TSTP Solution File: SEU299+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% 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 14:35:59 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 24
% Syntax : Number of clauses : 88 ( 23 unt; 32 nHn; 88 RR)
% Number of literals : 277 ( 0 equ; 155 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ordinal(skc16),
file('SEU299+1.p',unknown),
[] ).
cnf(74,axiom,
subset(u,skf18(u,v)),
file('SEU299+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ ordinal(u)
| epsilon_transitive(u) ),
file('SEU299+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ ordinal(u)
| epsilon_connected(u) ),
file('SEU299+1.p',unknown),
[] ).
cnf(88,axiom,
subset(u,skf30(u,v)),
file('SEU299+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ equal(skc45,skc45)
| skC0 ),
file('SEU299+1.p',unknown),
[] ).
cnf(99,axiom,
element(skf29(u),powerset(powerset(u))),
file('SEU299+1.p',unknown),
[] ).
cnf(100,axiom,
element(skf17(u),powerset(powerset(skf14(u)))),
file('SEU299+1.p',unknown),
[] ).
cnf(101,axiom,
( ordinal(skf14(u))
| in(skf14(u),u) ),
file('SEU299+1.p',unknown),
[] ).
cnf(108,axiom,
( in(skf14(u),u)
| in(skf14(u),succ(skc16)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ ordinal(u)
| ~ in(v,skf28(u))
| ~ skC0
| ordinal(v) ),
file('SEU299+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ ordinal(u)
| ~ in(v,skf28(u))
| ~ skC0
| in(v,succ(u)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ ordinal(u)
| ~ in(u,succ(v))
| in(u,omega)
| in(u,skf28(v)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ ordinal(u)
| ~ in(u,succ(v))
| ~ equal(skf29(u),empty_set)
| in(u,skf28(v)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(125,axiom,
( ~ ordinal(skf14(u))
| ~ in(skf14(u),u)
| ~ in(skf14(u),succ(skc16))
| in(skf14(u),omega) ),
file('SEU299+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ ordinal(skf14(u))
| ~ in(skf14(u),u)
| ~ equal(skf17(u),empty_set)
| ~ in(skf14(u),succ(skc16)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ ordinal(u)
| ~ in(u,succ(v))
| ~ in(w,skf29(u))
| ~ equal(skf30(w,u),w)
| in(u,skf28(v)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(128,axiom,
( ~ ordinal(u)
| ~ in(v,skf29(u))
| ~ in(u,succ(w))
| in(u,skf28(w))
| in(skf30(v,u),skf29(u)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ element(u,powerset(powerset(skf14(v))))
| ~ in(skf14(v),omega)
| equal(u,empty_set)
| in(skf14(v),v)
| in(skf16(u),u) ),
file('SEU299+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ ordinal(skf14(u))
| ~ in(v,skf17(u))
| ~ in(skf14(u),u)
| ~ in(skf14(u),succ(skc16))
| ~ equal(skf18(v,u),v) ),
file('SEU299+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ ordinal(skf14(u))
| ~ in(v,skf17(u))
| ~ in(skf14(u),u)
| ~ in(skf14(u),succ(skc16))
| in(skf18(v,u),skf17(u)) ),
file('SEU299+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ ordinal(u)
| ~ element(v,powerset(powerset(w)))
| ~ in(w,omega)
| ~ in(w,skf28(u))
| ~ skC0
| in(skf32(v),v)
| equal(v,empty_set) ),
file('SEU299+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ in(u,v)
| ~ element(v,powerset(powerset(skf14(w))))
| ~ subset(skf16(v),u)
| ~ in(skf14(w),omega)
| equal(v,empty_set)
| equal(u,skf16(v))
| in(skf14(w),w) ),
file('SEU299+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ ordinal(u)
| ~ subset(skf32(v),w)
| ~ in(x,omega)
| ~ element(v,powerset(powerset(x)))
| ~ in(w,v)
| ~ in(x,skf28(u))
| ~ skC0
| equal(w,skf32(v))
| equal(v,empty_set) ),
file('SEU299+1.p',unknown),
[] ).
