TSTP Solution File: NUM579+3 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM579+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 : n029.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 10:38:55 EDT 2023
% Result : Theorem 9.30s 9.50s
% Output : CNFRefutation 9.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 83
% Syntax : Number of formulae : 161 ( 27 unt; 67 typ; 0 def)
% Number of atoms : 692 ( 90 equ)
% Maximal formula atoms : 181 ( 7 avg)
% Number of connectives : 959 ( 361 ~; 389 |; 154 &)
% ( 13 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 5 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 : 144 ( 0 sgn; 92 !; 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,
esk1_1: $i > $i ).
tff(decl_55,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk5_1: $i > $i ).
tff(decl_59,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk10_1: $i > $i ).
tff(decl_64,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk20_1: $i > $i ).
tff(decl_74,type,
esk21_1: $i > $i ).
tff(decl_75,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk31_1: $i > $i ).
tff(decl_85,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk33_0: $i ).
tff(decl_87,type,
esk34_0: $i ).
tff(decl_88,type,
esk35_0: $i ).
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
| aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS) )
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK )
| aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
fof(mCardCons,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
fof(mCardNum,axiom,
! [X1] :
( aSet0(X1)
=> ( aElementOf0(sbrdtbr0(X1),szNzAzT0)
<=> isFinite0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
fof(mCardS,axiom,
! [X1] :
( aSet0(X1)
=> aElement0(sbrdtbr0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
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/sandbox/benchmark/theBenchmark.p',mDefCons) ).
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(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
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(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_16,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& sbrdtbr0(X2) = xk
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| X3 = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
| aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS) )
& sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK )
| aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,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_18,negated_conjecture,
! [X214,X215,X216,X217,X218] :
( aElementOf0(esk33_0,szNzAzT0)
& aSet0(esk34_0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
& ( ~ aElementOf0(X214,sdtlpdtrp0(xN,esk33_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X214) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
& ( aElement0(X215)
| ~ aElementOf0(X215,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( aElementOf0(X215,sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X215,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( X215 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X215,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( ~ aElement0(X215)
| ~ aElementOf0(X215,sdtlpdtrp0(xN,esk33_0))
| X215 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| aElementOf0(X215,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( ~ aElementOf0(X216,esk34_0)
| aElementOf0(X216,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& aSubsetOf0(esk34_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
& sbrdtbr0(esk34_0) = xk
& aElementOf0(esk34_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0))
& ( ~ aElementOf0(X217,sdtlpdtrp0(xN,esk33_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X217) )
& aSet0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
& ( aElement0(X218)
| ~ aElementOf0(X218,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( aElementOf0(X218,esk34_0)
| X218 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X218,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( ~ aElementOf0(X218,esk34_0)
| ~ aElement0(X218)
| aElementOf0(X218,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( X218 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElement0(X218)
| aElementOf0(X218,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) )
& ( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
& ( ~ aElementOf0(esk35_0,xS)
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
& ( ~ aSubsetOf0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))),xS)
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK )
& ~ aElementOf0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))),slbdtsldtrb0(xS,xK)) ),
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_19,hypothesis,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
aElementOf0(esk33_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,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])])])])])]) ).
fof(c_0_22,plain,
! [X112] :
( ~ aElementOf0(X112,szNzAzT0)
| sbrdtbr0(slbdtrb0(X112)) = X112 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_23,negated_conjecture,
( aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtlpdtrp0(xN,esk33_0)),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( aSet0(X1)
| X1 != slbdtrb0(X2)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_26,plain,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aElement0(X2)
=> ( ~ aElementOf0(X2,X1)
=> sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[mCardCons]) ).
fof(c_0_27,plain,
! [X76] :
( ( ~ aElementOf0(sbrdtbr0(X76),szNzAzT0)
| isFinite0(X76)
| ~ aSet0(X76) )
& ( ~ isFinite0(X76)
| aElementOf0(sbrdtbr0(X76),szNzAzT0)
| ~ aSet0(X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardNum])])]) ).
fof(c_0_28,plain,
! [X75] :
( ~ aSet0(X75)
| aElement0(sbrdtbr0(X75)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardS])]) ).
cnf(c_0_29,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),szNzAzT0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_25]) ).
fof(c_0_32,plain,
! [X78,X79] :
( ~ aSet0(X78)
| ~ isFinite0(X78)
| ~ aElement0(X79)
| aElementOf0(X79,X78)
| sbrdtbr0(sdtpldt0(X78,X79)) = szszuzczcdt0(sbrdtbr0(X78)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).
cnf(c_0_33,plain,
( isFinite0(X1)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
sbrdtbr0(esk34_0) = xk,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_36,negated_conjecture,
aSet0(esk34_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,plain,
( aElement0(sbrdtbr0(X1))
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
sbrdtbr0(slbdtrb0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) = szmzizndt0(sdtlpdtrp0(xN,esk33_0)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_39,negated_conjecture,
aSet0(slbdtrb0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_40,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( aElementOf0(X2,X1)
| sbrdtbr0(sdtpldt0(X1,X2)) = szszuzczcdt0(sbrdtbr0(X1))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,hypothesis,
szszuzczcdt0(xk) = xK,
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_43,negated_conjecture,
isFinite0(esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).
