%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:20:25 EDT 2022
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 24
% Syntax : Number of clauses : 83 ( 10 unt; 36 nHn; 83 RR)
% Number of literals : 212 ( 0 equ; 73 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 : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(monday_not_thursday,axiom,
( ~ monday(X)
| ~ thursday(X) ) ).
cnf(monday_not_saturday,axiom,
( ~ monday(X)
| ~ saturday(X) ) ).
cnf(monday_not_sunday,axiom,
( ~ monday(X)
| ~ sunday(X) ) ).
cnf(tuesday_not_saturday,axiom,
( ~ tuesday(X)
| ~ saturday(X) ) ).
cnf(tuesday_not_sunday,axiom,
( ~ tuesday(X)
| ~ sunday(X) ) ).
cnf(wednesday_not_friday,axiom,
( ~ wednesday(X)
| ~ friday(X) ) ).
cnf(wednesday_not_saturday,axiom,
( ~ wednesday(X)
| ~ saturday(X) ) ).
cnf(wednesday_not_sunday,axiom,
( ~ wednesday(X)
| ~ sunday(X) ) ).
cnf(thursday_not_sunday,axiom,
( ~ thursday(X)
| ~ sunday(X) ) ).
cnf(monday_yesterday,axiom,
( ~ monday(yesterday(X))
| tuesday(X) ) ).
cnf(tuesday_yesterday,axiom,
( ~ tuesday(yesterday(X))
| wednesday(X) ) ).
cnf(wednesday_yesterday,axiom,
( ~ wednesday(yesterday(X))
| thursday(X) ) ).
cnf(thursday_yesterday,axiom,
( ~ thursday(yesterday(X))
| friday(X) ) ).
cnf(friday_yesterday,axiom,
( ~ friday(yesterday(X))
| saturday(X) ) ).
cnf(saturday_yesterday,axiom,
( ~ saturday(yesterday(X))
| sunday(X) ) ).
cnf(yesterday_monday,axiom,
( monday(yesterday(X))
| ~ tuesday(X) ) ).
cnf(yesterday_thursday,axiom,
( thursday(yesterday(X))
| ~ friday(X) ) ).
cnf(yesterday_sunday,axiom,
( sunday(yesterday(X))
| ~ monday(X) ) ).
cnf(lions_lying_days,axiom,
( ~ member(X,lying_days(lion))
| monday(X)
| tuesday(X)
| wednesday(X) ) ).
cnf(unicorns_lying_days,axiom,
( ~ member(X,lying_days(unicorn))
| thursday(X)
| friday(X)
| saturday(X) ) ).
cnf(admissions1,axiom,
( member(X,lying_days(T))
| ~ admits(T,X,Y)
| member(Y,lying_days(T)) ) ).
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(refute_0_0,plain,
( ~ monday(today)
| sunday(yesterday(today)) ),
inference(subst,[],[yesterday_sunday:[bind(X,$fot(today))]]) ).
cnf(refute_0_1,plain,
( ~ tuesday(today)
| monday(yesterday(today)) ),
inference(subst,[],[yesterday_monday:[bind(X,$fot(today))]]) ).
cnf(refute_0_2,plain,
( ~ friday(today)
| ~ wednesday(today) ),
inference(subst,[],[wednesday_not_friday:[bind(X,$fot(today))]]) ).
cnf(refute_0_3,plain,
( ~ monday(yesterday(today))
| tuesday(today) ),
inference(subst,[],[monday_yesterday:[bind(X,$fot(today))]]) ).
cnf(refute_0_4,plain,
( ~ tuesday(yesterday(today))
| wednesday(today) ),
inference(subst,[],[tuesday_yesterday:[bind(X,$fot(today))]]) ).
cnf(refute_0_5,plain,
( ~ wednesday(yesterday(today))
| thursday(today) ),
inference(subst,[],[wednesday_yesterday:[bind(X,$fot(today))]]) ).
