TSTP Solution File: NUM566+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM566+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 : Mon Jul 18 14:27:34 EDT 2022
% Result : Theorem 5.74s 6.00s
% Output : Refutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of clauses : 98 ( 32 unt; 17 nHn; 98 RR)
% Number of literals : 236 ( 0 equ; 127 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aSet0(szNzAzT0),
file('NUM566+1.p',unknown),
[] ).
cnf(3,axiom,
isCountable0(szNzAzT0),
file('NUM566+1.p',unknown),
[] ).
cnf(4,axiom,
aSet0(xT),
file('NUM566+1.p',unknown),
[] ).
cnf(5,axiom,
isFinite0(xT),
file('NUM566+1.p',unknown),
[] ).
cnf(6,axiom,
isCountable0(xS),
file('NUM566+1.p',unknown),
[] ).
cnf(7,axiom,
aFunction0(xc),
file('NUM566+1.p',unknown),
[] ).
cnf(9,axiom,
aElementOf0(xK,szNzAzT0),
file('NUM566+1.p',unknown),
[] ).
cnf(10,axiom,
aSubsetOf0(xS,szNzAzT0),
file('NUM566+1.p',unknown),
[] ).
cnf(11,axiom,
equal(sz00,xK),
file('NUM566+1.p',unknown),
[] ).
cnf(13,axiom,
equal(slbdtrb0(sz00),slcrc0),
file('NUM566+1.p',unknown),
[] ).
cnf(17,axiom,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('NUM566+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ aSet0(u)
| aSubsetOf0(u,u) ),
file('NUM566+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ aFunction0(u)
| aSet0(szDzozmdt0(u)) ),
file('NUM566+1.p',unknown),
[] ).
cnf(23,axiom,
equal(slbdtsldtrb0(xS,xK),szDzozmdt0(xc)),
file('NUM566+1.p',unknown),
[] ).
cnf(24,axiom,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
file('NUM566+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ aElementOf0(u,v)
| ~ equal(v,slcrc0) ),
file('NUM566+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM566+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ aElementOf0(u,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(u),sz00) ),
file('NUM566+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),sz00)
| equal(u,slcrc0) ),
file('NUM566+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ isFinite0(u)
| ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| isFinite0(v) ),
file('NUM566+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ aElementOf0(u,slbdtsldtrb0(xS,sz00))
| equal(sdtlpdtrp0(xc,u),sdtlpdtrp0(xc,slcrc0)) ),
file('NUM566+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM566+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElementOf0(skf24(v,w),v) ),
file('NUM566+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ aFunction0(u)
| ~ aElementOf0(v,szDzozmdt0(u))
| aElementOf0(sdtlpdtrp0(u,v),sdtlcdtrc0(u,szDzozmdt0(u))) ),
file('NUM566+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(u,v)
| equal(u,v) ),
file('NUM566+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ isCountable0(u)
| ~ aElementOf0(v,xT)
| ~ aSubsetOf0(u,xS)
| aElementOf0(skf22(u,w),slbdtsldtrb0(u,xK)) ),
file('NUM566+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,xS)
| ~ aElementOf0(v,xT)
| ~ equal(sdtlpdtrp0(xc,skf22(u,v)),v) ),
file('NUM566+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| aSubsetOf0(v,u) ),
file('NUM566+1.p',unknown),
[] ).
cnf(114,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| equal(sbrdtbr0(v),x) ),
file('NUM566+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| equal(u,slbdtrb0(v))
| aElementOf0(skf31(v,u),u)
| aElementOf0(skf31(v,u),szNzAzT0) ),
file('NUM566+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| equal(u,slbdtrb0(v))
| sdtlseqdt0(szszuzczcdt0(skf31(v,u)),v)
| aElementOf0(skf31(v,u),u) ),
file('NUM566+1.p',unknown),
[] ).
cnf(156,plain,
equal(slbdtrb0(xK),slcrc0),
inference(rew,[status(thm),theory(equality)],[11,13]),
[iquote('0:Rew:11.0,13.0')] ).
cnf(157,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(rew,[status(thm),theory(equality)],[11,17]),
[iquote('0:Rew:11.0,17.0')] ).
