%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM609+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 12:28:39 PM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 23 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 19 ( 6 ~; 4 |; 5 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xQ) )
| aSubsetOf0(xP,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xQ) )
| aSubsetOf0(xP,xQ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(410,plain,
aElementOf0(sK56,xP),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aElementOf0(sK56,xP),
inference(instantiation,[status(thm)],[410]) ).
fof(m__5164,plain,
( aSet0(xP)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),W0) )
& ! [W0] :
( aElementOf0(W0,xP)
<=> ( aElement0(W0)
& aElementOf0(W0,xQ)
& W0 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(403,plain,
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(cnf,[status(esa)],[m__5164]) ).
cnf(l1,plain,
( ~ aElementOf0(sK56,xP)
| aElementOf0(sK56,xQ) ),
inference(instantiation,[status(thm)],[403]) ).
cnf(411,plain,
~ aElementOf0(sK56,xQ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l5,plain,
~ aElementOf0(sK56,xQ),
inference(instantiation,[status(thm)],[411]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM609+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 : n021.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 13:11:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------