TSTP Solution File: LAT326+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT326+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:50:51 EDT 2022
% Result : Theorem 1.44s 1.60s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 53
% Syntax : Number of clauses : 220 ( 72 unt; 70 nHn; 220 RR)
% Number of literals : 883 ( 0 equ; 616 neg)
% Maximal clause size : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_funct_1(skc15),
file('LAT326+1.p',unknown),
[] ).
cnf(2,axiom,
v10_lattices(skc13),
file('LAT326+1.p',unknown),
[] ).
cnf(3,axiom,
l3_lattices(skc13),
file('LAT326+1.p',unknown),
[] ).
cnf(19,axiom,
~ v1_xboole_0(skc14),
file('LAT326+1.p',unknown),
[] ).
cnf(20,axiom,
~ v3_struct_0(skc13),
file('LAT326+1.p',unknown),
[] ).
cnf(21,axiom,
m2_lattice4(skc14,skc13),
file('LAT326+1.p',unknown),
[] ).
cnf(25,axiom,
r1_tarski(u,u),
file('LAT326+1.p',unknown),
[] ).
cnf(26,axiom,
m1_subset_1(skf9(u),u),
file('LAT326+1.p',unknown),
[] ).
cnf(28,axiom,
~ v1_xboole_0(skf12(u)),
file('LAT326+1.p',unknown),
[] ).
cnf(29,axiom,
v1_funct_1(k1_realset1(u1_lattices(skc13),skc14)),
file('LAT326+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ l2_lattices(u)
| l1_struct_0(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(37,axiom,
v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14),
file('LAT326+1.p',unknown),
[] ).
cnf(38,axiom,
m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14),
file('LAT326+1.p',unknown),
[] ).
cnf(39,axiom,
equal(k1_realset1(u2_lattices(skc13),skc14),skc15),
file('LAT326+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ l1_lattices(u)
| v1_funct_1(u1_lattices(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ l2_lattices(u)
| v1_funct_1(u2_lattices(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ v1_relat_1(u)
| v1_relat_1(k1_realset1(u,v)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ r1_tarski(u,v)
| m1_subset_1(u,k1_zfmisc_1(v)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(54,axiom,
m2_relset_1(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14),
file('LAT326+1.p',unknown),
[] ).
cnf(55,axiom,
v1_funct_2(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14),
file('LAT326+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('LAT326+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ v1_relat_1(u)
| ~ v1_funct_1(u)
| v1_funct_1(k1_realset1(u,v)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('LAT326+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ l2_lattices(u)
| ~ v4_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u2_lattices(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ l1_lattices(u)
| ~ v6_lattices(u)
| v3_struct_0(u)
| v1_relat_1(u1_lattices(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m2_lattice4(skf12(u),u) ),
file('LAT326+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ r2_hidden(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| m1_subset_1(u,w) ),
file('LAT326+1.p',unknown),
[] ).
cnf(89,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('LAT326+1.p',unknown),
[] ).
cnf(90,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('LAT326+1.p',unknown),
[] ).
cnf(91,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('LAT326+1.p',unknown),
[] ).
cnf(92,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('LAT326+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ l2_lattices(u)
| ~ v4_lattices(u)
| v3_struct_0(u)
| v1_binop_1(u2_lattices(u),u1_struct_0(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ l2_lattices(u)
| ~ v5_lattices(u)
| v3_struct_0(u)
| v2_binop_1(u2_lattices(u),u1_struct_0(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ l1_lattices(u)
| ~ v6_lattices(u)
| v3_struct_0(u)
| v1_binop_1(u1_lattices(u),u1_struct_0(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ l1_lattices(u)
| ~ v7_lattices(u)
| v3_struct_0(u)
| v2_binop_1(u1_lattices(u),u1_struct_0(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| r1_lattice2(u1_struct_0(u),u2_lattices(u),u1_lattices(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| r1_lattice2(u1_struct_0(u),u1_lattices(u),u2_lattices(u)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
file('LAT326+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ v2_binop_1(skc15,skc14)
| ~ v1_binop_1(skc15,skc14)
| ~ v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
file('LAT326+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(k1_realset1(u,v))
| ~ v2_binop_1(u,w)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(k1_realset1(u,v),k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(k1_realset1(u,v),k2_zfmisc_1(v,v),v)
| v1_xboole_0(v)
| v1_xboole_0(w)
| v2_binop_1(k1_realset1(u,v),v) ),
file('LAT326+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(k1_realset1(u,v))
| ~ v1_binop_1(u,w)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| ~ m2_relset_1(u,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(k1_realset1(u,v),k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(k1_realset1(u,v),k2_zfmisc_1(v,v),v)
| v1_xboole_0(v)
| v1_xboole_0(w)
| v1_binop_1(k1_realset1(u,v),v) ),
file('LAT326+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(w)
| ~ v1_funct_1(k1_realset1(v,x))
| ~ m1_subset_1(x,k1_zfmisc_1(y))
| ~ equal(u,k1_realset1(w,x))
| ~ r1_lattice2(y,w,v)
| ~ m2_relset_1(u,k2_zfmisc_1(x,x),x)
| ~ v1_funct_2(u,k2_zfmisc_1(x,x),x)
| ~ v1_funct_2(w,k2_zfmisc_1(y,y),y)
| ~ m2_relset_1(v,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(v,k2_zfmisc_1(y,y),y)
| ~ m2_relset_1(w,k2_zfmisc_1(y,y),y)
| ~ v1_funct_2(k1_realset1(v,x),k2_zfmisc_1(x,x),x)
| ~ m2_relset_1(k1_realset1(v,x),k2_zfmisc_1(x,x),x)
| v1_xboole_0(x)
| v1_xboole_0(y)
| r1_lattice2(x,u,k1_realset1(v,x)) ),
file('LAT326+1.p',unknown),
[] ).
cnf(117,plain,
( ~ v10_lattices(skc13)
| v3_struct_0(skc13)
| r1_lattice2(u1_struct_0(skc13),u2_lattices(skc13),u1_lattices(skc13)) ),
inference(res,[status(thm),theory(equality)],[3,97]),
[iquote('0:Res:3.0,97.1')] ).
