TSTP Solution File: SEU425+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU425+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Tue Jul 19 14:37:18 EDT 2022
% Result : Theorem 0.72s 0.91s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 34
% Syntax : Number of clauses : 100 ( 32 unt; 4 nHn; 100 RR)
% Number of literals : 221 ( 0 equ; 138 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
v1_xboole_0(k1_xboole_0),
file('SEU425+1.p',unknown),
[] ).
cnf(12,axiom,
v1_xboole_0(skf13(u)),
file('SEU425+1.p',unknown),
[] ).
cnf(13,axiom,
r1_tarski(u,u),
file('SEU425+1.p',unknown),
[] ).
cnf(14,axiom,
m1_subset_1(skf9(u),u),
file('SEU425+1.p',unknown),
[] ).
cnf(15,axiom,
~ v1_xboole_0(k1_zfmisc_1(u)),
file('SEU425+1.p',unknown),
[] ).
cnf(17,axiom,
v1_relat_1(skf12(u,v)),
file('SEU425+1.p',unknown),
[] ).
cnf(18,axiom,
v1_funct_1(skf12(u,v)),
file('SEU425+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ v1_xboole_0(u)
| v1_relat_1(u) ),
file('SEU425+1.p',unknown),
[] ).
cnf(21,axiom,
m1_subset_1(skf13(u),k1_zfmisc_1(u)),
file('SEU425+1.p',unknown),
[] ).
cnf(22,axiom,
m1_subset_1(skc7,k1_zfmisc_1(k2_zfmisc_1(skc6,skc8))),
file('SEU425+1.p',unknown),
[] ).
cnf(23,axiom,
( skP0(u,v)
| equal(v,k1_xboole_0) ),
file('SEU425+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ v1_xboole_0(u)
| v1_xboole_0(k1_relat_1(u)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ v1_xboole_0(u)
| v1_xboole_0(k2_relat_1(u)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(32,axiom,
m1_relset_1(skf12(u,v),v,u),
file('SEU425+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ v1_xboole_0(u)
| equal(u,k1_xboole_0) ),
file('SEU425+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ equal(u,k1_xboole_0)
| skP0(u,v) ),
file('SEU425+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ v1_relat_1(u)
| v1_relat_1(k5_relset_2(v,u)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ v1_relat_1(u)
| v1_funct_1(k5_relset_2(v,u)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| r1_tarski(u,v) ),
file('SEU425+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ r1_tarski(u,v)
| m1_subset_1(u,k1_zfmisc_1(v)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| v1_relat_1(u) ),
file('SEU425+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ v1_relat_1(u)
| ~ v1_xboole_0(k1_relat_1(u))
| v1_xboole_0(u) ),
file('SEU425+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ v1_relat_1(u)
| ~ v1_xboole_0(k2_relat_1(u))
| v1_xboole_0(u) ),
file('SEU425+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('SEU425+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('SEU425+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ m1_relset_1(u,v,w)
| m1_subset_1(k4_relset_1(v,w,u),k1_zfmisc_1(v)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ m1_relset_1(u,v,w)
| equal(k4_relset_1(v,w,u),k1_relat_1(u)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ r2_hidden(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| m1_subset_1(u,w) ),
file('SEU425+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,w)
| ~ m1_subset_1(w,k1_zfmisc_1(u)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k2_zfmisc_1(v,w)))
| r1_tarski(k2_relat_1(k5_relset_2(v,u)),k1_zfmisc_1(k2_relat_1(u))) ),
file('SEU425+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ v1_relat_1(u)
| ~ r1_tarski(k1_relat_1(u),v)
| ~ r1_tarski(k2_relat_1(u),w)
| m2_relset_1(u,v,w) ),
file('SEU425+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ v1_relat_1(u)
| ~ v1_relat_1(v)
| ~ v1_funct_1(v)
| ~ equal(v,k5_relset_2(w,u))
| equal(k1_relat_1(v),k1_zfmisc_1(w)) ),
file('SEU425+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ skP0(u,v)
| ~ equal(k4_relset_1(u,v,w),u)
| ~ m2_relset_1(w,u,v)
| v1_funct_2(w,u,v) ),
file('SEU425+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ v1_funct_1(k5_relset_2(skc6,skc7))
| ~ m2_relset_1(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ v1_funct_2(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7))) ),
file('SEU425+1.p',unknown),
[] ).
