TSTP Solution File: NUM563+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM563+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 14:27:32 EDT 2022
% Result : Theorem 6.99s 7.15s
% Output : Refutation 7.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of clauses : 101 ( 31 unt; 10 nHn; 101 RR)
% Number of literals : 253 ( 0 equ; 155 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
isFinite0(slcrc0),
file('NUM563+1.p',unknown),
[] ).
cnf(2,axiom,
aSet0(szNzAzT0),
file('NUM563+1.p',unknown),
[] ).
cnf(3,axiom,
isCountable0(szNzAzT0),
file('NUM563+1.p',unknown),
[] ).
cnf(4,axiom,
aSet0(xT),
file('NUM563+1.p',unknown),
[] ).
cnf(5,axiom,
isFinite0(xT),
file('NUM563+1.p',unknown),
[] ).
cnf(6,axiom,
isCountable0(xS),
file('NUM563+1.p',unknown),
[] ).
cnf(7,axiom,
aFunction0(xc),
file('NUM563+1.p',unknown),
[] ).
cnf(8,axiom,
equal(sz00,xK),
file('NUM563+1.p',unknown),
[] ).
cnf(10,axiom,
aElementOf0(xK,szNzAzT0),
file('NUM563+1.p',unknown),
[] ).
cnf(11,axiom,
aSubsetOf0(xS,szNzAzT0),
file('NUM563+1.p',unknown),
[] ).
cnf(13,axiom,
equal(slbdtrb0(sz00),slcrc0),
file('NUM563+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ equal(u,slcrc0)
| aSet0(u) ),
file('NUM563+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ aSet0(u)
| aSubsetOf0(u,u) ),
file('NUM563+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ aFunction0(u)
| aSet0(szDzozmdt0(u)) ),
file('NUM563+1.p',unknown),
[] ).
cnf(22,axiom,
equal(slbdtsldtrb0(xS,xK),szDzozmdt0(xc)),
file('NUM563+1.p',unknown),
[] ).
cnf(23,axiom,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
file('NUM563+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ aElementOf0(u,v)
| ~ equal(v,slcrc0) ),
file('NUM563+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ isFinite0(u)
| ~ isCountable0(u)
| ~ aSet0(u) ),
file('NUM563+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM563+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),sz00)
| equal(u,slcrc0) ),
file('NUM563+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ isFinite0(u)
| ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| isFinite0(v) ),
file('NUM563+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM563+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElementOf0(skf24(v,w),v) ),
file('NUM563+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| ~ equal(slbdtsldtrb0(u,v),slcrc0)
| isFinite0(u) ),
file('NUM563+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ aFunction0(u)
| ~ aElementOf0(v,szDzozmdt0(u))
| aElementOf0(sdtlpdtrp0(u,v),sdtlcdtrc0(u,szDzozmdt0(u))) ),
file('NUM563+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(u,v)
| equal(u,v) ),
file('NUM563+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ isCountable0(u)
| ~ aElementOf0(v,xT)
| ~ aSubsetOf0(u,xS)
| aElementOf0(skf22(u,w),slbdtsldtrb0(u,xK)) ),
file('NUM563+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,xS)
| ~ aElementOf0(v,xT)
| ~ equal(sdtlpdtrp0(xc,skf22(u,v)),v) ),
file('NUM563+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| aSubsetOf0(v,u) ),
file('NUM563+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aSubsetOf0(u,v)
| ~ aSubsetOf0(v,w)
| aSubsetOf0(u,w) ),
file('NUM563+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| equal(sbrdtbr0(v),x) ),
file('NUM563+1.p',unknown),
[] ).
cnf(154,plain,
equal(slbdtrb0(xK),slcrc0),
inference(rew,[status(thm),theory(equality)],[8,13]),
[iquote('0:Rew:8.0,13.0')] ).
cnf(160,plain,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),xK)
| equal(u,slcrc0) ),
inference(rew,[status(thm),theory(equality)],[8,48]),
[iquote('0:Rew:8.0,48.1')] ).
