%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM623+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 : n021.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 57.86s 7.66s
% Output : CNFRefutation 57.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 52 ( 30 unt; 0 def)
% Number of atoms : 107 ( 28 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 96 ( 41 ~; 34 |; 11 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 22 ( 1 sgn 10 !; 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(233,plain,
xp != xx,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xp != xx,
inference(instantiation,[status(thm)],[233]) ).
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(l3,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xx,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0)
| aElementOf0(xx,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
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(l11,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
cnf(l2,plain,
( ~ aSet0(szNzAzT0)
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| aElementOf0(xp,szNzAzT0) ),
inference(instantiation,[status(thm)],[8]) ).
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(l33,plain,
xp = szmzizndt0(xQ),
inference(instantiation,[status(thm)],[210]) ).
fof(m__5481,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
cnf(232,plain,
aElementOf0(xx,xQ),
inference(cnf,[status(esa)],[m__5481]) ).
cnf(l5,plain,
aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[232]) ).
cnf(l22,plain,
aSet0(szNzAzT0),
inference(instantiation,[status(thm)],[43]) ).
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(l198,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__3671,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
cnf(170,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf,[status(esa)],[m__3671]) ).
cnf(l20,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[170]) ).
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(l206,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[228]) ).
cnf(l39,plain,
( szmzizndt0(xQ) != szmzizndt0(xQ)
| ~ aElementOf0(xx,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0)
| xQ = slcrc0
| sdtlseqdt0(szmzizndt0(xQ),xx) ),
inference(instantiation,[status(thm)],[73]) ).
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(l52,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[208]) ).
cnf(l46,plain,
aElementOf0(xx,xQ),
inference(instantiation,[status(thm)],[232]) ).
cnf(231,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf,[status(esa)],[m__5481]) ).
cnf(l211,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[231]) ).
cnf(l7,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(instantiation,[status(thm)],[208]) ).
fof(m__5389,plain,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5389) ).
cnf(226,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf,[status(esa)],[m__5389]) ).
cnf(l93,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[226]) ).
fof(m__5093,plain,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
cnf(207,plain,
xQ != slcrc0,
inference(cnf,[status(esa)],[m__5093]) ).
cnf(l73,plain,
xQ != slcrc0,
inference(instantiation,[status(thm)],[207]) ).
cnf(l204,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(instantiation,[status(thm)],[170]) ).
cnf(l215,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[226]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(2,plain,
( X0 != slcrc0
| ~ aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l293,plain,
( sdtlpdtrp0(xN,xm) != slcrc0
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l299,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[231]) ).
cnf(l4,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[231]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l11,l2,l33,l5,l22,l198,l20,l206,l39,l52,l46,l211,l7,l93,l73,l204,l215,l293,l299,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM623+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 13:15:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 2.24/0.62 % launching worker at depth: 11
% 57.86/7.66 % SZS status Theorem for theBenchmark
% 57.86/7.66 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------