%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN355+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 09:21:56 AM UTC 2026
% Result : Theorem 8.81s 1.58s
% Output : CNFRefutation 8.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 18 ( 6 ~; 4 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2106,conjecture,
( ( ! [X0] :
( ~ 'big$uq'(X0)
=> 'big$ur'(X0) )
& ! [X0] :
( 'big$ur'(X0)
=> 'big$up'(X0) ) )
=> ! [X0] :
( 'big$uq'(X0)
| 'big$up'(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X0] :
( ~ 'big$uq'(X0)
=> 'big$ur'(X0) )
& ! [X0] :
( 'big$ur'(X0)
=> 'big$up'(X0) ) )
=> ! [X0] :
( 'big$uq'(X0)
| 'big$up'(X0) ) ),
inference(negate_conjecture,[status(cth)],[x2106]) ).
cnf(c0,plain,
( 'big$up'(X0)
| ~ 'big$ur'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( 'big$ur'(X0)
| 'big$uq'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
~ 'big$up'(sK2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
~ 'big$uq'(sK2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$ur'(sK2),
inference(resolution,[status(thm)],[c1,c3]) ).
cnf(d1,plain,
'big$up'(sK2),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[c2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN355+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 17:40:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.81/1.58 % SZS status Theorem for theBenchmark.p
% 8.81/1.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------