cnf(163,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(u,v)
| equal(v,u) ),
inference(mrr,[status(thm)],[80,36]),
[iquote('0:MRR:80.0,36.2')] ).
cnf(166,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(mrr,[status(thm)],[109,36]),
[iquote('0:MRR:109.0,109.1,36.2,36.2')] ).
cnf(180,plain,
aSet0(slbdtrb0(xK)),
inference(res,[status(thm),theory(equality)],[154,17]),
[iquote('0:Res:154.0,17.0')] ).
cnf(181,plain,
~ aElementOf0(u,slbdtrb0(xK)),
inference(res,[status(thm),theory(equality)],[154,29]),
[iquote('0:Res:154.0,29.1')] ).
cnf(218,plain,
( ~ aElementOf0(u,xT)
| ~ aSubsetOf0(xS,xS)
| ~ equal(sdtlpdtrp0(xc,skf22(xS,u)),u) ),
inference(res,[status(thm),theory(equality)],[6,95]),
[iquote('0:Res:6.0,95.0')] ).
cnf(228,plain,
aSet0(slcrc0),
inference(rew,[status(thm),theory(equality)],[154,180]),
[iquote('0:Rew:154.0,180.0')] ).
cnf(232,plain,
~ aElementOf0(u,slcrc0),
inference(rew,[status(thm),theory(equality)],[154,181]),
[iquote('0:Rew:154.0,181.0')] ).
cnf(248,plain,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,xS)
| aElementOf0(skf22(u,v),slbdtsldtrb0(u,xK)) ),
inference(spt,[spt(split,[position(s1)])],[89]),
[iquote('1:Spt:89.0,89.2,89.3')] ).
cnf(251,plain,
( ~ isCountable0(xS)
| ~ aSubsetOf0(xS,xS)
| aElementOf0(skf22(xS,u),szDzozmdt0(xc)) ),
inference(spr,[status(thm),theory(equality)],[22,248]),
[iquote('1:SpR:22.0,248.2')] ).
cnf(253,plain,
( ~ aSubsetOf0(xS,xS)
| aElementOf0(skf22(xS,u),szDzozmdt0(xc)) ),
inference(ssi,[status(thm)],[251,6]),
[iquote('1:SSi:251.0,6.0')] ).
cnf(302,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(res,[status(thm),theory(equality)],[11,36]),
[iquote('0:Res:11.0,36.1')] ).
cnf(303,plain,
( ~ aSet0(xT)
| aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(res,[status(thm),theory(equality)],[23,36]),
[iquote('0:Res:23.0,36.1')] ).
cnf(304,plain,
aSet0(xS),
inference(ssi,[status(thm)],[302,3,2]),
[iquote('0:SSi:302.0,3.0,2.0')] ).
cnf(306,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(ssi,[status(thm)],[303,5,4]),
[iquote('0:SSi:303.0,5.0,4.0')] ).
cnf(485,plain,
( ~ isFinite0(xT)
| ~ aSet0(xT)
| isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(res,[status(thm),theory(equality)],[23,51]),
[iquote('0:Res:23.0,51.2')] ).
cnf(488,plain,
isFinite0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(ssi,[status(thm)],[485,5,4]),
[iquote('0:SSi:485.1,485.0,5.0,4.0,5.0,4.0')] ).
cnf(657,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aSubsetOf0(u,v)
| aElementOf0(skf24(v,w),v)
| equal(v,u) ),
inference(res,[status(thm),theory(equality)],[61,163]),
[iquote('0:Res:61.2,163.1')] ).
cnf(669,plain,
( ~ aSet0(u)
| ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,u) ),
inference(res,[status(thm),theory(equality)],[61,232]),
[iquote('0:Res:61.3,232.0')] ).
cnf(674,plain,
( ~ aSet0(u)
| aSubsetOf0(slcrc0,u) ),
inference(ssi,[status(thm)],[669,1,228]),
[iquote('0:SSi:669.1,1.0,228.0')] ).
cnf(688,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf24(u,w),u)
| equal(u,v) ),
inference(obv,[status(thm),theory(equality)],[657]),
[iquote('0:Obv:657.0')] ).
