TSTP Solution File: GRP632+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP632+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 11:48:27 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 38
% Syntax : Number of clauses : 96 ( 39 unt; 24 nHn; 96 RR)
% Number of literals : 246 ( 0 equ; 134 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-6 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v1_group_1(skc15),
file('GRP632+1.p',unknown),
[] ).
cnf(2,axiom,
v3_group_1(skc15),
file('GRP632+1.p',unknown),
[] ).
cnf(3,axiom,
v4_group_1(skc15),
file('GRP632+1.p',unknown),
[] ).
cnf(4,axiom,
l1_group_1(skc15),
file('GRP632+1.p',unknown),
[] ).
cnf(32,axiom,
~ v3_struct_0(skc15),
file('GRP632+1.p',unknown),
[] ).
cnf(36,axiom,
v1_relat_1(k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(37,axiom,
v1_funct_1(k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(38,axiom,
v1_relat_2(k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(39,axiom,
v3_relat_2(k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(40,axiom,
v4_relat_2(k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(41,axiom,
v8_relat_2(k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(62,axiom,
v1_partfun1(k6_partfun1(u),u,u),
file('GRP632+1.p',unknown),
[] ).
cnf(63,axiom,
m2_relset_1(k6_partfun1(u),u,u),
file('GRP632+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ l1_group_1(u)
| l1_struct_0(u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(71,axiom,
equal(k6_partfun1(u),k6_relat_1(u)),
file('GRP632+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ m1_fraenkel(u,v,w)
| v1_fraenkel(u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(84,axiom,
m2_fraenkel(skc16,u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15)),
file('GRP632+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ v1_fraenkel(u)
| ~ m1_subset_1(v,u)
| v1_relat_1(v) ),
file('GRP632+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('GRP632+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('GRP632+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ v3_group_1(u)
| ~ l1_group_1(u)
| v3_struct_0(u)
| v2_group_1(u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ l1_group_1(u)
| v3_struct_0(u)
| m1_subset_1(k2_group_1(u),u1_struct_0(u)) ),
file('GRP632+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ m1_fraenkel(u,v,w)
| ~ m2_fraenkel(x,v,w,u)
| v1_xboole_0(w)
| v1_funct_1(x) ),
file('GRP632+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ m2_relset_1(u,v,w)
| equal(k7_relset_1(v,v,v,w,k6_partfun1(v),u),u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ m2_relset_1(u,v,w)
| equal(k7_relset_1(v,w,w,w,u,k6_partfun1(w)),u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ m1_fraenkel(u,v,w)
| ~ m2_fraenkel(x,v,w,u)
| v1_xboole_0(w)
| m1_subset_1(x,u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ v1_funct_1(u)
| ~ m1_relset_1(u,v,w)
| ~ v1_partfun1(u,v,w)
| v1_funct_2(u,v,w) ),
file('GRP632+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ m1_fraenkel(u,v,w)
| ~ m2_fraenkel(x,v,w,u)
| v1_xboole_0(w)
| v1_funct_2(x,v,w) ),
file('GRP632+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ m1_fraenkel(u,v,w)
| ~ m2_fraenkel(x,v,w,u)
| v1_xboole_0(w)
| m2_relset_1(x,v,w) ),
file('GRP632+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ m1_relset_1(u,v,w)
| ~ m1_relset_1(x,y,z)
| equal(k7_relset_1(y,z,v,w,x,u),k5_relat_1(x,u)) ),
file('GRP632+1.p',unknown),
[] ).