cnf(118,plain,
( ~ v10_lattices(skc13)
| v3_struct_0(skc13)
| r1_lattice2(u1_struct_0(skc13),u1_lattices(skc13),u2_lattices(skc13)) ),
inference(res,[status(thm),theory(equality)],[3,98]),
[iquote('0:Res:3.0,98.1')] ).
cnf(120,plain,
( ~ v10_lattices(skc13)
| v3_struct_0(skc13)
| m2_lattice4(skf12(skc13),skc13) ),
inference(res,[status(thm),theory(equality)],[3,86]),
[iquote('0:Res:3.0,86.1')] ).
cnf(121,plain,
( ~ v10_lattices(skc13)
| v4_lattices(skc13)
| v3_struct_0(skc13) ),
inference(res,[status(thm),theory(equality)],[3,64]),
[iquote('0:Res:3.0,64.0')] ).
cnf(122,plain,
( ~ v10_lattices(skc13)
| v5_lattices(skc13)
| v3_struct_0(skc13) ),
inference(res,[status(thm),theory(equality)],[3,65]),
[iquote('0:Res:3.0,65.0')] ).
cnf(123,plain,
( ~ v10_lattices(skc13)
| v6_lattices(skc13)
| v3_struct_0(skc13) ),
inference(res,[status(thm),theory(equality)],[3,66]),
[iquote('0:Res:3.0,66.0')] ).
cnf(124,plain,
( ~ v10_lattices(skc13)
| v7_lattices(skc13)
| v3_struct_0(skc13) ),
inference(res,[status(thm),theory(equality)],[3,67]),
[iquote('0:Res:3.0,67.0')] ).
cnf(125,plain,
( ~ v10_lattices(skc13)
| v8_lattices(skc13)
| v3_struct_0(skc13) ),
inference(res,[status(thm),theory(equality)],[3,68]),
[iquote('0:Res:3.0,68.0')] ).
cnf(126,plain,
( ~ v10_lattices(skc13)
| v9_lattices(skc13)
| v3_struct_0(skc13) ),
inference(res,[status(thm),theory(equality)],[3,69]),
[iquote('0:Res:3.0,69.0')] ).
cnf(127,plain,
l1_lattices(skc13),
inference(res,[status(thm),theory(equality)],[3,33]),
[iquote('0:Res:3.0,33.0')] ).
cnf(128,plain,
l2_lattices(skc13),
inference(res,[status(thm),theory(equality)],[3,34]),
[iquote('0:Res:3.0,34.0')] ).
cnf(144,plain,
( ~ v1_relat_1(skc15)
| v1_funct_1(k1_realset1(skc15,u)) ),
inference(res,[status(thm),theory(equality)],[1,71]),
[iquote('0:Res:1.0,71.0')] ).
cnf(148,plain,
( ~ v10_lattices(skc13)
| ~ l3_lattices(skc13)
| v3_struct_0(skc13)
| m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13))) ),
inference(res,[status(thm),theory(equality)],[21,99]),
[iquote('0:Res:21.0,99.2')] ).
cnf(157,plain,
( ~ v4_lattices(skc13)
| ~ l2_lattices(skc13)
| v1_binop_1(u2_lattices(skc13),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[93,20]),
[iquote('0:Res:93.3,20.0')] ).
cnf(158,plain,
( ~ v5_lattices(skc13)
| ~ l2_lattices(skc13)
| v2_binop_1(u2_lattices(skc13),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[94,20]),
[iquote('0:Res:94.3,20.0')] ).
cnf(159,plain,
( ~ v6_lattices(skc13)
| ~ l1_lattices(skc13)
| v1_binop_1(u1_lattices(skc13),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[95,20]),
[iquote('0:Res:95.3,20.0')] ).
cnf(160,plain,
( ~ v7_lattices(skc13)
| ~ l1_lattices(skc13)
| v2_binop_1(u1_lattices(skc13),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[96,20]),
[iquote('0:Res:96.3,20.0')] ).
cnf(163,plain,
( ~ v4_lattices(skc13)
| ~ l2_lattices(skc13)
| v1_relat_1(u2_lattices(skc13)) ),
inference(res,[status(thm),theory(equality)],[76,20]),
[iquote('0:Res:76.3,20.0')] ).
cnf(165,plain,
( ~ v6_lattices(skc13)
| ~ l1_lattices(skc13)
| v1_relat_1(u1_lattices(skc13)) ),
inference(res,[status(thm),theory(equality)],[80,20]),
[iquote('0:Res:80.3,20.0')] ).
cnf(173,plain,
( ~ l1_struct_0(skc13)
| ~ v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[57,20]),
[iquote('0:Res:57.2,20.0')] ).
cnf(177,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(k1_realset1(u,skc14))
| ~ v1_binop_1(u,v)
| ~ m1_subset_1(skc14,k1_zfmisc_1(v))
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(v)
| v1_binop_1(k1_realset1(u,skc14),skc14) ),
inference(res,[status(thm),theory(equality)],[112,19]),
[iquote('0:Res:112.10,19.0')] ).
cnf(179,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(k1_realset1(u,skc14))
| ~ v2_binop_1(u,v)
| ~ m1_subset_1(skc14,k1_zfmisc_1(v))
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(v)
| v2_binop_1(k1_realset1(u,skc14),skc14) ),
inference(res,[status(thm),theory(equality)],[110,19]),
[iquote('0:Res:110.10,19.0')] ).
cnf(181,plain,
( ~ m1_subset_1(u,skc14)
| r2_hidden(u,skc14) ),
inference(res,[status(thm),theory(equality)],[62,19]),
[iquote('0:Res:62.2,19.0')] ).
cnf(199,plain,
( ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(u)
| ~ v1_funct_1(skc15)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ m1_subset_1(skc14,k1_zfmisc_1(v))
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ r1_lattice2(v,u2_lattices(skc13),u)
| ~ m2_relset_1(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_1(k1_realset1(u,skc14))
| v1_xboole_0(v)
| v1_xboole_0(skc14)
| r1_lattice2(skc14,skc15,k1_realset1(u,skc14)) ),
inference(res,[status(thm),theory(equality)],[39,113]),
[iquote('0:Res:39.0,113.10')] ).
