%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM571+1 : 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 : n023.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 10.18s 1.63s
% Output : CNFRefutation 10.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 42 ( 14 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 26 ( 6 ~; 6 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn 1 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(177,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)],[177]) ).
fof(m__3623,plain,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(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(166,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l24,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(instantiation,[status(thm)],[166]) ).
fof(m__3702_02,plain,
( xi != sz00
=> ( ? [W0] :
( aElementOf0(W0,szNzAzT0)
& szszuzczcdt0(W0) = xi )
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,xi)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3702_02) ).
cnf(175,plain,
( xi = sz00
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(cnf,[status(esa)],[m__3702_02]) ).
cnf(l43,plain,
( xi = sz00
| aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(instantiation,[status(thm)],[175]) ).
cnf(176,plain,
( xi = sz00
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(cnf,[status(esa)],[m__3702_02]) ).
cnf(l198,plain,
( xi = sz00
| isCountable0(sdtlpdtrp0(xN,xi)) ),
inference(instantiation,[status(thm)],[176]) ).
cnf(l66,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(instantiation,[status(thm)],[166]) ).
fof(m__3435,plain,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
cnf(153,plain,
isCountable0(xS),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l247,plain,
isCountable0(xS),
inference(instantiation,[status(thm)],[153]) ).
cnf(167,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnf,[status(esa)],[m__3623]) ).
cnf(l256,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(instantiation,[status(thm)],[167]) ).
cnf(152,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf,[status(esa)],[m__3435]) ).
cnf(l17,plain,
aSubsetOf0(xS,szNzAzT0),
inference(instantiation,[status(thm)],[152]) ).
cnf(l58,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(instantiation,[status(thm)],[167]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l24,l43,l198,l66,l247,l256,l17,l58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM571+1 : 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 : n023.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 12:54:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 8
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.53 % launching worker at depth: 11
% 10.18/1.63 % SZS status Theorem for theBenchmark
% 10.18/1.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------