%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM565+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 1.38s 1.59s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of clauses : 117 ( 45 unt; 18 nHn; 117 RR)
% Number of literals : 261 ( 0 equ; 139 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 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('NUM565+1.p',unknown),
[] ).
cnf(2,axiom,
aSet0(szNzAzT0),
file('NUM565+1.p',unknown),
[] ).
cnf(3,axiom,
isCountable0(szNzAzT0),
file('NUM565+1.p',unknown),
[] ).
cnf(6,axiom,
isCountable0(xS),
file('NUM565+1.p',unknown),
[] ).
cnf(7,axiom,
aFunction0(xc),
file('NUM565+1.p',unknown),
[] ).
cnf(9,axiom,
aElementOf0(xK,szNzAzT0),
file('NUM565+1.p',unknown),
[] ).
cnf(10,axiom,
aSubsetOf0(xS,szNzAzT0),
file('NUM565+1.p',unknown),
[] ).
cnf(11,axiom,
equal(sz00,xK),
file('NUM565+1.p',unknown),
[] ).
cnf(13,axiom,
equal(slbdtrb0(sz00),slcrc0),
file('NUM565+1.p',unknown),
[] ).
cnf(15,axiom,
aElementOf0(skc1,slbdtsldtrb0(xS,sz00)),
file('NUM565+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ equal(u,slcrc0)
| aSet0(u) ),
file('NUM565+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ aSet0(u)
| aElement0(sbrdtbr0(u)) ),
file('NUM565+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ aFunction0(u)
| aSet0(szDzozmdt0(u)) ),
file('NUM565+1.p',unknown),
[] ).
cnf(24,axiom,
equal(slbdtsldtrb0(xS,xK),szDzozmdt0(xc)),
file('NUM565+1.p',unknown),
[] ).
cnf(31,axiom,
~ equal(sdtlpdtrp0(xc,slcrc0),sdtlpdtrp0(xc,skc1)),
file('NUM565+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ aElementOf0(u,v)
| ~ equal(v,slcrc0) ),
file('NUM565+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ aElementOf0(u,szNzAzT0)
| aElementOf0(szszuzczcdt0(u),szNzAzT0) ),
file('NUM565+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('NUM565+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ isFinite0(u)
| ~ isCountable0(u)
| ~ aSet0(u) ),
file('NUM565+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM565+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ aElementOf0(u,szNzAzT0)
| equal(sbrdtbr0(slbdtrb0(u)),u) ),
file('NUM565+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),sz00)
| equal(u,slcrc0) ),
file('NUM565+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ aElementOf0(u,szNzAzT0)
| ~ equal(v,slbdtrb0(u))
| aSet0(v) ),
file('NUM565+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ isFinite0(u)
| ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| isFinite0(v) ),
file('NUM565+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM565+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElementOf0(skf22(v,w),v) ),
file('NUM565+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ aSubsetOf0(u,szNzAzT0)
| ~ equal(v,szmzizndt0(u))
| aElementOf0(v,u)
| equal(u,slcrc0) ),
file('NUM565+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| aSubsetOf0(v,u) ),
file('NUM565+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aSubsetOf0(u,v)
| ~ aSubsetOf0(v,w)
| aSubsetOf0(u,w) ),
file('NUM565+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(x,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,x))
| equal(sbrdtbr0(v),x) ),
file('NUM565+1.p',unknown),
[] ).
cnf(155,plain,
equal(slbdtrb0(xK),slcrc0),
inference(rew,[status(thm),theory(equality)],[11,13]),
[iquote('0:Rew:11.0,13.0')] ).
cnf(157,plain,
aElementOf0(skc1,slbdtsldtrb0(xS,xK)),
inference(rew,[status(thm),theory(equality)],[11,15]),
[iquote('0:Rew:11.0,15.0')] ).
cnf(159,plain,
aElementOf0(skc1,szDzozmdt0(xc)),
inference(rew,[status(thm),theory(equality)],[24,157]),
[iquote('0:Rew:24.0,157.0')] ).
