TSTP Solution File: NUM536+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 14:27:14 EDT 2022
% Result : Theorem 0.91s 1.18s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 32
% Syntax : Number of clauses : 186 ( 44 unt; 54 nHn; 186 RR)
% Number of literals : 487 ( 0 equ; 265 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
isFinite0(slcrc0),
file('NUM536+2.p',unknown),
[] ).
cnf(2,axiom,
aElement0(xx),
file('NUM536+2.p',unknown),
[] ).
cnf(3,axiom,
aSet0(xS),
file('NUM536+2.p',unknown),
[] ).
cnf(4,axiom,
aSet0(sdtpldt0(xS,xx)),
file('NUM536+2.p',unknown),
[] ).
cnf(5,axiom,
~ aElementOf0(xx,xS),
file('NUM536+2.p',unknown),
[] ).
cnf(6,axiom,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
file('NUM536+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ equal(u,slcrc0)
| aSet0(u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ aSet0(u)
| aSubsetOf0(u,u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ aElementOf0(u,sdtpldt0(xS,xx))
| aElement0(u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(13,axiom,
~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS),
file('NUM536+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ aElementOf0(u,v)
| ~ equal(v,slcrc0) ),
file('NUM536+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('NUM536+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM536+2.p',unknown),
[] ).
cnf(21,axiom,
( ~ aSet0(u)
| equal(u,slcrc0)
| aElementOf0(skf4(u),u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ aElement0(u)
| ~ aElementOf0(u,v)
| skP0(w,v,u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(25,axiom,
( ~ aElementOf0(u,sdtpldt0(xS,xx))
| equal(u,xx)
| aElementOf0(u,xS) ),
file('NUM536+2.p',unknown),
[] ).
cnf(26,axiom,
( ~ aElement0(u)
| ~ aElementOf0(u,xS)
| aElementOf0(u,sdtpldt0(xS,xx)) ),
file('NUM536+2.p',unknown),
[] ).
cnf(27,axiom,
( ~ aElement0(u)
| ~ equal(u,xx)
| aElementOf0(u,sdtpldt0(xS,xx)) ),
file('NUM536+2.p',unknown),
[] ).
cnf(28,axiom,
( ~ equal(u,xx)
| ~ aElementOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('NUM536+2.p',unknown),
[] ).
cnf(30,axiom,
( ~ aElementOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(u,sdtpldt0(xS,xx)) ),
file('NUM536+2.p',unknown),
[] ).
cnf(31,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(32,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElementOf0(skf5(v,w),v) ),
file('NUM536+2.p',unknown),
[] ).
cnf(33,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtpldt0(v,u))
| aSet0(w) ),
file('NUM536+2.p',unknown),
[] ).
cnf(34,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtmndt0(v,u))
| aSet0(w) ),
file('NUM536+2.p',unknown),
[] ).
cnf(36,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| equal(sdtpldt0(sdtmndt0(u,v),v),u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(37,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aElementOf0(skf5(v,u),u)
| aSubsetOf0(v,u) ),
file('NUM536+2.p',unknown),
[] ).
cnf(38,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(u,v)
| equal(u,v) ),
file('NUM536+2.p',unknown),
[] ).
cnf(39,axiom,
( ~ aElement0(u)
| ~ aElementOf0(u,sdtpldt0(xS,xx))
| equal(u,xx)
| aElementOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
file('NUM536+2.p',unknown),
[] ).
cnf(40,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtmndt0(v,u))
| ~ skP1(u,v,x)
| aElementOf0(x,w) ),
file('NUM536+2.p',unknown),
[] ).
cnf(42,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtpldt0(v,u))
| ~ skP0(u,v,x)
| aElementOf0(x,w) ),
file('NUM536+2.p',unknown),
[] ).
cnf(44,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aSubsetOf0(u,v)
| ~ aSubsetOf0(v,w)
| aSubsetOf0(u,w) ),
file('NUM536+2.p',unknown),
[] ).
cnf(45,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| equal(w,sdtmndt0(v,u))
| aElementOf0(skf7(v,u,w),w)
| skP1(u,v,skf7(v,u,w)) ),
file('NUM536+2.p',unknown),
[] ).
cnf(49,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(u,v)
| equal(v,u) ),
inference(mrr,[status(thm)],[38,18]),
[iquote('0:MRR:38.0,18.2')] ).
cnf(50,plain,
( ~ aElementOf0(u,sdtpldt0(xS,xx))
| equal(u,xx)
| aElementOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(mrr,[status(thm)],[39,12]),
[iquote('0:MRR:39.0,12.1')] ).
cnf(51,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(mrr,[status(thm)],[44,18]),
[iquote('0:MRR:44.0,44.1,18.2,18.2')] ).
cnf(63,plain,
( ~ aElementOf0(u,v)
| ~ aSubsetOf0(v,sdtpldt0(xS,xx))
| aElementOf0(u,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[4,31]),
[iquote('0:Res:4.0,31.0')] ).
