%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:02:18 PM UTC 2026
% Result : Theorem 0.37s 0.52s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 116 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 248 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 251 ( 119 ~; 124 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
day: $tType ).
tff(decl_sort2,type,
person: $tType ).
tff(decl_23,type,
all_on: day > $o ).
tff(decl_24,type,
on: ( day * person ) > $o ).
tff(decl_25,type,
consecutive: ( day * day ) > $o ).
tff(decl_26,type,
same_day: ( day * day ) > $o ).
tff(decl_27,type,
same_person: ( person * person ) > $o ).
tff(decl_28,type,
a: person ).
tff(decl_29,type,
b: person ).
tff(decl_30,type,
c: person ).
tff(decl_31,type,
monday: day ).
tff(decl_32,type,
tuesday: day ).
tff(decl_33,type,
wednesday: day ).
tff(decl_34,type,
thursday: day ).
tff(decl_35,type,
friday: day ).
tff(decl_36,type,
sunday: day ).
tff(decl_37,type,
saturday: day ).
tff(prove_all_on_friday,conjecture,
all_on(friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(all_on_c_on,axiom,
! [X1: day] :
( all_on(X1)
=> on(c,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
tff(all_on_one_day,hypothesis,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
tff(all_on_b_on,axiom,
! [X1: day] :
( all_on(X1)
=> on(b,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
tff(b_off_saturday,hypothesis,
~ on(b,saturday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
tff(a_off_tuesday,hypothesis,
~ on(a,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(not_on_for_3_days,hypothesis,
! [X1: day,X2: day,X4: day,X5: day,X6: person] :
~ ( on(X6,X4)
& on(X6,X2)
& on(X6,X1)
& consecutive(X4,X5)
& consecutive(X2,X4)
& consecutive(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(b_not_c,axiom,
~ same_person(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
tff(all_on_a_on,axiom,
! [X1: day] :
( all_on(X1)
=> on(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
tff(a_off_sunday,hypothesis,
~ on(a,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
tff(friday_follows_thursday,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(c_off_sunday,hypothesis,
~ on(c,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
tff(no_two_off_twice_together,hypothesis,
! [X7: person,X2: day,X4: day,X8: person] :
( same_day(X2,X4)
| same_person(X7,X8)
| on(X8,X4)
| on(X8,X2)
| on(X7,X4)
| on(X7,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(a_not_c,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
tff(a_off_thursday,hypothesis,
~ on(a,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
tff(thursday_follows_wednesday,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(sunday_not_wednesday,axiom,
~ same_day(sunday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_wednesday) ).
tff(wednesday_follows_tuesday,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(sunday_not_tuesday,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(sunday_not_thursday,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(a_not_b,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
tff(b_off_thursday,hypothesis,
~ on(b,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
tff(tuesday_follows_monday,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(tuesday_not_thursday,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(monday_follows_sunday,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(c_0_25,negated_conjecture,
~ all_on(friday),
inference(assume_negation,[status(cth)],[prove_all_on_friday]) ).
tff(c_0_26,negated_conjecture,
~ all_on(friday),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
tff(c_0_27,negated_conjecture,
~ all_on(friday),
inference(fof_nnf,[status(thm)],[c_0_26]) ).
tff(c_0_28,plain,
! [X11: day] :
( on(c,X11)
| ~ all_on(X11) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[all_on_c_on])])]) ).
tcf(c_0_29,hypothesis,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(split_conjunct,[status(thm)],[all_on_one_day]) ).
tcf(c_0_30,negated_conjecture,
~ all_on(friday),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
tff(c_0_31,plain,
! [X10: day] :
( on(b,X10)
| ~ all_on(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[all_on_b_on])])]) ).
tcf(c_0_32,plain,
! [X1: day] :
( ~ all_on(X1)
| on(c,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
tcf(c_0_33,hypothesis,
( all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(sunday)
| all_on(saturday) ),
inference(sr,[status(thm)],[c_0_29,c_0_30]) ).
tff(c_0_34,hypothesis,
~ on(b,saturday),
inference(fof_simplification,[status(thm)],[b_off_saturday]) ).
tcf(c_0_35,plain,
! [X1: day] :
( ~ all_on(X1)
| on(b,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
tcf(c_0_36,hypothesis,
( all_on(saturday)
| all_on(sunday)
| all_on(thursday)
| all_on(tuesday)
| all_on(monday)
| on(c,wednesday) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
tff(c_0_37,hypothesis,
~ on(b,saturday),
inference(fof_nnf,[status(thm)],[c_0_34]) ).
