%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM582+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 08:13:13 AM UTC 2026
% Result : Theorem 18.59s 3.85s
% Output : CNFRefutation 18.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 40 ( 3 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 10 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0) ).
fof(mZeroLess,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlseqdt0(sz00,X0) ) ).
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__3754,hypothesis,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ) ).
fof(m__3989,hypothesis,
aElementOf0(xi,szNzAzT0) ).
fof(m__,conjecture,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ).
fof(negated_conjecture,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c54,plain,
aElementOf0(sz00,szNzAzT0),
inference(clausification,[status(esa)],[mZeroNum]) ).
cnf(c61,plain,
( sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mZeroLess]) ).
cnf(c190,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(clausification,[status(esa)],[m__3623]) ).
cnf(c195,plain,
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[m__3754]) ).
cnf(c197,plain,
aElementOf0(xi,szNzAzT0),
inference(clausification,[status(esa)],[m__3989]) ).
cnf(c200,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ sdtlseqdt0(sz00,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS) ),
inference(superposition,[status(thm)],[c190,c195]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(sz00,X0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c54,d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(sz00,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[d1,c200]) ).
cnf(d3,plain,
~ sdtlseqdt0(sz00,xi),
inference(resolution,[status(thm)],[c197,d2]) ).
cnf(d4,plain,
sdtlseqdt0(sz00,xi),
inference(resolution,[status(thm)],[c61,c197]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM582+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 03:22:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.59/3.85 % SZS status Theorem for theBenchmark.p
% 18.59/3.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------