cnf(165,plain,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),xK)
| equal(u,slcrc0) ),
inference(rew,[status(thm),theory(equality)],[11,51]),
[iquote('0:Rew:11.0,51.1')] ).
cnf(171,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(mrr,[status(thm)],[110,39]),
[iquote('0:MRR:110.0,110.1,39.2,39.2')] ).
cnf(181,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(szDzozmdt0(xc),u)
| aElementOf0(skc1,u) ),
inference(res,[status(thm),theory(equality)],[159,63]),
[iquote('0:Res:159.0,63.2')] ).
cnf(197,plain,
( ~ aSet0(szDzozmdt0(xc))
| aElement0(skc1) ),
inference(res,[status(thm),theory(equality)],[159,37]),
[iquote('0:Res:159.0,37.1')] ).
cnf(229,plain,
( ~ aFunction0(xc)
| aElement0(skc1) ),
inference(sor,[status(thm)],[197,23]),
[iquote('0:SoR:197.0,23.1')] ).
cnf(230,plain,
aElement0(skc1),
inference(ssi,[status(thm)],[229,7]),
[iquote('0:SSi:229.0,7.0')] ).
cnf(254,plain,
( ~ aSet0(slbdtrb0(u))
| ~ aElementOf0(u,szNzAzT0)
| aElement0(u) ),
inference(spr,[status(thm),theory(equality)],[44,22]),
[iquote('0:SpR:44.1,22.1')] ).
cnf(269,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(u,szNzAzT0)
| aElement0(szszuzczcdt0(u)) ),
inference(res,[status(thm),theory(equality)],[34,37]),
[iquote('0:Res:34.1,37.1')] ).
cnf(276,plain,
( ~ aElementOf0(u,szNzAzT0)
| aElement0(szszuzczcdt0(u)) ),
inference(ssi,[status(thm)],[269,3,2]),
[iquote('0:SSi:269.0,3.0,2.0')] ).
cnf(277,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(res,[status(thm),theory(equality)],[10,39]),
[iquote('0:Res:10.0,39.1')] ).
cnf(280,plain,
aSet0(xS),
inference(ssi,[status(thm)],[277,3,2]),
[iquote('0:SSi:277.0,3.0,2.0')] ).
cnf(329,plain,
( ~ aElementOf0(u,szNzAzT0)
| aSet0(slbdtrb0(u)) ),
inference(eqr,[status(thm),theory(equality)],[53]),
[iquote('0:EqR:53.1')] ).
cnf(331,plain,
( ~ aElementOf0(u,szNzAzT0)
| aElement0(u) ),
inference(mrr,[status(thm)],[254,329]),
[iquote('0:MRR:254.0,329.1')] ).
cnf(339,plain,
aSet0(slbdtrb0(xK)),
inference(res,[status(thm),theory(equality)],[9,329]),
[iquote('0:Res:9.0,329.0')] ).
cnf(345,plain,
aSet0(slcrc0),
inference(rew,[status(thm),theory(equality)],[155,339]),
[iquote('0:Rew:155.0,339.0')] ).
cnf(592,plain,
( ~ aSet0(u)
| ~ aSet0(szDzozmdt0(xc))
| ~ aSet0(u)
| aElementOf0(skf22(szDzozmdt0(xc),v),szDzozmdt0(xc))
| aElementOf0(skc1,u) ),
inference(res,[status(thm),theory(equality)],[64,181]),
[iquote('0:Res:64.2,181.1')] ).
cnf(597,plain,
( ~ aSet0(u)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(szNzAzT0,u)
| aSet0(slbdtrb0(skf22(szNzAzT0,v))) ),
inference(res,[status(thm),theory(equality)],[64,329]),
[iquote('0:Res:64.3,329.0')] ).
cnf(598,plain,
( ~ aSet0(u)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(szNzAzT0,u)
| aElement0(skf22(szNzAzT0,v)) ),
inference(res,[status(thm),theory(equality)],[64,331]),
[iquote('0:Res:64.3,331.0')] ).