cnf(72,plain,
( ~ aSubsetOf0(u,sdtpldt0(xS,xx))
| aSet0(u) ),
inference(res,[status(thm),theory(equality)],[4,18]),
[iquote('0:Res:4.0,18.0')] ).
cnf(73,plain,
aSubsetOf0(sdtpldt0(xS,xx),sdtpldt0(xS,xx)),
inference(res,[status(thm),theory(equality)],[4,9]),
[iquote('0:Res:4.0,9.0')] ).
cnf(79,plain,
( ~ aSet0(u)
| aSubsetOf0(u,sdtpldt0(xS,xx))
| aElementOf0(skf5(u,v),u) ),
inference(res,[status(thm),theory(equality)],[4,32]),
[iquote('0:Res:4.0,32.1')] ).
cnf(100,plain,
( ~ aSubsetOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(u) ),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.0')] ).
cnf(110,plain,
( ~ aSet0(xS)
| ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(res,[status(thm),theory(equality)],[49,13]),
[iquote('0:Res:49.3,13.0')] ).
cnf(113,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aElement0(xx)
| aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(res,[status(thm),theory(equality)],[45,13]),
[iquote('0:Res:45.5,13.0')] ).
cnf(116,plain,
( ~ equal(xx,xx)
| aElementOf0(xx,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(119,plain,
aElementOf0(xx,sdtpldt0(xS,xx)),
inference(obv,[status(thm),theory(equality)],[116]),
[iquote('0:Obv:116.0')] ).
cnf(120,plain,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(mrr,[status(thm)],[110,100]),
[iquote('0:MRR:110.0,100.1')] ).
cnf(121,plain,
( aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(mrr,[status(thm)],[113,3,4,2]),
[iquote('0:MRR:113.0,113.1,113.2,3.0,4.0,2.0')] ).
cnf(151,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(skf4(sdtmndt0(sdtpldt0(xS,xx),xx)),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0) ),
inference(res,[status(thm),theory(equality)],[21,28]),
[iquote('0:Res:21.2,28.1')] ).
cnf(152,plain,
( ~ equal(skf4(sdtmndt0(sdtpldt0(xS,xx),xx)),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0) ),
inference(ssi,[status(thm)],[151,6]),
[iquote('0:SSi:151.0,6.0')] ).
cnf(181,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0)
| aElementOf0(skf4(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[21,30]),
[iquote('0:Res:21.2,30.0')] ).
cnf(182,plain,
( equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0)
| aElementOf0(skf4(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
inference(ssi,[status(thm)],[181,6]),
[iquote('0:SSi:181.0,6.0')] ).
cnf(183,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| aSet0(sdtmndt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[34]),
[iquote('0:EqR:34.2')] ).
cnf(189,plain,
( ~ aSet0(u)
| ~ equal(u,slcrc0)
| aSubsetOf0(u,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[79,14]),
[iquote('0:Res:79.2,14.0')] ).
cnf(193,plain,
( ~ aSet0(u)
| ~ aSet0(u)
| aSubsetOf0(u,sdtpldt0(xS,xx))
| aElement0(skf5(u,v)) ),
inference(res,[status(thm),theory(equality)],[79,16]),
[iquote('0:Res:79.2,16.1')] ).
cnf(194,plain,
( ~ equal(u,slcrc0)
| aSubsetOf0(u,sdtpldt0(xS,xx)) ),
inference(mrr,[status(thm)],[189,7]),
[iquote('0:MRR:189.0,7.1')] ).
cnf(195,plain,
( ~ aSet0(u)
| aSubsetOf0(u,sdtpldt0(xS,xx))
| aElement0(skf5(u,v)) ),
inference(obv,[status(thm),theory(equality)],[193]),
[iquote('0:Obv:193.0')] ).
cnf(203,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| aSet0(sdtpldt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[33]),
[iquote('0:EqR:33.2')] ).
cnf(233,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aSubsetOf0(u,v)
| aElementOf0(skf5(v,w),v)
| equal(v,u) ),
inference(res,[status(thm),theory(equality)],[32,49]),
[iquote('0:Res:32.2,49.1')] ).
cnf(240,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ equal(v,slcrc0)
| aSubsetOf0(v,u) ),
inference(res,[status(thm),theory(equality)],[32,14]),
[iquote('0:Res:32.3,14.0')] ).
cnf(245,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElement0(skf5(v,w)) ),
inference(res,[status(thm),theory(equality)],[32,16]),
[iquote('0:Res:32.3,16.1')] ).
cnf(246,plain,
( ~ aSet0(u)
| ~ equal(v,slcrc0)
| aSubsetOf0(v,u) ),
inference(mrr,[status(thm)],[240,7]),
[iquote('0:MRR:240.1,7.1')] ).
cnf(247,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElement0(skf5(v,w)) ),
inference(obv,[status(thm),theory(equality)],[245]),
[iquote('0:Obv:245.1')] ).
cnf(250,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf5(u,w),u)
| equal(u,v) ),
inference(obv,[status(thm),theory(equality)],[233]),
[iquote('0:Obv:233.0')] ).
cnf(251,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf5(u,w),u)
| equal(u,v) ),
inference(mrr,[status(thm)],[250,18]),
[iquote('0:MRR:250.1,18.2')] ).
