%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM571+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 04:57:52 PM UTC 2026
% Result : Theorem 2.77s 2.40s
% Output : CNFRefutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 264 ( 25 equ)
% Maximal formula atoms : 181 ( 14 avg)
% Number of connectives : 394 ( 148 ~; 164 |; 71 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 16 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__3702_02,hypothesis,
( xi != sz00
=> ( ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi )
& aSet0(sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3702_02) ).
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/sandbox2/benchmark/theBenchmark.p',m__3623) ).
fof(m__3435,hypothesis,
( aSet0(xS)
& ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(c_0_4,negated_conjecture,
~ ( ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xi))
=> aElementOf0(X1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_5,negated_conjecture,
( ( aElementOf0(esk33_0,sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& ( ~ aElementOf0(esk33_0,szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ isCountable0(sdtlpdtrp0(xN,xi)) )
& ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_6,hypothesis,
! [X377] :
( ( aElementOf0(esk32_0,szNzAzT0)
| xi = sz00 )
& ( szszuzczcdt0(esk32_0) = xi
| xi = sz00 )
& ( aSet0(sdtlpdtrp0(xN,xi))
| xi = sz00 )
& ( ~ aElementOf0(X377,sdtlpdtrp0(xN,xi))
| aElementOf0(X377,szNzAzT0)
| xi = sz00 )
& ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| xi = sz00 )
& ( isCountable0(sdtlpdtrp0(xN,xi))
| xi = sz00 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3702_02])])])])]) ).
fof(c_0_7,hypothesis,
! [X368,X370,X371,X372,X373] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X368)),sdtlpdtrp0(xN,X368))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElementOf0(X370,sdtlpdtrp0(xN,X368))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X368)),X370)
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElement0(X371)
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElementOf0(X371,sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( X371 != szmzizndt0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElement0(X372)
| ~ aElementOf0(X372,sdtlpdtrp0(xN,X368))
| X372 = szmzizndt0(sdtlpdtrp0(xN,X368))
| aElementOf0(X372,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElementOf0(X373,sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| aElementOf0(X373,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X368)),sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| aElementOf0(esk31_1(X368),sdtlpdtrp0(xN,X368))
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X368)),sdtlpdtrp0(xN,X368))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElementOf0(X370,sdtlpdtrp0(xN,X368))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X368)),X370)
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElement0(X371)
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElementOf0(X371,sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( X371 != szmzizndt0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElement0(X372)
| ~ aElementOf0(X372,sdtlpdtrp0(xN,X368))
| X372 = szmzizndt0(sdtlpdtrp0(xN,X368))
| aElementOf0(X372,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElementOf0(X373,sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| aElementOf0(X373,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X368)),sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| ~ aElementOf0(esk31_1(X368),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,X368))
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X368)),sdtlpdtrp0(xN,X368))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElementOf0(X370,sdtlpdtrp0(xN,X368))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X368)),X370)
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElement0(X371)
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aElementOf0(X371,sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( X371 != szmzizndt0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X371,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElement0(X372)
| ~ aElementOf0(X372,sdtlpdtrp0(xN,X368))
| X372 = szmzizndt0(sdtlpdtrp0(xN,X368))
| aElementOf0(X372,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( ~ aElementOf0(X373,sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| aElementOf0(X373,sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X368)),sdtmndt0(sdtlpdtrp0(xN,X368),szmzizndt0(sdtlpdtrp0(xN,X368))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X368)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X368),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X368))
| ~ aElementOf0(X368,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])])])])])]) ).
cnf(c_0_8,negated_conjecture,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( isCountable0(sdtlpdtrp0(xN,xi))
| xi = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| xi = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,hypothesis,
sz00 = xi,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
fof(c_0_13,hypothesis,
! [X340] :
( aSet0(xS)
& ( ~ aElementOf0(X340,xS)
| aElementOf0(X340,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_14,hypothesis,
sdtlpdtrp0(xN,xi) = xS,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,hypothesis,
isCountable0(xS),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_14]),c_0_15]),c_0_14]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : NUM571+3 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Tue May 5 00:46:01 EDT 2026
% 0.17/0.35 % CPUTime :
% 0.20/0.37 % start to proof: theBenchmark
% 2.77/2.40 % Version : CSE_E---1.7
% 2.77/2.40 % Problem : theBenchmark.p
% 2.77/2.40 % SZS status Theorem for theBenchmark.p
% 2.77/2.40 % SZS output start CNFRefutation
% See solution above
% 2.77/2.41 % Total time : 1.773s
%------------------------------------------------------------------------------