cnf(125,axiom,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| m1_fraenkel(k4_autgroup(u),u1_struct_0(u),u1_struct_0(u)) ),
file('GRP632+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ v1_group_1(u)
| ~ v3_group_1(u)
| ~ v4_group_1(u)
| ~ l1_group_1(u)
| v3_struct_0(u)
| equal(k6_autgroup(u,k2_group_1(u)),k6_partfun1(u1_struct_0(u))) ),
file('GRP632+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ v1_relat_2(u)
| ~ v1_funct_1(u)
| ~ v1_funct_2(u,v,v)
| ~ m1_relset_1(u,v,v)
| ~ v1_partfun1(u,v,v)
| v2_funct_1(u) ),
file('GRP632+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ v1_group_1(u)
| ~ v3_group_1(u)
| ~ v4_group_1(u)
| ~ l1_group_1(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| m2_fraenkel(k6_autgroup(u,v),u1_struct_0(u),u1_struct_0(u),k4_autgroup(u)) ),
file('GRP632+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),k6_autgroup(skc15,k2_group_1(skc15)),skc16),skc16)
| ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),skc16,k6_autgroup(skc15,k2_group_1(skc15))),skc16) ),
file('GRP632+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ v1_funct_1(u)
| ~ v1_funct_1(v)
| ~ m1_relset_1(v,w,x)
| ~ v1_funct_2(v,w,x)
| ~ v1_funct_2(u,x,y)
| ~ m1_relset_1(u,x,y)
| v1_xboole_0(x)
| equal(k7_funct_2(w,x,y,v,u),k5_relat_1(v,u)) ),
file('GRP632+1.p',unknown),
[] ).
cnf(145,plain,
m2_relset_1(k6_relat_1(u),u,u),
inference(rew,[status(thm),theory(equality)],[71,63]),
[iquote('0:Rew:71.0,63.0')] ).
cnf(146,plain,
v1_partfun1(k6_relat_1(u),u,u),
inference(rew,[status(thm),theory(equality)],[71,62]),
[iquote('0:Rew:71.0,62.0')] ).
cnf(148,plain,
( ~ m2_relset_1(u,v,w)
| equal(k7_relset_1(v,w,w,w,u,k6_relat_1(w)),u) ),
inference(rew,[status(thm),theory(equality)],[71,112]),
[iquote('0:Rew:71.0,112.1')] ).
cnf(149,plain,
( ~ m2_relset_1(u,v,w)
| equal(k7_relset_1(v,v,v,w,k6_relat_1(v),u),u) ),
inference(rew,[status(thm),theory(equality)],[71,111]),
[iquote('0:Rew:71.0,111.1')] ).
cnf(152,plain,
( ~ l1_group_1(u)
| ~ v4_group_1(u)
| ~ v3_group_1(u)
| ~ v1_group_1(u)
| v3_struct_0(u)
| equal(k6_autgroup(u,k2_group_1(u)),k6_relat_1(u1_struct_0(u))) ),
inference(rew,[status(thm),theory(equality)],[71,129]),
[iquote('0:Rew:71.0,129.5')] ).
cnf(153,plain,
( ~ v1_funct_1(u)
| ~ v1_relat_2(u)
| ~ v1_partfun1(u,v,v)
| ~ m1_relset_1(u,v,v)
| v2_funct_1(u) ),
inference(mrr,[status(thm)],[132,117]),
[iquote('0:MRR:132.2,117.3')] ).
cnf(160,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| v3_struct_0(skc15)
| equal(k6_autgroup(skc15,k2_group_1(skc15)),k6_relat_1(u1_struct_0(skc15))) ),
inference(res,[status(thm),theory(equality)],[4,152]),
[iquote('0:Res:4.0,152.3')] ).
cnf(161,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| v3_struct_0(skc15)
| m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[4,125]),
[iquote('0:Res:4.0,125.3')] ).
cnf(165,plain,
( ~ v3_group_1(skc15)
| v2_group_1(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[4,98]),
[iquote('0:Res:4.0,98.0')] ).
cnf(166,plain,
( v3_struct_0(skc15)
| m1_subset_1(k2_group_1(skc15),u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[4,99]),
[iquote('0:Res:4.0,99.0')] ).
cnf(168,plain,
l1_struct_0(skc15),
inference(res,[status(thm),theory(equality)],[4,64]),
[iquote('0:Res:4.0,64.0')] ).
cnf(185,plain,
( ~ l1_struct_0(skc15)
| ~ v1_xboole_0(u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[92,32]),
[iquote('0:Res:92.2,32.0')] ).
cnf(187,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[84,118]),
[iquote('0:Res:84.0,118.1')] ).
cnf(188,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| m2_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[84,119]),
[iquote('0:Res:84.0,119.1')] ).
cnf(189,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| v1_funct_1(skc16)
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[84,109]),
[iquote('0:Res:84.0,109.1')] ).
