%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM620+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 : 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 12:28:41 PM UTC 2025
% Result : Theorem 24.63s 3.46s
% Output : CNFRefutation 24.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 32 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 24 ( 7 ~; 4 |; 7 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
=> aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(432,plain,
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| aElementOf0(X0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,xm))
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(instantiation,[status(thm)],[432]) ).
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/sandbox/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(l1,plain,
( ~ aElementOf0(xm,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xm),sdtlpdtrp0(xN,xm)) ),
inference(instantiation,[status(thm)],[343]) ).
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(l47,plain,
aElementOf0(xm,szNzAzT0),
inference(instantiation,[status(thm)],[429]) ).
cnf(430,plain,
xx = sdtlpdtrp0(xe,xm),
inference(cnf,[status(esa)],[m__5389]) ).
cnf(l11,plain,
xx = sdtlpdtrp0(xe,xm),
inference(instantiation,[status(thm)],[430]) ).
cnf(434,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l3,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(instantiation,[status(thm)],[434]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l47,l11,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUM620+3 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 13:14:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 2
% 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: 7
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.37 % launching worker at depth: 9
% 0.20/0.48 % launching worker at depth: 10
% 24.63/3.46 % SZS status Theorem for theBenchmark
% 24.63/3.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------