%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM592+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 : n010.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 08:13:15 AM UTC 2026
% Result : Theorem 20.37s 4.91s
% Output : CNFRefutation 20.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 90 ( 22 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 114 ( 53 ~; 45 |; 13 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 3 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4448_02,hypothesis,
( xd = sdtlpdtrp0(xC,xi)
& xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))) ) ).
fof(m__4545,hypothesis,
( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xX,xk))
& aSet0(X0) )
=> sdtlpdtrp0(xd,X0) = xu )
& isCountable0(xX)
& aSubsetOf0(xX,xY)
& aElementOf0(xu,xT) ) ).
fof(m__,conjecture,
? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aElementOf0(X0,xT) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& aSet0(X2) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aElementOf0(X0,xT) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c207,plain,
xY = sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(clausification,[status(esa)],[m__4448_02]) ).
cnf(c208,plain,
xd = sdtlpdtrp0(xC,xi),
inference(clausification,[status(esa)],[m__4448_02]) ).
cnf(c214,plain,
aElementOf0(xu,xT),
inference(clausification,[status(esa)],[m__4545]) ).
cnf(c215,plain,
aSubsetOf0(xX,xY),
inference(clausification,[status(esa)],[m__4545]) ).
cnf(c216,plain,
isCountable0(xX),
inference(clausification,[status(esa)],[m__4545]) ).
cnf(c217,plain,
( sdtlpdtrp0(xd,X0) = xu
| ~ aElementOf0(X0,slbdtsldtrb0(xX,xk))
| ~ aSet0(X0) ),
inference(clausification,[status(esa)],[m__4545]) ).
cnf(c218,plain,
( aSet0(sK183(X0,X1))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xT) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c219,plain,
( aElementOf0(sK183(X0,X1),slbdtsldtrb0(X1,xk))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xT) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c220,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),sK183(X0,X1)) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(X0,xT) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xd,sK183(X0,X1)) != X0 ),
inference(demodulation,[status(thm)],[c220,c208]) ).
cnf(d1,plain,
( ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xd,sK183(X0,X1)) != X0 ),
inference(demodulation,[status(thm)],[d0,c207]) ).
cnf(d2,plain,
( ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT)
| aSet0(sK183(X0,X1)) ),
inference(demodulation,[status(thm)],[c218,c207]) ).
cnf(d3,plain,
( ~ aSubsetOf0(X1,xY)
| ~ isCountable0(X1)
| aElementOf0(sK183(X0,X1),slbdtsldtrb0(X1,xk))
| ~ aElementOf0(X0,xT) ),
inference(demodulation,[status(thm)],[c219,c207]) ).
cnf(d4,plain,
( ~ aSet0(sK183(X0,xX))
| sdtlpdtrp0(xd,sK183(X0,xX)) = xu
| ~ aSubsetOf0(xX,xY)
| ~ isCountable0(xX)
| ~ aElementOf0(X0,xT) ),
inference(resolution,[status(thm)],[d3,c217]) ).
cnf(d5,plain,
( ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(X0,xT)
| ~ aSet0(sK183(X0,xX))
| sdtlpdtrp0(xd,sK183(X0,xX)) = xu ),
inference(resolution,[status(thm)],[c216,d4]) ).
cnf(d6,plain,
( ~ aElementOf0(X0,xT)
| ~ aSet0(sK183(X0,xX))
| sdtlpdtrp0(xd,sK183(X0,xX)) = xu ),
inference(resolution,[status(thm)],[c215,d5]) ).
cnf(d7,plain,
( ~ aSubsetOf0(xX,xY)
| ~ isCountable0(xX)
| ~ aElementOf0(X0,xT)
| ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xd,sK183(X0,xX)) = xu ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xd,sK183(X0,xX)) = xu ),
inference(resolution,[status(thm)],[c216,d7]) ).
cnf(d9,plain,
( ~ aElementOf0(X0,xT)
| sdtlpdtrp0(xd,sK183(X0,xX)) = xu ),
inference(resolution,[status(thm)],[c215,d8]) ).
cnf(d10,plain,
sdtlpdtrp0(xd,sK183(xu,xX)) = xu,
inference(resolution,[status(thm)],[d9,c214]) ).
cnf(d11,plain,
( ~ aSubsetOf0(xX,xY)
| ~ isCountable0(xX)
| ~ aElementOf0(xu,xT)
| xu != xu ),
inference(superposition,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( ~ aSubsetOf0(xX,xY)
| ~ aElementOf0(xu,xT)
| xu != xu ),
inference(resolution,[status(thm)],[c216,d11]) ).
cnf(d13,plain,
( ~ aSubsetOf0(xX,xY)
| xu != xu ),
inference(resolution,[status(thm)],[c214,d12]) ).
cnf(d14,plain,
xu != xu,
inference(resolution,[status(thm)],[c215,d13]) ).
cnf(d15,plain,
$false,
inference(equality_resolution,[status(thm)],[d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM592+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.41 % Computer : n010.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 03:22:14 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.37/4.91 % SZS status Theorem for theBenchmark.p
% 20.37/4.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------