TSTP Solution File: PUZ018_1 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 : Fri May 19 11:47:25 EDT 2023
% Result : Theorem 3.42s 1.79s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 65
% Syntax : Number of formulae : 115 ( 82 unt; 17 typ; 0 def)
% Number of atoms : 146 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 373 ( 64 ~; 22 |; 16 &; 261 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(day_type,type,
day: $tType ).
thf(person_type,type,
person: $tType ).
thf(all_on_type,type,
all_on: day > $o ).
thf(on_type,type,
on: person > day > $o ).
thf(consecutive_type,type,
consecutive: day > day > $o ).
thf(same_day_type,type,
same_day: day > day > $o ).
thf(same_person_type,type,
same_person: person > person > $o ).
thf(a_type,type,
a: person ).
thf(b_type,type,
b: person ).
thf(c_type,type,
c: person ).
thf(monday_type,type,
monday: day ).
thf(tuesday_type,type,
tuesday: day ).
thf(wednesday_type,type,
wednesday: day ).
thf(thursday_type,type,
thursday: day ).
thf(friday_type,type,
friday: day ).
thf(sunday_type,type,
sunday: day ).
thf(saturday_type,type,
saturday: day ).
thf(39,axiom,
~ ( same_day @ friday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_not_saturday) ).
thf(120,plain,
~ ( same_day @ friday @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(34,axiom,
~ ( on @ b @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
thf(110,plain,
~ ( on @ b @ thursday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(32,axiom,
! [A: person,B: day,C: day,D: person] :
( ( on @ A @ B )
| ( on @ A @ C )
| ( on @ D @ B )
| ( on @ D @ C )
| ( same_person @ A @ D )
| ( same_day @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
thf(106,plain,
! [A: person,B: day,C: day,D: person] :
( ( on @ A @ B )
| ( on @ A @ C )
| ( on @ D @ B )
| ( on @ D @ C )
| ( same_person @ A @ D )
| ( same_day @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(4,axiom,
~ ( same_day @ sunday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_saturday) ).
thf(53,plain,
~ ( same_day @ sunday @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(44,axiom,
! [A: day] :
( ( all_on @ A )
=> ( on @ c @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
thf(129,plain,
! [A: day] :
( ( all_on @ A )
=> ( on @ c @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(18,axiom,
~ ( same_day @ tuesday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_saturday) ).
thf(81,plain,
~ ( same_day @ tuesday @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(30,axiom,
consecutive @ saturday @ sunday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_follows_saturday) ).
thf(103,plain,
consecutive @ saturday @ sunday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(35,axiom,
~ ( same_day @ monday @ wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_wednesday) ).
thf(112,plain,
~ ( same_day @ monday @ wednesday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(15,axiom,
! [A: day] : ( same_day @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_same_day) ).
thf(75,plain,
! [A: day] : ( same_day @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(3,axiom,
! [A: person] : ( same_person @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_same_person) ).
thf(51,plain,
! [A: person] : ( same_person @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(45,axiom,
~ ( same_day @ wednesday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_friday) ).
thf(131,plain,
~ ( same_day @ wednesday @ friday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(12,axiom,
~ ( same_day @ monday @ tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_tuesday) ).
thf(69,plain,
~ ( same_day @ monday @ tuesday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(49,axiom,
! [A: day] :
( ( ( on @ a @ A )
& ( on @ b @ A )
& ( on @ c @ A ) )
=> ( all_on @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on) ).
thf(138,plain,
! [A: day] :
( ( ( on @ a @ A )
& ( on @ b @ A )
& ( on @ c @ A ) )
=> ( all_on @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(29,axiom,
~ ( same_day @ tuesday @ wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_wednesday) ).
thf(101,plain,
~ ( same_day @ tuesday @ wednesday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(25,axiom,
~ ( on @ c @ sunday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
thf(93,plain,
~ ( on @ c @ sunday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,axiom,
~ ( same_person @ a @ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
thf(57,plain,
~ ( same_person @ a @ b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,axiom,
~ ( same_day @ monday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_thursday) ).
