%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN367+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 : n026.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 9.22s 1.93s
% Output : CNFRefutation 9.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 19 ( 7 ~; 6 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2118,conjecture,
( ! [X0] :
( ( 'big$ur'(X0)
& ~ p )
| ( 'big$uq'(X0)
& p ) )
=> ( ! [X0] : 'big$ur'(X0)
| ! [X0] : 'big$uq'(X0) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0] :
( ( 'big$ur'(X0)
& ~ p )
| ( 'big$uq'(X0)
& p ) )
=> ( ! [X0] : 'big$ur'(X0)
| ! [X0] : 'big$uq'(X0) ) ),
inference(negate_conjecture,[status(cth)],[x2118]) ).
cnf(c1,plain,
( 'big$ur'(X0)
| p ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ p
| 'big$uq'(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
~ 'big$uq'(sK1),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
~ 'big$ur'(sK2),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ p,
inference(resolution,[status(thm)],[c2,c4]) ).
cnf(d1,plain,
p,
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d2,plain,
$false,
inference(resolution,[status(thm)],[d1,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN367+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
% 0.11/0.72 % Computer : n026.cluster.edu
% 0.11/0.72 % Model : x86_64 x86_64
% 0.11/0.72 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.72 % Memory : 8046.5625MB
% 0.11/0.72 % OS : Linux 6.8.0-71-generic
% 0.11/0.72 % CPULimit : 300
% 0.11/0.72 % WCLimit : 300
% 0.11/0.72 % DateTime : Sat Sep 26 17:41:27 UTC 2026
% 0.11/0.72 % CPUTime :
% 0.11/0.72 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.22/1.93 % SZS status Theorem for theBenchmark.p
% 9.22/1.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------