TSTP Solution File: NUM536+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM536+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 72.23s 72.45s
% Output : Refutation 72.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of clauses : 78 ( 16 unt; 20 nHn; 78 RR)
% Number of literals : 261 ( 0 equ; 172 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 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(2,axiom,
aElement0(xx),
file('NUM536+1.p',unknown),
[] ).
cnf(3,axiom,
aSet0(xS),
file('NUM536+1.p',unknown),
[] ).
cnf(4,axiom,
~ aElementOf0(xx,xS),
file('NUM536+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ equal(u,slcrc0)
| aSet0(u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS),
file('NUM536+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ aElementOf0(u,v)
| ~ equal(v,slcrc0) ),
file('NUM536+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ skP1(u,v,w)
| aElementOf0(w,v) ),
file('NUM536+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElement0(v) ),
file('NUM536+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ equal(u,v)
| ~ skP1(v,w,u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ aSet0(u)
| equal(u,slcrc0)
| aElementOf0(skf4(u),u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ skP0(u,v,w)
| equal(w,u)
| aElementOf0(w,v) ),
file('NUM536+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ aElement0(u)
| ~ aElementOf0(u,v)
| skP0(w,v,u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| aSubsetOf0(v,u)
| aElementOf0(skf5(v,w),v) ),
file('NUM536+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtpldt0(v,u))
| aSet0(w) ),
file('NUM536+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtmndt0(v,u))
| aSet0(w) ),
file('NUM536+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ aElement0(u)
| ~ aElementOf0(u,v)
| equal(u,w)
| skP1(w,v,u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| equal(sdtpldt0(sdtmndt0(u,v),v),u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aElementOf0(skf5(v,u),u)
| aSubsetOf0(v,u) ),
file('NUM536+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ equal(w,sdtpldt0(v,u))
| ~ skP0(u,v,x)
| aElementOf0(x,w) ),
file('NUM536+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aElementOf0(w,x)
| ~ equal(x,sdtpldt0(v,u))
| skP0(u,v,w) ),
file('NUM536+1.p',unknown),
[] ).
cnf(35,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+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aElementOf0(skf7(v,u,w),w)
| ~ skP1(u,v,skf7(v,u,w))
| equal(w,sdtmndt0(v,u)) ),
file('NUM536+1.p',unknown),
[] ).
cnf(46,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)],[35,10]),
[iquote('0:Res:35.5,10.0')] ).
cnf(50,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(mrr,[status(thm)],[46,3,2]),
[iquote('0:MRR:46.0,46.2,3.0,2.0')] ).
cnf(65,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| aSet0(sdtmndt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[25]),
[iquote('0:EqR:25.2')] ).
cnf(66,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| aSet0(sdtpldt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[24]),
[iquote('0:EqR:24.2')] ).
cnf(180,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aElementOf0(w,sdtpldt0(v,u))
| skP0(u,v,w) ),
inference(eqr,[status(thm),theory(equality)],[33]),
[iquote('0:EqR:33.3')] ).
cnf(239,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ skP0(u,v,w)
| aElementOf0(w,sdtpldt0(v,u)) ),
inference(eqr,[status(thm),theory(equality)],[32]),
[iquote('0:EqR:32.2')] ).
cnf(388,plain,
( ~ aSet0(sdtpldt0(u,v))
| ~ aElement0(v)
| ~ aSet0(u)
| equal(sdtpldt0(u,v),slcrc0)
| skP0(v,u,skf4(sdtpldt0(u,v))) ),
inference(res,[status(thm),theory(equality)],[17,180]),
[iquote('0:Res:17.2,180.2')] ).
cnf(397,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| equal(sdtpldt0(v,u),slcrc0)
| skP0(u,v,skf4(sdtpldt0(v,u))) ),
inference(ssi,[status(thm)],[388,66]),
[iquote('0:SSi:388.0,66.2')] ).
cnf(409,plain,
( ~ aElement0(skf7(u,v,w))
| ~ aElement0(v)
| ~ aSet0(u)
| ~ aSet0(w)
| ~ aElementOf0(skf7(u,v,w),u)
| ~ aElementOf0(skf7(u,v,w),w)
| equal(skf7(u,v,w),v)
| equal(w,sdtmndt0(u,v)) ),
inference(res,[status(thm),theory(equality)],[26,37]),
[iquote('0:Res:26.3,37.4')] ).
