%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 08:54:16 AM UTC 2026
% Result : Theorem 0.64s 0.93s
% Output : Proof 0.64s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(monday,axiom,
monday(a_monday),
file('theBenchmark.p',monday) ).
fof(tuesday,axiom,
tuesday(a_tuesday),
file('theBenchmark.p',tuesday) ).
fof(wednesday,axiom,
wednesday(a_wednesday),
file('theBenchmark.p',wednesday) ).
fof(thursday,axiom,
thursday(a_thursday),
file('theBenchmark.p',thursday) ).
fof(friday,axiom,
friday(a_friday),
file('theBenchmark.p',friday) ).
fof(saturday,axiom,
saturday(a_saturday),
file('theBenchmark.p',saturday) ).
fof(sunday,axiom,
sunday(a_sunday),
file('theBenchmark.p',sunday) ).
fof(monday_is_a_day,axiom,
! [X] :
( monday(X)
=> day(X) ),
file('theBenchmark.p',monday_is_a_day) ).
fof(tuesday_is_a_day,axiom,
! [X] :
( tuesday(X)
=> day(X) ),
file('theBenchmark.p',tuesday_is_a_day) ).
fof(wednesday_is_a_day,axiom,
! [X] :
( wednesday(X)
=> day(X) ),
file('theBenchmark.p',wednesday_is_a_day) ).
fof(thursday_is_a_day,axiom,
! [X] :
( thursday(X)
=> day(X) ),
file('theBenchmark.p',thursday_is_a_day) ).
fof(friday_is_a_day,axiom,
! [X] :
( friday(X)
=> day(X) ),
file('theBenchmark.p',friday_is_a_day) ).
fof(saturday_is_a_day,axiom,
! [X] :
( saturday(X)
=> day(X) ),
file('theBenchmark.p',saturday_is_a_day) ).
fof(sunday_is_a_day,axiom,
! [X] :
( sunday(X)
=> day(X) ),
file('theBenchmark.p',sunday_is_a_day) ).
fof(monday_follows_sunday,axiom,
! [X] :
( monday(X)
=> sunday(yesterday(X)) ),
file('theBenchmark.p',monday_follows_sunday) ).
fof(tuesday_follows_monday,axiom,
! [X] :
( tuesday(X)
=> monday(yesterday(X)) ),
file('theBenchmark.p',tuesday_follows_monday) ).
fof(wednesday_follows_tuesday,axiom,
! [X] :
( wednesday(X)
=> tuesday(yesterday(X)) ),
file('theBenchmark.p',wednesday_follows_tuesday) ).
fof(thursday_follows_wednesday,axiom,
! [X] :
( thursday(X)
=> wednesday(yesterday(X)) ),
file('theBenchmark.p',thursday_follows_wednesday) ).
fof(friday_follows_thursday,axiom,
! [X] :
( friday(X)
=> thursday(yesterday(X)) ),
file('theBenchmark.p',friday_follows_thursday) ).
fof(saturday_follows_friday,axiom,
! [X] :
( saturday(X)
=> friday(yesterday(X)) ),
file('theBenchmark.p',saturday_follows_friday) ).
fof(sunday_follows_saturday,axiom,
! [X] :
( sunday(X)
=> saturday(yesterday(X)) ),
file('theBenchmark.p',sunday_follows_saturday) ).
fof(lion_lies_monday,axiom,
! [X] :
( monday(X)
=> lion_lies(X) ),
file('theBenchmark.p',lion_lies_monday) ).
fof(lion_lies_tuesday,axiom,
! [X] :
( tuesday(X)
=> lion_lies(X) ),
file('theBenchmark.p',lion_lies_tuesday) ).
fof(lion_lies_wednesday,axiom,
! [X] :
( wednesday(X)
=> lion_lies(X) ),
file('theBenchmark.p',lion_lies_wednesday) ).
fof(lion_does_not_lie_thursday,axiom,
! [X] :
( thursday(X)
=> ~ lion_lies(X) ),
file('theBenchmark.p',lion_does_not_lie_thursday) ).
fof(lion_does_not_lie_friday,axiom,
! [X] :
( friday(X)
=> ~ lion_lies(X) ),
file('theBenchmark.p',lion_does_not_lie_friday) ).
