%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 08:21:43 AM UTC 2026
% Result : Unsatisfiable 9.64s 1.67s
% Output : CNFRefutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 27 ( 12 unt; 2 nHn; 27 RR)
% Number of literals : 53 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,axiom,
( 'some$umonitors$uare$uawake'
| ~ 'some$uenglish$using$unot'
| ~ 'some$uenglish$using' ) ).
cnf(c6,axiom,
( 'some$ugermans$uplay'
| ~ 'some$uirish$ufight$unot'
| ~ 'some$uscotch$udance$unot' ) ).
cnf(c9,axiom,
( ~ 'some$ugermans$uplay'
| ~ 'some$uscotch$udance$unot'
| 'some$uenglish$using$unot'
| ~ 'some$uenglish$using' ) ).
cnf(c10,axiom,
( 'some$uirish$ufight$unot'
| ~ 'some$umonitors$uare$unot$uawake'
| ~ 'some$uenglish$using' ) ).
cnf(c13,axiom,
( 'some$umonitors$uare$uawake'
| 'some$umonitors$uare$unot$uawake' ) ).
cnf(c18,axiom,
'some$uenglish$using' ).
cnf(c19,axiom,
'some$uscotch$udance$unot' ).
cnf(prove_some_monitors_are_awake,negated_conjecture,
~ 'some$umonitors$uare$uawake' ).
cnf(c_0,plain,
( 'some$umonitors$uare$uawake'
| ~ 'some$uenglish$using$unot'
| ~ 'some$uenglish$using' ),
inference(clausification,[status(esa)],[c1]) ).
cnf(c_5,plain,
( 'some$ugermans$uplay'
| ~ 'some$uirish$ufight$unot'
| ~ 'some$uscotch$udance$unot' ),
inference(clausification,[status(esa)],[c6]) ).
cnf(c_8,plain,
( ~ 'some$ugermans$uplay'
| ~ 'some$uscotch$udance$unot'
| 'some$uenglish$using$unot'
| ~ 'some$uenglish$using' ),
inference(clausification,[status(esa)],[c9]) ).
cnf(c_9,plain,
( 'some$uirish$ufight$unot'
| ~ 'some$umonitors$uare$unot$uawake'
| ~ 'some$uenglish$using' ),
inference(clausification,[status(esa)],[c10]) ).
cnf(c_12,plain,
( 'some$umonitors$uare$uawake'
| 'some$umonitors$uare$unot$uawake' ),
inference(clausification,[status(esa)],[c13]) ).
cnf(c_17,plain,
'some$uenglish$using',
inference(clausification,[status(esa)],[c18]) ).
cnf(c_18,plain,
'some$uscotch$udance$unot',
inference(clausification,[status(esa)],[c19]) ).
cnf(c_19,plain,
~ 'some$umonitors$uare$uawake',
inference(clausification,[status(esa)],[prove_some_monitors_are_awake]) ).
cnf(d0,plain,
( ~ 'some$uirish$ufight$unot'
| 'some$ugermans$uplay' ),
inference(resolution,[status(thm)],[c_18,c_5]) ).
cnf(d1,plain,
( ~ 'some$uscotch$udance$unot'
| ~ 'some$ugermans$uplay'
| 'some$uenglish$using$unot' ),
inference(resolution,[status(thm)],[c_17,c_8]) ).
cnf(d2,plain,
( ~ 'some$ugermans$uplay'
| 'some$uenglish$using$unot' ),
inference(resolution,[status(thm)],[c_18,d1]) ).
cnf(d3,plain,
( 'some$umonitors$uare$uawake'
| ~ 'some$uenglish$using$unot' ),
inference(resolution,[status(thm)],[c_17,c_0]) ).
cnf(d4,plain,
~ 'some$uenglish$using$unot',
inference(resolution,[status(thm)],[c_19,d3]) ).
cnf(d5,plain,
~ 'some$ugermans$uplay',
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ 'some$uirish$ufight$unot',
inference(resolution,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
( 'some$uirish$ufight$unot'
| ~ 'some$umonitors$uare$unot$uawake' ),
inference(resolution,[status(thm)],[c_17,c_9]) ).
cnf(d8,plain,
'some$umonitors$uare$unot$uawake',
inference(resolution,[status(thm)],[c_19,c_12]) ).
cnf(d9,plain,
'some$uirish$ufight$unot',
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 05:08:31 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.64/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 9.64/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------