%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n017.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 : Sun Sep 27 08:21:03 AM UTC 2026
% Result : Theorem 4.52s 2.64s
% Output : Refutation 4.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 46
% Syntax : Number of formulae : 94 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 224 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 459 ( 42 ~; 0 |; 22 &; 287 @)
% ( 0 <=>; 108 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 10 con; 0-3 aty)
% Number of variables : 95 ( 0 ^; 92 !; 3 ?; 95 :)
% Comments :
%------------------------------------------------------------------------------
thf(day_decl,type,
day: $i > $o ).
thf(lies_on_one_of_decl,type,
lies_on_one_of: $i > $i > $i > $o ).
thf(a_lion_decl,type,
a_lion: $i ).
thf(yesterday_decl,type,
yesterday: $i > $i ).
thf(a_unicorn_decl,type,
a_unicorn: $i ).
thf(monday_decl,type,
monday: $i > $o ).
thf(lion_lies_decl,type,
lion_lies: $i > $o ).
thf(tuesday_decl,type,
tuesday: $i > $o ).
thf(unicorn_lies_decl,type,
unicorn_lies: $i > $o ).
thf(friday_decl,type,
friday: $i > $o ).
thf(sunday_decl,type,
sunday: $i > $o ).
thf(a_sunday_decl,type,
a_sunday: $i ).
thf(saturday_decl,type,
saturday: $i > $o ).
thf(thursday_decl,type,
thursday: $i > $o ).
thf(a_thursday_decl,type,
a_thursday: $i ).
thf(a_monday_decl,type,
a_monday: $i ).
thf(wednesday_decl,type,
wednesday: $i > $o ).
thf(a_friday_decl,type,
a_friday: $i ).
thf(a_tuesday_decl,type,
a_tuesday: $i ).
thf(a_saturday_decl,type,
a_saturday: $i ).
thf(a_wednesday_decl,type,
a_wednesday: $i ).
thf(39,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ~ ( A @ lion_lies ) )
=> ( B @ lion_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_other_day) ).
thf(115,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ~ ( A @ lion_lies ) )
=> ( B @ lion_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(6,axiom,
a_sunday @ sunday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday) ).
thf(56,plain,
a_sunday @ sunday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(42,axiom,
! [A: $i] :
( ( A @ unicorn_lies )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_a_day) ).
thf(121,plain,
! [A: $i] :
( ( A @ unicorn_lies )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(15,axiom,
a_tuesday @ tuesday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday) ).
thf(70,plain,
a_tuesday @ tuesday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(30,axiom,
! [A: $i] :
( ( A @ monday )
=> ( A @ yesterday @ sunday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
thf(97,plain,
! [A: $i] :
( ( A @ monday )
=> ( A @ yesterday @ sunday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(46,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ lion_lies ) )
=> ~ ( B @ lion_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_this_day) ).
thf(129,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ lion_lies ) )
=> ~ ( B @ lion_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(11,axiom,
! [A: $i] :
( ( A @ tuesday )
=> ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_tuesday) ).
thf(64,plain,
! [A: $i] :
( ( A @ tuesday )
=> ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(8,axiom,
! [A: $i] :
( ( A @ thursday )
=> ~ ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
thf(59,plain,
! [A: $i] :
( ( A @ thursday )
=> ~ ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(38,axiom,
! [A: $i] :
( ( A @ thursday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).
thf(113,plain,
! [A: $i] :
( ( A @ thursday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(21,axiom,
! [A: $i] :
( ( A @ sunday )
=> ~ ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_sunday) ).
thf(80,plain,
! [A: $i] :
( ( A @ sunday )
=> ~ ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(43,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ unicorn_lies ) )
=> ~ ( B @ unicorn_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_this_day) ).
thf(123,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ unicorn_lies ) )
=> ~ ( B @ unicorn_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(35,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ~ ( A @ lion_lies ) )
=> ~ ( B @ lion_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).
thf(107,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ~ ( A @ lion_lies ) )
=> ~ ( B @ lion_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(14,axiom,
a_friday @ friday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday) ).
thf(69,plain,
a_friday @ friday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(32,axiom,
! [A: $i] :
( ( A @ monday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_is_a_day) ).
thf(101,plain,
! [A: $i] :
( ( A @ monday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(4,axiom,
! [A: $i] :
( ( A @ tuesday )
=> ~ ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_tuesday) ).
