TSTP Solution File: NUM573+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 10:38:52 EDT 2023
% Result : Theorem 115.81s 115.85s
% Output : CNFRefutation 115.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 90
% Syntax : Number of formulae : 216 ( 35 unt; 67 typ; 0 def)
% Number of atoms : 807 ( 103 equ)
% Maximal formula atoms : 181 ( 5 avg)
% Number of connectives : 1110 ( 452 ~; 484 |; 122 &)
% ( 11 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 110 ( 54 >; 56 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 13 con; 0-4 aty)
% Number of variables : 218 ( 0 sgn; 101 !; 3 ?; 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,
xj: $i ).
tff(decl_55,type,
xi: $i ).
tff(decl_56,type,
esk1_1: $i > $i ).
tff(decl_57,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk5_1: $i > $i ).
tff(decl_61,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk10_1: $i > $i ).
tff(decl_66,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk20_1: $i > $i ).
tff(decl_76,type,
esk21_1: $i > $i ).
tff(decl_77,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk31_1: $i > $i ).
tff(decl_87,type,
esk32_0: $i ).
tff(decl_88,type,
esk33_0: $i ).
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/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
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/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(mDiffCons,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardS) ).
fof(m__3786,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3786) ).
fof(mSegSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
<=> ( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(m__,conjecture,
( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegLess) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
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/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(mSuccEquSucc,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( szszuzczcdt0(X1) = szszuzczcdt0(X2)
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEquSucc) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [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)) )
=> ( 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)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(m__3754,hypothesis,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X2,X1)
=> ( iLess0(X1,xi)
=> ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> aElementOf0(X3,sdtlpdtrp0(xN,X2)) )
& aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(mIH,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> iLess0(X1,szszuzczcdt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(c_0_23,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])])])])])]) ).
cnf(c_0_24,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_25,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_26,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,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_28,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_29,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_30,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_34,plain,
! [X1,X2] :
( ( aElement0(X1)
& aSet0(X2) )
=> ( ~ aElementOf0(X1,X2)
=> sdtmndt0(sdtpldt0(X2,X1),X1) = X2 ) ),
inference(fof_simplification,[status(thm)],[mDiffCons]) ).
fof(c_0_35,plain,
! [X29,X30,X31,X32,X33,X34] :
( ( aSet0(X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElement0(X32)
| ~ aElementOf0(X32,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElementOf0(X32,X29)
| X32 = X30
| ~ aElementOf0(X32,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( ~ aElementOf0(X33,X29)
| ~ aElement0(X33)
| aElementOf0(X33,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( X33 != X30
| ~ aElement0(X33)
| aElementOf0(X33,X31)
| X31 != sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( ~ aElementOf0(esk3_3(X29,X30,X34),X29)
| ~ aElement0(esk3_3(X29,X30,X34))
| ~ aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( esk3_3(X29,X30,X34) != X30
| ~ aElement0(esk3_3(X29,X30,X34))
| ~ aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElement0(esk3_3(X29,X30,X34))
| aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) )
& ( aElementOf0(esk3_3(X29,X30,X34),X29)
| esk3_3(X29,X30,X34) = X30
| aElementOf0(esk3_3(X29,X30,X34),X34)
| ~ aSet0(X34)
| X34 = sdtpldt0(X29,X30)
| ~ aSet0(X29)
| ~ aElement0(X30) ) ),
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)],[mDefCons])])])])])]) ).
fof(c_0_36,plain,
! [X112] :
( ~ aElementOf0(X112,szNzAzT0)
| sbrdtbr0(slbdtrb0(X112)) = X112 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_39,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_32,c_0_33]),c_0_33]) ).
fof(c_0_40,plain,
! [X45,X46] :
( ~ aElement0(X45)
| ~ aSet0(X46)
| aElementOf0(X45,X46)
| sdtmndt0(sdtpldt0(X46,X45),X45) = X46 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_41,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X75] :
( ~ aSet0(X75)
| aElement0(sbrdtbr0(X75)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
cnf(c_0_43,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,hypothesis,
aElementOf0(xj,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
cnf(c_0_45,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_37]) ).
