%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ078+1 : TPTP v9.2.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 05:03:24 PM UTC 2026
% Result : Theorem 1.62s 1.82s
% Output : CNFRefutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 22
% Syntax : Number of formulae : 143 ( 41 unt; 0 def)
% Number of atoms : 384 ( 184 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 375 ( 134 ~; 188 |; 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 : 68 ( 0 sgn 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(statement1,axiom,
! [X1] :
( day1(X1)
=> ( truthday(X1)
<=> ( ~ truthday(monday)
& ~ truthday(tuesday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement1) ).
fof(tuesday_leo_tells_truths,conjecture,
truthday(tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_leo_tells_truths) ).
fof(truth_unique,axiom,
! [X1,X2] :
( ( truthday(X1)
& truthday(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_unique) ).
fof(truth_once,axiom,
? [X1] : truthday(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_once) ).
fof(day1_once,axiom,
? [X1] : day1(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_once) ).
fof(statement3,axiom,
! [X1] :
( day3(X1)
=> ( truthday(X1)
<=> ( ~ truthday(wednesday)
& ~ truthday(friday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement3) ).
fof(day3_once,axiom,
? [X1] : day3(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',uniquenames) ).
fof(day1_unique,axiom,
! [X1,X2] :
( ( day1(X1)
& day1(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day1_unique) ).
fof(day2_follows_day1,axiom,
! [X1] :
( day1(X1)
<=> day2(consecutive(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_follows_day1) ).
fof(day3_follows_day2,axiom,
! [X1] :
( day2(X1)
<=> day3(consecutive(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_follows_day2) ).
fof(sunday_follows_saturday,axiom,
consecutive(saturday) = sunday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).
fof(monday_follows_sunday,axiom,
consecutive(sunday) = monday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(statement2,axiom,
! [X1] :
( day2(X1)
=> ( truthday(X1)
<=> ( day2(thursday)
| day2(saturday)
| day2(sunday) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',statement2) ).
fof(day2_unique,axiom,
! [X1,X2] :
( ( day2(X1)
& day2(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_unique) ).
fof(day2_once,axiom,
? [X1] : day2(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day2_once) ).
fof(day3_unique,axiom,
! [X1,X2] :
( ( day3(X1)
& day3(X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',day3_unique) ).
fof(days_of_week,axiom,
! [X1] :
( X1 = monday
| X1 = tuesday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',days_of_week) ).
fof(tuesday_follows_monday,axiom,
consecutive(monday) = tuesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
fof(saturday_follows_friday,axiom,
consecutive(friday) = saturday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',saturday_follows_friday) ).
fof(friday_follows_thursday,axiom,
consecutive(thursday) = friday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(thursday_follows_wednesday,axiom,
consecutive(wednesday) = thursday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.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,
! [X36] :
( ( ~ truthday(monday)
| ~ truthday(X36)
| ~ day1(X36) )
& ( ~ truthday(tuesday)
| ~ truthday(X36)
| ~ day1(X36) )
& ( truthday(monday)
| truthday(tuesday)
| truthday(X36)
| ~ day1(X36) ) ),
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,
! [X22,X23] :
( ~ truthday(X22)
| ~ truthday(X23)
| X22 = X23 ),
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,
! [X38] :
( ( ~ truthday(wednesday)
| ~ truthday(X38)
| ~ day3(X38) )
& ( ~ truthday(friday)
| ~ truthday(X38)
| ~ day3(X38) )
& ( truthday(wednesday)
| truthday(friday)
| truthday(X38)
| ~ day3(X38) ) ),
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,
! [X24,X25] :
( ~ day1(X24)
| ~ day1(X25)
| X24 = X25 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day1_unique])]) ).
fof(c_0_47,plain,
! [X34] :
( ( ~ day1(X34)
| day2(consecutive(X34)) )
& ( ~ day2(consecutive(X34))
| day1(X34) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day2_follows_day1])]) ).
fof(c_0_48,plain,
! [X35] :
( ( ~ day2(X35)
| day3(consecutive(X35)) )
& ( ~ day3(consecutive(X35))
| day2(X35) ) ),
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]) ).
cnf(c_0_64,plain,
( day2(consecutive(X1))
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_65,plain,
( esk2_0 = saturday
| esk1_0 != saturday ),
inference(ef,[status(thm)],[c_0_63]) ).