cnf(65,plain,
( ~ m1_relset_1(u,v,w)
| m1_subset_1(k1_relat_1(u),k1_zfmisc_1(v)) ),
inference(rew,[status(thm),theory(equality)],[52,51]),
[iquote('0:Rew:52.1,51.1')] ).
cnf(68,plain,
r1_tarski(k2_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(k2_relat_1(skc7))),
inference(res,[status(thm),theory(equality)],[22,55]),
[iquote('0:Res:22.0,55.0')] ).
cnf(69,plain,
v1_relat_1(skc7),
inference(res,[status(thm),theory(equality)],[22,42]),
[iquote('0:Res:22.0,42.0')] ).
cnf(73,plain,
equal(skf13(u),k1_xboole_0),
inference(ems,[status(thm)],[33,12]),
[iquote('0:EmS:33.0,12.0')] ).
cnf(79,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(u)),
inference(rew,[status(thm),theory(equality)],[73,21]),
[iquote('0:Rew:73.0,21.0')] ).
cnf(82,plain,
( ~ v1_xboole_0(u)
| equal(k2_relat_1(u),k1_xboole_0) ),
inference(ems,[status(thm)],[33,29]),
[iquote('0:EmS:33.0,29.1')] ).
cnf(85,plain,
( ~ v1_xboole_0(u)
| equal(k1_relat_1(u),k1_xboole_0) ),
inference(ems,[status(thm)],[33,27]),
[iquote('0:EmS:33.0,27.1')] ).
cnf(96,plain,
r1_tarski(k1_xboole_0,u),
inference(res,[status(thm),theory(equality)],[79,40]),
[iquote('0:Res:79.0,40.0')] ).
cnf(121,plain,
m1_subset_1(k1_relat_1(skf12(u,v)),k1_zfmisc_1(v)),
inference(res,[status(thm),theory(equality)],[32,65]),
[iquote('0:Res:32.0,65.0')] ).
cnf(146,plain,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,k1_relat_1(skf12(w,u))) ),
inference(res,[status(thm),theory(equality)],[121,54]),
[iquote('0:Res:121.0,54.2')] ).
cnf(155,plain,
( ~ r1_tarski(u,v)
| ~ r2_hidden(w,u)
| m1_subset_1(w,v) ),
inference(res,[status(thm),theory(equality)],[41,53]),
[iquote('0:Res:41.1,53.1')] ).
cnf(165,plain,
( ~ v1_xboole_0(u)
| ~ m1_subset_1(v,k1_relat_1(skf12(w,u)))
| v1_xboole_0(k1_relat_1(skf12(w,u))) ),
inference(res,[status(thm),theory(equality)],[48,146]),
[iquote('0:Res:48.2,146.1')] ).
cnf(191,plain,
( ~ v1_xboole_0(u)
| ~ v1_relat_1(u)
| ~ r1_tarski(k1_xboole_0,v)
| ~ r1_tarski(k2_relat_1(u),w)
| m2_relset_1(u,v,w) ),
inference(spl,[status(thm),theory(equality)],[85,56]),
[iquote('0:SpL:85.1,56.1')] ).
cnf(197,plain,
( ~ v1_xboole_0(u)
| ~ v1_relat_1(u)
| ~ r1_tarski(k1_xboole_0,v)
| ~ r1_tarski(k1_xboole_0,w)
| m2_relset_1(u,v,w) ),
inference(rew,[status(thm),theory(equality)],[82,191]),
[iquote('0:Rew:82.1,191.3')] ).
cnf(198,plain,
( ~ v1_xboole_0(u)
| ~ r1_tarski(k1_xboole_0,v)
| ~ r1_tarski(k1_xboole_0,w)
| m2_relset_1(u,v,w) ),
inference(ssi,[status(thm)],[197,19]),
[iquote('0:SSi:197.1,19.1')] ).