cnf(230,plain,
( ~ v1_funct_1(u1_lattices(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v1_binop_1(u1_lattices(skc13),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_1(k1_realset1(u1_lattices(skc13),skc14))
| ~ v1_funct_2(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| v1_xboole_0(u)
| v1_xboole_0(skc14) ),
inference(res,[status(thm),theory(equality)],[54,112]),
[iquote('0:Res:54.0,112.7')] ).
cnf(232,plain,
( ~ v1_funct_1(u1_lattices(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v2_binop_1(u1_lattices(skc13),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_1(k1_realset1(u1_lattices(skc13),skc14))
| ~ v1_funct_2(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| v1_xboole_0(u)
| v1_xboole_0(skc14) ),
inference(res,[status(thm),theory(equality)],[54,110]),
[iquote('0:Res:54.0,110.7')] ).
cnf(236,plain,
v4_lattices(skc13),
inference(mrr,[status(thm)],[121,2,20]),
[iquote('0:MRR:121.0,121.2,2.0,20.0')] ).
cnf(237,plain,
v5_lattices(skc13),
inference(mrr,[status(thm)],[122,2,20]),
[iquote('0:MRR:122.0,122.2,2.0,20.0')] ).
cnf(238,plain,
v6_lattices(skc13),
inference(mrr,[status(thm)],[123,2,20]),
[iquote('0:MRR:123.0,123.2,2.0,20.0')] ).
cnf(239,plain,
v7_lattices(skc13),
inference(mrr,[status(thm)],[124,2,20]),
[iquote('0:MRR:124.0,124.2,2.0,20.0')] ).
cnf(240,plain,
v8_lattices(skc13),
inference(mrr,[status(thm)],[125,2,20]),
[iquote('0:MRR:125.0,125.2,2.0,20.0')] ).
cnf(241,plain,
v9_lattices(skc13),
inference(mrr,[status(thm)],[126,2,20]),
[iquote('0:MRR:126.0,126.2,2.0,20.0')] ).
cnf(243,plain,
m2_lattice4(skf12(skc13),skc13),
inference(mrr,[status(thm)],[120,2,20]),
[iquote('0:MRR:120.0,120.1,2.0,20.0')] ).
cnf(244,plain,
v1_relat_1(u2_lattices(skc13)),
inference(mrr,[status(thm)],[163,236,128]),
[iquote('0:MRR:163.0,163.1,236.0,128.0')] ).
cnf(245,plain,
v1_relat_1(u1_lattices(skc13)),
inference(mrr,[status(thm)],[165,238,127]),
[iquote('0:MRR:165.0,165.1,238.0,127.0')] ).
cnf(246,plain,
v1_binop_1(u2_lattices(skc13),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[157,236,128]),
[iquote('0:MRR:157.0,157.1,236.0,128.0')] ).
cnf(247,plain,
v2_binop_1(u2_lattices(skc13),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[158,237,128]),
[iquote('0:MRR:158.0,158.1,237.0,128.0')] ).
cnf(248,plain,
v1_binop_1(u1_lattices(skc13),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[159,238,127]),
[iquote('0:MRR:159.0,159.1,238.0,127.0')] ).
cnf(249,plain,
v2_binop_1(u1_lattices(skc13),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[160,239,127]),
[iquote('0:MRR:160.0,160.1,239.0,127.0')] ).
cnf(250,plain,
r1_lattice2(u1_struct_0(skc13),u2_lattices(skc13),u1_lattices(skc13)),
inference(mrr,[status(thm)],[117,2,20]),
[iquote('0:MRR:117.0,117.1,2.0,20.0')] ).
cnf(251,plain,
r1_lattice2(u1_struct_0(skc13),u1_lattices(skc13),u2_lattices(skc13)),
inference(mrr,[status(thm)],[118,2,20]),
[iquote('0:MRR:118.0,118.1,2.0,20.0')] ).
cnf(252,plain,
m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13))),
inference(mrr,[status(thm)],[148,2,3,20]),
[iquote('0:MRR:148.0,148.1,148.2,2.0,3.0,20.0')] ).
cnf(259,plain,
( ~ v1_funct_1(u1_lattices(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v2_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14) ),
inference(mrr,[status(thm)],[232,29,55,19]),
[iquote('0:MRR:232.5,232.6,232.9,29.0,55.0,19.0')] ).
cnf(261,plain,
( ~ v1_funct_1(u1_lattices(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v1_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14) ),
inference(mrr,[status(thm)],[230,29,55,19]),
[iquote('0:MRR:230.5,230.6,230.9,29.0,55.0,19.0')] ).
cnf(266,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(k1_realset1(u,skc14))
| ~ m1_subset_1(skc14,k1_zfmisc_1(v))
| ~ r1_lattice2(v,u2_lattices(skc13),u)
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(v)
| r1_lattice2(skc14,skc15,k1_realset1(u,skc14)) ),
inference(mrr,[status(thm)],[199,1,37,38,19]),
[iquote('0:MRR:199.2,199.8,199.9,199.15,1.0,37.0,38.0,19.0')] ).
cnf(280,plain,
( ~ v1_funct_1(k1_realset1(skc15,skc14))
| ~ v1_binop_1(skc15,u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(skc15,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(skc15,k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(u)
| v1_binop_1(k1_realset1(skc15,skc14),skc14) ),
inference(res,[status(thm),theory(equality)],[1,177]),
[iquote('0:Res:1.0,177.0')] ).
cnf(282,plain,
( ~ v1_funct_1(k1_realset1(skc15,skc14))
| ~ v2_binop_1(skc15,u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(skc15,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(skc15,k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(u)
| v2_binop_1(k1_realset1(skc15,skc14),skc14) ),
inference(res,[status(thm),theory(equality)],[1,179]),
[iquote('0:Res:1.0,179.0')] ).
cnf(306,plain,
( ~ v1_binop_1(skc15,u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(skc15,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(skc15,k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(spt,[spt(split,[position(s1)])],[280]),
[iquote('1:Spt:280.1,280.2,280.3,280.4,280.7')] ).