thf(61,plain,
~ ( same_day @ monday @ thursday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(37,axiom,
~ ( same_day @ tuesday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_friday) ).
thf(116,plain,
~ ( same_day @ tuesday @ friday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(22,axiom,
consecutive @ monday @ tuesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
thf(89,plain,
consecutive @ monday @ tuesday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(46,axiom,
consecutive @ friday @ saturday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',staurday_follows_friday) ).
thf(133,plain,
consecutive @ friday @ saturday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(24,axiom,
consecutive @ sunday @ monday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
thf(92,plain,
consecutive @ sunday @ monday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(10,axiom,
~ ( on @ a @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
thf(65,plain,
~ ( on @ a @ thursday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(27,axiom,
~ ( same_day @ sunday @ tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
thf(97,plain,
~ ( same_day @ sunday @ tuesday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(33,axiom,
consecutive @ tuesday @ wednesday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
thf(109,plain,
consecutive @ tuesday @ wednesday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(41,axiom,
~ ( same_day @ thursday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_not_friday) ).
thf(124,plain,
~ ( same_day @ thursday @ friday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(16,axiom,
~ ( on @ a @ tuesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
thf(77,plain,
~ ( on @ a @ tuesday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(47,axiom,
! [A: day,B: day] :
( ( ( all_on @ A )
& ( all_on @ B ) )
=> ( same_day @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_well_defined) ).
thf(134,plain,
! [A: day,B: day] :
( ( ( all_on @ A )
& ( all_on @ B ) )
=> ( same_day @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(14,axiom,
~ ( on @ b @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
thf(73,plain,
~ ( on @ b @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(43,axiom,
consecutive @ thursday @ friday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
thf(128,plain,
consecutive @ thursday @ friday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(7,axiom,
~ ( same_person @ b @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_not_c) ).
thf(59,plain,
~ ( same_person @ b @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(38,axiom,
~ ( same_day @ sunday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_friday) ).
thf(118,plain,
~ ( same_day @ sunday @ friday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(13,axiom,
~ ( same_day @ wednesday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_thursday) ).
thf(71,plain,
~ ( same_day @ wednesday @ thursday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(20,axiom,
consecutive @ wednesday @ thursday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
thf(86,plain,
consecutive @ wednesday @ thursday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,axiom,
~ ( same_day @ sunday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
thf(63,plain,
~ ( same_day @ sunday @ thursday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
~ ( same_day @ thursday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_not_saturday) ).
thf(95,plain,
~ ( same_day @ thursday @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(1,conjecture,
all_on @ friday,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
thf(2,negated_conjecture,
~ ( all_on @ friday ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(50,plain,
~ ( all_on @ friday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,axiom,
~ ( same_person @ a @ c ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
thf(67,plain,
~ ( same_person @ a @ c ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(28,axiom,
~ ( same_day @ monday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_saturday) ).
thf(99,plain,
~ ( same_day @ monday @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(21,axiom,
~ ( same_day @ sunday @ monday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_monday) ).
thf(87,plain,
~ ( same_day @ sunday @ monday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(31,axiom,
~ ( on @ a @ sunday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
thf(104,plain,
~ ( on @ a @ sunday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(5,axiom,
~ ( same_day @ wednesday @ saturday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_not_saturday) ).
thf(55,plain,
~ ( same_day @ wednesday @ saturday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(36,axiom,
~ ( same_day @ monday @ friday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_not_friday) ).
thf(114,plain,
~ ( same_day @ monday @ friday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(17,axiom,
~ ( same_day @ sunday @ wednesday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_wednesday) ).
