TSTP Solution File: GRP628+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 : Sat Jul 16 11:48:24 EDT 2022
% Result : Theorem 0.70s 0.87s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of clauses : 80 ( 22 unt; 35 nHn; 80 RR)
% Number of literals : 286 ( 0 equ; 174 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_group_1(skc15),
file('GRP628+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc15),
file('GRP628+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc15),
file('GRP628+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc15),
file('GRP628+1.p',unknown),
[] ).
cnf(32,axiom,
~ v3_struct_0(skc15),
file('GRP628+1.p',unknown),
[] ).
cnf(46,axiom,
m1_subset_1(skc16,u1_struct_0(k5_autgroup(skc15))),
file('GRP628+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ l1_group_1(u)
| v1_funct_1(u1_group_1(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(61,axiom,
m2_fraenkel(skc16,u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15)),
file('GRP628+1.p',unknown),
[] ).
cnf(62,axiom,
~ equal(k3_group_1(k5_autgroup(skc15),skc16),k2_funct_1(skc16)),
file('GRP628+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('GRP628+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ v3_group_1(u)
| ~ l1_group_1(u)
| v3_struct_0(u)
| v2_group_1(u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ m2_relset_1(u,v,w)
| m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w))) ),
file('GRP628+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ v1_group_1(u)
| ~ l1_group_1(u)
| equal(g1_group_1(u1_struct_0(u),u1_group_1(u)),u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ l1_group_1(u)
| v1_funct_2(u1_group_1(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ l1_group_1(u)
| m2_relset_1(u1_group_1(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ m1_fraenkel(u,v,w)
| ~ m2_fraenkel(x,v,w,u)
| v1_xboole_0(w)
| m1_subset_1(x,u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ m1_subset_1(u,v)
| ~ m1_fraenkel(v,w,x)
| v1_xboole_0(x)
| m2_fraenkel(u,w,x,v) ),
file('GRP628+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| v1_group_1(k3_autgroup(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| v3_group_1(k3_autgroup(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| v4_group_1(k3_autgroup(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| l1_group_1(k3_autgroup(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ v3_struct_0(k3_autgroup(u))
| v3_struct_0(u) ),
file('GRP628+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| m1_group_2(k5_autgroup(u),k3_autgroup(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(w,u1_struct_0(v))
| v3_struct_0(u)
| m1_subset_1(w,u1_struct_0(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| m1_fraenkel(k1_autgroup(u),u1_struct_0(u),u1_struct_0(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ v1_funct_1(u)
| ~ v3_struct_0(g1_group_1(v,u))
| ~ m1_relset_1(u,k2_zfmisc_1(v,v),v)
| ~ v1_funct_2(u,k2_zfmisc_1(v,v),v)
| v1_xboole_0(v) ),
file('GRP628+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m2_fraenkel(v,u1_struct_0(u),u1_struct_0(u),k4_autgroup(u))
| v3_struct_0(u)
| m2_fraenkel(v,u1_struct_0(u),u1_struct_0(u),k1_autgroup(u)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ v3_group_1(u)
| ~ v4_group_1(u)
| ~ l1_group_1(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_group_2(w,u)
| ~ m1_subset_1(v,u1_struct_0(w))
| v3_struct_0(u)
| equal(k3_group_1(w,v),k3_group_1(u,v)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m1_subset_1(v,u1_struct_0(k3_autgroup(u)))
| ~ m2_fraenkel(v,u1_struct_0(u),u1_struct_0(u),k1_autgroup(u))
| v3_struct_0(u)
| equal(k3_group_1(k3_autgroup(u),v),k2_funct_1(v)) ),
file('GRP628+1.p',unknown),
[] ).
cnf(139,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(v,u)
| ~ m1_subset_1(w,u1_struct_0(v))
| v3_struct_0(u)
| equal(k3_group_1(v,w),k3_group_1(u,w)) ),
inference(mrr,[status(thm)],[135,120]),
[iquote('0:MRR:135.3,120.5')] ).
