TSTP Solution File: PUZ078+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 18:10:50 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 21
% Syntax : Number of formulae : 163 ( 48 unt; 0 def)
% Number of atoms : 439 ( 223 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 435 ( 159 ~; 231 |; 34 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 62 ( 2 sgn 26 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(tuesday_leo_tells_truths,conjecture,
truthday(tuesday),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tuesday_leo_tells_truths) ).
fof(statement1,axiom,
! [X1] :
( day1(X1)
=> ( truthday(X1)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',statement1) ).
fof(day1_once,axiom,
? [X1] : day1(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day1_once) ).
fof(truth_unique,axiom,
! [X1,X2] :
( ( truthday(X1)
& truthday(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',truth_unique) ).
fof(truth_once,axiom,
? [X1] : truthday(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',truth_once) ).
fof(statement3,axiom,
! [X1] :
( day3(X1)
=> ( truthday(X1)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',statement3) ).
fof(day3_once,axiom,
? [X1] : day3(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day3_once) ).
fof(uniquenames,axiom,
( monday != tuesday
& monday != wednesday
& monday != thursday
& monday != friday
& monday != saturday
& monday != sunday
& tuesday != wednesday
& tuesday != thursday
& tuesday != friday
& tuesday != saturday
& tuesday != sunday
& wednesday != thursday
& wednesday != friday
& wednesday != saturday
& wednesday != sunday
& thursday != friday
& thursday != saturday
& thursday != sunday
& friday != saturday
& friday != sunday
& saturday != sunday ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',uniquenames) ).
fof(day3_follows_day2,axiom,
! [X1] :
( day2(X1)
<=> day3(consecutive(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day3_follows_day2) ).
fof(monday_follows_sunday,axiom,
consecutive(sunday) = monday,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',monday_follows_sunday) ).
fof(day2_unique,axiom,
! [X1,X2] :
( ( day2(X1)
& day2(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day2_unique) ).
fof(day2_once,axiom,
? [X1] : day2(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day2_once) ).
fof(days_of_week,axiom,
! [X1] :
( X1 = monday
| X1 = tuesday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',days_of_week) ).
fof(statement2,axiom,
! [X1] :
( day2(X1)
=> ( truthday(X1)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',statement2) ).
fof(day2_follows_day1,axiom,
! [X1] :
( day1(X1)
<=> day2(consecutive(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day2_follows_day1) ).
fof(day3_unique,axiom,
! [X1,X2] :
( ( day3(X1)
& day3(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',day3_unique) ).
fof(tuesday_follows_monday,axiom,
consecutive(monday) = tuesday,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tuesday_follows_monday) ).
fof(sunday_follows_saturday,axiom,
consecutive(saturday) = sunday,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sunday_follows_saturday) ).
fof(saturday_follows_friday,axiom,
consecutive(friday) = saturday,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',saturday_follows_friday) ).
fof(friday_follows_thursday,axiom,
consecutive(thursday) = friday,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',friday_follows_thursday) ).
fof(thursday_follows_wednesday,axiom,
consecutive(wednesday) = thursday,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thursday_follows_wednesday) ).
fof(c_0_21,negated_conjecture,
~ truthday(tuesday),
inference(assume_negation,[status(cth)],[tuesday_leo_tells_truths]) ).
fof(c_0_22,plain,
! [X2] :
( ( ~ truthday(monday)
| ~ truthday(X2)
| ~ day1(X2) )
& ( ~ truthday(tuesday)
| ~ truthday(X2)
| ~ day1(X2) )
& ( truthday(monday)
| truthday(tuesday)
| truthday(X2)
| ~ day1(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[statement1])])])]) ).
fof(c_0_23,negated_conjecture,
~ truthday(tuesday),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( truthday(X1)
| truthday(tuesday)
| truthday(monday)
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ truthday(tuesday),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_26,plain,
day1(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day1_once])]) ).
fof(c_0_27,plain,
! [X3,X4] :
( ~ truthday(X3)
| ~ truthday(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[truth_unique])]) ).
fof(c_0_28,plain,
truthday(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[truth_once])]) ).
