TSTP Solution File: LAT304+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT304+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:50:27 EDT 2022
% Result : Theorem 1.44s 1.66s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 39
% Syntax : Number of clauses : 98 ( 27 unt; 34 nHn; 98 RR)
% Number of literals : 281 ( 0 equ; 152 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc14),
file('LAT304+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc14),
file('LAT304+1.p',unknown),
[] ).
cnf(31,axiom,
~ v3_struct_0(skc14),
file('LAT304+1.p',unknown),
[] ).
cnf(41,axiom,
~ m2_filter_2(u1_struct_0(skc14),skc14),
file('LAT304+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ l3_lattices(u)
| v3_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ l3_lattices(u)
| l3_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ l1_lattices(u)
| v1_funct_1(u1_lattices(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ l2_lattices(u)
| v1_funct_1(u2_lattices(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l3_lattices(u)
| ~ v3_struct_0(k1_lattice2(u))
| v3_struct_0(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('LAT304+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('LAT304+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v4_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v5_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v6_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v7_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v8_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v9_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| v10_lattices(k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m1_filter_0(u1_struct_0(u),u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ l3_lattices(u)
| equal(g3_lattices(u1_struct_0(u),u1_lattices(u),u2_lattices(u)),k1_lattice2(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ l1_lattices(u)
| v1_funct_2(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ l1_lattices(u)
| m2_relset_1(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l2_lattices(u)
| v1_funct_2(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l2_lattices(u)
| m2_relset_1(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| equal(g3_lattices(u1_struct_0(u),u2_lattices(u),u1_lattices(u)),u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| v3_struct_0(u)
| m1_filter_2(v,u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_2(v,k1_lattice2(u))
| v3_struct_0(u)
| m2_filter_2(v,u) ),
file('LAT304+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| l3_lattices(g3_lattices(w,v,u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| v3_lattices(g3_lattices(w,v,u)) ),
file('LAT304+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ equal(g3_lattices(w,v,u),g3_lattices(x,y,z))
| ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| equal(w,x) ),
file('LAT304+1.p',unknown),
[] ).
cnf(148,plain,
( ~ v10_lattices(skc14)
| ~ m1_filter_2(u,k1_lattice2(skc14))
| m2_filter_2(u,skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,124]),
[iquote('0:Res:2.0,124.1')] ).
cnf(154,plain,
equal(g3_lattices(u1_struct_0(skc14),u1_lattices(skc14),u2_lattices(skc14)),k1_lattice2(skc14)),
inference(res,[status(thm),theory(equality)],[2,106]),
[iquote('0:Res:2.0,106.0')] ).
cnf(161,plain,
( ~ v10_lattices(skc14)
| v4_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,90]),
[iquote('0:Res:2.0,90.1')] ).
cnf(162,plain,
( ~ v10_lattices(skc14)
| v5_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,91]),
[iquote('0:Res:2.0,91.1')] ).
cnf(163,plain,
( ~ v10_lattices(skc14)
| v6_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,92]),
[iquote('0:Res:2.0,92.1')] ).
cnf(164,plain,
( ~ v10_lattices(skc14)
| v7_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,93]),
[iquote('0:Res:2.0,93.1')] ).
cnf(165,plain,
( ~ v10_lattices(skc14)
| v8_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,94]),
[iquote('0:Res:2.0,94.1')] ).
cnf(166,plain,
( ~ v10_lattices(skc14)
| v9_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,95]),
[iquote('0:Res:2.0,95.1')] ).
cnf(167,plain,
( ~ v10_lattices(skc14)
| v10_lattices(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,96]),
[iquote('0:Res:2.0,96.1')] ).
cnf(168,plain,
( ~ v10_lattices(skc14)
| v4_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,73]),
[iquote('0:Res:2.0,73.0')] ).
cnf(169,plain,
( ~ v10_lattices(skc14)
| v5_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,74]),
[iquote('0:Res:2.0,74.0')] ).
cnf(170,plain,
( ~ v10_lattices(skc14)
| v6_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,75]),
[iquote('0:Res:2.0,75.0')] ).
cnf(171,plain,
( ~ v10_lattices(skc14)
| v7_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,76]),
[iquote('0:Res:2.0,76.0')] ).
cnf(172,plain,
( ~ v10_lattices(skc14)
| v8_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,77]),
[iquote('0:Res:2.0,77.0')] ).
