%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN055+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 : 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 09:20:58 AM UTC 2026
% Result : Theorem 9.05s 7.46s
% Output : CNFRefutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 3 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 2 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel25_1,axiom,
? [X0] : 'big$up'(X0) ).
fof(pel25_2,axiom,
! [X0] :
( 'big$uf'(X0)
=> ( 'big$ur'(X0)
& ~ 'big$ug'(X0) ) ) ).
fof(pel25_3,axiom,
! [X0] :
( 'big$up'(X0)
=> ( 'big$uf'(X0)
& 'big$ug'(X0) ) ) ).
cnf(c0,plain,
'big$up'(sK0),
inference(clausification,[status(esa)],[pel25_1]) ).
cnf(c1,plain,
( ~ 'big$ug'(X0)
| ~ 'big$uf'(X0) ),
inference(clausification,[status(esa)],[pel25_2]) ).
cnf(c3,plain,
( 'big$ug'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[pel25_3]) ).
cnf(c4,plain,
( 'big$uf'(X0)
| ~ 'big$up'(X0) ),
inference(clausification,[status(esa)],[pel25_3]) ).
cnf(d0,plain,
'big$ug'(sK0),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d1,plain,
~ 'big$uf'(sK0),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
'big$uf'(sK0),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN055+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
% 0.13/5.40 % Computer : n026.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Sat Sep 26 17:10:18 UTC 2026
% 0.17/5.40 % CPUTime :
% 0.17/5.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.05/7.46 % SZS status Theorem for theBenchmark.p
% 9.05/7.46 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------