cnf(410,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aElementOf0(skf7(v,u,w),v)
| ~ aElementOf0(skf7(v,u,w),w)
| equal(skf7(v,u,w),u)
| equal(w,sdtmndt0(v,u)) ),
inference(mrr,[status(thm)],[409,13]),
[iquote('0:MRR:409.0,13.2')] ).
cnf(430,plain,
( ~ aSet0(u)
| ~ aElement0(v)
| ~ aSet0(sdtmndt0(u,v))
| ~ aElementOf0(v,u)
| ~ skP0(v,sdtmndt0(u,v),w)
| aElementOf0(w,u) ),
inference(spr,[status(thm),theory(equality)],[27,239]),
[iquote('0:SpR:27.2,239.3')] ).
cnf(434,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aSet0(sdtpldt0(v,u))
| ~ aSet0(w)
| ~ skP0(u,v,skf5(w,sdtpldt0(v,u)))
| aSubsetOf0(w,sdtpldt0(v,u)) ),
inference(res,[status(thm),theory(equality)],[239,28]),
[iquote('0:Res:239.3,28.2')] ).
cnf(437,plain,
( ~ aSet0(u)
| ~ aElement0(v)
| ~ aElementOf0(v,u)
| ~ skP0(v,sdtmndt0(u,v),w)
| aElementOf0(w,u) ),
inference(ssi,[status(thm)],[430,65]),
[iquote('0:SSi:430.2,65.2')] ).
cnf(438,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| ~ skP0(v,sdtmndt0(u,v),w)
| aElementOf0(w,u) ),
inference(mrr,[status(thm)],[437,13]),
[iquote('0:MRR:437.1,13.2')] ).
cnf(439,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ skP0(u,v,skf5(w,sdtpldt0(v,u)))
| aSubsetOf0(w,sdtpldt0(v,u)) ),
inference(ssi,[status(thm)],[434,66]),
[iquote('0:SSi:434.2,66.2')] ).
cnf(635,plain,
( ~ aSet0(u)
| ~ aElement0(v)
| ~ aSet0(sdtmndt0(u,v))
| ~ aElementOf0(v,u)
| equal(sdtpldt0(sdtmndt0(u,v),v),slcrc0)
| skP0(v,sdtmndt0(u,v),skf4(u)) ),
inference(spr,[status(thm),theory(equality)],[27,397]),
[iquote('0:SpR:27.2,397.3')] ).
cnf(642,plain,
( ~ aSet0(u)
| ~ aElement0(v)
| ~ aSet0(sdtmndt0(u,v))
| ~ aElementOf0(v,u)
| equal(u,slcrc0)
| skP0(v,sdtmndt0(u,v),skf4(u)) ),
inference(rew,[status(thm),theory(equality)],[27,635]),
[iquote('0:Rew:27.2,635.4')] ).
cnf(643,plain,
( ~ aSet0(u)
| ~ aElement0(v)
| ~ aElementOf0(v,u)
| equal(u,slcrc0)
| skP0(v,sdtmndt0(u,v),skf4(u)) ),
inference(ssi,[status(thm)],[642,65]),
[iquote('0:SSi:642.2,65.2')] ).
cnf(644,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| skP0(v,sdtmndt0(u,v),skf4(u)) ),
inference(mrr,[status(thm)],[643,13,11]),
[iquote('0:MRR:643.1,643.3,13.2,11.1')] ).
cnf(653,plain,
( ~ aSet0(u)
| ~ aSet0(u)
| ~ aElementOf0(v,u)
| ~ aElementOf0(v,u)
| aElementOf0(skf4(u),u) ),
inference(res,[status(thm),theory(equality)],[644,438]),
[iquote('0:Res:644.2,438.2')] ).
cnf(654,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,u)
| aElementOf0(skf4(u),u) ),
inference(obv,[status(thm),theory(equality)],[653]),
[iquote('0:Obv:653.2')] ).
cnf(1099,plain,
( ~ aSet0(xS)
| ~ aElement0(xx)
| aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(sor,[status(thm)],[50,66]),
[iquote('0:SoR:50.0,66.2')] ).
cnf(1109,plain,
( aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(ssi,[status(thm)],[1099,2,3]),
[iquote('0:SSi:1099.1,1099.0,2.0,3.0')] ).
cnf(2697,plain,
aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS),
inference(spt,[spt(split,[position(s1)])],[1109]),
[iquote('1:Spt:1109.0')] ).
cnf(2708,plain,
( ~ aSet0(xS)
| aElementOf0(skf4(xS),xS) ),
inference(res,[status(thm),theory(equality)],[2697,654]),
[iquote('1:Res:2697.0,654.1')] ).