cnf(refute_0_6,plain,
( ~ member(today,lying_days(lion))
| monday(today)
| tuesday(today)
| wednesday(today) ),
inference(subst,[],[lions_lying_days:[bind(X,$fot(today))]]) ).
cnf(refute_0_7,plain,
( ~ member(yesterday(today),lying_days(lion))
| monday(yesterday(today))
| tuesday(yesterday(today))
| wednesday(yesterday(today)) ),
inference(subst,[],[lions_lying_days:[bind(X,$fot(yesterday(today)))]]) ).
cnf(refute_0_8,plain,
( ~ admits(lion,today,yesterday(today))
| member(today,lying_days(lion))
| member(yesterday(today),lying_days(lion)) ),
inference(subst,[],[admissions1:[bind(T,$fot(lion)),bind(X,$fot(today)),bind(Y,$fot(yesterday(today)))]]) ).
cnf(refute_0_9,plain,
( member(today,lying_days(lion))
| member(yesterday(today),lying_days(lion)) ),
inference(resolve,[$cnf( admits(lion,today,yesterday(today)) )],[admissions5,refute_0_8]) ).
cnf(refute_0_10,plain,
( member(today,lying_days(lion))
| monday(yesterday(today))
| tuesday(yesterday(today))
| wednesday(yesterday(today)) ),
inference(resolve,[$cnf( member(yesterday(today),lying_days(lion)) )],[refute_0_9,refute_0_7]) ).
cnf(refute_0_11,plain,
( monday(today)
| monday(yesterday(today))
| tuesday(today)
| tuesday(yesterday(today))
| wednesday(today)
| wednesday(yesterday(today)) ),
inference(resolve,[$cnf( member(today,lying_days(lion)) )],[refute_0_10,refute_0_6]) ).
cnf(refute_0_12,plain,
( monday(today)
| monday(yesterday(today))
| thursday(today)
| tuesday(today)
| tuesday(yesterday(today))
| wednesday(today) ),
inference(resolve,[$cnf( wednesday(yesterday(today)) )],[refute_0_11,refute_0_5]) ).
cnf(refute_0_13,plain,
( monday(today)
| monday(yesterday(today))
| tuesday(today)
| tuesday(yesterday(today))
| wednesday(today) ),
inference(resolve,[$cnf( thursday(today) )],[refute_0_12,prove_today_is_thursday]) ).
cnf(refute_0_14,plain,
( monday(today)
| monday(yesterday(today))
| tuesday(today)
| wednesday(today) ),
inference(resolve,[$cnf( tuesday(yesterday(today)) )],[refute_0_13,refute_0_4]) ).
cnf(refute_0_15,plain,
( monday(today)
| tuesday(today)
| wednesday(today) ),
inference(resolve,[$cnf( monday(yesterday(today)) )],[refute_0_14,refute_0_3]) ).
cnf(refute_0_16,plain,
( ~ friday(today)
| monday(today)
| tuesday(today) ),
inference(resolve,[$cnf( wednesday(today) )],[refute_0_15,refute_0_2]) ).
cnf(refute_0_17,plain,
( ~ friday(yesterday(today))
| saturday(today) ),
inference(subst,[],[friday_yesterday:[bind(X,$fot(today))]]) ).
cnf(refute_0_18,plain,
( ~ saturday(yesterday(today))
| sunday(today) ),
inference(subst,[],[saturday_yesterday:[bind(X,$fot(today))]]) ).
cnf(refute_0_19,plain,
( ~ thursday(yesterday(today))
| friday(today) ),
inference(subst,[],[thursday_yesterday:[bind(X,$fot(today))]]) ).
cnf(refute_0_20,plain,
( ~ member(today,lying_days(unicorn))
| friday(today)
| saturday(today)
| thursday(today) ),
inference(subst,[],[unicorns_lying_days:[bind(X,$fot(today))]]) ).