fof(c_0_29,plain,
! [X2] :
( ( ~ truthday(wednesday)
| ~ truthday(X2)
| ~ day3(X2) )
& ( ~ truthday(friday)
| ~ truthday(X2)
| ~ day3(X2) )
& ( truthday(wednesday)
| truthday(friday)
| truthday(X2)
| ~ day3(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[statement3])])])]) ).
fof(c_0_30,plain,
day3(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day3_once])]) ).
cnf(c_0_31,plain,
( truthday(monday)
| truthday(X1)
| ~ day1(X1) ),
inference(sr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
day1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( X1 = X2
| ~ truthday(X2)
| ~ truthday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
truthday(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( truthday(X1)
| truthday(friday)
| truthday(wednesday)
| ~ day3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,plain,
day3(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( truthday(esk3_0)
| truthday(monday) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( X1 = esk1_0
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( truthday(esk4_0)
| truthday(wednesday)
| truthday(friday) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( X1 = monday
| truthday(esk3_0)
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_41,plain,
( friday = esk1_0
| truthday(wednesday)
| truthday(esk4_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
monday != wednesday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_43,plain,
( monday = esk1_0
| truthday(esk3_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
fof(c_0_44,plain,
! [X2,X2] :
( ( ~ day2(X2)
| day3(consecutive(X2)) )
& ( ~ day3(consecutive(X2))
| day2(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day3_follows_day2])])])]) ).
cnf(c_0_45,plain,
( friday = esk1_0
| truthday(esk4_0)
| truthday(esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_46,plain,
monday != friday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_47,plain,
( monday = esk1_0
| esk3_0 = esk1_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_48,plain,
( day2(X1)
| ~ day3(consecutive(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
consecutive(sunday) = monday,
inference(split_conjunct,[status(thm)],[monday_follows_sunday]) ).
cnf(c_0_50,plain,
( friday = esk1_0
| monday = esk4_0
| truthday(esk3_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_51,plain,
( esk3_0 = esk1_0
| friday != esk1_0 ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_52,plain,
! [X3,X4] :
( ~ day2(X3)
| ~ day2(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day2_unique])]) ).
fof(c_0_53,plain,
day2(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day2_once])]) ).
fof(c_0_54,plain,
! [X2] :
( X2 = monday
| X2 = tuesday
| X2 = wednesday
| X2 = thursday
| X2 = friday
| X2 = saturday
| X2 = sunday ),
inference(variable_rename,[status(thm)],[days_of_week]) ).
fof(c_0_55,plain,
! [X2] :
( ( ~ truthday(X2)
| day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ day2(X2) )
& ( ~ day2(thursday)
| truthday(X2)
| ~ day2(X2) )
& ( ~ day2(saturday)
| truthday(X2)
| ~ day2(X2) )
& ( ~ day2(sunday)
| truthday(X2)
| ~ day2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[statement2])])]) ).
cnf(c_0_56,plain,
( day2(sunday)
| ~ day3(monday) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,plain,
( monday = esk4_0
| esk3_0 = esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_50]),c_0_51]) ).
cnf(c_0_58,plain,
( X1 = X2
| ~ day2(X2)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,plain,
day2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,plain,
( X1 = sunday
| X1 = saturday
| X1 = friday
| X1 = thursday
| X1 = wednesday
| X1 = tuesday
| X1 = monday ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_61,plain,
( truthday(X1)
| ~ day2(X1)
| ~ day2(sunday) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,plain,
( esk3_0 = esk1_0
| day2(sunday) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_36])]) ).
cnf(c_0_63,plain,
monday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_64,plain,
( X1 = esk2_0
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_65,plain,
! [X2,X2] :
( ( ~ day1(X2)
| day2(consecutive(X2)) )
& ( ~ day2(consecutive(X2))
| day1(X2) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day2_follows_day1])])])]) ).
cnf(c_0_66,plain,
( ~ day1(X1)
| ~ truthday(X1)
| ~ truthday(monday) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_67,negated_conjecture,
( X1 = monday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_60]) ).
cnf(c_0_68,plain,
( esk3_0 = esk1_0
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
( esk3_0 = esk1_0
| sunday != esk1_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_47]) ).