fof(c_0_46,plain,
! [X106,X107] :
( ( ~ aElementOf0(X106,slbdtrb0(szszuzczcdt0(X107)))
| aElementOf0(X106,slbdtrb0(X107))
| X106 = X107
| ~ aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X107,szNzAzT0) )
& ( ~ aElementOf0(X106,slbdtrb0(X107))
| aElementOf0(X106,slbdtrb0(szszuzczcdt0(X107)))
| ~ aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X107,szNzAzT0) )
& ( X106 != X107
| aElementOf0(X106,slbdtrb0(szszuzczcdt0(X107)))
| ~ aElementOf0(X106,szNzAzT0)
| ~ aElementOf0(X107,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegSucc])])]) ).
cnf(c_0_47,plain,
( ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ aSubsetOf0(X4,X1)
| ~ aElementOf0(X3,X4)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_31]) ).
cnf(c_0_48,plain,
( aElementOf0(X1,X2)
| sdtmndt0(sdtpldt0(X2,X1),X1) = X2
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_51,hypothesis,
sbrdtbr0(slbdtrb0(xj)) = xj,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,hypothesis,
aSet0(slbdtrb0(xj)),
inference(spm,[status(thm)],[c_0_45,c_0_44]) ).
cnf(c_0_53,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| X1 != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_54,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])])]) ).
fof(c_0_55,plain,
! [X63,X64] :
( ( ~ sdtlseqdt0(X63,X64)
| sdtlseqdt0(szszuzczcdt0(X63),szszuzczcdt0(X64))
| ~ aElementOf0(X63,szNzAzT0)
| ~ aElementOf0(X64,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X63),szszuzczcdt0(X64))
| sdtlseqdt0(X63,X64)
| ~ aElementOf0(X63,szNzAzT0)
| ~ aElementOf0(X64,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(c_0_56,negated_conjecture,
~ ( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,sdtlpdtrp0(xN,xj)) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_57,plain,
( aElementOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X4,X3)
| ~ aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_58,hypothesis,
aElement0(xj),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_59,plain,
( aElementOf0(X1,slbdtrb0(szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_61,plain,
! [X108,X109] :
( ( ~ sdtlseqdt0(X108,X109)
| aSubsetOf0(slbdtrb0(X108),slbdtrb0(X109))
| ~ aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X109,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X108),slbdtrb0(X109))
| sdtlseqdt0(X108,X109)
| ~ aElementOf0(X108,szNzAzT0)
| ~ aElementOf0(X109,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
cnf(c_0_62,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
cnf(c_0_63,plain,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
fof(c_0_64,negated_conjecture,
( sdtlseqdt0(xj,xi)
& aElementOf0(esk32_0,szNzAzT0)
& szszuzczcdt0(esk32_0) = xi
& sdtlseqdt0(xj,xi)
& aElementOf0(esk33_0,sdtlpdtrp0(xN,xi))
& ~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj))
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).
cnf(c_0_65,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,X2)
| X2 != slbdtrb0(X3)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_66,hypothesis,
( aElementOf0(xj,X1)
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X3,X2)
| ~ aElementOf0(xj,X3)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,hypothesis,
aElementOf0(xj,slbdtrb0(szszuzczcdt0(xj))),
inference(spm,[status(thm)],[c_0_59,c_0_44]) ).
fof(c_0_68,plain,
! [X23] :
( ~ aSet0(X23)
| aSubsetOf0(X23,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_69,hypothesis,
aElementOf0(szszuzczcdt0(xj),szNzAzT0),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_70,plain,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,hypothesis,
aElementOf0(szszuzczcdt0(xi),szNzAzT0),
inference(spm,[status(thm)],[c_0_60,c_0_62]) ).
cnf(c_0_72,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xi))
| ~ sdtlseqdt0(X1,xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_73,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
fof(c_0_74,plain,
! [X58] :
( ( aElementOf0(esk5_1(X58),szNzAzT0)
| X58 = sz00
| ~ aElementOf0(X58,szNzAzT0) )
& ( X58 = szszuzczcdt0(esk5_1(X58))
| X58 = sz00
| ~ aElementOf0(X58,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])]) ).
cnf(c_0_75,plain,
( szszuzczcdt0(X1) != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_76,negated_conjecture,
szszuzczcdt0(esk32_0) = xi,
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_77,negated_conjecture,
aElementOf0(esk32_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_78,plain,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_65]) ).
cnf(c_0_79,hypothesis,
( aElementOf0(xj,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),X2)
| ~ aSubsetOf0(X2,X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_80,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,hypothesis,
aSet0(slbdtrb0(szszuzczcdt0(xj))),
inference(spm,[status(thm)],[c_0_45,c_0_69]) ).
