TSTP Solution File: NUM628+3 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM628+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 : 300s
% DateTime : Thu Aug 31 10:39:28 EDT 2023
% Result : Theorem 95.81s 95.94s
% Output : CNFRefutation 95.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 120
% Syntax : Number of formulae : 219 ( 41 unt; 93 typ; 0 def)
% Number of atoms : 1158 ( 211 equ)
% Maximal formula atoms : 518 ( 9 avg)
% Number of connectives : 1617 ( 585 ~; 670 |; 276 &)
% ( 17 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 141 ( 74 >; 67 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 80 ( 80 usr; 19 con; 0-4 aty)
% Number of variables : 193 ( 0 sgn; 139 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aSet0: $i > $o ).
tff(decl_23,type,
aElement0: $i > $o ).
tff(decl_24,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_25,type,
isFinite0: $i > $o ).
tff(decl_26,type,
slcrc0: $i ).
tff(decl_27,type,
isCountable0: $i > $o ).
tff(decl_28,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_30,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_31,type,
szNzAzT0: $i ).
tff(decl_32,type,
sz00: $i ).
tff(decl_33,type,
szszuzczcdt0: $i > $i ).
tff(decl_34,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_35,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_36,type,
sbrdtbr0: $i > $i ).
tff(decl_37,type,
szmzizndt0: $i > $i ).
tff(decl_38,type,
szmzazxdt0: $i > $i ).
tff(decl_39,type,
slbdtrb0: $i > $i ).
tff(decl_40,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff(decl_41,type,
aFunction0: $i > $o ).
tff(decl_42,type,
szDzozmdt0: $i > $i ).
tff(decl_43,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff(decl_44,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_45,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff(decl_46,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(decl_47,type,
szDzizrdt0: $i > $i ).
tff(decl_48,type,
xT: $i ).
tff(decl_49,type,
xK: $i ).
tff(decl_50,type,
xS: $i ).
tff(decl_51,type,
xc: $i ).
tff(decl_52,type,
xk: $i ).
tff(decl_53,type,
xN: $i ).
tff(decl_54,type,
xC: $i ).
tff(decl_55,type,
xe: $i ).
tff(decl_56,type,
xd: $i ).
tff(decl_57,type,
xO: $i ).
tff(decl_58,type,
xQ: $i ).
tff(decl_59,type,
xp: $i ).
tff(decl_60,type,
xP: $i ).
tff(decl_61,type,
xn: $i ).
tff(decl_62,type,
epred1_1: $i > $o ).
tff(decl_63,type,
epred2_1: $i > $o ).
tff(decl_64,type,
epred3_1: $i > $o ).
tff(decl_65,type,
epred4_1: $i > $o ).
tff(decl_66,type,
esk1_1: $i > $i ).
tff(decl_67,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk5_1: $i > $i ).
tff(decl_71,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk10_1: $i > $i ).
tff(decl_76,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk20_1: $i > $i ).
tff(decl_86,type,
esk21_1: $i > $i ).
tff(decl_87,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk31_1: $i > $i ).
tff(decl_97,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk34_1: $i > $i ).
tff(decl_100,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk37_1: $i > $i ).
tff(decl_103,type,
esk38_1: $i > $i ).
tff(decl_104,type,
esk39_1: $i > $i ).
tff(decl_105,type,
esk40_0: $i ).
tff(decl_106,type,
esk41_0: $i ).
tff(decl_107,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
esk47_1: $i > $i ).
tff(decl_113,type,
esk48_1: $i > $i ).
tff(decl_114,type,
esk49_2: ( $i * $i ) > $i ).
fof(m__4854,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(m__5182,hypothesis,
? [X1] :
( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X1) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(m__3821,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0)
& X1 != X2 )
=> ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X2))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X2))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
| szmzizndt0(sdtlpdtrp0(xN,X1)) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3821) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(mLessSucc,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> aElementOf0(X2,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& X1 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
fof(m__5147,hypothesis,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(m__5106,hypothesis,
( ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
fof(m__5078,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5217) ).
