%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN366+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 : n004.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 09:21:58 AM UTC 2026
% Result : Theorem 13.01s 2.27s
% Output : CNFRefutation 13.01s
% 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 : 16 ( 4 ~; 2 |; 2 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 3 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2117,conjecture,
( ( ! [X2,X3] :
( 'big$ur'(X2,X2)
<=> 'big$ur'(X3,X2) )
& ! [X0,X1] :
( 'big$ur'(X0,X0)
<=> 'big$ur'(X0,X1) ) )
=> ( ? [X4] : 'big$ur'(X4,X4)
=> ! [X5] : 'big$ur'(X5,X5) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ! [X2,X3] :
( 'big$ur'(X2,X2)
<=> 'big$ur'(X3,X2) )
& ! [X0,X1] :
( 'big$ur'(X0,X0)
<=> 'big$ur'(X0,X1) ) )
=> ( ? [X4] : 'big$ur'(X4,X4)
=> ! [X5] : 'big$ur'(X5,X5) ) ),
inference(negate_conjecture,[status(cth)],[x2117]) ).
cnf(c0,plain,
( 'big$ur'(X0,X1)
| ~ 'big$ur'(X0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ 'big$ur'(X1,X0)
| 'big$ur'(X0,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
'big$ur'(sK4,sK4),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
~ 'big$ur'(sK5,sK5),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'big$ur'(sK4,X0),
inference(resolution,[status(thm)],[c0,c4]) ).
cnf(d1,plain,
'big$ur'(X0,X0),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN366+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n004.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sat Sep 26 17:38:37 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.01/2.27 % SZS status Theorem for theBenchmark.p
% 13.01/2.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------