cnf(158,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(rew,[status(thm),theory(equality)],[23,157]),
[iquote('0:Rew:23.0,157.0')] ).
cnf(160,plain,
( ~ aElementOf0(u,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(u),xK) ),
inference(rew,[status(thm),theory(equality)],[11,41]),
[iquote('0:Rew:11.0,41.1')] ).
cnf(164,plain,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),xK)
| equal(u,slcrc0) ),
inference(rew,[status(thm),theory(equality)],[11,49]),
[iquote('0:Rew:11.0,49.1')] ).
cnf(166,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| equal(sdtlpdtrp0(xc,u),sdtlpdtrp0(xc,slcrc0)) ),
inference(rew,[status(thm),theory(equality)],[23,61,11]),
[iquote('0:Rew:23.0,61.0,11.0,61.0')] ).
cnf(168,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(u,v)
| equal(v,u) ),
inference(mrr,[status(thm)],[82,37]),
[iquote('0:MRR:82.0,37.2')] ).
cnf(181,plain,
( ~ aElementOf0(u,xT)
| ~ aSubsetOf0(xS,xS)
| ~ equal(sdtlpdtrp0(xc,skf22(xS,u)),u) ),
inference(res,[status(thm),theory(equality)],[6,97]),
[iquote('0:Res:6.0,97.0')] ).
cnf(185,plain,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,xS)
| aElementOf0(skf22(u,v),slbdtsldtrb0(u,xK)) ),
inference(spt,[spt(split,[position(s1)])],[91]),
[iquote('1:Spt:91.0,91.2,91.3')] ).
cnf(188,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| aElementOf0(skf22(xS,u),szDzozmdt0(xc)) ),
inference(spr,[status(thm),theory(equality)],[23,185]),
[iquote('1:SpR:23.0,185.2')] ).
cnf(190,plain,
( ~ aSubsetOf0(xS,xS)
| aElementOf0(skf22(xS,u),szDzozmdt0(xc)) ),
inference(ssi,[status(thm)],[188,6]),
[iquote('1:SSi:188.0,6.0')] ).
cnf(201,plain,
~ equal(szDzozmdt0(xc),slcrc0),
inference(res,[status(thm),theory(equality)],[158,30]),
[iquote('0:Res:158.0,30.0')] ).
cnf(233,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(res,[status(thm),theory(equality)],[10,37]),
[iquote('0:Res:10.0,37.1')] ).
cnf(234,plain,
( ~ aSet0(xT)
| aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(res,[status(thm),theory(equality)],[24,37]),
[iquote('0:Res:24.0,37.1')] ).
cnf(235,plain,
aSet0(xS),
inference(ssi,[status(thm)],[233,3,2]),
[iquote('0:SSi:233.0,3.0,2.0')] ).
cnf(236,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(ssi,[status(thm)],[234,5,4]),
[iquote('0:SSi:234.0,5.0,4.0')] ).
cnf(315,plain,
( ~ aSubsetOf0(xS,xS)
| equal(sdtlpdtrp0(xc,skf22(xS,u)),sdtlpdtrp0(xc,slcrc0)) ),
inference(res,[status(thm),theory(equality)],[190,166]),
[iquote('1:Res:190.1,166.0')] ).
cnf(317,plain,
( ~ aElementOf0(u,xT)
| ~ aSubsetOf0(xS,xS)
| ~ equal(sdtlpdtrp0(xc,slcrc0),u) ),
inference(rew,[status(thm),theory(equality)],[315,181]),
[iquote('1:Rew:315.1,181.2')] ).
cnf(398,plain,
( ~ isFinite0(xT)
| ~ aSet0(xT)
| isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(res,[status(thm),theory(equality)],[24,52]),
[iquote('0:Res:24.0,52.2')] ).
cnf(401,plain,
isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(ssi,[status(thm)],[398,5,4]),
[iquote('0:SSi:398.1,398.0,5.0,4.0,5.0,4.0')] ).
cnf(434,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(eqr,[status(thm),theory(equality)],[317]),
[iquote('1:EqR:317.2')] ).
cnf(533,plain,
( ~ aSet0(xT)
| ~ aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(res,[status(thm),theory(equality)],[24,168]),
[iquote('0:Res:24.0,168.1')] ).