fof(lion_does_not_lie_saturday,axiom,
! [X] :
( saturday(X)
=> ~ lion_lies(X) ),
file('theBenchmark.p',lion_does_not_lie_saturday) ).
fof(lion_does_not_lie_sunday,axiom,
! [X] :
( sunday(X)
=> ~ lion_lies(X) ),
file('theBenchmark.p',lion_does_not_lie_sunday) ).
fof(unicorn_does_not_lie_monday,axiom,
! [X] :
( monday(X)
=> ~ unicorn_lies(X) ),
file('theBenchmark.p',unicorn_does_not_lie_monday) ).
fof(unicorn_does_not_lie_tuesday,axiom,
! [X] :
( tuesday(X)
=> ~ unicorn_lies(X) ),
file('theBenchmark.p',unicorn_does_not_lie_tuesday) ).
fof(unicorn_does_not_lie_wednesday,axiom,
! [X] :
( wednesday(X)
=> ~ unicorn_lies(X) ),
file('theBenchmark.p',unicorn_does_not_lie_wednesday) ).
fof(unicorn_lies_thursday,axiom,
! [X] :
( thursday(X)
=> unicorn_lies(X) ),
file('theBenchmark.p',unicorn_lies_thursday) ).
fof(unicorn_lies_friday,axiom,
! [X] :
( friday(X)
=> unicorn_lies(X) ),
file('theBenchmark.p',unicorn_lies_friday) ).
fof(unicorn_lies_saturday,axiom,
! [X] :
( saturday(X)
=> unicorn_lies(X) ),
file('theBenchmark.p',unicorn_lies_saturday) ).
fof(unicorn_does_not_lie_sunday,axiom,
! [X] :
( sunday(X)
=> ~ unicorn_lies(X) ),
file('theBenchmark.p',unicorn_does_not_lie_sunday) ).
fof(lion_lies_on_a_day,axiom,
! [X] :
( lion_lies(X)
=> day(X) ),
file('theBenchmark.p',lion_lies_on_a_day) ).
fof(unicorn_lies_on_a_day,axiom,
! [X] :
( unicorn_lies(X)
=> day(X) ),
file('theBenchmark.p',unicorn_lies_on_a_day) ).
fof(lion_lies_on_this_day,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( lies_on_one_of(a_lion,X,Y)
& lion_lies(X) )
=> ~ lion_lies(Y) ) ) ),
file('theBenchmark.p',lion_lies_on_this_day) ).
fof(lion_lies_on_other_day,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( lies_on_one_of(a_lion,X,Y)
& ~ lion_lies(X) )
=> lion_lies(Y) ) ) ),
file('theBenchmark.p',lion_lies_on_other_day) ).
fof(lion_lies_on_neither,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_lion,X,Y)
& ~ lion_lies(X) )
=> ~ lion_lies(Y) ) ) ),
file('theBenchmark.p',lion_lies_on_neither) ).
fof(lion_lies_on_both,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_lion,X,Y)
& lion_lies(X) )
=> lion_lies(Y) ) ) ),
file('theBenchmark.p',lion_lies_on_both) ).
fof(unicorn_lies_on_this_day,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( lies_on_one_of(a_unicorn,X,Y)
& unicorn_lies(X) )
=> ~ unicorn_lies(Y) ) ) ),
file('theBenchmark.p',unicorn_lies_on_this_day) ).
fof(unicorn_lies_on_other_day,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( lies_on_one_of(a_unicorn,X,Y)
& ~ unicorn_lies(X) )
=> unicorn_lies(Y) ) ) ),
file('theBenchmark.p',unicorn_lies_on_other_day) ).
fof(unicorn_lies_on_neither,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_unicorn,X,Y)
& ~ unicorn_lies(X) )
=> ~ unicorn_lies(Y) ) ) ),
file('theBenchmark.p',unicorn_lies_on_neither) ).
fof(unicorn_lies_on_both,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_unicorn,X,Y)
& unicorn_lies(X) )
=> unicorn_lies(Y) ) ) ),
file('theBenchmark.p',unicorn_lies_on_both) ).
fof(prove_there_are_close_lying_days,conjecture,
? [X] :
( lies_on_one_of(a_unicorn,X,yesterday(X))
& lies_on_one_of(a_lion,X,yesterday(X))
& day(X) ),
file('theBenchmark.p',prove_there_are_close_lying_days) ).
