%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM622+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 : n023.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 04:58:04 PM UTC 2026
% Result : Theorem 3.77s 3.14s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 79 ( 22 unt; 0 def)
% Number of atoms : 304 ( 45 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 374 ( 149 ~; 154 |; 48 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(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(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(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__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(mSubFSet,axiom,
! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> ! [X2] :
( aSubsetOf0(X2,X1)
=> isFinite0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__5461,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).
fof(m__5389,hypothesis,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
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(mCountNFin,axiom,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
fof(mFDiffSet,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( ( aSet0(X2)
& isFinite0(X2) )
=> isFinite0(sdtmndt0(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5182) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
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(m__,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mEmpFin,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(c_0_19,hypothesis,
! [X345] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X345)),sdtmndt0(sdtlpdtrp0(xN,X345),szmzizndt0(sdtlpdtrp0(xN,X345))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X345),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X345))
| ~ aElementOf0(X345,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X345)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X345),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X345))
| ~ aElementOf0(X345,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3623])])])]) ).
fof(c_0_20,hypothesis,
! [X346] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X346),szNzAzT0)
| ~ aElementOf0(X346,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X346))
| ~ aElementOf0(X346,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(c_0_21,plain,
! [X196,X197,X198] :
( ~ aSet0(X196)
| ~ aSet0(X197)
| ~ aSet0(X198)
| ~ aSubsetOf0(X196,X197)
| ~ aSubsetOf0(X197,X198)
| aSubsetOf0(X196,X198) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])]) ).
fof(c_0_22,plain,
! [X186,X187,X188,X189] :
( ( aSet0(X187)
| ~ aSubsetOf0(X187,X186)
| ~ aSet0(X186) )
& ( ~ aElementOf0(X188,X187)
| aElementOf0(X188,X186)
| ~ aSubsetOf0(X187,X186)
| ~ aSet0(X186) )
& ( aElementOf0(esk2_2(X186,X189),X189)
| ~ aSet0(X189)
| aSubsetOf0(X189,X186)
| ~ aSet0(X186) )
& ( ~ aElementOf0(esk2_2(X186,X189),X186)
| ~ aSet0(X189)
| aSubsetOf0(X189,X186)
| ~ aSet0(X186) ) ),
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_23,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,hypothesis,
! [X366] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X366,szNzAzT0)
| sdtlpdtrp0(xe,X366) = szmzizndt0(sdtlpdtrp0(xN,X366)) ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])]) ).
cnf(c_0_27,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).
cnf(c_0_32,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
fof(c_0_33,plain,
! [X191,X192] :
( ~ aSet0(X191)
| ~ isFinite0(X191)
| ~ aSubsetOf0(X192,X191)
| isFinite0(X192) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubFSet])])]) ).
cnf(c_0_34,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),sdtlpdtrp0(xe,X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_36,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
fof(c_0_37,plain,
! [X178,X179] :
( ~ aSet0(X178)
| ~ aElementOf0(X179,X178)
| aElement0(X179) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_38,hypothesis,
( aSubsetOf0(X1,szNzAzT0)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_25]),c_0_32])]) ).
cnf(c_0_39,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[m__5461]) ).
cnf(c_0_40,hypothesis,
aElementOf0(xm,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5389]) ).
fof(c_0_41,plain,
! [X257,X258,X259,X260] :
( ( aElementOf0(X258,X257)
| X258 != szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = slcrc0 )
& ( ~ aElementOf0(X259,X257)
| sdtlseqdt0(X258,X259)
| X258 != szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = slcrc0 )
& ( aElementOf0(esk7_2(X257,X260),X257)
| ~ aElementOf0(X260,X257)
| X260 = szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = slcrc0 )
& ( ~ sdtlseqdt0(X260,esk7_2(X257,X260))
| ~ aElementOf0(X260,X257)
| X260 = szmzizndt0(X257)
| ~ aSubsetOf0(X257,szNzAzT0)
| X257 = 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])])])])])]) ).
fof(c_0_42,plain,
! [X1] :
( ( aSet0(X1)
& isCountable0(X1) )
=> ~ isFinite0(X1) ),
inference(fof_simplification,[status(thm)],[mCountNFin]) ).