cnf(refute_0_21,plain,
( ~ member(yesterday(today),lying_days(unicorn))
| friday(yesterday(today))
| saturday(yesterday(today))
| thursday(yesterday(today)) ),
inference(subst,[],[unicorns_lying_days:[bind(X,$fot(yesterday(today)))]]) ).
cnf(refute_0_22,plain,
( ~ admits(unicorn,today,yesterday(today))
| member(today,lying_days(unicorn))
| member(yesterday(today),lying_days(unicorn)) ),
inference(subst,[],[admissions1:[bind(T,$fot(unicorn)),bind(X,$fot(today)),bind(Y,$fot(yesterday(today)))]]) ).
cnf(refute_0_23,plain,
( member(today,lying_days(unicorn))
| member(yesterday(today),lying_days(unicorn)) ),
inference(resolve,[$cnf( admits(unicorn,today,yesterday(today)) )],[admissions6,refute_0_22]) ).
cnf(refute_0_24,plain,
( friday(yesterday(today))
| member(today,lying_days(unicorn))
| saturday(yesterday(today))
| thursday(yesterday(today)) ),
inference(resolve,[$cnf( member(yesterday(today),lying_days(unicorn)) )],[refute_0_23,refute_0_21]) ).
cnf(refute_0_25,plain,
( friday(today)
| friday(yesterday(today))
| saturday(today)
| saturday(yesterday(today))
| thursday(today)
| thursday(yesterday(today)) ),
inference(resolve,[$cnf( member(today,lying_days(unicorn)) )],[refute_0_24,refute_0_20]) ).
cnf(refute_0_26,plain,
( friday(today)
| friday(yesterday(today))
| saturday(today)
| saturday(yesterday(today))
| thursday(yesterday(today)) ),
inference(resolve,[$cnf( thursday(today) )],[refute_0_25,prove_today_is_thursday]) ).
cnf(refute_0_27,plain,
( friday(today)
| friday(yesterday(today))
| saturday(today)
| saturday(yesterday(today)) ),
inference(resolve,[$cnf( thursday(yesterday(today)) )],[refute_0_26,refute_0_19]) ).
cnf(refute_0_28,plain,
( friday(today)
| friday(yesterday(today))
| saturday(today)
| sunday(today) ),
inference(resolve,[$cnf( saturday(yesterday(today)) )],[refute_0_27,refute_0_18]) ).
cnf(refute_0_29,plain,
( friday(today)
| saturday(today)
| sunday(today) ),
inference(resolve,[$cnf( friday(yesterday(today)) )],[refute_0_28,refute_0_17]) ).
cnf(refute_0_30,plain,
( ~ sunday(today)
| ~ tuesday(today) ),
inference(subst,[],[tuesday_not_sunday:[bind(X,$fot(today))]]) ).
cnf(refute_0_31,plain,
( ~ sunday(today)
| ~ wednesday(today) ),
inference(subst,[],[wednesday_not_sunday:[bind(X,$fot(today))]]) ).
cnf(refute_0_32,plain,
( ~ sunday(today)
| monday(today)
| tuesday(today) ),
inference(resolve,[$cnf( wednesday(today) )],[refute_0_15,refute_0_31]) ).
cnf(refute_0_33,plain,
( friday(today)
| monday(today)
| saturday(today)
| tuesday(today) ),
inference(resolve,[$cnf( sunday(today) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ sunday(today)
| friday(today)
| monday(today)
| saturday(today) ),
inference(resolve,[$cnf( tuesday(today) )],[refute_0_33,refute_0_30]) ).
cnf(refute_0_35,plain,
( friday(today)
| monday(today)
| saturday(today) ),
inference(resolve,[$cnf( sunday(today) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ saturday(today)
| ~ tuesday(today) ),
inference(subst,[],[tuesday_not_saturday:[bind(X,$fot(today))]]) ).