fof(f_1_1,plain,
monday(a_monday),
inference(fof_nnf,[status(thm)],[monday]) ).
cnf(f_1_2,plain,
monday(a_monday),
inference(clausify,[status(thm)],[f_1_1]) ).
fof(f_2_1,plain,
tuesday(a_tuesday),
inference(fof_nnf,[status(thm)],[tuesday]) ).
cnf(f_2_2,plain,
tuesday(a_tuesday),
inference(clausify,[status(thm)],[f_2_1]) ).
fof(f_3_1,plain,
wednesday(a_wednesday),
inference(fof_nnf,[status(thm)],[wednesday]) ).
cnf(f_3_2,plain,
wednesday(a_wednesday),
inference(clausify,[status(thm)],[f_3_1]) ).
fof(f_4_1,plain,
thursday(a_thursday),
inference(fof_nnf,[status(thm)],[thursday]) ).
cnf(f_4_2,plain,
thursday(a_thursday),
inference(clausify,[status(thm)],[f_4_1]) ).
fof(f_5_1,plain,
friday(a_friday),
inference(fof_nnf,[status(thm)],[friday]) ).
cnf(f_5_2,plain,
friday(a_friday),
inference(clausify,[status(thm)],[f_5_1]) ).
fof(f_6_1,plain,
saturday(a_saturday),
inference(fof_nnf,[status(thm)],[saturday]) ).
cnf(f_6_2,plain,
saturday(a_saturday),
inference(clausify,[status(thm)],[f_6_1]) ).
fof(f_7_1,plain,
sunday(a_sunday),
inference(fof_nnf,[status(thm)],[sunday]) ).
cnf(f_7_2,plain,
sunday(a_sunday),
inference(clausify,[status(thm)],[f_7_1]) ).
fof(f_8_1,plain,
! [X] :
( day(X)
| ~ monday(X) ),
inference(fof_nnf,[status(thm)],[monday_is_a_day]) ).
fof(f_8_2,plain,
! [U_0] :
( day(U_0)
| ~ monday(U_0) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( day(U_0)
| ~ monday(U_0) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [X] :
( day(X)
| ~ tuesday(X) ),
inference(fof_nnf,[status(thm)],[tuesday_is_a_day]) ).
fof(f_9_2,plain,
! [U_1] :
( day(U_1)
| ~ tuesday(U_1) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( day(U_1)
| ~ tuesday(U_1) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [X] :
( day(X)
| ~ wednesday(X) ),
inference(fof_nnf,[status(thm)],[wednesday_is_a_day]) ).
fof(f_10_2,plain,
! [U_2] :
( day(U_2)
| ~ wednesday(U_2) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( day(U_2)
| ~ wednesday(U_2) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_11_1,plain,
! [X] :
( day(X)
| ~ thursday(X) ),
inference(fof_nnf,[status(thm)],[thursday_is_a_day]) ).
fof(f_11_2,plain,
! [U_3] :
( day(U_3)
| ~ thursday(U_3) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( day(U_3)
| ~ thursday(U_3) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [X] :
( day(X)
| ~ friday(X) ),
inference(fof_nnf,[status(thm)],[friday_is_a_day]) ).
fof(f_12_2,plain,
! [U_4] :
( day(U_4)
| ~ friday(U_4) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( day(U_4)
| ~ friday(U_4) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [X] :
( day(X)
| ~ saturday(X) ),
inference(fof_nnf,[status(thm)],[saturday_is_a_day]) ).
fof(f_13_2,plain,
! [U_5] :
( day(U_5)
| ~ saturday(U_5) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
cnf(f_13_3,plain,
( day(U_5)
| ~ saturday(U_5) ),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,plain,
! [X] :
( day(X)
| ~ sunday(X) ),
inference(fof_nnf,[status(thm)],[sunday_is_a_day]) ).
fof(f_14_2,plain,
! [U_6] :
( day(U_6)
| ~ sunday(U_6) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( day(U_6)
| ~ sunday(U_6) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,plain,
! [X] :
( sunday(yesterday(X))
| ~ monday(X) ),
inference(fof_nnf,[status(thm)],[monday_follows_sunday]) ).