cnf(137,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[89]),
[iquote('0:Obv:89.0')] ).
cnf(140,plain,
( ~ ordinal(u)
| ~ in(v,skf28(u))
| ordinal(v) ),
inference(mrr,[status(thm)],[119,137]),
[iquote('0:MRR:119.2,137.0')] ).
cnf(141,plain,
( ~ ordinal(u)
| ~ in(v,skf28(u))
| in(v,succ(u)) ),
inference(mrr,[status(thm)],[120,137]),
[iquote('0:MRR:120.2,137.0')] ).
cnf(142,plain,
( ~ ordinal(u)
| ~ in(v,omega)
| ~ in(v,skf28(u))
| ~ element(w,powerset(powerset(v)))
| equal(w,empty_set)
| in(skf32(w),w) ),
inference(mrr,[status(thm)],[134,137]),
[iquote('0:MRR:134.4,137.0')] ).
cnf(143,plain,
( ~ ordinal(u)
| ~ in(v,w)
| ~ in(x,omega)
| ~ in(x,skf28(u))
| ~ element(w,powerset(powerset(x)))
| ~ subset(skf32(w),v)
| equal(w,empty_set)
| equal(v,skf32(w)) ),
inference(mrr,[status(thm)],[136,137]),
[iquote('0:MRR:136.6,137.0')] ).
cnf(150,plain,
( ~ in(u,skf28(skc16))
| in(u,succ(skc16)) ),
inference(res,[status(thm),theory(equality)],[1,141]),
[iquote('0:Res:1.0,141.0')] ).
cnf(151,plain,
( ~ in(u,skf28(skc16))
| ordinal(u) ),
inference(res,[status(thm),theory(equality)],[1,140]),
[iquote('0:Res:1.0,140.0')] ).
cnf(159,plain,
epsilon_transitive(skc16),
inference(res,[status(thm),theory(equality)],[1,86]),
[iquote('0:Res:1.0,86.0')] ).
cnf(160,plain,
epsilon_connected(skc16),
inference(res,[status(thm),theory(equality)],[1,87]),
[iquote('0:Res:1.0,87.0')] ).
cnf(165,plain,
( ~ ordinal(u)
| ~ in(skf14(v),omega)
| ~ in(skf14(v),skf28(u))
| equal(skf17(v),empty_set)
| in(skf32(skf17(v)),skf17(v)) ),
inference(res,[status(thm),theory(equality)],[100,142]),
[iquote('0:Res:100.0,142.1')] ).
cnf(167,plain,
( ~ ordinal(u)
| ~ in(v,skf17(w))
| ~ in(skf14(w),omega)
| ~ in(skf14(w),skf28(u))
| ~ subset(skf32(skf17(w)),v)
| equal(v,skf32(skf17(w)))
| equal(skf17(w),empty_set) ),
inference(res,[status(thm),theory(equality)],[100,143]),
[iquote('0:Res:100.0,143.3')] ).
cnf(175,plain,
( ~ in(skf14(u),omega)
| in(skf14(u),u)
| equal(skf29(skf14(u)),empty_set)
| in(skf16(skf29(skf14(u))),skf29(skf14(u))) ),
inference(res,[status(thm),theory(equality)],[99,129]),
[iquote('0:Res:99.0,129.1')] ).
cnf(184,plain,
( ~ in(u,skf29(skf14(v)))
| ~ in(skf14(v),omega)
| ~ subset(skf16(skf29(skf14(v))),u)
| equal(u,skf16(skf29(skf14(v))))
| in(skf14(v),v)
| equal(skf29(skf14(v)),empty_set) ),
inference(res,[status(thm),theory(equality)],[99,135]),
[iquote('0:Res:99.0,135.3')] ).
cnf(207,plain,
( ordinal(skf14(skf28(skc16)))
| ordinal(skf14(skf28(skc16))) ),
inference(res,[status(thm),theory(equality)],[101,151]),
[iquote('0:Res:101.1,151.0')] ).
cnf(208,plain,
ordinal(skf14(skf28(skc16))),
inference(obv,[status(thm),theory(equality)],[207]),
[iquote('0:Obv:207.0')] ).