fof(c_0_66,plain,
! [X37] :
( ( ~ truthday(X37)
| day2(thursday)
| day2(saturday)
| day2(sunday)
| ~ day2(X37) )
& ( ~ day2(thursday)
| truthday(X37)
| ~ day2(X37) )
& ( ~ day2(saturday)
| truthday(X37)
| ~ day2(X37) )
& ( ~ day2(sunday)
| truthday(X37)
| ~ day2(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[statement2])])]) ).
cnf(c_0_67,plain,
( day2(sunday)
| ~ day1(saturday) ),
inference(spm,[status(thm)],[c_0_64,c_0_53]) ).
cnf(c_0_68,plain,
( day1(saturday)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_33,c_0_65]) ).
cnf(c_0_69,plain,
( truthday(X1)
| ~ day2(sunday)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_70,plain,
( day2(sunday)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_71,plain,
( esk4_0 = esk1_0
| truthday(wednesday)
| truthday(friday) ),
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
fof(c_0_72,plain,
! [X26,X27] :
( ~ day2(X26)
| ~ day2(X27)
| X26 = X27 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day2_unique])]) ).
fof(c_0_73,plain,
day2(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[day2_once])]) ).
cnf(c_0_74,plain,
( esk2_0 = esk1_0
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_62]) ).
cnf(c_0_75,plain,
( truthday(X1)
| esk1_0 != saturday
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X28,X29] :
( ~ day3(X28)
| ~ day3(X29)
| X28 = X29 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[day3_unique])]) ).
cnf(c_0_77,plain,
( esk4_0 = esk1_0
| esk1_0 = friday
| truthday(wednesday) ),
inference(spm,[status(thm)],[c_0_35,c_0_71]) ).
cnf(c_0_78,plain,
( X1 = X2
| ~ day2(X1)
| ~ day2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_79,plain,
day2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,plain,
( esk2_0 = esk1_0
| truthday(sunday) ),
inference(spm,[status(thm)],[c_0_74,c_0_62]) ).
cnf(c_0_81,plain,
monday != sunday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
fof(c_0_82,plain,
! [X21] :
( X21 = monday
| X21 = tuesday
| X21 = wednesday
| X21 = thursday
| X21 = friday
| X21 = saturday
| X21 = sunday ),
inference(variable_rename,[status(thm)],[days_of_week]) ).
cnf(c_0_83,plain,
( truthday(sunday)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_75,c_0_70]) ).
cnf(c_0_84,plain,
( ~ truthday(monday)
| ~ truthday(X1)
| ~ day1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_85,plain,
( X1 = X2
| ~ day3(X1)
| ~ day3(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,plain,
( day3(consecutive(X1))
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_87,plain,
( esk1_0 = friday
| esk4_0 = esk1_0
| esk1_0 = wednesday ),
inference(spm,[status(thm)],[c_0_35,c_0_77]) ).
cnf(c_0_88,plain,
( X1 = esk3_0
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_89,plain,
esk2_0 = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_80]),c_0_81]) ).
cnf(c_0_90,plain,
( X1 = monday
| X1 = tuesday
| X1 = wednesday
| X1 = thursday
| X1 = friday
| X1 = saturday
| X1 = sunday ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_91,plain,
( esk1_0 = sunday
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_35,c_0_83]) ).
cnf(c_0_92,plain,
( ~ truthday(monday)
| ~ truthday(esk2_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_33]) ).
cnf(c_0_93,plain,
( X1 = consecutive(X2)
| ~ day3(X1)
| ~ day2(X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,plain,
( esk1_0 = wednesday
| esk1_0 = friday
| day3(esk1_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_87]) ).
cnf(c_0_95,plain,
( consecutive(X1) = esk3_0
| ~ day1(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_64]) ).
cnf(c_0_96,plain,
day1(esk1_0),
inference(rw,[status(thm)],[c_0_33,c_0_89]) ).
cnf(c_0_97,plain,
( esk1_0 = sunday
| esk1_0 = friday
| esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| truthday(monday) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_90]),c_0_91]) ).
cnf(c_0_98,plain,
~ truthday(monday),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_89]),c_0_31])]) ).
cnf(c_0_99,plain,
( consecutive(X1) = esk1_0
| esk1_0 = friday
| esk1_0 = wednesday
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,plain,
consecutive(esk1_0) = esk3_0,
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| esk1_0 = friday
| esk1_0 = sunday ),
inference(sr,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_102,plain,
( consecutive(esk3_0) = esk1_0
| esk1_0 = wednesday
| esk1_0 = friday ),
inference(spm,[status(thm)],[c_0_99,c_0_79]) ).
cnf(c_0_103,plain,
( esk1_0 = friday
| esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| esk3_0 = monday ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_55]) ).
