%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM533+2 : 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 : n025.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 12:28:25 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 41 ( 11 ~; 10 |; 9 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xB,xC) )
=> ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) )
| aSubsetOf0(xA,xC) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xB,xC) )
=> ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) )
| aSubsetOf0(xA,xC) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(17,plain,
( ~ aElementOf0(X0,xA)
| aElementOf0(X0,xB) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aElementOf0(sK3,xA)
| aElementOf0(sK3,xB) ),
inference(instantiation,[status(thm)],[17]) ).
fof(mDefSub,plain,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(8,plain,
( ~ aSet0(X0)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X0)
| aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefSub]) ).
cnf(l2,plain,
( ~ aSet0(xC)
| ~ aElementOf0(sK3,xB)
| ~ aSubsetOf0(xB,xC)
| aElementOf0(sK3,xC) ),
inference(instantiation,[status(thm)],[8]) ).
fof(m__522,plain,
( aSet0(xA)
& aSet0(xB)
& aSet0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__522) ).
cnf(16,plain,
aSet0(xC),
inference(cnf,[status(esa)],[m__522]) ).
cnf(l5,plain,
aSet0(xC),
inference(instantiation,[status(thm)],[16]) ).
cnf(21,plain,
aElementOf0(sK3,xA),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l1,plain,
aElementOf0(sK3,xA),
inference(instantiation,[status(thm)],[21]) ).
cnf(22,plain,
~ aElementOf0(sK3,xC),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l9,plain,
~ aElementOf0(sK3,xC),
inference(instantiation,[status(thm)],[22]) ).
cnf(20,plain,
aSubsetOf0(xB,xC),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l6,plain,
aSubsetOf0(xB,xC),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l5,l1,l9,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM533+2 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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 12:42:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------