cnf(c_0_82,hypothesis,
( aSubsetOf0(slbdtrb0(X1),slbdtrb0(szszuzczcdt0(xi)))
| ~ sdtlseqdt0(X1,szszuzczcdt0(xi))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_83,hypothesis,
sdtlseqdt0(szszuzczcdt0(xj),szszuzczcdt0(xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_44]),c_0_73])]) ).
fof(c_0_84,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])])])]) ).
cnf(c_0_85,plain,
( aElementOf0(esk5_1(X1),szNzAzT0)
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,negated_conjecture,
xi != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
fof(c_0_87,plain,
! [X56,X57] :
( ~ aElementOf0(X56,szNzAzT0)
| ~ aElementOf0(X57,szNzAzT0)
| szszuzczcdt0(X56) != szszuzczcdt0(X57)
| X56 = X57 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccEquSucc])]) ).
cnf(c_0_88,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_89,plain,
( aElementOf0(X1,slbdtrb0(X2))
| X1 = X2
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_90,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xi))) ),
inference(spm,[status(thm)],[c_0_78,c_0_71]) ).
cnf(c_0_91,hypothesis,
( aElementOf0(xj,X1)
| ~ aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),X1)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_92,hypothesis,
aSubsetOf0(slbdtrb0(szszuzczcdt0(xj)),slbdtrb0(szszuzczcdt0(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_69]),c_0_83])]) ).
cnf(c_0_93,hypothesis,
aSet0(slbdtrb0(szszuzczcdt0(xi))),
inference(spm,[status(thm)],[c_0_45,c_0_71]) ).
fof(c_0_94,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])])]) ).
cnf(c_0_95,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,hypothesis,
aElementOf0(esk5_1(xi),szNzAzT0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_62]),c_0_86]) ).
cnf(c_0_97,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X1) != szszuzczcdt0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,plain,
( X1 = szszuzczcdt0(esk5_1(X1))
| X1 = sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_99,hypothesis,
! [X197,X199,X200,X201,X202] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElement0(X200)
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElement0(X201)
| ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
| X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
| aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(esk31_1(X197),sdtlpdtrp0(xN,X197))
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElement0(X200)
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElement0(X201)
| ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
| X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
| aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aElementOf0(esk31_1(X197),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X197))
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X197)),sdtlpdtrp0(xN,X197))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X199,sdtlpdtrp0(xN,X197))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X197)),X199)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElement0(X200)
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aElementOf0(X200,sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( X200 != szmzizndt0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X200,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElement0(X201)
| ~ aElementOf0(X201,sdtlpdtrp0(xN,X197))
| X201 = szmzizndt0(sdtlpdtrp0(xN,X197))
| aElementOf0(X201,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( ~ aElementOf0(X202,sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| aElementOf0(X202,sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X197)),sdtmndt0(sdtlpdtrp0(xN,X197),szmzizndt0(sdtlpdtrp0(xN,X197))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X197)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X197),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X197))
| ~ aElementOf0(X197,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)],[m__3623])])])])])]) ).
fof(c_0_100,hypothesis,
! [X205,X206,X207] :
( ( ~ aElementOf0(X207,sdtlpdtrp0(xN,X205))
| aElementOf0(X207,sdtlpdtrp0(xN,X206))
| ~ iLess0(X205,xi)
| ~ sdtlseqdt0(X206,X205)
| ~ aElementOf0(X205,szNzAzT0)
| ~ aElementOf0(X206,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X205),sdtlpdtrp0(xN,X206))
| ~ iLess0(X205,xi)
| ~ 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_101,plain,
! [X74] :
( ~ aElementOf0(X74,szNzAzT0)
| iLess0(X74,szszuzczcdt0(X74)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIH])]) ).
cnf(c_0_102,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_103,plain,
( sdtlseqdt0(szszuzczcdt0(X1),X2)
| ~ aElementOf0(X1,slbdtrb0(X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(er,[status(thm)],[c_0_88]) ).
cnf(c_0_104,hypothesis,
( X1 = xi
| aElementOf0(X1,slbdtrb0(xi))
| ~ aElementOf0(X1,slbdtrb0(szszuzczcdt0(xi))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_62]),c_0_90]) ).
