%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM588+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 : n020.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 1.42s 0.52s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 95 ( 6 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 94 ( 17 ~; 14 |; 37 &)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& aElementOf0(W2,sdtlpdtrp0(xN,W0))
& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(W1) )
=> ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& sbrdtbr0(W2) = xk
& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W3] :
( aElementOf0(W3,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W3] :
( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W3)
& aElementOf0(W3,sdtlpdtrp0(xN,W0))
& W3 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
| aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
| aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W2] :
( aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W2)
& aElementOf0(W2,sdtlpdtrp0(xN,W0))
& W2 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(W1) )
=> ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& sbrdtbr0(W2) = xk
& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W3] :
( aElementOf0(W3,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W3] :
( aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W3)
& aElementOf0(W3,sdtlpdtrp0(xN,W0))
& W3 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
| aSubsetOf0(W2,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
| aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(299,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))),
inference(instantiation,[status(thm)],[299]) ).
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(sK43)
| ~ aSet0(sK42)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41))))
| ~ aSubsetOf0(sK43,sK42)
| ~ aSubsetOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41))))
| aSubsetOf0(sK43,sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(304,plain,
aSet0(sK42),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l3,plain,
aSet0(sK42),
inference(instantiation,[status(thm)],[304]) ).
cnf(306,plain,
aSubsetOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l5,plain,
aSubsetOf0(sK42,sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))),
inference(instantiation,[status(thm)],[306]) ).
cnf(310,plain,
aSubsetOf0(sK43,sK42),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l2,plain,
aSubsetOf0(sK43,sK42),
inference(instantiation,[status(thm)],[310]) ).
cnf(322,plain,
~ aSubsetOf0(sK43,sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l7,plain,
~ aSubsetOf0(sK43,sdtmndt0(sdtlpdtrp0(xN,sK41),szmzizndt0(sdtlpdtrp0(xN,sK41)))),
inference(instantiation,[status(thm)],[322]) ).
cnf(308,plain,
aSet0(sK43),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l4,plain,
aSet0(sK43),
inference(instantiation,[status(thm)],[308]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l7,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM588+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 : n020.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 13:02:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.37 % launching worker at depth: 9
% 1.42/0.52 % SZS status Theorem for theBenchmark
% 1.42/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------