cnf(190,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| m1_subset_1(skc16,k4_autgroup(skc15))
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[84,115]),
[iquote('0:Res:84.0,115.0')] ).
cnf(191,plain,
v2_group_1(skc15),
inference(mrr,[status(thm)],[165,2,32]),
[iquote('0:MRR:165.0,165.2,2.0,32.0')] ).
cnf(192,plain,
m1_subset_1(k2_group_1(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[166,32]),
[iquote('0:MRR:166.0,32.0')] ).
cnf(193,plain,
~ v1_xboole_0(u1_struct_0(skc15)),
inference(mrr,[status(thm)],[185,168]),
[iquote('0:MRR:185.0,168.0')] ).
cnf(196,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| v1_funct_1(skc16) ),
inference(mrr,[status(thm)],[189,193]),
[iquote('0:MRR:189.2,193.0')] ).
cnf(197,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| m1_subset_1(skc16,k4_autgroup(skc15)) ),
inference(mrr,[status(thm)],[190,193]),
[iquote('0:MRR:190.2,193.0')] ).
cnf(198,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15)) ),
inference(mrr,[status(thm)],[187,193]),
[iquote('0:MRR:187.2,193.0')] ).
cnf(199,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| m2_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15)) ),
inference(mrr,[status(thm)],[188,193]),
[iquote('0:MRR:188.2,193.0')] ).
cnf(200,plain,
m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[161,1,2,3,32]),
[iquote('0:MRR:161.0,161.1,161.2,161.3,1.0,2.0,3.0,32.0')] ).
cnf(201,plain,
v1_funct_1(skc16),
inference(mrr,[status(thm)],[196,200]),
[iquote('0:MRR:196.0,200.0')] ).
cnf(202,plain,
m1_subset_1(skc16,k4_autgroup(skc15)),
inference(mrr,[status(thm)],[197,200]),
[iquote('0:MRR:197.0,200.0')] ).
cnf(203,plain,
v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[198,200]),
[iquote('0:MRR:198.0,200.0')] ).
cnf(204,plain,
m2_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[199,200]),
[iquote('0:MRR:199.0,200.0')] ).
cnf(205,plain,
equal(k6_autgroup(skc15,k2_group_1(skc15)),k6_relat_1(u1_struct_0(skc15))),
inference(mrr,[status(thm)],[160,1,2,3,32]),
[iquote('0:MRR:160.0,160.1,160.2,160.3,1.0,2.0,3.0,32.0')] ).
cnf(206,plain,
( ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),k6_relat_1(u1_struct_0(skc15)),skc16),skc16)
| ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),skc16,k6_autgroup(skc15,k2_group_1(skc15))),skc16) ),
inference(rew,[status(thm),theory(equality)],[205,140]),
[iquote('0:Rew:205.0,140.0')] ).
cnf(208,plain,
( ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),skc16,k6_relat_1(u1_struct_0(skc15))),skc16)
| ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),k6_relat_1(u1_struct_0(skc15)),skc16),skc16) ),
inference(rew,[status(thm),theory(equality)],[205,206]),
[iquote('0:Rew:205.0,206.1')] ).
cnf(227,plain,
v1_fraenkel(k4_autgroup(skc15)),
inference(res,[status(thm),theory(equality)],[200,81]),
[iquote('0:Res:200.0,81.0')] ).
cnf(236,plain,
( ~ v1_fraenkel(k4_autgroup(skc15))
| v1_relat_1(skc16) ),
inference(res,[status(thm),theory(equality)],[202,89]),
[iquote('0:Res:202.0,89.1')] ).
cnf(242,plain,
v1_relat_1(skc16),
inference(ssi,[status(thm)],[236,227]),
[iquote('0:SSi:236.0,227.0')] ).
cnf(256,plain,
( v1_xboole_0(u1_struct_0(skc15))
| r2_hidden(k2_group_1(skc15),u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[192,96]),
[iquote('0:Res:192.0,96.0')] ).
cnf(261,plain,
r2_hidden(k2_group_1(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[256,193]),
[iquote('0:MRR:256.0,193.0')] ).
cnf(266,plain,
~ v1_xboole_0(u1_struct_0(skc15)),
inference(res,[status(thm),theory(equality)],[261,83]),
[iquote('0:Res:261.0,83.1')] ).