cnf(536,plain,
( ~ aSubsetOf0(xT,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(ssi,[status(thm)],[533,5,4]),
[iquote('0:SSi:533.0,5.0,4.0')] ).
cnf(552,plain,
( ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(xT)
| aElementOf0(skf24(xT,u),xT)
| equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(res,[status(thm),theory(equality)],[63,536]),
[iquote('0:Res:63.2,536.0')] ).
cnf(575,plain,
( aElementOf0(skf24(xT,u),xT)
| equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(ssi,[status(thm)],[552,5,4,236,401]),
[iquote('0:SSi:552.1,552.0,5.0,4.0,236.0,401.0')] ).
cnf(1413,plain,
( ~ aFunction0(u)
| ~ aSet0(v)
| ~ aElementOf0(w,szDzozmdt0(u))
| ~ aSubsetOf0(sdtlcdtrc0(u,szDzozmdt0(u)),v)
| aElementOf0(sdtlpdtrp0(u,w),v) ),
inference(res,[status(thm),theory(equality)],[79,62]),
[iquote('0:Res:79.2,62.1')] ).
cnf(2444,plain,
( ~ aSet0(xS)
| ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(spl,[status(thm),theory(equality)],[23,103]),
[iquote('0:SpL:23.0,103.3')] ).
cnf(2445,plain,
( ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(ssi,[status(thm)],[2444,6,235]),
[iquote('0:SSi:2444.0,6.0,235.0')] ).
cnf(2446,plain,
( ~ aElementOf0(u,v)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(mrr,[status(thm)],[2445,9]),
[iquote('0:MRR:2445.1,9.0')] ).
cnf(2492,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(eqr,[status(thm),theory(equality)],[2446]),
[iquote('0:EqR:2446.1')] ).
cnf(2707,plain,
( ~ aSet0(u)
| equal(u,slbdtrb0(xK))
| aElementOf0(skf31(xK,u),u)
| aElementOf0(skf31(xK,u),szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[9,116]),
[iquote('0:Res:9.0,116.1')] ).
cnf(2724,plain,
( ~ aSet0(u)
| equal(u,slcrc0)
| aElementOf0(skf31(xK,u),u)
| aElementOf0(skf31(xK,u),szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[156,2707]),
[iquote('0:Rew:156.0,2707.1')] ).
cnf(2792,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,slbdtsldtrb0(u,w))
| ~ aElementOf0(w,szNzAzT0)
| equal(sbrdtbr0(v),w) ),
inference(eqr,[status(thm),theory(equality)],[114]),
[iquote('0:EqR:114.3')] ).
cnf(2853,plain,
( ~ aSet0(u)
| equal(u,slbdtrb0(xK))
| sdtlseqdt0(szszuzczcdt0(skf31(xK,u)),xK)
| aElementOf0(skf31(xK,u),u) ),
inference(res,[status(thm),theory(equality)],[9,121]),
[iquote('0:Res:9.0,121.1')] ).
cnf(2870,plain,
( ~ aSet0(u)
| equal(u,slcrc0)
| sdtlseqdt0(szszuzczcdt0(skf31(xK,u)),xK)
| aElementOf0(skf31(xK,u),u) ),
inference(rew,[status(thm),theory(equality)],[156,2853]),
[iquote('0:Rew:156.0,2853.1')] ).
cnf(6111,plain,
( ~ aSet0(u)
| ~ aElementOf0(skf31(xK,u),szNzAzT0)
| equal(u,slcrc0)
| aElementOf0(skf31(xK,u),u) ),
inference(res,[status(thm),theory(equality)],[2870,160]),
[iquote('0:Res:2870.2,160.1')] ).
cnf(6131,plain,
( ~ aSet0(u)
| equal(u,slcrc0)
| aElementOf0(skf31(xK,u),u) ),
inference(mrr,[status(thm)],[6111,2724]),
[iquote('0:MRR:6111.1,2724.3')] ).
cnf(6153,plain,
( ~ aSet0(szDzozmdt0(xc))
| equal(szDzozmdt0(xc),slcrc0)
| equal(sdtlpdtrp0(xc,skf31(xK,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0)) ),
inference(res,[status(thm),theory(equality)],[6131,166]),
[iquote('0:Res:6131.2,166.0')] ).