fof(f_15_2,plain,
! [U_7] :
( sunday(yesterday(U_7))
| ~ monday(U_7) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_3,plain,
( sunday(yesterday(U_7))
| ~ monday(U_7) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_16_1,plain,
! [X] :
( monday(yesterday(X))
| ~ tuesday(X) ),
inference(fof_nnf,[status(thm)],[tuesday_follows_monday]) ).
fof(f_16_2,plain,
! [U_8] :
( monday(yesterday(U_8))
| ~ tuesday(U_8) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
cnf(f_16_3,plain,
( monday(yesterday(U_8))
| ~ tuesday(U_8) ),
inference(clausify,[status(thm)],[f_16_2]) ).
fof(f_17_1,plain,
! [X] :
( tuesday(yesterday(X))
| ~ wednesday(X) ),
inference(fof_nnf,[status(thm)],[wednesday_follows_tuesday]) ).
fof(f_17_2,plain,
! [U_9] :
( tuesday(yesterday(U_9))
| ~ wednesday(U_9) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
cnf(f_17_3,plain,
( tuesday(yesterday(U_9))
| ~ wednesday(U_9) ),
inference(clausify,[status(thm)],[f_17_2]) ).
fof(f_18_1,plain,
! [X] :
( wednesday(yesterday(X))
| ~ thursday(X) ),
inference(fof_nnf,[status(thm)],[thursday_follows_wednesday]) ).
fof(f_18_2,plain,
! [U_10] :
( wednesday(yesterday(U_10))
| ~ thursday(U_10) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( wednesday(yesterday(U_10))
| ~ thursday(U_10) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_19_1,plain,
! [X] :
( thursday(yesterday(X))
| ~ friday(X) ),
inference(fof_nnf,[status(thm)],[friday_follows_thursday]) ).
fof(f_19_2,plain,
! [U_11] :
( thursday(yesterday(U_11))
| ~ friday(U_11) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
cnf(f_19_3,plain,
( thursday(yesterday(U_11))
| ~ friday(U_11) ),
inference(clausify,[status(thm)],[f_19_2]) ).
fof(f_20_1,plain,
! [X] :
( friday(yesterday(X))
| ~ saturday(X) ),
inference(fof_nnf,[status(thm)],[saturday_follows_friday]) ).
fof(f_20_2,plain,
! [U_12] :
( friday(yesterday(U_12))
| ~ saturday(U_12) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
cnf(f_20_3,plain,
( friday(yesterday(U_12))
| ~ saturday(U_12) ),
inference(clausify,[status(thm)],[f_20_2]) ).
fof(f_21_1,plain,
! [X] :
( saturday(yesterday(X))
| ~ sunday(X) ),
inference(fof_nnf,[status(thm)],[sunday_follows_saturday]) ).
fof(f_21_2,plain,
! [U_13] :
( saturday(yesterday(U_13))
| ~ sunday(U_13) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( saturday(yesterday(U_13))
| ~ sunday(U_13) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_22_1,plain,
! [X] :
( lion_lies(X)
| ~ monday(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_monday]) ).
fof(f_22_2,plain,
! [U_14] :
( lion_lies(U_14)
| ~ monday(U_14) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
cnf(f_22_3,plain,
( lion_lies(U_14)
| ~ monday(U_14) ),
inference(clausify,[status(thm)],[f_22_2]) ).
fof(f_23_1,plain,
! [X] :
( lion_lies(X)
| ~ tuesday(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_tuesday]) ).
fof(f_23_2,plain,
! [U_15] :
( lion_lies(U_15)
| ~ tuesday(U_15) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
cnf(f_23_3,plain,
( lion_lies(U_15)
| ~ tuesday(U_15) ),
inference(clausify,[status(thm)],[f_23_2]) ).
fof(f_24_1,plain,
! [X] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_wednesday]) ).
fof(f_24_2,plain,
! [U_16] :
( lion_lies(U_16)
| ~ wednesday(U_16) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
cnf(f_24_3,plain,
( lion_lies(U_16)
| ~ wednesday(U_16) ),
inference(clausify,[status(thm)],[f_24_2]) ).
fof(f_25_1,plain,
! [X] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(fof_nnf,[status(thm)],[lion_does_not_lie_thursday]) ).
