TSTP Solution File: PUZ078+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:13:01 EDT 2023
% Result : Theorem 0.16s 0.69s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 22
% Syntax : Number of formulae : 142 ( 42 unt; 0 def)
% Number of atoms : 387 ( 185 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 377 ( 132 ~; 192 |; 37 &)
% ( 7 <=>; 9 =>; 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 : 66 ( 0 sgn; 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(statement1,axiom,
! [X1] :
( day1(X1)
=> ( truthday(X1)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',statement1) ).
fof(tuesday_leo_tells_truths,conjecture,
truthday(tuesday),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',tuesday_leo_tells_truths) ).
fof(truth_unique,axiom,
! [X1,X2] :
( ( truthday(X1)
& truthday(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',truth_unique) ).
fof(truth_once,axiom,
? [X1] : truthday(X1),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',truth_once) ).
fof(day1_once,axiom,
? [X1] : day1(X1),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day1_once) ).
fof(statement3,axiom,
! [X1] :
( day3(X1)
=> ( truthday(X1)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',statement3) ).
fof(day3_once,axiom,
? [X1] : day3(X1),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',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/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',uniquenames) ).
fof(day1_unique,axiom,
! [X1,X2] :
( ( day1(X1)
& day1(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day1_unique) ).
fof(day2_follows_day1,axiom,
! [X1] :
( day1(X1)
<=> day2(consecutive(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day2_follows_day1) ).
fof(day3_follows_day2,axiom,
! [X1] :
( day2(X1)
<=> day3(consecutive(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day3_follows_day2) ).
fof(sunday_follows_saturday,axiom,
consecutive(saturday) = sunday,
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',sunday_follows_saturday) ).
fof(monday_follows_sunday,axiom,
consecutive(sunday) = monday,
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',monday_follows_sunday) ).
fof(statement2,axiom,
! [X1] :
( day2(X1)
=> ( truthday(X1)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',statement2) ).
fof(day2_once,axiom,
? [X1] : day2(X1),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day2_once) ).
fof(day2_unique,axiom,
! [X1,X2] :
( ( day2(X1)
& day2(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day2_unique) ).
fof(days_of_week,axiom,
! [X1] :
( X1 = monday
| X1 = tuesday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',days_of_week) ).
fof(day3_unique,axiom,
! [X1,X2] :
( ( day3(X1)
& day3(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',day3_unique) ).
fof(tuesday_follows_monday,axiom,
consecutive(monday) = tuesday,
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',tuesday_follows_monday) ).
fof(saturday_follows_friday,axiom,
consecutive(friday) = saturday,
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',saturday_follows_friday) ).
fof(friday_follows_thursday,axiom,
consecutive(thursday) = friday,
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',friday_follows_thursday) ).
fof(thursday_follows_wednesday,axiom,
consecutive(wednesday) = thursday,
file('/export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p',thursday_follows_wednesday) ).
fof(c_0_22,plain,
! [X1] :
( day1(X1)
=> ( truthday(X1)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
inference(fof_simplification,[status(thm)],[statement1]) ).
fof(c_0_23,plain,
! [X6] :
( ( ~ truthday(monday)
| ~ truthday(X6)
| ~ day1(X6) )
& ( ~ truthday(tuesday)
| ~ truthday(X6)
| ~ day1(X6) )
& ( truthday(monday)
| truthday(tuesday)
| truthday(X6)
| ~ day1(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_24,negated_conjecture,
~ truthday(tuesday),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[tuesday_leo_tells_truths])]) ).
fof(c_0_25,plain,
! [X3,X4] :
( ~ truthday(X3)
| ~ truthday(X4)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[truth_unique])]) ).
fof(c_0_26,plain,
truthday(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[truth_once])]) ).
cnf(c_0_27,plain,
( truthday(monday)
| truthday(tuesday)
| truthday(X1)
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
~ truthday(tuesday),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_29,plain,
day1(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day1_once])]) ).
cnf(c_0_30,plain,
( X1 = X2
| ~ truthday(X1)
| ~ truthday(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
truthday(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( truthday(monday)
| truthday(X1)
| ~ day1(X1) ),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
day1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X1] :
( day3(X1)
=> ( truthday(X1)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
inference(fof_simplification,[status(thm)],[statement3]) ).