cnf(274,plain,
( ~ aSet0(u)
| ~ aSet0(u)
| ~ equal(v,slcrc0)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(res,[status(thm),theory(equality)],[246,51]),
[iquote('0:Res:246.2,51.1')] ).
cnf(281,plain,
( ~ aSet0(u)
| ~ equal(v,slcrc0)
| ~ aSubsetOf0(w,v)
| aSubsetOf0(w,u) ),
inference(obv,[status(thm),theory(equality)],[274]),
[iquote('0:Obv:274.0')] ).
cnf(311,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,slcrc0)
| aSubsetOf0(v,u) ),
inference(eqr,[status(thm),theory(equality)],[281]),
[iquote('0:EqR:281.1')] ).
cnf(312,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(sdtpldt0(xS,xx),u)
| aElementOf0(xx,u) ),
inference(res,[status(thm),theory(equality)],[119,31]),
[iquote('0:Res:119.0,31.1')] ).
cnf(316,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(u,v)
| equal(u,slcrc0)
| aElementOf0(skf4(u),v) ),
inference(res,[status(thm),theory(equality)],[21,31]),
[iquote('0:Res:21.2,31.1')] ).
cnf(318,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| equal(v,slcrc0)
| aElementOf0(skf4(v),u) ),
inference(mrr,[status(thm)],[316,18]),
[iquote('0:MRR:316.0,18.2')] ).
cnf(321,plain,
( ~ aSet0(slcrc0)
| ~ aSet0(u)
| aSubsetOf0(slcrc0,u) ),
inference(res,[status(thm),theory(equality)],[9,311]),
[iquote('0:Res:9.1,311.1')] ).
cnf(328,plain,
( ~ aSet0(u)
| ~ equal(slcrc0,slcrc0)
| aSubsetOf0(slcrc0,u) ),
inference(sor,[status(thm)],[321,7]),
[iquote('0:SoR:321.0,7.1')] ).
cnf(330,plain,
( ~ aSet0(u)
| aSubsetOf0(slcrc0,u) ),
inference(obv,[status(thm),theory(equality)],[328]),
[iquote('0:Obv:328.1')] ).
cnf(335,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| aSet0(slcrc0) ),
inference(res,[status(thm),theory(equality)],[330,72]),
[iquote('0:Res:330.1,72.0')] ).
cnf(339,plain,
aSet0(slcrc0),
inference(ssi,[status(thm)],[335,4]),
[iquote('0:SSi:335.0,4.0')] ).
cnf(354,plain,
( ~ aSet0(u)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(u)
| aElement0(skf5(sdtpldt0(xS,xx),v))
| aElementOf0(xx,u) ),
inference(res,[status(thm),theory(equality)],[247,312]),
[iquote('0:Res:247.2,312.1')] ).
cnf(356,plain,
( ~ aSet0(u)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(u)
| aElementOf0(skf5(sdtpldt0(xS,xx),v),sdtpldt0(xS,xx))
| aElementOf0(xx,u) ),
inference(res,[status(thm),theory(equality)],[32,312]),
[iquote('0:Res:32.2,312.1')] ).
cnf(362,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(u)
| aElement0(skf5(sdtpldt0(xS,xx),v))
| aElementOf0(xx,u) ),
inference(obv,[status(thm),theory(equality)],[354]),
[iquote('0:Obv:354.0')] ).
cnf(363,plain,
( ~ aSet0(u)
| aElement0(skf5(sdtpldt0(xS,xx),v))
| aElementOf0(xx,u) ),
inference(ssi,[status(thm)],[362,4]),
[iquote('0:SSi:362.0,4.0')] ).
cnf(365,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(u)
| aElementOf0(skf5(sdtpldt0(xS,xx),v),sdtpldt0(xS,xx))
| aElementOf0(xx,u) ),
inference(obv,[status(thm),theory(equality)],[356]),
[iquote('0:Obv:356.0')] ).
cnf(366,plain,
( ~ aSet0(u)
| aElementOf0(skf5(sdtpldt0(xS,xx),v),sdtpldt0(xS,xx))
| aElementOf0(xx,u) ),
inference(ssi,[status(thm)],[365,4]),
[iquote('0:SSi:365.0,4.0')] ).
cnf(367,plain,
( ~ aSet0(u)
| aElementOf0(xx,u) ),
inference(spt,[spt(split,[position(s1)])],[363]),
[iquote('1:Spt:363.0,363.2')] ).
cnf(373,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(xx,xx) ),
inference(res,[status(thm),theory(equality)],[367,28]),
[iquote('1:Res:367.1,28.1')] ).
cnf(387,plain,
~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(obv,[status(thm),theory(equality)],[373]),
[iquote('1:Obv:373.1')] ).
cnf(388,plain,
$false,
inference(ssi,[status(thm)],[387,6]),
[iquote('1:SSi:387.0,6.0')] ).
cnf(390,plain,
aElement0(skf5(sdtpldt0(xS,xx),u)),
inference(spt,[spt(split,[position(s2)])],[363]),
[iquote('1:Spt:388.0,363.1')] ).
