%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM565+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 12:28:31 PM UTC 2025
% Result : Theorem 15.10s 2.23s
% Output : CNFRefutation 15.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 31 ( 9 ~; 4 |; 10 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 5 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
! [W0] :
( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = sz00
& aElementOf0(W0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [W1] : aElementOf0(W1,slcrc0) )
=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ! [W0] :
( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = sz00
& aElementOf0(W0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [W1] : aElementOf0(W1,slcrc0) )
=> sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(206,plain,
aSet0(sK34),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aSet0(sK34),
inference(instantiation,[status(thm)],[206]) ).
fof(mCardEmpty,plain,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
cnf(65,plain,
( ~ aSet0(X0)
| sbrdtbr0(X0) != sz00
| X0 = slcrc0 ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
cnf(l1,plain,
( ~ aSet0(sK34)
| sbrdtbr0(sK34) != sz00
| sK34 = slcrc0 ),
inference(instantiation,[status(thm)],[65]) ).
cnf(209,plain,
sbrdtbr0(sK34) = sz00,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l3,plain,
sbrdtbr0(sK34) = sz00,
inference(instantiation,[status(thm)],[209]) ).
cnf(213,plain,
sdtlpdtrp0(xc,sK34) != sdtlpdtrp0(xc,slcrc0),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l16,plain,
sdtlpdtrp0(xc,sK34) != sdtlpdtrp0(xc,slcrc0),
inference(instantiation,[status(thm)],[213]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM565+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 12:53:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 9
% 0.18/0.47 % launching worker at depth: 10
% 15.10/2.23 % SZS status Theorem for theBenchmark
% 15.10/2.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------