%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ005-1 : 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 : n002.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 08:21:31 AM UTC 2026
% Result : Unsatisfiable 11.26s 1.89s
% Output : CNFRefutation 11.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of clauses : 89 ( 11 unt; 25 nHn; 89 RR)
% Number of literals : 207 ( 0 equ; 86 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(monday_not_saturday,axiom,
( ~ saturday(X0)
| ~ monday(X0) ) ).
cnf(monday_not_sunday,axiom,
( ~ sunday(X0)
| ~ monday(X0) ) ).
cnf(tuesday_yesterday,axiom,
( wednesday(X0)
| ~ tuesday(yesterday(X0)) ) ).
cnf(wednesday_yesterday,axiom,
( thursday(X0)
| ~ wednesday(yesterday(X0)) ) ).
cnf(thursday_yesterday,axiom,
( friday(X0)
| ~ thursday(yesterday(X0)) ) ).
cnf(friday_yesterday,axiom,
( saturday(X0)
| ~ friday(yesterday(X0)) ) ).
cnf(saturday_yesterday,axiom,
( sunday(X0)
| ~ saturday(yesterday(X0)) ) ).
cnf(yesterday_monday,axiom,
( ~ tuesday(X0)
| monday(yesterday(X0)) ) ).
cnf(yesterday_tuesday,axiom,
( ~ wednesday(X0)
| tuesday(yesterday(X0)) ) ).
cnf(yesterday_thursday,axiom,
( ~ friday(X0)
| thursday(yesterday(X0)) ) ).
cnf(yesterday_friday,axiom,
( ~ saturday(X0)
| friday(yesterday(X0)) ) ).
cnf(yesterday_saturday,axiom,
( ~ sunday(X0)
| saturday(yesterday(X0)) ) ).
cnf(lions_lying_days,axiom,
( wednesday(X0)
| tuesday(X0)
| monday(X0)
| ~ member(X0,'lying$udays'(lion)) ) ).
cnf(unicorns_lying_days,axiom,
( saturday(X0)
| friday(X0)
| thursday(X0)
| ~ member(X0,'lying$udays'(unicorn)) ) ).
cnf(lion_lies_on_monday,axiom,
( member(X0,'lying$udays'(lion))
| ~ monday(X0) ) ).
cnf(lion_lies_on_tuesday,axiom,
( member(X0,'lying$udays'(lion))
| ~ tuesday(X0) ) ).
cnf(lion_lies_on_wednesday,axiom,
( member(X0,'lying$udays'(lion))
| ~ wednesday(X0) ) ).
cnf(unicorn_lies_on_thursday,axiom,
( member(X0,'lying$udays'(unicorn))
| ~ thursday(X0) ) ).
cnf(unicorn_lies_on_friday,axiom,
( member(X0,'lying$udays'(unicorn))
| ~ friday(X0) ) ).
cnf(unicorn_lies_on_saturday,axiom,
( member(X0,'lying$udays'(unicorn))
| ~ saturday(X0) ) ).
cnf(admissions1,axiom,
( member(X2,'lying$udays'(X1))
| ~ admits(X1,X0,X2)
| member(X0,'lying$udays'(X1)) ) ).
cnf(admissions3,axiom,
( ~ member(X2,'lying$udays'(X1))
| ~ admits(X1,X0,X2)
| ~ member(X0,'lying$udays'(X1)) ) ).
cnf(admissions5,axiom,
admits(lion,today,yesterday(today)) ).
cnf(admissions6,axiom,
admits(unicorn,today,yesterday(today)) ).
cnf(prove_today_is_thursday,negated_conjecture,
~ thursday(today) ).
cnf(c5,plain,
( ~ saturday(X0)
| ~ monday(X0) ),
inference(clausification,[status(esa)],[monday_not_saturday]) ).
cnf(c6,plain,
( ~ sunday(X0)
| ~ monday(X0) ),
inference(clausification,[status(esa)],[monday_not_sunday]) ).
cnf(c23,plain,
( wednesday(X0)
| ~ tuesday(yesterday(X0)) ),
inference(clausification,[status(esa)],[tuesday_yesterday]) ).
cnf(c24,plain,
( thursday(X0)
| ~ wednesday(yesterday(X0)) ),
inference(clausification,[status(esa)],[wednesday_yesterday]) ).
cnf(c25,plain,
( friday(X0)
| ~ thursday(yesterday(X0)) ),
inference(clausification,[status(esa)],[thursday_yesterday]) ).
cnf(c26,plain,
( saturday(X0)
| ~ friday(yesterday(X0)) ),
inference(clausification,[status(esa)],[friday_yesterday]) ).
cnf(c27,plain,
( sunday(X0)
| ~ saturday(yesterday(X0)) ),
inference(clausification,[status(esa)],[saturday_yesterday]) ).