cnf(c_0_105,hypothesis,
aElementOf0(xj,slbdtrb0(szszuzczcdt0(xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_106,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_107,hypothesis,
aSet0(sdtlpdtrp0(xN,esk5_1(xi))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( X1 = esk32_0
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_76]),c_0_77])]) ).
cnf(c_0_109,hypothesis,
szszuzczcdt0(esk5_1(xi)) = xi,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_62]),c_0_86]) ).
cnf(c_0_110,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_111,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_112,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_113,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ iLess0(X1,xi)
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_114,plain,
( iLess0(X1,szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_115,negated_conjecture,
( sdtlseqdt0(X1,esk32_0)
| ~ sdtlseqdt0(szszuzczcdt0(X1),xi)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_77]),c_0_76]) ).
cnf(c_0_116,hypothesis,
( sdtlseqdt0(szszuzczcdt0(X1),xi)
| ~ aElementOf0(X1,slbdtrb0(xi)) ),
inference(spm,[status(thm)],[c_0_103,c_0_62]) ).
cnf(c_0_117,hypothesis,
( xj = xi
| aElementOf0(xj,slbdtrb0(xi)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_118,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_119,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_120,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk5_1(xi))) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_121,hypothesis,
esk5_1(xi) = esk32_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_96])]) ).
cnf(c_0_122,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_123,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,xj))
| ~ iLess0(X1,xi)
| ~ sdtlseqdt0(xj,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_113,c_0_44]) ).
cnf(c_0_124,negated_conjecture,
iLess0(esk32_0,xi),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_77]),c_0_76]) ).
cnf(c_0_125,hypothesis,
( sdtlseqdt0(xj,esk32_0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(spm,[status(thm)],[c_0_115,c_0_44]) ).
cnf(c_0_126,hypothesis,
( xj = xi
| sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_127,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_128,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_119,c_0_111]),c_0_112]) ).
cnf(c_0_129,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk32_0)) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_130,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk32_0)),sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_122,c_0_77]) ).
cnf(c_0_131,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk32_0),szNzAzT0),
inference(spm,[status(thm)],[c_0_112,c_0_77]) ).
cnf(c_0_132,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_133,negated_conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_77]),c_0_124])]) ).
cnf(c_0_134,hypothesis,
( xj = xi
| sdtlseqdt0(xj,esk32_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_135,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xj),szNzAzT0),
inference(spm,[status(thm)],[c_0_112,c_0_44]) ).
cnf(c_0_136,plain,
( aElementOf0(X1,X2)
| ~ aSubsetOf0(X3,sdtmndt0(X2,X4))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_30]),c_0_31]) ).
cnf(c_0_137,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),sdtmndt0(sdtlpdtrp0(xN,esk32_0),szmzizndt0(sdtlpdtrp0(xN,esk32_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_77]),c_0_76]) ).
cnf(c_0_138,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk32_0))),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_139,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk32_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_131]),c_0_132])]) ).
cnf(c_0_140,negated_conjecture,
( xj = xi
| aSubsetOf0(sdtlpdtrp0(xN,esk32_0),sdtlpdtrp0(xN,xj)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,hypothesis,
aSet0(sdtlpdtrp0(xN,xj)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_135]),c_0_132])]) ).
cnf(c_0_142,negated_conjecture,
( aElementOf0(X1,sdtlpdtrp0(xN,esk32_0))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_139])]) ).
cnf(c_0_143,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_144,negated_conjecture,
( xj = xi
| aElementOf0(X1,sdtlpdtrp0(xN,xj))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk32_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_140]),c_0_141])]) ).
cnf(c_0_145,negated_conjecture,
aElementOf0(esk33_0,sdtlpdtrp0(xN,esk32_0)),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
~ aElementOf0(esk33_0,sdtlpdtrp0(xN,xj)),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_147,negated_conjecture,
xj = xi,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM573+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n004.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 : 300
% 0.13/0.34 % DateTime : Fri Aug 25 13:06:23 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 115.81/115.85 % Version : CSE_E---1.5
% 115.81/115.85 % Problem : theBenchmark.p
% 115.81/115.85 % Proof found
% 115.81/115.85 % SZS status Theorem for theBenchmark.p
% 115.81/115.85 % SZS output start Proof
% See solution above
% 115.81/115.87 % Total time : 115.284000 s
% 115.81/115.87 % SZS output end Proof
% 115.81/115.87 % Total time : 115.295000 s
%------------------------------------------------------------------------------