TSTP Solution File: PUZ020-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ020-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.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 : 600s
% DateTime : Mon Jul 18 18:19:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 28
% Syntax : Number of formulae : 141 ( 71 unt; 8 typ; 0 def)
% Number of atoms : 650 ( 204 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 684 ( 154 ~; 169 |; 0 &; 361 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 140 ( 0 ^ 140 !; 0 ?; 140 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a_truth,type,
a_truth: $i > $o ).
thf(tp_husband,type,
husband: $i ).
thf(tp_knave,type,
knave: $i > $o ).
thf(tp_knight,type,
knight: $i > $o ).
thf(tp_person,type,
person: $i > $o ).
thf(tp_says,type,
says: $i > $i > $o ).
thf(tp_statement_by,type,
statement_by: $i > $i ).
thf(tp_wife,type,
wife: $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ~ ( knave @ X )
| ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_do_not_say_the_truth) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ~ ( knight @ X )
| ~ ( says @ X @ Y )
| ( a_truth @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_say_the_truth) ).
thf(3,axiom,
! [X: $i] :
( ~ ( person @ X )
| ( a_truth @ ( statement_by @ X ) )
| ( knave @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_make_false_statements) ).
thf(4,axiom,
! [X: $i] :
( ~ ( person @ X )
| ~ ( a_truth @ ( statement_by @ X ) )
| ( knight @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_make_true_statements) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ~ ( person @ X )
| ( X
!= ( statement_by @ Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',people_do_not_equal_their_statement2) ).
thf(6,axiom,
! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( Y
= ( statement_by @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',peoples_statements) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( X != Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',people_do_not_equal_their_statements1) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y )
| ~ ( a_truth @ Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statements_are_true_or_false) ).
thf(9,axiom,
! [X: $i] :
( ~ ( person @ X )
| ~ ( knight @ X )
| ~ ( knave @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_both_a_knight_and_knave) ).
thf(10,axiom,
! [X: $i] :
( ~ ( person @ X )
| ( knight @ X )
| ( knave @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
thf(11,axiom,
( ~ ( knight @ wife )
| ( a_truth @ ( statement_by @ husband ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knight_wife_means_truthful_husband) ).
thf(12,axiom,
( ( a_truth @ ( statement_by @ husband ) )
| ( knight @ wife ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knight_wife_or_truthful_husband) ).
thf(13,axiom,
( ( a_truth @ ( statement_by @ husband ) )
| ~ ( knight @ husband ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knight_husband_makes_true_statements) ).
thf(14,axiom,
( ~ ( a_truth @ ( statement_by @ husband ) )
| ~ ( knight @ husband )
| ( knight @ wife ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthful_knight_husband_means_knight_wife) ).
thf(15,axiom,
says @ husband @ ( statement_by @ husband ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband_makes_statements) ).
thf(16,axiom,
husband != wife,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband_not_wife) ).
thf(17,axiom,
person @ wife,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wife) ).
thf(18,axiom,
person @ husband,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband) ).
thf(19,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(20,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[19]) ).
thf(21,negated_conjecture,
~ ( knight @ husband ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_knight_husband) ).
thf(22,plain,
$false = $false,
inference(unfold_def,[status(thm)],[20]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( knave @ X )
| ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( knight @ X )
| ~ ( says @ X @ Y )
| ( a_truth @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(25,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ( a_truth @ ( statement_by @ X ) )
| ( knave @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(26,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ~ ( a_truth @ ( statement_by @ X ) )
| ( knight @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(27,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( person @ X )
| ( X
!= ( statement_by @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(28,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( Y
= ( statement_by @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( X != Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(30,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y )
| ~ ( a_truth @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(31,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ~ ( knight @ X )
| ~ ( knave @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(32,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ( knight @ X )
| ( knave @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(33,plain,
( ( ~ ( knight @ wife )
| ( a_truth @ ( statement_by @ husband ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(34,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
| ( knight @ wife ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(35,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
| ~ ( knight @ husband ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(36,plain,
( ( ~ ( a_truth @ ( statement_by @ husband ) )
| ~ ( knight @ husband )
| ( knight @ wife ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(37,plain,
( ( says @ husband @ ( statement_by @ husband ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(38,plain,
( ( ( husband != wife ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(39,plain,
( ( person @ wife )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(40,plain,
( ( person @ husband )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(41,plain,
( ( ~ ( knight @ husband ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(42,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[22]) ).