cnf(275,plain,
m1_relset_1(k6_relat_1(u),u,u),
inference(res,[status(thm),theory(equality)],[145,94]),
[iquote('0:Res:145.0,94.0')] ).
cnf(277,plain,
m1_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15)),
inference(res,[status(thm),theory(equality)],[204,94]),
[iquote('0:Res:204.0,94.0')] ).
cnf(532,plain,
( ~ v1_funct_1(k6_relat_1(u))
| ~ v1_relat_2(k6_relat_1(u))
| ~ m1_relset_1(k6_relat_1(u),u,u)
| v2_funct_1(k6_relat_1(u)) ),
inference(res,[status(thm),theory(equality)],[146,153]),
[iquote('0:Res:146.0,153.2')] ).
cnf(535,plain,
( ~ m1_relset_1(k6_relat_1(u),u,u)
| v2_funct_1(k6_relat_1(u)) ),
inference(ssi,[status(thm)],[532,40,41,39,38,36,37]),
[iquote('0:SSi:532.1,532.0,40.0,41.0,39.0,38.0,36.0,37.0,40.0,41.0,39.0,38.0,36.0,37.0')] ).
cnf(536,plain,
v2_funct_1(k6_relat_1(u)),
inference(mrr,[status(thm)],[535,275]),
[iquote('0:MRR:535.0,275.0')] ).
cnf(620,plain,
( ~ m1_relset_1(u,v,w)
| ~ m1_relset_1(k6_relat_1(v),v,v)
| ~ m2_relset_1(u,v,w)
| equal(k5_relat_1(k6_relat_1(v),u),u) ),
inference(spr,[status(thm),theory(equality)],[124,149]),
[iquote('0:SpR:124.2,149.1')] ).
cnf(621,plain,
( ~ m1_relset_1(k6_relat_1(u),u,u)
| ~ m1_relset_1(v,w,u)
| ~ m2_relset_1(v,w,u)
| equal(k5_relat_1(v,k6_relat_1(u)),v) ),
inference(spr,[status(thm),theory(equality)],[124,148]),
[iquote('0:SpR:124.2,148.1')] ).
cnf(623,plain,
( ~ m2_relset_1(u,v,w)
| equal(k5_relat_1(u,k6_relat_1(w)),u) ),
inference(mrr,[status(thm)],[621,275,94]),
[iquote('0:MRR:621.0,621.1,275.0,94.1')] ).
cnf(624,plain,
( ~ m2_relset_1(u,v,w)
| equal(k5_relat_1(k6_relat_1(v),u),u) ),
inference(mrr,[status(thm)],[620,94,275]),
[iquote('0:MRR:620.0,620.1,94.1,275.0')] ).
cnf(674,plain,
equal(k5_relat_1(skc16,k6_relat_1(u1_struct_0(skc15))),skc16),
inference(res,[status(thm),theory(equality)],[204,623]),
[iquote('0:Res:204.0,623.0')] ).
cnf(711,plain,
equal(k5_relat_1(k6_relat_1(u1_struct_0(skc15)),skc16),skc16),
inference(res,[status(thm),theory(equality)],[204,624]),
[iquote('0:Res:204.0,624.0')] ).
cnf(800,plain,
( ~ v1_group_1(skc15)
| ~ v3_group_1(skc15)
| ~ v4_group_1(skc15)
| ~ l1_group_1(skc15)
| ~ m1_subset_1(k2_group_1(skc15),u1_struct_0(skc15))
| v3_struct_0(skc15)
| m2_fraenkel(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15)) ),
inference(spr,[status(thm),theory(equality)],[205,139]),
[iquote('0:SpR:205.0,139.6')] ).
cnf(806,plain,
( ~ m1_subset_1(k2_group_1(skc15),u1_struct_0(skc15))
| v3_struct_0(skc15)
| m2_fraenkel(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15)) ),
inference(ssi,[status(thm)],[800,3,2,1,4,191,168]),
[iquote('0:SSi:800.3,800.2,800.1,800.0,3.0,2.0,1.0,4.0,191.0,168.0,3.0,2.0,1.0,4.0,191.0,168.0,3.0,2.0,1.0,4.0,191.0,168.0,3.0,2.0,1.0,4.0,191.0,168.0')] ).
