%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM627+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 78.25s 10.17s
% Output : CNFRefutation 78.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 22 unt; 0 def)
% Number of atoms : 96 ( 14 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 85 ( 29 ~; 28 |; 17 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(438,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(instantiation,[status(thm)],[438]) ).
fof(m__3754,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
cnf(225,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X1,X0)
| aElementOf0(X2,sdtlpdtrp0(xN,X1)) ),
inference(cnf,[status(esa)],[m__3754]) ).
cnf(l1,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ~ sdtlseqdt0(szszuzczcdt0(xn),xm)
| aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(instantiation,[status(thm)],[225]) ).
fof(mSuccNum,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
cnf(46,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf,[status(esa)],[mSuccNum]) ).
cnf(l10,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(instantiation,[status(thm)],[46]) ).
fof(m__5389,plain,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
cnf(430,plain,
xx = sdtlpdtrp0(xe,xm),
inference(cnf,[status(esa)],[m__5389]) ).
cnf(l47,plain,
xx = sdtlpdtrp0(xe,xm),
inference(instantiation,[status(thm)],[430]) ).
fof(m__4660,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
cnf(343,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
inference(cnf,[status(esa)],[m__4660]) ).
cnf(l41,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[343]) ).
fof(m__4730,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSet0(W1)
& ( ( ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
| aSubsetOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0))) )
& sbrdtbr0(W1) = xk )
| aElementOf0(W1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),xk)) ) )
=> sdtlpdtrp0(xd,W0) = sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
cnf(347,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf,[status(esa)],[m__4730]) ).
cnf(l35,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(instantiation,[status(thm)],[347]) ).
cnf(429,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf,[status(esa)],[m__5389]) ).
cnf(l44,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[429]) ).
cnf(l2,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[429]) ).
fof(m__5309,plain,
( 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/sandbox2/benchmark/theBenchmark.p',m__5309) ).
cnf(416,plain,
aElementOf0(xn,szDzozmdt0(xd)),
inference(cnf,[status(esa)],[m__5309]) ).
cnf(l38,plain,
aElementOf0(xn,szDzozmdt0(xd)),
inference(instantiation,[status(thm)],[416]) ).
fof(mLessTotal,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
cnf(60,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ),
inference(cnf,[status(esa)],[mLessTotal]) ).
cnf(l12,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| sdtlseqdt0(xm,xn)
| sdtlseqdt0(szszuzczcdt0(xn),xm) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l40,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(instantiation,[status(thm)],[347]) ).
cnf(226,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(X1,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ),
inference(cnf,[status(esa)],[m__3754]) ).
cnf(l14,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(xm,xn)
| aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[226]) ).
fof(m__5461,plain,
~ ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xn))
=> aElementOf0(W0,sdtlpdtrp0(xN,xm)) )
| aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).
cnf(437,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnf,[status(esa)],[m__5461]) ).
cnf(l60,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(instantiation,[status(thm)],[437]) ).
cnf(l18,plain,
aElementOf0(xn,szDzozmdt0(xd)),
inference(instantiation,[status(thm)],[416]) ).
cnf(l53,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[429]) ).
cnf(l58,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[429]) ).
cnf(419,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf,[status(esa)],[m__5309]) ).
cnf(l113,plain,
aElementOf0(xn,szNzAzT0),
inference(instantiation,[status(thm)],[419]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l10,l47,l41,l35,l44,l2,l38,l12,l40,l14,l60,l18,l53,l58,l113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM627+3 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n020.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Jul 21 13:17:49 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.15/0.32 % launching worker at depth: 1
% 0.15/0.32 % launching worker at depth: 2
% 0.15/0.32 % launching worker at depth: 3
% 0.15/0.32 % launching worker at depth: 4
% 0.15/0.32 % launching worker at depth: 5
% 0.15/0.32 % launching worker at depth: 6
% 0.15/0.32 % launching worker at depth: 7
% 0.15/0.32 % launching worker at depth: 8
% 0.15/0.32 % launching worker at depth: 9
% 0.15/0.34 % launching worker at depth: 10
% 3.17/0.70 % launching worker at depth: 11
% 78.25/10.17 % SZS status Theorem for theBenchmark
% 78.25/10.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------