cnf(689,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf24(u,w),u)
| equal(u,v) ),
inference(mrr,[status(thm)],[688,36]),
[iquote('0:MRR:688.1,36.2')] ).
cnf(762,plain,
( ~ aSet0(xT)
| ~ aSubsetOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aSubsetOf0(u,xT) ),
inference(res,[status(thm),theory(equality)],[23,166]),
[iquote('0:Res:23.0,166.1')] ).
cnf(768,plain,
( ~ aSubsetOf0(u,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aSubsetOf0(u,xT) ),
inference(ssi,[status(thm)],[762,5,4]),
[iquote('0:SSi:762.0,5.0,4.0')] ).
cnf(954,plain,
( ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aSet0(u)
| aElementOf0(skf24(u,v),u)
| aSubsetOf0(u,xT) ),
inference(res,[status(thm),theory(equality)],[61,768]),
[iquote('0:Res:61.2,768.0')] ).
cnf(957,plain,
( ~ aSet0(u)
| aElementOf0(skf24(u,v),u)
| aSubsetOf0(u,xT) ),
inference(ssi,[status(thm)],[954,306,488]),
[iquote('0:SSi:954.0,306.0,488.0')] ).
cnf(997,plain,
( ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(szDzozmdt0(xc),slcrc0)
| isFinite0(xS) ),
inference(spl,[status(thm),theory(equality)],[22,73]),
[iquote('0:SpL:22.0,73.2')] ).
cnf(1409,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)],[77,60]),
[iquote('0:Res:77.2,60.1')] ).
cnf(2627,plain,
( ~ aSet0(xS)
| ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(spl,[status(thm),theory(equality)],[22,101]),
[iquote('0:SpL:22.0,101.3')] ).
cnf(2628,plain,
( ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(ssi,[status(thm)],[2627,6,304]),
[iquote('0:SSi:2627.0,6.0,304.0')] ).
cnf(2629,plain,
( ~ aElementOf0(u,v)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(mrr,[status(thm)],[2628,10]),
[iquote('0:MRR:2628.1,10.0')] ).
cnf(2630,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(eqr,[status(thm),theory(equality)],[2629]),
[iquote('0:EqR:2629.1')] ).
cnf(2640,plain,
( ~ aSubsetOf0(xS,xS)
| aSubsetOf0(skf22(xS,u),xS) ),
inference(res,[status(thm),theory(equality)],[253,2630]),
[iquote('1:Res:253.1,2630.0')] ).
cnf(2678,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(xS,xS)
| aSet0(skf22(xS,u)) ),
inference(res,[status(thm),theory(equality)],[2640,36]),
[iquote('1:Res:2640.1,36.1')] ).
cnf(2679,plain,
( ~ aSubsetOf0(xS,xS)
| aSet0(skf22(xS,u)) ),
inference(ssi,[status(thm)],[2678,6,304]),
[iquote('1:SSi:2678.0,6.0,304.0')] ).
cnf(3019,plain,
( ~ aSet0(xS)
| ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(spl,[status(thm),theory(equality)],[22,112]),
[iquote('0:SpL:22.0,112.3')] ).
cnf(3020,plain,
( ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(ssi,[status(thm)],[3019,6,304]),
[iquote('0:SSi:3019.0,6.0,304.0')] ).
cnf(3021,plain,
( ~ aElementOf0(u,v)
| ~ equal(v,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(mrr,[status(thm)],[3020,10]),
[iquote('0:MRR:3020.1,10.0')] ).
cnf(7615,plain,
( ~ aSubsetOf0(xS,xS)
| ~ equal(szDzozmdt0(xc),szDzozmdt0(xc))
| equal(sbrdtbr0(skf22(xS,u)),xK) ),
inference(res,[status(thm),theory(equality)],[253,3021]),
[iquote('1:Res:253.1,3021.0')] ).
cnf(7622,plain,
( ~ aSubsetOf0(xS,xS)
| equal(sbrdtbr0(skf22(xS,u)),xK) ),
inference(obv,[status(thm),theory(equality)],[7615]),
[iquote('1:Obv:7615.1')] ).
