%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM606+3 : 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 : n012.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 08:13:18 AM UTC 2026
% Result : Theorem 20.08s 28.47s
% Output : CNFRefutation 20.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 32 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 23 ( 5 ~; 5 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3435,hypothesis,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ) ).
fof(m__4998,hypothesis,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ) ).
fof(m__5078,hypothesis,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& sbrdtbr0(xQ) = xK
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ) ).
fof(m__,conjecture,
( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aSubsetOf0(xQ,szNzAzT0)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,szNzAzT0) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c176,plain,
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(clausification,[status(esa)],[m__3435]) ).
cnf(c410,plain,
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(clausification,[status(esa)],[m__4998]) ).
cnf(c413,plain,
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) ),
inference(clausification,[status(esa)],[m__5078]) ).
cnf(c420,plain,
aElementOf0(sK283,xQ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c421,plain,
~ aElementOf0(sK283,szNzAzT0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
aElementOf0(sK283,xO),
inference(resolution,[status(thm)],[c413,c420]) ).
cnf(d1,plain,
aElementOf0(sK283,xS),
inference(resolution,[status(thm)],[d0,c410]) ).
cnf(d2,plain,
aElementOf0(sK283,szNzAzT0),
inference(resolution,[status(thm)],[d1,c176]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c421,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM606+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/25.53 % Computer : n012.cluster.edu
% 0.03/25.53 % Model : x86_64 x86_64
% 0.03/25.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/25.53 % Memory : 8046.5625MB
% 0.03/25.53 % OS : Linux 6.8.0-71-generic
% 0.03/25.53 % CPULimit : 300
% 0.03/25.53 % WCLimit : 300
% 0.03/25.53 % DateTime : Sat Sep 26 03:25:46 UTC 2026
% 0.03/25.53 % CPUTime :
% 0.03/25.53 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.08/28.47 % SZS status Theorem for theBenchmark.p
% 20.08/28.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------