TSTP Solution File: ALG219+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG219+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 : Thu Jul 14 18:03:02 EDT 2022
% Result : Theorem 6.53s 6.73s
% Output : Refutation 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 34
% Syntax : Number of clauses : 56 ( 27 unt; 21 nHn; 56 RR)
% Number of literals : 428 ( 0 equ; 328 neg)
% Maximal clause size : 31 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v3_rlvect_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(2,axiom,
v4_rlvect_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(3,axiom,
v5_rlvect_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(4,axiom,
v6_rlvect_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(5,axiom,
v4_group_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(6,axiom,
v7_group_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(7,axiom,
v6_vectsp_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(8,axiom,
v7_vectsp_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(9,axiom,
v8_vectsp_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(10,axiom,
v2_vectsp_2(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(11,axiom,
l3_vectsp_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(12,axiom,
v3_rlvect_1(skc14),
file('ALG219+1.p',unknown),
[] ).
cnf(13,axiom,
v4_rlvect_1(skc14),
file('ALG219+1.p',unknown),
[] ).
cnf(14,axiom,
v5_rlvect_1(skc14),
file('ALG219+1.p',unknown),
[] ).
cnf(15,axiom,
v6_rlvect_1(skc14),
file('ALG219+1.p',unknown),
[] ).
cnf(27,axiom,
~ v3_struct_0(skc14),
file('ALG219+1.p',unknown),
[] ).
cnf(28,axiom,
~ v3_struct_0(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(29,axiom,
~ v10_vectsp_1(skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(30,axiom,
v3_vectsp_2(skc14,skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(31,axiom,
v5_vectsp_2(skc14,skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(32,axiom,
l1_vectsp_2(skc14,skc13),
file('ALG219+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ l2_struct_0(u)
| l1_struct_0(u) ),
file('ALG219+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ l2_vectsp_1(u)
| l1_vectsp_1(u) ),
file('ALG219+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ l2_vectsp_1(u)
| l2_struct_0(u) ),
file('ALG219+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ l3_vectsp_1(u)
| l2_vectsp_1(u) ),
file('ALG219+1.p',unknown),
[] ).
cnf(54,axiom,
m1_subset_1(u1_struct_0(skc14),k1_zfmisc_1(u1_struct_0(skc14))),
file('ALG219+1.p',unknown),
[] ).
cnf(55,axiom,
~ equal(k2_group_1(skc13),k1_rlvect_1(skc13)),
file('ALG219+1.p',unknown),
[] ).
cnf(68,axiom,
~ equal(k1_rmod_5(skc13,skc14,u1_struct_0(skc14)),skc14),
file('ALG219+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ l1_struct_0(u)
| ~ l1_vectsp_2(v,u)
| l1_rlvect_1(v) ),
file('ALG219+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ v6_vectsp_1(u)
| ~ v7_group_1(u)
| ~ l1_vectsp_1(u)
| v3_struct_0(u)
| v2_group_1(u) ),
file('ALG219+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ l1_struct_0(u)
| ~ l1_vectsp_2(v,u)
| ~ v3_vectsp_2(v,u)
| equal(g1_vectsp_2(u,u1_struct_0(v),u1_rlvect_1(v),u2_struct_0(v),u1_vectsp_2(u,v)),v) ),
file('ALG219+1.p',unknown),
[] ).