cnf(807,plain,
m2_fraenkel(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15),k4_autgroup(skc15)),
inference(mrr,[status(thm)],[806,192,32]),
[iquote('0:MRR:806.0,806.1,192.0,32.0')] ).
cnf(814,plain,
( ~ m1_fraenkel(k4_autgroup(skc15),u1_struct_0(skc15),u1_struct_0(skc15))
| v1_xboole_0(u1_struct_0(skc15))
| v1_funct_2(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15)) ),
inference(res,[status(thm),theory(equality)],[807,118]),
[iquote('0:Res:807.0,118.1')] ).
cnf(819,plain,
v1_funct_2(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15)),
inference(mrr,[status(thm)],[814,200,266]),
[iquote('0:MRR:814.0,814.1,200.0,266.0')] ).
cnf(1004,plain,
( ~ v1_funct_1(skc16)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(skc15)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| ~ m1_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| ~ equal(k7_funct_2(u1_struct_0(skc15),u1_struct_0(skc15),u1_struct_0(skc15),skc16,k6_relat_1(u1_struct_0(skc15))),skc16)
| ~ equal(k5_relat_1(k6_relat_1(u1_struct_0(skc15)),skc16),skc16)
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(spl,[status(thm),theory(equality)],[144,208]),
[iquote('0:SpL:144.7,208.1')] ).
cnf(1005,plain,
( ~ v1_funct_1(skc16)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(skc15)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| ~ m1_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| ~ equal(skc16,skc16)
| ~ equal(skc16,skc16)
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(rew,[status(thm),theory(equality)],[711,1004,674,144]),
[iquote('0:Rew:711.0,1004.7,674.0,1004.6,144.7,1004.6')] ).
cnf(1006,plain,
( ~ v1_funct_1(skc16)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(skc15)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| ~ m1_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(obv,[status(thm),theory(equality)],[1005]),
[iquote('0:Obv:1005.7')] ).
cnf(1007,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(skc15)),u1_struct_0(skc15),u1_struct_0(skc15))
| ~ v1_funct_2(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| ~ m1_relset_1(skc16,u1_struct_0(skc15),u1_struct_0(skc15))
| v1_xboole_0(u1_struct_0(skc15)) ),
inference(ssi,[status(thm)],[1006,40,41,39,38,36,37,536,201,242]),
[iquote('0:SSi:1006.1,1006.0,40.0,41.0,39.0,38.0,36.0,37.0,536.0,201.0,242.0')] ).
cnf(1008,plain,
$false,
inference(mrr,[status(thm)],[1007,275,819,203,277,266]),
[iquote('0:MRR:1007.0,1007.1,1007.2,1007.3,1007.4,275.0,819.0,203.0,277.0,266.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP632+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 21:43:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.56
% 0.19/0.56 SPASS V 3.9
% 0.19/0.56 SPASS beiseite: Proof found.
% 0.19/0.56 % SZS status Theorem
% 0.19/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.56 SPASS derived 664 clauses, backtracked 0 clauses, performed 0 splits and kept 512 clauses.
% 0.19/0.56 SPASS allocated 98734 KBytes.
% 0.19/0.56 SPASS spent 0:00:00.21 on the problem.
% 0.19/0.56 0:00:00.04 for the input.
% 0.19/0.56 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.56 0:00:00.02 for inferences.
% 0.19/0.56 0:00:00.00 for the backtracking.
% 0.19/0.56 0:00:00.08 for the reduction.
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 Here is a proof with depth 3, length 96 :
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.57 Formulae used in the proof : t30_autgroup fc2_partfun1 dt_k6_partfun1 dt_l1_group_1 redefinition_k6_partfun1 dt_m1_fraenkel t7_boole cc1_fraenkel fc1_struct_0 redefinition_m2_relset_1 t2_subset cc1_group_1 dt_k2_group_1 dt_m2_fraenkel t23_funct_2 redefinition_m2_fraenkel cc1_funct_2 redefinition_k7_relset_1 dt_k4_autgroup t24_autgroup cc4_funct_2 dt_k6_autgroup redefinition_k7_funct_2
% 0.19/0.57
%------------------------------------------------------------------------------