cnf(599,plain,
( ~ aSet0(u)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(szNzAzT0,u)
| aElement0(szszuzczcdt0(skf22(szNzAzT0,v))) ),
inference(res,[status(thm),theory(equality)],[64,276]),
[iquote('0:Res:64.3,276.0')] ).
cnf(606,plain,
( ~ aSet0(u)
| aSubsetOf0(szNzAzT0,u)
| aElement0(skf22(szNzAzT0,v)) ),
inference(ssi,[status(thm)],[598,3,2]),
[iquote('0:SSi:598.1,3.0,2.0')] ).
cnf(608,plain,
( ~ aSet0(u)
| aSubsetOf0(szNzAzT0,u)
| aSet0(slbdtrb0(skf22(szNzAzT0,v))) ),
inference(ssi,[status(thm)],[597,3,2]),
[iquote('0:SSi:597.1,3.0,2.0')] ).
cnf(609,plain,
( ~ aSet0(u)
| aSubsetOf0(szNzAzT0,u)
| aElement0(szszuzczcdt0(skf22(szNzAzT0,v))) ),
inference(ssi,[status(thm)],[599,3,2]),
[iquote('0:SSi:599.1,3.0,2.0')] ).
cnf(616,plain,
( ~ aSet0(szDzozmdt0(xc))
| ~ aSet0(u)
| aElementOf0(skf22(szDzozmdt0(xc),v),szDzozmdt0(xc))
| aElementOf0(skc1,u) ),
inference(obv,[status(thm),theory(equality)],[592]),
[iquote('0:Obv:592.0')] ).
cnf(617,plain,
( ~ aSet0(u)
| aElementOf0(skf22(szDzozmdt0(xc),v),szDzozmdt0(xc))
| aElementOf0(skc1,u) ),
inference(ssi,[status(thm)],[616,23,7]),
[iquote('0:SSi:616.0,23.0,7.1')] ).
cnf(644,plain,
( ~ aSet0(u)
| aSubsetOf0(szNzAzT0,u) ),
inference(spt,[spt(split,[position(s1)])],[606]),
[iquote('1:Spt:606.0,606.1')] ).
cnf(647,plain,
( ~ aSet0(u)
| ~ isFinite0(u)
| ~ aSet0(u)
| isFinite0(szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[644,54]),
[iquote('1:Res:644.1,54.2')] ).
cnf(658,plain,
( ~ isFinite0(u)
| ~ aSet0(u)
| isFinite0(szNzAzT0) ),
inference(obv,[status(thm),theory(equality)],[647]),
[iquote('1:Obv:647.0')] ).
cnf(712,plain,
isFinite0(szNzAzT0),
inference(ems,[status(thm)],[658,1,345]),
[iquote('1:EmS:658.0,658.1,1.0,345.0')] ).
cnf(805,plain,
$false,
inference(ems,[status(thm)],[38,712,3,2]),
[iquote('1:EmS:38.0,38.1,38.2,712.0,3.0,2.0')] ).
cnf(808,plain,
aElement0(skf22(szNzAzT0,u)),
inference(spt,[spt(split,[position(s2)])],[606]),
[iquote('1:Spt:805.0,606.2')] ).
cnf(821,plain,
( ~ aSet0(szNzAzT0)
| ~ aSubsetOf0(u,xS)
| aSubsetOf0(u,szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[10,171]),
[iquote('0:Res:10.0,171.1')] ).
cnf(825,plain,
( ~ aSubsetOf0(u,xS)
| aSubsetOf0(u,szNzAzT0) ),
inference(ssi,[status(thm)],[821,3,2]),
[iquote('0:SSi:821.0,3.0,2.0')] ).
cnf(830,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(szNzAzT0,u)
| aElementOf0(xK,u) ),
inference(res,[status(thm),theory(equality)],[9,63]),
[iquote('0:Res:9.0,63.1')] ).
cnf(847,plain,
( ~ aSet0(u)
| ~ aSet0(szNzAzT0)
| ~ aSet0(u)
| aElementOf0(skf22(szNzAzT0,v),szNzAzT0)
| aElementOf0(xK,u) ),
inference(res,[status(thm),theory(equality)],[64,830]),
[iquote('0:Res:64.2,830.1')] ).
