%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ081^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Wed Oct 7 10:36:53 AM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 7
% Syntax : Number of formulae : 122 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 1315 ( 695 equ; 0 cnn)
% Maximal formula atoms : 6 ( 10 avg)
% Number of connectives : 1606 ( 604 ~; 465 |; 18 &; 494 @)
% ( 0 <=>; 15 =>; 0 <=; 10 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 188 ( 0 ^; 178 !; 10 ?; 188 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_is_a,type,
is_a: $i > $i > $o ).
thf(tp_islander,type,
islander: $i ).
thf(tp_knave,type,
knave: $i ).
thf(tp_knight,type,
knight: $i ).
thf(tp_mel,type,
mel: $i ).
thf(tp_says,type,
says: $i > $o > $o ).
thf(tp_zoey,type,
zoey: $i ).
thf(1,axiom,
( says @ mel
@ ~ ( ( is_a @ zoey @ knave )
| ( is_a @ mel @ knave ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_6) ).
thf(2,axiom,
says @ zoey @ ( is_a @ mel @ knave ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_5) ).
thf(3,axiom,
( ( is_a @ zoey @ islander )
& ( is_a @ mel @ islander ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_4) ).
thf(4,axiom,
! [X: $i] :
( ( is_a @ X @ knave )
=> ! [A: $o] :
( ( says @ X @ A )
=> ~ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_3) ).
thf(5,axiom,
! [X: $i] :
( ( is_a @ X @ knight )
=> ! [A: $o] :
( ( says @ X @ A )
=> A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_2) ).
thf(6,axiom,
! [X: $i] :
( ( is_a @ X @ islander )
=> ( ( is_a @ X @ knight )
| ( is_a @ X @ knave ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kk_6_1) ).
thf(7,conjecture,
? [Y: $i,Z: $i] :
( ( ( Y = knight )
<~> ( Y = knave ) )
& ( ( Z = knight )
<~> ( Z = knave ) )
& ( is_a @ mel @ Y )
& ( is_a @ zoey @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query) ).
thf(8,negated_conjecture,
( ( ? [Y: $i,Z: $i] :
( ( ( Y = knight )
<~> ( Y = knave ) )
& ( ( Z = knight )
<~> ( Z = knave ) )
& ( is_a @ mel @ Y )
& ( is_a @ zoey @ Z ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[7]) ).
thf(9,plain,
( ( ? [Y: $i,Z: $i] :
( ( ( Y = knight )
<~> ( Y = knave ) )
& ( ( Z = knight )
<~> ( Z = knave ) )
& ( is_a @ mel @ Y )
& ( is_a @ zoey @ Z ) ) )
= $false ),
inference(unfold_def,[status(thm)],[8]) ).
thf(10,plain,
( ( says @ mel
@ ~ ( ( is_a @ zoey @ knave )
| ( is_a @ mel @ knave ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( says @ zoey @ ( is_a @ mel @ knave ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ( is_a @ zoey @ islander )
& ( is_a @ mel @ islander ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ! [X: $i] :
( ( is_a @ X @ knave )
=> ! [A: $o] :
( ( says @ X @ A )
=> ~ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( ! [X: $i] :
( ( is_a @ X @ knight )
=> ! [A: $o] :
( ( says @ X @ A )
=> A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ! [X: $i] :
( ( is_a @ X @ islander )
=> ( ( is_a @ X @ knight )
| ( is_a @ X @ knave ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(16,plain,
( ( ~ ? [Y: $i,Z: $i] :
( ( ( Y = knight )
<~> ( Y = knave ) )
& ( ( Z = knight )
<~> ( Z = knave ) )
& ( is_a @ mel @ Y )
& ( is_a @ zoey @ Z ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [X: $i] :
( ( is_a @ X @ islander )
=> ( ( is_a @ X @ knight )
| ( is_a @ X @ knave ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(18,plain,
( ( ! [X: $i] :
( ( is_a @ X @ knight )
=> ! [A: $o] :
( ( says @ X @ A )
=> A ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(19,plain,
( ( ! [X: $i] :
( ( is_a @ X @ knave )
=> ! [A: $o] :
( ( says @ X @ A )
=> ~ A ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(20,plain,
( ( ( is_a @ zoey @ islander )
& ( is_a @ mel @ islander ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(21,plain,
( ( says @ zoey @ ( is_a @ mel @ knave ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(22,plain,
( ( says @ mel
@ ~ ( ( is_a @ zoey @ knave )
| ( is_a @ mel @ knave ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(23,plain,