cnf(428,plain,
( ~ aElement0(skf5(u,sdtpldt0(xS,xx)))
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(u)
| ~ aElementOf0(skf5(u,sdtpldt0(xS,xx)),xS)
| aSubsetOf0(u,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[26,37]),
[iquote('0:Res:26.2,37.2')] ).
cnf(437,plain,
( ~ aElement0(skf5(u,sdtpldt0(xS,xx)))
| ~ aSet0(u)
| ~ aElementOf0(skf5(u,sdtpldt0(xS,xx)),xS)
| aSubsetOf0(u,sdtpldt0(xS,xx)) ),
inference(ssi,[status(thm)],[428,4]),
[iquote('0:SSi:428.1,4.0')] ).
cnf(438,plain,
( ~ aSet0(u)
| ~ aElementOf0(skf5(u,sdtpldt0(xS,xx)),xS)
| aSubsetOf0(u,sdtpldt0(xS,xx)) ),
inference(mrr,[status(thm)],[437,195]),
[iquote('0:MRR:437.0,195.2')] ).
cnf(462,plain,
( ~ aElementOf0(u,sdtpldt0(xS,xx))
| ~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0)
| equal(u,xx) ),
inference(res,[status(thm),theory(equality)],[50,14]),
[iquote('0:Res:50.2,14.0')] ).
cnf(468,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(u)
| ~ aElementOf0(skf5(u,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| equal(skf5(u,sdtmndt0(sdtpldt0(xS,xx),xx)),xx)
| aSubsetOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(res,[status(thm),theory(equality)],[50,37]),
[iquote('0:Res:50.2,37.2')] ).
cnf(471,plain,
( ~ aSet0(u)
| ~ aElementOf0(skf5(u,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| equal(skf5(u,sdtmndt0(sdtpldt0(xS,xx),xx)),xx)
| aSubsetOf0(u,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(ssi,[status(thm)],[468,6]),
[iquote('0:SSi:468.0,6.0')] ).
cnf(495,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| ~ equal(u,slcrc0)
| equal(v,slcrc0) ),
inference(res,[status(thm),theory(equality)],[318,14]),
[iquote('0:Res:318.3,14.0')] ).
cnf(500,plain,
( ~ aSet0(u)
| ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| equal(v,slcrc0)
| aElement0(skf4(v)) ),
inference(res,[status(thm),theory(equality)],[318,16]),
[iquote('0:Res:318.3,16.1')] ).
cnf(502,plain,
( ~ aSubsetOf0(u,v)
| ~ equal(v,slcrc0)
| equal(u,slcrc0) ),
inference(mrr,[status(thm)],[495,7]),
[iquote('0:MRR:495.0,7.1')] ).
cnf(504,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| equal(v,slcrc0)
| aElement0(skf4(v)) ),
inference(obv,[status(thm),theory(equality)],[500]),
[iquote('0:Obv:500.0')] ).
cnf(513,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ equal(u,slcrc0)
| aElementOf0(skf5(v,w),v)
| equal(v,slcrc0) ),
inference(res,[status(thm),theory(equality)],[32,502]),
[iquote('0:Res:32.2,502.0')] ).
cnf(520,plain,
( ~ aSet0(u)
| ~ equal(v,slcrc0)
| aElementOf0(skf5(u,w),u)
| equal(u,slcrc0) ),
inference(mrr,[status(thm)],[513,7]),
[iquote('0:MRR:513.0,7.1')] ).
cnf(551,plain,
( ~ aSet0(u)
| aElementOf0(xx,u) ),
inference(spt,[spt(split,[position(s2s1)])],[366]),
[iquote('2:Spt:366.0,366.2')] ).
cnf(557,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(xx,xx) ),
inference(res,[status(thm),theory(equality)],[551,28]),
[iquote('2:Res:551.1,28.1')] ).
cnf(577,plain,
~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(obv,[status(thm),theory(equality)],[557]),
[iquote('2:Obv:557.1')] ).
cnf(578,plain,
$false,
inference(ssi,[status(thm)],[577,6]),
[iquote('2:SSi:577.0,6.0')] ).
cnf(580,plain,
aElementOf0(skf5(sdtpldt0(xS,xx),u),sdtpldt0(xS,xx)),
inference(spt,[spt(split,[position(s2s2)])],[366]),
[iquote('2:Spt:578.0,366.1')] ).
cnf(581,plain,
( ~ aSet0(u)
| aElementOf0(skf5(u,v),u)
| equal(u,slcrc0) ),
inference(aed,[status(thm),theory(equality)],[13,520]),
[iquote('0:AED:13.0,520.1')] ).
cnf(643,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0)
| aElementOf0(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[581,30]),
[iquote('0:Res:581.1,30.0')] ).
cnf(644,plain,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0) ),
inference(res,[status(thm),theory(equality)],[581,28]),
[iquote('0:Res:581.1,28.1')] ).
cnf(652,plain,
( ~ equal(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0) ),
inference(ssi,[status(thm)],[644,6]),
[iquote('0:SSi:644.0,6.0')] ).
