%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM571+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:13:11 AM UTC 2026
% Result : Theorem 10.59s 2.56s
% Output : CNFRefutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 5 unt; 0 def)
% Number of atoms : 42 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 37 ( 14 ~; 9 |; 11 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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__3435,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ) ).
fof(m__3623,hypothesis,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
& sdtlpdtrp0(xN,sz00) = xS
& szDzozmdt0(xN) = szNzAzT0
& aFunction0(xN) ) ).
fof(m__3702_02,hypothesis,
( xi != sz00
=> ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
& ? [X0] :
( szszuzczcdt0(X0) = xi
& aElementOf0(X0,szNzAzT0) ) ) ) ).
fof(m__,conjecture,
( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( isCountable0(sdtlpdtrp0(xN,xi))
& aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c175,plain,
aSubsetOf0(xS,szNzAzT0),
inference(clausification,[status(esa)],[m__3435]) ).
cnf(c176,plain,
isCountable0(xS),
inference(clausification,[status(esa)],[m__3435]) ).
cnf(c190,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(clausification,[status(esa)],[m__3623]) ).
cnf(c198,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| xi = sz00 ),
inference(clausification,[status(esa)],[m__3702_02]) ).
cnf(c199,plain,
( isCountable0(sdtlpdtrp0(xN,xi))
| xi = sz00 ),
inference(clausification,[status(esa)],[m__3702_02]) ).
cnf(c200,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xi))
| xi = sz00 ),
inference(resolution,[status(thm)],[c198,c200]) ).
cnf(d1,plain,
( xi = sz00
| xi = sz00 ),
inference(resolution,[status(thm)],[d0,c199]) ).
cnf(d2,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sz00)) ),
inference(demodulation,[status(thm)],[c200,d1]) ).
cnf(d3,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,sz00)) ),
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,sz00),szNzAzT0)
| ~ isCountable0(xS) ),
inference(demodulation,[status(thm)],[d3,c190]) ).
cnf(d5,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isCountable0(xS) ),
inference(demodulation,[status(thm)],[d4,c190]) ).
cnf(d6,plain,
~ aSubsetOf0(xS,szNzAzT0),
inference(resolution,[status(thm)],[c176,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c175,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM571+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:18:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.59/2.56 % SZS status Theorem for theBenchmark.p
% 10.59/2.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------