thf(52,plain,
! [A: $i] :
( ( A @ tuesday )
=> ~ ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(44,axiom,
! [A: $i] :
( ( A @ friday )
=> ( A @ yesterday @ thursday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
thf(125,plain,
! [A: $i] :
( ( A @ friday )
=> ( A @ yesterday @ thursday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(28,axiom,
! [A: $i] :
( ( A @ lion_lies )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_a_day) ).
thf(93,plain,
! [A: $i] :
( ( A @ lion_lies )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ saturday )
=> ~ ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_saturday) ).
thf(57,plain,
! [A: $i] :
( ( A @ saturday )
=> ~ ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(20,axiom,
! [A: $i] :
( ( A @ monday )
=> ~ ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_monday) ).
thf(78,plain,
! [A: $i] :
( ( A @ monday )
=> ~ ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,axiom,
a_thursday @ thursday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
thf(61,plain,
a_thursday @ thursday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
! [A: $i] :
( ( A @ wednesday )
=> ( A @ yesterday @ tuesday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
thf(89,plain,
! [A: $i] :
( ( A @ wednesday )
=> ( A @ yesterday @ tuesday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(40,axiom,
! [A: $i] :
( ( A @ friday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_is_a_day) ).
thf(117,plain,
! [A: $i] :
( ( A @ friday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(24,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ unicorn_lies ) )
=> ( B @ unicorn_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
thf(85,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ unicorn_lies ) )
=> ( B @ unicorn_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(36,axiom,
! [A: $i] :
( ( A @ thursday )
=> ( A @ yesterday @ wednesday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
thf(109,plain,
! [A: $i] :
( ( A @ thursday )
=> ( A @ yesterday @ wednesday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(19,axiom,
a_saturday @ saturday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday) ).
thf(77,plain,
a_saturday @ saturday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,axiom,
! [A: $i] :
( ( A @ friday )
=> ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_friday) ).
thf(73,plain,
! [A: $i] :
( ( A @ friday )
=> ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(34,axiom,
! [A: $i] :
( ( A @ saturday )
=> ( A @ yesterday @ friday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_follows_friday) ).
thf(105,plain,
! [A: $i] :
( ( A @ saturday )
=> ( A @ yesterday @ friday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ saturday )
=> ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_saturday) ).
thf(71,plain,
! [A: $i] :
( ( A @ saturday )
=> ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ friday )
=> ~ ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_friday) ).
thf(54,plain,
! [A: $i] :
( ( A @ friday )
=> ~ ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(33,axiom,
! [A: $i] :
( ( A @ sunday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_is_a_day) ).
thf(103,plain,
! [A: $i] :
( ( A @ sunday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(27,axiom,
! [A: $i] :
( ( A @ tuesday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_is_a_day) ).
thf(91,plain,
! [A: $i] :
( ( A @ tuesday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(12,axiom,
a_monday @ monday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday) ).
thf(66,plain,
a_monday @ monday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(1,conjecture,
? [A: $i] :
( ( A @ yesterday @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ yesterday @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( A @ yesterday @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ yesterday @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ day ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(48,plain,
~ ? [A: $i] :
( ( A @ yesterday @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ( A @ yesterday @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(29,axiom,
! [A: $i] :
( ( A @ saturday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_is_a_day) ).
thf(95,plain,
! [A: $i] :
( ( A @ saturday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ monday )
=> ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_monday) ).
thf(50,plain,
! [A: $i] :
( ( A @ monday )
=> ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,axiom,
! [A: $i] :
( ( A @ wednesday )
=> ( A @ lion_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
thf(67,plain,
! [A: $i] :
( ( A @ wednesday )
=> ( A @ lion_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(45,axiom,
! [A: $i] :
( ( A @ sunday )
=> ( A @ yesterday @ saturday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_follows_saturday) ).
thf(127,plain,
! [A: $i] :
( ( A @ sunday )
=> ( A @ yesterday @ saturday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(31,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ~ ( A @ unicorn_lies ) )
=> ~ ( B @ unicorn_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_neither) ).
thf(99,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ~ ( A @ unicorn_lies ) )
=> ~ ( B @ unicorn_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(25,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ lion_lies ) )
=> ( B @ lion_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_both) ).
