%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 09:22:00 AM UTC 2026
% Result : Theorem 8.36s 16.55s
% Output : CNFRefutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 3 unt; 0 def)
% Number of atoms : 11 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 10 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn 2 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2130,conjecture,
( ! [X0] : 'big$up'(X0)
=> ( ? [X2] :
( 'big$up'(X2)
=> 'big$uq'(X2) )
| ~ ? [X1] : 'big$uq'(X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] : 'big$up'(X0)
=> ( ? [X2] :
( 'big$up'(X2)
=> 'big$uq'(X2) )
| ~ ? [X1] : 'big$uq'(X1) ) ),
inference(negate_conjecture,[status(cth)],[x2130]) ).
cnf(c1,plain,
'big$uq'(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
~ 'big$uq'(X0),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c3,c1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN378+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/15.44 % Computer : n015.cluster.edu
% 0.17/15.44 % Model : x86_64 x86_64
% 0.17/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/15.44 % Memory : 8046.5625MB
% 0.17/15.44 % OS : Linux 6.8.0-71-generic
% 0.17/15.44 % CPULimit : 300
% 0.17/15.44 % WCLimit : 300
% 0.17/15.44 % DateTime : Sat Sep 26 17:42:59 UTC 2026
% 0.17/15.44 % CPUTime :
% 0.17/15.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.36/16.55 % SZS status Theorem for theBenchmark.p
% 8.36/16.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------