cnf(c_0_35,plain,
( X1 = esk1_0
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
( truthday(esk2_0)
| truthday(monday) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_37,plain,
! [X8] :
( ( ~ truthday(wednesday)
| ~ truthday(X8)
| ~ day3(X8) )
& ( ~ truthday(friday)
| ~ truthday(X8)
| ~ day3(X8) )
& ( truthday(wednesday)
| truthday(friday)
| truthday(X8)
| ~ day3(X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).
fof(c_0_38,plain,
day3(esk4_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day3_once])]) ).
cnf(c_0_39,plain,
( esk2_0 = esk1_0
| truthday(monday) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( truthday(wednesday)
| truthday(friday)
| truthday(X1)
| ~ day3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
day3(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
( esk2_0 = esk1_0
| X1 = monday
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_43,plain,
( truthday(esk4_0)
| truthday(friday)
| truthday(wednesday) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( esk4_0 = monday
| esk2_0 = esk1_0
| truthday(wednesday)
| truthday(friday) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_45,plain,
monday != friday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
fof(c_0_46,plain,
! [X10,X11] :
( ~ day1(X10)
| ~ day1(X11)
| X10 = X11 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day1_unique])]) ).
fof(c_0_47,plain,
! [X13] :
( ( ~ day1(X13)
| day2(consecutive(X13)) )
& ( ~ day2(consecutive(X13))
| day1(X13) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day2_follows_day1])]) ).
fof(c_0_48,plain,
! [X17] :
( ( ~ day2(X17)
| day3(consecutive(X17)) )
& ( ~ day3(consecutive(X17))
| day2(X17) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day3_follows_day2])]) ).
cnf(c_0_49,plain,
( esk4_0 = monday
| esk2_0 = esk1_0
| truthday(wednesday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_44]),c_0_45]) ).
cnf(c_0_50,plain,
monday != wednesday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_51,plain,
( X1 = X2
| ~ day1(X1)
| ~ day1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
( day1(X1)
| ~ day2(consecutive(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
consecutive(saturday) = sunday,
inference(split_conjunct,[status(thm)],[sunday_follows_saturday]) ).
cnf(c_0_54,plain,
( day2(X1)
| ~ day3(consecutive(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
consecutive(sunday) = monday,
inference(split_conjunct,[status(thm)],[monday_follows_sunday]) ).
cnf(c_0_56,plain,
( esk4_0 = monday
| esk2_0 = esk1_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_49]),c_0_50]) ).
cnf(c_0_57,plain,
( X1 = esk2_0
| ~ day1(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_33]) ).
cnf(c_0_58,plain,
( day1(saturday)
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,plain,
( day2(sunday)
| ~ day3(monday) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,plain,
( esk2_0 = esk1_0
| day3(monday) ),
inference(spm,[status(thm)],[c_0_41,c_0_56]) ).
cnf(c_0_61,plain,
( esk2_0 = saturday
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_62,plain,
( esk2_0 = esk1_0
| day2(sunday) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_63,plain,
( esk2_0 = esk1_0
| esk2_0 = saturday ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_64,plain,
! [X7] :
( ( ~ truthday(X7)
| day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ day2(X7) )
& ( ~ day2(thursday)
| truthday(X7)
| ~ day2(X7) )
& ( ~ day2(saturday)
| truthday(X7)
| ~ day2(X7) )
& ( ~ day2(sunday)
| truthday(X7)
| ~ day2(X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[statement2])])]) ).
cnf(c_0_65,plain,
( day2(consecutive(X1))
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_66,plain,
( esk2_0 = saturday
| esk1_0 != saturday ),
inference(ef,[status(thm)],[c_0_63]) ).
cnf(c_0_67,plain,
( truthday(X1)
| ~ day2(sunday)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_68,plain,
( day2(sunday)
| ~ day1(saturday) ),
inference(spm,[status(thm)],[c_0_65,c_0_53]) ).
cnf(c_0_69,plain,
( day1(saturday)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_33,c_0_66]) ).
cnf(c_0_70,plain,
( esk2_0 = esk1_0
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
cnf(c_0_71,plain,
( day2(sunday)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_72,plain,
day2(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day2_once])]) ).