cnf(655,plain,
( equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0)
| aElementOf0(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),sdtpldt0(xS,xx)) ),
inference(ssi,[status(thm)],[643,6]),
[iquote('0:SSi:643.0,6.0')] ).
cnf(658,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ skP0(u,v,w)
| aElementOf0(w,sdtpldt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[42]),
[iquote('0:EqR:42.2')] ).
cnf(703,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ skP1(u,v,w)
| aElementOf0(w,sdtmndt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[40]),
[iquote('0:EqR:40.2')] ).
cnf(858,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(u,slcrc0)
| aElementOf0(u,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[330,63]),
[iquote('0:Res:330.1,63.1')] ).
cnf(864,plain,
( ~ aElementOf0(u,slcrc0)
| aElementOf0(u,sdtpldt0(xS,xx)) ),
inference(ssi,[status(thm)],[858,4]),
[iquote('0:SSi:858.0,4.0')] ).
cnf(865,plain,
( ~ aElementOf0(u,slcrc0)
| equal(u,xx)
| aElementOf0(u,xS) ),
inference(res,[status(thm),theory(equality)],[864,25]),
[iquote('0:Res:864.1,25.0')] ).
cnf(866,plain,
( ~ aElementOf0(u,slcrc0)
| aElement0(u) ),
inference(res,[status(thm),theory(equality)],[864,12]),
[iquote('0:Res:864.1,12.0')] ).
cnf(908,plain,
( ~ aElementOf0(u,slcrc0)
| ~ equal(xS,slcrc0)
| equal(u,xx) ),
inference(res,[status(thm),theory(equality)],[865,14]),
[iquote('0:Res:865.2,14.0')] ).
cnf(1071,plain,
( ~ aSet0(xS)
| ~ aSet0(xS)
| equal(xS,slcrc0)
| aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[581,438]),
[iquote('0:Res:581.1,438.1')] ).
cnf(1075,plain,
( ~ aSet0(xS)
| equal(xS,slcrc0)
| aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
inference(obv,[status(thm),theory(equality)],[1071]),
[iquote('0:Obv:1071.0')] ).
cnf(1076,plain,
( equal(xS,slcrc0)
| aSubsetOf0(xS,sdtpldt0(xS,xx)) ),
inference(ssi,[status(thm)],[1075,3]),
[iquote('0:SSi:1075.0,3.0')] ).
cnf(1077,plain,
aSubsetOf0(xS,sdtpldt0(xS,xx)),
inference(mrr,[status(thm)],[1076,194]),
[iquote('0:MRR:1076.0,194.0')] ).
cnf(1084,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| equal(xS,slcrc0)
| aElement0(skf4(xS)) ),
inference(res,[status(thm),theory(equality)],[1077,504]),
[iquote('0:Res:1077.0,504.1')] ).
cnf(1091,plain,
( ~ aElementOf0(u,xS)
| aElementOf0(u,sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[1077,63]),
[iquote('0:Res:1077.0,63.1')] ).
cnf(1095,plain,
( equal(xS,slcrc0)
| aElement0(skf4(xS)) ),
inference(ssi,[status(thm)],[1084,4]),
[iquote('0:SSi:1084.0,4.0')] ).
cnf(1100,plain,
equal(xS,slcrc0),
inference(spt,[spt(split,[position(s2s2s1)])],[1095]),
[iquote('3:Spt:1095.0')] ).
cnf(1114,plain,
( ~ equal(skf4(sdtmndt0(sdtpldt0(slcrc0,xx),xx)),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0) ),
inference(rew,[status(thm),theory(equality)],[1100,152]),
[iquote('3:Rew:1100.0,152.0')] ).
cnf(1123,plain,
( ~ aElementOf0(u,sdtpldt0(slcrc0,xx))
| equal(u,xx)
| aElementOf0(u,xS) ),
inference(rew,[status(thm),theory(equality)],[1100,25]),
[iquote('3:Rew:1100.0,25.0')] ).
cnf(1150,plain,
~ equal(sdtmndt0(sdtpldt0(slcrc0,xx),xx),slcrc0),
inference(rew,[status(thm),theory(equality)],[1100,13]),
[iquote('3:Rew:1100.0,13.0')] ).
cnf(1154,plain,
( ~ aElementOf0(u,slcrc0)
| ~ equal(slcrc0,slcrc0)
| equal(u,xx) ),
inference(rew,[status(thm),theory(equality)],[1100,908]),
[iquote('3:Rew:1100.0,908.1')] ).
cnf(1175,plain,
( equal(sdtmndt0(sdtpldt0(slcrc0,xx),xx),slcrc0)
| aElementOf0(skf4(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)) ),
inference(rew,[status(thm),theory(equality)],[1100,182]),
[iquote('3:Rew:1100.0,182.0')] ).
cnf(1213,plain,
( ~ aElementOf0(u,slcrc0)
| equal(u,xx) ),
inference(obv,[status(thm),theory(equality)],[1154]),
[iquote('3:Obv:1154.1')] ).
