%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN391+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 09:22:02 AM UTC 2026
% Result : Theorem 7.96s 1.60s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 35 ( 16 ~; 13 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel9,conjecture,
( ( ( ~ p2
| p1 )
& ( p2
| ~ p1 )
& ( p2
| p1 ) )
=> ~ ( ~ p2
| ~ p1 ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( ~ p2
| p1 )
& ( p2
| ~ p1 )
& ( p2
| p1 ) )
=> ~ ( ~ p2
| ~ p1 ) ),
inference(negate_conjecture,[status(cth)],[pel9]) ).
cnf(c0,plain,
( p2
| p1 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( p2
| ~ p1 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( ~ p2
| p1 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( ~ p2
| ~ p1 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p2
| p2 ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
~ p1,
inference(resolution,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
p1,
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN391+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.51 % Computer : n020.cluster.edu
% 0.09/0.51 % Model : x86_64 x86_64
% 0.09/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.51 % Memory : 8046.5625MB
% 0.09/0.51 % OS : Linux 6.8.0-71-generic
% 0.09/0.51 % CPULimit : 300
% 0.09/0.51 % WCLimit : 300
% 0.09/0.51 % DateTime : Sat Sep 26 17:41:04 UTC 2026
% 0.09/0.52 % CPUTime :
% 0.09/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.96/1.60 % SZS status Theorem for theBenchmark.p
% 7.96/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------