cnf(312,plain,
( ~ v1_binop_1(skc15,skc14)
| ~ m1_subset_1(skc14,k1_zfmisc_1(skc14))
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14) ),
inference(res,[status(thm),theory(equality)],[37,306]),
[iquote('1:Res:37.0,306.3')] ).
cnf(317,plain,
( ~ v1_binop_1(skc15,skc14)
| ~ m1_subset_1(skc14,k1_zfmisc_1(skc14))
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14) ),
inference(mrr,[status(thm)],[312,19]),
[iquote('1:MRR:312.3,19.0')] ).
cnf(318,plain,
( ~ v1_binop_1(skc15,skc14)
| ~ m1_subset_1(skc14,k1_zfmisc_1(skc14)) ),
inference(mrr,[status(thm)],[317,38]),
[iquote('1:MRR:317.2,38.0')] ).
cnf(340,plain,
( ~ v1_relat_1(u2_lattices(skc13))
| v1_relat_1(skc15) ),
inference(spr,[status(thm),theory(equality)],[39,48]),
[iquote('0:SpR:39.0,48.1')] ).
cnf(341,plain,
v1_relat_1(skc15),
inference(ssi,[status(thm)],[340,41,2,3,241,240,239,238,237,236,128,127,244]),
[iquote('0:SSi:340.0,41.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,244.1')] ).
cnf(343,plain,
v1_funct_1(k1_realset1(skc15,u)),
inference(mrr,[status(thm)],[144,341]),
[iquote('0:MRR:144.0,341.0')] ).
cnf(360,plain,
( ~ l2_lattices(skc13)
| ~ v1_xboole_0(u1_struct_0(skc13)) ),
inference(sor,[status(thm)],[173,32]),
[iquote('0:SoR:173.0,32.1')] ).
cnf(362,plain,
~ v1_xboole_0(u1_struct_0(skc13)),
inference(ssi,[status(thm)],[360,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:360.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(363,plain,
r2_hidden(skf9(skc14),skc14),
inference(res,[status(thm),theory(equality)],[26,181]),
[iquote('0:Res:26.0,181.0')] ).
cnf(364,plain,
~ v1_xboole_0(skc14),
inference(res,[status(thm),theory(equality)],[363,50]),
[iquote('0:Res:363.0,50.1')] ).
cnf(385,plain,
( ~ r1_tarski(skc14,skc14)
| ~ v1_binop_1(skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[53,318]),
[iquote('1:Res:53.1,318.1')] ).
cnf(386,plain,
~ v1_binop_1(skc15,skc14),
inference(mrr,[status(thm)],[385,25]),
[iquote('1:MRR:385.0,25.0')] ).
cnf(402,plain,
( v1_xboole_0(u)
| r2_hidden(skf9(u),u) ),
inference(res,[status(thm),theory(equality)],[26,62]),
[iquote('0:Res:26.0,62.0')] ).
cnf(467,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[75,56]),
[iquote('0:Res:75.1,56.0')] ).
cnf(470,plain,
v1_relat_1(k1_realset1(u1_lattices(skc13),skc14)),
inference(res,[status(thm),theory(equality)],[54,467]),
[iquote('0:Res:54.0,467.0')] ).
cnf(683,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| ~ r2_hidden(w,v)
| v3_struct_0(u)
| m1_subset_1(w,u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[99,87]),
[iquote('0:Res:99.4,87.1')] ).
cnf(790,plain,
( ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(k1_realset1(u2_lattices(skc13),skc14))
| ~ v1_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(u2_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(u)
| v1_binop_1(k1_realset1(u2_lattices(skc13),skc14),skc14) ),
inference(spl,[status(thm),theory(equality)],[39,112]),
[iquote('0:SpL:39.0,112.6')] ).
cnf(792,plain,
( ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(skc15)
| ~ v1_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(u)
| v1_binop_1(skc15,skc14) ),
inference(rew,[status(thm),theory(equality)],[39,790]),
[iquote('0:Rew:39.0,790.10,39.0,790.7,39.0,790.1')] ).
cnf(793,plain,
( ~ v1_funct_1(skc15)
| ~ v1_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(u)
| v1_binop_1(skc15,skc14) ),
inference(ssi,[status(thm)],[792,41,2,3,241,240,239,238,237,236,128,127,244]),
[iquote('0:SSi:792.0,41.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,244.1')] ).
cnf(794,plain,
( ~ v1_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(mrr,[status(thm)],[793,1,38,37,364,386]),
[iquote('1:MRR:793.0,793.5,793.6,793.7,793.9,1.0,38.0,37.0,364.0,386.0')] ).
cnf(795,plain,
( ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(k1_realset1(u2_lattices(skc13),skc14))
| ~ v2_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(u2_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(u)
| v2_binop_1(k1_realset1(u2_lattices(skc13),skc14),skc14) ),
inference(spl,[status(thm),theory(equality)],[39,110]),
[iquote('0:SpL:39.0,110.6')] ).
cnf(797,plain,
( ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(skc15)
| ~ v2_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(u)
| v2_binop_1(skc15,skc14) ),
inference(rew,[status(thm),theory(equality)],[39,795]),
[iquote('0:Rew:39.0,795.10,39.0,795.7,39.0,795.1')] ).
cnf(798,plain,
( ~ v1_funct_1(skc15)
| ~ v2_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(u)
| v2_binop_1(skc15,skc14) ),
inference(ssi,[status(thm)],[797,41,2,3,241,240,239,238,237,236,128,127,244]),
[iquote('0:SSi:797.0,41.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,244.1')] ).
cnf(819,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(v)
| ~ v1_funct_1(k1_realset1(u2_lattices(skc13),skc14))
| ~ m1_subset_1(skc14,k1_zfmisc_1(w))
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(w,v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(k1_realset1(u2_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(w)
| r1_lattice2(skc14,u,k1_realset1(u2_lattices(skc13),skc14)) ),
inference(spl,[status(thm),theory(equality)],[39,113]),
[iquote('0:SpL:39.0,113.13')] ).