( ( ~ ? [Y: $i,Z: $i] :
( ( ( Y = knight )
<~> ( Y = knave ) )
& ( ( Z = knight )
<~> ( Z = knave ) )
& ( is_a @ mel @ Y )
& ( is_a @ zoey @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(24,plain,
( ( ~ ( ~ ( is_a @ zoey @ islander )
| ~ ( is_a @ mel @ islander ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SX0 != knight )
| ( SX0 = knave ) )
| ~ ( ( SX0 != knave )
| ( SX0 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SX1 != knight )
| ( SX1 = knave ) )
| ~ ( ( SX1 != knave )
| ( SX1 = knight ) ) ) )
| ~ ( is_a @ mel @ SX0 ) )
| ~ ( is_a @ zoey @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(26,plain,
( ( ! [SX0: $i] :
( ~ ( is_a @ SX0 @ islander )
| ( is_a @ SX0 @ knight )
| ( is_a @ SX0 @ knave ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(27,plain,
( ( ! [SX0: $i] :
( ~ ( is_a @ SX0 @ knave )
| ! [SX1: $o] :
( ~ ( says @ SX0 @ SX1 )
| ~ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(28,plain,
( ( ! [SX0: $i] :
( ~ ( is_a @ SX0 @ knight )
| ! [SX1: $o] :
( ~ ( says @ SX0 @ SX1 )
| SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(29,plain,
( ( ~ ( is_a @ zoey @ islander )
| ~ ( is_a @ mel @ islander ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ~ ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SX0 != knight )
| ( SX0 = knave ) )
| ~ ( ( SX0 != knave )
| ( SX0 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SX1 != knight )
| ( SX1 = knave ) )
| ~ ( ( SX1 != knave )
| ( SX1 = knight ) ) ) )
| ~ ( is_a @ mel @ SX0 ) )
| ~ ( is_a @ zoey @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV1: $i] :
( ( ~ ( is_a @ SV1 @ islander )
| ( is_a @ SV1 @ knight )
| ( is_a @ SV1 @ knave ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV2: $i] :
( ( ~ ( is_a @ SV2 @ knave )
| ! [SY7: $o] :
( ~ ( says @ SV2 @ SY7 )
| ~ SY7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(33,plain,
! [SV3: $i] :
( ( ~ ( is_a @ SV3 @ knight )
| ! [SY8: $o] :
( ~ ( says @ SV3 @ SY8 )
| SY8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( is_a @ zoey @ islander ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(35,plain,
( ( ~ ( is_a @ mel @ islander ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ! [SX0: $i] :
~ ~ ! [SX1: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SX0 != knight )
| ( SX0 = knave ) )
| ~ ( ( SX0 != knave )
| ( SX0 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SX1 != knight )
| ( SX1 = knave ) )
| ~ ( ( SX1 != knave )
| ( SX1 = knight ) ) ) )
| ~ ( is_a @ mel @ SX0 ) )
| ~ ( is_a @ zoey @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(37,plain,
! [SV1: $i] :
( ( ( ~ ( is_a @ SV1 @ islander ) )
= $true )
| ( ( ( is_a @ SV1 @ knight )
| ( is_a @ SV1 @ knave ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(38,plain,
! [SV2: $i] :
( ( ( ~ ( is_a @ SV2 @ knave ) )
= $true )
| ( ( ! [SY7: $o] :
( ~ ( says @ SV2 @ SY7 )
| ~ SY7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(39,plain,
! [SV3: $i] :
( ( ( ~ ( is_a @ SV3 @ knight ) )
= $true )
| ( ( ! [SY8: $o] :
( ~ ( says @ SV3 @ SY8 )
| SY8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( is_a @ zoey @ islander )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( is_a @ mel @ islander )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(42,plain,
! [SV4: $i] :
( ( ~ ~ ! [SY9: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SY9 != knight )
| ( SY9 = knave ) )
| ~ ( ( SY9 != knave )
| ( SY9 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
| ~ ( is_a @ zoey @ SY9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV1: $i] :
( ( ( is_a @ SV1 @ islander )
= $false )
| ( ( ( is_a @ SV1 @ knight )
| ( is_a @ SV1 @ knave ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV2: $i] :
( ( ( is_a @ SV2 @ knave )
= $false )
| ( ( ! [SY7: $o] :
( ~ ( says @ SV2 @ SY7 )
| ~ SY7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(45,plain,
! [SV3: $i] :
( ( ( is_a @ SV3 @ knight )
= $false )
| ( ( ! [SY8: $o] :
( ~ ( says @ SV3 @ SY8 )