cnf(7761,plain,
( ~ aSet0(skf22(xS,u))
| ~ aSubsetOf0(xS,xS)
| ~ equal(xK,xK)
| equal(skf22(xS,u),slcrc0) ),
inference(spl,[status(thm),theory(equality)],[7622,160]),
[iquote('1:SpL:7622.1,160.1')] ).
cnf(7764,plain,
( ~ aSet0(skf22(xS,u))
| ~ aSubsetOf0(xS,xS)
| equal(skf22(xS,u),slcrc0) ),
inference(obv,[status(thm),theory(equality)],[7761]),
[iquote('1:Obv:7761.2')] ).
cnf(7765,plain,
( ~ aSubsetOf0(xS,xS)
| equal(skf22(xS,u),slcrc0) ),
inference(mrr,[status(thm)],[7764,2679]),
[iquote('1:MRR:7764.0,2679.1')] ).
cnf(7770,plain,
( ~ aSubsetOf0(xS,xS)
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(rew,[status(thm),theory(equality)],[7765,253]),
[iquote('1:Rew:7765.1,253.1')] ).
cnf(7776,plain,
( ~ aElementOf0(u,xT)
| ~ aSubsetOf0(xS,xS)
| ~ equal(sdtlpdtrp0(xc,slcrc0),u) ),
inference(rew,[status(thm),theory(equality)],[7765,218]),
[iquote('1:Rew:7765.1,218.2')] ).
cnf(7795,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(eqr,[status(thm),theory(equality)],[7776]),
[iquote('1:EqR:7776.2')] ).
cnf(8142,plain,
( ~ aSet0(u)
| ~ aSet0(u)
| aElementOf0(skf24(u,v),u)
| equal(u,slcrc0) ),
inference(res,[status(thm),theory(equality)],[674,689]),
[iquote('0:Res:674.1,689.1')] ).
cnf(8162,plain,
( ~ aSet0(u)
| aElementOf0(skf24(u,v),u)
| equal(u,slcrc0) ),
inference(obv,[status(thm),theory(equality)],[8142]),
[iquote('0:Obv:8142.0')] ).
cnf(17156,plain,
( ~ aFunction0(xc)
| ~ aSet0(xT)
| ~ aElementOf0(u,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,u),xT) ),
inference(res,[status(thm),theory(equality)],[23,1409]),
[iquote('0:Res:23.0,1409.3')] ).
cnf(17162,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,u),xT) ),
inference(ssi,[status(thm)],[17156,5,4,7]),
[iquote('0:SSi:17156.1,17156.0,5.0,4.0,7.0')] ).
cnf(17182,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS) ),
inference(res,[status(thm),theory(equality)],[17162,7795]),
[iquote('1:Res:17162.1,7795.0')] ).
cnf(17198,plain,
~ aSubsetOf0(xS,xS),
inference(mrr,[status(thm)],[17182,7770]),
[iquote('1:MRR:17182.0,7770.1')] ).
cnf(17306,plain,
~ aSet0(xS),
inference(res,[status(thm),theory(equality)],[19,17198]),
[iquote('1:Res:19.1,17198.0')] ).
cnf(17309,plain,
$false,
inference(ssi,[status(thm)],[17306,6,304]),
[iquote('1:SSi:17306.0,6.0,304.0')] ).
cnf(17310,plain,
~ aElementOf0(u,xT),
inference(spt,[spt(split,[position(s2)])],[89]),
[iquote('1:Spt:17309.0,89.1')] ).
cnf(17312,plain,
~ aElementOf0(u,szDzozmdt0(xc)),
inference(mrr,[status(thm)],[17162,17310]),
[iquote('1:MRR:17162.1,17310.0')] ).
cnf(17356,plain,
( ~ aElementOf0(xK,szNzAzT0)
| ~ equal(szDzozmdt0(xc),slcrc0)
| isFinite0(xS) ),
inference(ssi,[status(thm)],[997,6,304]),
[iquote('0:SSi:997.0,6.0,304.0')] ).