cnf(refute_0_37,plain,
( ~ saturday(today)
| ~ wednesday(today) ),
inference(subst,[],[wednesday_not_saturday:[bind(X,$fot(today))]]) ).
cnf(refute_0_38,plain,
( ~ saturday(today)
| monday(today)
| tuesday(today) ),
inference(resolve,[$cnf( wednesday(today) )],[refute_0_15,refute_0_37]) ).
cnf(refute_0_39,plain,
( friday(today)
| monday(today)
| tuesday(today) ),
inference(resolve,[$cnf( saturday(today) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ saturday(today)
| friday(today)
| monday(today) ),
inference(resolve,[$cnf( tuesday(today) )],[refute_0_39,refute_0_36]) ).
cnf(refute_0_41,plain,
( friday(today)
| monday(today) ),
inference(resolve,[$cnf( saturday(today) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ monday(today)
| ~ saturday(today) ),
inference(subst,[],[monday_not_saturday:[bind(X,$fot(today))]]) ).
cnf(refute_0_43,plain,
( ~ monday(today)
| ~ sunday(today) ),
inference(subst,[],[monday_not_sunday:[bind(X,$fot(today))]]) ).
cnf(refute_0_44,plain,
( ~ monday(today)
| friday(today)
| saturday(today) ),
inference(resolve,[$cnf( sunday(today) )],[refute_0_29,refute_0_43]) ).
cnf(refute_0_45,plain,
( friday(today)
| saturday(today) ),
inference(resolve,[$cnf( monday(today) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( ~ monday(today)
| friday(today) ),
inference(resolve,[$cnf( saturday(today) )],[refute_0_45,refute_0_42]) ).
cnf(refute_0_47,plain,
friday(today),
inference(resolve,[$cnf( monday(today) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
( monday(today)
| tuesday(today) ),
inference(resolve,[$cnf( friday(today) )],[refute_0_47,refute_0_16]) ).
cnf(refute_0_49,plain,
( monday(today)
| monday(yesterday(today)) ),
inference(resolve,[$cnf( tuesday(today) )],[refute_0_48,refute_0_1]) ).
cnf(refute_0_50,plain,
( ~ monday(yesterday(today))
| ~ thursday(yesterday(today)) ),
inference(subst,[],[monday_not_thursday:[bind(X,$fot(yesterday(today)))]]) ).
cnf(refute_0_51,plain,
( ~ friday(today)
| thursday(yesterday(today)) ),
inference(subst,[],[yesterday_thursday:[bind(X,$fot(today))]]) ).
cnf(refute_0_52,plain,
thursday(yesterday(today)),
inference(resolve,[$cnf( friday(today) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
~ monday(yesterday(today)),
inference(resolve,[$cnf( thursday(yesterday(today)) )],[refute_0_52,refute_0_50]) ).
cnf(refute_0_54,plain,
monday(today),
inference(resolve,[$cnf( monday(yesterday(today)) )],[refute_0_49,refute_0_53]) ).
cnf(refute_0_55,plain,
sunday(yesterday(today)),
inference(resolve,[$cnf( monday(today) )],[refute_0_54,refute_0_0]) ).
cnf(refute_0_56,plain,
( ~ sunday(yesterday(today))
| ~ thursday(yesterday(today)) ),
inference(subst,[],[thursday_not_sunday:[bind(X,$fot(yesterday(today)))]]) ).
cnf(refute_0_57,plain,
~ sunday(yesterday(today)),
inference(resolve,[$cnf( thursday(yesterday(today)) )],[refute_0_52,refute_0_56]) ).
cnf(refute_0_58,plain,
$false,
inference(resolve,[$cnf( sunday(yesterday(today)) )],[refute_0_55,refute_0_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : PUZ005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.09 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Sat May 28 21:16:25 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.09/0.28 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31
% 0.09/0.31 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.31
%------------------------------------------------------------------------------