tff(c_0_38,hypothesis,
~ on(a,tuesday),
inference(fof_simplification,[status(thm)],[a_off_tuesday]) ).
tff(c_0_39,hypothesis,
! [X17: day,X18: day,X19: day,X20: day,X21: person] :
( ~ on(X21,X19)
| ~ on(X21,X18)
| ~ on(X21,X17)
| ~ consecutive(X19,X20)
| ~ consecutive(X18,X19)
| ~ consecutive(X17,X18) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[not_on_for_3_days])])]) ).
tff(c_0_40,plain,
~ same_person(b,c),
inference(fof_simplification,[status(thm)],[b_not_c]) ).
tff(c_0_41,plain,
! [X9: day] :
( on(a,X9)
| ~ all_on(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[all_on_a_on])])]) ).
tcf(c_0_42,hypothesis,
( all_on(tuesday)
| all_on(thursday)
| all_on(sunday)
| all_on(saturday)
| on(b,monday)
| on(c,wednesday) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
tcf(c_0_43,hypothesis,
~ on(b,saturday),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
tff(c_0_44,hypothesis,
~ on(a,tuesday),
inference(fof_nnf,[status(thm)],[c_0_38]) ).
tff(c_0_45,hypothesis,
~ on(a,sunday),
inference(fof_simplification,[status(thm)],[a_off_sunday]) ).
tcf(c_0_46,hypothesis,
! [X1: day,X2: day,X3: person,X5: day,X4: day] :
( ~ on(X3,X4)
| ~ on(X3,X2)
| ~ on(X3,X1)
| ~ consecutive(X4,X5)
| ~ consecutive(X2,X4)
| ~ consecutive(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
tcf(c_0_47,plain,
consecutive(thursday,friday),
inference(split_conjunct,[status(thm)],[friday_follows_thursday]) ).
tff(c_0_48,hypothesis,
~ on(c,sunday),
inference(fof_simplification,[status(thm)],[c_off_sunday]) ).
tff(c_0_49,plain,
~ same_person(b,c),
inference(fof_nnf,[status(thm)],[c_0_40]) ).
tff(c_0_50,hypothesis,
! [X22: person,X23: day,X24: day,X25: person] :
( same_day(X23,X24)
| same_person(X22,X25)
| on(X25,X24)
| on(X25,X23)
| on(X22,X24)
| on(X22,X23) ),
inference(variable_rename,[status(thm)],[no_two_off_twice_together]) ).
tff(c_0_51,plain,
~ same_person(a,c),
inference(fof_simplification,[status(thm)],[a_not_c]) ).
tcf(c_0_52,plain,
! [X1: day] :
( ~ all_on(X1)
| on(a,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
tcf(c_0_53,hypothesis,
( all_on(sunday)
| all_on(thursday)
| all_on(tuesday)
| on(c,wednesday)
| on(b,monday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_42]),c_0_43]) ).
tcf(c_0_54,hypothesis,
~ on(a,tuesday),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
tff(c_0_55,hypothesis,
~ on(a,sunday),
inference(fof_nnf,[status(thm)],[c_0_45]) ).
tff(c_0_56,hypothesis,
~ on(a,thursday),
inference(fof_simplification,[status(thm)],[a_off_thursday]) ).
tcf(c_0_57,hypothesis,
! [X1: day,X3: person,X2: day] :
( ~ on(X3,X2)
| ~ on(X3,X1)
| ~ on(X3,thursday)
| ~ consecutive(X2,X1)
| ~ consecutive(X1,thursday) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
tcf(c_0_58,plain,
consecutive(wednesday,thursday),
inference(split_conjunct,[status(thm)],[thursday_follows_wednesday]) ).
tff(c_0_59,hypothesis,
~ on(c,sunday),
inference(fof_nnf,[status(thm)],[c_0_48]) ).
tcf(c_0_60,plain,
~ same_person(b,c),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
tcf(c_0_61,hypothesis,
! [X1: day,X6: person,X3: person,X2: day] :
( same_day(X1,X2)
| same_person(X3,X6)
| on(X6,X2)
| on(X6,X1)
| on(X3,X2)
| on(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
tff(c_0_62,plain,
~ same_day(sunday,wednesday),
inference(fof_simplification,[status(thm)],[sunday_not_wednesday]) ).
tff(c_0_63,plain,
~ same_person(a,c),
inference(fof_nnf,[status(thm)],[c_0_51]) ).