fof(m__5334,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(c_0_26,hypothesis,
! [X236] :
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( aElementOf0(X236,szDzozmdt0(xd))
| ~ aElementOf0(X236,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( sdtlpdtrp0(xd,X236) = szDzizrdt0(xd)
| ~ aElementOf0(X236,sdtlbdtrb0(xd,szDzizrdt0(xd))) )
& ( ~ aElementOf0(X236,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X236) != szDzizrdt0(xd)
| aElementOf0(X236,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4854])])])]) ).
fof(c_0_27,hypothesis,
! [X228,X229] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk36_2(X228,X229),X229)
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aElementOf0(esk36_2(X228,X229),sdtlpdtrp0(xN,szszuzczcdt0(X228)))
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aSubsetOf0(X229,sdtlpdtrp0(xN,szszuzczcdt0(X228)))
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aElementOf0(X229,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X228)),xk))
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])]) ).
fof(c_0_28,hypothesis,
( aElementOf0(esk41_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,esk41_0) = xp ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__5182])]) ).
fof(c_0_29,hypothesis,
! [X226,X227] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X226),sdtlpdtrp0(xN,X226))
| ~ aElementOf0(X226,szNzAzT0) )
& ( ~ aElementOf0(X227,sdtlpdtrp0(xN,X226))
| sdtlseqdt0(sdtlpdtrp0(xe,X226),X227)
| ~ aElementOf0(X226,szNzAzT0) )
& ( sdtlpdtrp0(xe,X226) = szmzizndt0(sdtlpdtrp0(xN,X226))
| ~ aElementOf0(X226,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])]) ).
cnf(c_0_30,hypothesis,
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_33,hypothesis,
aElementOf0(esk41_0,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,hypothesis,
! [X208,X209,X210] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X208)),sdtlpdtrp0(xN,X208))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( ~ aElementOf0(X210,sdtlpdtrp0(xN,X208))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X208)),X210)
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( aElementOf0(esk32_2(X208,X209),sdtlpdtrp0(xN,X209))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X208)),sdtlpdtrp0(xN,X209))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X208)),esk32_2(X208,X209))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X208)),sdtlpdtrp0(xN,X209))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 )
& ( szmzizndt0(sdtlpdtrp0(xN,X208)) != szmzizndt0(sdtlpdtrp0(xN,X209))
| ~ aElementOf0(X208,szNzAzT0)
| ~ aElementOf0(X209,szNzAzT0)
| X208 = X209 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3821])])])])]) ).
cnf(c_0_35,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_37,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_38,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_39,hypothesis,
aElementOf0(esk41_0,sdtlbdtrb0(xd,sdtlpdtrp0(xd,xn))),
inference(rw,[status(thm)],[c_0_33,c_0_32]) ).
fof(c_0_40,hypothesis,
! [X205,X206,X207] :
( ( ~ aElementOf0(X207,sdtlpdtrp0(xN,X205))
| aElementOf0(X207,sdtlpdtrp0(xN,X206))
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X205),sdtlpdtrp0(xN,X206))
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3754])])])]) ).
fof(c_0_41,plain,
! [X55] :
( ( aElementOf0(szszuzczcdt0(X55),szNzAzT0)
| ~ aElementOf0(X55,szNzAzT0) )
& ( szszuzczcdt0(X55) != sz00
| ~ aElementOf0(X55,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
cnf(c_0_42,hypothesis,
( X1 = X2
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_44,hypothesis,
aElementOf0(esk41_0,szNzAzT0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,hypothesis,
sdtlpdtrp0(xe,esk41_0) = xp,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_46,plain,
! [X65] :
( ~ aElementOf0(X65,szNzAzT0)
| sdtlseqdt0(X65,szszuzczcdt0(X65)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessSucc])]) ).
fof(c_0_47,plain,
! [X1] :
( epred2_1(X1)
<=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
introduced(definition) ).
fof(c_0_48,plain,
! [X26,X27,X28] :
( ~ aSet0(X26)
| ~ aSet0(X27)
| ~ aSet0(X28)
| ~ aSubsetOf0(X26,X27)
| ~ aSubsetOf0(X27,X28)
| aSubsetOf0(X26,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(c_0_49,plain,
! [X16,X17,X18,X19] :
( ( aSet0(X17)
| ~ aSubsetOf0(X17,X16)
| ~ aSet0(X16) )
& ( ~ aElementOf0(X18,X17)
| aElementOf0(X18,X16)
| ~ aSubsetOf0(X17,X16)
| ~ aSet0(X16) )
& ( aElementOf0(esk2_2(X16,X19),X19)
| ~ aSet0(X19)
| aSubsetOf0(X19,X16)
| ~ aSet0(X16) )
& ( ~ aElementOf0(esk2_2(X16,X19),X16)
| ~ aSet0(X19)
| aSubsetOf0(X19,X16)
| ~ aSet0(X16) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSub])])])])])]) ).