cnf(173,plain,
( ~ v10_lattices(skc14)
| v9_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,78]),
[iquote('0:Res:2.0,78.0')] ).
cnf(174,plain,
( ~ v3_struct_0(k1_lattice2(skc14))
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,65]),
[iquote('0:Res:2.0,65.0')] ).
cnf(175,plain,
v3_lattices(k1_lattice2(skc14)),
inference(res,[status(thm),theory(equality)],[2,49]),
[iquote('0:Res:2.0,49.0')] ).
cnf(176,plain,
l3_lattices(k1_lattice2(skc14)),
inference(res,[status(thm),theory(equality)],[2,50]),
[iquote('0:Res:2.0,50.0')] ).
cnf(177,plain,
l1_lattices(skc14),
inference(res,[status(thm),theory(equality)],[2,45]),
[iquote('0:Res:2.0,45.0')] ).
cnf(178,plain,
l2_lattices(skc14),
inference(res,[status(thm),theory(equality)],[2,46]),
[iquote('0:Res:2.0,46.0')] ).
cnf(259,plain,
~ v3_struct_0(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[174,31]),
[iquote('0:MRR:174.1,31.0')] ).
cnf(260,plain,
v4_lattices(skc14),
inference(mrr,[status(thm)],[168,1,31]),
[iquote('0:MRR:168.0,168.2,1.0,31.0')] ).
cnf(261,plain,
v5_lattices(skc14),
inference(mrr,[status(thm)],[169,1,31]),
[iquote('0:MRR:169.0,169.2,1.0,31.0')] ).
cnf(262,plain,
v6_lattices(skc14),
inference(mrr,[status(thm)],[170,1,31]),
[iquote('0:MRR:170.0,170.2,1.0,31.0')] ).
cnf(263,plain,
v7_lattices(skc14),
inference(mrr,[status(thm)],[171,1,31]),
[iquote('0:MRR:171.0,171.2,1.0,31.0')] ).
cnf(264,plain,
v8_lattices(skc14),
inference(mrr,[status(thm)],[172,1,31]),
[iquote('0:MRR:172.0,172.2,1.0,31.0')] ).
cnf(265,plain,
v9_lattices(skc14),
inference(mrr,[status(thm)],[173,1,31]),
[iquote('0:MRR:173.0,173.2,1.0,31.0')] ).
cnf(266,plain,
v4_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[161,1,31]),
[iquote('0:MRR:161.0,161.2,1.0,31.0')] ).
cnf(267,plain,
v5_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[162,1,31]),
[iquote('0:MRR:162.0,162.2,1.0,31.0')] ).
cnf(268,plain,
v6_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[163,1,31]),
[iquote('0:MRR:163.0,163.2,1.0,31.0')] ).
cnf(269,plain,
v7_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[164,1,31]),
[iquote('0:MRR:164.0,164.2,1.0,31.0')] ).
cnf(270,plain,
v8_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[165,1,31]),
[iquote('0:MRR:165.0,165.2,1.0,31.0')] ).
cnf(271,plain,
v9_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[166,1,31]),
[iquote('0:MRR:166.0,166.2,1.0,31.0')] ).
cnf(272,plain,
v10_lattices(k1_lattice2(skc14)),
inference(mrr,[status(thm)],[167,1,31]),
[iquote('0:MRR:167.0,167.2,1.0,31.0')] ).
cnf(293,plain,
( ~ m1_filter_2(u,k1_lattice2(skc14))
| m2_filter_2(u,skc14) ),
inference(mrr,[status(thm)],[148,1,31]),
[iquote('0:MRR:148.0,148.3,1.0,31.0')] ).
cnf(420,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[80,64]),
[iquote('0:Res:80.1,64.0')] ).
cnf(487,plain,
( ~ l2_lattices(u)
| v1_relat_1(u2_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[110,420]),
[iquote('0:Res:110.1,420.0')] ).
cnf(488,plain,
( ~ l2_lattices(u)
| m1_relset_1(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[110,69]),
[iquote('0:Res:110.1,69.0')] ).
cnf(508,plain,
( ~ l1_lattices(u)
| v1_relat_1(u1_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[108,420]),
[iquote('0:Res:108.1,420.0')] ).
cnf(509,plain,
( ~ l1_lattices(u)
| m1_relset_1(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[108,69]),
[iquote('0:Res:108.1,69.0')] ).
