TSTP Solution File: NUM577+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM577+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 : n022.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 10:38:54 EDT 2023
% Result : Theorem 31.57s 31.68s
% Output : CNFRefutation 31.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 78
% Syntax : Number of formulae : 128 ( 14 unt; 68 typ; 0 def)
% Number of atoms : 629 ( 58 equ)
% Maximal formula atoms : 181 ( 10 avg)
% Number of connectives : 905 ( 336 ~; 383 |; 148 &)
% ( 6 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 7 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 : 59 ( 59 usr; 14 con; 0-4 aty)
% Number of variables : 106 ( 0 sgn; 63 !; 0 ?; 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,
xi: $i ).
tff(decl_55,type,
xj: $i ).
tff(decl_56,type,
xn: $i ).
tff(decl_57,type,
xm: $i ).
tff(decl_58,type,
esk1_1: $i > $i ).
tff(decl_59,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk5_1: $i > $i ).
tff(decl_63,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk10_1: $i > $i ).
tff(decl_68,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk20_1: $i > $i ).
tff(decl_78,type,
esk21_1: $i > $i ).
tff(decl_79,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk31_1: $i > $i ).
tff(decl_89,type,
esk32_0: $i ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
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__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(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(m__3904,hypothesis,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3904) ).
fof(m__,conjecture,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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(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(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/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(c_0_10,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_11,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_12,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_13,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_14,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3904]) ).
fof(c_0_16,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X1) )
& szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,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_18,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_19,hypothesis,
( aSet0(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_11]) ).
cnf(c_0_20,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,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])])])]) ).
cnf(c_0_23,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,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_11]) ).
fof(c_0_26,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_27,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,hypothesis,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_29,negated_conjecture,
! [X208,X209,X211,X212] :
( sdtlseqdt0(szszuzczcdt0(xn),xm)
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X208,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X208) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| ~ aElementOf0(X208,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X208) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X208,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X208) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| ~ aElementOf0(X208,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X208) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X208,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X208) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElement0(X209)
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(X209,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| aElementOf0(X209,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| aElementOf0(X209,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| X209 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| X209 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| X209 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| X209 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| X209 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElement0(X209)
| ~ aElementOf0(X209,sdtlpdtrp0(xN,xn))
| X209 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| ~ aElement0(X209)
| ~ aElementOf0(X209,sdtlpdtrp0(xN,xn))
| X209 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aElement0(X209)
| ~ aElementOf0(X209,sdtlpdtrp0(xN,xn))
| X209 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| ~ aElement0(X209)
| ~ aElementOf0(X209,sdtlpdtrp0(xN,xn))
| X209 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElement0(X209)
| ~ aElementOf0(X209,sdtlpdtrp0(xN,xn))
| X209 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X209,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(esk32_0,sdtlpdtrp0(xN,xm)) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(esk32_0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X211,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X211)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),X212)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_30,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,hypothesis,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_33,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_35,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_24]) ).
cnf(c_0_37,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_25,c_0_20]),c_0_21]) ).
cnf(c_0_38,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_40,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_11]) ).
cnf(c_0_41,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_30,c_0_31]),c_0_31]) ).
cnf(c_0_43,hypothesis,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_44,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ sdtlseqdt0(szszuzczcdt0(xn),X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_45,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3904]) ).
cnf(c_0_46,negated_conjecture,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_47,plain,
( ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_48,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(spm,[status(thm)],[c_0_37,c_0_15]) ).
cnf(c_0_49,hypothesis,
aSet0(sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[c_0_27,c_0_15]) ).
cnf(c_0_50,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_51,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_40,c_0_20]),c_0_21]) ).
cnf(c_0_52,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_53,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_54,hypothesis,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),c_0_50]) ).
cnf(c_0_55,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(spm,[status(thm)],[c_0_51,c_0_45]) ).
cnf(c_0_56,negated_conjecture,
szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_48])]) ).
cnf(c_0_57,hypothesis,
( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_35]),c_0_39])]) ).
cnf(c_0_58,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm)),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM577+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
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 16:43:55 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 31.57/31.68 % Version : CSE_E---1.5
% 31.57/31.68 % Problem : theBenchmark.p
% 31.57/31.68 % Proof found
% 31.57/31.68 % SZS status Theorem for theBenchmark.p
% 31.57/31.68 % SZS output start Proof
% See solution above
% 31.57/31.69 % Total time : 31.101000 s
% 31.57/31.69 % SZS output end Proof
% 31.57/31.69 % Total time : 31.110000 s
%------------------------------------------------------------------------------