fof(f_25_2,plain,
! [U_17] :
( ~ lion_lies(U_17)
| ~ thursday(U_17) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
cnf(f_25_3,plain,
( ~ lion_lies(U_17)
| ~ thursday(U_17) ),
inference(clausify,[status(thm)],[f_25_2]) ).
fof(f_26_1,plain,
! [X] :
( ~ lion_lies(X)
| ~ friday(X) ),
inference(fof_nnf,[status(thm)],[lion_does_not_lie_friday]) ).
fof(f_26_2,plain,
! [U_18] :
( ~ lion_lies(U_18)
| ~ friday(U_18) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
cnf(f_26_3,plain,
( ~ lion_lies(U_18)
| ~ friday(U_18) ),
inference(clausify,[status(thm)],[f_26_2]) ).
fof(f_27_1,plain,
! [X] :
( ~ lion_lies(X)
| ~ saturday(X) ),
inference(fof_nnf,[status(thm)],[lion_does_not_lie_saturday]) ).
fof(f_27_2,plain,
! [U_19] :
( ~ lion_lies(U_19)
| ~ saturday(U_19) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
cnf(f_27_3,plain,
( ~ lion_lies(U_19)
| ~ saturday(U_19) ),
inference(clausify,[status(thm)],[f_27_2]) ).
fof(f_28_1,plain,
! [X] :
( ~ lion_lies(X)
| ~ sunday(X) ),
inference(fof_nnf,[status(thm)],[lion_does_not_lie_sunday]) ).
fof(f_28_2,plain,
! [U_20] :
( ~ lion_lies(U_20)
| ~ sunday(U_20) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
cnf(f_28_3,plain,
( ~ lion_lies(U_20)
| ~ sunday(U_20) ),
inference(clausify,[status(thm)],[f_28_2]) ).
fof(f_29_1,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ monday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_does_not_lie_monday]) ).
fof(f_29_2,plain,
! [U_21] :
( ~ unicorn_lies(U_21)
| ~ monday(U_21) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
cnf(f_29_3,plain,
( ~ unicorn_lies(U_21)
| ~ monday(U_21) ),
inference(clausify,[status(thm)],[f_29_2]) ).
fof(f_30_1,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ tuesday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_does_not_lie_tuesday]) ).
fof(f_30_2,plain,
! [U_22] :
( ~ unicorn_lies(U_22)
| ~ tuesday(U_22) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
cnf(f_30_3,plain,
( ~ unicorn_lies(U_22)
| ~ tuesday(U_22) ),
inference(clausify,[status(thm)],[f_30_2]) ).
fof(f_31_1,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_does_not_lie_wednesday]) ).
fof(f_31_2,plain,
! [U_23] :
( ~ unicorn_lies(U_23)
| ~ wednesday(U_23) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
cnf(f_31_3,plain,
( ~ unicorn_lies(U_23)
| ~ wednesday(U_23) ),
inference(clausify,[status(thm)],[f_31_2]) ).
fof(f_32_1,plain,
! [X] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_thursday]) ).
fof(f_32_2,plain,
! [U_24] :
( unicorn_lies(U_24)
| ~ thursday(U_24) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
cnf(f_32_3,plain,
( unicorn_lies(U_24)
| ~ thursday(U_24) ),
inference(clausify,[status(thm)],[f_32_2]) ).
fof(f_33_1,plain,
! [X] :
( unicorn_lies(X)
| ~ friday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_friday]) ).
fof(f_33_2,plain,
! [U_25] :
( unicorn_lies(U_25)
| ~ friday(U_25) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
cnf(f_33_3,plain,
( unicorn_lies(U_25)
| ~ friday(U_25) ),
inference(clausify,[status(thm)],[f_33_2]) ).
fof(f_34_1,plain,
! [X] :
( unicorn_lies(X)
| ~ saturday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_saturday]) ).
fof(f_34_2,plain,
! [U_26] :
( unicorn_lies(U_26)
| ~ saturday(U_26) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( unicorn_lies(U_26)
| ~ saturday(U_26) ),
inference(clausify,[status(thm)],[f_34_2]) ).
fof(f_35_1,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ sunday(X) ),
inference(fof_nnf,[status(thm)],[unicorn_does_not_lie_sunday]) ).
