%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM629+3 : 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 : n002.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 04:58:12 PM UTC 2026
% Result : Theorem 9.05s 5.89s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 285 ( 19 equ)
% Maximal formula atoms : 181 ( 11 avg)
% Number of connectives : 425 ( 164 ~; 173 |; 75 &)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(m__,conjecture,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xD) )
| aSubsetOf0(xP,xD)
| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__5585,hypothesis,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
& aSet0(xD)
& ! [X1] :
( aElementOf0(X1,xD)
<=> ( aElement0(X1)
& aElementOf0(X1,sdtlpdtrp0(xN,xn))
& X1 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5585) ).
fof(m__5334,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5334) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(c_0_6,hypothesis,
! [X450,X452,X453,X454,X455] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X450)),sdtlpdtrp0(xN,X450))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElementOf0(X452,sdtlpdtrp0(xN,X450))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X450)),X452)
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElement0(X453)
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElementOf0(X453,sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( X453 != szmzizndt0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElement0(X454)
| ~ aElementOf0(X454,sdtlpdtrp0(xN,X450))
| X454 = szmzizndt0(sdtlpdtrp0(xN,X450))
| aElementOf0(X454,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElementOf0(X455,sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| aElementOf0(X455,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X450)),sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| aElementOf0(esk31_1(X450),sdtlpdtrp0(xN,X450))
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X450)),sdtlpdtrp0(xN,X450))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElementOf0(X452,sdtlpdtrp0(xN,X450))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X450)),X452)
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElement0(X453)
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElementOf0(X453,sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( X453 != szmzizndt0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElement0(X454)
| ~ aElementOf0(X454,sdtlpdtrp0(xN,X450))
| X454 = szmzizndt0(sdtlpdtrp0(xN,X450))
| aElementOf0(X454,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElementOf0(X455,sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| aElementOf0(X455,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X450)),sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| ~ aElementOf0(esk31_1(X450),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X450))
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X450)),sdtlpdtrp0(xN,X450))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElementOf0(X452,sdtlpdtrp0(xN,X450))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X450)),X452)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElement0(X453)
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aElementOf0(X453,sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( X453 != szmzizndt0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X453,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElement0(X454)
| ~ aElementOf0(X454,sdtlpdtrp0(xN,X450))
| X454 = szmzizndt0(sdtlpdtrp0(xN,X450))
| aElementOf0(X454,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( ~ aElementOf0(X455,sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| aElementOf0(X455,sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X450)),sdtmndt0(sdtlpdtrp0(xN,X450),szmzizndt0(sdtlpdtrp0(xN,X450))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X450)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X450),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X450))
| ~ aElementOf0(X450,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_7,hypothesis,
! [X456,X457] :
( ( aSet0(sdtlpdtrp0(xN,X456))
| ~ aElementOf0(X456,szNzAzT0) )
& ( ~ aElementOf0(X457,sdtlpdtrp0(xN,X456))
| aElementOf0(X457,szNzAzT0)
| ~ aElementOf0(X456,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,X456),szNzAzT0)
| ~ aElementOf0(X456,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X456))
| ~ aElementOf0(X456,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_8,negated_conjecture,
~ ( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,xD) )
| aSubsetOf0(xP,xD)
| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_9,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_12,hypothesis,
! [X512,X513] :
( ( ~ aElementOf0(X512,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X512) )
& aSet0(xD)
& ( aElement0(X513)
| ~ aElementOf0(X513,xD) )
& ( aElementOf0(X513,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X513,xD) )
& ( X513 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X513,xD) )
& ( ~ aElement0(X513)
| ~ aElementOf0(X513,sdtlpdtrp0(xN,xn))
| X513 = szmzizndt0(sdtlpdtrp0(xN,xn))
| aElementOf0(X513,xD) )
& xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5585])])])]) ).
fof(c_0_13,hypothesis,
! [X511] :
( ( ~ aElementOf0(X511,xP)
| aElementOf0(X511,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5334])])]) ).
fof(c_0_14,negated_conjecture,
( aElementOf0(esk42_0,xP)
& ~ aElementOf0(esk42_0,xD)
& ~ aSubsetOf0(xP,xD)
& ~ aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_15,hypothesis,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aElementOf0(X2,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_17,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,hypothesis,
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
aElementOf0(esk42_0,xP),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,hypothesis,
( aElementOf0(X1,xD)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
cnf(c_0_21,negated_conjecture,
aElementOf0(esk42_0,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
~ aElementOf0(esk42_0,xD),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM629+3 : 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
% 0.15/0.33 % Computer : n002.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 00:52:31 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 9.05/5.89 % Version : CSE_E---1.7
% 9.05/5.89 % Problem : theBenchmark.p
% 9.05/5.89 % SZS status Theorem for theBenchmark.p
% 9.05/5.89 % SZS output start CNFRefutation
% See solution above
% 9.14/5.91 % Total time : 4.771s
%------------------------------------------------------------------------------