tcf(c_0_64,hypothesis,
( all_on(thursday)
| all_on(sunday)
| on(b,monday)
| on(c,wednesday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
tcf(c_0_65,hypothesis,
~ on(a,sunday),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
tff(c_0_66,hypothesis,
~ on(a,thursday),
inference(fof_nnf,[status(thm)],[c_0_56]) ).
tcf(c_0_67,hypothesis,
! [X3: person,X1: day] :
( ~ on(X3,X1)
| ~ on(X3,wednesday)
| ~ on(X3,thursday)
| ~ consecutive(X1,wednesday) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
tcf(c_0_68,plain,
consecutive(tuesday,wednesday),
inference(split_conjunct,[status(thm)],[wednesday_follows_tuesday]) ).
tcf(c_0_69,hypothesis,
~ on(c,sunday),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
tcf(c_0_70,hypothesis,
! [X2: day,X1: day] :
( on(b,X1)
| on(b,X2)
| on(c,X1)
| on(c,X2)
| same_day(X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
tff(c_0_71,plain,
~ same_day(sunday,wednesday),
inference(fof_nnf,[status(thm)],[c_0_62]) ).
tcf(c_0_72,plain,
~ same_person(a,c),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
tff(c_0_73,plain,
~ same_day(sunday,tuesday),
inference(fof_simplification,[status(thm)],[sunday_not_tuesday]) ).
tcf(c_0_74,hypothesis,
( all_on(thursday)
| on(c,wednesday)
| on(b,monday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_64]),c_0_65]) ).
tcf(c_0_75,hypothesis,
~ on(a,thursday),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
tcf(c_0_76,hypothesis,
! [X3: person] :
( ~ on(X3,tuesday)
| ~ on(X3,wednesday)
| ~ on(X3,thursday) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
tcf(c_0_77,hypothesis,
! [X1: day] :
( on(c,X1)
| on(b,X1)
| on(b,sunday)
| same_day(sunday,X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
tcf(c_0_78,plain,
~ same_day(sunday,wednesday),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
tcf(c_0_79,hypothesis,
! [X2: day,X1: day] :
( on(a,X1)
| on(a,X2)
| on(c,X1)
| on(c,X2)
| same_day(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_61]) ).
tff(c_0_80,plain,
~ same_day(sunday,tuesday),
inference(fof_nnf,[status(thm)],[c_0_73]) ).
tff(c_0_81,plain,
~ same_day(sunday,thursday),
inference(fof_simplification,[status(thm)],[sunday_not_thursday]) ).
tcf(c_0_82,hypothesis,
( on(b,monday)
| on(c,wednesday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_74]),c_0_75]) ).
tff(c_0_83,plain,
~ same_person(a,b),
inference(fof_simplification,[status(thm)],[a_not_b]) ).
tcf(c_0_84,hypothesis,
! [X1: day,X3: person,X2: day] :
( ~ on(X3,X2)
| ~ on(X3,X1)
| ~ on(X3,wednesday)
| ~ consecutive(X2,X1)
| ~ consecutive(X1,wednesday) ),
inference(spm,[status(thm)],[c_0_46,c_0_58]) ).
tcf(c_0_85,hypothesis,
( ~ on(c,tuesday)
| ~ on(c,thursday)
| on(b,sunday)
| on(b,wednesday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
tcf(c_0_86,hypothesis,
! [X1: day] :
( on(c,X1)
| on(a,X1)
| same_day(sunday,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_65]) ).
tcf(c_0_87,plain,
~ same_day(sunday,tuesday),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
tff(c_0_88,plain,
~ same_day(sunday,thursday),
inference(fof_nnf,[status(thm)],[c_0_81]) ).
tcf(c_0_89,hypothesis,
( ~ on(c,tuesday)
| ~ on(c,thursday)
| on(b,monday) ),
inference(spm,[status(thm)],[c_0_76,c_0_82]) ).
tff(c_0_90,hypothesis,
~ on(b,thursday),
inference(fof_simplification,[status(thm)],[b_off_thursday]) ).
tff(c_0_91,plain,
~ same_person(a,b),
inference(fof_nnf,[status(thm)],[c_0_83]) ).
tcf(c_0_92,hypothesis,
! [X3: person,X1: day] :
( ~ on(X3,X1)
| ~ on(X3,tuesday)
| ~ on(X3,wednesday)
| ~ consecutive(X1,tuesday) ),
inference(spm,[status(thm)],[c_0_84,c_0_68]) ).
