%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM588+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 : Tue May 5 04:57:56 PM UTC 2026
% Result : Theorem 1.40s 1.76s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 81 ( 12 unt; 0 def)
% Number of atoms : 407 ( 86 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 548 ( 222 ~; 229 |; 64 &)
% ( 8 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-3 aty)
% Number of variables : 139 ( 0 sgn 75 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(mDefRst,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtexdt0(X1,X2)
<=> ( aFunction0(X3)
& szDzozmdt0(X3) = X2
& ! [X4] :
( aElementOf0(X4,X2)
=> sdtlpdtrp0(X3,X4) = sdtlpdtrp0(X1,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefRst) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
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(mDefMin,axiom,
! [X1] :
( ( aSubsetOf0(X1,szNzAzT0)
& X1 != slcrc0 )
=> ! [X2] :
( X2 = szmzizndt0(X1)
<=> ( aElementOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(m__4151,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
& ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(mDefEmp,axiom,
! [X1] :
( X1 = slcrc0
<=> ( aSet0(X1)
& ~ ? [X2] : aElementOf0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(mCountNFin_01,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> X1 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(c_0_15,plain,
! [X271,X272,X273,X274,X275,X276] :
( ( aSet0(X273)
| X273 != slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,szNzAzT0) )
& ( aSubsetOf0(X274,X271)
| ~ aElementOf0(X274,X273)
| X273 != slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,szNzAzT0) )
& ( sbrdtbr0(X274) = X272
| ~ aElementOf0(X274,X273)
| X273 != slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,szNzAzT0) )
& ( ~ aSubsetOf0(X275,X271)
| sbrdtbr0(X275) != X272
| aElementOf0(X275,X273)
| X273 != slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X271,X272,X276),X276)
| ~ aSubsetOf0(esk11_3(X271,X272,X276),X271)
| sbrdtbr0(esk11_3(X271,X272,X276)) != X272
| ~ aSet0(X276)
| X276 = slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X271,X272,X276),X271)
| aElementOf0(esk11_3(X271,X272,X276),X276)
| ~ aSet0(X276)
| X276 = slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X271,X272,X276)) = X272
| aElementOf0(esk11_3(X271,X272,X276),X276)
| ~ aSet0(X276)
| X276 = slbdtsldtrb0(X271,X272)
| ~ aSet0(X271)
| ~ aElementOf0(X272,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)],[mDefSel])])])])])]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,plain,
! [X184,X185,X186] :
( ~ aSet0(X184)
| ~ aSet0(X185)
| ~ aSet0(X186)
| ~ aSubsetOf0(X184,X185)
| ~ aSubsetOf0(X185,X186)
| aSubsetOf0(X184,X186) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(c_0_18,plain,
! [X174,X175,X176,X177] :
( ( aSet0(X175)
| ~ aSubsetOf0(X175,X174)
| ~ aSet0(X174) )
& ( ~ aElementOf0(X176,X175)
| aElementOf0(X176,X174)
| ~ aSubsetOf0(X175,X174)
| ~ aSet0(X174) )
& ( aElementOf0(esk2_2(X174,X177),X177)
| ~ aSet0(X177)
| aSubsetOf0(X177,X174)
| ~ aSet0(X174) )
& ( ~ aElementOf0(esk2_2(X174,X177),X174)
| ~ aSet0(X177)
| aSubsetOf0(X177,X174)
| ~ aSet0(X174) ) ),
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,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X4,X2)
| ~ aSet0(X4)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,negated_conjecture,
( aElementOf0(esk22_0,szNzAzT0)
& aSubsetOf0(esk23_0,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
& isCountable0(esk23_0)
& aSet0(esk24_0)
& aElementOf0(esk24_0,slbdtsldtrb0(esk23_0,xk))
& ~ aElementOf0(esk24_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))),xk)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
cnf(c_0_21,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_22,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( aElementOf0(X1,X4)
| ~ aSubsetOf0(X1,X2)
| sbrdtbr0(X1) != X3
| X4 != slbdtsldtrb0(X2,X3)
| ~ aSet0(X2)
| ~ aElementOf0(X3,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( sbrdtbr0(X1) = X2
| ~ aElementOf0(X1,slbdtsldtrb0(X3,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
aElementOf0(esk24_0,slbdtsldtrb0(esk23_0,xk)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_27,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_21,c_0_22]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
aSubsetOf0(esk23_0,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != slbdtsldtrb0(X2,X4)
| ~ aSet0(X2)
| ~ aElementOf0(X4,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_30,plain,
! [X316,X317,X318,X319,X320] :
( ( aFunction0(X318)
| X318 != sdtexdt0(X316,X317)
| ~ aSubsetOf0(X317,szDzozmdt0(X316))
| ~ aFunction0(X316) )
& ( szDzozmdt0(X318) = X317
| X318 != sdtexdt0(X316,X317)
| ~ aSubsetOf0(X317,szDzozmdt0(X316))
| ~ aFunction0(X316) )
& ( ~ aElementOf0(X319,X317)
| sdtlpdtrp0(X318,X319) = sdtlpdtrp0(X316,X319)
| X318 != sdtexdt0(X316,X317)
| ~ aSubsetOf0(X317,szDzozmdt0(X316))
| ~ aFunction0(X316) )
& ( aElementOf0(esk17_3(X316,X317,X320),X317)
| ~ aFunction0(X320)
| szDzozmdt0(X320) != X317
| X320 = sdtexdt0(X316,X317)
| ~ aSubsetOf0(X317,szDzozmdt0(X316))
| ~ aFunction0(X316) )
& ( sdtlpdtrp0(X320,esk17_3(X316,X317,X320)) != sdtlpdtrp0(X316,esk17_3(X316,X317,X320))
| ~ aFunction0(X320)
| szDzozmdt0(X320) != X317
| X320 = sdtexdt0(X316,X317)
| ~ aSubsetOf0(X317,szDzozmdt0(X316))
| ~ aFunction0(X316) ) ),
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)],[mDefRst])])])])])]) ).