cnf(221,plain,
( in(skf14(skf28(skc16)),succ(skc16))
| in(skf14(skf28(skc16)),succ(skc16)) ),
inference(res,[status(thm),theory(equality)],[108,150]),
[iquote('0:Res:108.0,150.0')] ).
cnf(225,plain,
in(skf14(skf28(skc16)),succ(skc16)),
inference(obv,[status(thm),theory(equality)],[221]),
[iquote('0:Obv:221.0')] ).
cnf(297,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),skf28(skc16))
| in(skf14(skf28(skc16)),omega) ),
inference(res,[status(thm),theory(equality)],[225,125]),
[iquote('0:Res:225.0,125.2')] ).
cnf(299,plain,
( ~ in(skf14(skf28(skc16)),skf28(skc16))
| in(skf14(skf28(skc16)),omega) ),
inference(mrr,[status(thm)],[297,208]),
[iquote('0:MRR:297.0,208.0')] ).
cnf(304,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),skf28(skc16))
| ~ equal(skf17(skf28(skc16)),empty_set) ),
inference(res,[status(thm),theory(equality)],[225,126]),
[iquote('0:Res:225.0,126.3')] ).
cnf(306,plain,
( ~ in(skf14(skf28(skc16)),skf28(skc16))
| ~ equal(skf17(skf28(skc16)),empty_set) ),
inference(mrr,[status(thm)],[304,208]),
[iquote('0:MRR:304.0,208.0')] ).
cnf(340,plain,
( ~ ordinal(u)
| ~ in(u,succ(v))
| ordinal(skf14(skf29(u)))
| in(u,skf28(v))
| in(skf30(skf14(skf29(u)),u),skf29(u)) ),
inference(res,[status(thm),theory(equality)],[101,128]),
[iquote('0:Res:101.1,128.1')] ).
cnf(372,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),succ(skc16))
| in(skf14(skf28(skc16)),omega)
| in(skf14(skf28(skc16)),omega) ),
inference(res,[status(thm),theory(equality)],[121,299]),
[iquote('0:Res:121.3,299.0')] ).
cnf(375,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),succ(skc16))
| in(skf14(skf28(skc16)),omega) ),
inference(obv,[status(thm),theory(equality)],[372]),
[iquote('0:Obv:372.2')] ).
cnf(376,plain,
( ~ in(skf14(skf28(skc16)),succ(skc16))
| in(skf14(skf28(skc16)),omega) ),
inference(ssi,[status(thm)],[375,208]),
[iquote('0:SSi:375.0,208.0')] ).
cnf(377,plain,
in(skf14(skf28(skc16)),omega),
inference(mrr,[status(thm)],[376,225]),
[iquote('0:MRR:376.0,225.0')] ).
cnf(431,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(u,skf17(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),skf28(skc16))
| ~ equal(skf18(u,skf28(skc16)),u) ),
inference(res,[status(thm),theory(equality)],[225,130]),
[iquote('0:Res:225.0,130.3')] ).
cnf(432,plain,
( ~ in(u,skf17(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),skf28(skc16))
| ~ equal(skf18(u,skf28(skc16)),u) ),
inference(mrr,[status(thm)],[431,208]),
[iquote('0:MRR:431.0,208.0')] ).
cnf(499,plain,
( ~ ordinal(skf14(u))
| ~ in(skf14(u),omega)
| ~ in(skf14(u),succ(v))
| in(skf14(u),u)
| equal(skf29(skf14(u)),empty_set)
| in(skf14(u),skf28(v))
| in(skf30(skf16(skf29(skf14(u))),skf14(u)),skf29(skf14(u))) ),
inference(res,[status(thm),theory(equality)],[175,128]),
[iquote('0:Res:175.3,128.1')] ).
cnf(500,plain,
( ~ in(skf14(u),omega)
| ~ in(skf14(u),succ(v))
| in(skf14(u),u)
| equal(skf29(skf14(u)),empty_set)
| in(skf14(u),skf28(v))
| in(skf30(skf16(skf29(skf14(u))),skf14(u)),skf29(skf14(u))) ),
inference(mrr,[status(thm)],[499,101]),
[iquote('0:MRR:499.0,101.0')] ).