cnf(199,plain,
( ~ v1_xboole_0(u)
| m2_relset_1(u,v,w) ),
inference(mrr,[status(thm)],[198,96]),
[iquote('0:MRR:198.1,198.2,96.0,96.0')] ).
cnf(210,plain,
( ~ v1_relat_1(u)
| ~ v1_relat_1(k5_relset_2(v,u))
| ~ v1_funct_1(k5_relset_2(v,u))
| equal(k1_relat_1(k5_relset_2(v,u)),k1_zfmisc_1(v)) ),
inference(eqr,[status(thm),theory(equality)],[57]),
[iquote('0:EqR:57.3')] ).
cnf(211,plain,
( ~ v1_relat_1(u)
| equal(k1_relat_1(k5_relset_2(v,u)),k1_zfmisc_1(v)) ),
inference(ssi,[status(thm)],[210,36,35]),
[iquote('0:SSi:210.2,210.1,36.1,35.1,36.1,35.1')] ).
cnf(212,plain,
( ~ v1_relat_1(u)
| ~ v1_xboole_0(k5_relset_2(v,u))
| equal(k1_zfmisc_1(v),k1_xboole_0) ),
inference(spr,[status(thm),theory(equality)],[211,85]),
[iquote('0:SpR:211.1,85.1')] ).
cnf(215,plain,
( ~ v1_relat_1(u)
| ~ v1_relat_1(k5_relset_2(v,u))
| ~ r1_tarski(k1_zfmisc_1(v),w)
| ~ r1_tarski(k2_relat_1(k5_relset_2(v,u)),x)
| m2_relset_1(k5_relset_2(v,u),w,x) ),
inference(spl,[status(thm),theory(equality)],[211,56]),
[iquote('0:SpL:211.1,56.1')] ).
cnf(216,plain,
( ~ v1_relat_1(u)
| ~ r1_tarski(k1_zfmisc_1(v),w)
| ~ r1_tarski(k2_relat_1(k5_relset_2(v,u)),x)
| m2_relset_1(k5_relset_2(v,u),w,x) ),
inference(ssi,[status(thm)],[215,36,35]),
[iquote('0:SSi:215.1,36.1,35.1')] ).
cnf(261,plain,
( ~ m1_relset_1(u,v,w)
| ~ skP0(v,w)
| ~ equal(k1_relat_1(u),v)
| ~ m2_relset_1(u,v,w)
| v1_funct_2(u,v,w) ),
inference(spl,[status(thm),theory(equality)],[52,60]),
[iquote('0:SpL:52.1,60.1')] ).
cnf(262,plain,
( ~ skP0(u,v)
| ~ equal(k1_relat_1(w),u)
| ~ m2_relset_1(w,u,v)
| v1_funct_2(w,u,v) ),
inference(mrr,[status(thm)],[261,46]),
[iquote('0:MRR:261.0,46.1')] ).
cnf(322,plain,
( ~ r2_hidden(u,k2_relat_1(k5_relset_2(skc6,skc7)))
| m1_subset_1(u,k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(res,[status(thm),theory(equality)],[68,155]),
[iquote('0:Res:68.0,155.0')] ).
cnf(341,plain,
( ~ m1_subset_1(u,k2_relat_1(k5_relset_2(skc6,skc7)))
| v1_xboole_0(k2_relat_1(k5_relset_2(skc6,skc7)))
| m1_subset_1(u,k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(res,[status(thm),theory(equality)],[48,322]),
[iquote('0:Res:48.2,322.0')] ).
cnf(599,plain,
( ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6))
| ~ m2_relset_1(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ v1_funct_1(k5_relset_2(skc6,skc7))
| ~ m2_relset_1(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(res,[status(thm),theory(equality)],[262,62]),
[iquote('0:Res:262.3,62.2')] ).
cnf(601,plain,
( ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6))
| ~ v1_funct_1(k5_relset_2(skc6,skc7))
| ~ m2_relset_1(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(obv,[status(thm),theory(equality)],[599]),
[iquote('0:Obv:599.2')] ).
