TSTP Solution File: LAT332+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT332+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 06:50:57 EDT 2022
% Result : Theorem 8.92s 9.16s
% Output : Refutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 35
% Syntax : Number of clauses : 98 ( 24 unt; 39 nHn; 98 RR)
% Number of literals : 269 ( 0 equ; 134 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc14),
file('LAT332+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc14),
file('LAT332+1.p',unknown),
[] ).
cnf(31,axiom,
~ v3_struct_0(skc14),
file('LAT332+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ l2_lattices(u)
| l1_struct_0(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ l1_lattices(u)
| v1_funct_1(u1_lattices(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ l2_lattices(u)
| v1_funct_1(u2_lattices(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| r1_tarski(u,v) ),
file('LAT332+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('LAT332+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('LAT332+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ l2_lattices(u)
| ~ v4_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u2_lattices(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ v1_relat_1(u)
| equal(k7_relat_1(u,k2_zfmisc_1(v,v)),k1_realset1(u,v)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m2_filter_2(k17_filter_2(u),u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ m1_relset_1(u,v,w)
| m1_subset_1(k4_relset_1(v,w,u),k1_zfmisc_1(v)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ m1_relset_1(u,v,w)
| equal(k4_relset_1(v,w,u),k1_relat_1(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),u1_struct_0(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(u1_struct_0(u),k17_filter_2(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(122,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('LAT332+1.p',unknown),
[] ).
cnf(124,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('LAT332+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_0(u),k1_filter_2(u)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ v1_relat_1(u)
| ~ r1_tarski(k1_relat_1(u),v)
| equal(k7_relat_1(u,v),u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v1_xboole_0(v)
| v3_struct_0(u)
| m2_nat_lat(k23_filter_2(u,v),u) ),
file('LAT332+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ equal(g3_lattices(u1_struct_0(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14)))
| ~ equal(g3_lattices(u1_struct_0(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k1_filter_2(skc14))) ),
file('LAT332+1.p',unknown),
[] ).
cnf(175,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_nat_lat(v,u)
| ~ m2_lattice4(w,u)
| ~ equal(v,k23_filter_2(u,w))
| v1_xboole_0(w)
| v3_struct_0(u)
| equal(skf14(v,u,w),k1_realset1(u2_lattices(u),w)) ),
file('LAT332+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_nat_lat(v,u)
| ~ m2_lattice4(w,u)
| ~ equal(v,k23_filter_2(u,w))
| v1_xboole_0(w)
| v3_struct_0(u)
| equal(g3_lattices(w,skf14(v,u,w),k1_realset1(u1_lattices(u),w)),v) ),
file('LAT332+1.p',unknown),
[] ).
cnf(188,plain,
( ~ m1_relset_1(u,v,w)
| m1_subset_1(k1_relat_1(u),k1_zfmisc_1(v)) ),
inference(rew,[status(thm),theory(equality)],[115,107]),
[iquote('0:Rew:115.1,107.1')] ).
cnf(190,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(k1_filter_2(u),k17_filter_2(u)) ),
inference(rew,[status(thm),theory(equality)],[129,118,119]),
[iquote('0:Rew:129.3,118.3,119.3,118.3')] ).
cnf(205,plain,
( ~ v10_lattices(skc14)
| ~ m2_lattice4(u,skc14)
| v3_struct_0(skc14)
| m2_nat_lat(k23_filter_2(skc14,u),skc14)
| v1_xboole_0(u) ),
inference(res,[status(thm),theory(equality)],[2,161]),
[iquote('0:Res:2.0,161.1')] ).
cnf(219,plain,
( ~ v10_lattices(skc14)
| ~ m2_filter_2(u,skc14)
| m2_lattice4(u,skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,139]),
[iquote('0:Res:2.0,139.1')] ).
cnf(227,plain,
( ~ v10_lattices(skc14)
| v3_struct_0(skc14)
| equal(k1_filter_2(skc14),k17_filter_2(skc14)) ),
inference(res,[status(thm),theory(equality)],[2,190]),
[iquote('0:Res:2.0,190.1')] ).
cnf(228,plain,
( ~ v10_lattices(skc14)
| v3_struct_0(skc14)
| equal(u1_struct_0(skc14),k17_filter_2(skc14)) ),
inference(res,[status(thm),theory(equality)],[2,119]),
[iquote('0:Res:2.0,119.1')] ).
cnf(229,plain,
( ~ v10_lattices(skc14)
| v3_struct_0(skc14)
| m2_filter_2(k17_filter_2(skc14),skc14) ),
inference(res,[status(thm),theory(equality)],[2,104]),
[iquote('0:Res:2.0,104.1')] ).