cnf(850,plain,
( ~ aSet0(szNzAzT0)
| ~ aSet0(u)
| aElementOf0(skf22(szNzAzT0,v),szNzAzT0)
| aElementOf0(xK,u) ),
inference(obv,[status(thm),theory(equality)],[847]),
[iquote('0:Obv:847.0')] ).
cnf(851,plain,
( ~ aSet0(u)
| aElementOf0(skf22(szNzAzT0,v),szNzAzT0)
| aElementOf0(xK,u) ),
inference(ssi,[status(thm)],[850,3,2]),
[iquote('0:SSi:850.0,3.0,2.0')] ).
cnf(943,plain,
( ~ aSet0(u)
| aSubsetOf0(szNzAzT0,u) ),
inference(spt,[spt(split,[position(s2s1)])],[608]),
[iquote('2:Spt:608.0,608.1')] ).
cnf(944,plain,
( ~ aSet0(u)
| aElementOf0(xK,u) ),
inference(mrr,[status(thm)],[830,943]),
[iquote('2:MRR:830.1,943.1')] ).
cnf(991,plain,
( ~ aSet0(u)
| ~ equal(u,slcrc0) ),
inference(res,[status(thm),theory(equality)],[944,32]),
[iquote('2:Res:944.1,32.0')] ).
cnf(996,plain,
~ equal(u,slcrc0),
inference(mrr,[status(thm)],[991,19]),
[iquote('2:MRR:991.0,19.1')] ).
cnf(997,plain,
$false,
inference(unc,[status(thm)],[996,155]),
[iquote('2:UnC:996.0,155.0')] ).
cnf(1002,plain,
aSet0(slbdtrb0(skf22(szNzAzT0,u))),
inference(spt,[spt(split,[position(s2s2)])],[608]),
[iquote('2:Spt:997.0,608.2')] ).
cnf(1050,plain,
( ~ aSet0(u)
| aSubsetOf0(szNzAzT0,u) ),
inference(spt,[spt(split,[position(s2s2s1)])],[609]),
[iquote('3:Spt:609.0,609.1')] ).
cnf(1051,plain,
( ~ aSet0(u)
| aElementOf0(xK,u) ),
inference(mrr,[status(thm)],[830,1050]),
[iquote('3:MRR:830.1,1050.1')] ).
cnf(1088,plain,
( ~ aSubsetOf0(u,szNzAzT0)
| aElementOf0(szmzizndt0(u),u)
| equal(u,slcrc0) ),
inference(eqr,[status(thm),theory(equality)],[74]),
[iquote('0:EqR:74.1')] ).
cnf(1099,plain,
( ~ aSet0(u)
| ~ equal(u,slcrc0) ),
inference(res,[status(thm),theory(equality)],[1051,32]),
[iquote('3:Res:1051.1,32.0')] ).
cnf(1103,plain,
~ equal(u,slcrc0),
inference(mrr,[status(thm)],[1099,19]),
[iquote('3:MRR:1099.0,19.1')] ).
cnf(1104,plain,
$false,
inference(unc,[status(thm)],[1103,155]),
[iquote('3:UnC:1103.0,155.0')] ).
cnf(1108,plain,
aElement0(szszuzczcdt0(skf22(szNzAzT0,u))),
inference(spt,[spt(split,[position(s2s2s2)])],[609]),
[iquote('3:Spt:1104.0,609.2')] ).
cnf(1151,plain,
( ~ aSet0(u)
| aElementOf0(xK,u) ),
inference(spt,[spt(split,[position(s2s2s2s1)])],[851]),
[iquote('4:Spt:851.0,851.2')] ).
cnf(1161,plain,
( ~ aSet0(u)
| ~ equal(u,slcrc0) ),
inference(res,[status(thm),theory(equality)],[1151,32]),
[iquote('4:Res:1151.1,32.0')] ).
cnf(1165,plain,
~ equal(u,slcrc0),
inference(mrr,[status(thm)],[1161,19]),
[iquote('4:MRR:1161.0,19.1')] ).
