TSTP Solution File: NUM581+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM581+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 : n021.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 10:38:56 EDT 2023
% Result : Theorem 9.78s 9.95s
% Output : CNFRefutation 9.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 80
% Syntax : Number of formulae : 125 ( 19 unt; 67 typ; 0 def)
% Number of atoms : 497 ( 45 equ)
% Maximal formula atoms : 181 ( 8 avg)
% Number of connectives : 693 ( 254 ~; 275 |; 128 &)
% ( 8 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 112 ( 55 >; 57 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 12 con; 0-4 aty)
% Number of variables : 86 ( 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,
xQ: $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_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk33_0: $i ).
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(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/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
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__3989_02,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xi))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989_02) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(m__,conjecture,
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4007,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) )
& sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4007) ).
fof(m__3989,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).
fof(m__3435,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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(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(c_0_13,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_14,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_15,plain,
! [X61] :
( ~ aElementOf0(X61,szNzAzT0)
| sdtlseqdt0(sz00,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
fof(c_0_16,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])])])])])]) ).
fof(c_0_17,hypothesis,
! [X212,X213,X214] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ( ~ aElementOf0(X212,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X212) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( aElement0(X213)
| ~ aElementOf0(X213,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X213,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X213,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( X213 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X213,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElement0(X213)
| ~ aElementOf0(X213,sdtlpdtrp0(xN,xi))
| X213 = szmzizndt0(sdtlpdtrp0(xN,xi))
| aElementOf0(X213,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(xQ)
& ( ~ aElementOf0(X214,xQ)
| aElementOf0(X214,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3989_02])])])]) ).
cnf(c_0_18,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_20,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,negated_conjecture,
~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) ) )
=> ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xQ)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xi)) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_23,hypothesis,
! [X215,X216] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ( ~ aElementOf0(X215,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X215) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( aElement0(X216)
| ~ aElementOf0(X216,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X216,xQ)
| X216 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X216,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X216,xQ)
| ~ aElement0(X216)
| aElementOf0(X216,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( X216 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElement0(X216)
| aElementOf0(X216,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4007])])])]) ).
cnf(c_0_24,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_27,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3989]) ).
fof(c_0_28,hypothesis,
! [X169] :
( aSet0(xS)
& ( ~ aElementOf0(X169,xS)
| aElementOf0(X169,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3435])])]) ).
fof(c_0_29,negated_conjecture,
! [X217,X218] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ( ~ aElementOf0(X217,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X217) )
& aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( aElement0(X218)
| ~ aElementOf0(X218,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( aElementOf0(X218,xQ)
| X218 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X218,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( ~ aElementOf0(X218,xQ)
| ~ aElement0(X218)
| aElementOf0(X218,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& ( X218 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElement0(X218)
| aElementOf0(X218,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aElementOf0(esk33_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
& ~ aElementOf0(esk33_0,xS)
& ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS) ),
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_22])])])])]) ).
cnf(c_0_30,hypothesis,
( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| X1 != szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_31,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_32,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_33,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_34,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,hypothesis,
( aElementOf0(X1,xQ)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_37,negated_conjecture,
aElementOf0(esk33_0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
inference(er,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,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_42,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_43,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,xi)) = esk33_0
| aElementOf0(esk33_0,xQ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
~ aElementOf0(esk33_0,xS),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,hypothesis,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,hypothesis,
aSet0(sdtlpdtrp0(xN,xi)),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_47,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X1,xQ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_49,negated_conjecture,
aElementOf0(esk33_0,xQ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_50,hypothesis,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_25]),c_0_46])]) ).
cnf(c_0_51,hypothesis,
aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_52,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_53,hypothesis,
aElementOf0(esk33_0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,hypothesis,
aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_50]),c_0_51])]) ).
cnf(c_0_55,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xi)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_34]),c_0_35])]) ).
cnf(c_0_56,hypothesis,
aElementOf0(esk33_0,sdtlpdtrp0(xN,xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_46])]) ).
cnf(c_0_57,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM581+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 12:01:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 start to proof: theBenchmark
% 9.78/9.95 % Version : CSE_E---1.5
% 9.78/9.95 % Problem : theBenchmark.p
% 9.78/9.95 % Proof found
% 9.78/9.95 % SZS status Theorem for theBenchmark.p
% 9.78/9.95 % SZS output start Proof
% See solution above
% 9.87/9.96 % Total time : 9.286000 s
% 9.87/9.96 % SZS output end Proof
% 9.87/9.96 % Total time : 9.293000 s
%------------------------------------------------------------------------------