%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM582+3 : 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 : n003.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 21.52s 3.20s
% Output : CNFRefutation 21.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 65 ( 4 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 62 ( 18 ~; 16 |; 16 &)
% ( 1 <=>; 11 =>; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 11 !; 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)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( X1 != szmzizndt0(sdtlpdtrp0(xN,X0))
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),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))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> aElementOf0(X2,sdtlpdtrp0(xN,X1)) ) ) ) ) ).
fof(m__3989,hypothesis,
aElementOf0(xi,szNzAzT0) ).
fof(m__,conjecture,
( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,xS) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
| ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xi))
=> aElementOf0(X0,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(c229,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(clausification,[status(esa)],[m__3623]) ).
cnf(c248,plain,
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,X1) ),
inference(clausification,[status(esa)],[m__3754]) ).
cnf(c256,plain,
aElementOf0(xi,szNzAzT0),
inference(clausification,[status(esa)],[m__3989]) ).
cnf(c277,plain,
aElementOf0(sK209,sdtlpdtrp0(xN,xi)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c278,plain,
~ aElementOf0(sK209,xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ sdtlseqdt0(X0,xi)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK209,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c248,c277]) ).
cnf(d1,plain,
( ~ sdtlseqdt0(X0,xi)
| aElementOf0(sK209,sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(resolution,[status(thm)],[c256,d0]) ).
cnf(d2,plain,
( ~ sdtlseqdt0(sz00,xi)
| ~ aElementOf0(sz00,szNzAzT0)
| aElementOf0(sK209,xS) ),
inference(superposition,[status(thm)],[c229,d1]) ).
cnf(d3,plain,
( ~ sdtlseqdt0(sz00,xi)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[c278,d2]) ).
cnf(d4,plain,
~ sdtlseqdt0(sz00,xi),
inference(resolution,[status(thm)],[c54,d3]) ).
cnf(d5,plain,
sdtlseqdt0(sz00,xi),
inference(resolution,[status(thm)],[c61,c256]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM582+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n003.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 03:21:25 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.52/3.20 % SZS status Theorem for theBenchmark.p
% 21.52/3.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------