%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN376+1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 09:21:59 AM UTC 2026
% Result : Theorem 8.92s 2.63s
% Output : CNFRefutation 8.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 6 ~; 4 |; 0 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 11 ( 3 sgn 6 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2127,conjecture,
( ? [X0] :
! [X1] :
( 'big$up'(X1)
<=> 'big$up'(X0) )
=> ( ! [X0] : ~ 'big$up'(X0)
| ! [X0] : 'big$up'(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ? [X0] :
! [X1] :
( 'big$up'(X1)
<=> 'big$up'(X0) )
=> ( ! [X0] : ~ 'big$up'(X0)
| ! [X0] : 'big$up'(X0) ) ),
inference(negate_conjecture,[status(cth)],[x2127]) ).
cnf(c0,plain,
( 'big$up'(sK0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( ~ 'big$up'(sK0)
| 'big$up'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
~ 'big$up'(sK2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
'big$up'(sK3),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$up'(sK0),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
'big$up'(X0),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN376+1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n003.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat Sep 26 17:41:10 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.92/2.63 % SZS status Theorem for theBenchmark.p
% 8.92/2.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------