cnf(245,plain,
( ~ v10_lattices(skc14)
| v4_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,74]),
[iquote('0:Res:2.0,74.0')] ).
cnf(246,plain,
( ~ v10_lattices(skc14)
| v5_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,75]),
[iquote('0:Res:2.0,75.0')] ).
cnf(247,plain,
( ~ v10_lattices(skc14)
| v6_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,76]),
[iquote('0:Res:2.0,76.0')] ).
cnf(248,plain,
( ~ v10_lattices(skc14)
| v7_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,77]),
[iquote('0:Res:2.0,77.0')] ).
cnf(249,plain,
( ~ v10_lattices(skc14)
| v8_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,78]),
[iquote('0:Res:2.0,78.0')] ).
cnf(250,plain,
( ~ v10_lattices(skc14)
| v9_lattices(skc14)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[2,79]),
[iquote('0:Res:2.0,79.0')] ).
cnf(251,plain,
l1_lattices(skc14),
inference(res,[status(thm),theory(equality)],[2,46]),
[iquote('0:Res:2.0,46.0')] ).
cnf(252,plain,
l2_lattices(skc14),
inference(res,[status(thm),theory(equality)],[2,47]),
[iquote('0:Res:2.0,47.0')] ).
cnf(258,plain,
( ~ l3_lattices(skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| ~ m2_lattice4(v,skc14)
| ~ m2_nat_lat(u,skc14)
| equal(g3_lattices(v,skf14(u,skc14,v),k1_realset1(u1_lattices(skc14),v)),u)
| v3_struct_0(skc14)
| v1_xboole_0(v) ),
inference(res,[status(thm),theory(equality)],[1,178]),
[iquote('0:Res:1.0,178.0')] ).
cnf(261,plain,
( ~ l3_lattices(skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| ~ m2_lattice4(v,skc14)
| ~ m2_nat_lat(u,skc14)
| equal(skf14(u,skc14,v),k1_realset1(u2_lattices(skc14),v))
| v3_struct_0(skc14)
| v1_xboole_0(v) ),
inference(res,[status(thm),theory(equality)],[1,175]),
[iquote('0:Res:1.0,175.0')] ).
cnf(362,plain,
( ~ v4_lattices(skc14)
| ~ l2_lattices(skc14)
| v1_relat_1(u2_lattices(skc14)) ),
inference(res,[status(thm),theory(equality)],[86,31]),
[iquote('0:Res:86.3,31.0')] ).
cnf(380,plain,
( ~ l1_struct_0(skc14)
| ~ v1_xboole_0(u1_struct_0(skc14)) ),
inference(res,[status(thm),theory(equality)],[67,31]),
[iquote('0:Res:67.2,31.0')] ).
cnf(387,plain,
v4_lattices(skc14),
inference(mrr,[status(thm)],[245,1,31]),
[iquote('0:MRR:245.0,245.2,1.0,31.0')] ).
cnf(388,plain,
v5_lattices(skc14),
inference(mrr,[status(thm)],[246,1,31]),
[iquote('0:MRR:246.0,246.2,1.0,31.0')] ).
cnf(389,plain,
v6_lattices(skc14),
inference(mrr,[status(thm)],[247,1,31]),
[iquote('0:MRR:247.0,247.2,1.0,31.0')] ).
cnf(390,plain,
v7_lattices(skc14),
inference(mrr,[status(thm)],[248,1,31]),
[iquote('0:MRR:248.0,248.2,1.0,31.0')] ).
cnf(391,plain,
v8_lattices(skc14),
inference(mrr,[status(thm)],[249,1,31]),
[iquote('0:MRR:249.0,249.2,1.0,31.0')] ).
cnf(392,plain,
v9_lattices(skc14),
inference(mrr,[status(thm)],[250,1,31]),
[iquote('0:MRR:250.0,250.2,1.0,31.0')] ).
cnf(403,plain,
m2_filter_2(k17_filter_2(skc14),skc14),
inference(mrr,[status(thm)],[229,1,31]),
[iquote('0:MRR:229.0,229.1,1.0,31.0')] ).
cnf(411,plain,
v1_relat_1(u2_lattices(skc14)),
inference(mrr,[status(thm)],[362,387,252]),
[iquote('0:MRR:362.0,362.1,387.0,252.0')] ).