tcf(c_0_93,plain,
consecutive(monday,tuesday),
inference(split_conjunct,[status(thm)],[tuesday_follows_monday]) ).
tcf(c_0_94,hypothesis,
( ~ on(c,thursday)
| on(b,wednesday)
| on(b,sunday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_54]) ).
tcf(c_0_95,plain,
~ same_day(sunday,thursday),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
tcf(c_0_96,hypothesis,
( ~ on(c,thursday)
| on(b,monday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_86]),c_0_87]),c_0_54]) ).
tff(c_0_97,hypothesis,
~ on(b,thursday),
inference(fof_nnf,[status(thm)],[c_0_90]) ).
tcf(c_0_98,plain,
~ same_person(a,b),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
tff(c_0_99,plain,
~ same_day(tuesday,thursday),
inference(fof_simplification,[status(thm)],[tuesday_not_thursday]) ).
tcf(c_0_100,hypothesis,
! [X1: day,X3: person,X2: day] :
( ~ on(X3,X2)
| ~ on(X3,X1)
| ~ on(X3,tuesday)
| ~ consecutive(X2,X1)
| ~ consecutive(X1,tuesday) ),
inference(spm,[status(thm)],[c_0_46,c_0_68]) ).
tcf(c_0_101,hypothesis,
! [X3: person] :
( ~ on(X3,monday)
| ~ on(X3,tuesday)
| ~ on(X3,wednesday) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
tcf(c_0_102,hypothesis,
( on(b,sunday)
| on(b,wednesday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_86]),c_0_95]),c_0_75]) ).
tcf(c_0_103,hypothesis,
on(b,monday),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_86]),c_0_95]),c_0_75]) ).
tcf(c_0_104,hypothesis,
~ on(b,thursday),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
tcf(c_0_105,hypothesis,
! [X2: day,X1: day] :
( on(a,X1)
| on(a,X2)
| on(b,X1)
| on(b,X2)
| same_day(X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_61]) ).
tff(c_0_106,plain,
~ same_day(tuesday,thursday),
inference(fof_nnf,[status(thm)],[c_0_99]) ).
tcf(c_0_107,hypothesis,
! [X3: person,X1: day] :
( ~ on(X3,X1)
| ~ on(X3,monday)
| ~ on(X3,tuesday)
| ~ consecutive(X1,monday) ),
inference(spm,[status(thm)],[c_0_100,c_0_93]) ).
tcf(c_0_108,plain,
consecutive(sunday,monday),
inference(split_conjunct,[status(thm)],[monday_follows_sunday]) ).
tcf(c_0_109,hypothesis,
( ~ on(b,tuesday)
| on(b,sunday) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
tcf(c_0_110,hypothesis,
! [X1: day] :
( on(b,X1)
| on(a,X1)
| same_day(X1,thursday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_75]) ).
tcf(c_0_111,plain,
~ same_day(tuesday,thursday),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
tcf(c_0_112,hypothesis,
! [X3: person] :
( ~ on(X3,sunday)
| ~ on(X3,monday)
| ~ on(X3,tuesday) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
tcf(c_0_113,hypothesis,
on(b,sunday),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_54]) ).
tcf(c_0_114,hypothesis,
~ on(b,tuesday),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_103]),c_0_113])]) ).
cnf(c_0_115,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_110]),c_0_111]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:44:58 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.52 % Version: 3.5.1
% 0.37/0.52 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.37/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.37/0.52 % Starting new_bool_3 with 300s (1) cores
% 0.37/0.52 % Starting new_bool_1 with 300s (1) cores
% 0.37/0.52 % Starting sh5l with 300s (1) cores
% 0.37/0.52 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1939239 completed with status 0
% 0.37/0.52 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.37/0.52 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.37/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.37/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.37/0.52 % No SInE strategy applied
% 0.37/0.52 % Search class: FGHNS-FFMM00-SFFFFFNN
% 0.37/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.37/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.37/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.37/0.52 % Starting new_bool_3 with 136s (1) cores
% 0.37/0.52 % Starting new_bool_1 with 136s (1) cores
% 0.37/0.52 % SubtermCWHack with pid 1939243 completed with status 0
% 0.37/0.52 % Result found by SubtermCWHack
% 0.37/0.52 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.37/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.37/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.37/0.52 % No SInE strategy applied
% 0.37/0.52 % Search class: FGHNS-FFMM00-SFFFFFNN
% 0.37/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.37/0.52 % Starting SubtermCWHack with 136s (1) cores
% 0.37/0.52 % Preprocessing time : 0.002 s
% 0.37/0.52
% 0.37/0.52 % Proof found!
