%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : NUM533+2 : 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 : n019.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 08:13:03 AM UTC 2026
% Result : Theorem 10.44s 1.77s
% Output : CNFRefutation 10.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 22 ( 4 ~; 4 |; 6 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( aSubsetOf0(xB,xC)
& ! [X0] :
( aElementOf0(X0,xB)
=> aElementOf0(X0,xC) )
& aSubsetOf0(xA,xB)
& ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xB) ) )
=> ( aSubsetOf0(xA,xC)
| ! [X0] :
( aElementOf0(X0,xA)
=> aElementOf0(X0,xC) ) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c17,plain,
( aElementOf0(X0,xB)
| ~ aElementOf0(X0,xA) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
( aElementOf0(X0,xC)
| ~ aElementOf0(X0,xB) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c21,plain,
aElementOf0(sK22,xA),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c22,plain,
~ aElementOf0(sK22,xC),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
aElementOf0(sK22,xB),
inference(resolution,[status(thm)],[c17,c21]) ).
cnf(d1,plain,
aElementOf0(sK22,xC),
inference(resolution,[status(thm)],[c19,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c22,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM533+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 03:08:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.44/1.77 % SZS status Theorem for theBenchmark.p
% 10.44/1.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------