TSTP Solution File: NUM630+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM630+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 14:28:20 EDT 2022
% Result : Theorem 70.46s 70.69s
% Output : Refutation 73.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 49
% Syntax : Number of clauses : 126 ( 48 unt; 3 nHn; 126 RR)
% Number of literals : 251 ( 0 equ; 132 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aSet0(szNzAzT0),
file('NUM630+3.p',unknown),
[] ).
cnf(3,axiom,
isCountable0(szNzAzT0),
file('NUM630+3.p',unknown),
[] ).
cnf(8,axiom,
aFunction0(xc),
file('NUM630+3.p',unknown),
[] ).
cnf(16,axiom,
aSet0(xQ),
file('NUM630+3.p',unknown),
[] ).
cnf(17,axiom,
aSet0(xP),
file('NUM630+3.p',unknown),
[] ).
cnf(18,axiom,
aSet0(xD),
file('NUM630+3.p',unknown),
[] ).
cnf(20,axiom,
aElementOf0(xK,szNzAzT0),
file('NUM630+3.p',unknown),
[] ).
cnf(22,axiom,
aElementOf0(xk,szNzAzT0),
file('NUM630+3.p',unknown),
[] ).
cnf(30,axiom,
aElementOf0(xp,xQ),
file('NUM630+3.p',unknown),
[] ).
cnf(33,axiom,
aElementOf0(xn,szNzAzT0),
file('NUM630+3.p',unknown),
[] ).
cnf(46,axiom,
equal(szDzozmdt0(xd),szNzAzT0),
file('NUM630+3.p',unknown),
[] ).
cnf(49,axiom,
equal(sbrdtbr0(xQ),xK),
file('NUM630+3.p',unknown),
[] ).
cnf(51,axiom,
aElementOf0(xQ,szDzozmdt0(xc)),
file('NUM630+3.p',unknown),
[] ).
cnf(52,axiom,
equal(szmzizndt0(xQ),xp),
file('NUM630+3.p',unknown),
[] ).
cnf(53,axiom,
equal(sbrdtbr0(xP),xk),
file('NUM630+3.p',unknown),
[] ).
cnf(68,axiom,
equal(sdtlpdtrp0(xe,xn),xp),
file('NUM630+3.p',unknown),
[] ).
cnf(69,axiom,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('NUM630+3.p',unknown),
[] ).
cnf(72,axiom,
( ~ aSet0(u)
| aSubsetOf0(u,u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(74,axiom,
( ~ aFunction0(u)
| aSet0(szDzozmdt0(u)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(79,axiom,
( ~ aElementOf0(u,xO)
| skP11(u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(81,axiom,
equal(sdtmndt0(xQ,szmzizndt0(xQ)),xP),
file('NUM630+3.p',unknown),
[] ).
cnf(85,axiom,
equal(sdtlpdtrp0(xd,xn),szDzizrdt0(xd)),
file('NUM630+3.p',unknown),
[] ).
cnf(86,axiom,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('NUM630+3.p',unknown),
[] ).
cnf(97,axiom,
aElementOf0(skf93(u),sdtlbdtrb0(xd,szDzizrdt0(xd))),
file('NUM630+3.p',unknown),
[] ).
cnf(100,axiom,
( ~ aElementOf0(u,xQ)
| aElementOf0(u,xO) ),
file('NUM630+3.p',unknown),
[] ).
cnf(101,axiom,
( ~ aElementOf0(u,xQ)
| aElementOf0(u,szNzAzT0) ),
file('NUM630+3.p',unknown),
[] ).
cnf(115,axiom,
( ~ aElementOf0(u,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,u)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(119,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('NUM630+3.p',unknown),
[] ).
cnf(128,axiom,
( ~ isCountable0(u)
| ~ aSubsetOf0(u,szNzAzT0)
| skP2(u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(130,axiom,
( ~ aElementOf0(u,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,u),szNzAzT0) ),
file('NUM630+3.p',unknown),
[] ).