cnf(c29,plain,
( ~ tuesday(X0)
| monday(yesterday(X0)) ),
inference(clausification,[status(esa)],[yesterday_monday]) ).
cnf(c30,plain,
( ~ wednesday(X0)
| tuesday(yesterday(X0)) ),
inference(clausification,[status(esa)],[yesterday_tuesday]) ).
cnf(c32,plain,
( ~ friday(X0)
| thursday(yesterday(X0)) ),
inference(clausification,[status(esa)],[yesterday_thursday]) ).
cnf(c33,plain,
( ~ saturday(X0)
| friday(yesterday(X0)) ),
inference(clausification,[status(esa)],[yesterday_friday]) ).
cnf(c34,plain,
( ~ sunday(X0)
| saturday(yesterday(X0)) ),
inference(clausification,[status(esa)],[yesterday_saturday]) ).
cnf(c36,plain,
( wednesday(X0)
| tuesday(X0)
| monday(X0)
| ~ member(X0,'lying$udays'(lion)) ),
inference(clausification,[status(esa)],[lions_lying_days]) ).
cnf(c37,plain,
( saturday(X0)
| friday(X0)
| thursday(X0)
| ~ member(X0,'lying$udays'(unicorn)) ),
inference(clausification,[status(esa)],[unicorns_lying_days]) ).
cnf(c38,plain,
( member(X0,'lying$udays'(lion))
| ~ monday(X0) ),
inference(clausification,[status(esa)],[lion_lies_on_monday]) ).
cnf(c39,plain,
( member(X0,'lying$udays'(lion))
| ~ tuesday(X0) ),
inference(clausification,[status(esa)],[lion_lies_on_tuesday]) ).
cnf(c40,plain,
( member(X0,'lying$udays'(lion))
| ~ wednesday(X0) ),
inference(clausification,[status(esa)],[lion_lies_on_wednesday]) ).
cnf(c41,plain,
( member(X0,'lying$udays'(unicorn))
| ~ thursday(X0) ),
inference(clausification,[status(esa)],[unicorn_lies_on_thursday]) ).
cnf(c42,plain,
( member(X0,'lying$udays'(unicorn))
| ~ friday(X0) ),
inference(clausification,[status(esa)],[unicorn_lies_on_friday]) ).
cnf(c43,plain,
( member(X0,'lying$udays'(unicorn))
| ~ saturday(X0) ),
inference(clausification,[status(esa)],[unicorn_lies_on_saturday]) ).
cnf(c44,plain,
( member(X2,'lying$udays'(X1))
| ~ admits(X1,X0,X2)
| member(X0,'lying$udays'(X1)) ),
inference(clausification,[status(esa)],[admissions1]) ).
cnf(c46,plain,
( ~ member(X2,'lying$udays'(X1))
| ~ admits(X1,X0,X2)
| ~ member(X0,'lying$udays'(X1)) ),
inference(clausification,[status(esa)],[admissions3]) ).
cnf(c48,plain,
admits(lion,today,yesterday(today)),
inference(clausification,[status(esa)],[admissions5]) ).
cnf(c49,plain,
admits(unicorn,today,yesterday(today)),
inference(clausification,[status(esa)],[admissions6]) ).
cnf(c50,plain,
~ thursday(today),
inference(clausification,[status(esa)],[prove_today_is_thursday]) ).
cnf(d0,plain,
( ~ monday(yesterday(X0))
| ~ sunday(X0) ),
inference(resolution,[status(thm)],[c34,c5]) ).
cnf(d1,plain,
( member(today,'lying$udays'(lion))
| member(yesterday(today),'lying$udays'(lion)) ),
inference(resolution,[status(thm)],[c44,c48]) ).
cnf(d2,plain,
( wednesday(yesterday(today))
| tuesday(yesterday(today))
| monday(yesterday(today))
| member(today,'lying$udays'(lion)) ),
inference(resolution,[status(thm)],[d1,c36]) ).
cnf(d3,plain,
( wednesday(today)
| tuesday(today)
| monday(today)
| wednesday(yesterday(today))
| tuesday(yesterday(today))
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d2,c36]) ).
cnf(d4,plain,
( ~ member(today,'lying$udays'(lion))
| ~ member(yesterday(today),'lying$udays'(lion)) ),
inference(resolution,[status(thm)],[c46,c48]) ).
cnf(d5,plain,
( ~ tuesday(yesterday(today))
| ~ member(today,'lying$udays'(lion)) ),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
( ~ wednesday(today)
| ~ tuesday(yesterday(today)) ),
inference(resolution,[status(thm)],[d5,c40]) ).
cnf(d7,plain,
( ~ wednesday(today)
| ~ wednesday(today) ),
inference(resolution,[status(thm)],[d6,c30]) ).