cnf(559,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ordinal(skf14(skf29(skf14(skf28(skc16)))))
| in(skf14(skf28(skc16)),skf28(skc16))
| in(skf30(skf14(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf29(skf14(skf28(skc16)))) ),
inference(res,[status(thm),theory(equality)],[225,340]),
[iquote('0:Res:225.0,340.1')] ).
cnf(565,plain,
( ordinal(skf14(skf29(skf14(skf28(skc16)))))
| in(skf14(skf28(skc16)),skf28(skc16))
| in(skf30(skf14(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf29(skf14(skf28(skc16)))) ),
inference(ssi,[status(thm)],[559,208]),
[iquote('0:SSi:559.0,208.0')] ).
cnf(626,plain,
in(skf14(skf28(skc16)),skf28(skc16)),
inference(spt,[spt(split,[position(s1)])],[565]),
[iquote('1:Spt:565.1')] ).
cnf(627,plain,
~ equal(skf17(skf28(skc16)),empty_set),
inference(mrr,[status(thm)],[306,626]),
[iquote('1:MRR:306.0,626.0')] ).
cnf(628,plain,
( ~ in(u,skf17(skf28(skc16)))
| ~ equal(skf18(u,skf28(skc16)),u) ),
inference(mrr,[status(thm)],[432,626]),
[iquote('1:MRR:432.1,626.0')] ).
cnf(634,plain,
( ~ ordinal(skc16)
| ~ in(skf14(skf28(skc16)),omega)
| equal(skf17(skf28(skc16)),empty_set)
| in(skf32(skf17(skf28(skc16))),skf17(skf28(skc16))) ),
inference(res,[status(thm),theory(equality)],[626,165]),
[iquote('1:Res:626.0,165.2')] ).
cnf(642,plain,
( ~ in(skf14(skf28(skc16)),omega)
| equal(skf17(skf28(skc16)),empty_set)
| in(skf32(skf17(skf28(skc16))),skf17(skf28(skc16))) ),
inference(ssi,[status(thm)],[634,1,160,159]),
[iquote('1:SSi:634.0,1.0,160.0,159.0')] ).
cnf(643,plain,
( equal(skf17(skf28(skc16)),empty_set)
| in(skf32(skf17(skf28(skc16))),skf17(skf28(skc16))) ),
inference(mrr,[status(thm)],[642,377]),
[iquote('1:MRR:642.0,377.0')] ).
cnf(644,plain,
in(skf32(skf17(skf28(skc16))),skf17(skf28(skc16))),
inference(mrr,[status(thm)],[643,627]),
[iquote('1:MRR:643.0,627.0')] ).
cnf(658,plain,
~ equal(skf18(skf32(skf17(skf28(skc16))),skf28(skc16)),skf32(skf17(skf28(skc16)))),
inference(res,[status(thm),theory(equality)],[644,628]),
[iquote('1:Res:644.0,628.0')] ).
cnf(683,plain,
( ~ in(skf30(skf16(skf29(skf14(u))),v),skf29(skf14(u)))
| ~ in(skf14(u),omega)
| equal(skf30(skf16(skf29(skf14(u))),v),skf16(skf29(skf14(u))))
| in(skf14(u),u)
| equal(skf29(skf14(u)),empty_set) ),
inference(res,[status(thm),theory(equality)],[88,184]),
[iquote('0:Res:88.0,184.2')] ).
cnf(721,plain,
( ~ ordinal(skc16)
| ~ in(u,skf17(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),omega)
| ~ subset(skf32(skf17(skf28(skc16))),u)
| equal(u,skf32(skf17(skf28(skc16))))
| equal(skf17(skf28(skc16)),empty_set) ),
inference(res,[status(thm),theory(equality)],[626,167]),
[iquote('1:Res:626.0,167.3')] ).
