%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ014-1 : 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 : n011.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 7.78s 1.71s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 51 ( 14 unt; 8 nHn; 51 RR)
% Number of literals : 113 ( 0 equ; 61 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 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(c2,axiom,
( 'some$uwelsh$ueat'
| ~ 'some$uirish$ufight'
| ~ 'some$uscotch$udance' ) ).
cnf(c3,axiom,
( 'some$uof$uthe$ueleven$uare$unot$uoiling'
| 'some$ugermans$uplay$unot'
| ~ 'some$ugermans$uplay' ) ).
cnf(c4,axiom,
( 'some$uirish$ufight'
| ~ 'some$umonitors$uare$unot$uawake'
| ~ 'some$umonitors$uare$uawake' ) ).
cnf(c5,axiom,
( 'some$uwelsh$ueat$unot'
| 'some$uscotch$udance'
| ~ 'some$ugermans$uplay' ) ).
cnf(c6,axiom,
( 'some$ugermans$uplay'
| ~ 'some$uirish$ufight$unot'
| ~ 'some$uscotch$udance$unot' ) ).
cnf(c7,axiom,
( ~ 'some$uscotch$udance'
| ~ 'some$uwelsh$ueat'
| ~ 'some$umonitors$uare$uawake' ) ).
cnf(c8,axiom,
( ~ 'some$uirish$ufight'
| ~ 'some$uwelsh$ueat$unot'
| ~ 'some$ugermans$uplay$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$using' ) ).
cnf(c11,axiom,
( 'some$uscotch$udance'
| ~ 'some$uof$uthe$ueleven$uare$unot$uoiling'
| ~ 'some$umonitors$uare$uawake' ) ).
cnf(c18,axiom,
'some$uenglish$using' ).
cnf(c19,axiom,
'some$uscotch$udance$unot' ).
cnf(prove_all_monitors_are_awake,negated_conjecture,
'some$umonitors$uare$unot$uawake' ).
cnf(c_0,plain,
( 'some$umonitors$uare$uawake'
| ~ 'some$uenglish$using$unot'
| ~ 'some$uenglish$using' ),
inference(clausification,[status(esa)],[c1]) ).
cnf(c_1,plain,
( 'some$uwelsh$ueat'
| ~ 'some$uirish$ufight'
| ~ 'some$uscotch$udance' ),
inference(clausification,[status(esa)],[c2]) ).
cnf(c_2,plain,
( 'some$uof$uthe$ueleven$uare$unot$uoiling'
| 'some$ugermans$uplay$unot'
| ~ 'some$ugermans$uplay' ),
inference(clausification,[status(esa)],[c3]) ).
cnf(c_3,plain,
( 'some$uirish$ufight'
| ~ 'some$umonitors$uare$unot$uawake'
| ~ 'some$umonitors$uare$uawake' ),
inference(clausification,[status(esa)],[c4]) ).
cnf(c_4,plain,
( 'some$uwelsh$ueat$unot'
| 'some$uscotch$udance'
| ~ 'some$ugermans$uplay' ),
inference(clausification,[status(esa)],[c5]) ).
cnf(c_5,plain,
( 'some$ugermans$uplay'
| ~ 'some$uirish$ufight$unot'
| ~ 'some$uscotch$udance$unot' ),
inference(clausification,[status(esa)],[c6]) ).
cnf(c_6,plain,
( ~ 'some$uscotch$udance'
| ~ 'some$uwelsh$ueat'
| ~ 'some$umonitors$uare$uawake' ),
inference(clausification,[status(esa)],[c7]) ).
cnf(c_7,plain,
( ~ 'some$uirish$ufight'
| ~ 'some$uwelsh$ueat$unot'
| ~ 'some$ugermans$uplay$unot' ),
inference(clausification,[status(esa)],[c8]) ).
cnf(c_8,plain,
( ~ 'some$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_10,plain,
( 'some$uscotch$udance'
| ~ 'some$uof$uthe$ueleven$uare$unot$uoiling'
| ~ 'some$umonitors$uare$uawake' ),
inference(clausification,[status(esa)],[c11]) ).
cnf(c_17,plain,
'some$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$unot$uawake',
inference(clausification,[status(esa)],[prove_all_monitors_are_awake]) ).
cnf(d0,plain,
( 'some$umonitors$uare$uawake'
| ~ 'some$uenglish$using$unot' ),
inference(resolution,[status(thm)],[c_17,c_0]) ).
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$unot' ),
inference(resolution,[status(thm)],[c_18,d1]) ).
cnf(d3,plain,
( ~ 'some$uirish$ufight$unot'
| 'some$ugermans$uplay' ),
inference(resolution,[status(thm)],[c_18,c_5]) ).
cnf(d4,plain,
( 'some$uirish$ufight$unot'
| ~ 'some$umonitors$uare$unot$uawake' ),
inference(resolution,[status(thm)],[c_17,c_9]) ).
cnf(d5,plain,
'some$uirish$ufight$unot',
inference(resolution,[status(thm)],[c_19,d4]) ).
cnf(d6,plain,
'some$ugermans$uplay',
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
'some$uenglish$using$unot',
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
'some$umonitors$uare$uawake',
inference(resolution,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( ~ 'some$uwelsh$ueat'
| ~ 'some$uscotch$udance' ),
inference(resolution,[status(thm)],[d8,c_6]) ).
cnf(d10,plain,
( 'some$uof$uthe$ueleven$uare$unot$uoiling'
| 'some$ugermans$uplay$unot' ),
inference(resolution,[status(thm)],[d6,c_2]) ).
cnf(d11,plain,
( ~ 'some$uof$uthe$ueleven$uare$unot$uoiling'
| 'some$uscotch$udance' ),
inference(resolution,[status(thm)],[d8,c_10]) ).
cnf(d12,plain,
( 'some$ugermans$uplay$unot'
| 'some$uscotch$udance' ),
inference(resolution,[status(thm)],[d11,d10]) ).
cnf(d13,plain,
( 'some$uwelsh$ueat$unot'
| 'some$uscotch$udance' ),
inference(resolution,[status(thm)],[d6,c_4]) ).
cnf(d14,plain,
( 'some$uirish$ufight'
| ~ 'some$umonitors$uare$uawake' ),
inference(resolution,[status(thm)],[c_19,c_3]) ).
cnf(d15,plain,
'some$uirish$ufight',
inference(resolution,[status(thm)],[d8,d14]) ).
cnf(d16,plain,
( ~ 'some$uwelsh$ueat$unot'
| ~ 'some$ugermans$uplay$unot' ),
inference(resolution,[status(thm)],[d15,c_7]) ).
cnf(d17,plain,
( 'some$uscotch$udance'
| ~ 'some$ugermans$uplay$unot' ),
inference(resolution,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
( 'some$uscotch$udance'
| 'some$uscotch$udance' ),
inference(resolution,[status(thm)],[d17,d12]) ).
cnf(d19,plain,
~ 'some$uwelsh$ueat',
inference(resolution,[status(thm)],[d18,d9]) ).
cnf(d20,plain,
( 'some$uwelsh$ueat'
| ~ 'some$uscotch$udance' ),
inference(resolution,[status(thm)],[d15,c_1]) ).
cnf(d21,plain,
'some$uwelsh$ueat',
inference(resolution,[status(thm)],[d18,d20]) ).
cnf(d22,plain,
$false,
inference(resolution,[status(thm)],[d21,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ014-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 05:04:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.78/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 7.78/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------