cnf(17357,plain,
( ~ equal(szDzozmdt0(xc),slcrc0)
| isFinite0(xS) ),
inference(mrr,[status(thm)],[17356,10]),
[iquote('0:MRR:17356.0,10.0')] ).
cnf(17403,plain,
( ~ aSet0(xT)
| equal(slcrc0,xT) ),
inference(res,[status(thm),theory(equality)],[8162,17310]),
[iquote('1:Res:8162.1,17310.0')] ).
cnf(17420,plain,
equal(slcrc0,xT),
inference(ssi,[status(thm)],[17403,5,4]),
[iquote('1:SSi:17403.0,5.0,4.0')] ).
cnf(17803,plain,
( ~ equal(szDzozmdt0(xc),xT)
| isFinite0(xS) ),
inference(rew,[status(thm),theory(equality)],[17420,17357]),
[iquote('1:Rew:17420.0,17357.0')] ).
cnf(18066,plain,
( ~ aSet0(szDzozmdt0(xc))
| aSubsetOf0(szDzozmdt0(xc),xT) ),
inference(res,[status(thm),theory(equality)],[957,17312]),
[iquote('1:Res:957.1,17312.0')] ).
cnf(18085,plain,
aSubsetOf0(szDzozmdt0(xc),xT),
inference(ssi,[status(thm)],[18066,21,7]),
[iquote('1:SSi:18066.0,21.0,7.1')] ).
cnf(18106,plain,
( ~ aSet0(xT)
| aElementOf0(skf24(xT,u),xT)
| equal(szDzozmdt0(xc),xT) ),
inference(res,[status(thm),theory(equality)],[18085,689]),
[iquote('1:Res:18085.0,689.1')] ).
cnf(18114,plain,
( aElementOf0(skf24(xT,u),xT)
| equal(szDzozmdt0(xc),xT) ),
inference(ssi,[status(thm)],[18106,5,4]),
[iquote('1:SSi:18106.0,5.0,4.0')] ).
cnf(18115,plain,
equal(szDzozmdt0(xc),xT),
inference(mrr,[status(thm)],[18114,17310]),
[iquote('1:MRR:18114.0,17310.0')] ).
cnf(18212,plain,
( ~ equal(xT,xT)
| isFinite0(xS) ),
inference(rew,[status(thm),theory(equality)],[18115,17803]),
[iquote('1:Rew:18115.0,17803.0')] ).
cnf(18223,plain,
isFinite0(xS),
inference(obv,[status(thm),theory(equality)],[18212]),
[iquote('1:Obv:18212.0')] ).
cnf(18396,plain,
$false,
inference(ems,[status(thm)],[35,18223,6,304]),
[iquote('1:EmS:35.0,35.1,35.2,18223.0,6.0,304.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM563+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 09:56:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 6.99/7.15
% 6.99/7.15 SPASS V 3.9
% 6.99/7.15 SPASS beiseite: Proof found.
% 6.99/7.15 % SZS status Theorem
% 6.99/7.15 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.99/7.15 SPASS derived 13496 clauses, backtracked 1933 clauses, performed 30 splits and kept 6662 clauses.
% 6.99/7.15 SPASS allocated 112521 KBytes.
% 6.99/7.15 SPASS spent 0:00:06.79 on the problem.
% 6.99/7.15 0:00:00.02 for the input.
% 6.99/7.15 0:00:00.23 for the FLOTTER CNF translation.
% 6.99/7.15 0:00:00.21 for inferences.
% 6.99/7.15 0:00:00.22 for the backtracking.
% 6.99/7.15 0:00:06.01 for the reduction.
% 6.99/7.15
% 6.99/7.15
% 6.99/7.15 Here is a proof with depth 4, length 101 :
% 6.99/7.15 % SZS output start Refutation
% See solution above
% 7.34/7.52 Formulae used in the proof : mEmpFin mNATSet m__3291 m__3435 m__3453 m__ m__3418 mSegZero mDefEmp mSubRefl mDomSet mCountNFin mDefSub mCardEmpty mSubFSet mSelNSet mImgRng mSubASymm mDefSel mSubTrans
% 7.34/7.52
%------------------------------------------------------------------------------