cnf(135,axiom,
( ~ aSet0(u)
| ~ aElementOf0(sbrdtbr0(u),szNzAzT0)
| isFinite0(u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(139,axiom,
( ~ aElementOf0(u,xO)
| equal(sdtlpdtrp0(xe,skf93(u)),u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(143,axiom,
equal(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xD),
file('NUM630+3.p',unknown),
[] ).
cnf(152,axiom,
( ~ aElementOf0(u,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,u),sdtlpdtrp0(xN,u)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(154,axiom,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szDzozmdt0(xd)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(155,axiom,
( ~ aElementOf0(u,xD)
| ~ equal(u,szmzizndt0(sdtlpdtrp0(xN,xn))) ),
file('NUM630+3.p',unknown),
[] ).
cnf(169,axiom,
( ~ aElementOf0(u,szNzAzT0)
| equal(szmzizndt0(sdtlpdtrp0(xN,u)),sdtlpdtrp0(xe,u)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(178,axiom,
( ~ isCountable0(sdtlpdtrp0(xN,u))
| ~ aSubsetOf0(sdtlpdtrp0(xN,u),szNzAzT0)
| skP6(u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(179,axiom,
( ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(v,sdtlpdtrp0(xN,u))
| aElementOf0(v,szNzAzT0) ),
file('NUM630+3.p',unknown),
[] ).
cnf(181,axiom,
( ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(v,szDzozmdt0(sdtlpdtrp0(xC,u)))
| aSet0(v) ),
file('NUM630+3.p',unknown),
[] ).
cnf(192,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| equal(sdtpldt0(sdtmndt0(u,v),v),u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(203,axiom,
~ equal(sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)),
file('NUM630+3.p',unknown),
[] ).
cnf(208,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| ~ equal(w,slbdtsldtrb0(u,v))
| aSet0(w) ),
file('NUM630+3.p',unknown),
[] ).
cnf(272,axiom,
( ~ aElement0(u)
| ~ aElementOf0(u,sdtlpdtrp0(xN,xn))
| aElementOf0(u,xD)
| equal(u,szmzizndt0(sdtlpdtrp0(xN,xn))) ),
file('NUM630+3.p',unknown),
[] ).
cnf(285,axiom,
( ~ aElementOf0(u,szNzAzT0)
| equal(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,u),szmzizndt0(sdtlpdtrp0(xN,u))),xk),szDzozmdt0(sdtlpdtrp0(xC,u))) ),
file('NUM630+3.p',unknown),
[] ).
cnf(288,axiom,
( ~ aSet0(u)
| ~ aElementOf0(u,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,v),szmzizndt0(sdtlpdtrp0(xN,v))),xk))
| skP8(v,u) ),
file('NUM630+3.p',unknown),
[] ).
cnf(331,axiom,
( ~ skP8(u,v)
| ~ aElementOf0(u,szNzAzT0)
| equal(sdtlpdtrp0(xc,sdtpldt0(v,szmzizndt0(sdtlpdtrp0(xN,u)))),sdtlpdtrp0(sdtlpdtrp0(xC,u),v)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(384,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| ~ aSubsetOf0(u,sdtlpdtrp0(xN,szszuzczcdt0(v)))
| ~ equal(sbrdtbr0(u),xk)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,v),u),skf89(v)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(393,axiom,
( ~ aSet0(u)
| ~ equal(sbrdtbr0(u),xk)
| ~ aElementOf0(v,szNzAzT0)
| ~ aSubsetOf0(u,sdtlpdtrp0(xN,szszuzczcdt0(v)))
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,v),u),sdtlpdtrp0(xd,v)) ),
file('NUM630+3.p',unknown),
[] ).
cnf(429,plain,
equal(sdtmndt0(xQ,xp),xP),
inference(rew,[status(thm),theory(equality)],[52,81]),
[iquote('0:Rew:52.0,81.0')] ).