cnf(c_0_43,plain,
( isFinite0(X2)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),sdtmndt0(sdtlpdtrp0(xN,xn),xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
fof(c_0_45,plain,
! [X223,X224] :
( ~ aElement0(X223)
| ~ aSet0(X224)
| ~ isFinite0(X224)
| isFinite0(sdtmndt0(X224,X223)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mFDiffSet])])]) ).
cnf(c_0_46,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,hypothesis,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[m__5182]) ).
cnf(c_0_48,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_49,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
fof(c_0_50,plain,
! [X206,X207,X208,X209,X210,X211] :
( ( aSet0(X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElement0(X209)
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElementOf0(X209,X206)
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( X209 != X207
| ~ aElementOf0(X209,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( ~ aElement0(X210)
| ~ aElementOf0(X210,X206)
| X210 = X207
| aElementOf0(X210,X208)
| X208 != sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( ~ aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aElement0(esk4_3(X206,X207,X211))
| ~ aElementOf0(esk4_3(X206,X207,X211),X206)
| esk4_3(X206,X207,X211) = X207
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElement0(esk4_3(X206,X207,X211))
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( aElementOf0(esk4_3(X206,X207,X211),X206)
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) )
& ( esk4_3(X206,X207,X211) != X207
| aElementOf0(esk4_3(X206,X207,X211),X211)
| ~ aSet0(X211)
| X211 = sdtmndt0(X206,X207)
| ~ aSet0(X206)
| ~ aElement0(X207) ) ),
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_51,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52,plain,
( aElementOf0(X1,X2)
| X2 = slcrc0
| X1 != szmzizndt0(X2)
| ~ aSubsetOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_53,plain,
! [X184] :
( ~ aSet0(X184)
| ~ isCountable0(X184)
| ~ isFinite0(X184) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])]) ).
cnf(c_0_54,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_55,hypothesis,
( isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ isFinite0(sdtmndt0(sdtlpdtrp0(xN,xn),xp))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),xp)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_56,plain,
( isFinite0(sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ isFinite0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_58,hypothesis,
aSet0(sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_49]),c_0_32])]) ).
cnf(c_0_59,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_60,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(spm,[status(thm)],[c_0_51,c_0_39]) ).
cnf(c_0_61,plain,
( X1 = slcrc0
| aElementOf0(szmzizndt0(X1),X1)
| ~ aSubsetOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_52]) ).
fof(c_0_62,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_63,plain,
( ~ aSet0(X1)
| ~ isCountable0(X1)
| ~ isFinite0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,hypothesis,
( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_54,c_0_24]),c_0_25]) ).
cnf(c_0_65,hypothesis,
( isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ isFinite0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_66,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_59]) ).
cnf(c_0_67,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),xp)) ),
inference(spm,[status(thm)],[c_0_28,c_0_44]) ).
cnf(c_0_68,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_49])]) ).
cnf(c_0_69,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,hypothesis,
( ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,hypothesis,
( isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ isFinite0(sdtlpdtrp0(xN,xn)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_57]),c_0_58])]) ).
cnf(c_0_72,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_57]),c_0_58])]) ).
cnf(c_0_73,hypothesis,
( sdtlpdtrp0(xN,xn) = slcrc0
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_30]),c_0_35]),c_0_36])]),c_0_69]) ).
cnf(c_0_74,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_32])]) ).
cnf(c_0_75,hypothesis,
~ isFinite0(sdtlpdtrp0(xN,xn)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_36]),c_0_72])]) ).
cnf(c_0_76,hypothesis,
sdtlpdtrp0(xN,xn) = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_40])]) ).
cnf(c_0_77,plain,
isFinite0(slcrc0),
inference(split_conjunct,[status(thm)],[mEmpFin]) ).
cnf(c_0_78,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM622+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n023.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 00:52:10 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 3.77/3.14 % Version : CSE_E---1.7
% 3.77/3.14 % Problem : theBenchmark.p
% 3.77/3.14 % SZS status Theorem for theBenchmark.p
% 3.77/3.14 % SZS output start CNFRefutation
% See solution above
% 3.77/3.15 % Total time : 2.375s
%------------------------------------------------------------------------------