thf(43,plain,
( ( ! [X: $i] :
( ~ ( knave @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(44,plain,
( ( ! [X: $i] :
( ~ ( knight @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(45,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ! [Y: $i] :
( X
!= ( statement_by @ Y ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(46,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( X != Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(47,plain,
( ( ! [X: $i,Y: $i] :
~ ( says @ X @ Y )
| $true )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(48,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ( knave @ X )
| ( knight @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(49,plain,
( ( ( husband != wife ) )
= $true ),
inference(extcnf_combined,[status(esa)],[38]) ).
thf(50,plain,
( ( ~ ( knight @ husband ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(51,plain,
( ( person @ husband )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(52,plain,
( ( person @ wife )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(53,plain,
( ( ( husband != wife ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(54,plain,
( ( says @ husband @ ( statement_by @ husband ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(55,plain,
( ( ~ ( a_truth @ ( statement_by @ husband ) )
| ~ ( knight @ husband )
| ( knight @ wife ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(56,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
| ~ ( knight @ husband ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(57,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
| ( knight @ wife ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(58,plain,
( ( ~ ( knight @ wife )
| ( a_truth @ ( statement_by @ husband ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(59,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ( knave @ X )
| ( knight @ X ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(60,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ~ ( knight @ X )
| ~ ( knave @ X ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(61,plain,
( ( ! [X: $i,Y: $i] :
~ ( says @ X @ Y )
| $true )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(62,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( X != Y ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(63,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( says @ X @ Y )
| ( Y
= ( statement_by @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(64,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ! [Y: $i] :
( X
!= ( statement_by @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(65,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ~ ( a_truth @ ( statement_by @ X ) )
| ( knight @ X ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(66,plain,
( ( ! [X: $i] :
( ~ ( person @ X )
| ( a_truth @ ( statement_by @ X ) )
| ( knave @ X ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(67,plain,
( ( ! [X: $i] :
( ~ ( knight @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ( a_truth @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(68,plain,
( ( ! [X: $i] :
( ~ ( knave @ X )
| ! [Y: $i] :
( ~ ( says @ X @ Y )
| ~ ( a_truth @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(69,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(70,plain,
( ( knight @ husband )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(71,plain,
( ( husband = wife )
= $false ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(72,plain,
( ( ( ~ ( a_truth @ ( statement_by @ husband ) ) )
= $true )
| ( ( ~ ( knight @ husband )
| ( knight @ wife ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(73,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
= $true )
| ( ( ~ ( knight @ husband ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(74,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
= $true )
| ( ( knight @ wife )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(75,plain,
( ( ( ~ ( knight @ wife ) )
= $true )
| ( ( a_truth @ ( statement_by @ husband ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV1: $i] :
( ( ~ ( person @ SV1 )
| ( knave @ SV1 )
| ( knight @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV2: $i] :
( ( ~ ( person @ SV2 )
| ~ ( knight @ SV2 )
| ~ ( knave @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(78,plain,
( ( ( ! [X: $i,Y: $i] :
~ ( says @ X @ Y ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(79,plain,