% 0.37/0.52 % SZS status Theorem
% 0.37/0.52 % SZS output start CNFRefutation
% See solution above
% 0.37/0.52 % Parsed axioms : 65
% 0.37/0.52 % Removed by relevancy pruning/SinE : 0
% 0.37/0.52 % Initial clauses : 65
% 0.37/0.52 % Removed in clause preprocessing : 17
% 0.37/0.52 % Initial clauses in saturation : 48
% 0.37/0.52 % Processed clauses : 213
% 0.37/0.52 % ...of these trivial : 5
% 0.37/0.52 % ...subsumed : 35
% 0.37/0.52 % ...remaining for further processing : 173
% 0.37/0.52 % Other redundant clauses eliminated : 0
% 0.37/0.52 % Clauses deleted for lack of memory : 0
% 0.37/0.52 % Backward-subsumed : 56
% 0.37/0.52 % Backward-rewritten : 19
% 0.37/0.52 % Generated clauses : 656
% 0.37/0.52 % ...of the previous two non-redundant : 530
% 0.37/0.52 % ...aggressively subsumed : 0
% 0.37/0.52 % Contextual simplify-reflections : 10
% 0.37/0.52 % Paramodulations : 638
% 0.37/0.52 % Factorizations : 18
% 0.37/0.52 % NegExts : 0
% 0.37/0.52 % Equation resolutions : 0
% 0.37/0.52 % Disequality decompositions : 0
% 0.37/0.52 % Total rewrite steps : 137
% 0.37/0.52 % ...of those cached : 111
% 0.37/0.52 % Propositional unsat checks : 0
% 0.37/0.52 % Propositional check models : 0
% 0.37/0.52 % Propositional check unsatisfiable : 0
% 0.37/0.52 % Propositional clauses : 0
% 0.37/0.52 % Propositional clauses after purity: 0
% 0.37/0.52 % Propositional unsat core size : 0
% 0.37/0.52 % Propositional preprocessing time : 0.000
% 0.37/0.52 % Propositional encoding time : 0.000
% 0.37/0.52 % Propositional solver time : 0.000
% 0.37/0.52 % Success case prop preproc time : 0.000
% 0.37/0.52 % Success case prop encoding time : 0.000
% 0.37/0.52 % Success case prop solver time : 0.000
% 0.37/0.52 % Current number of processed clauses : 98
% 0.37/0.52 % Positive orientable unit clauses : 14
% 0.37/0.52 % Positive unorientable unit clauses: 0
% 0.37/0.52 % Negative unit clauses : 32
% 0.37/0.52 % Non-unit-clauses : 52
% 0.37/0.52 % Current number of unprocessed clauses: 228
% 0.37/0.52 % ...number of literals in the above : 1585
% 0.37/0.52 % Current number of archived formulas : 0
% 0.37/0.52 % Current number of archived clauses : 75
% 0.37/0.52 % Clause-clause subsumption calls (NU) : 3298
% 0.37/0.52 % Rec. Clause-clause subsumption calls : 924
% 0.37/0.52 % Non-unit clause-clause subsumptions : 84
% 0.37/0.52 % Unit Clause-clause subsumption calls : 217
% 0.37/0.52 % Rewrite failures with RHS unbound : 0
% 0.37/0.52 % BW rewrite match attempts : 4
% 0.37/0.52 % BW rewrite match successes : 4
% 0.37/0.52 % Condensation attempts : 0
% 0.37/0.52 % Condensation successes : 0
% 0.37/0.52 % Termbank termtop insertions : 11467
% 0.37/0.52 % Search garbage collected termcells : 120
% 0.37/0.52
% 0.37/0.52 % -------------------------------------------------
% 0.37/0.52 % User time : 0.026 s
% 0.37/0.52 % System time : 0.004 s
% 0.37/0.52 % Total time : 0.030 s
% 0.37/0.52 % Maximum resident set size: 3416 pages
% 0.37/0.52
% 0.37/0.52 % -------------------------------------------------
% 0.37/0.52 % User time : 0.093 s
% 0.37/0.52 % System time : 0.023 s
% 0.37/0.52 % Total time : 0.115 s
% 0.37/0.52 % Maximum resident set size: 4608 pages
% 0.37/0.52 % E exiting
%------------------------------------------------------------------------------