cnf(1215,plain,
( ~ aElementOf0(u,sdtpldt0(slcrc0,xx))
| equal(u,xx)
| aElementOf0(u,slcrc0) ),
inference(rew,[status(thm),theory(equality)],[1100,1123]),
[iquote('3:Rew:1100.0,1123.2')] ).
cnf(1216,plain,
( ~ aElementOf0(u,sdtpldt0(slcrc0,xx))
| equal(u,xx) ),
inference(mrr,[status(thm)],[1215,1213]),
[iquote('3:MRR:1215.2,1213.0')] ).
cnf(1224,plain,
( ~ equal(skf4(sdtmndt0(sdtpldt0(slcrc0,xx),xx)),xx)
| equal(sdtmndt0(sdtpldt0(slcrc0,xx),xx),slcrc0) ),
inference(rew,[status(thm),theory(equality)],[1100,1114]),
[iquote('3:Rew:1100.0,1114.1')] ).
cnf(1225,plain,
~ equal(skf4(sdtmndt0(sdtpldt0(slcrc0,xx),xx)),xx),
inference(mrr,[status(thm)],[1224,1150]),
[iquote('3:MRR:1224.1,1150.0')] ).
cnf(1239,plain,
( equal(sdtmndt0(sdtpldt0(slcrc0,xx),xx),slcrc0)
| aElementOf0(skf4(sdtmndt0(sdtpldt0(slcrc0,xx),xx)),sdtpldt0(slcrc0,xx)) ),
inference(rew,[status(thm),theory(equality)],[1100,1175]),
[iquote('3:Rew:1100.0,1175.1')] ).
cnf(1240,plain,
aElementOf0(skf4(sdtmndt0(sdtpldt0(slcrc0,xx),xx)),sdtpldt0(slcrc0,xx)),
inference(mrr,[status(thm)],[1239,1150]),
[iquote('3:MRR:1239.0,1150.0')] ).
cnf(1375,plain,
equal(skf4(sdtmndt0(sdtpldt0(slcrc0,xx),xx)),xx),
inference(res,[status(thm),theory(equality)],[1240,1216]),
[iquote('3:Res:1240.0,1216.0')] ).
cnf(1380,plain,
$false,
inference(mrr,[status(thm)],[1375,1225]),
[iquote('3:MRR:1375.0,1225.0')] ).
cnf(1381,plain,
~ equal(xS,slcrc0),
inference(spt,[spt(split,[position(s2s2sa)])],[1380,1100]),
[iquote('3:Spt:1380.0,1095.0,1100.0')] ).
cnf(1382,plain,
aElement0(skf4(xS)),
inference(spt,[spt(split,[position(s2s2s2)])],[1095]),
[iquote('3:Spt:1380.0,1095.1')] ).
cnf(2197,plain,
equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0),
inference(spt,[spt(split,[position(s2s2s2s1)])],[182]),
[iquote('4:Spt:182.0')] ).
cnf(2202,plain,
( ~ equal(u,xx)
| ~ aElementOf0(u,slcrc0) ),
inference(rew,[status(thm),theory(equality)],[2197,28]),
[iquote('4:Rew:2197.0,28.1')] ).
cnf(2227,plain,
( ~ aElementOf0(u,sdtpldt0(xS,xx))
| ~ equal(slcrc0,slcrc0)
| equal(u,xx) ),
inference(rew,[status(thm),theory(equality)],[2197,462]),
[iquote('4:Rew:2197.0,462.1')] ).
cnf(2243,plain,
( ~ aElementOf0(u,sdtpldt0(xS,xx))
| equal(u,xx) ),
inference(obv,[status(thm),theory(equality)],[2227]),
[iquote('4:Obv:2227.1')] ).
cnf(2254,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ skP1(xx,sdtpldt0(xS,xx),u)
| aElementOf0(u,slcrc0) ),
inference(spr,[status(thm),theory(equality)],[2197,703]),
[iquote('4:SpR:2197.0,703.3')] ).
cnf(2255,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(xS,xx))
| equal(sdtpldt0(xS,xx),sdtpldt0(slcrc0,xx)) ),
inference(spr,[status(thm),theory(equality)],[2197,36]),
[iquote('4:SpR:2197.0,36.2')] ).
cnf(2260,plain,
( ~ skP1(xx,sdtpldt0(xS,xx),u)
| aElementOf0(u,slcrc0) ),
inference(ssi,[status(thm)],[2254,203,3,2]),
[iquote('4:SSi:2254.1,2254.0,203.0,3.0,2.0,2.2')] ).
cnf(2261,plain,
( ~ aElementOf0(xx,sdtpldt0(xS,xx))
| equal(sdtpldt0(xS,xx),sdtpldt0(slcrc0,xx)) ),
inference(ssi,[status(thm)],[2255,203,3,2]),
[iquote('4:SSi:2255.0,203.0,3.0,2.2')] ).
cnf(2262,plain,
equal(sdtpldt0(xS,xx),sdtpldt0(slcrc0,xx)),
inference(mrr,[status(thm)],[2261,119]),
[iquote('4:MRR:2261.0,119.0')] ).