cnf(123,axiom,
( ~ v3_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v6_rlvect_1(u)
| ~ l3_vectsp_1(v)
| ~ v8_vectsp_1(v)
| ~ v7_vectsp_1(v)
| ~ v6_vectsp_1(v)
| ~ v4_group_1(v)
| ~ v6_rlvect_1(v)
| ~ v5_rlvect_1(v)
| ~ v4_rlvect_1(v)
| ~ v3_rlvect_1(v)
| ~ l1_vectsp_2(u,v)
| ~ v5_vectsp_2(u,v)
| v3_struct_0(u)
| v3_struct_0(v)
| m1_rmod_2(k2_rmod_2(v,u),v,u) ),
file('ALG219+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l3_vectsp_1(v)
| ~ v8_vectsp_1(v)
| ~ v7_vectsp_1(v)
| ~ v6_vectsp_1(v)
| ~ v4_group_1(v)
| ~ v6_rlvect_1(v)
| ~ v5_rlvect_1(v)
| ~ v4_rlvect_1(v)
| ~ v3_rlvect_1(v)
| ~ l1_vectsp_2(u,v)
| ~ v5_vectsp_2(u,v)
| v3_struct_0(u)
| v3_struct_0(v)
| equal(g1_vectsp_2(v,u1_struct_0(u),u1_rlvect_1(u),u2_struct_0(u),u1_vectsp_2(v,u)),k2_rmod_2(v,u)) ),
file('ALG219+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l3_vectsp_1(v)
| ~ v2_vectsp_2(v)
| ~ v8_vectsp_1(v)
| ~ v7_vectsp_1(v)
| ~ v6_vectsp_1(v)
| ~ v7_group_1(v)
| ~ v4_group_1(v)
| ~ v6_rlvect_1(v)
| ~ v5_rlvect_1(v)
| ~ v4_rlvect_1(v)
| ~ v3_rlvect_1(v)
| ~ v3_vectsp_2(w,v)
| ~ l1_vectsp_2(u,v)
| ~ v5_vectsp_2(u,v)
| ~ equal(x,u1_struct_0(w))
| ~ m1_subset_1(x,k1_zfmisc_1(u1_struct_0(u)))
| ~ m1_rmod_2(w,v,u)
| v3_struct_0(u)
| v10_vectsp_1(v)
| v3_struct_0(v)
| equal(k2_group_1(v),k1_rlvect_1(v))
| equal(k1_rmod_5(v,u,x),w) ),
file('ALG219+1.p',unknown),
[] ).
cnf(294,plain,
( ~ v3_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v6_rlvect_1(u)
| ~ v4_group_1(u)
| ~ v6_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ l3_vectsp_1(u)
| ~ v6_rlvect_1(skc14)
| ~ v5_rlvect_1(skc14)
| ~ v3_rlvect_1(skc14)
| ~ v5_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| m1_rmod_2(k2_rmod_2(u,skc14),u,skc14)
| v3_struct_0(u)
| v3_struct_0(skc14) ),
inference(res,[status(thm),theory(equality)],[13,123]),
[iquote('0:Res:13.0,123.11')] ).
cnf(334,plain,
( ~ l3_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| v3_struct_0(u)
| m1_rmod_2(k2_rmod_2(u,skc14),u,skc14) ),
inference(mrr,[status(thm)],[294,15,14,12,27]),
[iquote('0:MRR:294.9,294.10,294.11,294.16,15.0,14.0,12.0,27.0')] ).
cnf(375,plain,
( ~ l1_struct_0(skc13)
| l1_rlvect_1(skc14) ),
inference(res,[status(thm),theory(equality)],[32,75]),
[iquote('0:Res:32.0,75.1')] ).
cnf(379,plain,
l1_rlvect_1(skc14),
inference(ssi,[status(thm)],[375,50,48,46,10,6,8,5,11,9,7,4,3,2,1]),
[iquote('0:SSi:375.0,50.0,48.0,46.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.1,2.1,1.1')] ).
cnf(446,plain,
( ~ v6_vectsp_1(skc13)
| ~ v7_group_1(skc13)
| ~ l1_vectsp_1(skc13)
| v2_group_1(skc13) ),
inference(res,[status(thm),theory(equality)],[90,28]),
[iquote('0:Res:90.3,28.0')] ).
cnf(452,plain,
v2_group_1(skc13),
inference(ssi,[status(thm)],[446,50,47,10,6,8,5,11,9,7,4,3,2,1]),
[iquote('0:SSi:446.2,446.1,446.0,50.0,47.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.1,1.1')] ).