cnf(414,plain,
equal(k1_filter_2(skc14),k17_filter_2(skc14)),
inference(mrr,[status(thm)],[227,1,31]),
[iquote('0:MRR:227.0,227.1,1.0,31.0')] ).
cnf(415,plain,
( ~ equal(g3_lattices(u1_struct_0(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14)))
| ~ equal(g3_lattices(u1_struct_0(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14))) ),
inference(rew,[status(thm),theory(equality)],[414,171]),
[iquote('0:Rew:414.0,171.1')] ).
cnf(416,plain,
equal(u1_struct_0(skc14),k17_filter_2(skc14)),
inference(mrr,[status(thm)],[228,1,31]),
[iquote('0:MRR:228.0,228.1,1.0,31.0')] ).
cnf(417,plain,
( ~ l1_struct_0(skc14)
| ~ v1_xboole_0(k17_filter_2(skc14)) ),
inference(rew,[status(thm),theory(equality)],[416,380]),
[iquote('0:Rew:416.0,380.1')] ).
cnf(430,plain,
( ~ m2_filter_2(u,skc14)
| m2_lattice4(u,skc14) ),
inference(mrr,[status(thm)],[219,1,31]),
[iquote('0:MRR:219.0,219.3,1.0,31.0')] ).
cnf(447,plain,
( ~ m2_lattice4(u,skc14)
| v1_xboole_0(u)
| m2_nat_lat(k23_filter_2(skc14,u),skc14) ),
inference(mrr,[status(thm)],[205,1,31]),
[iquote('0:MRR:205.0,205.2,1.0,31.0')] ).
cnf(456,plain,
~ equal(g3_lattices(u1_struct_0(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14))),
inference(obv,[status(thm),theory(equality)],[415]),
[iquote('0:Obv:415.0')] ).
cnf(457,plain,
~ equal(g3_lattices(k17_filter_2(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14))),
inference(rew,[status(thm),theory(equality)],[416,456]),
[iquote('0:Rew:416.0,456.0')] ).
cnf(460,plain,
( ~ m2_nat_lat(u,skc14)
| ~ m2_lattice4(v,skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| v1_xboole_0(v)
| equal(skf14(u,skc14,v),k1_realset1(u2_lattices(skc14),v)) ),
inference(mrr,[status(thm)],[261,2,31]),
[iquote('0:MRR:261.0,261.5,2.0,31.0')] ).
cnf(463,plain,
( ~ m2_nat_lat(u,skc14)
| ~ m2_lattice4(v,skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| v1_xboole_0(v)
| equal(g3_lattices(v,skf14(u,skc14,v),k1_realset1(u1_lattices(skc14),v)),u) ),
inference(mrr,[status(thm)],[258,2,31]),
[iquote('0:MRR:258.0,258.5,2.0,31.0')] ).
cnf(486,plain,
( ~ l2_lattices(skc14)
| ~ v1_xboole_0(k17_filter_2(skc14)) ),
inference(sor,[status(thm)],[417,45]),
[iquote('0:SoR:417.0,45.1')] ).
cnf(488,plain,
~ v1_xboole_0(k17_filter_2(skc14)),
inference(ssi,[status(thm)],[486,1,2,392,391,390,389,388,387,252,251]),
[iquote('0:SSi:486.0,1.0,2.0,392.0,391.0,390.0,389.0,388.0,387.0,252.0,251.0')] ).
cnf(506,plain,
m2_lattice4(k17_filter_2(skc14),skc14),
inference(res,[status(thm),theory(equality)],[403,430]),
[iquote('0:Res:403.0,430.0')] ).
cnf(598,plain,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(k1_relat_1(u),k1_zfmisc_1(v)) ),
inference(res,[status(thm),theory(equality)],[70,188]),
[iquote('0:Res:70.1,188.0')] ).
cnf(633,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[85,66]),
[iquote('0:Res:85.1,66.0')] ).
cnf(778,plain,
( ~ l2_lattices(skc14)
| m2_relset_1(u2_lattices(skc14),k2_zfmisc_1(k17_filter_2(skc14),k17_filter_2(skc14)),k17_filter_2(skc14)) ),
inference(spr,[status(thm),theory(equality)],[416,124]),
[iquote('0:SpR:416.0,124.1')] ).
cnf(785,plain,
m2_relset_1(u2_lattices(skc14),k2_zfmisc_1(k17_filter_2(skc14),k17_filter_2(skc14)),k17_filter_2(skc14)),
inference(ssi,[status(thm)],[778,1,2,392,391,390,389,388,387,252,251]),
[iquote('0:SSi:778.0,1.0,2.0,392.0,391.0,390.0,389.0,388.0,387.0,252.0,251.0')] ).