cnf(796,plain,
( ~ l3_lattices(k1_lattice2(skc14))
| ~ v10_lattices(k1_lattice2(skc14))
| ~ m1_filter_0(u,k1_lattice2(skc14))
| v3_struct_0(k1_lattice2(skc14))
| m2_filter_2(u,skc14) ),
inference(res,[status(thm),theory(equality)],[122,293]),
[iquote('0:Res:122.4,293.0')] ).
cnf(801,plain,
( ~ m1_filter_0(u,k1_lattice2(skc14))
| v3_struct_0(k1_lattice2(skc14))
| m2_filter_2(u,skc14) ),
inference(ssi,[status(thm)],[796,271,270,175,269,268,267,266,272,176]),
[iquote('0:SSi:796.1,796.0,271.0,270.0,175.0,269.0,268.0,267.0,266.0,272.0,176.0,271.0,270.0,175.0,269.0,268.0,267.0,266.0,272.0,176.0')] ).
cnf(802,plain,
( ~ m1_filter_0(u,k1_lattice2(skc14))
| m2_filter_2(u,skc14) ),
inference(mrr,[status(thm)],[801,259]),
[iquote('0:MRR:801.1,259.0')] ).
cnf(805,plain,
( ~ l3_lattices(k1_lattice2(skc14))
| ~ v10_lattices(k1_lattice2(skc14))
| v3_struct_0(k1_lattice2(skc14))
| m2_filter_2(u1_struct_0(k1_lattice2(skc14)),skc14) ),
inference(res,[status(thm),theory(equality)],[103,802]),
[iquote('0:Res:103.3,802.0')] ).
cnf(808,plain,
( v3_struct_0(k1_lattice2(skc14))
| m2_filter_2(u1_struct_0(k1_lattice2(skc14)),skc14) ),
inference(ssi,[status(thm)],[805,271,270,175,269,268,267,266,272,176]),
[iquote('0:SSi:805.1,805.0,271.0,270.0,175.0,269.0,268.0,267.0,266.0,272.0,176.0,271.0,270.0,175.0,269.0,268.0,267.0,266.0,272.0,176.0')] ).
cnf(809,plain,
m2_filter_2(u1_struct_0(k1_lattice2(skc14)),skc14),
inference(mrr,[status(thm)],[808,259]),
[iquote('0:MRR:808.0,259.0')] ).
cnf(1045,plain,
( ~ v3_lattices(u)
| ~ l3_lattices(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(w)
| ~ equal(g3_lattices(x,w,v),u)
| ~ m1_relset_1(w,k2_zfmisc_1(x,x),x)
| ~ v1_funct_2(w,k2_zfmisc_1(x,x),x)
| ~ m1_relset_1(v,k2_zfmisc_1(x,x),x)
| ~ v1_funct_2(v,k2_zfmisc_1(x,x),x)
| equal(x,u1_struct_0(u)) ),
inference(spl,[status(thm),theory(equality)],[115,142]),
[iquote('0:SpL:115.2,142.2')] ).
cnf(1593,plain,
( ~ v3_lattices(g3_lattices(u,v,w))
| ~ l3_lattices(g3_lattices(u,v,w))
| ~ v1_funct_1(w)
| ~ v1_funct_1(v)
| ~ m1_relset_1(v,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(v,k2_zfmisc_1(u,u),u)
| ~ m1_relset_1(w,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(w,k2_zfmisc_1(u,u),u)
| equal(u1_struct_0(g3_lattices(u,v,w)),u) ),
inference(eqr,[status(thm),theory(equality)],[1045]),
[iquote('0:EqR:1045.4')] ).
cnf(1597,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m1_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| equal(u1_struct_0(g3_lattices(w,v,u)),w) ),
inference(mrr,[status(thm)],[1593,137,136]),
[iquote('0:MRR:1593.0,1593.1,137.6,136.6')] ).
cnf(2084,plain,
( ~ l1_lattices(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(u1_lattices(u))
| ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| ~ m1_relset_1(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| equal(u1_struct_0(g3_lattices(u1_struct_0(u),u1_lattices(u),v)),u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[509,1597]),
[iquote('0:Res:509.1,1597.2')] ).
cnf(2085,plain,
( ~ l1_lattices(u)
| ~ v1_funct_1(v)
| ~ v1_funct_2(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| ~ m1_relset_1(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| equal(u1_struct_0(g3_lattices(u1_struct_0(u),u1_lattices(u),v)),u1_struct_0(u)) ),
inference(ssi,[status(thm)],[2084,51,508]),
[iquote('0:SSi:2084.2,51.1,508.1')] ).