cnf(2276,plain,
( ~ aElementOf0(u,xS)
| aElementOf0(u,sdtpldt0(slcrc0,xx)) ),
inference(rew,[status(thm),theory(equality)],[2262,1091]),
[iquote('4:Rew:2262.0,1091.1')] ).
cnf(2320,plain,
( aElementOf0(skf7(sdtpldt0(slcrc0,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(rew,[status(thm),theory(equality)],[2262,121]),
[iquote('4:Rew:2262.0,121.0')] ).
cnf(2335,plain,
( ~ aElementOf0(u,sdtpldt0(slcrc0,xx))
| equal(u,xx) ),
inference(rew,[status(thm),theory(equality)],[2262,2243]),
[iquote('4:Rew:2262.0,2243.0')] ).
cnf(2339,plain,
( ~ skP1(xx,sdtpldt0(slcrc0,xx),u)
| aElementOf0(u,slcrc0) ),
inference(rew,[status(thm),theory(equality)],[2262,2260]),
[iquote('4:Rew:2262.0,2260.0')] ).
cnf(2355,plain,
( aElementOf0(skf7(sdtpldt0(slcrc0,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(slcrc0,xx),skf7(sdtpldt0(slcrc0,xx),xx,xS)) ),
inference(rew,[status(thm),theory(equality)],[2262,2320]),
[iquote('4:Rew:2262.0,2320.1')] ).
cnf(2532,plain,
( ~ aElement0(xx)
| ~ aSet0(slcrc0)
| ~ skP0(xx,slcrc0,u)
| equal(u,xx) ),
inference(res,[status(thm),theory(equality)],[658,2335]),
[iquote('4:Res:658.3,2335.0')] ).
cnf(2535,plain,
( ~ skP0(xx,slcrc0,u)
| equal(u,xx) ),
inference(ssi,[status(thm)],[2532,1,339,2]),
[iquote('4:SSi:2532.1,2532.0,1.0,339.0,2.0')] ).
cnf(2571,plain,
( ~ aElement0(u)
| ~ aElementOf0(u,slcrc0)
| equal(u,xx) ),
inference(res,[status(thm),theory(equality)],[23,2535]),
[iquote('4:Res:23.2,2535.0')] ).
cnf(2573,plain,
~ aElementOf0(u,slcrc0),
inference(mrr,[status(thm)],[2571,866,2202]),
[iquote('4:MRR:2571.0,2571.2,866.1,2202.0')] ).
cnf(2575,plain,
~ skP1(xx,sdtpldt0(slcrc0,xx),u),
inference(mrr,[status(thm)],[2339,2573]),
[iquote('4:MRR:2339.1,2573.0')] ).
cnf(2576,plain,
aElementOf0(skf7(sdtpldt0(slcrc0,xx),xx,xS),xS),
inference(mrr,[status(thm)],[2355,2575]),
[iquote('4:MRR:2355.1,2575.0')] ).
cnf(2627,plain,
( ~ aElementOf0(u,xS)
| equal(u,xx) ),
inference(res,[status(thm),theory(equality)],[2276,2335]),
[iquote('4:Res:2276.1,2335.0')] ).
cnf(2638,plain,
equal(skf7(sdtpldt0(slcrc0,xx),xx,xS),xx),
inference(res,[status(thm),theory(equality)],[2576,2627]),
[iquote('4:Res:2576.0,2627.0')] ).
cnf(2643,plain,
aElementOf0(xx,xS),
inference(rew,[status(thm),theory(equality)],[2638,2576]),
[iquote('4:Rew:2638.0,2576.0')] ).
cnf(2646,plain,
$false,
inference(mrr,[status(thm)],[2643,5]),
[iquote('4:MRR:2643.0,5.0')] ).
cnf(2656,plain,
~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),slcrc0),
inference(spt,[spt(split,[position(s2s2s2sa)])],[2646,2197]),
[iquote('4:Spt:2646.0,182.0,2197.0')] ).
cnf(2657,plain,
aElementOf0(skf4(sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx)),
inference(spt,[spt(split,[position(s2s2s2s2)])],[182]),
[iquote('4:Spt:2646.0,182.1')] ).
cnf(2659,plain,
~ equal(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),xx),
inference(mrr,[status(thm)],[652,2656]),
[iquote('4:MRR:652.1,2656.0')] ).
cnf(2660,plain,
aElementOf0(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),sdtpldt0(xS,xx)),
inference(mrr,[status(thm)],[655,2656]),
[iquote('4:MRR:655.0,2656.0')] ).
cnf(2919,plain,
( equal(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),xx)
| aElementOf0(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),xS) ),
inference(res,[status(thm),theory(equality)],[2660,25]),
[iquote('4:Res:2660.0,25.0')] ).
cnf(2922,plain,
aElementOf0(skf5(sdtmndt0(sdtpldt0(xS,xx),xx),u),xS),
inference(mrr,[status(thm)],[2919,2659]),
[iquote('4:MRR:2919.0,2659.0')] ).