cnf(434,plain,
( ~ aElementOf0(u,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(u,szNzAzT0) ),
inference(rew,[status(thm),theory(equality)],[46,154]),
[iquote('0:Rew:46.0,154.1')] ).
cnf(462,plain,
( ~ aElementOf0(u,szNzAzT0)
| equal(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,u),sdtlpdtrp0(xe,u)),xk),szDzozmdt0(sdtlpdtrp0(xC,u))) ),
inference(rew,[status(thm),theory(equality)],[169,285]),
[iquote('0:Rew:169.1,285.1')] ).
cnf(482,plain,
( ~ skP8(u,v)
| ~ aElementOf0(u,szNzAzT0)
| equal(sdtlpdtrp0(xc,sdtpldt0(v,sdtlpdtrp0(xe,u))),sdtlpdtrp0(sdtlpdtrp0(xC,u),v)) ),
inference(rew,[status(thm),theory(equality)],[169,331]),
[iquote('0:Rew:169.1,331.2')] ).
cnf(505,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| ~ aSubsetOf0(u,sdtlpdtrp0(xN,szszuzczcdt0(v)))
| ~ equal(sbrdtbr0(u),xk)
| equal(sdtlpdtrp0(xd,v),skf89(v)) ),
inference(rew,[status(thm),theory(equality)],[384,393]),
[iquote('0:Rew:384.4,393.4')] ).
cnf(681,plain,
aElementOf0(xp,szNzAzT0),
inference(res,[status(thm),theory(equality)],[30,101]),
[iquote('0:Res:30.0,101.0')] ).
cnf(683,plain,
aElementOf0(xp,xO),
inference(res,[status(thm),theory(equality)],[30,100]),
[iquote('0:Res:30.0,100.0')] ).
cnf(685,plain,
skP11(xp),
inference(res,[status(thm),theory(equality)],[683,79]),
[iquote('0:Res:683.0,79.0')] ).
cnf(771,plain,
( ~ aSet0(szNzAzT0)
| ~ isCountable0(szNzAzT0)
| skP2(szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[72,128]),
[iquote('0:Res:72.1,128.1')] ).
cnf(773,plain,
skP2(szNzAzT0),
inference(ssi,[status(thm)],[771,3,2]),
[iquote('0:SSi:771.1,771.0,3.0,2.0,3.0,2.0')] ).
cnf(798,plain,
( ~ aSet0(szNzAzT0)
| aElement0(xp) ),
inference(res,[status(thm),theory(equality)],[681,119]),
[iquote('0:Res:681.0,119.1')] ).
cnf(807,plain,
( ~ aSet0(szDzozmdt0(xc))
| aElement0(xQ) ),
inference(res,[status(thm),theory(equality)],[51,119]),
[iquote('0:Res:51.0,119.1')] ).
cnf(809,plain,
( ~ aSet0(slbdtsldtrb0(xD,xk))
| aElement0(xP) ),
inference(res,[status(thm),theory(equality)],[69,119]),
[iquote('0:Res:69.0,119.1')] ).
cnf(822,plain,
aElement0(xp),
inference(ssi,[status(thm)],[798,3,2,773]),
[iquote('0:SSi:798.0,3.0,2.0,773.0')] ).
cnf(831,plain,
aElement0(xQ),
inference(ssi,[status(thm)],[807,74,8]),
[iquote('0:SSi:807.0,74.0,8.1')] ).
cnf(875,plain,
aElementOf0(skf93(u),szNzAzT0),
inference(res,[status(thm),theory(equality)],[97,434]),
[iquote('0:Res:97.0,434.0')] ).
cnf(899,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xk,szNzAzT0)
| isFinite0(xP) ),
inference(spl,[status(thm),theory(equality)],[53,135]),
[iquote('0:SpL:53.0,135.1')] ).
cnf(900,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xQ) ),
inference(spl,[status(thm),theory(equality)],[49,135]),
[iquote('0:SpL:49.0,135.1')] ).