! [SV3: $i] :
( ( ! [SY16: $i] :
( ~ ( says @ SV3 @ SY16 )
| ( SV3 != SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(80,plain,
! [SV4: $i] :
( ( ! [SY17: $i] :
( ~ ( says @ SV4 @ SY17 )
| ( SY17
= ( statement_by @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(81,plain,
! [SV5: $i] :
( ( ~ ( person @ SV5 )
| ! [SY18: $i] :
( SV5
!= ( statement_by @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(82,plain,
! [SV6: $i] :
( ( ~ ( person @ SV6 )
| ~ ( a_truth @ ( statement_by @ SV6 ) )
| ( knight @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV7: $i] :
( ( ~ ( person @ SV7 )
| ( a_truth @ ( statement_by @ SV7 ) )
| ( knave @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(84,plain,
! [SV8: $i] :
( ( ~ ( knight @ SV8 )
| ! [SY19: $i] :
( ~ ( says @ SV8 @ SY19 )
| ( a_truth @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(85,plain,
! [SV9: $i] :
( ( ~ ( knave @ SV9 )
| ! [SY20: $i] :
( ~ ( says @ SV9 @ SY20 )
| ~ ( a_truth @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(86,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(87,plain,
( ( ( a_truth @ ( statement_by @ husband ) )
= $false )
| ( ( ~ ( knight @ husband )
| ( knight @ wife ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(88,plain,
( ( ( knight @ husband )
= $false )
| ( ( a_truth @ ( statement_by @ husband ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(89,plain,
( ( ( knight @ wife )
= $false )
| ( ( a_truth @ ( statement_by @ husband ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(90,plain,
! [SV1: $i] :
( ( ( ~ ( person @ SV1 ) )
= $true )
| ( ( ( knave @ SV1 )
| ( knight @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(91,plain,
! [SV2: $i] :
( ( ( ~ ( person @ SV2 ) )
= $true )
| ( ( ~ ( knight @ SV2 )
| ~ ( knave @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(92,plain,
! [SV10: $i] :
( ( ( ! [SY21: $i] :
~ ( says @ SV10 @ SY21 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(93,plain,
! [SV11: $i,SV3: $i] :
( ( ~ ( says @ SV3 @ SV11 )
| ( SV3 != SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV12: $i,SV4: $i] :
( ( ~ ( says @ SV4 @ SV12 )
| ( SV12
= ( statement_by @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV5: $i] :
( ( ( ~ ( person @ SV5 ) )
= $true )
| ( ( ! [SY18: $i] :
( SV5
!= ( statement_by @ SY18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV6: $i] :
( ( ( ~ ( person @ SV6 ) )
= $true )
| ( ( ~ ( a_truth @ ( statement_by @ SV6 ) )
| ( knight @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV7: $i] :
( ( ( ~ ( person @ SV7 ) )
= $true )
| ( ( ( a_truth @ ( statement_by @ SV7 ) )
| ( knave @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV8: $i] :
( ( ( ~ ( knight @ SV8 ) )
= $true )
| ( ( ! [SY19: $i] :
( ~ ( says @ SV8 @ SY19 )
| ( a_truth @ SY19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV9: $i] :
( ( ( ~ ( knave @ SV9 ) )
= $true )
| ( ( ! [SY20: $i] :
( ~ ( says @ SV9 @ SY20 )
| ~ ( a_truth @ SY20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(100,plain,
( ( ( ~ ( knight @ husband ) )
= $true )
| ( ( knight @ wife )
= $true )
| ( ( a_truth @ ( statement_by @ husband ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(101,plain,
! [SV1: $i] :
( ( ( person @ SV1 )
= $false )
| ( ( ( knave @ SV1 )
| ( knight @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV2: $i] :
( ( ( person @ SV2 )
= $false )
| ( ( ~ ( knight @ SV2 )
| ~ ( knave @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV13: $i,SV10: $i] :
( ( ( ~ ( says @ SV10 @ SV13 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV11: $i,SV3: $i] :
( ( ( ~ ( says @ SV3 @ SV11 ) )
= $true )
| ( ( ( SV3 != SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(105,plain,
! [SV12: $i,SV4: $i] :
( ( ( ~ ( says @ SV4 @ SV12 ) )
= $true )
| ( ( SV12
= ( statement_by @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(106,plain,
! [SV5: $i] :
( ( ( person @ SV5 )
= $false )
| ( ( ! [SY18: $i] :
( SV5
!= ( statement_by @ SY18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(107,plain,
! [SV6: $i] :
( ( ( person @ SV6 )
= $false )
| ( ( ~ ( a_truth @ ( statement_by @ SV6 ) )
| ( knight @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(108,plain,
! [SV7: $i] :
( ( ( person @ SV7 )
= $false )
| ( ( ( a_truth @ ( statement_by @ SV7 ) )
| ( knave @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[97]) ).