thf(79,plain,
~ ( same_day @ sunday @ wednesday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(42,axiom,
! [A: day] :
( ( all_on @ A )
=> ( on @ a @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
thf(126,plain,
! [A: day] :
( ( all_on @ A )
=> ( on @ a @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(48,axiom,
( ( all_on @ sunday )
| ( all_on @ monday )
| ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
thf(136,plain,
( ( all_on @ sunday )
| ( all_on @ monday )
| ( all_on @ tuesday )
| ( all_on @ wednesday )
| ( all_on @ thursday )
| ( all_on @ friday )
| ( all_on @ saturday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(23,axiom,
~ ( same_day @ tuesday @ thursday ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
thf(90,plain,
~ ( same_day @ tuesday @ thursday ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(40,axiom,
! [A: day] :
( ( all_on @ A )
=> ( on @ b @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
thf(122,plain,
! [A: day] :
( ( all_on @ A )
=> ( on @ b @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(19,axiom,
! [A: day,B: day,C: day,D: day,E: person] :
~ ( ( consecutive @ A @ B )
& ( consecutive @ B @ C )
& ( consecutive @ C @ D )
& ( on @ E @ A )
& ( on @ E @ B )
& ( on @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
thf(83,plain,
! [A: day,B: day,C: day,D: day,E: person] :
~ ( ( consecutive @ A @ B )
& ( consecutive @ B @ C )
& ( consecutive @ C @ D )
& ( on @ E @ A )
& ( on @ E @ B )
& ( on @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(140,plain,
$false,
inference(e,[status(thm)],[120,110,106,53,129,81,103,112,75,51,131,69,138,101,93,57,61,116,89,133,92,65,97,109,124,77,134,73,128,59,118,71,86,63,95,50,67,99,87,104,55,114,79,126,136,90,122,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 18 20:09:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.82/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.10/1.00 % [INFO] Parsing done (135ms).
% 1.10/1.00 % [INFO] Running in sequential loop mode.
% 1.73/1.22 % [INFO] eprover registered as external prover.
% 1.73/1.22 % [INFO] cvc4 registered as external prover.
% 1.82/1.22 % [INFO] Scanning for conjecture ...
% 1.83/1.28 % [INFO] Found a conjecture and 47 axioms. Running axiom selection ...
% 2.00/1.32 % [INFO] Axiom selection finished. Selected 47 axioms (removed 0 axioms).
% 2.00/1.36 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.00/1.36 % [INFO] Type checking passed.
% 2.00/1.37 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.42/1.78 % External prover 'e' found a proof!
% 3.42/1.78 % [INFO] Killing All external provers ...
% 3.42/1.78 % Time passed: 1266ms (effective reasoning time: 774ms)
% 3.42/1.78 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.42/1.79 % Axioms used in derivation (47): all_on_one_day, reflexivity_for_same_person, all_on_b_on, sunday_not_tuesday, wednesday_not_saturday, wednesday_not_thursday, a_not_b, tuesday_not_thursday, b_off_saturday, sunday_not_saturday, thursday_not_friday, friday_follows_thursday, thursday_follows_wednesday, a_off_tuesday, sunday_not_monday, monday_not_saturday, wednesday_follows_tuesday, c_off_sunday, all_on_well_defined, a_off_thursday, sunday_follows_saturday, sunday_not_friday, all_on_a_on, b_not_c, a_not_c, sunday_not_wednesday, all_on_c_on, a_off_sunday, tuesday_follows_monday, no_two_off_twice_together, monday_not_wednesday, staurday_follows_friday, sunday_not_thursday, tuesday_not_wednesday, reflexivity_for_same_day, tuesday_not_friday, all_on, monday_follows_sunday, b_off_thursday, not_on_for_3_days, monday_not_tuesday, wednesday_not_friday, thursday_not_saturday, monday_not_friday, monday_not_thursday, friday_not_saturday, tuesday_not_saturday
% 3.42/1.79 % No. of inferences in proof: 98
% 3.42/1.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1266 ms resp. 774 ms w/o parsing
% 3.60/1.89 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.60/1.89 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------