cnf(906,plain,
( ~ aElementOf0(xk,szNzAzT0)
| isFinite0(xP) ),
inference(ssi,[status(thm)],[899,17]),
[iquote('0:SSi:899.0,17.0')] ).
cnf(907,plain,
isFinite0(xP),
inference(mrr,[status(thm)],[906,22]),
[iquote('0:MRR:906.0,22.0')] ).
cnf(908,plain,
( ~ aElementOf0(xK,szNzAzT0)
| isFinite0(xQ) ),
inference(ssi,[status(thm)],[900,16,831]),
[iquote('0:SSi:900.0,16.0,831.0')] ).
cnf(909,plain,
isFinite0(xQ),
inference(mrr,[status(thm)],[908,20]),
[iquote('0:MRR:908.0,20.0')] ).
cnf(1006,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),xD),
inference(eqr,[status(thm),theory(equality)],[155]),
[iquote('0:EqR:155.1')] ).
cnf(1014,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
inference(spr,[status(thm),theory(equality)],[68,152]),
[iquote('0:SpR:68.0,152.1')] ).
cnf(1021,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(mrr,[status(thm)],[1014,33]),
[iquote('0:MRR:1014.0,33.0')] ).
cnf(1752,plain,
( ~ aElementOf0(u,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,u))
| skP6(u) ),
inference(res,[status(thm),theory(equality)],[130,178]),
[iquote('0:Res:130.1,178.1')] ).
cnf(1757,plain,
( ~ aElementOf0(u,szNzAzT0)
| skP6(u) ),
inference(mrr,[status(thm)],[1752,115]),
[iquote('0:MRR:1752.1,115.1')] ).
cnf(1807,plain,
( ~ aElementOf0(u,szNzAzT0)
| ~ aElementOf0(u,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,u),szNzAzT0) ),
inference(res,[status(thm),theory(equality)],[152,179]),
[iquote('0:Res:152.1,179.1')] ).
cnf(1812,plain,
( ~ aElementOf0(u,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,u),szNzAzT0) ),
inference(obv,[status(thm),theory(equality)],[1807]),
[iquote('0:Obv:1807.0')] ).
cnf(1845,plain,
( ~ aElementOf0(u,szNzAzT0)
| skP6(sdtlpdtrp0(xe,u)) ),
inference(res,[status(thm),theory(equality)],[1812,1757]),
[iquote('0:Res:1812.1,1757.0')] ).
cnf(1883,plain,
( ~ aElementOf0(u,xO)
| ~ aElementOf0(skf93(u),szNzAzT0)
| skP6(u) ),
inference(spr,[status(thm),theory(equality)],[139,1845]),
[iquote('0:SpR:139.1,1845.1')] ).
cnf(1887,plain,
( ~ aElementOf0(u,xO)
| skP6(u) ),
inference(mrr,[status(thm)],[1883,875]),
[iquote('0:MRR:1883.1,875.0')] ).
cnf(1987,plain,
skP6(xp),
inference(res,[status(thm),theory(equality)],[683,1887]),
[iquote('0:Res:683.0,1887.0')] ).
cnf(2282,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(sdtlpdtrp0(xe,xn),xD) ),
inference(spl,[status(thm),theory(equality)],[169,1006]),
[iquote('0:SpL:169.1,1006.0')] ).
cnf(2284,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xp,xD) ),
inference(rew,[status(thm),theory(equality)],[68,2282]),
[iquote('0:Rew:68.0,2282.1')] ).
cnf(2285,plain,
~ aElementOf0(xp,xD),
inference(mrr,[status(thm)],[2284,33]),
[iquote('0:MRR:2284.0,33.0')] ).
cnf(2384,plain,
( ~ aElementOf0(xn,szNzAzT0)
| equal(sdtmndt0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xe,xn)),xD) ),
inference(spr,[status(thm),theory(equality)],[169,143]),
[iquote('0:SpR:169.1,143.0')] ).