cnf(821,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(u2_lattices(skc13))
| ~ v1_funct_1(v)
| ~ v1_funct_1(skc15)
| ~ m1_subset_1(skc14,k1_zfmisc_1(w))
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(w,v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(w)
| r1_lattice2(skc14,u,skc15) ),
inference(rew,[status(thm),theory(equality)],[39,819]),
[iquote('0:Rew:39.0,819.17,39.0,819.14,39.0,819.3')] ).
cnf(822,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ v1_funct_1(skc15)
| ~ m1_subset_1(skc14,k1_zfmisc_1(w))
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(w,v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14)
| v1_xboole_0(w)
| r1_lattice2(skc14,u,skc15) ),
inference(ssi,[status(thm)],[821,41,2,3,241,240,239,238,237,236,128,127,244]),
[iquote('0:SSi:821.1,41.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,244.1')] ).
cnf(823,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_subset_1(skc14,k1_zfmisc_1(w))
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(w,v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(w,w),w)
| ~ m2_relset_1(v,k2_zfmisc_1(w,w),w)
| v1_xboole_0(w)
| r1_lattice2(skc14,u,skc15) ),
inference(mrr,[status(thm)],[822,1,37,38,364]),
[iquote('0:MRR:822.2,822.12,822.13,822.14,1.0,37.0,38.0,364.0')] ).
cnf(1018,plain,
( ~ l3_lattices(skc13)
| ~ v10_lattices(skc13)
| ~ r2_hidden(u,skf12(skc13))
| v3_struct_0(skc13)
| m1_subset_1(u,u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[243,683]),
[iquote('0:Res:243.0,683.2')] ).
cnf(1022,plain,
( ~ r2_hidden(u,skf12(skc13))
| v3_struct_0(skc13)
| m1_subset_1(u,u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[1018,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:1018.1,1018.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1023,plain,
( ~ r2_hidden(u,skf12(skc13))
| m1_subset_1(u,u1_struct_0(skc13)) ),
inference(mrr,[status(thm)],[1022,20]),
[iquote('0:MRR:1022.1,20.0')] ).
cnf(1028,plain,
( ~ r2_hidden(u,skf12(skc13))
| v1_xboole_0(u1_struct_0(skc13))
| r2_hidden(u,u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[1023,62]),
[iquote('0:Res:1023.1,62.0')] ).
cnf(1029,plain,
( ~ r2_hidden(u,skf12(skc13))
| r2_hidden(u,u1_struct_0(skc13)) ),
inference(mrr,[status(thm)],[1028,362]),
[iquote('0:MRR:1028.1,362.0')] ).
cnf(1032,plain,
( v1_xboole_0(skf12(skc13))
| r2_hidden(skf9(skf12(skc13)),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[402,1029]),
[iquote('0:Res:402.1,1029.0')] ).
cnf(1037,plain,
r2_hidden(skf9(skf12(skc13)),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[1032,28]),
[iquote('0:MRR:1032.0,28.0')] ).
cnf(1042,plain,
~ v1_xboole_0(u1_struct_0(skc13)),
inference(res,[status(thm),theory(equality)],[1037,50]),
[iquote('0:Res:1037.0,50.1')] ).
cnf(1062,plain,
( ~ l2_lattices(skc13)
| ~ v1_binop_1(u2_lattices(skc13),u1_struct_0(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[91,794]),
[iquote('1:Res:91.1,794.3')] ).
cnf(1063,plain,
( ~ v1_binop_1(u2_lattices(skc13),u1_struct_0(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[1062,2,3,241,240,239,238,237,236,128,127]),
[iquote('1:SSi:1062.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1064,plain,
~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[1063,246,252,1042]),
[iquote('1:MRR:1063.0,1063.1,1063.3,246.0,252.0,1042.0')] ).
cnf(1096,plain,
( ~ l1_lattices(skc13)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v1_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14) ),
inference(sor,[status(thm)],[261,40]),
[iquote('0:SoR:261.0,40.1')] ).
cnf(1098,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v1_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14) ),
inference(ssi,[status(thm)],[1096,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:1096.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1099,plain,
~ l2_lattices(skc13),
inference(res,[status(thm),theory(equality)],[92,1064]),
[iquote('1:Res:92.1,1064.0')] ).
cnf(1100,plain,
$false,
inference(ssi,[status(thm)],[1099,2,3,241,240,239,238,237,236,128,127]),
[iquote('1:SSi:1099.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1101,plain,
( ~ v1_funct_1(k1_realset1(skc15,skc14))
| ~ m2_relset_1(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_binop_1(k1_realset1(skc15,skc14),skc14) ),
inference(spt,[spt(split,[position(s2)])],[280]),
[iquote('1:Spt:1100.0,280.0,280.5,280.6,280.8')] ).
cnf(1103,plain,
( ~ v1_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v1_binop_1(skc15,skc14) ),
inference(mrr,[status(thm)],[793,1,38,37,364]),
[iquote('0:MRR:793.0,793.5,793.6,793.7,1.0,38.0,37.0,364.0')] ).
cnf(1104,plain,
( ~ v2_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v2_binop_1(skc15,skc14) ),
inference(mrr,[status(thm)],[798,1,38,37,364]),
[iquote('0:MRR:798.0,798.5,798.6,798.7,1.0,38.0,37.0,364.0')] ).
cnf(1106,plain,
( ~ v2_binop_1(skc15,u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(skc15,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(skc15,k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(u)
| v2_binop_1(k1_realset1(skc15,skc14),skc14) ),
inference(mrr,[status(thm)],[282,343]),
[iquote('0:MRR:282.0,343.0')] ).
cnf(1112,plain,
~ v2_binop_1(skc15,skc14),
inference(spt,[spt(split,[position(s2s1)])],[109]),
[iquote('2:Spt:109.0')] ).
cnf(1113,plain,
( ~ v2_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(mrr,[status(thm)],[1104,1112]),
[iquote('2:MRR:1104.5,1112.0')] ).
cnf(1135,plain,
( ~ l2_lattices(skc13)
| ~ v2_binop_1(u2_lattices(skc13),u1_struct_0(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[91,1113]),
[iquote('2:Res:91.1,1113.3')] ).