cnf(1166,plain,
$false,
inference(unc,[status(thm)],[1165,155]),
[iquote('4:UnC:1165.0,155.0')] ).
cnf(1170,plain,
aElementOf0(skf22(szNzAzT0,u),szNzAzT0),
inference(spt,[spt(split,[position(s2s2s2s2)])],[851]),
[iquote('4:Spt:1166.0,851.1')] ).
cnf(1206,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(u,szNzAzT0)
| equal(u,slcrc0)
| aElement0(szmzizndt0(u)) ),
inference(res,[status(thm),theory(equality)],[1088,37]),
[iquote('0:Res:1088.1,37.1')] ).
cnf(2077,plain,
( ~ aSet0(u)
| aElementOf0(skc1,u) ),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[617]),
[iquote('5:Spt:617.0,617.2')] ).
cnf(2089,plain,
( ~ aSet0(u)
| ~ equal(u,slcrc0) ),
inference(res,[status(thm),theory(equality)],[2077,32]),
[iquote('5:Res:2077.1,32.0')] ).
cnf(2101,plain,
~ equal(u,slcrc0),
inference(mrr,[status(thm)],[2089,19]),
[iquote('5:MRR:2089.0,19.1')] ).
cnf(2102,plain,
$false,
inference(unc,[status(thm)],[2101,155]),
[iquote('5:UnC:2101.0,155.0')] ).
cnf(2111,plain,
aElementOf0(skf22(szDzozmdt0(xc),u),szDzozmdt0(xc)),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[617]),
[iquote('5:Spt:2102.0,617.1')] ).
cnf(2300,plain,
( ~ aSet0(xS)
| ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(spl,[status(thm),theory(equality)],[24,102]),
[iquote('0:SpL:24.0,102.3')] ).
cnf(2301,plain,
( ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(ssi,[status(thm)],[2300,280,6]),
[iquote('0:SSi:2300.0,280.0,6.0')] ).
cnf(2302,plain,
( ~ aElementOf0(u,v)
| ~ equal(v,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(mrr,[status(thm)],[2301,9]),
[iquote('0:MRR:2301.1,9.0')] ).
cnf(2303,plain,
( ~ aElementOf0(u,szDzozmdt0(xc))
| aSubsetOf0(u,xS) ),
inference(eqr,[status(thm),theory(equality)],[2302]),
[iquote('0:EqR:2302.1')] ).
cnf(2305,plain,
aSubsetOf0(skc1,xS),
inference(res,[status(thm),theory(equality)],[159,2303]),
[iquote('0:Res:159.0,2303.0')] ).
cnf(2334,plain,
( ~ aSet0(xS)
| aSet0(skc1) ),
inference(res,[status(thm),theory(equality)],[2305,39]),
[iquote('0:Res:2305.0,39.1')] ).
cnf(2335,plain,
aSubsetOf0(skc1,szNzAzT0),
inference(res,[status(thm),theory(equality)],[2305,825]),
[iquote('0:Res:2305.0,825.0')] ).
cnf(2336,plain,
aSet0(skc1),
inference(ssi,[status(thm)],[2334,280,6]),
[iquote('0:SSi:2334.0,280.0,6.0')] ).
cnf(2631,plain,
( ~ aSet0(xS)
| ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(spl,[status(thm),theory(equality)],[24,113]),
[iquote('0:SpL:24.0,113.3')] ).
cnf(2632,plain,
( ~ aElementOf0(u,v)
| ~ aElementOf0(xK,szNzAzT0)
| ~ equal(v,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(ssi,[status(thm)],[2631,280,6]),
[iquote('0:SSi:2631.0,280.0,6.0')] ).
cnf(2633,plain,
( ~ aElementOf0(u,v)
| ~ equal(v,szDzozmdt0(xc))
| equal(sbrdtbr0(u),xK) ),
inference(mrr,[status(thm)],[2632,9]),
[iquote('0:MRR:2632.1,9.0')] ).