cnf(2711,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(xS,u)
| aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),u) ),
inference(res,[status(thm),theory(equality)],[2697,22]),
[iquote('1:Res:2697.0,22.1')] ).
cnf(2713,plain,
aElementOf0(skf4(xS),xS),
inference(ssi,[status(thm)],[2708,3]),
[iquote('1:SSi:2708.0,3.0')] ).
cnf(2731,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(xS,u)
| aElementOf0(skf4(xS),u) ),
inference(res,[status(thm),theory(equality)],[2713,22]),
[iquote('1:Res:2713.0,22.1')] ).
cnf(2821,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(xS,u)
| ~ equal(u,slcrc0) ),
inference(res,[status(thm),theory(equality)],[2731,11]),
[iquote('1:Res:2731.2,11.0')] ).
cnf(2832,plain,
( ~ aSubsetOf0(xS,u)
| ~ equal(u,slcrc0) ),
inference(mrr,[status(thm)],[2821,5]),
[iquote('1:MRR:2821.0,5.1')] ).
cnf(2847,plain,
( ~ aSet0(u)
| ~ aSet0(xS)
| ~ equal(u,slcrc0)
| aElementOf0(skf5(xS,v),xS) ),
inference(res,[status(thm),theory(equality)],[23,2832]),
[iquote('1:Res:23.2,2832.0')] ).
cnf(2853,plain,
( ~ aSet0(u)
| ~ equal(u,slcrc0)
| aElementOf0(skf5(xS,v),xS) ),
inference(ssi,[status(thm)],[2847,3]),
[iquote('1:SSi:2847.1,3.0')] ).
cnf(2854,plain,
( ~ equal(u,slcrc0)
| aElementOf0(skf5(xS,v),xS) ),
inference(mrr,[status(thm)],[2853,5]),
[iquote('1:MRR:2853.0,5.1')] ).
cnf(3128,plain,
aElementOf0(skf5(xS,u),xS),
inference(eqr,[status(thm),theory(equality)],[2854]),
[iquote('1:EqR:2854.0')] ).
cnf(4259,plain,
( ~ aSet0(sdtpldt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| equal(skf7(sdtpldt0(xS,xx),xx,xS),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(res,[status(thm),theory(equality)],[2711,410]),
[iquote('1:Res:2711.2,410.3')] ).
cnf(4274,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx))
| ~ aSet0(xS)
| ~ aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| equal(skf7(sdtpldt0(xS,xx),xx,xS),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(obv,[status(thm),theory(equality)],[4259]),
[iquote('1:Obv:4259.0')] ).
cnf(4275,plain,
( ~ aSubsetOf0(xS,sdtpldt0(xS,xx))
| ~ aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS)
| equal(skf7(sdtpldt0(xS,xx),xx,xS),xx)
| equal(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(ssi,[status(thm)],[4274,3,66,2]),
[iquote('1:SSi:4274.2,4274.1,4274.0,3.0,66.0,3.0,2.2,2.0')] ).
cnf(4276,plain,
( ~ aSubsetOf0(xS,sdtpldt0(xS,xx))
| equal(skf7(sdtpldt0(xS,xx),xx,xS),xx) ),
inference(mrr,[status(thm)],[4275,2697,10]),
[iquote('1:MRR:4275.1,4275.3,2697.0,10.0')] ).
cnf(4282,plain,
( ~ aSubsetOf0(xS,sdtpldt0(xS,xx))
| aElementOf0(xx,xS) ),
inference(spr,[status(thm),theory(equality)],[4276,2697]),
[iquote('1:SpR:4276.1,2697.0')] ).
cnf(4290,plain,
~ aSubsetOf0(xS,sdtpldt0(xS,xx)),
inference(mrr,[status(thm)],[4282,4]),
[iquote('1:MRR:4282.1,4.0')] ).
cnf(6690,plain,
( ~ aElement0(skf5(u,sdtpldt0(v,w)))
| ~ aElement0(w)
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aElementOf0(skf5(u,sdtpldt0(v,w)),v)
| aSubsetOf0(u,sdtpldt0(v,w)) ),
inference(res,[status(thm),theory(equality)],[19,439]),
[iquote('0:Res:19.2,439.3')] ).
cnf(6695,plain,
( ~ aElement0(u)
| ~ aSet0(v)
| ~ aSet0(w)
| ~ aElementOf0(skf5(w,sdtpldt0(v,u)),v)
| aSubsetOf0(w,sdtpldt0(v,u)) ),
inference(mrr,[status(thm)],[6690,13]),
[iquote('0:MRR:6690.0,13.2')] ).