cnf(2385,plain,
( ~ aElementOf0(xn,szNzAzT0)
| equal(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xD) ),
inference(rew,[status(thm),theory(equality)],[68,2384]),
[iquote('0:Rew:68.0,2384.1')] ).
cnf(2386,plain,
equal(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xD),
inference(mrr,[status(thm)],[2385,33]),
[iquote('0:MRR:2385.0,33.0')] ).
cnf(2777,plain,
( ~ aSet0(xQ)
| ~ aElementOf0(xp,xQ)
| equal(sdtpldt0(xP,xp),xQ) ),
inference(spr,[status(thm),theory(equality)],[429,192]),
[iquote('0:SpR:429.0,192.2')] ).
cnf(2780,plain,
( ~ aElementOf0(xp,xQ)
| equal(sdtpldt0(xP,xp),xQ) ),
inference(ssi,[status(thm)],[2777,16,831,909]),
[iquote('0:SSi:2777.0,16.0,831.0,909.0')] ).
cnf(2781,plain,
equal(sdtpldt0(xP,xp),xQ),
inference(mrr,[status(thm)],[2780,30]),
[iquote('0:MRR:2780.0,30.0')] ).
cnf(3282,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ equal(sdtlpdtrp0(xc,sdtpldt0(xP,sdtlpdtrp0(xe,xn))),sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP)) ),
inference(spl,[status(thm),theory(equality)],[169,203]),
[iquote('0:SpL:169.1,203.0')] ).
cnf(3633,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,szNzAzT0)
| aSet0(slbdtsldtrb0(u,v)) ),
inference(eqr,[status(thm),theory(equality)],[208]),
[iquote('0:EqR:208.2')] ).
cnf(51194,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),sdtlpdtrp0(xc,xQ)) ),
inference(rew,[status(thm),theory(equality)],[2781,3282,68]),
[iquote('0:Rew:2781.0,3282.1,68.0,3282.1')] ).
cnf(51195,plain,
~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),sdtlpdtrp0(xc,xQ)),
inference(mrr,[status(thm)],[51194,33]),
[iquote('0:MRR:51194.0,33.0')] ).
cnf(51595,plain,
( ~ skP8(xn,u)
| ~ aElementOf0(xn,szNzAzT0)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),u),sdtlpdtrp0(xc,sdtpldt0(u,xp))) ),
inference(spr,[status(thm),theory(equality)],[68,482]),
[iquote('0:SpR:68.0,482.2')] ).
cnf(51646,plain,
( ~ skP8(xn,u)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),u),sdtlpdtrp0(xc,sdtpldt0(u,xp))) ),
inference(mrr,[status(thm)],[51595,33]),
[iquote('0:MRR:51595.1,33.0')] ).
cnf(53027,plain,
( ~ aSet0(xD)
| ~ aElementOf0(xk,szNzAzT0)
| aElement0(xP) ),
inference(sor,[status(thm)],[809,3633]),
[iquote('0:SoR:809.0,3633.2')] ).
cnf(53039,plain,
( ~ aElementOf0(xk,szNzAzT0)
| aElement0(xP) ),
inference(ssi,[status(thm)],[53027,18]),
[iquote('0:SSi:53027.0,18.0')] ).
cnf(53040,plain,
aElement0(xP),
inference(mrr,[status(thm)],[53039,22]),
[iquote('0:MRR:53039.0,22.0')] ).
cnf(54160,plain,
( ~ aElementOf0(xn,szNzAzT0)
| equal(slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xk),szDzozmdt0(sdtlpdtrp0(xC,xn))) ),
inference(spr,[status(thm),theory(equality)],[68,462]),
[iquote('0:SpR:68.0,462.1')] ).
cnf(54171,plain,
( ~ aElementOf0(xn,szNzAzT0)
| equal(szDzozmdt0(sdtlpdtrp0(xC,xn)),slbdtsldtrb0(xD,xk)) ),
inference(rew,[status(thm),theory(equality)],[2386,54160]),
[iquote('0:Rew:2386.0,54160.1')] ).
