%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM607+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 : n019.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 12:28:38 PM UTC 2025
% Result : Theorem 0.18s 0.41s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 61 ( 1 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 52 ( 13 ~; 18 |; 12 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(394,plain,
~ aSubsetOf0(xQ,xS),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
~ aSubsetOf0(xQ,xS),
inference(instantiation,[status(thm)],[394]) ).
fof(mSubTrans,plain,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
cnf(14,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| aSubsetOf0(X0,X2) ),
inference(cnf,[status(esa)],[mSubTrans]) ).
cnf(l1,plain,
( ~ aSet0(xQ)
| ~ aSet0(xO)
| ~ aSet0(xS)
| ~ aSubsetOf0(xQ,xO)
| ~ aSubsetOf0(xO,xS)
| aSubsetOf0(xQ,xS) ),
inference(instantiation,[status(thm)],[14]) ).
fof(m__3435,plain,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
cnf(152,plain,
aSet0(xS),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l4,plain,
aSet0(xS),
inference(instantiation,[status(thm)],[152]) ).
fof(m__5078,plain,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(384,plain,
aSubsetOf0(xQ,xO),
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l3,plain,
aSubsetOf0(xQ,xO),
inference(instantiation,[status(thm)],[384]) ).
fof(m__4908,plain,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
cnf(372,plain,
aSet0(xO),
inference(cnf,[status(esa)],[m__4908]) ).
cnf(l7,plain,
aSet0(xO),
inference(instantiation,[status(thm)],[372]) ).
fof(m__4998,plain,
( ! [W0] :
( aElementOf0(W0,xO)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
cnf(381,plain,
aSubsetOf0(xO,xS),
inference(cnf,[status(esa)],[m__4998]) ).
cnf(l6,plain,
aSubsetOf0(xO,xS),
inference(instantiation,[status(thm)],[381]) ).
cnf(382,plain,
aSet0(xQ),
inference(cnf,[status(esa)],[m__5078]) ).
cnf(l2,plain,
aSet0(xQ),
inference(instantiation,[status(thm)],[382]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l7,l6,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM607+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 : n019.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 13:10:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 5
% 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: 7
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.41 % SZS status Theorem for theBenchmark
% 0.18/0.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------