cnf(147,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| v3_struct_0(skc15)
| m1_fraenkel(k1_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[4,122]),
[iquote('0:Res:4.0,122.3')] ).
cnf(151,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| m1_group_2(k5_autgroup(skc15),k3_autgroup(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,118]),
[iquote('0:Res:4.0,118.3')] ).
cnf(152,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| ~ v3_struct_0(k3_autgroup(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,115]),
[iquote('0:Res:4.0,115.3')] ).
cnf(155,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| v1_group_1(k3_autgroup(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,108]),
[iquote('0:Res:4.0,108.3')] ).
cnf(156,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| v3_group_1(k3_autgroup(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,109]),
[iquote('0:Res:4.0,109.3')] ).
cnf(157,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| v4_group_1(k3_autgroup(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,110]),
[iquote('0:Res:4.0,110.3')] ).
cnf(158,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| l1_group_1(k3_autgroup(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,111]),
[iquote('0:Res:4.0,111.3')] ).
cnf(177,plain,
( ~ v3_group_1(skc15)
| v2_group_1(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,78]),
[iquote('0:Res:4.0,78.0')] ).
cnf(179,plain,
l1_struct_0(skc15),
inference(res,[status(thm),theory(equality)],[4,48]),
[iquote('0:Res:4.0,48.0')] ).
cnf(248,plain,
( ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| ~ l1_group_1(skc15)
| ~ m2_fraenkel(u,u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15))
| v3_struct_0(skc15)
| m2_fraenkel(u,u1_struct_0(skc15),u1_struct_0(skc15),k1_autgroup(skc15)) ),
inference(res,[status(thm),theory(equality)],[1,134]),
[iquote('0:Res:1.0,134.0')] ).
cnf(299,plain,
( ~ l1_struct_0(skc15)
| ~ v1_xboole_0(u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[72,32]),
[iquote('0:Res:72.2,32.0')] ).
cnf(302,plain,
v2_group_1(skc15),
inference(mrr,[status(thm)],[177,2,32]),
[iquote('0:MRR:177.0,177.2,2.0,32.0')] ).
cnf(303,plain,
~ v1_xboole_0(u1_struct_0(skc15)),
inference(mrr,[status(thm)],[299,179]),
[iquote('0:MRR:299.0,179.0')] ).
cnf(323,plain,
v1_group_1(k3_autgroup(skc15)),
inference(mrr,[status(thm)],[155,1,2,3,32]),
[iquote('0:MRR:155.0,155.1,155.2,155.4,1.0,2.0,3.0,32.0')] ).
cnf(324,plain,
v3_group_1(k3_autgroup(skc15)),
inference(mrr,[status(thm)],[156,1,2,3,32]),
[iquote('0:MRR:156.0,156.1,156.2,156.4,1.0,2.0,3.0,32.0')] ).
cnf(325,plain,
v4_group_1(k3_autgroup(skc15)),
inference(mrr,[status(thm)],[157,1,2,3,32]),
[iquote('0:MRR:157.0,157.1,157.2,157.4,1.0,2.0,3.0,32.0')] ).
cnf(326,plain,
l1_group_1(k3_autgroup(skc15)),
inference(mrr,[status(thm)],[158,1,2,3,32]),
[iquote('0:MRR:158.0,158.1,158.2,158.4,1.0,2.0,3.0,32.0')] ).
cnf(328,plain,
~ v3_struct_0(k3_autgroup(skc15)),
inference(mrr,[status(thm)],[152,1,2,3,32]),
[iquote('0:MRR:152.0,152.1,152.2,152.4,1.0,2.0,3.0,32.0')] ).
cnf(330,plain,
m1_group_2(k5_autgroup(skc15),k3_autgroup(skc15)),
inference(mrr,[status(thm)],[151,1,2,3,32]),
[iquote('0:MRR:151.0,151.1,151.2,151.4,1.0,2.0,3.0,32.0')] ).