cnf(54172,plain,
equal(szDzozmdt0(sdtlpdtrp0(xC,xn)),slbdtsldtrb0(xD,xk)),
inference(mrr,[status(thm)],[54171,33]),
[iquote('0:MRR:54171.0,33.0')] ).
cnf(54332,plain,
( ~ aElement0(xp)
| aElementOf0(xp,xD)
| equal(szmzizndt0(sdtlpdtrp0(xN,xn)),xp) ),
inference(res,[status(thm),theory(equality)],[1021,272]),
[iquote('0:Res:1021.0,272.1')] ).
cnf(54333,plain,
( aElementOf0(xp,xD)
| equal(szmzizndt0(sdtlpdtrp0(xN,xn)),xp) ),
inference(ssi,[status(thm)],[54332,1987,685,822]),
[iquote('0:SSi:54332.0,1987.0,685.0,822.0')] ).
cnf(54334,plain,
equal(szmzizndt0(sdtlpdtrp0(xN,xn)),xp),
inference(mrr,[status(thm)],[54333,2285]),
[iquote('0:MRR:54333.0,2285.0')] ).
cnf(54725,plain,
( ~ aSet0(u)
| ~ aElementOf0(u,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),xp),xk))
| skP8(xn,u) ),
inference(spl,[status(thm),theory(equality)],[54334,288]),
[iquote('0:SpL:54334.0,288.1')] ).
cnf(54756,plain,
( ~ aSet0(u)
| ~ aElementOf0(u,slbdtsldtrb0(xD,xk))
| skP8(xn,u) ),
inference(rew,[status(thm),theory(equality)],[2386,54725]),
[iquote('0:Rew:2386.0,54725.1')] ).
cnf(54977,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(u,slbdtsldtrb0(xD,xk))
| aSet0(u) ),
inference(spl,[status(thm),theory(equality)],[54172,181]),
[iquote('0:SpL:54172.0,181.1')] ).
cnf(54981,plain,
( ~ aElementOf0(u,slbdtsldtrb0(xD,xk))
| aSet0(u) ),
inference(mrr,[status(thm)],[54977,33]),
[iquote('0:MRR:54977.0,33.0')] ).
cnf(54982,plain,
( ~ aElementOf0(u,slbdtsldtrb0(xD,xk))
| skP8(xn,u) ),
inference(mrr,[status(thm)],[54756,54981]),
[iquote('0:MRR:54756.0,54981.1')] ).
cnf(55596,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| ~ equal(sbrdtbr0(xP),xk)
| equal(sdtlpdtrp0(xd,xn),skf89(xn)) ),
inference(res,[status(thm),theory(equality)],[86,505]),
[iquote('0:Res:86.0,505.2')] ).
cnf(55605,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| ~ equal(xk,xk)
| equal(skf89(xn),szDzizrdt0(xd)) ),
inference(rew,[status(thm),theory(equality)],[85,55596,53]),
[iquote('0:Rew:85.0,55596.3,53.0,55596.2')] ).
cnf(55606,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| equal(skf89(xn),szDzizrdt0(xd)) ),
inference(obv,[status(thm),theory(equality)],[55605]),
[iquote('0:Obv:55605.2')] ).
cnf(55607,plain,
( ~ aElementOf0(xn,szNzAzT0)
| equal(skf89(xn),szDzizrdt0(xd)) ),
inference(ssi,[status(thm)],[55606,17,907,53040]),
[iquote('0:SSi:55606.0,17.0,907.0,53040.0')] ).
cnf(55608,plain,
equal(skf89(xn),szDzizrdt0(xd)),
inference(mrr,[status(thm)],[55607,33]),
[iquote('0:MRR:55607.0,33.0')] ).
