc17)) ),
inference(res,[status(thm),theory(equality)],[104,45]),
[iquote('0:Res:104.1,45.0')] ).
cnf(305,plain,
( ~ l2_lattices(skc17)
| m1_subset_1(k6_lattices(skc17),u1_struct_0(skc17)) ),
inference(res,[status(thm),theory(equality)],[105,45]),
[iquote('0:Res:105.1,45.0')] ).
cnf(307,plain,
( ~ l1_struct_0(skc17)
| ~ v1_xboole_0(u1_struct_0(skc17)) ),
inference(res,[status(thm),theory(equality)],[89,45]),
[iquote('0:Res:89.2,45.0')] ).
cnf(313,plain,
~ v3_struct_0(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[217,45]),
[iquote('0:MRR:217.1,45.0')] ).
cnf(314,plain,
v4_lattices(skc17),
inference(mrr,[status(thm)],[209,1,45]),
[iquote('0:MRR:209.0,209.2,1.0,45.0')] ).
cnf(315,plain,
v5_lattices(skc17),
inference(mrr,[status(thm)],[210,1,45]),
[iquote('0:MRR:210.0,210.2,1.0,45.0')] ).
cnf(316,plain,
v6_lattices(skc17),
inference(mrr,[status(thm)],[211,1,45]),
[iquote('0:MRR:211.0,211.2,1.0,45.0')] ).
cnf(317,plain,
v7_lattices(skc17),
inference(mrr,[status(thm)],[212,1,45]),
[iquote('0:MRR:212.0,212.2,1.0,45.0')] ).
cnf(318,plain,
v8_lattices(skc17),
inference(mrr,[status(thm)],[213,1,45]),
[iquote('0:MRR:213.0,213.2,1.0,45.0')] ).
cnf(319,plain,
v9_lattices(skc17),
inference(mrr,[status(thm)],[214,1,45]),
[iquote('0:MRR:214.0,214.2,1.0,45.0')] ).
cnf(321,plain,
v4_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[202,1,45]),
[iquote('0:MRR:202.0,202.2,1.0,45.0')] ).
cnf(322,plain,
v5_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[203,1,45]),
[iquote('0:MRR:203.0,203.2,1.0,45.0')] ).
cnf(323,plain,
v6_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[204,1,45]),
[iquote('0:MRR:204.0,204.2,1.0,45.0')] ).
cnf(324,plain,
v7_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[205,1,45]),
[iquote('0:MRR:205.0,205.2,1.0,45.0')] ).
cnf(325,plain,
v8_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[206,1,45]),
[iquote('0:MRR:206.0,206.2,1.0,45.0')] ).
cnf(326,plain,
v9_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[207,1,45]),
[iquote('0:MRR:207.0,207.2,1.0,45.0')] ).
cnf(327,plain,
v10_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[208,1,45]),
[iquote('0:MRR:208.0,208.2,1.0,45.0')] ).
cnf(328,plain,
m1_subset_1(k5_lattices(skc17),u1_struct_0(skc17)),
inference(mrr,[status(thm)],[304,220]),
[iquote('0:MRR:304.0,220.0')] ).
cnf(329,plain,
m1_subset_1(k6_lattices(skc17),u1_struct_0(skc17)),
inference(mrr,[status(thm)],[305,221]),
[iquote('0:MRR:305.0,221.0')] ).
cnf(338,plain,
v14_lattices(k1_lattice2(skc17)),
inference(mrr,[status(thm)],[179,1,2,45]),
[iquote('0:MRR:179.0,179.1,179.3,1.0,2.0,45.0')] ).
cnf(351,plain,
( ~ m1_filter_2(u,k1_lattice2(skc17))
| m2_filter_2(u,skc17) ),
inference(mrr,[status(thm)],[187,1,45]),
[iquote('0:MRR:187.0,187.3,1.0,45.0')] ).
cnf(352,plain,
equal(k6_lattices(k1_lattice2(skc17)),k5_lattices(skc17)),
inference(mrr,[status(thm)],[178,1,2,45]),
[iquote('0:MRR:178.0,178.1,178.2,1.0,2.0,45.0')] ).