cnf(331,plain,
m1_fraenkel(k1_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[147,1,2,3,32]),
[iquote('0:MRR:147.0,147.1,147.2,147.3,1.0,2.0,3.0,32.0')] ).
cnf(339,plain,
( ~ m2_fraenkel(u,u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15))
| m2_fraenkel(u,u1_struct_0(skc15),u1_struct_0(skc15),k1_autgroup(skc15)) ),
inference(mrr,[status(thm)],[248,2,3,4,32]),
[iquote('0:MRR:248.0,248.1,248.2,248.4,2.0,3.0,4.0,32.0')] ).
cnf(402,plain,
( ~ m2_relset_1(u,v,w)
| v1_relat_1(u) ),
inference(res,[status(thm),theory(equality)],[80,69]),
[iquote('0:Res:80.1,69.0')] ).
cnf(430,plain,
( ~ l1_group_1(u)
| v1_relat_1(u1_group_1(u)) ),
inference(res,[status(thm),theory(equality)],[86,402]),
[iquote('0:Res:86.1,402.0')] ).
cnf(431,plain,
( ~ l1_group_1(u)
| m1_relset_1(u1_group_1(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[86,74]),
[iquote('0:Res:86.1,74.0')] ).
cnf(844,plain,
( ~ l1_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(k5_autgroup(skc15),u)
| v3_struct_0(u)
| m1_subset_1(skc16,u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[46,120]),
[iquote('0:Res:46.0,120.3')] ).
cnf(996,plain,
( ~ l1_group_1(u)
| ~ v1_funct_1(u1_group_1(u))
| ~ v3_struct_0(g1_group_1(u1_struct_0(u),u1_group_1(u)))
| ~ m1_relset_1(u1_group_1(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| v1_xboole_0(u1_struct_0(u)) ),
inference(res,[status(thm),theory(equality)],[85,129]),
[iquote('0:Res:85.1,129.3')] ).
cnf(999,plain,
( ~ l1_group_1(u)
| ~ v3_struct_0(g1_group_1(u1_struct_0(u),u1_group_1(u)))
| ~ m1_relset_1(u1_group_1(u),k2_zfmisc_1(u1_struct_0(u),u1_struct_0(u)),u1_struct_0(u))
| v1_xboole_0(u1_struct_0(u)) ),
inference(ssi,[status(thm)],[996,49,430]),
[iquote('0:SSi:996.1,49.1,430.1')] ).
cnf(1000,plain,
( ~ l1_group_1(u)
| ~ v3_struct_0(g1_group_1(u1_struct_0(u),u1_group_1(u)))
| v1_xboole_0(u1_struct_0(u)) ),
inference(mrr,[status(thm)],[999,431]),
[iquote('0:MRR:999.2,431.1')] ).
cnf(1030,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ m1_group_2(k5_autgroup(skc15),u)
| v3_struct_0(u)
| equal(k3_group_1(k5_autgroup(skc15),skc16),k3_group_1(u,skc16)) ),
inference(res,[status(thm),theory(equality)],[46,139]),
[iquote('0:Res:46.0,139.4')] ).
cnf(1179,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m1_subset_1(v,k1_autgroup(u))
| ~ m1_fraenkel(k1_autgroup(u),u1_struct_0(u),u1_struct_0(u))
| ~ m1_subset_1(v,u1_struct_0(k3_autgroup(u)))
| v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u)
| equal(k3_group_1(k3_autgroup(u),v),k2_funct_1(v)) ),
inference(res,[status(thm),theory(equality)],[104,136]),
[iquote('0:Res:104.3,136.5')] ).
cnf(1182,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m1_subset_1(v,k1_autgroup(u))
| ~ m1_subset_1(v,u1_struct_0(k3_autgroup(u)))
| v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u)
| equal(k3_group_1(k3_autgroup(u),v),k2_funct_1(v)) ),
inference(mrr,[status(thm)],[1179,122]),
[iquote('0:MRR:1179.5,122.5')] ).