cnf(1136,plain,
( ~ v2_binop_1(u2_lattices(skc13),u1_struct_0(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[1135,2,3,241,240,239,238,237,236,128,127]),
[iquote('2:SSi:1135.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1137,plain,
~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[1136,247,252,1042]),
[iquote('2:MRR:1136.0,1136.1,1136.3,247.0,252.0,1042.0')] ).
cnf(1155,plain,
~ l2_lattices(skc13),
inference(res,[status(thm),theory(equality)],[92,1137]),
[iquote('2:Res:92.1,1137.0')] ).
cnf(1156,plain,
$false,
inference(ssi,[status(thm)],[1155,2,3,241,240,239,238,237,236,128,127]),
[iquote('2:SSi:1155.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1157,plain,
v2_binop_1(skc15,skc14),
inference(spt,[spt(split,[position(s2sa)])],[1156,1112]),
[iquote('2:Spt:1156.0,109.0,1112.0')] ).
cnf(1158,plain,
( ~ v1_binop_1(skc15,skc14)
| ~ v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(spt,[spt(split,[position(s2s2)])],[109]),
[iquote('2:Spt:1156.0,109.1,109.2,109.3,109.4,109.5')] ).
cnf(1233,plain,
( ~ v1_binop_1(u2_lattices(skc13),u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[1103]),
[iquote('3:Spt:1103.0,1103.1,1103.2,1103.3,1103.4')] ).
cnf(1234,plain,
( ~ l2_lattices(skc13)
| ~ v1_binop_1(u2_lattices(skc13),u1_struct_0(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[91,1233]),
[iquote('3:Res:91.1,1233.3')] ).
cnf(1235,plain,
( ~ v1_binop_1(u2_lattices(skc13),u1_struct_0(skc13))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[1234,2,3,241,240,239,238,237,236,128,127]),
[iquote('3:SSi:1234.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1236,plain,
~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[1235,246,252,1042]),
[iquote('3:MRR:1235.0,1235.1,1235.3,246.0,252.0,1042.0')] ).
cnf(1237,plain,
~ l2_lattices(skc13),
inference(res,[status(thm),theory(equality)],[92,1236]),
[iquote('3:Res:92.1,1236.0')] ).
cnf(1238,plain,
$false,
inference(ssi,[status(thm)],[1237,2,3,241,240,239,238,237,236,128,127]),
[iquote('3:SSi:1237.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1239,plain,
v1_binop_1(skc15,skc14),
inference(spt,[spt(split,[position(s2s2s2)])],[1103]),
[iquote('3:Spt:1238.0,1103.5')] ).
cnf(1240,plain,
( ~ v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(mrr,[status(thm)],[1158,1239]),
[iquote('3:MRR:1158.0,1239.0')] ).
cnf(1277,plain,
( ~ l1_lattices(skc13)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v2_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14) ),
inference(sor,[status(thm)],[259,40]),
[iquote('0:SoR:259.0,40.1')] ).
cnf(1279,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v2_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14) ),
inference(ssi,[status(thm)],[1277,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:1277.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1436,plain,
( ~ l2_lattices(skc13)
| ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(u1_struct_0(skc13),v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(res,[status(thm),theory(equality)],[92,823]),
[iquote('0:Res:92.1,823.8')] ).
cnf(1437,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(u1_struct_0(skc13),v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(ssi,[status(thm)],[1436,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:1436.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1438,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(u1_struct_0(skc13),v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(mrr,[status(thm)],[1437,252,1042]),
[iquote('0:MRR:1437.2,1437.10,252.0,1042.0')] ).
cnf(1506,plain,
( ~ v1_funct_1(u)
| ~ l2_lattices(skc13)
| ~ v1_funct_1(k1_realset1(u,skc14))
| ~ m1_subset_1(skc14,k1_zfmisc_1(v))
| ~ r1_lattice2(v,u2_lattices(skc13),u)
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(v)
| r1_lattice2(skc14,skc15,k1_realset1(u,skc14)) ),
inference(sor,[status(thm)],[266,41]),
[iquote('0:SoR:266.1,41.1')] ).
cnf(1508,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(k1_realset1(u,skc14))
| ~ m1_subset_1(skc14,k1_zfmisc_1(v))
| ~ r1_lattice2(v,u2_lattices(skc13),u)
| ~ m2_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(k1_realset1(u,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(v)
| r1_lattice2(skc14,skc15,k1_realset1(u,skc14)) ),
inference(ssi,[status(thm)],[1506,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:1506.1,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1785,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v1_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(spt,[spt(split,[position(s2s2s2s1)])],[1098]),
[iquote('4:Spt:1098.0,1098.1,1098.2,1098.3,1098.4')] ).
cnf(1786,plain,
( ~ l1_lattices(skc13)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ v1_binop_1(u1_lattices(skc13),u1_struct_0(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[89,1785]),
[iquote('4:Res:89.1,1785.3')] ).
cnf(1787,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ v1_binop_1(u1_lattices(skc13),u1_struct_0(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[1786,2,3,241,240,239,238,237,236,128,127]),
[iquote('4:SSi:1786.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1788,plain,
~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[1787,252,248,1042]),
[iquote('4:MRR:1787.0,1787.1,1787.3,252.0,248.0,1042.0')] ).
cnf(1789,plain,
~ l1_lattices(skc13),
inference(res,[status(thm),theory(equality)],[90,1788]),
[iquote('4:Res:90.1,1788.0')] ).
cnf(1790,plain,
$false,
inference(ssi,[status(thm)],[1789,2,3,241,240,239,238,237,236,128,127]),
[iquote('4:SSi:1789.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1791,plain,
v1_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14),
inference(spt,[spt(split,[position(s2s2s2s2)])],[1098]),
[iquote('4:Spt:1790.0,1098.5')] ).
cnf(1792,plain,
( ~ v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14)
| ~ r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(mrr,[status(thm)],[1240,1791]),
[iquote('4:MRR:1240.1,1791.0')] ).
cnf(1868,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ v2_binop_1(u1_lattices(skc13),u)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[1279]),
[iquote('5:Spt:1279.0,1279.1,1279.2,1279.3,1279.4')] ).
cnf(1869,plain,
( ~ l1_lattices(skc13)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ v2_binop_1(u1_lattices(skc13),u1_struct_0(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[89,1868]),
[iquote('5:Res:89.1,1868.3')] ).