fof(f_35_2,plain,
! [U_27] :
( ~ unicorn_lies(U_27)
| ~ sunday(U_27) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
cnf(f_35_3,plain,
( ~ unicorn_lies(U_27)
| ~ sunday(U_27) ),
inference(clausify,[status(thm)],[f_35_2]) ).
fof(f_36_1,plain,
! [X] :
( day(X)
| ~ lion_lies(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_on_a_day]) ).
fof(f_36_2,plain,
! [U_28] :
( day(U_28)
| ~ lion_lies(U_28) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
cnf(f_36_3,plain,
( day(U_28)
| ~ lion_lies(U_28) ),
inference(clausify,[status(thm)],[f_36_2]) ).
fof(f_37_1,plain,
! [X] :
( day(X)
| ~ unicorn_lies(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_on_a_day]) ).
fof(f_37_2,plain,
! [U_29] :
( day(U_29)
| ~ unicorn_lies(U_29) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
cnf(f_37_3,plain,
( day(U_29)
| ~ unicorn_lies(U_29) ),
inference(clausify,[status(thm)],[f_37_2]) ).
fof(f_38_1,plain,
! [X] :
( ! [Y] :
( ~ lion_lies(Y)
| ~ lies_on_one_of(a_lion,X,Y)
| ~ lion_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_on_this_day]) ).
fof(f_38_2,plain,
! [U_31] :
( ! [U_30] :
( ~ lion_lies(U_30)
| ~ lies_on_one_of(a_lion,U_31,U_30)
| ~ lion_lies(U_31)
| ~ day(U_30) )
| ~ day(U_31) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
cnf(f_38_3,plain,
( ~ lion_lies(U_30)
| ~ lies_on_one_of(a_lion,U_31,U_30)
| ~ lion_lies(U_31)
| ~ day(U_30)
| ~ day(U_31) ),
inference(clausify,[status(thm)],[f_38_2]) ).
fof(f_39_1,plain,
! [X] :
( ! [Y] :
( lion_lies(Y)
| ~ lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_on_other_day]) ).
fof(f_39_2,plain,
! [U_33] :
( ! [U_32] :
( lion_lies(U_32)
| ~ lies_on_one_of(a_lion,U_33,U_32)
| lion_lies(U_33)
| ~ day(U_32) )
| ~ day(U_33) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
cnf(f_39_3,plain,
( lion_lies(U_32)
| ~ lies_on_one_of(a_lion,U_33,U_32)
| lion_lies(U_33)
| ~ day(U_32)
| ~ day(U_33) ),
inference(clausify,[status(thm)],[f_39_2]) ).
fof(f_40_1,plain,
! [X] :
( ! [Y] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_on_neither]) ).
fof(f_40_2,plain,
! [U_35] :
( ! [U_34] :
( ~ lion_lies(U_34)
| lies_on_one_of(a_lion,U_35,U_34)
| lion_lies(U_35)
| ~ day(U_34) )
| ~ day(U_35) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
cnf(f_40_3,plain,
( ~ lion_lies(U_34)
| lies_on_one_of(a_lion,U_35,U_34)
| lion_lies(U_35)
| ~ day(U_34)
| ~ day(U_35) ),
inference(clausify,[status(thm)],[f_40_2]) ).
fof(f_41_1,plain,
! [X] :
( ! [Y] :
( lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| ~ lion_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[lion_lies_on_both]) ).
fof(f_41_2,plain,
! [U_37] :
( ! [U_36] :
( lion_lies(U_36)
| lies_on_one_of(a_lion,U_37,U_36)
| ~ lion_lies(U_37)
| ~ day(U_36) )
| ~ day(U_37) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
cnf(f_41_3,plain,
( lion_lies(U_36)
| lies_on_one_of(a_lion,U_37,U_36)
| ~ lion_lies(U_37)
| ~ day(U_36)
| ~ day(U_37) ),
inference(clausify,[status(thm)],[f_41_2]) ).
fof(f_42_1,plain,
! [X] :
( ! [Y] :
( ~ unicorn_lies(Y)
| ~ lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_on_this_day]) ).