cnf(1217,plain,
( ~ v1_group_1(u)
| ~ l1_group_1(u)
| ~ l1_group_1(u)
| ~ v3_struct_0(u)
| v1_xboole_0(u1_struct_0(u)) ),
inference(spl,[status(thm),theory(equality)],[84,1000]),
[iquote('0:SpL:84.2,1000.1')] ).
cnf(1218,plain,
( ~ v1_group_1(u)
| ~ l1_group_1(u)
| ~ v3_struct_0(u)
| v1_xboole_0(u1_struct_0(u)) ),
inference(obv,[status(thm),theory(equality)],[1217]),
[iquote('0:Obv:1217.1')] ).
cnf(1229,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| ~ m1_subset_1(v,k1_autgroup(u))
| ~ m1_subset_1(v,u1_struct_0(k3_autgroup(u)))
| v1_xboole_0(u1_struct_0(u))
| equal(k3_group_1(k3_autgroup(u),v),k2_funct_1(v)) ),
inference(mrr,[status(thm)],[1182,1218]),
[iquote('0:MRR:1182.7,1218.2')] ).
cnf(1388,plain,
( ~ m2_fraenkel(u,u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15))
| ~ m1_fraenkel(k1_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| v1_xboole_0(u1_struct_0(skc15))
| m1_subset_1(u,k1_autgroup(skc15)) ),
inference(res,[status(thm),theory(equality)],[339,103]),
[iquote('0:Res:339.1,103.1')] ).
cnf(1391,plain,
( ~ m2_fraenkel(u,u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15))
| m1_subset_1(u,k1_autgroup(skc15)) ),
inference(mrr,[status(thm)],[1388,331,303]),
[iquote('0:MRR:1388.1,1388.2,331.0,303.0')] ).
cnf(1401,plain,
m1_subset_1(skc16,k1_autgroup(skc15)),
inference(res,[status(thm),theory(equality)],[61,1391]),
[iquote('0:Res:61.0,1391.0')] ).
cnf(1415,plain,
( ~ l1_group_1(k3_autgroup(skc15))
| ~ v3_group_1(k3_autgroup(skc15))
| v3_struct_0(k3_autgroup(skc15))
| m1_subset_1(skc16,u1_struct_0(k3_autgroup(skc15))) ),
inference(res,[status(thm),theory(equality)],[330,844]),
[iquote('0:Res:330.0,844.2')] ).
cnf(1417,plain,
( v3_struct_0(k3_autgroup(skc15))
| m1_subset_1(skc16,u1_struct_0(k3_autgroup(skc15))) ),
inference(ssi,[status(thm)],[1415,323,325,324,326]),
[iquote('0:SSi:1415.1,1415.0,323.0,325.0,324.0,326.0,323.0,325.0,324.0,326.0')] ).
cnf(1418,plain,
m1_subset_1(skc16,u1_struct_0(k3_autgroup(skc15))),
inference(mrr,[status(thm)],[1417,328]),
[iquote('0:MRR:1417.0,328.0')] ).
cnf(1713,plain,
( ~ l1_group_1(k3_autgroup(skc15))
| ~ v4_group_1(k3_autgroup(skc15))
| ~ v3_group_1(k3_autgroup(skc15))
| v3_struct_0(k3_autgroup(skc15))
| equal(k3_group_1(k3_autgroup(skc15),skc16),k3_group_1(k5_autgroup(skc15),skc16)) ),
inference(res,[status(thm),theory(equality)],[330,1030]),
[iquote('0:Res:330.0,1030.3')] ).
cnf(1715,plain,
( v3_struct_0(k3_autgroup(skc15))
| equal(k3_group_1(k3_autgroup(skc15),skc16),k3_group_1(k5_autgroup(skc15),skc16)) ),
inference(ssi,[status(thm)],[1713,323,325,324,326]),
[iquote('0:SSi:1713.2,1713.1,1713.0,323.0,325.0,324.0,326.0,323.0,325.0,324.0,326.0,323.0,325.0,324.0,326.0')] ).