cnf(c_0_70,plain,
( esk3_0 = esk1_0
| sunday = esk2_0 ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_71,plain,
( day2(consecutive(X1))
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_72,plain,
! [X3,X4] :
( ~ day3(X3)
| ~ day3(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day3_unique])]) ).
cnf(c_0_73,plain,
( ~ truthday(monday)
| ~ truthday(esk3_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_32]) ).
cnf(c_0_74,negated_conjecture,
( sunday = esk1_0
| saturday = esk1_0
| friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0
| monday = esk1_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_34]) ).
cnf(c_0_75,plain,
( esk3_0 = esk1_0
| truthday(esk2_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_59]) ).
cnf(c_0_76,plain,
( esk3_0 = esk1_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,plain,
day2(consecutive(esk3_0)),
inference(spm,[status(thm)],[c_0_71,c_0_32]) ).
cnf(c_0_78,plain,
( X1 = X2
| ~ day3(X2)
| ~ day3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
( day3(consecutive(X1))
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_80,plain,
consecutive(monday) = tuesday,
inference(split_conjunct,[status(thm)],[tuesday_follows_monday]) ).
cnf(c_0_81,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| friday = esk1_0
| saturday = esk1_0
| sunday = esk1_0
| ~ truthday(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_34])]) ).
cnf(c_0_82,plain,
esk3_0 = esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_75]),c_0_76]) ).
cnf(c_0_83,plain,
consecutive(esk3_0) = esk2_0,
inference(spm,[status(thm)],[c_0_64,c_0_77]) ).
cnf(c_0_84,plain,
( X1 = esk4_0
| ~ day3(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_36]) ).
cnf(c_0_85,plain,
( day3(tuesday)
| ~ day2(monday) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,negated_conjecture,
( sunday = esk1_0
| saturday = esk1_0
| friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82]),c_0_34])]) ).
cnf(c_0_87,plain,
consecutive(esk1_0) = esk2_0,
inference(rw,[status(thm)],[c_0_83,c_0_82]) ).
cnf(c_0_88,plain,
( tuesday = esk4_0
| ~ day2(monday) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| friday = esk1_0
| saturday = esk1_0
| monday = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_86]),c_0_87]) ).
cnf(c_0_90,plain,
tuesday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_91,negated_conjecture,
( saturday = esk1_0
| friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0
| tuesday = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_59])]) ).
cnf(c_0_92,plain,
( friday = esk1_0
| wednesday = esk1_0
| truthday(esk4_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_41]) ).
cnf(c_0_93,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| friday = esk1_0
| saturday = esk1_0
| sunday != esk4_0 ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_94,plain,
( wednesday = esk1_0
| friday = esk1_0
| esk4_0 = esk1_0 ),
inference(spm,[status(thm)],[c_0_38,c_0_92]) ).
cnf(c_0_95,plain,
( day3(monday)
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_79,c_0_49]) ).
cnf(c_0_96,plain,
consecutive(saturday) = sunday,
inference(split_conjunct,[status(thm)],[sunday_follows_saturday]) ).
cnf(c_0_97,negated_conjecture,
( saturday = esk1_0
| friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_86]),c_0_94]) ).
cnf(c_0_98,plain,
( monday = esk4_0
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_84,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| friday = esk1_0
| sunday = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_87]) ).
cnf(c_0_100,plain,
monday != saturday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_101,negated_conjecture,
( friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0
| monday = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_59])]) ).
cnf(c_0_102,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| friday = esk1_0
| saturday != esk4_0 ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,plain,
( day3(sunday)
| ~ day2(saturday) ),
inference(spm,[status(thm)],[c_0_79,c_0_96]) ).
cnf(c_0_104,plain,
consecutive(friday) = saturday,
inference(split_conjunct,[status(thm)],[saturday_follows_friday]) ).
cnf(c_0_105,negated_conjecture,
( friday = esk1_0
| thursday = esk1_0
| wednesday = esk1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_97]),c_0_94]) ).
cnf(c_0_106,plain,
( sunday = esk4_0
| ~ day2(saturday) ),
inference(spm,[status(thm)],[c_0_84,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| saturday = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_87]) ).
