%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM607+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 : n013.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 08:13:19 AM UTC 2026
% Result : Theorem 27.65s 6.43s
% Output : CNFRefutation 27.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 32 ( 1 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 25 ( 4 ~; 10 |; 5 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
( aElementOf0(xQ,szDzozmdt0(xc))
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( aElementOf0(xQ,szDzozmdt0(xc))
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xQ,xS)
| ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
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(c425,plain,
aElementOf0(sK285,xQ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c426,plain,
~ aElementOf0(sK285,xS),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
aElementOf0(sK285,xO),
inference(resolution,[status(thm)],[c413,c425]) ).
cnf(d1,plain,
aElementOf0(sK285,xS),
inference(resolution,[status(thm)],[d0,c410]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c426,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM607+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n013.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 03:25:36 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.65/6.43 % SZS status Theorem for theBenchmark.p
% 27.65/6.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------