cnf(722,plain,
( ~ in(u,skf17(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),omega)
| ~ subset(skf32(skf17(skf28(skc16))),u)
| equal(u,skf32(skf17(skf28(skc16))))
| equal(skf17(skf28(skc16)),empty_set) ),
inference(ssi,[status(thm)],[721,1,160,159]),
[iquote('1:SSi:721.0,1.0,160.0,159.0')] ).
cnf(723,plain,
( ~ in(u,skf17(skf28(skc16)))
| ~ subset(skf32(skf17(skf28(skc16))),u)
| equal(u,skf32(skf17(skf28(skc16)))) ),
inference(mrr,[status(thm)],[722,377,627]),
[iquote('1:MRR:722.1,722.4,377.0,627.0')] ).
cnf(726,plain,
( ~ in(skf18(skf32(skf17(skf28(skc16))),u),skf17(skf28(skc16)))
| equal(skf18(skf32(skf17(skf28(skc16))),u),skf32(skf17(skf28(skc16)))) ),
inference(res,[status(thm),theory(equality)],[74,723]),
[iquote('1:Res:74.0,723.1')] ).
cnf(727,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf32(skf17(skf28(skc16))),skf17(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),skf28(skc16))
| ~ in(skf14(skf28(skc16)),succ(skc16))
| equal(skf18(skf32(skf17(skf28(skc16))),skf28(skc16)),skf32(skf17(skf28(skc16)))) ),
inference(res,[status(thm),theory(equality)],[131,726]),
[iquote('1:Res:131.4,726.0')] ).
cnf(728,plain,
$false,
inference(mrr,[status(thm)],[727,208,644,626,225,658]),
[iquote('1:MRR:727.0,727.1,727.2,727.3,727.4,208.0,644.0,626.0,225.0,658.0')] ).
cnf(729,plain,
~ in(skf14(skf28(skc16)),skf28(skc16)),
inference(spt,[spt(split,[position(sa)])],[728,626]),
[iquote('1:Spt:728.0,565.1,626.0')] ).
cnf(730,plain,
( ordinal(skf14(skf29(skf14(skf28(skc16)))))
| in(skf30(skf14(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf29(skf14(skf28(skc16)))) ),
inference(spt,[spt(split,[position(s2)])],[565]),
[iquote('1:Spt:728.0,565.0,565.2')] ).
cnf(736,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),succ(skc16))
| ~ equal(skf29(skf14(skf28(skc16))),empty_set) ),
inference(res,[status(thm),theory(equality)],[122,729]),
[iquote('1:Res:122.3,729.0')] ).
cnf(740,plain,
( ~ in(skf14(skf28(skc16)),succ(skc16))
| ~ equal(skf29(skf14(skf28(skc16))),empty_set) ),
inference(ssi,[status(thm)],[736,208]),
[iquote('1:SSi:736.0,208.0')] ).
cnf(741,plain,
~ equal(skf29(skf14(skf28(skc16))),empty_set),
inference(mrr,[status(thm)],[740,225]),
[iquote('1:MRR:740.0,225.0')] ).
cnf(909,plain,
( ~ in(skf14(skf28(skc16)),omega)
| in(skf14(skf28(skc16)),skf28(skc16))
| equal(skf29(skf14(skf28(skc16))),empty_set)
| in(skf14(skf28(skc16)),skf28(skc16))
| in(skf30(skf16(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf29(skf14(skf28(skc16)))) ),
inference(res,[status(thm),theory(equality)],[225,500]),
[iquote('0:Res:225.0,500.1')] ).
cnf(916,plain,
( ~ in(skf14(skf28(skc16)),omega)
| equal(skf29(skf14(skf28(skc16))),empty_set)
| in(skf14(skf28(skc16)),skf28(skc16))
| in(skf30(skf16(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf29(skf14(skf28(skc16)))) ),
inference(obv,[status(thm),theory(equality)],[909]),
[iquote('0:Obv:909.1')] ).
cnf(917,plain,
in(skf30(skf16(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf29(skf14(skf28(skc16)))),
inference(mrr,[status(thm)],[916,377,741,729]),
[iquote('1:MRR:916.0,916.1,916.2,377.0,741.0,729.0')] ).