cnf(33673,plain,
( ~ aElement0(u)
| ~ aSet0(xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtpldt0(xS,u)) ),
inference(res,[status(thm),theory(equality)],[3128,6695]),
[iquote('1:Res:3128.0,6695.3')] ).
cnf(33717,plain,
( ~ aElement0(u)
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtpldt0(xS,u)) ),
inference(obv,[status(thm),theory(equality)],[33673]),
[iquote('1:Obv:33673.1')] ).
cnf(33718,plain,
( ~ aElement0(u)
| aSubsetOf0(xS,sdtpldt0(xS,u)) ),
inference(ssi,[status(thm)],[33717,3]),
[iquote('1:SSi:33717.1,3.0')] ).
cnf(33827,plain,
~ aElement0(xx),
inference(res,[status(thm),theory(equality)],[33718,4290]),
[iquote('1:Res:33718.1,4290.0')] ).
cnf(33850,plain,
$false,
inference(ssi,[status(thm)],[33827,2]),
[iquote('1:SSi:33827.0,2.0')] ).
cnf(33874,plain,
~ aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS),
inference(spt,[spt(split,[position(sa)])],[33850,2697]),
[iquote('1:Spt:33850.0,1109.0,2697.0')] ).
cnf(33875,plain,
skP1(xx,sdtpldt0(xS,xx),skf7(sdtpldt0(xS,xx),xx,xS)),
inference(spt,[spt(split,[position(s2)])],[1109]),
[iquote('1:Spt:33850.0,1109.1')] ).
cnf(34250,plain,
aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),sdtpldt0(xS,xx)),
inference(res,[status(thm),theory(equality)],[33875,12]),
[iquote('1:Res:33875.0,12.0')] ).
cnf(34255,plain,
~ equal(skf7(sdtpldt0(xS,xx),xx,xS),xx),
inference(res,[status(thm),theory(equality)],[33875,16]),
[iquote('1:Res:33875.0,16.1')] ).
cnf(34423,plain,
( ~ aElement0(xx)
| ~ aSet0(xS)
| skP0(xx,xS,skf7(sdtpldt0(xS,xx),xx,xS)) ),
inference(res,[status(thm),theory(equality)],[34250,180]),
[iquote('1:Res:34250.0,180.2')] ).
cnf(34432,plain,
skP0(xx,xS,skf7(sdtpldt0(xS,xx),xx,xS)),
inference(ssi,[status(thm)],[34423,3,2]),
[iquote('1:SSi:34423.1,34423.0,3.0,2.0')] ).
cnf(34496,plain,
( equal(skf7(sdtpldt0(xS,xx),xx,xS),xx)
| aElementOf0(skf7(sdtpldt0(xS,xx),xx,xS),xS) ),
inference(res,[status(thm),theory(equality)],[34432,18]),
[iquote('1:Res:34432.0,18.0')] ).
cnf(34500,plain,
$false,
inference(mrr,[status(thm)],[34496,34255,33874]),
[iquote('1:MRR:34496.0,34496.1,34255.0,33874.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM536+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n005.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 : Thu Jul 7 05:50:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 72.23/72.45
% 72.23/72.45 SPASS V 3.9
% 72.23/72.45 SPASS beiseite: Proof found.
% 72.23/72.45 % SZS status Theorem
% 72.23/72.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 72.23/72.45 SPASS derived 25135 clauses, backtracked 7202 clauses, performed 22 splits and kept 12924 clauses.
% 72.23/72.45 SPASS allocated 130386 KBytes.
% 72.23/72.45 SPASS spent 0:01:05.07 on the problem.
% 72.23/72.45 0:00:00.04 for the input.
% 72.23/72.45 0:00:00.07 for the FLOTTER CNF translation.
% 72.23/72.45 0:00:00.48 for inferences.
% 72.23/72.45 0:00:01.17 for the backtracking.
% 72.23/72.45 0:01:03.15 for the reduction.
% 72.23/72.45
% 72.23/72.45
% 72.23/72.45 Here is a proof with depth 11, length 78 :
% 72.23/72.45 % SZS output start Refutation
% See solution above
% 72.23/72.45 Formulae used in the proof : m__679 m__679_02 mDefEmp m__ mDefDiff mEOfElem mDefCons mDefSub mConsDiff
% 72.23/72.45
%------------------------------------------------------------------------------