%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM590+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 : n029.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 12:28:35 PM UTC 2025
% Result : Theorem 6.00s 1.08s
% Output : CNFRefutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 40 ( 3 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 34 ( 10 ~; 8 |; 10 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0] :
( aElementOf0(W0,xY)
=> aElementOf0(W0,szNzAzT0) )
| aSubsetOf0(xY,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0] :
( aElementOf0(W0,xY)
=> aElementOf0(W0,szNzAzT0) )
| aSubsetOf0(xY,szNzAzT0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(331,plain,
aElementOf0(sK43,xY),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aElementOf0(sK43,xY),
inference(instantiation,[status(thm)],[331]) ).
fof(m__4448_02,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0) )
& aSet0(xY)
& ! [W0] :
( aElementOf0(W0,xY)
<=> ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xi))
& W0 != szmzizndt0(sdtlpdtrp0(xN,xi)) ) )
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))
& xd = sdtlpdtrp0(xC,xi) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448_02) ).
cnf(326,plain,
( ~ aElementOf0(X0,xY)
| aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
inference(cnf,[status(esa)],[m__4448_02]) ).
cnf(l1,plain,
( ~ aElementOf0(sK43,xY)
| aElementOf0(sK43,sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[326]) ).
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/sandbox2/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(l7,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(sK43,sdtlpdtrp0(xN,xi))
| aElementOf0(sK43,szNzAzT0) ),
inference(instantiation,[status(thm)],[222]) ).
fof(m__4448,plain,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4448) ).
cnf(321,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf,[status(esa)],[m__4448]) ).
cnf(l12,plain,
aElementOf0(xi,szNzAzT0),
inference(instantiation,[status(thm)],[321]) ).
cnf(332,plain,
~ aElementOf0(sK43,szNzAzT0),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l16,plain,
~ aElementOf0(sK43,szNzAzT0),
inference(instantiation,[status(thm)],[332]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l12,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM590+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 13:04:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.18/0.35 % launching worker at depth: 9
% 0.18/0.40 % launching worker at depth: 10
% 6.00/1.08 % SZS status Theorem for theBenchmark
% 6.00/1.08 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------