cnf(c_0_50,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,hypothesis,
( X1 = xn
| szmzizndt0(sdtlpdtrp0(xN,X1)) != xp
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_36])]) ).
cnf(c_0_53,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,esk41_0)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_45]) ).
cnf(c_0_54,plain,
( sdtlseqdt0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_55,hypothesis,
! [X203,X204] :
( ( aSet0(sdtlpdtrp0(xN,X203))
| ~ aElementOf0(X203,szNzAzT0) )
& ( ~ aElementOf0(X204,sdtlpdtrp0(xN,X203))
| aElementOf0(X204,szNzAzT0)
| ~ aElementOf0(X203,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X203),szNzAzT0)
| ~ aElementOf0(X203,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X203))
| ~ aElementOf0(X203,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])])]) ).
fof(c_0_56,plain,
! [X1] :
( epred2_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& X2 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
& sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_47]) ).
fof(c_0_57,hypothesis,
! [X253,X254] :
( aSet0(xP)
& ( ~ aElementOf0(X253,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X253) )
& ( aElement0(X254)
| ~ aElementOf0(X254,xP) )
& ( aElementOf0(X254,xQ)
| ~ aElementOf0(X254,xP) )
& ( X254 != szmzizndt0(xQ)
| ~ aElementOf0(X254,xP) )
& ( ~ aElement0(X254)
| ~ aElementOf0(X254,xQ)
| X254 = szmzizndt0(xQ)
| aElementOf0(X254,xP) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5164])])])]) ).
fof(c_0_58,hypothesis,
! [X252] :
( aElementOf0(xp,xQ)
& ( ~ aElementOf0(X252,xQ)
| sdtlseqdt0(xp,X252) )
& xp = szmzizndt0(xQ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])]) ).
fof(c_0_59,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ) ),
inference(apply_def,[status(thm)],[m__4151,c_0_47]) ).
fof(c_0_60,hypothesis,
! [X249] :
( ( ~ aElementOf0(X249,xQ)
| aElementOf0(X249,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5106])])]) ).
fof(c_0_61,plain,
! [X99,X100,X101,X102,X103] :
( ( aSet0(X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( aElementOf0(X101,szNzAzT0)
| ~ aElementOf0(X101,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X101),X99)
| ~ aElementOf0(X101,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( ~ aElementOf0(X102,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X102),X99)
| aElementOf0(X102,X100)
| X100 != slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( ~ aElementOf0(esk9_2(X99,X103),X103)
| ~ aElementOf0(esk9_2(X99,X103),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk9_2(X99,X103)),X99)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( aElementOf0(esk9_2(X99,X103),szNzAzT0)
| aElementOf0(esk9_2(X99,X103),X103)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk9_2(X99,X103)),X99)
| aElementOf0(esk9_2(X99,X103),X103)
| ~ aSet0(X103)
| X103 = slbdtrb0(X99)
| ~ aElementOf0(X99,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSeg])])])])])]) ).
cnf(c_0_62,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_63,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_64,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,xn))
| ~ sdtlseqdt0(xn,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
cnf(c_0_65,hypothesis,
aElementOf0(szszuzczcdt0(esk41_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_66,hypothesis,
esk41_0 = xn,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_44])]) ).
