%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 08:21:32 AM UTC 2026
% Result : Unsatisfiable 6.53s 2.64s
% Output : CNFRefutation 6.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 20 RR)
% Number of literals : 36 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,axiom,
( ~ 'b$uis$ua$uknight'
| ~ 'a$uis$ua$uknight' ) ).
cnf(c10,axiom,
( 'c$uis$ua$uknight'
| ~ 'd$uis$ua$uknight'
| ~ 'e$uis$ua$uknight' ) ).
cnf(c13,axiom,
( 'c$uis$ua$uknight'
| 'a$uis$ua$uknight'
| 'd$uis$ua$uknight' ) ).
cnf(c16,axiom,
( 'e$uis$ua$uknight'
| 'a$uis$ua$uknight' ) ).
cnf(c17,axiom,
( ~ 'c$uis$ua$uknight'
| 'a$uis$ua$uknight' ) ).
cnf(c18,negated_conjecture,
'b$uis$ua$uknight' ).
cnf(c_0,plain,
( ~ 'b$uis$ua$uknight'
| ~ 'a$uis$ua$uknight' ),
inference(clausification,[status(esa)],[c1]) ).
cnf(c_9,plain,
( 'c$uis$ua$uknight'
| ~ 'd$uis$ua$uknight'
| ~ 'e$uis$ua$uknight' ),
inference(clausification,[status(esa)],[c10]) ).
cnf(c_12,plain,
( 'c$uis$ua$uknight'
| 'a$uis$ua$uknight'
| 'd$uis$ua$uknight' ),
inference(clausification,[status(esa)],[c13]) ).
cnf(c_15,plain,
( 'e$uis$ua$uknight'
| 'a$uis$ua$uknight' ),
inference(clausification,[status(esa)],[c16]) ).
cnf(c_16,plain,
( ~ 'c$uis$ua$uknight'
| 'a$uis$ua$uknight' ),
inference(clausification,[status(esa)],[c17]) ).
cnf(c_17,plain,
'b$uis$ua$uknight',
inference(clausification,[status(esa)],[c18]) ).
cnf(d0,plain,
~ 'a$uis$ua$uknight',
inference(resolution,[status(thm)],[c_17,c_0]) ).
cnf(d1,plain,
'e$uis$ua$uknight',
inference(resolution,[status(thm)],[d0,c_15]) ).
cnf(d2,plain,
( 'c$uis$ua$uknight'
| ~ 'd$uis$ua$uknight' ),
inference(resolution,[status(thm)],[d1,c_9]) ).
cnf(d3,plain,
~ 'c$uis$ua$uknight',
inference(resolution,[status(thm)],[d0,c_16]) ).
cnf(d4,plain,
~ 'd$uis$ua$uknight',
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'c$uis$ua$uknight'
| 'd$uis$ua$uknight' ),
inference(resolution,[status(thm)],[d0,c_12]) ).
cnf(d6,plain,
'd$uis$ua$uknight',
inference(resolution,[status(thm)],[d3,d5]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n007.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 05:01:24 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.53/2.64 % SZS status Unsatisfiable for theBenchmark.p
% 6.53/2.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------