cnf(c_0_104,plain,
consecutive(monday) = tuesday,
inference(split_conjunct,[status(thm)],[tuesday_follows_monday]) ).
cnf(c_0_105,plain,
( truthday(esk3_0)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_75,c_0_79]) ).
cnf(c_0_106,plain,
( esk1_0 = thursday
| esk1_0 = friday
| esk1_0 = wednesday
| esk1_0 = tuesday ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).
cnf(c_0_107,plain,
consecutive(friday) = saturday,
inference(split_conjunct,[status(thm)],[saturday_follows_friday]) ).
cnf(c_0_108,plain,
( X1 = esk4_0
| ~ day3(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_41]) ).
cnf(c_0_109,plain,
( day3(monday)
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_86,c_0_55]) ).
cnf(c_0_110,plain,
( day3(esk3_0)
| ~ day2(esk1_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_100]) ).
cnf(c_0_111,plain,
( esk3_0 = esk1_0
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_35,c_0_105]) ).
cnf(c_0_112,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| esk3_0 = saturday ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_106]),c_0_107]) ).
cnf(c_0_113,plain,
( esk4_0 = monday
| ~ day2(sunday) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,plain,
( esk4_0 = esk3_0
| ~ day2(esk1_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_110]) ).
cnf(c_0_115,plain,
( day2(esk1_0)
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_79,c_0_111]) ).
cnf(c_0_116,plain,
( truthday(X1)
| ~ day2(saturday)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_117,plain,
( esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| day2(saturday) ),
inference(spm,[status(thm)],[c_0_79,c_0_112]) ).
cnf(c_0_118,plain,
( esk4_0 = monday
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_113,c_0_70]) ).
cnf(c_0_119,plain,
( esk4_0 = esk3_0
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( esk3_0 = monday
| esk1_0 != saturday ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,plain,
( esk1_0 = thursday
| esk1_0 = wednesday
| esk1_0 = tuesday
| truthday(saturday) ),
inference(spm,[status(thm)],[c_0_120,c_0_117]) ).
cnf(c_0_123,plain,
esk1_0 != saturday,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_121]),c_0_98]) ).
cnf(c_0_124,plain,
( esk1_0 = tuesday
| esk1_0 = wednesday
| esk1_0 = thursday ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_122]),c_0_123]) ).
cnf(c_0_125,plain,
consecutive(thursday) = friday,
inference(split_conjunct,[status(thm)],[friday_follows_thursday]) ).
cnf(c_0_126,plain,
( esk1_0 = wednesday
| esk1_0 = tuesday
| esk3_0 = friday ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_124]),c_0_125]) ).
cnf(c_0_127,plain,
( esk1_0 = tuesday
| esk1_0 = friday
| esk1_0 = wednesday ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_126]),c_0_107]),c_0_123]) ).
cnf(c_0_128,plain,
tuesday != friday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_129,plain,
wednesday != friday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_130,plain,
thursday != friday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_131,plain,
( esk1_0 = wednesday
| esk1_0 = tuesday ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_127]),c_0_128]),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_100,c_0_131]),c_0_132]) ).
cnf(c_0_134,plain,
( truthday(X1)
| ~ day2(thursday)
| ~ day2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_135,plain,
( esk1_0 = tuesday
| day2(thursday) ),
inference(spm,[status(thm)],[c_0_79,c_0_133]) ).
cnf(c_0_136,plain,
( esk1_0 = tuesday
| truthday(wednesday) ),
inference(spm,[status(thm)],[c_0_31,c_0_131]) ).
cnf(c_0_137,plain,
( esk1_0 = tuesday
| truthday(X1)
| ~ day2(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_138,plain,
( esk1_0 = tuesday
| X1 = wednesday
| ~ truthday(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_136]) ).
cnf(c_0_139,plain,
( esk1_0 = tuesday
| truthday(thursday) ),
inference(spm,[status(thm)],[c_0_137,c_0_135]) ).
cnf(c_0_140,plain,
wednesday != thursday,
inference(split_conjunct,[status(thm)],[uniquenames]) ).
cnf(c_0_141,plain,
esk1_0 = tuesday,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_142,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_141]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ078+1 : TPTP v9.2.1. Released v3.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:34:44 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.62/1.82 % Version : CSE_E---1.7
% 1.62/1.82 % Problem : theBenchmark.p
% 1.62/1.82 % SZS status Theorem for theBenchmark.p
% 1.62/1.82 % SZS output start CNFRefutation
% See solution above
% 1.62/1.82 % Total time : 1.370s
%------------------------------------------------------------------------------