%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM623+3 : 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 : n027.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 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 23 unt; 0 def)
% Number of atoms : 106 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 35 ~; 29 |; 18 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 14 !; 1 ?)
% 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(439,plain,
xp != xx,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xp != xx,
inference(instantiation,[status(thm)],[439]) ).
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(m__3671,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
cnf(222,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
| aElementOf0(X1,szNzAzT0) ),
inference(cnf,[status(esa)],[m__3671]) ).
cnf(l2,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| aElementOf0(xp,szNzAzT0) ),
inference(instantiation,[status(thm)],[222]) ).
fof(m__5401,plain,
! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
cnf(431,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X0) ),
inference(cnf,[status(esa)],[m__5401]) ).
cnf(l29,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,xp) ),
inference(instantiation,[status(thm)],[431]) ).
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(l7,plain,
( xp != szmzizndt0(xQ)
| ~ aElementOf0(xx,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0)
| xQ = slcrc0
| sdtlseqdt0(xp,xx) ),
inference(instantiation,[status(thm)],[73]) ).
fof(m__5481,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
cnf(437,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf,[status(esa)],[m__5481]) ).
cnf(l34,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[437]) ).
fof(m__5147,plain,
( aElementOf0(xp,xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(399,plain,
xp = szmzizndt0(xQ),
inference(cnf,[status(esa)],[m__5147]) ).
cnf(l9,plain,
xp = szmzizndt0(xQ),
inference(instantiation,[status(thm)],[399]) ).
cnf(l5,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[437]) ).
fof(m__5106,plain,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
cnf(391,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf,[status(esa)],[m__5106]) ).
cnf(l26,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[391]) ).
fof(m__5348,plain,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
cnf(423,plain,
aElementOf0(xx,xQ),
inference(cnf,[status(esa)],[m__5348]) ).
cnf(l13,plain,
aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[423]) ).
fof(m__5389,plain,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
cnf(429,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf,[status(esa)],[m__5389]) ).
cnf(l17,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[429]) ).
fof(m__5093,plain,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& ~ ( ~ ? [W0] : aElementOf0(W0,xQ)
| xQ = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
cnf(389,plain,
xQ != slcrc0,
inference(cnf,[status(esa)],[m__5093]) ).
cnf(l12,plain,
xQ != slcrc0,
inference(instantiation,[status(thm)],[389]) ).
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(l6,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xx,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0)
| aElementOf0(xx,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l19,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[391]) ).
cnf(438,plain,
aElementOf0(xx,xQ),
inference(cnf,[status(esa)],[m__5481]) ).
cnf(l16,plain,
aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[438]) ).
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(l20,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l29,l7,l34,l9,l5,l26,l13,l17,l12,l6,l19,l16,l20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM623+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.14 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Jul 21 13:15:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.37 % launching worker at depth: 9
% 0.13/0.39 % launching worker at depth: 10
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------