cnf(794,plain,
( ~ l1_lattices(u)
| v1_relat_1(u1_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[122,633]),
[iquote('0:Res:122.1,633.0')] ).
cnf(795,plain,
( ~ l1_lattices(u)
| m1_subset_1(k1_relat_1(u1_lattices(u)),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)))) ),
inference(res,[status(thm),theory(equality)],[122,598]),
[iquote('0:Res:122.1,598.0')] ).
cnf(873,plain,
m1_subset_1(k1_relat_1(u2_lattices(skc14)),k1_zfmisc_1(k2_zfmisc_1(k17_filter_2(skc14),k17_filter_2(skc14)))),
inference(res,[status(thm),theory(equality)],[785,598]),
[iquote('0:Res:785.0,598.0')] ).
cnf(926,plain,
r1_tarski(k1_relat_1(u2_lattices(skc14)),k2_zfmisc_1(k17_filter_2(skc14),k17_filter_2(skc14))),
inference(res,[status(thm),theory(equality)],[873,64]),
[iquote('0:Res:873.0,64.0')] ).
cnf(957,plain,
( ~ v1_relat_1(u2_lattices(skc14))
| equal(k7_relat_1(u2_lattices(skc14),k2_zfmisc_1(k17_filter_2(skc14),k17_filter_2(skc14))),u2_lattices(skc14)) ),
inference(res,[status(thm),theory(equality)],[926,130]),
[iquote('0:Res:926.0,130.1')] ).
cnf(961,plain,
( ~ v1_relat_1(u2_lattices(skc14))
| equal(k1_realset1(u2_lattices(skc14),k17_filter_2(skc14)),u2_lattices(skc14)) ),
inference(rew,[status(thm),theory(equality)],[103,957]),
[iquote('0:Rew:103.1,957.1')] ).
cnf(962,plain,
equal(k1_realset1(u2_lattices(skc14),k17_filter_2(skc14)),u2_lattices(skc14)),
inference(ssi,[status(thm)],[961,52,1,2,392,391,390,389,388,387,252,251,411]),
[iquote('0:SSi:961.0,52.0,1.0,2.0,392.0,391.0,390.0,389.0,388.0,387.0,252.0,251.0,411.1')] ).
cnf(3320,plain,
( ~ l1_lattices(u)
| r1_tarski(k1_relat_1(u1_lattices(u)),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u))) ),
inference(res,[status(thm),theory(equality)],[795,64]),
[iquote('0:Res:795.1,64.0')] ).
cnf(3336,plain,
( ~ l1_lattices(u)
| ~ v1_relat_1(u1_lattices(u))
| equal(k7_relat_1(u1_lattices(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u))),u1_lattices(u)) ),
inference(res,[status(thm),theory(equality)],[3320,130]),
[iquote('0:Res:3320.1,130.1')] ).
cnf(3337,plain,
( ~ l1_lattices(u)
| ~ v1_relat_1(u1_lattices(u))
| equal(k1_realset1(u1_lattices(u),u1_struct_0(u)),u1_lattices(u)) ),
inference(rew,[status(thm),theory(equality)],[103,3336]),
[iquote('0:Rew:103.1,3336.2')] ).
cnf(3338,plain,
( ~ l1_lattices(u)
| equal(k1_realset1(u1_lattices(u),u1_struct_0(u)),u1_lattices(u)) ),
inference(ssi,[status(thm)],[3337,51,794]),
[iquote('0:SSi:3337.1,51.1,794.1')] ).
cnf(3586,plain,
( ~ m2_nat_lat(u,skc14)
| ~ m2_lattice4(v,skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| ~ m2_nat_lat(u,skc14)
| ~ m2_lattice4(v,skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| v1_xboole_0(v)
| v1_xboole_0(v)
| equal(g3_lattices(v,k1_realset1(u2_lattices(skc14),v),k1_realset1(u1_lattices(skc14),v)),u) ),
inference(spr,[status(thm),theory(equality)],[460,463]),
[iquote('0:SpR:460.4,463.4')] ).
cnf(3597,plain,
( ~ m2_nat_lat(u,skc14)
| ~ m2_lattice4(v,skc14)
| ~ equal(u,k23_filter_2(skc14,v))
| v1_xboole_0(v)
| equal(g3_lattices(v,k1_realset1(u2_lattices(skc14),v),k1_realset1(u1_lattices(skc14),v)),u) ),
inference(obv,[status(thm),theory(equality)],[3586]),
[iquote('0:Obv:3586.6')] ).
