%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM618+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 : n018.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 12:28:41 PM UTC 2025
% Result : Theorem 4.49s 0.92s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 41 ( 15 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 32 ( 7 ~; 6 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 5 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& xx = sdtlpdtrp0(xe,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& xx = sdtlpdtrp0(xe,W0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(429,plain,
( xx != sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( xx != sdtlpdtrp0(xe,sK56)
| ~ aElementOf0(sK56,szNzAzT0) ),
inference(instantiation,[status(thm)],[429]) ).
fof(m__5365,plain,
( aElementOf0(xx,szNzAzT0)
& ? [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W0) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
cnf(428,plain,
sdtlpdtrp0(xe,sK56) = xx,
inference(cnf,[status(esa)],[m__5365]) ).
cnf(l10,plain,
sdtlpdtrp0(xe,sK56) = xx,
inference(instantiation,[status(thm)],[428]) ).
fof(m__4891,plain,
( aSet0(xO)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) )
& ! [W0] :
( aElementOf0(W0,xO)
<=> ? [W1] :
( aElementOf0(W1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,W1) = W0 ) )
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
cnf(365,plain,
( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X0,szDzozmdt0(xd)) ),
inference(cnf,[status(esa)],[m__4891]) ).
cnf(l36,plain,
( ~ aElementOf0(sK56,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(sK56,szDzozmdt0(xd)) ),
inference(instantiation,[status(thm)],[365]) ).
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/sandbox/benchmark/theBenchmark.p',m__4730) ).
cnf(347,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(cnf,[status(esa)],[m__4730]) ).
cnf(l31,plain,
szDzozmdt0(xd) = szNzAzT0,
inference(instantiation,[status(thm)],[347]) ).
cnf(427,plain,
aElementOf0(sK56,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf,[status(esa)],[m__5365]) ).
cnf(l59,plain,
aElementOf0(sK56,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(instantiation,[status(thm)],[427]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l10,l36,l31,l59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM618+3 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 13:14:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.42 % launching worker at depth: 10
% 4.49/0.92 % SZS status Theorem for theBenchmark
% 4.49/0.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------