cnf(1238,plain,
( ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l3_vectsp_1(v)
| ~ v8_vectsp_1(v)
| ~ v7_vectsp_1(v)
| ~ v6_vectsp_1(v)
| ~ v4_group_1(v)
| ~ v6_rlvect_1(v)
| ~ v5_rlvect_1(v)
| ~ v4_rlvect_1(v)
| ~ v3_rlvect_1(v)
| ~ l1_struct_0(v)
| ~ l1_vectsp_2(u,v)
| ~ v5_vectsp_2(u,v)
| ~ l1_vectsp_2(u,v)
| ~ v3_vectsp_2(u,v)
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k2_rmod_2(v,u),u) ),
inference(spr,[status(thm),theory(equality)],[136,96]),
[iquote('0:SpR:136.17,96.3')] ).
cnf(1251,plain,
( ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l3_vectsp_1(v)
| ~ v8_vectsp_1(v)
| ~ v7_vectsp_1(v)
| ~ v6_vectsp_1(v)
| ~ v4_group_1(v)
| ~ v6_rlvect_1(v)
| ~ v5_rlvect_1(v)
| ~ v4_rlvect_1(v)
| ~ v3_rlvect_1(v)
| ~ l1_struct_0(v)
| ~ v5_vectsp_2(u,v)
| ~ l1_vectsp_2(u,v)
| ~ v3_vectsp_2(u,v)
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k2_rmod_2(v,u),u) ),
inference(obv,[status(thm),theory(equality)],[1238]),
[iquote('0:Obv:1238.14')] ).
cnf(1252,plain,
( ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l3_vectsp_1(v)
| ~ v8_vectsp_1(v)
| ~ v7_vectsp_1(v)
| ~ v6_vectsp_1(v)
| ~ v4_group_1(v)
| ~ v6_rlvect_1(v)
| ~ v5_rlvect_1(v)
| ~ v4_rlvect_1(v)
| ~ v3_rlvect_1(v)
| ~ v5_vectsp_2(u,v)
| ~ l1_vectsp_2(u,v)
| ~ v3_vectsp_2(u,v)
| v3_struct_0(u)
| v3_struct_0(v)
| equal(k2_rmod_2(v,u),u) ),
inference(ssi,[status(thm)],[1251,50,48,46]),
[iquote('0:SSi:1251.13,50.1,48.1,46.1')] ).
cnf(1317,plain,
( ~ v6_rlvect_1(skc14)
| ~ v5_rlvect_1(skc14)
| ~ v4_rlvect_1(skc14)
| ~ v3_rlvect_1(skc14)
| ~ l3_vectsp_1(u)
| ~ v2_vectsp_2(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v7_group_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(v,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| ~ equal(u1_struct_0(skc14),u1_struct_0(v))
| ~ m1_rmod_2(v,u,skc14)
| v3_struct_0(skc14)
| v10_vectsp_1(u)
| v3_struct_0(u)
| equal(k2_group_1(u),k1_rlvect_1(u))
| equal(k1_rmod_5(u,skc14,u1_struct_0(skc14)),v) ),
inference(res,[status(thm),theory(equality)],[54,139]),
[iquote('0:Res:54.0,139.19')] ).
cnf(1320,plain,
( ~ l3_vectsp_1(u)
| ~ v2_vectsp_2(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v7_group_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(v,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| ~ equal(u1_struct_0(skc14),u1_struct_0(v))
| ~ m1_rmod_2(v,u,skc14)
| v3_struct_0(skc14)
| v10_vectsp_1(u)
| v3_struct_0(u)
| equal(k2_group_1(u),k1_rlvect_1(u))
| equal(k1_rmod_5(u,skc14,u1_struct_0(skc14)),v) ),
inference(ssi,[status(thm)],[1317,15,14,13,12,379]),
[iquote('0:SSi:1317.3,1317.2,1317.1,1317.0,15.0,14.0,13.0,12.0,379.0,15.0,14.0,13.0,12.0,379.0,15.0,14.0,13.0,12.0,379.0,15.0,14.0,13.0,12.0,379.0')] ).
cnf(1321,plain,
( ~ l3_vectsp_1(u)
| ~ v2_vectsp_2(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v7_group_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(v,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| ~ equal(u1_struct_0(skc14),u1_struct_0(v))
| ~ m1_rmod_2(v,u,skc14)
| v10_vectsp_1(u)
| v3_struct_0(u)
| equal(k2_group_1(u),k1_rlvect_1(u))
| equal(k1_rmod_5(u,skc14,u1_struct_0(skc14)),v) ),
inference(mrr,[status(thm)],[1320,27]),
[iquote('0:MRR:1320.16,27.0')] ).
