%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM568+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 : n026.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 17.23s 2.77s
% Output : CNFRefutation 17.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 30 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 9 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 7 ( 0 sgn 1 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mNatExtra,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( X0 = szszuzczcdt0(X1)
& aElementOf0(X1,szNzAzT0) )
| X0 = sz00 ) ) ).
fof(m__3418,hypothesis,
aElementOf0(xK,szNzAzT0) ).
fof(m__3462,hypothesis,
xK != sz00 ).
fof(m__,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c58,plain,
( aElementOf0(sK51(X0),szNzAzT0)
| X0 = sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mNatExtra]) ).
cnf(c59,plain,
( X0 = szszuzczcdt0(sK51(X0))
| X0 = sz00
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[mNatExtra]) ).
cnf(c174,plain,
aElementOf0(xK,szNzAzT0),
inference(clausification,[status(esa)],[m__3418]) ).
cnf(c184,plain,
xK != sz00,
inference(clausification,[status(esa)],[m__3462]) ).
cnf(c186,plain,
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( xK = szszuzczcdt0(sK51(xK))
| xK = sz00 ),
inference(resolution,[status(thm)],[c59,c174]) ).
cnf(d1,plain,
xK = szszuzczcdt0(sK51(xK)),
inference(resolution,[status(thm)],[c184,d0]) ).
cnf(d2,plain,
( ~ aElementOf0(sK51(xK),szNzAzT0)
| xK != xK ),
inference(superposition,[status(thm)],[d1,c186]) ).
cnf(d3,plain,
~ aElementOf0(sK51(xK),szNzAzT0),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ aElementOf0(xK,szNzAzT0)
| xK = sz00 ),
inference(resolution,[status(thm)],[d3,c58]) ).
cnf(d5,plain,
xK = sz00,
inference(resolution,[status(thm)],[c174,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c184,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM568+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n026.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 03:18:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.23/2.77 % SZS status Theorem for theBenchmark.p
% 17.23/2.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------