thf(87,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ~ ( B @ ( A @ ( a_lion @ lies_on_one_of ) ) )
& ( A @ lion_lies ) )
=> ( B @ lion_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(18,axiom,
! [A: $i] :
( ( A @ wednesday )
=> ~ ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
thf(75,plain,
! [A: $i] :
( ( A @ wednesday )
=> ~ ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(41,axiom,
! [A: $i] :
( ( A @ wednesday )
=> ( A @ day ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
thf(119,plain,
! [A: $i] :
( ( A @ wednesday )
=> ( A @ day ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(22,axiom,
a_wednesday @ wednesday,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday) ).
thf(82,plain,
a_wednesday @ wednesday,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(47,axiom,
! [A: $i] :
( ( A @ tuesday )
=> ( A @ yesterday @ monday ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
thf(131,plain,
! [A: $i] :
( ( A @ tuesday )
=> ( A @ yesterday @ monday ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(10,axiom,
! [A: $i] :
( ( A @ thursday )
=> ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
thf(62,plain,
! [A: $i] :
( ( A @ thursday )
=> ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(37,axiom,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ~ ( A @ unicorn_lies ) )
=> ( B @ unicorn_lies ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_other_day) ).
thf(111,plain,
! [A: $i] :
( ( A @ day )
=> ! [B: $i] :
( ( B @ day )
=> ( ( ( B @ ( A @ ( a_unicorn @ lies_on_one_of ) ) )
& ~ ( A @ unicorn_lies ) )
=> ( B @ unicorn_lies ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(23,axiom,
! [A: $i] :
( ( A @ sunday )
=> ~ ( A @ unicorn_lies ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_sunday) ).
thf(83,plain,
! [A: $i] :
( ( A @ sunday )
=> ~ ( A @ unicorn_lies ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(133,plain,
$false,
inference(e,[status(thm)],[115,56,121,70,97,129,64,59,113,80,123,107,69,101,52,125,93,57,78,61,89,117,85,109,77,73,105,71,54,103,91,66,48,95,50,67,127,99,87,75,119,82,131,62,111,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40 % Computer : n017.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sat Sep 26 04:58:18 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.43/1.21 % [INFO] Parsing done (217ms).
% 1.43/1.23 % [INFO] Running in sequential loop mode.
% 2.13/1.64 % [INFO] eprover registered as external prover.
% 2.13/1.64 % [INFO] Scanning for conjecture ...
% 2.36/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 45 axioms. Running axiom selection ...
% 2.53/1.83 % [INFO] Axiom selection finished. Selected 45 axioms (removed 0 axioms).
% 2.53/1.89 % [INFO] Problem is first-order (TPTP FOF).
% 2.78/1.90 % [INFO] Type checking passed.
% 2.78/1.90 % [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 ...
% 4.52/2.64 % External prover 'e' found a proof!
% 4.52/2.64 % [INFO] Killing All external provers ...
% 4.52/2.64 % Time passed: 2085ms (effective reasoning time: 1405ms)
% 4.52/2.64 % 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)>
% 4.52/2.64 % Axioms used in derivation (45): unicorn_does_not_lie_wednesday, lion_lies_tuesday, sunday_follows_saturday, unicorn_lies_on_this_day, lion_lies_monday, unicorn_lies_on_both, lion_lies_on_this_day, lion_does_not_lie_saturday, friday_is_a_day, thursday, lion_lies_on_both, sunday, saturday_is_a_day, sunday_is_a_day, friday_follows_thursday, lion_does_not_lie_thursday, thursday_is_a_day, monday_is_a_day, lion_lies_on_other_day, thursday_follows_wednesday, lion_lies_on_a_day, tuesday, unicorn_does_not_lie_tuesday, wednesday_follows_tuesday, unicorn_does_not_lie_monday, unicorn_lies_thursday, unicorn_does_not_lie_sunday, unicorn_lies_on_a_day, wednesday, unicorn_lies_saturday, monday, tuesday_follows_monday, lion_lies_wednesday, lion_does_not_lie_sunday, saturday_follows_friday, wednesday_is_a_day, tuesday_is_a_day, lion_lies_on_neither, monday_follows_sunday, unicorn_lies_friday, lion_does_not_lie_friday, unicorn_lies_on_neither, friday, unicorn_lies_on_other_day, saturday
% 4.52/2.64 % No. of inferences in proof: 94
% 4.52/2.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2085 ms resp. 1405 ms w/o parsing
% 4.85/2.73 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.85/2.73 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------