%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM571+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 : n028.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 12:28:32 PM UTC 2025
% Result : Theorem 249.32s 31.76s
% Output : CNFRefutation 249.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 68 ( 15 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 53 ( 7 ~; 9 |; 26 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ( aSet0(sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(234,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(instantiation,[status(thm)],[234]) ).
fof(m__3623,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,W0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3623) ).
cnf(205,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l268,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(instantiation,[status(thm)],[205]) ).
fof(m__3702_02,plain,
( xi != sz00
=> ( ? [W0] :
( aElementOf0(W0,szNzAzT0)
& szszuzczcdt0(W0) = xi )
& aSet0(sdtlpdtrp0(xN,xi))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3702_02) ).
cnf(230,plain,
( xi = sz00
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf,[status(esa)],[m__3702_02]) ).
cnf(l289,plain,
( xi = sz00
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(instantiation,[status(thm)],[230]) ).
cnf(l1106,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(instantiation,[status(thm)],[205]) ).
cnf(206,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l1104,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(instantiation,[status(thm)],[206]) ).
cnf(231,plain,
( xi = sz00
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf,[status(esa)],[m__3702_02]) ).
cnf(l57,plain,
( xi = sz00
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[231]) ).
cnf(l53,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(instantiation,[status(thm)],[206]) ).
fof(m__3435,plain,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
cnf(154,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l1081,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[154]) ).
cnf(155,plain,
isCountable0(xS),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l25,plain,
isCountable0(xS),
inference(instantiation,[status(thm)],[155]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l268,l289,l1106,l1104,l57,l53,l1081,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : NUM571+3 : TPTP v9.0.0. Released v4.0.0.
% 0.00/0.08 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n028.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 12:55:19 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % launching worker at depth: 1
% 0.06/0.27 % launching worker at depth: 3
% 0.06/0.27 % launching worker at depth: 2
% 0.06/0.27 % launching worker at depth: 4
% 0.06/0.27 % launching worker at depth: 5
% 0.06/0.27 % launching worker at depth: 6
% 0.06/0.27 % launching worker at depth: 7
% 0.06/0.27 % launching worker at depth: 8
% 0.06/0.29 % launching worker at depth: 9
% 0.10/0.32 % launching worker at depth: 10
% 4.54/0.87 % launching worker at depth: 11
% 249.32/31.76 % SZS status Theorem for theBenchmark
% 249.32/31.76 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------