cnf(3574,plain,
( ~ aSet0(skc1)
| equal(slcrc0,skc1)
| aElement0(szmzizndt0(skc1)) ),
inference(res,[status(thm),theory(equality)],[2335,1206]),
[iquote('0:Res:2335.0,1206.1')] ).
cnf(3592,plain,
( equal(slcrc0,skc1)
| aElement0(szmzizndt0(skc1)) ),
inference(ssi,[status(thm)],[3574,230,2336]),
[iquote('0:SSi:3574.0,230.0,2336.0')] ).
cnf(3632,plain,
equal(slcrc0,skc1),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[3592]),
[iquote('6:Spt:3592.0')] ).
cnf(3654,plain,
~ equal(sdtlpdtrp0(xc,skc1),sdtlpdtrp0(xc,skc1)),
inference(rew,[status(thm),theory(equality)],[3632,31]),
[iquote('6:Rew:3632.0,31.0')] ).
cnf(3926,plain,
$false,
inference(obv,[status(thm),theory(equality)],[3654]),
[iquote('6:Obv:3654.0')] ).
cnf(4026,plain,
~ equal(slcrc0,skc1),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[3926,3632]),
[iquote('6:Spt:3926.0,3592.0,3632.0')] ).
cnf(4027,plain,
aElement0(szmzizndt0(skc1)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[3592]),
[iquote('6:Spt:3926.0,3592.1')] ).
cnf(4777,plain,
( ~ equal(szDzozmdt0(xc),szDzozmdt0(xc))
| equal(sbrdtbr0(skc1),xK) ),
inference(res,[status(thm),theory(equality)],[159,2633]),
[iquote('0:Res:159.0,2633.0')] ).
cnf(4809,plain,
equal(sbrdtbr0(skc1),xK),
inference(obv,[status(thm),theory(equality)],[4777]),
[iquote('0:Obv:4777.0')] ).
cnf(4840,plain,
( ~ aSet0(skc1)
| ~ equal(xK,xK)
| equal(slcrc0,skc1) ),
inference(spl,[status(thm),theory(equality)],[4809,165]),
[iquote('0:SpL:4809.0,165.1')] ).
cnf(4846,plain,
( ~ aSet0(skc1)
| equal(slcrc0,skc1) ),
inference(obv,[status(thm),theory(equality)],[4840]),
[iquote('0:Obv:4840.1')] ).
cnf(4847,plain,
equal(slcrc0,skc1),
inference(ssi,[status(thm)],[4846,230,2336]),
[iquote('0:SSi:4846.0,230.0,2336.0')] ).
cnf(4848,plain,
$false,
inference(mrr,[status(thm)],[4847,4026]),
[iquote('6:MRR:4847.0,4026.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM565+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jul 6 06:07:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.38/1.59
% 1.38/1.59 SPASS V 3.9
% 1.38/1.59 SPASS beiseite: Proof found.
% 1.38/1.59 % SZS status Theorem
% 1.38/1.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.59 SPASS derived 3513 clauses, backtracked 427 clauses, performed 11 splits and kept 1927 clauses.
% 1.38/1.59 SPASS allocated 101999 KBytes.
% 1.38/1.59 SPASS spent 0:00:01.22 on the problem.
% 1.38/1.59 0:00:00.04 for the input.
% 1.38/1.59 0:00:00.24 for the FLOTTER CNF translation.
% 1.38/1.59 0:00:00.06 for inferences.
% 1.38/1.59 0:00:00.02 for the backtracking.
% 1.38/1.59 0:00:00.83 for the reduction.
% 1.38/1.59
% 1.38/1.59
% 1.38/1.59 Here is a proof with depth 6, length 117 :
% 1.38/1.59 % SZS output start Refutation
% See solution above
% 1.38/1.62 Formulae used in the proof : mEmpFin mNATSet m__3435 m__3453 m__3418 m__3462 mSegZero m__ mDefEmp mCardS mDomSet mSuccNum mEOfElem mCountNFin mDefSub mCardSeg mCardEmpty mDefSeg mSubFSet mDefMin mDefSel mSubTrans
% 1.38/1.62
%------------------------------------------------------------------------------