%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM624+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 : Fri Jul 25 12:28:42 PM UTC 2025
% Result : Theorem 2.21s 0.63s
% Output : CNFRefutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 30 unt; 0 def)
% Number of atoms : 89 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 78 ( 33 ~; 26 |; 11 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
xp != xx,
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(237,plain,
xp != xx,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xp != xx,
inference(instantiation,[status(thm)],[237]) ).
fof(mLessASymm,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
cnf(58,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mLessASymm]) ).
cnf(l1,plain,
( ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0)
| ~ sdtlseqdt0(xp,xx)
| ~ sdtlseqdt0(xx,xp)
| xp = xx ),
inference(instantiation,[status(thm)],[58]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l2,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| aElementOf0(xp,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
fof(mDefMin,plain,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& W0 != slcrc0 )
=> ! [W1] :
( W1 = szmzizndt0(W0)
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
cnf(73,plain,
( X0 != szmzizndt0(X1)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| X1 = slcrc0
| sdtlseqdt0(X0,X2) ),
inference(cnf,[status(esa)],[mDefMin]) ).
cnf(l28,plain,
( xx != szmzizndt0(sdtlpdtrp0(xN,xm))
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| sdtlpdtrp0(xN,xm) = slcrc0
| sdtlseqdt0(xx,xp) ),
inference(instantiation,[status(thm)],[73]) ).
fof(m__5518,plain,
( aSubsetOf0(xQ,szNzAzT0)
& aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
& xQ != slcrc0
& sdtlpdtrp0(xN,xm) != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5518) ).
cnf(234,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(cnf,[status(esa)],[m__5518]) ).
cnf(l11,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(instantiation,[status(thm)],[234]) ).
fof(mNATSet,plain,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(43,plain,
aSet0(szNzAzT0),
inference(cnf,[status(esa)],[mNATSet]) ).
cnf(l17,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
fof(m__5481,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
cnf(231,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf,[status(esa)],[m__5481]) ).
cnf(l4,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[231]) ).
cnf(l6,plain,
( xp != szmzizndt0(xQ)
| ~ aElementOf0(xx,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0)
| xQ = slcrc0
| sdtlseqdt0(xp,xx) ),
inference(instantiation,[status(thm)],[73]) ).
fof(m__5401,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
cnf(228,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf,[status(esa)],[m__5401]) ).
cnf(l36,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[228]) ).
cnf(l33,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(instantiation,[status(thm)],[234]) ).
cnf(l29,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[231]) ).
cnf(232,plain,
aElementOf0(xx,xQ),
inference(cnf,[status(esa)],[m__5481]) ).
cnf(l8,plain,
aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[232]) ).
fof(m__5147,plain,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(210,plain,
xp = szmzizndt0(xQ),
inference(cnf,[status(esa)],[m__5147]) ).
cnf(l15,plain,
xp = szmzizndt0(xQ),
inference(instantiation,[status(thm)],[210]) ).
fof(m__5106,plain,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
cnf(208,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf,[status(esa)],[m__5106]) ).
cnf(l12,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[208]) ).
fof(m__5365,plain,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
cnf(224,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf,[status(esa)],[m__5365]) ).
cnf(l3,plain,
aElementOf0(xx,szNzAzT0),
inference(instantiation,[status(thm)],[224]) ).
cnf(235,plain,
xQ != slcrc0,
inference(cnf,[status(esa)],[m__5518]) ).
cnf(l13,plain,
xQ != slcrc0,
inference(instantiation,[status(thm)],[235]) ).
cnf(236,plain,
sdtlpdtrp0(xN,xm) != slcrc0,
inference(cnf,[status(esa)],[m__5518]) ).
cnf(l39,plain,
sdtlpdtrp0(xN,xm) != slcrc0,
inference(instantiation,[status(thm)],[236]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l28,l11,l17,l4,l6,l36,l33,l29,l8,l15,l12,l3,l13,l39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM624+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 13:16:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 2.21/0.63 % SZS status Theorem for theBenchmark
% 2.21/0.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------