cnf(930,plain,
( ~ v1_xboole_0(u)
| v1_xboole_0(k1_relat_1(skf12(v,u))) ),
inference(res,[status(thm),theory(equality)],[14,165]),
[iquote('0:Res:14.0,165.1')] ).
cnf(954,plain,
( ~ v1_xboole_0(u)
| ~ v1_relat_1(skf12(v,u))
| v1_xboole_0(skf12(v,u)) ),
inference(res,[status(thm),theory(equality)],[930,44]),
[iquote('0:Res:930.1,44.1')] ).
cnf(961,plain,
( ~ v1_xboole_0(u)
| v1_xboole_0(skf12(v,u)) ),
inference(ssi,[status(thm)],[954,18,17]),
[iquote('0:SSi:954.1,18.0,17.0')] ).
cnf(963,plain,
( ~ v1_xboole_0(u)
| equal(skf12(v,u),k1_xboole_0) ),
inference(ems,[status(thm)],[33,961]),
[iquote('0:EmS:33.0,961.1')] ).
cnf(990,plain,
( ~ v1_xboole_0(u)
| v1_funct_1(k1_xboole_0) ),
inference(spr,[status(thm),theory(equality)],[963,18]),
[iquote('0:SpR:963.1,18.0')] ).
cnf(1014,plain,
v1_funct_1(k1_xboole_0),
inference(ems,[status(thm)],[990,4]),
[iquote('0:EmS:990.0,4.0')] ).
cnf(1023,plain,
( ~ v1_relat_1(skc7)
| ~ r1_tarski(k1_zfmisc_1(skc6),u)
| m2_relset_1(k5_relset_2(skc6,skc7),u,k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(res,[status(thm),theory(equality)],[68,216]),
[iquote('0:Res:68.0,216.2')] ).
cnf(1038,plain,
( ~ r1_tarski(k1_zfmisc_1(skc6),u)
| m2_relset_1(k5_relset_2(skc6,skc7),u,k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(ssi,[status(thm)],[1023,69]),
[iquote('0:SSi:1023.0,69.0')] ).
cnf(1137,plain,
( ~ v1_xboole_0(k5_relset_2(skc6,skc7))
| ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6))
| ~ v1_funct_1(k5_relset_2(skc6,skc7)) ),
inference(res,[status(thm),theory(equality)],[199,601]),
[iquote('0:Res:199.1,601.3')] ).
cnf(1139,plain,
( ~ r1_tarski(k1_zfmisc_1(skc6),k1_zfmisc_1(skc6))
| ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6))
| ~ v1_funct_1(k5_relset_2(skc6,skc7)) ),
inference(res,[status(thm),theory(equality)],[1038,601]),
[iquote('0:Res:1038.1,601.3')] ).
cnf(1140,plain,
( ~ v1_xboole_0(k5_relset_2(skc6,skc7))
| ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_zfmisc_1(skc6),k1_xboole_0)
| ~ v1_funct_1(k5_relset_2(skc6,skc7)) ),
inference(rew,[status(thm),theory(equality)],[85,1137]),
[iquote('0:Rew:85.1,1137.2')] ).
cnf(1141,plain,
( ~ v1_xboole_0(k5_relset_2(skc6,skc7))
| ~ equal(k1_zfmisc_1(skc6),k1_xboole_0)
| ~ v1_funct_1(k5_relset_2(skc6,skc7)) ),
inference(mrr,[status(thm)],[1140,34]),
[iquote('0:MRR:1140.1,34.1')] ).
cnf(1142,plain,
( ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6))
| ~ v1_funct_1(k5_relset_2(skc6,skc7)) ),
inference(mrr,[status(thm)],[1139,13]),
[iquote('0:MRR:1139.0,13.0')] ).
cnf(2045,plain,
( v1_xboole_0(k2_relat_1(k5_relset_2(skc6,skc7)))
| m1_subset_1(skf9(k2_relat_1(k5_relset_2(skc6,skc7))),k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(res,[status(thm),theory(equality)],[14,341]),
[iquote('0:Res:14.0,341.0')] ).