cnf(1870,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ v2_binop_1(u1_lattices(skc13),u1_struct_0(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[1869,2,3,241,240,239,238,237,236,128,127]),
[iquote('5:SSi:1869.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1871,plain,
~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)),
inference(mrr,[status(thm)],[1870,252,249,1042]),
[iquote('5:MRR:1870.0,1870.1,1870.3,252.0,249.0,1042.0')] ).
cnf(1872,plain,
~ l1_lattices(skc13),
inference(res,[status(thm),theory(equality)],[90,1871]),
[iquote('5:Res:90.1,1871.0')] ).
cnf(1873,plain,
$false,
inference(ssi,[status(thm)],[1872,2,3,241,240,239,238,237,236,128,127]),
[iquote('5:SSi:1872.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(1874,plain,
v2_binop_1(k1_realset1(u1_lattices(skc13),skc14),skc14),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[1279]),
[iquote('5:Spt:1873.0,1279.5')] ).
cnf(1875,plain,
( ~ r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(mrr,[status(thm)],[1792,1874]),
[iquote('5:MRR:1792.0,1874.0')] ).
cnf(1881,plain,
( ~ v2_binop_1(skc15,u)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ m2_relset_1(skc15,k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(skc15,k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[1106]),
[iquote('6:Spt:1106.0,1106.1,1106.2,1106.3,1106.6')] ).
cnf(1882,plain,
( ~ v2_binop_1(skc15,skc14)
| ~ m1_subset_1(skc14,k1_zfmisc_1(skc14))
| ~ m2_relset_1(skc15,k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(skc14) ),
inference(res,[status(thm),theory(equality)],[37,1881]),
[iquote('6:Res:37.0,1881.3')] ).
cnf(1883,plain,
~ m1_subset_1(skc14,k1_zfmisc_1(skc14)),
inference(mrr,[status(thm)],[1882,1157,38,364]),
[iquote('6:MRR:1882.0,1882.2,1882.3,1157.0,38.0,364.0')] ).
cnf(1885,plain,
~ r1_tarski(skc14,skc14),
inference(res,[status(thm),theory(equality)],[53,1883]),
[iquote('6:Res:53.1,1883.0')] ).
cnf(1886,plain,
$false,
inference(mrr,[status(thm)],[1885,25]),
[iquote('6:MRR:1885.0,25.0')] ).
cnf(1887,plain,
( ~ m2_relset_1(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(k1_realset1(skc15,skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v2_binop_1(k1_realset1(skc15,skc14),skc14) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[1106]),
[iquote('6:Spt:1886.0,1106.4,1106.5,1106.7')] ).
cnf(2001,plain,
( ~ l2_lattices(skc13)
| ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(u1_struct_0(skc13),v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(res,[status(thm),theory(equality)],[91,1438]),
[iquote('0:Res:91.1,1438.7')] ).
cnf(2002,plain,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ equal(u,k1_realset1(v,skc14))
| ~ r1_lattice2(u1_struct_0(skc13),v,u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(v,k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(ssi,[status(thm)],[2001,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:2001.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(2076,plain,
( ~ v1_funct_1(u1_lattices(skc13))
| ~ v1_funct_1(k1_realset1(u1_lattices(skc13),skc14))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ r1_lattice2(u,u2_lattices(skc13),u1_lattices(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(u)
| r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14)) ),
inference(res,[status(thm),theory(equality)],[55,1508]),
[iquote('0:Res:55.0,1508.8')] ).
cnf(2077,plain,
( ~ v1_funct_1(k1_realset1(u1_lattices(skc13),skc14))
| ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ r1_lattice2(u,u2_lattices(skc13),u1_lattices(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| v1_xboole_0(u)
| r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14)) ),
inference(ssi,[status(thm)],[2076,40,2,3,241,240,239,238,237,236,128,127,245]),
[iquote('0:SSi:2076.0,40.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,245.1')] ).
cnf(2078,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ r1_lattice2(u,u2_lattices(skc13),u1_lattices(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u)
| r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14)) ),
inference(mrr,[status(thm)],[2077,29,54]),
[iquote('0:MRR:2077.0,2077.7,29.0,54.0')] ).
cnf(2768,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u))
| ~ r1_lattice2(u,u2_lattices(skc13),u1_lattices(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u1_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u,u),u)
| v1_xboole_0(u) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[2078]),
[iquote('7:Spt:2078.0,2078.1,2078.2,2078.3,2078.4,2078.5,2078.6')] ).
cnf(2769,plain,
( ~ l1_lattices(skc13)
| ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ r1_lattice2(u1_struct_0(skc13),u2_lattices(skc13),u1_lattices(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[89,2768]),
[iquote('7:Res:89.1,2768.3')] ).
cnf(2770,plain,
( ~ m1_subset_1(skc14,k1_zfmisc_1(u1_struct_0(skc13)))
| ~ r1_lattice2(u1_struct_0(skc13),u2_lattices(skc13),u1_lattices(skc13))
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| v1_xboole_0(u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[2769,2,3,241,240,239,238,237,236,128,127]),
[iquote('7:SSi:2769.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(2771,plain,
( ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ v1_funct_2(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)) ),
inference(mrr,[status(thm)],[2770,252,250,1042]),
[iquote('7:MRR:2770.0,2770.1,2770.5,252.0,250.0,1042.0')] ).
cnf(2783,plain,
( ~ l1_lattices(skc13)
| ~ v1_funct_1(u)
| ~ v1_funct_1(u1_lattices(skc13))
| ~ equal(u,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(u1_struct_0(skc13),u1_lattices(skc13),u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(res,[status(thm),theory(equality)],[89,2002]),
[iquote('0:Res:89.1,2002.6')] ).
cnf(2784,plain,
( ~ v1_funct_1(u)
| ~ equal(u,k1_realset1(u1_lattices(skc13),skc14))
| ~ r1_lattice2(u1_struct_0(skc13),u1_lattices(skc13),u2_lattices(skc13))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(ssi,[status(thm)],[2783,40,2,3,241,240,239,238,237,236,128,127,245]),
[iquote('0:SSi:2783.2,2783.0,40.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0,245.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.1')] ).