cnf(1716,plain,
equal(k3_group_1(k3_autgroup(skc15),skc16),k3_group_1(k5_autgroup(skc15),skc16)),
inference(mrr,[status(thm)],[1715,328]),
[iquote('0:MRR:1715.0,328.0')] ).
cnf(2741,plain,
( ~ l1_group_1(skc15)
| ~ v4_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v1_group_1(skc15)
| ~ m1_subset_1(skc16,k1_autgroup(skc15))
| v1_xboole_0(u1_struct_0(skc15))
| equal(k3_group_1(k3_autgroup(skc15),skc16),k2_funct_1(skc16)) ),
inference(res,[status(thm),theory(equality)],[1418,1229]),
[iquote('0:Res:1418.0,1229.5')] ).
cnf(2742,plain,
( ~ l1_group_1(skc15)
| ~ v4_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v1_group_1(skc15)
| ~ m1_subset_1(skc16,k1_autgroup(skc15))
| v1_xboole_0(u1_struct_0(skc15))
| equal(k3_group_1(k5_autgroup(skc15),skc16),k2_funct_1(skc16)) ),
inference(rew,[status(thm),theory(equality)],[1716,2741]),
[iquote('0:Rew:1716.0,2741.6')] ).
cnf(2743,plain,
( ~ m1_subset_1(skc16,k1_autgroup(skc15))
| v1_xboole_0(u1_struct_0(skc15))
| equal(k3_group_1(k5_autgroup(skc15),skc16),k2_funct_1(skc16)) ),
inference(ssi,[status(thm)],[2742,1,3,2,4,179,302]),
[iquote('0:SSi:2742.3,2742.2,2742.1,2742.0,1.0,3.0,2.0,4.0,179.0,302.0,1.0,3.0,2.0,4.0,179.0,302.0,1.0,3.0,2.0,4.0,179.0,302.0,1.0,3.0,2.0,4.0,179.0,302.0')] ).
cnf(2744,plain,
$false,
inference(mrr,[status(thm)],[2743,1401,303,62]),
[iquote('0:MRR:2743.0,2743.1,2743.2,1401.0,303.0,62.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP628+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 14:11:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/0.87
% 0.70/0.87 SPASS V 3.9
% 0.70/0.87 SPASS beiseite: Proof found.
% 0.70/0.87 % SZS status Theorem
% 0.70/0.87 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.87 SPASS derived 1940 clauses, backtracked 0 clauses, performed 2 splits and kept 1044 clauses.
% 0.70/0.87 SPASS allocated 100382 KBytes.
% 0.70/0.87 SPASS spent 0:00:00.51 on the problem.
% 0.70/0.87 0:00:00.03 for the input.
% 0.70/0.87 0:00:00.04 for the FLOTTER CNF translation.
% 0.70/0.87 0:00:00.04 for inferences.
% 0.70/0.87 0:00:00.00 for the backtracking.
% 0.70/0.87 0:00:00.35 for the reduction.
% 0.70/0.87
% 0.70/0.87
% 0.70/0.87 Here is a proof with depth 3, length 80 :
% 0.70/0.87 % SZS output start Refutation
% See solution above
% 0.72/0.89 Formulae used in the proof : t22_autgroup dt_l1_group_1 dt_u1_group_1 cc1_relset_1 fc1_struct_0 redefinition_m2_relset_1 cc1_group_1 dt_m2_relset_1 abstractness_v1_group_1 redefinition_m2_fraenkel dt_k3_autgroup dt_k5_autgroup t51_group_2 dt_k1_autgroup fc1_group_1 t13_autgroup t57_group_2 t11_autgroup
% 0.72/0.89
%------------------------------------------------------------------------------