cnf(2945,plain,
( ~ aSet0(xS)
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(res,[status(thm),theory(equality)],[2922,37]),
[iquote('4:Res:2922.0,37.2')] ).
cnf(2947,plain,
aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS),
inference(ssi,[status(thm)],[2945,183,203,3,2]),
[iquote('4:SSi:2945.1,2945.0,183.0,203.0,3.0,2.0,2.2,3.2')] ).
cnf(2948,plain,
~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(mrr,[status(thm)],[120,2947]),
[iquote('4:MRR:120.1,2947.0')] ).
cnf(2961,plain,
( ~ aSet0(xS)
| aElementOf0(skf5(xS,u),xS)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(res,[status(thm),theory(equality)],[2947,251]),
[iquote('4:Res:2947.0,251.1')] ).
cnf(2975,plain,
( aElementOf0(skf5(xS,u),xS)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(ssi,[status(thm)],[2961,3]),
[iquote('4:SSi:2961.0,3.0')] ).
cnf(2976,plain,
aElementOf0(skf5(xS,u),xS),
inference(mrr,[status(thm)],[2975,13]),
[iquote('4:MRR:2975.1,13.0')] ).
cnf(2982,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(xS,u)
| aElementOf0(skf5(xS,v),u) ),
inference(res,[status(thm),theory(equality)],[2976,31]),
[iquote('4:Res:2976.0,31.1')] ).
cnf(3176,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(xS,u)
| ~ aSubsetOf0(u,v)
| aElementOf0(skf5(xS,w),v) ),
inference(res,[status(thm),theory(equality)],[2982,31]),
[iquote('4:Res:2982.2,31.1')] ).
cnf(3184,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(xS,v)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf5(xS,w),u) ),
inference(mrr,[status(thm)],[3176,18]),
[iquote('4:MRR:3176.0,18.2')] ).
cnf(3816,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(sdtpldt0(xS,xx),u)
| aElementOf0(skf5(xS,v),u) ),
inference(res,[status(thm),theory(equality)],[1077,3184]),
[iquote('4:Res:1077.0,3184.1')] ).
cnf(3830,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(skf5(xS,u),sdtpldt0(xS,xx)) ),
inference(res,[status(thm),theory(equality)],[73,3816]),
[iquote('4:Res:73.0,3816.1')] ).
cnf(3835,plain,
aElementOf0(skf5(xS,u),sdtpldt0(xS,xx)),
inference(ssi,[status(thm)],[3830,203,3,2]),
[iquote('4:SSi:3830.0,203.0,3.0,2.2')] ).
cnf(5565,plain,
( ~ aSet0(xS)
| equal(skf5(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xx)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(res,[status(thm),theory(equality)],[3835,471]),
[iquote('4:Res:3835.0,471.1')] ).
cnf(5567,plain,
( equal(skf5(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xx)
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(ssi,[status(thm)],[5565,3]),
[iquote('4:SSi:5565.0,3.0')] ).
cnf(5568,plain,
equal(skf5(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xx),
inference(mrr,[status(thm)],[5567,2948]),
[iquote('4:MRR:5567.1,2948.0')] ).
cnf(5587,plain,
( ~ aSet0(xS)
| aElementOf0(xx,xS)
| equal(xS,slcrc0) ),
inference(spr,[status(thm),theory(equality)],[5568,581]),
[iquote('4:SpR:5568.0,581.1')] ).
cnf(5627,plain,
( aElementOf0(xx,xS)
| equal(xS,slcrc0) ),
inference(ssi,[status(thm)],[5587,3]),
[iquote('4:SSi:5587.0,3.0')] ).
cnf(5628,plain,
$false,
inference(mrr,[status(thm)],[5627,5,1381]),
[iquote('4:MRR:5627.0,5627.1,5.0,1381.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 : Tue Jul 5 21:49:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.91/1.18
% 0.91/1.18 SPASS V 3.9
% 0.91/1.18 SPASS beiseite: Proof found.
% 0.91/1.18 % SZS status Theorem
% 0.91/1.18 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.18 SPASS derived 4491 clauses, backtracked 296 clauses, performed 10 splits and kept 1345 clauses.
% 0.91/1.18 SPASS allocated 101835 KBytes.
% 0.91/1.18 SPASS spent 0:00:00.82 on the problem.
% 0.91/1.18 0:00:00.04 for the input.
% 0.91/1.18 0:00:00.07 for the FLOTTER CNF translation.
% 0.91/1.18 0:00:00.08 for inferences.
% 0.91/1.18 0:00:00.01 for the backtracking.
% 0.91/1.18 0:00:00.59 for the reduction.
% 0.91/1.18
% 0.91/1.18
% 0.91/1.18 Here is a proof with depth 13, length 186 :
% 0.91/1.18 % SZS output start Refutation
% See solution above
% 1.05/1.24 Formulae used in the proof : mEmpFin m__679 m__ m__679_02 mDefEmp mSubRefl mEOfElem mDefSub mDefCons mDefDiff mConsDiff mSubASymm mSubTrans
% 1.05/1.24
%------------------------------------------------------------------------------