cnf(378,plain,
( ~ l2_lattices(skc17)
| ~ v1_xboole_0(u1_struct_0(skc17)) ),
inference(sor,[status(thm)],[307,66]),
[iquote('0:SoR:307.0,66.1')] ).
cnf(380,plain,
~ v1_xboole_0(u1_struct_0(skc17)),
inference(ssi,[status(thm)],[378,3,1,2,319,318,317,316,315,314,221,220]),
[iquote('0:SSi:378.0,3.0,1.0,2.0,319.0,318.0,317.0,316.0,315.0,314.0,221.0,220.0')] ).
cnf(415,plain,
( v1_xboole_0(u1_struct_0(skc17))
| r2_hidden(k6_lattices(skc17),u1_struct_0(skc17)) ),
inference(res,[status(thm),theory(equality)],[329,94]),
[iquote('0:Res:329.0,94.0')] ).
cnf(420,plain,
r2_hidden(k6_lattices(skc17),u1_struct_0(skc17)),
inference(mrr,[status(thm)],[415,380]),
[iquote('0:MRR:415.0,380.0')] ).
cnf(429,plain,
~ v1_xboole_0(u1_struct_0(skc17)),
inference(res,[status(thm),theory(equality)],[420,81]),
[iquote('0:Res:420.0,81.1')] ).
cnf(444,plain,
( ~ l2_lattices(k1_lattice2(skc17))
| v3_struct_0(k1_lattice2(skc17))
| m1_subset_1(k5_lattices(skc17),u1_struct_0(k1_lattice2(skc17))) ),
inference(spr,[status(thm),theory(equality)],[352,105]),
[iquote('0:SpR:352.0,105.2')] ).
cnf(446,plain,
( v3_struct_0(k1_lattice2(skc17))
| m1_subset_1(k5_lattices(skc17),u1_struct_0(k1_lattice2(skc17))) ),
inference(ssi,[status(thm)],[444,68,326,325,218,338,324,323,322,321,327,219]),
[iquote('0:SSi:444.0,68.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.0,219.1')] ).
cnf(447,plain,
m1_subset_1(k5_lattices(skc17),u1_struct_0(k1_lattice2(skc17))),
inference(mrr,[status(thm)],[446,313]),
[iquote('0:MRR:446.0,313.0')] ).
cnf(552,plain,
( ~ m1_subset_1(k5_lattices(skc17),u1_struct_0(skc17))
| ~ m2_filter_2(k1_tarski(k5_lattices(skc17)),skc17)
| v1_xboole_0(u1_struct_0(skc17)) ),
inference(spl,[status(thm),theory(equality)],[131,82]),
[iquote('0:SpL:131.2,82.0')] ).
cnf(554,plain,
~ m2_filter_2(k1_tarski(k5_lattices(skc17)),skc17),
inference(mrr,[status(thm)],[552,328,429]),
[iquote('0:MRR:552.0,552.2,328.0,429.0')] ).
cnf(938,plain,
( ~ l3_lattices(k1_lattice2(skc17))
| ~ v10_lattices(k1_lattice2(skc17))
| ~ m1_filter_0(u,k1_lattice2(skc17))
| v3_struct_0(k1_lattice2(skc17))
| m2_filter_2(u,skc17) ),
inference(res,[status(thm),theory(equality)],[153,351]),
[iquote('0:Res:153.4,351.0')] ).
cnf(945,plain,
( ~ m1_filter_0(u,k1_lattice2(skc17))
| v3_struct_0(k1_lattice2(skc17))
| m2_filter_2(u,skc17) ),
inference(ssi,[status(thm)],[938,326,325,218,338,324,323,322,321,327,219]),
[iquote('0:SSi:938.1,938.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.0,219.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.0,219.0')] ).
cnf(946,plain,
( ~ m1_filter_0(u,k1_lattice2(skc17))
| m2_filter_2(u,skc17) ),
inference(mrr,[status(thm)],[945,313]),
[iquote('0:MRR:945.1,313.0')] ).