thf(109,plain,
! [SV8: $i] :
( ( ( knight @ SV8 )
= $false )
| ( ( ! [SY19: $i] :
( ~ ( says @ SV8 @ SY19 )
| ( a_truth @ SY19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(110,plain,
! [SV9: $i] :
( ( ( knave @ SV9 )
= $false )
| ( ( ! [SY20: $i] :
( ~ ( says @ SV9 @ SY20 )
| ~ ( a_truth @ SY20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(111,plain,
( ( ( knight @ husband )
= $false )
| ( ( knight @ wife )
= $true )
| ( ( a_truth @ ( statement_by @ husband ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(112,plain,
! [SV1: $i] :
( ( ( knave @ SV1 )
= $true )
| ( ( knight @ SV1 )
= $true )
| ( ( person @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(113,plain,
! [SV2: $i] :
( ( ( ~ ( knight @ SV2 ) )
= $true )
| ( ( ~ ( knave @ SV2 ) )
= $true )
| ( ( person @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(114,plain,
! [SV13: $i,SV10: $i] :
( ( ( says @ SV10 @ SV13 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(115,plain,
! [SV11: $i,SV3: $i] :
( ( ( says @ SV3 @ SV11 )
= $false )
| ( ( ( SV3 != SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(116,plain,
! [SV12: $i,SV4: $i] :
( ( ( says @ SV4 @ SV12 )
= $false )
| ( ( SV12
= ( statement_by @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(117,plain,
! [SV14: $i,SV5: $i] :
( ( ( ( SV5
!= ( statement_by @ SV14 ) ) )
= $true )
| ( ( person @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(118,plain,
! [SV6: $i] :
( ( ( ~ ( a_truth @ ( statement_by @ SV6 ) ) )
= $true )
| ( ( knight @ SV6 )
= $true )
| ( ( person @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(119,plain,
! [SV7: $i] :
( ( ( a_truth @ ( statement_by @ SV7 ) )
= $true )
| ( ( knave @ SV7 )
= $true )
| ( ( person @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(120,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( says @ SV8 @ SV15 )
| ( a_truth @ SV15 ) )
= $true )
| ( ( knight @ SV8 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(121,plain,
! [SV16: $i,SV9: $i] :
( ( ( ~ ( says @ SV9 @ SV16 )
| ~ ( a_truth @ SV16 ) )
= $true )
| ( ( knave @ SV9 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( knight @ SV2 )
= $false )
| ( ( ~ ( knave @ SV2 ) )
= $true )
| ( ( person @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(123,plain,
! [SV11: $i,SV3: $i] :
( ( ( SV3 = SV11 )
= $false )
| ( ( says @ SV3 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(124,plain,
! [SV14: $i,SV5: $i] :
( ( ( SV5
= ( statement_by @ SV14 ) )
= $false )
| ( ( person @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(125,plain,
! [SV6: $i] :
( ( ( a_truth @ ( statement_by @ SV6 ) )
= $false )
| ( ( knight @ SV6 )
= $true )
| ( ( person @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(126,plain,
! [SV15: $i,SV8: $i] :
( ( ( ~ ( says @ SV8 @ SV15 ) )
= $true )
| ( ( a_truth @ SV15 )
= $true )
| ( ( knight @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(127,plain,
! [SV16: $i,SV9: $i] :
( ( ( ~ ( says @ SV9 @ SV16 ) )
= $true )
| ( ( ~ ( a_truth @ SV16 ) )
= $true )
| ( ( knave @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(128,plain,
! [SV2: $i] :
( ( ( knave @ SV2 )
= $false )
| ( ( knight @ SV2 )
= $false )
| ( ( person @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(129,plain,
! [SV15: $i,SV8: $i] :
( ( ( says @ SV8 @ SV15 )
= $false )
| ( ( a_truth @ SV15 )
= $true )
| ( ( knight @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(130,plain,
! [SV16: $i,SV9: $i] :
( ( ( says @ SV9 @ SV16 )
= $false )
| ( ( ~ ( a_truth @ SV16 ) )
= $true )
| ( ( knave @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(131,plain,
! [SV9: $i,SV16: $i] :
( ( ( a_truth @ SV16 )
= $false )
| ( ( says @ SV9 @ SV16 )
= $false )
| ( ( knave @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(132,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[51,131,129,128,125,124,123,119,116,114,112,111,89,88,86,74,71,70,54,52]) ).
thf(133,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 01:24:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 19
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:21,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.19/0.40
% 0.19/0.40 ********************************
% 0.19/0.40 * All subproblems solved! *
% 0.19/0.40 ********************************
% 0.19/0.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:132,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.41
% 0.19/0.41 %**** Beginning of derivation protocol ****
% 0.19/0.41 % SZS output start CNFRefutation
% See solution above
% 0.19/0.41
% 0.19/0.41 %**** End of derivation protocol ****
% 0.19/0.41 %**** no. of clauses in derivation: 133 ****
% 0.19/0.41 %**** clause counter: 132 ****
% 0.19/0.41
% 0.19/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:19,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:132,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------