cnf(c_0_108,plain,
friday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_109,negated_conjecture,
( thursday = esk1_0
| wednesday = esk1_0
| sunday = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_59])]) ).
cnf(c_0_110,negated_conjecture,
( wednesday = esk1_0
| thursday = esk1_0
| friday != esk4_0 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_111,plain,
( consecutive(esk1_0) = saturday
| esk4_0 = esk1_0
| wednesday = esk1_0 ),
inference(spm,[status(thm)],[c_0_104,c_0_94]) ).
cnf(c_0_112,plain,
( day3(saturday)
| ~ day2(friday) ),
inference(spm,[status(thm)],[c_0_79,c_0_104]) ).
cnf(c_0_113,plain,
consecutive(thursday) = friday,
inference(split_conjunct,[status(thm)],[friday_follows_thursday]) ).
cnf(c_0_114,negated_conjecture,
( thursday = esk1_0
| wednesday = esk1_0
| esk4_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_105]) ).
cnf(c_0_115,plain,
( wednesday = esk1_0
| esk4_0 = esk1_0
| saturday = esk2_0 ),
inference(spm,[status(thm)],[c_0_111,c_0_87]) ).
cnf(c_0_116,plain,
friday != saturday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_117,plain,
( saturday = esk4_0
| ~ day2(friday) ),
inference(spm,[status(thm)],[c_0_84,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( wednesday = esk1_0
| friday = esk2_0
| esk4_0 != esk1_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_87]) ).
cnf(c_0_119,plain,
thursday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_120,plain,
( esk4_0 = esk1_0
| wednesday = esk1_0
| sunday = esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_115]),c_0_59])]) ).
cnf(c_0_121,plain,
( esk4_0 = esk1_0
| wednesday = esk1_0
| friday != esk2_0 ),
inference(spm,[status(thm)],[c_0_116,c_0_115]) ).
cnf(c_0_122,plain,
thursday != saturday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_123,negated_conjecture,
( wednesday = esk1_0
| saturday = esk4_0
| esk4_0 != esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_59])]) ).
cnf(c_0_124,plain,
( wednesday = esk1_0
| esk4_0 = esk1_0
| thursday != esk4_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
consecutive(wednesday) = thursday,
inference(split_conjunct,[status(thm)],[thursday_follows_wednesday]) ).
cnf(c_0_126,plain,
( wednesday = esk1_0
| esk4_0 = esk1_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_121,c_0_94]) ).
cnf(c_0_127,plain,
( ~ day3(X1)
| ~ truthday(X1)
| ~ truthday(wednesday) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_128,negated_conjecture,
( wednesday = esk1_0
| thursday != esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_129,plain,
( day1(X1)
| ~ day2(consecutive(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_130,plain,
( day2(sunday)
| day2(saturday)
| day2(thursday)
| ~ day2(X1)
| ~ truthday(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_131,plain,
wednesday != thursday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_132,plain,
( esk4_0 = esk1_0
| thursday = esk2_0
| esk2_0 != esk1_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_87]) ).
cnf(c_0_133,plain,
( ~ truthday(wednesday)
| ~ truthday(esk4_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_36]) ).
cnf(c_0_134,negated_conjecture,
( wednesday = esk1_0
| esk4_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_128,c_0_114]) ).
cnf(c_0_135,plain,
( truthday(monday)
| truthday(X1)
| ~ day2(consecutive(X1)) ),
inference(spm,[status(thm)],[c_0_31,c_0_129]) ).
cnf(c_0_136,plain,
( day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ truthday(esk2_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_59]) ).
cnf(c_0_137,plain,
( truthday(X1)
| ~ day2(X1)
| ~ day2(saturday) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_138,plain,
( truthday(X1)
| ~ day2(X1)
| ~ day2(thursday) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_139,plain,
( esk4_0 = esk1_0
| wednesday != esk2_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_140,negated_conjecture,
~ truthday(esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_34])]),c_0_38]) ).
cnf(c_0_141,plain,
( ~ day3(X1)
| ~ truthday(X1)
| ~ truthday(friday) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_142,plain,
( day3(friday)
| ~ day2(thursday) ),
inference(spm,[status(thm)],[c_0_79,c_0_113]) ).