cnf(1154,plain,
( ~ v14_lattices(k1_lattice2(skc17))
| ~ l3_lattices(k1_lattice2(skc17))
| ~ v10_lattices(k1_lattice2(skc17))
| v3_struct_0(k1_lattice2(skc17))
| m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(skc17)),k6_lattices(k1_lattice2(skc17))),skc17) ),
inference(res,[status(thm),theory(equality)],[167,946]),
[iquote('0:Res:167.4,946.0')] ).
cnf(1159,plain,
( ~ v14_lattices(k1_lattice2(skc17))
| ~ l3_lattices(k1_lattice2(skc17))
| ~ v10_lattices(k1_lattice2(skc17))
| v3_struct_0(k1_lattice2(skc17))
| m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(skc17)),k5_lattices(skc17)),skc17) ),
inference(rew,[status(thm),theory(equality)],[352,1154]),
[iquote('0:Rew:352.0,1154.4')] ).
cnf(1160,plain,
( v3_struct_0(k1_lattice2(skc17))
| m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(skc17)),k5_lattices(skc17)),skc17) ),
inference(ssi,[status(thm)],[1159,326,325,218,338,324,323,322,321,327,219]),
[iquote('0:SSi:1159.2,1159.1,1159.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.0,219.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.0,219.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.0,219.0')] ).
cnf(1161,plain,
m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(skc17)),k5_lattices(skc17)),skc17),
inference(mrr,[status(thm)],[1160,313]),
[iquote('0:MRR:1160.0,313.0')] ).
cnf(1167,plain,
( ~ m1_subset_1(k5_lattices(skc17),u1_struct_0(k1_lattice2(skc17)))
| v1_xboole_0(u1_struct_0(k1_lattice2(skc17)))
| m2_filter_2(k1_tarski(k5_lattices(skc17)),skc17) ),
inference(spr,[status(thm),theory(equality)],[131,1161]),
[iquote('0:SpR:131.2,1161.0')] ).
cnf(1170,plain,
v1_xboole_0(u1_struct_0(k1_lattice2(skc17))),
inference(mrr,[status(thm)],[1167,447,554]),
[iquote('0:MRR:1167.0,1167.2,447.0,554.0')] ).
cnf(1176,plain,
( ~ l1_struct_0(k1_lattice2(skc17))
| v3_struct_0(k1_lattice2(skc17)) ),
inference(res,[status(thm),theory(equality)],[1170,89]),
[iquote('0:Res:1170.0,89.1')] ).
cnf(1181,plain,
v3_struct_0(k1_lattice2(skc17)),
inference(ssi,[status(thm)],[1176,68,66,326,325,218,338,324,323,322,321,327,219]),
[iquote('0:SSi:1176.0,68.0,66.0,326.0,325.0,218.0,338.0,324.0,323.0,322.0,321.0,327.1,219.1')] ).
cnf(1182,plain,
$false,
inference(mrr,[status(thm)],[1181,313]),
[iquote('0:MRR:1181.0,313.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT302+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 03:51:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55
% 0.20/0.55 SPASS V 3.9
% 0.20/0.55 SPASS beiseite: Proof found.
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 SPASS derived 832 clauses, backtracked 0 clauses, performed 0 splits and kept 579 clauses.
% 0.20/0.55 SPASS allocated 98601 KBytes.
% 0.20/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.20/0.55 0:00:00.04 for the input.
% 0.20/0.55 0:00:00.04 for the FLOTTER CNF translation.
% 0.20/0.55 0:00:00.01 for inferences.
% 0.20/0.55 0:00:00.00 for the backtracking.
% 0.20/0.55 0:00:00.06 for the reduction.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Here is a proof with depth 5, length 100 :
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.57 Formulae used in the proof : t26_filter_2 dt_l2_lattices dt_l3_lattices dt_k1_lattice2 t7_boole fc1_lattice2 fc1_struct_0 t2_subset cc1_lattices dt_k5_lattices dt_k6_lattices fc6_lattice2 redefinition_k6_domain_1 t63_lattice2 redefinition_m1_filter_2 t21_filter_2 t78_lattice2 t13_filter_0
% 0.39/0.57
%------------------------------------------------------------------------------