cnf(2088,plain,
v1_xboole_0(k2_relat_1(k5_relset_2(skc6,skc7))),
inference(spt,[spt(split,[position(s1)])],[2045]),
[iquote('1:Spt:2045.0')] ).
cnf(2093,plain,
( ~ v1_relat_1(k5_relset_2(skc6,skc7))
| v1_xboole_0(k5_relset_2(skc6,skc7)) ),
inference(res,[status(thm),theory(equality)],[2088,45]),
[iquote('1:Res:2088.0,45.1')] ).
cnf(2102,plain,
v1_xboole_0(k5_relset_2(skc6,skc7)),
inference(ssi,[status(thm)],[2093,36,69,35]),
[iquote('1:SSi:2093.0,36.0,69.1,35.0,69.1')] ).
cnf(2103,plain,
( ~ equal(k1_zfmisc_1(skc6),k1_xboole_0)
| ~ v1_funct_1(k5_relset_2(skc6,skc7)) ),
inference(mrr,[status(thm)],[1141,2102]),
[iquote('1:MRR:1141.0,2102.0')] ).
cnf(2106,plain,
equal(k5_relset_2(skc6,skc7),k1_xboole_0),
inference(ems,[status(thm)],[33,2102]),
[iquote('1:EmS:33.0,2102.0')] ).
cnf(2108,plain,
( ~ v1_relat_1(skc7)
| equal(k1_zfmisc_1(skc6),k1_xboole_0) ),
inference(sor,[status(thm)],[212,2102]),
[iquote('1:SoR:212.1,2102.0')] ).
cnf(2122,plain,
( ~ equal(k1_zfmisc_1(skc6),k1_xboole_0)
| ~ v1_funct_1(k1_xboole_0) ),
inference(rew,[status(thm),theory(equality)],[2106,2103]),
[iquote('1:Rew:2106.0,2103.1')] ).
cnf(2142,plain,
equal(k1_zfmisc_1(skc6),k1_xboole_0),
inference(ssi,[status(thm)],[2108,69]),
[iquote('1:SSi:2108.0,69.0')] ).
cnf(2146,plain,
( ~ equal(k1_xboole_0,k1_xboole_0)
| ~ v1_funct_1(k1_xboole_0) ),
inference(rew,[status(thm),theory(equality)],[2142,2122]),
[iquote('1:Rew:2142.0,2122.0')] ).
cnf(2147,plain,
~ v1_funct_1(k1_xboole_0),
inference(obv,[status(thm),theory(equality)],[2146]),
[iquote('1:Obv:2146.0')] ).
cnf(2148,plain,
$false,
inference(mrr,[status(thm)],[2147,1014]),
[iquote('1:MRR:2147.0,1014.0')] ).
cnf(2175,plain,
~ v1_xboole_0(k2_relat_1(k5_relset_2(skc6,skc7))),
inference(spt,[spt(split,[position(sa)])],[2148,2088]),
[iquote('1:Spt:2148.0,2045.0,2088.0')] ).
cnf(2176,plain,
m1_subset_1(skf9(k2_relat_1(k5_relset_2(skc6,skc7))),k1_zfmisc_1(k2_relat_1(skc7))),
inference(spt,[spt(split,[position(s2)])],[2045]),
[iquote('1:Spt:2148.0,2045.1')] ).
cnf(2241,plain,
~ v1_funct_1(k5_relset_2(skc6,skc7)),
inference(spt,[spt(split,[position(s2s1)])],[62]),
[iquote('2:Spt:62.0')] ).
cnf(2242,plain,
~ v1_relat_1(skc7),
inference(res,[status(thm),theory(equality)],[36,2241]),
[iquote('2:Res:36.1,2241.0')] ).
cnf(2243,plain,
$false,
inference(ssi,[status(thm)],[2242,69]),
[iquote('2:SSi:2242.0,69.0')] ).