cnf(d8,plain,
( wednesday(yesterday(today))
| tuesday(today)
| tuesday(yesterday(today))
| monday(today)
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
( ~ monday(yesterday(today))
| ~ member(today,'lying$udays'(lion)) ),
inference(resolution,[status(thm)],[d4,c38]) ).
cnf(d10,plain,
( ~ tuesday(today)
| ~ monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d9,c39]) ).
cnf(d11,plain,
( ~ tuesday(today)
| ~ tuesday(today) ),
inference(resolution,[status(thm)],[d10,c29]) ).
cnf(d12,plain,
( wednesday(yesterday(today))
| tuesday(yesterday(today))
| monday(today)
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
( thursday(today)
| tuesday(yesterday(today))
| monday(today)
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d12,c24]) ).
cnf(d14,plain,
( tuesday(yesterday(today))
| monday(today)
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[c50,d13]) ).
cnf(d15,plain,
( member(today,'lying$udays'(unicorn))
| member(yesterday(today),'lying$udays'(unicorn)) ),
inference(resolution,[status(thm)],[c44,c49]) ).
cnf(d16,plain,
( thursday(yesterday(today))
| saturday(yesterday(today))
| friday(yesterday(today))
| member(today,'lying$udays'(unicorn)) ),
inference(resolution,[status(thm)],[d15,c37]) ).
cnf(d17,plain,
( thursday(today)
| saturday(today)
| friday(today)
| thursday(yesterday(today))
| saturday(yesterday(today))
| friday(yesterday(today)) ),
inference(resolution,[status(thm)],[d16,c37]) ).
cnf(d18,plain,
( thursday(yesterday(today))
| saturday(today)
| saturday(yesterday(today))
| friday(today)
| friday(yesterday(today)) ),
inference(resolution,[status(thm)],[c50,d17]) ).
cnf(d19,plain,
( ~ member(today,'lying$udays'(unicorn))
| ~ member(yesterday(today),'lying$udays'(unicorn)) ),
inference(resolution,[status(thm)],[c46,c49]) ).
cnf(d20,plain,
( ~ friday(yesterday(today))
| ~ member(today,'lying$udays'(unicorn)) ),
inference(resolution,[status(thm)],[d19,c42]) ).
cnf(d21,plain,
( ~ saturday(today)
| ~ friday(yesterday(today)) ),
inference(resolution,[status(thm)],[d20,c43]) ).
cnf(d22,plain,
( ~ saturday(today)
| ~ saturday(today) ),
inference(resolution,[status(thm)],[d21,c33]) ).
cnf(d23,plain,
( thursday(yesterday(today))
| saturday(yesterday(today))
| friday(today)
| friday(yesterday(today)) ),
inference(resolution,[status(thm)],[d22,d18]) ).
cnf(d24,plain,
( ~ thursday(yesterday(today))
| ~ member(today,'lying$udays'(unicorn)) ),
inference(resolution,[status(thm)],[d19,c41]) ).
cnf(d25,plain,
( ~ friday(today)
| ~ thursday(yesterday(today)) ),
inference(resolution,[status(thm)],[d24,c42]) ).
cnf(d26,plain,
( ~ friday(today)
| ~ friday(today) ),
inference(resolution,[status(thm)],[d25,c32]) ).
cnf(d27,plain,
( thursday(yesterday(today))
| saturday(yesterday(today))
| friday(yesterday(today)) ),
inference(resolution,[status(thm)],[d26,d23]) ).
cnf(d28,plain,
( sunday(today)
| thursday(yesterday(today))
| friday(yesterday(today)) ),
inference(resolution,[status(thm)],[d27,c27]) ).
cnf(d29,plain,
( saturday(today)
| thursday(yesterday(today))
| sunday(today) ),
inference(resolution,[status(thm)],[d28,c26]) ).
cnf(d30,plain,
( thursday(yesterday(today))
| sunday(today) ),
inference(resolution,[status(thm)],[d22,d29]) ).
cnf(d31,plain,
( friday(today)
| sunday(today) ),
inference(resolution,[status(thm)],[d30,c25]) ).
cnf(d32,plain,
sunday(today),
inference(resolution,[status(thm)],[d26,d31]) ).
cnf(d33,plain,
~ monday(today),
inference(resolution,[status(thm)],[d32,c6]) ).
cnf(d34,plain,
( tuesday(yesterday(today))
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d33,d14]) ).
cnf(d35,plain,
( wednesday(today)
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[d34,c23]) ).
cnf(d36,plain,
monday(yesterday(today)),
inference(resolution,[status(thm)],[d7,d35]) ).
cnf(d37,plain,
~ sunday(today),
inference(resolution,[status(thm)],[d36,d0]) ).
cnf(d38,plain,
$false,
inference(resolution,[status(thm)],[d32,d37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 05:05:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.26/1.89 % SZS status Unsatisfiable for theBenchmark.p
% 11.26/1.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------