cnf(c_0_67,hypothesis,
sdtlseqdt0(xn,szszuzczcdt0(xn)),
inference(spm,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_68,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_69,plain,
! [X269,X270,X271,X272,X273,X274,X275,X277,X278,X279,X280,X282,X283,X284] :
( ( aFunction0(sdtlpdtrp0(xC,X269))
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X270,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X270)
| ~ epred2_1(X269) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ epred2_1(X269) )
& ( aElement0(X271)
| ~ aElementOf0(X271,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ epred2_1(X269) )
& ( aElementOf0(X271,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X271,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ epred2_1(X269) )
& ( X271 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X271,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ epred2_1(X269) )
& ( ~ aElement0(X272)
| ~ aElementOf0(X272,sdtlpdtrp0(xN,X269))
| X272 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X272,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ epred2_1(X269) )
& ( aSet0(X273)
| ~ aElementOf0(X273,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X274,X273)
| aElementOf0(X274,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X273,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( aSubsetOf0(X273,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X273,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( sbrdtbr0(X273) = xk
| ~ aElementOf0(X273,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( aElementOf0(esk43_2(X269,X275),X275)
| ~ aSet0(X275)
| sbrdtbr0(X275) != xk
| aElementOf0(X275,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( ~ aElementOf0(esk43_2(X269,X275),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X275)
| sbrdtbr0(X275) != xk
| aElementOf0(X275,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( ~ aSubsetOf0(X275,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X275) != xk
| aElementOf0(X275,szDzozmdt0(sdtlpdtrp0(xC,X269)))
| ~ epred2_1(X269) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X269)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X278,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X278)
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElement0(X279)
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(X279,sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| X279 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X279,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElement0(X280)
| ~ aElementOf0(X280,sdtlpdtrp0(xN,X269))
| X280 = szmzizndt0(sdtlpdtrp0(xN,X269))
| aElementOf0(X280,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| aElementOf0(esk44_2(X269,X277),X277)
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(esk44_2(X269,X277),sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aSubsetOf0(X277,sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))))
| sbrdtbr0(X277) != xk
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X269)),sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X282,sdtlpdtrp0(xN,X269))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X269)),X282)
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElement0(X283)
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( aElementOf0(X283,X277)
| X283 = szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElementOf0(X283,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( ~ aElementOf0(X284,X277)
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( X284 != szmzizndt0(sdtlpdtrp0(xN,X269))
| ~ aElement0(X284)
| aElementOf0(X284,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) )
& ( sdtlpdtrp0(sdtlpdtrp0(xC,X269),X277) = sdtlpdtrp0(xc,sdtpldt0(X277,szmzizndt0(sdtlpdtrp0(xN,X269))))
| ~ aElementOf0(X277,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X269),szmzizndt0(sdtlpdtrp0(xN,X269))),xk))
| ~ aSet0(X277)
| ~ epred2_1(X269) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])])]) ).
fof(c_0_70,plain,
! [X43,X44] :
( ~ aSet0(X43)
| ~ aElementOf0(X44,X43)
| sdtpldt0(sdtmndt0(X43,X44),X44) = X43 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_71,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_72,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_73,hypothesis,
! [X246] :
( aSet0(xQ)
& ( ~ aElementOf0(X246,xQ)
| aElementOf0(X246,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])]) ).
cnf(c_0_74,hypothesis,
( sdtlpdtrp0(xd,X2) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_75,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_76,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_77,hypothesis,
! [X258] :
( ( ~ aElementOf0(X258,xP)
| aElementOf0(X258,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5334])])]) ).
fof(c_0_78,hypothesis,
! [X213] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( ~ aElementOf0(X213,szNzAzT0)
| epred2_1(X213) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
fof(c_0_79,plain,
! [X112] :
( ~ aElementOf0(X112,szNzAzT0)
| sbrdtbr0(slbdtrb0(X112)) = X112 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_80,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_81,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_82,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_83,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_62,c_0_63]),c_0_63]) ).
cnf(c_0_84,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),c_0_66]),c_0_67])]) ).
cnf(c_0_85,hypothesis,
aSet0(sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[c_0_68,c_0_36]) ).