cnf(c_0_73,plain,
( ~ truthday(monday)
| ~ truthday(X1)
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_74,plain,
( esk2_0 = esk1_0
| truthday(sunday) ),
inference(spm,[status(thm)],[c_0_70,c_0_62]) ).
cnf(c_0_75,plain,
monday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
fof(c_0_76,plain,
! [X14,X15] :
( ~ day2(X14)
| ~ day2(X15)
| X14 = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day2_unique])]) ).
cnf(c_0_77,plain,
( truthday(X1)
| esk1_0 != saturday
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_71]) ).
cnf(c_0_78,plain,
day2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
( ~ truthday(monday)
| ~ truthday(esk2_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_33]) ).
cnf(c_0_80,plain,
esk2_0 = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_74]),c_0_75]) ).
cnf(c_0_81,plain,
( X1 = X2
| ~ day2(X1)
| ~ day2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
( truthday(esk3_0)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,plain,
~ truthday(monday),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80]),c_0_31])]) ).
cnf(c_0_84,plain,
( X1 = esk3_0
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_78]) ).
cnf(c_0_85,plain,
( X1 = esk3_0
| esk1_0 != saturday
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_82]) ).
cnf(c_0_86,plain,
( truthday(saturday)
| esk1_0 != saturday ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_69]),c_0_83]) ).
fof(c_0_87,plain,
! [X9] :
( X9 = monday
| X9 = tuesday
| X9 = wednesday
| X9 = thursday
| X9 = friday
| X9 = saturday
| X9 = sunday ),
inference(variable_rename,[status(thm)],[days_of_week]) ).
cnf(c_0_88,plain,
( esk3_0 = sunday
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_84,c_0_71]) ).
cnf(c_0_89,plain,
( esk3_0 = saturday
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,plain,
saturday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_91,plain,
day1(esk1_0),
inference(rw,[status(thm)],[c_0_33,c_0_80]) ).
cnf(c_0_92,plain,
( X1 = monday
| X1 = tuesday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_93,plain,
esk1_0 != saturday,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
fof(c_0_94,plain,
! [X18,X19] :
( ~ day3(X18)
| ~ day3(X19)
| X18 = X19 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day3_unique])]) ).
cnf(c_0_95,plain,
( esk1_0 = sunday
| esk1_0 = friday
| esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| day1(monday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]) ).
cnf(c_0_96,plain,
( X1 = X2
| ~ day3(X1)
| ~ day3(X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_97,plain,
( day3(consecutive(X1))
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_98,plain,
consecutive(monday) = tuesday,
inference(split_conjunct,[status(thm)],[tuesday_follows_monday]) ).
cnf(c_0_99,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| esk1_0 = friday
| esk1_0 = sunday ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_95]),c_0_83]) ).
cnf(c_0_100,plain,
( X1 = esk4_0
| ~ day3(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_41]) ).
cnf(c_0_101,plain,
( day3(tuesday)
| ~ day2(monday) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,plain,
( day2(monday)
| ~ day1(sunday) ),
inference(spm,[status(thm)],[c_0_65,c_0_55]) ).
cnf(c_0_103,plain,
( esk1_0 = friday
| esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| day1(sunday) ),
inference(spm,[status(thm)],[c_0_91,c_0_99]) ).
cnf(c_0_104,plain,
( esk4_0 = esk1_0
| truthday(wednesday)
| truthday(friday) ),
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_105,plain,
( esk4_0 = tuesday
| ~ day2(monday) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| esk1_0 = friday
| day2(monday) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
( esk4_0 = esk1_0
| esk1_0 = friday
| truthday(wednesday) ),
inference(spm,[status(thm)],[c_0_35,c_0_104]) ).
cnf(c_0_108,plain,
( consecutive(X1) = esk3_0
| ~ day1(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_65]) ).
cnf(c_0_109,plain,
( esk1_0 = friday
| esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| esk4_0 = tuesday ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( esk1_0 = friday
| esk4_0 = esk1_0
| esk1_0 = wednesday ),
inference(spm,[status(thm)],[c_0_35,c_0_107]) ).