cnf(c_0_143,plain,
( truthday(saturday)
| truthday(monday)
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_135,c_0_96]) ).
cnf(c_0_144,plain,
~ truthday(monday),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_82]),c_0_34])]) ).
cnf(c_0_145,plain,
( truthday(X1)
| ~ day2(X1)
| ~ truthday(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_136]),c_0_137]),c_0_138]) ).
cnf(c_0_146,plain,
( esk4_0 = esk1_0
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_139,c_0_126]) ).
cnf(c_0_147,plain,
( truthday(friday)
| truthday(wednesday) ),
inference(sr,[status(thm)],[c_0_39,c_0_140]) ).
cnf(c_0_148,plain,
( ~ day2(thursday)
| ~ truthday(friday) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_149,plain,
( day2(thursday)
| truthday(saturday)
| ~ truthday(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_136]),c_0_144]),c_0_145]) ).
cnf(c_0_150,plain,
( wednesday = esk1_0
| friday = esk1_0 ),
inference(sr,[status(thm)],[c_0_92,c_0_140]) ).
cnf(c_0_151,plain,
( day3(esk1_0)
| esk2_0 != esk1_0 ),
inference(spm,[status(thm)],[c_0_36,c_0_146]) ).
cnf(c_0_152,plain,
( X1 = friday
| truthday(wednesday)
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_147]) ).
cnf(c_0_153,plain,
( truthday(saturday)
| ~ truthday(friday)
| ~ truthday(esk2_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_154,plain,
( wednesday = esk1_0
| saturday = esk2_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_150]),c_0_87]) ).
cnf(c_0_155,plain,
( esk2_0 != esk1_0
| ~ truthday(wednesday) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_151]),c_0_34])]) ).
cnf(c_0_156,plain,
( truthday(wednesday)
| ~ truthday(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_116]),c_0_147]) ).
cnf(c_0_157,plain,
( wednesday = esk1_0
| truthday(X1)
| ~ day2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_154]),c_0_59])]) ).
cnf(c_0_158,plain,
~ truthday(esk2_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_38]) ).
cnf(c_0_159,plain,
wednesday = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_59]),c_0_158]) ).
cnf(c_0_160,plain,
thursday = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_159]),c_0_87]) ).
cnf(c_0_161,plain,
( truthday(X1)
| ~ day2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_160]),c_0_59])]) ).
cnf(c_0_162,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_59]),c_0_158]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ078+1 : TPTP v8.1.0. Released v3.5.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat May 28 21:43:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.015 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 163
% 0.23/1.41 # Proof object clause steps : 127
% 0.23/1.41 # Proof object formula steps : 36
% 0.23/1.41 # Proof object conjectures : 25
% 0.23/1.41 # Proof object clause conjectures : 22
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 38
% 0.23/1.41 # Proof object initial formulas used : 21
% 0.23/1.41 # Proof object generating inferences : 81
% 0.23/1.41 # Proof object simplifying inferences : 57
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 23
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 52
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 52
% 0.23/1.41 # Processed clauses : 1980
% 0.23/1.41 # ...of these trivial : 15
% 0.23/1.41 # ...subsumed : 1190
% 0.23/1.41 # ...remaining for further processing : 775
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 272
% 0.23/1.41 # Backward-rewritten : 378
% 0.23/1.41 # Generated clauses : 9039
% 0.23/1.41 # ...of the previous two non-trivial : 8069
% 0.23/1.41 # Contextual simplify-reflections : 957
% 0.23/1.41 # Paramodulations : 8879
% 0.23/1.41 # Factorizations : 155
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 120
% 0.23/1.41 # Positive orientable unit clauses : 15
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 26
% 0.23/1.41 # Non-unit-clauses : 79
% 0.23/1.41 # Current number of unprocessed clauses: 141
% 0.23/1.41 # ...number of literals in the above : 582
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 655
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 105158
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 39306
% 0.23/1.41 # Non-unit clause-clause subsumptions : 2021
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1966
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 6
% 0.23/1.41 # BW rewrite match successes : 6
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 83406
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.181 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.183 s
% 0.23/1.41 # Maximum resident set size: 5164 pages
%------------------------------------------------------------------------------