fof(f_42_2,plain,
! [U_39] :
( ! [U_38] :
( ~ unicorn_lies(U_38)
| ~ lies_on_one_of(a_unicorn,U_39,U_38)
| ~ unicorn_lies(U_39)
| ~ day(U_38) )
| ~ day(U_39) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( ~ unicorn_lies(U_38)
| ~ lies_on_one_of(a_unicorn,U_39,U_38)
| ~ unicorn_lies(U_39)
| ~ day(U_38)
| ~ day(U_39) ),
inference(clausify,[status(thm)],[f_42_2]) ).
fof(f_43_1,plain,
! [X] :
( ! [Y] :
( unicorn_lies(Y)
| ~ lies_on_one_of(a_unicorn,X,Y)
| unicorn_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_on_other_day]) ).
fof(f_43_2,plain,
! [U_41] :
( ! [U_40] :
( unicorn_lies(U_40)
| ~ lies_on_one_of(a_unicorn,U_41,U_40)
| unicorn_lies(U_41)
| ~ day(U_40) )
| ~ day(U_41) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
cnf(f_43_3,plain,
( unicorn_lies(U_40)
| ~ lies_on_one_of(a_unicorn,U_41,U_40)
| unicorn_lies(U_41)
| ~ day(U_40)
| ~ day(U_41) ),
inference(clausify,[status(thm)],[f_43_2]) ).
fof(f_44_1,plain,
! [X] :
( ! [Y] :
( ~ unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| unicorn_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_on_neither]) ).
fof(f_44_2,plain,
! [U_43] :
( ! [U_42] :
( ~ unicorn_lies(U_42)
| lies_on_one_of(a_unicorn,U_43,U_42)
| unicorn_lies(U_43)
| ~ day(U_42) )
| ~ day(U_43) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
cnf(f_44_3,plain,
( ~ unicorn_lies(U_42)
| lies_on_one_of(a_unicorn,U_43,U_42)
| unicorn_lies(U_43)
| ~ day(U_42)
| ~ day(U_43) ),
inference(clausify,[status(thm)],[f_44_2]) ).
fof(f_45_1,plain,
! [X] :
( ! [Y] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[unicorn_lies_on_both]) ).
fof(f_45_2,plain,
! [U_45] :
( ! [U_44] :
( unicorn_lies(U_44)
| lies_on_one_of(a_unicorn,U_45,U_44)
| ~ unicorn_lies(U_45)
| ~ day(U_44) )
| ~ day(U_45) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
cnf(f_45_3,plain,
( unicorn_lies(U_44)
| lies_on_one_of(a_unicorn,U_45,U_44)
| ~ unicorn_lies(U_45)
| ~ day(U_44)
| ~ day(U_45) ),
inference(clausify,[status(thm)],[f_45_2]) ).
fof(f_46_1,negated_conjecture,
~ ? [X] :
( lies_on_one_of(a_unicorn,X,yesterday(X))
& lies_on_one_of(a_lion,X,yesterday(X))
& day(X) ),
inference(negate,[status(cth)],[prove_there_are_close_lying_days]) ).
fof(f_46_2,negated_conjecture,
! [X] :
( ~ lies_on_one_of(a_unicorn,X,yesterday(X))
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ day(X) ),
inference(fof_nnf,[status(thm)],[f_46_1]) ).
fof(f_46_3,negated_conjecture,
! [U_46] :
( ~ lies_on_one_of(a_unicorn,U_46,yesterday(U_46))
| ~ lies_on_one_of(a_lion,U_46,yesterday(U_46))
| ~ day(U_46) ),
inference(variable_rename,[status(thm)],[f_46_2]) ).
fof(f_46_4,negated_conjecture,
! [U_46] :
( ~ lies_on_one_of(a_unicorn,U_46,yesterday(U_46))
| ~ lies_on_one_of(a_lion,U_46,yesterday(U_46))
| ~ day(U_46) ),
inference(definitional_conversion,[status(esa)],[f_46_3]) ).
cnf(f_46_5,negated_conjecture,
( ~ lies_on_one_of(a_unicorn,U_46,yesterday(U_46))
| ~ lies_on_one_of(a_lion,U_46,yesterday(U_46))
| ~ day(U_46) ),
inference(clausify,[status(thm)],[f_46_4]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 19 20:00:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.64/0.93 % SZS status Theorem for theBenchmark
% 0.64/0.93 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------