cnf(6154,plain,
( ~ aSet0(szDzozmdt0(xc))
| equal(szDzozmdt0(xc),slcrc0)
| aSubsetOf0(skf31(xK,szDzozmdt0(xc)),xS) ),
inference(res,[status(thm),theory(equality)],[6131,2492]),
[iquote('0:Res:6131.2,2492.0')] ).
cnf(6170,plain,
( equal(szDzozmdt0(xc),slcrc0)
| aSubsetOf0(skf31(xK,szDzozmdt0(xc)),xS) ),
inference(ssi,[status(thm)],[6154,22,7]),
[iquote('0:SSi:6154.0,22.0,7.1')] ).
cnf(6171,plain,
aSubsetOf0(skf31(xK,szDzozmdt0(xc)),xS),
inference(mrr,[status(thm)],[6170,201]),
[iquote('0:MRR:6170.0,201.0')] ).
cnf(6173,plain,
( equal(szDzozmdt0(xc),slcrc0)
| equal(sdtlpdtrp0(xc,skf31(xK,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0)) ),
inference(ssi,[status(thm)],[6153,22,7]),
[iquote('0:SSi:6153.0,22.0,7.1')] ).
cnf(6174,plain,
equal(sdtlpdtrp0(xc,skf31(xK,szDzozmdt0(xc))),sdtlpdtrp0(xc,slcrc0)),
inference(mrr,[status(thm)],[6173,201]),
[iquote('0:MRR:6173.0,201.0')] ).
cnf(6187,plain,
( ~ aSet0(xS)
| aSet0(skf31(xK,szDzozmdt0(xc))) ),
inference(res,[status(thm),theory(equality)],[6171,37]),
[iquote('0:Res:6171.0,37.1')] ).
cnf(6188,plain,
aSet0(skf31(xK,szDzozmdt0(xc))),
inference(ssi,[status(thm)],[6187,6,235]),
[iquote('0:SSi:6187.0,6.0,235.0')] ).
cnf(6211,plain,
( ~ aFunction0(xc)
| ~ aElementOf0(skf31(xK,szDzozmdt0(xc)),szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,slcrc0),sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(spr,[status(thm),theory(equality)],[6174,79]),
[iquote('0:SpR:6174.0,79.2')] ).
cnf(6647,plain,
( ~ aSet0(xS)
| ~ aElementOf0(u,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| equal(sbrdtbr0(u),xK) ),
inference(spl,[status(thm),theory(equality)],[23,2792]),
[iquote('0:SpL:23.0,2792.1')] ).
cnf(6677,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| equal(sbrdtbr0(u),xK) ),
inference(ssi,[status(thm)],[6647,6,235]),
[iquote('0:SSi:6647.0,6.0,235.0')] ).
cnf(6678,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(mrr,[status(thm)],[6677,9]),
[iquote('0:MRR:6677.1,9.0')] ).
cnf(6731,plain,
( ~ aSet0(szDzozmdt0(xc))
| equal(szDzozmdt0(xc),slcrc0)
| equal(sbrdtbr0(skf31(xK,szDzozmdt0(xc))),xK) ),
inference(res,[status(thm),theory(equality)],[6131,6678]),
[iquote('0:Res:6131.2,6678.0')] ).
cnf(6749,plain,
( equal(szDzozmdt0(xc),slcrc0)
| equal(sbrdtbr0(skf31(xK,szDzozmdt0(xc))),xK) ),
inference(ssi,[status(thm)],[6731,22,7]),
[iquote('0:SSi:6731.0,22.0,7.1')] ).
cnf(6750,plain,
equal(sbrdtbr0(skf31(xK,szDzozmdt0(xc))),xK),
inference(mrr,[status(thm)],[6749,201]),
[iquote('0:MRR:6749.0,201.0')] ).
cnf(6779,plain,
( ~ aSet0(skf31(xK,szDzozmdt0(xc)))
| ~ equal(xK,xK)
| equal(skf31(xK,szDzozmdt0(xc)),slcrc0) ),
inference(spl,[status(thm),theory(equality)],[6750,164]),
[iquote('0:SpL:6750.0,164.1')] ).