cnf(c_0_111,plain,
consecutive(esk1_0) = esk3_0,
inference(spm,[status(thm)],[c_0_108,c_0_91]) ).
cnf(c_0_112,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| esk1_0 = friday ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,plain,
consecutive(friday) = saturday,
inference(split_conjunct,[status(thm)],[saturday_follows_friday]) ).
cnf(c_0_114,plain,
( esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| esk3_0 = saturday ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_115,plain,
( truthday(X1)
| ~ day2(saturday)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_116,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| day2(saturday) ),
inference(spm,[status(thm)],[c_0_78,c_0_114]) ).
cnf(c_0_117,plain,
( esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_118,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| truthday(esk3_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_78]) ).
cnf(c_0_119,plain,
( esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| esk3_0 = esk1_0 ),
inference(spm,[status(thm)],[c_0_35,c_0_118]) ).
cnf(c_0_120,plain,
( day3(saturday)
| ~ day2(friday) ),
inference(spm,[status(thm)],[c_0_97,c_0_113]) ).
cnf(c_0_121,plain,
( esk1_0 = wednesday
| esk1_0 = friday
| day3(esk1_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_110]) ).
cnf(c_0_122,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_119]),c_0_93]) ).
cnf(c_0_123,plain,
wednesday != thursday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_124,plain,
thursday != friday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_125,plain,
consecutive(thursday) = friday,
inference(split_conjunct,[status(thm)],[friday_follows_thursday]) ).
cnf(c_0_126,plain,
( X1 = saturday
| ~ day3(X1)
| ~ day2(friday) ),
inference(spm,[status(thm)],[c_0_96,c_0_120]) ).
cnf(c_0_127,plain,
( esk1_0 = wednesday
| esk1_0 = tuesday
| day3(thursday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_128,plain,
thursday != saturday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_129,plain,
( esk1_0 = wednesday
| esk1_0 = tuesday
| esk3_0 = friday ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_122]),c_0_125]) ).
cnf(c_0_130,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| ~ day2(friday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_131,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_129]),c_0_130]) ).
cnf(c_0_132,plain,
consecutive(wednesday) = thursday,
inference(split_conjunct,[status(thm)],[thursday_follows_wednesday]) ).
cnf(c_0_133,plain,
( esk1_0 = tuesday
| esk3_0 = thursday ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_131]),c_0_132]) ).
cnf(c_0_134,plain,
( truthday(X1)
| ~ day2(thursday)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_135,plain,
( esk1_0 = tuesday
| day2(thursday) ),
inference(spm,[status(thm)],[c_0_78,c_0_133]) ).
cnf(c_0_136,plain,
( esk1_0 = tuesday
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_137,plain,
( esk1_0 = tuesday
| truthday(thursday) ),
inference(spm,[status(thm)],[c_0_136,c_0_135]) ).
cnf(c_0_138,plain,
( esk1_0 = tuesday
| esk1_0 = thursday ),
inference(spm,[status(thm)],[c_0_35,c_0_137]) ).
cnf(c_0_139,plain,
tuesday != thursday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_140,plain,
esk1_0 = tuesday,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_138]),c_0_139]),c_0_123]) ).
cnf(c_0_141,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_140]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : PUZ078+1 : TPTP v8.1.2. Released v3.5.0.
% 0.07/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 19:04:08 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.yKIcsIBqVi/E---3.1_27860.p
% 0.16/0.69 # Version: 3.1pre001
% 0.16/0.69 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.69 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.69 # Starting sh5l with 300s (1) cores
% 0.16/0.69 # new_bool_1 with pid 27942 completed with status 0
% 0.16/0.69 # Result found by new_bool_1
% 0.16/0.69 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.69 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.69 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.69 # Search class: FGHSF-FFMM11-SFFFFFNN
% 0.16/0.69 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.69 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.69 # SAT001_MinMin_p005000_rr_RG with pid 27946 completed with status 0
% 0.16/0.69 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.69 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.69 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.69 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.69 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.69 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.69 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.69 # Search class: FGHSF-FFMM11-SFFFFFNN
% 0.16/0.69 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.69 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.69 # Preprocessing time : 0.001 s
% 0.16/0.69 # Presaturation interreduction done
% 0.16/0.69
% 0.16/0.69 # Proof found!