cnf(922,plain,
( ~ in(skf14(skf28(skc16)),omega)
| equal(skf30(skf16(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf16(skf29(skf14(skf28(skc16)))))
| in(skf14(skf28(skc16)),skf28(skc16))
| equal(skf29(skf14(skf28(skc16))),empty_set) ),
inference(res,[status(thm),theory(equality)],[917,683]),
[iquote('1:Res:917.0,683.0')] ).
cnf(923,plain,
equal(skf30(skf16(skf29(skf14(skf28(skc16)))),skf14(skf28(skc16))),skf16(skf29(skf14(skf28(skc16))))),
inference(mrr,[status(thm)],[922,377,729,741]),
[iquote('1:MRR:922.0,922.2,922.3,377.0,729.0,741.0')] ).
cnf(924,plain,
in(skf16(skf29(skf14(skf28(skc16)))),skf29(skf14(skf28(skc16)))),
inference(rew,[status(thm),theory(equality)],[923,917]),
[iquote('1:Rew:923.0,917.0')] ).
cnf(935,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),succ(u))
| ~ in(skf16(skf29(skf14(skf28(skc16)))),skf29(skf14(skf28(skc16))))
| ~ equal(skf16(skf29(skf14(skf28(skc16)))),skf16(skf29(skf14(skf28(skc16)))))
| in(skf14(skf28(skc16)),skf28(u)) ),
inference(spl,[status(thm),theory(equality)],[923,127]),
[iquote('1:SpL:923.0,127.3')] ).
cnf(936,plain,
( ~ ordinal(skf14(skf28(skc16)))
| ~ in(skf14(skf28(skc16)),succ(u))
| ~ in(skf16(skf29(skf14(skf28(skc16)))),skf29(skf14(skf28(skc16))))
| in(skf14(skf28(skc16)),skf28(u)) ),
inference(obv,[status(thm),theory(equality)],[935]),
[iquote('1:Obv:935.3')] ).
cnf(937,plain,
( ~ in(skf14(skf28(skc16)),succ(u))
| ~ in(skf16(skf29(skf14(skf28(skc16)))),skf29(skf14(skf28(skc16))))
| in(skf14(skf28(skc16)),skf28(u)) ),
inference(ssi,[status(thm)],[936,208]),
[iquote('1:SSi:936.0,208.0')] ).
cnf(938,plain,
( ~ in(skf14(skf28(skc16)),succ(u))
| in(skf14(skf28(skc16)),skf28(u)) ),
inference(mrr,[status(thm)],[937,924]),
[iquote('1:MRR:937.1,924.0')] ).
cnf(943,plain,
~ in(skf14(skf28(skc16)),succ(skc16)),
inference(res,[status(thm),theory(equality)],[938,729]),
[iquote('1:Res:938.1,729.0')] ).
cnf(954,plain,
$false,
inference(mrr,[status(thm)],[943,225]),
[iquote('1:MRR:943.0,225.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU299+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Mon Jun 20 09:18:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.64
% 0.47/0.64 SPASS V 3.9
% 0.47/0.64 SPASS beiseite: Proof found.
% 0.47/0.64 % SZS status Theorem
% 0.47/0.64 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 SPASS derived 635 clauses, backtracked 13 clauses, performed 2 splits and kept 485 clauses.
% 0.47/0.64 SPASS allocated 98805 KBytes.
% 0.47/0.64 SPASS spent 0:00:00.30 on the problem.
% 0.47/0.64 0:00:00.03 for the input.
% 0.47/0.64 0:00:00.11 for the FLOTTER CNF translation.
% 0.47/0.64 0:00:00.02 for inferences.
% 0.47/0.64 0:00:00.00 for the backtracking.
% 0.47/0.64 0:00:00.09 for the reduction.
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 Here is a proof with depth 7, length 88 :
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.65 Formulae used in the proof : s1_xboole_0__e18_27__finset_1__1 rc2_subset_1 reflexivity_r1_tarski cc1_ordinal1 s1_tarski__e18_27__finset_1__1 fc4_relat_1 cc3_ordinal1
% 0.47/0.65
%------------------------------------------------------------------------------