%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ005-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 : 300s
% DateTime : Tue May 5 05:02:04 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 30
% Syntax : Number of clauses : 83 ( 16 unt; 10 nHn; 83 RR)
% Number of literals : 165 ( 0 equ; 110 neg)
% Maximal clause size : 4 ( 1 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 : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(admissions3,axiom,
( ~ member(X1,lying_days(X2))
| ~ admits(X2,X1,X3)
| ~ member(X3,lying_days(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions3) ).
cnf(admissions6,axiom,
admits(unicorn,today,yesterday(today)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions6) ).
cnf(admissions1,axiom,
( member(X1,lying_days(X2))
| member(X3,lying_days(X2))
| ~ admits(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions1) ).
cnf(unicorn_lies_on_friday,axiom,
( member(X1,lying_days(unicorn))
| ~ friday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_friday) ).
cnf(unicorn_lies_on_thursday,axiom,
( member(X1,lying_days(unicorn))
| ~ thursday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_thursday) ).
cnf(unicorns_lying_days,axiom,
( thursday(X1)
| friday(X1)
| saturday(X1)
| ~ member(X1,lying_days(unicorn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorns_lying_days) ).
cnf(unicorn_lies_on_saturday,axiom,
( member(X1,lying_days(unicorn))
| ~ saturday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_saturday) ).
cnf(yesterday_friday,axiom,
( friday(yesterday(X1))
| ~ saturday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_friday) ).
cnf(yesterday_thursday,axiom,
( thursday(yesterday(X1))
| ~ friday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_thursday) ).
cnf(prove_today_is_thursday,negated_conjecture,
~ thursday(today),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_today_is_thursday) ).
cnf(admissions5,axiom,
admits(lion,today,yesterday(today)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions5) ).
cnf(wednesday_not_saturday,axiom,
( ~ wednesday(X1)
| ~ saturday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_saturday) ).
cnf(wednesday_not_thursday,axiom,
( ~ wednesday(X1)
| ~ thursday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_thursday) ).
cnf(wednesday_not_friday,axiom,
( ~ wednesday(X1)
| ~ friday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_not_friday) ).
cnf(tuesday_not_saturday,axiom,
( ~ tuesday(X1)
| ~ saturday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_saturday) ).
cnf(tuesday_not_thursday,axiom,
( ~ tuesday(X1)
| ~ thursday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
cnf(tuesday_not_friday,axiom,
( ~ tuesday(X1)
| ~ friday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_friday) ).
cnf(monday_not_saturday,axiom,
( ~ monday(X1)
| ~ saturday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_saturday) ).
cnf(monday_not_thursday,axiom,
( ~ monday(X1)
| ~ thursday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_thursday) ).
cnf(monday_not_friday,axiom,
( ~ monday(X1)
| ~ friday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_friday) ).
cnf(lion_lies_on_tuesday,axiom,
( member(X1,lying_days(lion))
| ~ tuesday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_tuesday) ).
cnf(lion_lies_on_monday,axiom,
( member(X1,lying_days(lion))
| ~ monday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_monday) ).
cnf(saturday_not_sunday,axiom,
( ~ saturday(X1)
| ~ sunday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_not_sunday) ).
cnf(yesterday_sunday,axiom,
( sunday(yesterday(X1))
| ~ monday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_sunday) ).
cnf(thursday_not_sunday,axiom,
( ~ thursday(X1)
| ~ sunday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_not_sunday) ).
cnf(friday_not_sunday,axiom,
( ~ friday(X1)
| ~ sunday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_not_sunday) ).
cnf(lions_lying_days,axiom,
( monday(X1)
| tuesday(X1)
| wednesday(X1)
| ~ member(X1,lying_days(lion)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lions_lying_days) ).
cnf(lion_lies_on_wednesday,axiom,
( member(X1,lying_days(lion))
| ~ wednesday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_wednesday) ).
cnf(yesterday_tuesday,axiom,
( tuesday(yesterday(X1))
| ~ wednesday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_tuesday) ).
cnf(yesterday_monday,axiom,
( monday(yesterday(X1))
| ~ tuesday(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_monday) ).
cnf(c_0_30,axiom,
( ~ member(X1,lying_days(X2))
| ~ admits(X2,X1,X3)
| ~ member(X3,lying_days(X2)) ),
admissions3 ).
cnf(c_0_31,axiom,
admits(unicorn,today,yesterday(today)),
admissions6 ).
cnf(c_0_32,axiom,
( member(X1,lying_days(X2))
| member(X3,lying_days(X2))
| ~ admits(X2,X1,X3) ),
admissions1 ).
cnf(c_0_33,plain,
( ~ member(yesterday(today),lying_days(unicorn))
| ~ member(today,lying_days(unicorn)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,axiom,
( member(X1,lying_days(unicorn))
| ~ friday(X1) ),
unicorn_lies_on_friday ).
cnf(c_0_35,axiom,
( member(X1,lying_days(unicorn))
| ~ thursday(X1) ),
unicorn_lies_on_thursday ).
cnf(c_0_36,axiom,
( thursday(X1)
| friday(X1)
| saturday(X1)
| ~ member(X1,lying_days(unicorn)) ),
unicorns_lying_days ).