% 0.16/0.69 # SZS status Theorem
% 0.16/0.69 # SZS output start CNFRefutation
% See solution above
% 0.16/0.69 # Parsed axioms : 23
% 0.16/0.69 # Removed by relevancy pruning/SinE : 0
% 0.16/0.69 # Initial clauses : 52
% 0.16/0.69 # Removed in clause preprocessing : 0
% 0.16/0.69 # Initial clauses in saturation : 52
% 0.16/0.69 # Processed clauses : 1551
% 0.16/0.69 # ...of these trivial : 0
% 0.16/0.69 # ...subsumed : 1011
% 0.16/0.69 # ...remaining for further processing : 540
% 0.16/0.69 # Other redundant clauses eliminated : 287
% 0.16/0.69 # Clauses deleted for lack of memory : 0
% 0.16/0.69 # Backward-subsumed : 151
% 0.16/0.69 # Backward-rewritten : 94
% 0.16/0.69 # Generated clauses : 7202
% 0.16/0.69 # ...of the previous two non-redundant : 5942
% 0.16/0.69 # ...aggressively subsumed : 0
% 0.16/0.69 # Contextual simplify-reflections : 42
% 0.16/0.69 # Paramodulations : 6253
% 0.16/0.69 # Factorizations : 661
% 0.16/0.69 # NegExts : 0
% 0.16/0.69 # Equation resolutions : 287
% 0.16/0.69 # Total rewrite steps : 2026
% 0.16/0.69 # Propositional unsat checks : 0
% 0.16/0.69 # Propositional check models : 0
% 0.16/0.69 # Propositional check unsatisfiable : 0
% 0.16/0.69 # Propositional clauses : 0
% 0.16/0.69 # Propositional clauses after purity: 0
% 0.16/0.69 # Propositional unsat core size : 0
% 0.16/0.69 # Propositional preprocessing time : 0.000
% 0.16/0.69 # Propositional encoding time : 0.000
% 0.16/0.69 # Propositional solver time : 0.000
% 0.16/0.69 # Success case prop preproc time : 0.000
% 0.16/0.69 # Success case prop encoding time : 0.000
% 0.16/0.69 # Success case prop solver time : 0.000
% 0.16/0.69 # Current number of processed clauses : 243
% 0.16/0.69 # Positive orientable unit clauses : 10
% 0.16/0.69 # Positive unorientable unit clauses: 0
% 0.16/0.69 # Negative unit clauses : 25
% 0.16/0.69 # Non-unit-clauses : 208
% 0.16/0.69 # Current number of unprocessed clauses: 4184
% 0.16/0.69 # ...number of literals in the above : 73950
% 0.16/0.69 # Current number of archived formulas : 0
% 0.16/0.69 # Current number of archived clauses : 297
% 0.16/0.69 # Clause-clause subsumption calls (NU) : 29741
% 0.16/0.69 # Rec. Clause-clause subsumption calls : 13556
% 0.16/0.69 # Non-unit clause-clause subsumptions : 1048
% 0.16/0.69 # Unit Clause-clause subsumption calls : 446
% 0.16/0.69 # Rewrite failures with RHS unbound : 0
% 0.16/0.69 # BW rewrite match attempts : 3
% 0.16/0.69 # BW rewrite match successes : 3
% 0.16/0.69 # Condensation attempts : 0
% 0.16/0.69 # Condensation successes : 0
% 0.16/0.69 # Termbank termtop insertions : 57116
% 0.16/0.69
% 0.16/0.69 # -------------------------------------------------
% 0.16/0.69 # User time : 0.243 s
% 0.16/0.69 # System time : 0.010 s
% 0.16/0.69 # Total time : 0.253 s
% 0.16/0.69 # Maximum resident set size: 1728 pages
% 0.16/0.69
% 0.16/0.69 # -------------------------------------------------
% 0.16/0.69 # User time : 0.243 s
% 0.16/0.69 # System time : 0.013 s
% 0.16/0.69 # Total time : 0.256 s
% 0.16/0.69 # Maximum resident set size: 1692 pages
% 0.16/0.69 % E---3.1 exiting
%------------------------------------------------------------------------------