cnf(56020,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| ~ equal(sbrdtbr0(xP),xk)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),skf89(xn)) ),
inference(res,[status(thm),theory(equality)],[86,384]),
[iquote('0:Res:86.0,384.2')] ).
cnf(56029,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| ~ equal(xk,xk)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),szDzizrdt0(xd)) ),
inference(rew,[status(thm),theory(equality)],[55608,56020,53]),
[iquote('0:Rew:55608.0,56020.3,53.0,56020.2')] ).
cnf(56030,plain,
( ~ aSet0(xP)
| ~ aElementOf0(xn,szNzAzT0)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),szDzizrdt0(xd)) ),
inference(obv,[status(thm),theory(equality)],[56029]),
[iquote('0:Obv:56029.2')] ).
cnf(56031,plain,
( ~ aElementOf0(xn,szNzAzT0)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),szDzizrdt0(xd)) ),
inference(ssi,[status(thm)],[56030,17,907,53040]),
[iquote('0:SSi:56030.0,17.0,907.0,53040.0')] ).
cnf(56032,plain,
equal(sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),szDzizrdt0(xd)),
inference(mrr,[status(thm)],[56031,33]),
[iquote('0:MRR:56031.0,33.0')] ).
cnf(56033,plain,
~ equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)),
inference(rew,[status(thm),theory(equality)],[56032,51195]),
[iquote('0:Rew:56032.0,51195.0')] ).
cnf(62567,plain,
skP8(xn,xP),
inference(res,[status(thm),theory(equality)],[69,54982]),
[iquote('0:Res:69.0,54982.0')] ).
cnf(80968,plain,
( ~ skP8(xn,xP)
| equal(sdtlpdtrp0(xc,sdtpldt0(xP,xp)),szDzizrdt0(xd)) ),
inference(spr,[status(thm),theory(equality)],[51646,56032]),
[iquote('0:SpR:51646.1,56032.0')] ).
cnf(80978,plain,
( ~ skP8(xn,xP)
| equal(sdtlpdtrp0(xc,xQ),szDzizrdt0(xd)) ),
inference(rew,[status(thm),theory(equality)],[2781,80968]),
[iquote('0:Rew:2781.0,80968.1')] ).
cnf(80979,plain,
$false,
inference(mrr,[status(thm)],[80978,62567,56033]),
[iquote('0:MRR:80978.0,80978.1,62567.0,56033.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM630+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n010.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 04:25:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 70.46/70.69
% 70.46/70.69 SPASS V 3.9
% 70.46/70.69 SPASS beiseite: Proof found.
% 70.46/70.69 % SZS status Theorem
% 70.46/70.69 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 70.46/70.69 SPASS derived 61918 clauses, backtracked 12807 clauses, performed 124 splits and kept 35457 clauses.
% 70.46/70.69 SPASS allocated 154138 KBytes.
% 70.46/70.69 SPASS spent 0:1:10.27 on the problem.
% 70.46/70.69 0:00:00.04 for the input.
% 70.46/70.69 0:00:00.69 for the FLOTTER CNF translation.
% 70.46/70.69 0:00:01.29 for inferences.
% 70.46/70.69 0:00:03.84 for the backtracking.
% 70.46/70.69 0:01:02.81 for the reduction.
% 70.46/70.69
% 70.46/70.69
% 70.46/70.69 Here is a proof with depth 4, length 126 :
% 70.46/70.69 % SZS output start Refutation
% See solution above
% 73.05/73.28 Formulae used in the proof : mNATSet m__3453 m__5116 m__5078 m__5164 m__5585 m__3418 m__3533 m__5173 m__5309 m__4730 m__5147 m__5217 m__5599 mSubRefl mDomSet m__4982 m__5321 m__5334 m__4891 m__5093 m__5106 m__3671 mEOfElem m__3398 m__4854 mCardNum m__4660 m__3623 m__4151 mConsDiff m__ mDefSel m__4618
% 73.05/73.28
%------------------------------------------------------------------------------