cnf(c_0_44,negated_conjecture,
aElement0(szmzizndt0(sdtlpdtrp0(xN,esk33_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
fof(c_0_45,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_46,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_47,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_48,plain,
! [X61] :
( ~ aElementOf0(X61,szNzAzT0)
| sdtlseqdt0(sz00,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
cnf(c_0_49,negated_conjecture,
( aElementOf0(X1,esk34_0)
| X1 = szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X1,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50,negated_conjecture,
( aElementOf0(esk35_0,sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_34]),c_0_42]),c_0_43]),c_0_44]),c_0_36])]) ).
cnf(c_0_51,negated_conjecture,
( X1 != szmzizndt0(sdtlpdtrp0(xN,esk33_0))
| ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_52,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aSet0(X3)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_53,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_54,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xN,X2))
| ~ sdtlseqdt0(X2,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_56,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0))))
| ~ aElementOf0(X1,esk34_0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_59,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| aElementOf0(esk35_0,esk34_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_61,plain,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),xS)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]) ).
fof(c_0_64,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])])]) ).
cnf(c_0_65,negated_conjecture,
( ~ aElementOf0(esk35_0,xS)
| sbrdtbr0(sdtpldt0(esk34_0,szmzizndt0(sdtlpdtrp0(xN,esk33_0)))) != xK ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_66,negated_conjecture,
( szmzizndt0(sdtlpdtrp0(xN,esk33_0)) = esk35_0
| aElementOf0(esk35_0,esk34_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| aElement0(esk35_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_50]),c_0_44]),c_0_36])]) ).
cnf(c_0_68,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),X1)
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk33_0),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_24]) ).
cnf(c_0_69,negated_conjecture,
aSubsetOf0(sdtlpdtrp0(xN,esk33_0),xS),
inference(spm,[status(thm)],[c_0_63,c_0_20]) ).
cnf(c_0_70,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( aElementOf0(esk35_0,esk34_0)
| sbrdtbr0(sdtpldt0(esk34_0,esk35_0)) != xK
| ~ aElementOf0(esk35_0,xS) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,negated_conjecture,
aElement0(esk35_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_67]),c_0_60]) ).
fof(c_0_73,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_74,negated_conjecture,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_75,negated_conjecture,
( aElementOf0(esk35_0,esk34_0)
| ~ aElementOf0(esk35_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_41]),c_0_34]),c_0_42]),c_0_43]),c_0_72]),c_0_36])]) ).
cnf(c_0_76,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_77,negated_conjecture,
aElementOf0(esk35_0,esk34_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_75]) ).
cnf(c_0_78,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_79,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_76]) ).
cnf(c_0_82,negated_conjecture,
aElementOf0(esk35_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(spm,[status(thm)],[c_0_58,c_0_77]) ).
cnf(c_0_83,negated_conjecture,
aSet0(sdtlpdtrp0(xN,esk33_0)),
inference(spm,[status(thm)],[c_0_78,c_0_20]) ).
cnf(c_0_84,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_79])]) ).
cnf(c_0_85,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_80]) ).
cnf(c_0_86,negated_conjecture,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,esk33_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_69]),c_0_70])]) ).
cnf(c_0_87,negated_conjecture,
aElementOf0(esk35_0,sdtlpdtrp0(xN,esk33_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_44]),c_0_83])]) ).
cnf(c_0_88,plain,
( ~ aSubsetOf0(X1,sdtmndt0(X2,X3))
| ~ aElementOf0(X3,X1)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_62]),c_0_85]) ).
cnf(c_0_89,negated_conjecture,
aSubsetOf0(esk34_0,sdtmndt0(sdtlpdtrp0(xN,esk33_0),szmzizndt0(sdtlpdtrp0(xN,esk33_0)))),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_90,negated_conjecture,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0)
| ~ aElementOf0(esk35_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_41]),c_0_34]),c_0_42]),c_0_43]),c_0_44]),c_0_36])]) ).
cnf(c_0_91,negated_conjecture,
aElementOf0(esk35_0,xS),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk33_0)),esk34_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_44]),c_0_83])]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM579+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
% 0.17/0.34 % Computer : n029.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Fri Aug 25 14:22:24 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 9.30/9.50 % Version : CSE_E---1.5
% 9.30/9.50 % Problem : theBenchmark.p
% 9.30/9.50 % Proof found
% 9.30/9.50 % SZS status Theorem for theBenchmark.p
% 9.30/9.50 % SZS output start Proof
% See solution above
% 9.30/9.52 % Total time : 8.911000 s
% 9.30/9.52 % SZS output end Proof
% 9.30/9.52 % Total time : 8.919000 s
%------------------------------------------------------------------------------