cnf(6789,plain,
( ~ aSet0(skf31(xK,szDzozmdt0(xc)))
| equal(skf31(xK,szDzozmdt0(xc)),slcrc0) ),
inference(obv,[status(thm),theory(equality)],[6779]),
[iquote('0:Obv:6779.1')] ).
cnf(14247,plain,
( ~ aFunction0(xc)
| ~ aSet0(xT)
| ~ aElementOf0(u,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,u),xT) ),
inference(res,[status(thm),theory(equality)],[24,1413]),
[iquote('0:Res:24.0,1413.3')] ).
cnf(14250,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,u),xT) ),
inference(ssi,[status(thm)],[14247,5,4,7]),
[iquote('0:SSi:14247.1,14247.0,5.0,4.0,7.0')] ).
cnf(14273,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS) ),
inference(res,[status(thm),theory(equality)],[14250,434]),
[iquote('1:Res:14250.1,434.0')] ).
cnf(14275,plain,
~ aSubsetOf0(xS,xS),
inference(mrr,[status(thm)],[14273,158]),
[iquote('1:MRR:14273.0,158.0')] ).
cnf(14282,plain,
~ aSet0(xS),
inference(res,[status(thm),theory(equality)],[20,14275]),
[iquote('1:Res:20.1,14275.0')] ).
cnf(14286,plain,
$false,
inference(ssi,[status(thm)],[14282,6,235]),
[iquote('1:SSi:14282.0,6.0,235.0')] ).
cnf(14287,plain,
~ aElementOf0(u,xT),
inference(spt,[spt(split,[position(s2)])],[91]),
[iquote('1:Spt:14286.0,91.1')] ).
cnf(14309,plain,
equal(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(mrr,[status(thm)],[575,14287]),
[iquote('1:MRR:575.0,14287.0')] ).
cnf(14317,plain,
equal(skf31(xK,szDzozmdt0(xc)),slcrc0),
inference(mrr,[status(thm)],[6789,6188]),
[iquote('0:MRR:6789.0,6188.0')] ).
cnf(14427,plain,
( ~ aFunction0(xc)
| ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(rew,[status(thm),theory(equality)],[14309,6211,14317]),
[iquote('1:Rew:14309.0,6211.2,14317.0,6211.1')] ).
cnf(14428,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(ssi,[status(thm)],[14427,7]),
[iquote('1:SSi:14427.0,7.0')] ).
cnf(14429,plain,
aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(mrr,[status(thm)],[14428,158]),
[iquote('1:MRR:14428.0,158.0')] ).
cnf(14430,plain,
$false,
inference(mrr,[status(thm)],[14429,14287]),
[iquote('1:MRR:14429.0,14287.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM566+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jul 6 12:03:59 EDT 2022
% 0.11/0.33 % CPUTime :
% 5.74/6.00
% 5.74/6.00 SPASS V 3.9
% 5.74/6.00 SPASS beiseite: Proof found.
% 5.74/6.00 % SZS status Theorem
% 5.74/6.00 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.74/6.00 SPASS derived 10368 clauses, backtracked 1556 clauses, performed 19 splits and kept 5025 clauses.
% 5.74/6.00 SPASS allocated 110250 KBytes.
% 5.74/6.00 SPASS spent 0:00:05.66 on the problem.
% 5.74/6.00 0:00:00.04 for the input.
% 5.74/6.00 0:00:00.28 for the FLOTTER CNF translation.
% 5.74/6.00 0:00:00.17 for inferences.
% 5.74/6.00 0:00:00.11 for the backtracking.
% 5.74/6.00 0:00:04.98 for the reduction.
% 5.74/6.00
% 5.74/6.00
% 5.74/6.00 Here is a proof with depth 4, length 98 :
% 5.74/6.00 % SZS output start Refutation
% See solution above
% 6.00/6.19 Formulae used in the proof : mNATSet m__3291 m__3435 m__3453 m__3418 m__3462 mSegZero m__3476 mSubRefl mDomSet mDefEmp mDefSub mNoScLessZr mCardEmpty mSubFSet m__3507 mImgRng mSubASymm m__ mDefSel mDefSeg
% 6.00/6.19
%------------------------------------------------------------------------------