cnf(2954,plain,
( ~ v6_rlvect_1(skc14)
| ~ v5_rlvect_1(skc14)
| ~ v4_rlvect_1(skc14)
| ~ v3_rlvect_1(skc14)
| ~ l3_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ l3_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v5_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v3_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| v3_struct_0(skc14)
| v3_struct_0(u)
| v3_struct_0(u)
| m1_rmod_2(skc14,u,skc14) ),
inference(spr,[status(thm),theory(equality)],[1252,334]),
[iquote('0:SpR:1252.18,334.12')] ).
cnf(2955,plain,
( ~ v6_rlvect_1(skc14)
| ~ v5_rlvect_1(skc14)
| ~ v4_rlvect_1(skc14)
| ~ v3_rlvect_1(skc14)
| ~ l3_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| v3_struct_0(skc14)
| v3_struct_0(u)
| m1_rmod_2(skc14,u,skc14) ),
inference(obv,[status(thm),theory(equality)],[2954]),
[iquote('0:Obv:2954.28')] ).
cnf(2956,plain,
( ~ l3_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| v3_struct_0(skc14)
| v3_struct_0(u)
| m1_rmod_2(skc14,u,skc14) ),
inference(ssi,[status(thm)],[2955,15,14,13,12,379]),
[iquote('0:SSi:2955.3,2955.2,2955.1,2955.0,15.0,14.0,13.0,12.0,379.0,15.0,14.0,13.0,12.0,379.0,15.0,14.0,13.0,12.0,379.0,15.0,14.0,13.0,12.0,379.0')] ).
cnf(2957,plain,
( ~ l3_vectsp_1(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| v3_struct_0(u)
| m1_rmod_2(skc14,u,skc14) ),
inference(mrr,[status(thm)],[2956,27]),
[iquote('0:MRR:2956.12,27.0')] ).
cnf(3701,plain,
( ~ l3_vectsp_1(u)
| ~ v2_vectsp_2(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v7_group_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| ~ m1_rmod_2(skc14,u,skc14)
| v10_vectsp_1(u)
| v3_struct_0(u)
| equal(k2_group_1(u),k1_rlvect_1(u))
| equal(k1_rmod_5(u,skc14,u1_struct_0(skc14)),skc14) ),
inference(eqr,[status(thm),theory(equality)],[1321]),
[iquote('0:EqR:1321.14')] ).
cnf(3702,plain,
( ~ l3_vectsp_1(u)
| ~ v2_vectsp_2(u)
| ~ v8_vectsp_1(u)
| ~ v7_vectsp_1(u)
| ~ v6_vectsp_1(u)
| ~ v7_group_1(u)
| ~ v4_group_1(u)
| ~ v6_rlvect_1(u)
| ~ v5_rlvect_1(u)
| ~ v4_rlvect_1(u)
| ~ v3_rlvect_1(u)
| ~ v3_vectsp_2(skc14,u)
| ~ l1_vectsp_2(skc14,u)
| ~ v5_vectsp_2(skc14,u)
| v10_vectsp_1(u)
| v3_struct_0(u)
| equal(k2_group_1(u),k1_rlvect_1(u))
| equal(k1_rmod_5(u,skc14,u1_struct_0(skc14)),skc14) ),
inference(mrr,[status(thm)],[3701,2957]),
[iquote('0:MRR:3701.14,2957.13')] ).