cnf(22197,plain,
( ~ m2_nat_lat(k23_filter_2(skc14,u),skc14)
| ~ m2_lattice4(u,skc14)
| v1_xboole_0(u)
| equal(g3_lattices(u,k1_realset1(u2_lattices(skc14),u),k1_realset1(u1_lattices(skc14),u)),k23_filter_2(skc14,u)) ),
inference(eqr,[status(thm),theory(equality)],[3597]),
[iquote('0:EqR:3597.2')] ).
cnf(22199,plain,
( ~ m2_lattice4(u,skc14)
| v1_xboole_0(u)
| equal(g3_lattices(u,k1_realset1(u2_lattices(skc14),u),k1_realset1(u1_lattices(skc14),u)),k23_filter_2(skc14,u)) ),
inference(mrr,[status(thm)],[22197,447]),
[iquote('0:MRR:22197.0,447.2')] ).
cnf(25721,plain,
( ~ l1_lattices(skc14)
| ~ m2_lattice4(u1_struct_0(skc14),skc14)
| v1_xboole_0(u1_struct_0(skc14))
| equal(g3_lattices(u1_struct_0(skc14),k1_realset1(u2_lattices(skc14),u1_struct_0(skc14)),u1_lattices(skc14)),k23_filter_2(skc14,u1_struct_0(skc14))) ),
inference(spr,[status(thm),theory(equality)],[3338,22199]),
[iquote('0:SpR:3338.1,22199.2')] ).
cnf(25759,plain,
( ~ l1_lattices(skc14)
| ~ m2_lattice4(k17_filter_2(skc14),skc14)
| v1_xboole_0(k17_filter_2(skc14))
| equal(g3_lattices(k17_filter_2(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14))) ),
inference(rew,[status(thm),theory(equality)],[962,25721,416]),
[iquote('0:Rew:962.0,25721.3,416.0,25721.3,416.0,25721.2,416.0,25721.1')] ).
cnf(25760,plain,
( ~ m2_lattice4(k17_filter_2(skc14),skc14)
| v1_xboole_0(k17_filter_2(skc14))
| equal(g3_lattices(k17_filter_2(skc14),u2_lattices(skc14),u1_lattices(skc14)),k23_filter_2(skc14,k17_filter_2(skc14))) ),
inference(ssi,[status(thm)],[25759,1,2,392,391,390,389,388,387,252,251]),
[iquote('0:SSi:25759.0,1.0,2.0,392.0,391.0,390.0,389.0,388.0,387.0,252.0,251.0')] ).
cnf(25761,plain,
$false,
inference(mrr,[status(thm)],[25760,506,488,457]),
[iquote('0:MRR:25760.0,25760.1,25760.2,506.0,488.0,457.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT332+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 23:26:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.92/9.16
% 8.92/9.16 SPASS V 3.9
% 8.92/9.16 SPASS beiseite: Proof found.
% 8.92/9.16 % SZS status Theorem
% 8.92/9.16 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.92/9.16 SPASS derived 20320 clauses, backtracked 2376 clauses, performed 18 splits and kept 8727 clauses.
% 8.92/9.16 SPASS allocated 121514 KBytes.
% 8.92/9.16 SPASS spent 0:00:08.80 on the problem.
% 8.92/9.16 0:00:00.04 for the input.
% 8.92/9.16 0:00:00.06 for the FLOTTER CNF translation.
% 8.92/9.16 0:00:00.47 for inferences.
% 8.92/9.16 0:00:00.32 for the backtracking.
% 8.92/9.16 0:00:07.63 for the reduction.
% 8.92/9.16
% 8.92/9.16
% 8.92/9.16 Here is a proof with depth 5, length 98 :
% 8.92/9.16 % SZS output start Refutation
% See solution above
% 9.53/9.77 Formulae used in the proof : t72_filter_2 dt_l2_lattices dt_l3_lattices dt_u1_lattices dt_u2_lattices t3_subset cc1_relset_1 fc1_struct_0 redefinition_m2_relset_1 cc1_lattices dt_m2_relset_1 fc2_lattice2 d3_realset1 dt_k17_filter_2 dt_k4_relset_1 redefinition_k4_relset_1 d2_filter_0 d8_filter_2 redefinition_k1_filter_2 t97_relat_1 dt_m2_filter_2 dt_k23_filter_2 d16_filter_2 rc3_funct_1
% 9.53/9.77
%------------------------------------------------------------------------------