cnf(c_0_86,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(esk44_2(X1,X2),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| sbrdtbr0(X2) != xk
| ~ aSet0(X2)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_87,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_88,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_89,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_90,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_91,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_92,hypothesis,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_93,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_94,plain,
! [X36,X37,X38,X39,X40,X41] :
( ( aSet0(X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElement0(X39)
| ~ aElementOf0(X39,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElementOf0(X39,X36)
| ~ aElementOf0(X39,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( X39 != X37
| ~ aElementOf0(X39,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( ~ aElement0(X40)
| ~ aElementOf0(X40,X36)
| X40 = X37
| aElementOf0(X40,X38)
| X38 != sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( ~ aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aElement0(esk4_3(X36,X37,X41))
| ~ aElementOf0(esk4_3(X36,X37,X41),X36)
| esk4_3(X36,X37,X41) = X37
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElement0(esk4_3(X36,X37,X41))
| aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( aElementOf0(esk4_3(X36,X37,X41),X36)
| aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) )
& ( esk4_3(X36,X37,X41) != X37
| aElementOf0(esk4_3(X36,X37,X41),X41)
| ~ aSet0(X41)
| X41 = sdtmndt0(X36,X37)
| ~ aSet0(X36)
| ~ aElement0(X37) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])]) ).
fof(c_0_95,plain,
! [X8,X9] :
( ~ aSet0(X8)
| ~ aElementOf0(X9,X8)
| aElement0(X9) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_96,plain,
! [X75] :
( ~ aSet0(X75)
| aElement0(sbrdtbr0(X75)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
cnf(c_0_97,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_98,hypothesis,
aElementOf0(xp,szNzAzT0),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_99,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_82]) ).
cnf(c_0_100,hypothesis,
( aSubsetOf0(X1,sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_101,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElementOf0(esk44_2(X1,X2),X2)
| sbrdtbr0(X2) != xk
| ~ aSet0(X2)
| ~ epred2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_102,hypothesis,
( sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,X1)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP)
| ~ epred2_1(X1)
| ~ aElementOf0(esk44_2(X1,xP),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_75]),c_0_76])]) ).
cnf(c_0_103,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_81]),c_0_89])]) ).
cnf(c_0_104,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xd,xn),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_36]),c_0_91])]) ).
cnf(c_0_105,hypothesis,
epred2_1(xn),
inference(spm,[status(thm)],[c_0_92,c_0_36]) ).
cnf(c_0_106,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_107,plain,
( X1 = X3
| aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X2)
| X4 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_108,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_109,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_110,hypothesis,
sbrdtbr0(slbdtrb0(xp)) = xp,
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_111,hypothesis,
aSet0(slbdtrb0(xp)),
inference(spm,[status(thm)],[c_0_99,c_0_98]) ).
cnf(c_0_112,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_113,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[c_0_100,c_0_91]) ).
cnf(c_0_114,hypothesis,
( sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,X1)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP)
| aElementOf0(esk44_2(X1,xP),xP)
| ~ epred2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_75]),c_0_76])]) ).
cnf(c_0_115,hypothesis,
~ aElementOf0(esk44_2(xn,xP),sdtmndt0(sdtlpdtrp0(xN,xn),xp)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_53]),c_0_103]),c_0_66]),c_0_104]),c_0_66]),c_0_105]),c_0_66]),c_0_66])]),c_0_106]) ).
cnf(c_0_116,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_117,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_118,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X1,xP) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_85])]) ).
cnf(c_0_119,hypothesis,
aElementOf0(esk44_2(xn,xP),xP),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_53]),c_0_103]),c_0_66]),c_0_104]),c_0_66]),c_0_66]),c_0_105])]),c_0_106]) ).
cnf(c_0_120,hypothesis,
( esk44_2(xn,xP) = xp
| ~ aElementOf0(esk44_2(xn,xP),sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_85])]) ).
cnf(c_0_121,hypothesis,
aElementOf0(esk44_2(xn,xP),sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,hypothesis,
( X1 != szmzizndt0(xQ)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_123,hypothesis,
esk44_2(xn,xP) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]) ).
cnf(c_0_124,hypothesis,
~ aElementOf0(xp,xP),
inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_72])]) ).
cnf(c_0_125,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_123]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM628+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 17:01:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 95.81/95.94 % Version : CSE_E---1.5
% 95.81/95.94 % Problem : theBenchmark.p
% 95.81/95.94 % Proof found
% 95.81/95.94 % SZS status Theorem for theBenchmark.p
% 95.81/95.94 % SZS output start Proof
% See solution above
% 95.81/95.96 % Total time : 95.338000 s
% 95.81/95.96 % SZS output end Proof
% 95.81/95.96 % Total time : 95.352000 s
%------------------------------------------------------------------------------