cnf(2244,plain,
v1_funct_1(k5_relset_2(skc6,skc7)),
inference(spt,[spt(split,[position(s2sa)])],[2243,2241]),
[iquote('2:Spt:2243.0,62.0,2241.0')] ).
cnf(2245,plain,
( ~ m2_relset_1(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ v1_funct_2(k5_relset_2(skc6,skc7),k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7))) ),
inference(spt,[spt(split,[position(s2s2)])],[62]),
[iquote('2:Spt:2243.0,62.1,62.2')] ).
cnf(2246,plain,
( ~ skP0(k1_zfmisc_1(skc6),k1_zfmisc_1(k2_relat_1(skc7)))
| ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6)) ),
inference(mrr,[status(thm)],[1142,2244]),
[iquote('2:MRR:1142.2,2244.0')] ).
cnf(2759,plain,
( ~ equal(k1_relat_1(k5_relset_2(skc6,skc7)),k1_zfmisc_1(skc6))
| equal(k1_zfmisc_1(k2_relat_1(skc7)),k1_xboole_0) ),
inference(res,[status(thm),theory(equality)],[23,2246]),
[iquote('2:Res:23.0,2246.0')] ).
cnf(2769,plain,
( ~ v1_relat_1(skc7)
| ~ equal(k1_zfmisc_1(skc6),k1_zfmisc_1(skc6))
| equal(k1_zfmisc_1(k2_relat_1(skc7)),k1_xboole_0) ),
inference(spl,[status(thm),theory(equality)],[211,2759]),
[iquote('2:SpL:211.1,2759.0')] ).
cnf(2770,plain,
( ~ v1_relat_1(skc7)
| equal(k1_zfmisc_1(k2_relat_1(skc7)),k1_xboole_0) ),
inference(obv,[status(thm),theory(equality)],[2769]),
[iquote('2:Obv:2769.1')] ).
cnf(2771,plain,
equal(k1_zfmisc_1(k2_relat_1(skc7)),k1_xboole_0),
inference(ssi,[status(thm)],[2770,69]),
[iquote('2:SSi:2770.0,69.0')] ).
cnf(2891,plain,
~ v1_xboole_0(k1_xboole_0),
inference(spl,[status(thm),theory(equality)],[2771,15]),
[iquote('2:SpL:2771.0,15.0')] ).
cnf(2921,plain,
$false,
inference(mrr,[status(thm)],[2891,4]),
[iquote('2:MRR:2891.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU425+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 : Sun Jun 19 18:45:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/0.91
% 0.72/0.91 SPASS V 3.9
% 0.72/0.91 SPASS beiseite: Proof found.
% 0.72/0.91 % SZS status Theorem
% 0.72/0.91 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.91 SPASS derived 2356 clauses, backtracked 78 clauses, performed 2 splits and kept 1477 clauses.
% 0.72/0.91 SPASS allocated 101114 KBytes.
% 0.72/0.91 SPASS spent 0:00:00.57 on the problem.
% 0.72/0.91 0:00:00.03 for the input.
% 0.72/0.91 0:00:00.03 for the FLOTTER CNF translation.
% 0.72/0.91 0:00:00.04 for inferences.
% 0.72/0.91 0:00:00.00 for the backtracking.
% 0.72/0.91 0:00:00.42 for the reduction.
% 0.72/0.91
% 0.72/0.91
% 0.72/0.91 Here is a proof with depth 8, length 100 :
% 0.72/0.91 % SZS output start Refutation
% See solution above
% 0.77/0.93 Formulae used in the proof : fc4_relat_1 rc2_subset_1 reflexivity_r1_tarski existence_m1_subset_1 fc1_subset_1 rc2_partfun1 cc1_relat_1 t21_relset_2 d1_funct_2 fc7_relat_1 fc8_relat_1 t6_boole dt_k5_relset_2 t3_subset cc1_relset_1 fc5_relat_1 fc6_relat_1 redefinition_m2_relset_1 t2_subset dt_k4_relset_1 redefinition_k4_relset_1 t4_subset t5_subset t20_relset_2 t11_relset_1 d3_relset_2
% 0.77/0.93
%------------------------------------------------------------------------------