cnf(5752,plain,
( ~ l3_vectsp_1(skc13)
| ~ v2_vectsp_2(skc13)
| ~ v8_vectsp_1(skc13)
| ~ v7_vectsp_1(skc13)
| ~ v6_vectsp_1(skc13)
| ~ v7_group_1(skc13)
| ~ v4_group_1(skc13)
| ~ v6_rlvect_1(skc13)
| ~ v5_rlvect_1(skc13)
| ~ v4_rlvect_1(skc13)
| ~ v3_rlvect_1(skc13)
| ~ v3_vectsp_2(skc14,skc13)
| ~ l1_vectsp_2(skc14,skc13)
| ~ v5_vectsp_2(skc14,skc13)
| ~ equal(skc14,skc14)
| v10_vectsp_1(skc13)
| v3_struct_0(skc13)
| equal(k2_group_1(skc13),k1_rlvect_1(skc13)) ),
inference(spl,[status(thm),theory(equality)],[3702,68]),
[iquote('0:SpL:3702.17,68.0')] ).
cnf(5753,plain,
( ~ l3_vectsp_1(skc13)
| ~ v2_vectsp_2(skc13)
| ~ v8_vectsp_1(skc13)
| ~ v7_vectsp_1(skc13)
| ~ v6_vectsp_1(skc13)
| ~ v7_group_1(skc13)
| ~ v4_group_1(skc13)
| ~ v6_rlvect_1(skc13)
| ~ v5_rlvect_1(skc13)
| ~ v4_rlvect_1(skc13)
| ~ v3_rlvect_1(skc13)
| ~ v3_vectsp_2(skc14,skc13)
| ~ l1_vectsp_2(skc14,skc13)
| ~ v5_vectsp_2(skc14,skc13)
| v10_vectsp_1(skc13)
| v3_struct_0(skc13)
| equal(k2_group_1(skc13),k1_rlvect_1(skc13)) ),
inference(obv,[status(thm),theory(equality)],[5752]),
[iquote('0:Obv:5752.14')] ).
cnf(5754,plain,
( ~ v3_vectsp_2(skc14,skc13)
| ~ l1_vectsp_2(skc14,skc13)
| ~ v5_vectsp_2(skc14,skc13)
| v10_vectsp_1(skc13)
| v3_struct_0(skc13)
| equal(k2_group_1(skc13),k1_rlvect_1(skc13)) ),
inference(ssi,[status(thm)],[5753,10,6,8,5,11,9,7,4,3,2,1,452]),
[iquote('0:SSi:5753.10,5753.9,5753.8,5753.7,5753.6,5753.5,5753.4,5753.3,5753.2,5753.1,5753.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0,10.0,6.0,8.0,5.0,11.0,9.0,7.0,4.0,3.0,2.0,1.0,452.0')] ).
cnf(5755,plain,
$false,
inference(mrr,[status(thm)],[5754,30,32,31,29,28,55]),
[iquote('0:MRR:5754.0,5754.1,5754.2,5754.3,5754.4,5754.5,30.0,32.0,31.0,29.0,28.0,55.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG219+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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 : Wed Jun 8 02:01:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.53/6.73
% 6.53/6.73 SPASS V 3.9
% 6.53/6.73 SPASS beiseite: Proof found.
% 6.53/6.73 % SZS status Theorem
% 6.53/6.73 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.53/6.73 SPASS derived 4589 clauses, backtracked 0 clauses, performed 0 splits and kept 3385 clauses.
% 6.53/6.73 SPASS allocated 107594 KBytes.
% 6.53/6.73 SPASS spent 0:00:06.39 on the problem.
% 6.53/6.73 0:00:00.03 for the input.
% 6.53/6.73 0:00:00.11 for the FLOTTER CNF translation.
% 6.53/6.73 0:00:00.16 for inferences.
% 6.53/6.73 0:00:00.00 for the backtracking.
% 6.53/6.73 0:00:05.90 for the reduction.
% 6.53/6.73
% 6.53/6.73
% 6.53/6.73 Here is a proof with depth 3, length 56 :
% 6.53/6.73 % SZS output start Refutation
% See solution above
% 6.61/6.87 Formulae used in the proof : t14_rmod_5 dt_l2_struct_0 dt_l2_vectsp_1 dt_l3_vectsp_1 dt_l1_vectsp_2 cc3_vectsp_2 abstractness_v3_vectsp_2 dt_k2_rmod_2 d4_rmod_2 t13_rmod_5
% 6.61/6.87
%------------------------------------------------------------------------------