cnf(c_0_37,plain,
( member(yesterday(today),lying_days(unicorn))
| member(today,lying_days(unicorn)) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_38,plain,
( ~ member(today,lying_days(unicorn))
| ~ friday(yesterday(today)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,axiom,
( member(X1,lying_days(unicorn))
| ~ saturday(X1) ),
unicorn_lies_on_saturday ).
cnf(c_0_40,axiom,
( friday(yesterday(X1))
| ~ saturday(X1) ),
yesterday_friday ).
cnf(c_0_41,plain,
( ~ member(today,lying_days(unicorn))
| ~ thursday(yesterday(today)) ),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_42,axiom,
( thursday(yesterday(X1))
| ~ friday(X1) ),
yesterday_thursday ).
cnf(c_0_43,plain,
( member(today,lying_days(unicorn))
| saturday(yesterday(today))
| friday(yesterday(today))
| thursday(yesterday(today)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
~ saturday(today),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_45,plain,
~ friday(today),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_34]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
~ thursday(today),
prove_today_is_thursday ).
cnf(c_0_47,axiom,
admits(lion,today,yesterday(today)),
admissions5 ).
cnf(c_0_48,axiom,
( ~ wednesday(X1)
| ~ saturday(X1) ),
wednesday_not_saturday ).
cnf(c_0_49,plain,
( saturday(yesterday(today))
| friday(yesterday(today))
| thursday(yesterday(today)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_43]),c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_50,axiom,
( ~ wednesday(X1)
| ~ thursday(X1) ),
wednesday_not_thursday ).
cnf(c_0_51,axiom,
( ~ wednesday(X1)
| ~ friday(X1) ),
wednesday_not_friday ).
cnf(c_0_52,axiom,
( ~ tuesday(X1)
| ~ saturday(X1) ),
tuesday_not_saturday ).
cnf(c_0_53,axiom,
( ~ tuesday(X1)
| ~ thursday(X1) ),
tuesday_not_thursday ).
cnf(c_0_54,axiom,
( ~ tuesday(X1)
| ~ friday(X1) ),
tuesday_not_friday ).
cnf(c_0_55,axiom,
( ~ monday(X1)
| ~ saturday(X1) ),
monday_not_saturday ).
cnf(c_0_56,axiom,
( ~ monday(X1)
| ~ thursday(X1) ),
monday_not_thursday ).
cnf(c_0_57,axiom,
( ~ monday(X1)
| ~ friday(X1) ),
monday_not_friday ).
cnf(c_0_58,plain,
( ~ member(yesterday(today),lying_days(lion))
| ~ member(today,lying_days(lion)) ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
cnf(c_0_59,axiom,
( member(X1,lying_days(lion))
| ~ tuesday(X1) ),
lion_lies_on_tuesday ).
cnf(c_0_60,axiom,
( member(X1,lying_days(lion))
| ~ monday(X1) ),
lion_lies_on_monday ).
cnf(c_0_61,axiom,
( ~ saturday(X1)
| ~ sunday(X1) ),
saturday_not_sunday ).
cnf(c_0_62,axiom,
( sunday(yesterday(X1))
| ~ monday(X1) ),
yesterday_sunday ).
cnf(c_0_63,axiom,
( ~ thursday(X1)
| ~ sunday(X1) ),
thursday_not_sunday ).
cnf(c_0_64,axiom,
( ~ friday(X1)
| ~ sunday(X1) ),
friday_not_sunday ).
cnf(c_0_65,axiom,
( monday(X1)
| tuesday(X1)
| wednesday(X1)
| ~ member(X1,lying_days(lion)) ),
lions_lying_days ).
cnf(c_0_66,plain,
( member(yesterday(today),lying_days(lion))
| member(today,lying_days(lion)) ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_67,plain,
~ wednesday(yesterday(today)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_68,plain,
~ tuesday(yesterday(today)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_49]),c_0_53]),c_0_54]) ).
cnf(c_0_69,plain,
~ monday(yesterday(today)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_49]),c_0_56]),c_0_57]) ).
cnf(c_0_70,plain,
( ~ member(today,lying_days(lion))
| ~ tuesday(yesterday(today)) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_71,axiom,
( member(X1,lying_days(lion))
| ~ wednesday(X1) ),
lion_lies_on_wednesday ).
cnf(c_0_72,axiom,
( tuesday(yesterday(X1))
| ~ wednesday(X1) ),
yesterday_tuesday ).
cnf(c_0_73,plain,
( ~ member(today,lying_days(lion))
| ~ monday(yesterday(today)) ),
inference(spm,[status(thm)],[c_0_58,c_0_60]) ).
cnf(c_0_74,axiom,
( monday(yesterday(X1))
| ~ tuesday(X1) ),
yesterday_monday ).
cnf(c_0_75,plain,
( ~ saturday(yesterday(X1))
| ~ monday(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_76,plain,
( ~ thursday(yesterday(X1))
| ~ monday(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_77,plain,
( ~ friday(yesterday(X1))
| ~ monday(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_78,plain,
member(today,lying_days(lion)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]),c_0_68]),c_0_69]) ).
cnf(c_0_79,plain,
~ wednesday(today),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_80,plain,
~ tuesday(today),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_59]),c_0_74]) ).
cnf(c_0_81,plain,
~ monday(today),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_49]),c_0_76]),c_0_77]) ).
cnf(c_0_82,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_78]),c_0_79]),c_0_80]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ005-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:34:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------