cnf(2086,plain,
( ~ l1_lattices(u)
| ~ v1_funct_1(v)
| ~ m1_relset_1(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| equal(u1_struct_0(g3_lattices(u1_struct_0(u),u1_lattices(u),v)),u1_struct_0(u)) ),
inference(mrr,[status(thm)],[2085,107]),
[iquote('0:MRR:2085.2,107.1')] ).
cnf(3657,plain,
( ~ l2_lattices(u)
| ~ l1_lattices(u)
| ~ v1_funct_1(u2_lattices(u))
| ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| equal(u1_struct_0(g3_lattices(u1_struct_0(u),u1_lattices(u),u2_lattices(u))),u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[488,2086]),
[iquote('0:Res:488.1,2086.2')] ).
cnf(3662,plain,
( ~ l2_lattices(u)
| ~ l1_lattices(u)
| ~ v1_funct_2(u2_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| equal(u1_struct_0(g3_lattices(u1_struct_0(u),u1_lattices(u),u2_lattices(u))),u1_struct_0(u)) ),
inference(ssi,[status(thm)],[3657,52,487]),
[iquote('0:SSi:3657.2,52.1,487.1')] ).
cnf(3663,plain,
( ~ l2_lattices(u)
| ~ l1_lattices(u)
| equal(u1_struct_0(g3_lattices(u1_struct_0(u),u1_lattices(u),u2_lattices(u))),u1_struct_0(u)) ),
inference(mrr,[status(thm)],[3662,109]),
[iquote('0:MRR:3662.2,109.1')] ).
cnf(6397,plain,
( ~ l2_lattices(skc14)
| ~ l1_lattices(skc14)
| equal(u1_struct_0(k1_lattice2(skc14)),u1_struct_0(skc14)) ),
inference(spr,[status(thm),theory(equality)],[154,3663]),
[iquote('0:SpR:154.0,3663.2')] ).
cnf(6428,plain,
equal(u1_struct_0(k1_lattice2(skc14)),u1_struct_0(skc14)),
inference(ssi,[status(thm)],[6397,1,2,265,264,263,262,261,260,178,177]),
[iquote('0:SSi:6397.1,6397.0,1.0,2.0,265.0,264.0,263.0,262.0,261.0,260.0,178.0,177.0,1.0,2.0,265.0,264.0,263.0,262.0,261.0,260.0,178.0,177.0')] ).
cnf(6429,plain,
m2_filter_2(u1_struct_0(skc14),skc14),
inference(rew,[status(thm),theory(equality)],[6428,809]),
[iquote('0:Rew:6428.0,809.0')] ).
cnf(6604,plain,
$false,
inference(mrr,[status(thm)],[6429,41]),
[iquote('0:MRR:6429.0,41.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT304+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 21:25:00 EDT 2022
% 0.12/0.32 % CPUTime :
% 1.44/1.66
% 1.44/1.66 SPASS V 3.9
% 1.44/1.66 SPASS beiseite: Proof found.
% 1.44/1.66 % SZS status Theorem
% 1.44/1.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.66 SPASS derived 5013 clauses, backtracked 5 clauses, performed 9 splits and kept 2611 clauses.
% 1.44/1.66 SPASS allocated 104199 KBytes.
% 1.44/1.66 SPASS spent 0:00:01.33 on the problem.
% 1.44/1.66 0:00:00.04 for the input.
% 1.44/1.66 0:00:00.04 for the FLOTTER CNF translation.
% 1.44/1.66 0:00:00.13 for inferences.
% 1.44/1.66 0:00:00.00 for the backtracking.
% 1.44/1.66 0:00:01.01 for the reduction.
% 1.44/1.66
% 1.44/1.66
% 1.44/1.66 Here is a proof with depth 5, length 98 :
% 1.44/1.66 % SZS output start Refutation
% See solution above
% 1.50/1.70 Formulae used in the proof : t28_filter_2 dt_l3_lattices dt_k1_lattice2 dt_u1_lattices dt_u2_lattices cc1_relset_1 fc1_lattice2 redefinition_m2_relset_1 cc1_lattices dt_m2_relset_1 fc6_lattice2 t15_filter_0 d2_lattice2 abstractness_v3_lattices redefinition_m1_filter_2 t21_filter_2 dt_g3_lattices free_g3_lattices
% 1.50/1.70
%------------------------------------------------------------------------------