cnf(2785,plain,
( ~ v1_funct_1(u)
| ~ equal(u,k1_realset1(u1_lattices(skc13),skc14))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| r1_lattice2(skc14,u,skc15) ),
inference(mrr,[status(thm)],[2784,251]),
[iquote('0:MRR:2784.2,251.0')] ).
cnf(3621,plain,
( ~ l1_lattices(skc13)
| ~ v1_funct_1(u)
| ~ equal(u,k1_realset1(u1_lattices(skc13),skc14))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| r1_lattice2(skc14,u,skc15) ),
inference(res,[status(thm),theory(equality)],[90,2785]),
[iquote('0:Res:90.1,2785.4')] ).
cnf(3622,plain,
( ~ v1_funct_1(u)
| ~ equal(u,k1_realset1(u1_lattices(skc13),skc14))
| ~ m2_relset_1(u,k2_zfmisc_1(skc14,skc14),skc14)
| ~ v1_funct_2(u,k2_zfmisc_1(skc14,skc14),skc14)
| r1_lattice2(skc14,u,skc15) ),
inference(ssi,[status(thm)],[3621,2,3,241,240,239,238,237,236,128,127]),
[iquote('0:SSi:3621.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(4871,plain,
( ~ v1_funct_1(k1_realset1(u1_lattices(skc13),skc14))
| ~ equal(k1_realset1(u1_lattices(skc13),skc14),k1_realset1(u1_lattices(skc13),skc14))
| ~ m2_relset_1(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(res,[status(thm),theory(equality)],[55,3622]),
[iquote('0:Res:55.0,3622.3')] ).
cnf(4874,plain,
( ~ v1_funct_1(k1_realset1(u1_lattices(skc13),skc14))
| ~ m2_relset_1(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(obv,[status(thm),theory(equality)],[4871]),
[iquote('0:Obv:4871.1')] ).
cnf(4875,plain,
( ~ m2_relset_1(k1_realset1(u1_lattices(skc13),skc14),k2_zfmisc_1(skc14,skc14),skc14)
| r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15) ),
inference(ssi,[status(thm)],[4874,29,470]),
[iquote('0:SSi:4874.0,29.0,470.0')] ).
cnf(4876,plain,
r1_lattice2(skc14,k1_realset1(u1_lattices(skc13),skc14),skc15),
inference(mrr,[status(thm)],[4875,54]),
[iquote('0:MRR:4875.0,54.0')] ).
cnf(4877,plain,
~ r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14)),
inference(mrr,[status(thm)],[1875,4876]),
[iquote('5:MRR:1875.1,4876.0')] ).
cnf(4969,plain,
( ~ l2_lattices(skc13)
| ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[91,2771]),
[iquote('7:Res:91.1,2771.1')] ).
cnf(4970,plain,
( ~ m2_relset_1(u1_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13))
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)) ),
inference(ssi,[status(thm)],[4969,2,3,241,240,239,238,237,236,128,127]),
[iquote('7:SSi:4969.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(5559,plain,
( ~ l1_lattices(skc13)
| ~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)) ),
inference(res,[status(thm),theory(equality)],[90,4970]),
[iquote('7:Res:90.1,4970.0')] ).
cnf(5560,plain,
~ m2_relset_1(u2_lattices(skc13),k2_zfmisc_1(u1_struct_0(skc13),u1_struct_0(skc13)),u1_struct_0(skc13)),
inference(ssi,[status(thm)],[5559,2,3,241,240,239,238,237,236,128,127]),
[iquote('7:SSi:5559.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(5561,plain,
~ l2_lattices(skc13),
inference(res,[status(thm),theory(equality)],[92,5560]),
[iquote('7:Res:92.1,5560.0')] ).
cnf(5562,plain,
$false,
inference(ssi,[status(thm)],[5561,2,3,241,240,239,238,237,236,128,127]),
[iquote('7:SSi:5561.0,2.0,3.0,241.0,240.0,239.0,238.0,237.0,236.0,128.0,127.0')] ).
cnf(5563,plain,
r1_lattice2(skc14,skc15,k1_realset1(u1_lattices(skc13),skc14)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[2078]),
[iquote('7:Spt:5562.0,2078.7')] ).
cnf(5564,plain,
$false,
inference(mrr,[status(thm)],[5563,4877]),
[iquote('7:MRR:5563.0,4877.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LAT326+1 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n019.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 10:31:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.44/1.60
% 1.44/1.60 SPASS V 3.9
% 1.44/1.60 SPASS beiseite: Proof found.
% 1.44/1.60 % SZS status Theorem
% 1.44/1.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.44/1.60 SPASS derived 4598 clauses, backtracked 91 clauses, performed 39 splits and kept 2607 clauses.
% 1.44/1.60 SPASS allocated 103139 KBytes.
% 1.44/1.60 SPASS spent 0:00:01.27 on the problem.
% 1.44/1.60 0:00:00.04 for the input.
% 1.44/1.60 0:00:00.04 for the FLOTTER CNF translation.
% 1.44/1.60 0:00:00.13 for inferences.
% 1.44/1.60 0:00:00.01 for the backtracking.
% 1.44/1.60 0:00:00.91 for the reduction.
% 1.44/1.60
% 1.44/1.60
% 1.44/1.60 Here is a proof with depth 8, length 220 :
% 1.44/1.60 % SZS output start Refutation
% See solution above
% 1.44/1.63 Formulae used in the proof : t62_filter_2 reflexivity_r1_tarski existence_m1_subset_1 rc1_lattice4 rc2_xboole_0 dt_l2_lattices dt_l3_lattices dt_u1_lattices dt_u2_lattices fc1_realset1 t7_boole t3_subset cc1_relset_1 fc1_struct_0 t2_subset cc1_lattices fc2_realset1 dt_m2_relset_1 fc2_lattice2 fc4_lattice2 t4_subset fc3_lattice2 fc5_lattice2 t40_lattice2 t41_lattice2 dt_m2_lattice4 t1_filter_2 t5_filter_2
% 1.44/1.63
%------------------------------------------------------------------------------