cnf(c_0_31,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,sbrdtbr0(X1)))
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(sbrdtbr0(X1),szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_23])]) ).
cnf(c_0_32,negated_conjecture,
( sbrdtbr0(esk24_0) = xk
| ~ aSet0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_33,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSubsetOf0(X1,esk23_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( aSubsetOf0(X1,X2)
| ~ aElementOf0(X1,slbdtsldtrb0(X2,X3))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_29]) ).
fof(c_0_35,plain,
! [X291] :
( ~ aFunction0(X291)
| aSet0(szDzozmdt0(X291)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_36,plain,
( szDzozmdt0(X1) = X2
| X1 != sdtexdt0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( aFunction0(X1)
| X1 != sdtexdt0(X2,X3)
| ~ aSubsetOf0(X3,szDzozmdt0(X2))
| ~ aFunction0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
~ aElementOf0(esk24_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))),xk)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( aElementOf0(esk24_0,slbdtsldtrb0(X1,xk))
| ~ aSubsetOf0(esk24_0,X1)
| ~ aSet0(esk23_0)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_26])]) ).
cnf(c_0_40,negated_conjecture,
( aSet0(esk23_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSubsetOf0(X2,esk23_0)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( aSubsetOf0(esk24_0,esk23_0)
| ~ aSet0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_26])]) ).
fof(c_0_43,plain,
! [X194,X195,X196,X197,X198,X199] :
( ( aSet0(X196)
| X196 != sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( aElement0(X197)
| ~ aElementOf0(X197,X196)
| X196 != sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( aElementOf0(X197,X194)
| ~ aElementOf0(X197,X196)
| X196 != sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( X197 != X195
| ~ aElementOf0(X197,X196)
| X196 != sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( ~ aElement0(X198)
| ~ aElementOf0(X198,X194)
| X198 = X195
| aElementOf0(X198,X196)
| X196 != sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( ~ aElementOf0(esk4_3(X194,X195,X199),X199)
| ~ aElement0(esk4_3(X194,X195,X199))
| ~ aElementOf0(esk4_3(X194,X195,X199),X194)
| esk4_3(X194,X195,X199) = X195
| ~ aSet0(X199)
| X199 = sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( aElement0(esk4_3(X194,X195,X199))
| aElementOf0(esk4_3(X194,X195,X199),X199)
| ~ aSet0(X199)
| X199 = sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( aElementOf0(esk4_3(X194,X195,X199),X194)
| aElementOf0(esk4_3(X194,X195,X199),X199)
| ~ aSet0(X199)
| X199 = sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) )
& ( esk4_3(X194,X195,X199) != X195
| aElementOf0(esk4_3(X194,X195,X199),X199)
| ~ aSet0(X199)
| X199 = sdtmndt0(X194,X195)
| ~ aSet0(X194)
| ~ aElement0(X195) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefDiff])])])])])]) ).
fof(c_0_44,plain,
! [X245,X246,X247,X248] :
( ( aElementOf0(X246,X245)
| X246 != szmzizndt0(X245)
| ~ aSubsetOf0(X245,szNzAzT0)
| X245 = slcrc0 )
& ( ~ aElementOf0(X247,X245)
| sdtlseqdt0(X246,X247)
| X246 != szmzizndt0(X245)
| ~ aSubsetOf0(X245,szNzAzT0)
| X245 = slcrc0 )
& ( aElementOf0(esk7_2(X245,X248),X245)
| ~ aElementOf0(X248,X245)
| X248 = szmzizndt0(X245)
| ~ aSubsetOf0(X245,szNzAzT0)
| X245 = slcrc0 )
& ( ~ sdtlseqdt0(X248,esk7_2(X245,X248))
| ~ aElementOf0(X248,X245)
| X248 = szmzizndt0(X245)
| ~ aSubsetOf0(X245,szNzAzT0)
| X245 = slcrc0 ) ),
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)],[mDefMin])])])])])]) ).
cnf(c_0_45,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,plain,
( szDzozmdt0(sdtexdt0(X1,X2)) = X2
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_36]) ).
cnf(c_0_47,plain,
( aFunction0(sdtexdt0(X1,X2))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X2,szDzozmdt0(X1)) ),
inference(er,[status(thm)],[c_0_37]) ).
fof(c_0_48,hypothesis,
! [X341,X342] :
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ( aFunction0(sdtlpdtrp0(xC,X341))
| ~ aElementOf0(X341,szNzAzT0) )
& ( szDzozmdt0(sdtlpdtrp0(xC,X341)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X341),szmzizndt0(sdtlpdtrp0(xN,X341))),xk)
| ~ aElementOf0(X341,szNzAzT0) )
& ( ~ aSet0(X342)
| ~ aElementOf0(X342,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X341),szmzizndt0(sdtlpdtrp0(xN,X341))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X341),X342) = sdtlpdtrp0(xc,sdtpldt0(X342,szmzizndt0(sdtlpdtrp0(xN,X341))))
| ~ aElementOf0(X341,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4151])])])]) ).
cnf(c_0_49,negated_conjecture,
( ~ aSubsetOf0(esk24_0,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0))))
| ~ aSubsetOf0(X1,esk24_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_40]) ).
cnf(c_0_51,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_52,plain,
! [X166,X167] :
( ~ aSet0(X166)
| ~ aElementOf0(X167,X166)
| aElement0(X167) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_53,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_54,plain,
( aSet0(X1)
| ~ aFunction0(X2)
| ~ aSubsetOf0(X1,szDzozmdt0(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_55,hypothesis,
szDzozmdt0(xC) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,hypothesis,
aFunction0(xC),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( ~ aSubsetOf0(esk24_0,esk24_0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,esk22_0),szmzizndt0(sdtlpdtrp0(xN,esk22_0)))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_53]) ).
cnf(c_0_61,hypothesis,
( aSet0(X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_62,negated_conjecture,
( ~ aSubsetOf0(esk24_0,esk24_0)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,esk22_0)))
| ~ aSet0(sdtlpdtrp0(xN,esk22_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
( X1 = slcrc0
| aElement0(szmzizndt0(X1))
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
fof(c_0_64,plain,
! [X181] :
( ~ aSet0(X181)
| aSubsetOf0(X181,X181) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
fof(c_0_65,plain,
! [X168,X169,X170] :
( ( aSet0(X168)
| X168 != slcrc0 )
& ( ~ aElementOf0(X169,X168)
| X168 != slcrc0 )
& ( ~ aSet0(X170)
| aElementOf0(esk1_1(X170),X170)
| X170 = slcrc0 ) ),
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)],[mDefEmp])])])])])]) ).
cnf(c_0_66,negated_conjecture,
( sdtlpdtrp0(xN,esk22_0) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0)
| ~ aSubsetOf0(esk24_0,esk24_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_61]) ).
cnf(c_0_67,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,negated_conjecture,
aSet0(esk24_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_69,hypothesis,
! [X334] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X334),szNzAzT0)
| ~ aElementOf0(X334,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X334))
| ~ aElementOf0(X334,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(c_0_70,plain,
! [X173] :
( ~ aSet0(X173)
| ~ isCountable0(X173)
| X173 != slcrc0 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCountNFin_01])]) ).
cnf(c_0_71,plain,
( aSet0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,negated_conjecture,
( sdtlpdtrp0(xN,esk22_0) = slcrc0
| ~ aSubsetOf0(sdtlpdtrp0(xN,esk22_0),szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_73,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,negated_conjecture,
aElementOf0(esk22_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_75,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| X1 != slcrc0 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,plain,
aSet0(slcrc0),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_77,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,hypothesis,
sdtlpdtrp0(xN,esk22_0) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_79,plain,
~ isCountable0(slcrc0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_75]),c_0_76])]) ).
cnf(c_0_80,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_74])]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM588+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n011.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:46:47 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.40/1.76 % Version : CSE_E---1.7
% 1.40/1.76 % Problem : theBenchmark.p
% 1.40/1.76 % SZS status Theorem for theBenchmark.p
% 1.40/1.76 % SZS output start CNFRefutation
% See solution above
% 1.40/1.77 % Total time : 1.372s
%------------------------------------------------------------------------------