| SY8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(46,plain,
! [SV4: $i] :
( ( ~ ! [SY9: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SY9 != knight )
| ( SY9 = knave ) )
| ~ ( ( SY9 != knave )
| ( SY9 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
| ~ ( is_a @ zoey @ SY9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( is_a @ SV1 @ knight )
= $true )
| ( ( is_a @ SV1 @ knave )
= $true )
| ( ( is_a @ SV1 @ islander )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV5: $o,SV2: $i] :
( ( ( ~ ( says @ SV2 @ SV5 )
| ~ SV5 )
= $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[44]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( ~ ( says @ SV2 @ $true )
| ~ $true )
= $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV2: $i] :
( ( ( ~ ( says @ SV2 @ $false )
| ~ $false )
= $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[44]) ).
thf(51,plain,
! [SV6: $o,SV3: $i] :
( ( ( ~ ( says @ SV3 @ SV6 )
| SV6 )
= $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV3: $i] :
( ( ( ~ ( says @ SV3 @ $true )
| $true )
= $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV3: $i] :
( ( ( ~ ( says @ SV3 @ $false )
| $false )
= $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV4: $i] :
( ( ! [SY9: $i] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SY9 != knight )
| ( SY9 = knave ) )
| ~ ( ( SY9 != knave )
| ( SY9 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
| ~ ( is_a @ zoey @ SY9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(55,plain,
! [SV5: $o,SV2: $i] :
( ( ( ~ ( says @ SV2 @ SV5 ) )
= $true )
| ( ( ~ SV5 ) = $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( ~ ( says @ SV2 @ $true ) )
= $true )
| ( ( ~ $true ) = $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( ~ ( says @ SV2 @ $false ) )
= $true )
| ( ( ~ $false ) = $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV6: $o,SV3: $i] :
( ( ( ~ ( says @ SV3 @ SV6 ) )
= $true )
| ( SV6 = $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(59,plain,
! [SV3: $i] :
( ( ( ~ ( says @ SV3 @ $true ) )
= $true )
| ( $true = $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV3: $i] :
( ( ( ~ ( says @ SV3 @ $false ) )
= $true )
| ( $false = $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
| ~ ( is_a @ zoey @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV5: $o,SV2: $i] :
( ( ( says @ SV2 @ SV5 )
= $false )
| ( ( ~ SV5 ) = $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV2: $i] :
( ( ( says @ SV2 @ $true )
= $false )
| ( ( ~ $true ) = $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( says @ SV2 @ $false )
= $false )
| ( ( ~ $false ) = $true )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV6: $o,SV3: $i] :
( ( ( says @ SV3 @ SV6 )
= $false )
| ( SV6 = $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV3: $i] :
( ( ( says @ SV3 @ $true )
= $false )
| ( $true = $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV3: $i] :
( ( ( says @ SV3 @ $false )
= $false )
| ( $false = $true )
| ( ( is_a @ SV3 @ knight )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
| ~ ( is_a @ zoey @ SV7 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV2: $i,SV5: $o] :
( ( SV5 = $false )
| ( ( says @ SV2 @ SV5 )
= $false )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(70,plain,
! [SV2: $i] :
( ( $true = $false )
| ( ( says @ SV2 @ $true )
= $false )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(71,plain,
! [SV2: $i] :
( ( $false = $false )
| ( ( says @ SV2 @ $false )
= $false )
| ( ( is_a @ SV2 @ knave )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(72,plain,
! [SV7: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
| ~ ( is_a @ zoey @ SV7 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(73,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[72]) ).
thf(74,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) ) )
= $false )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(75,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
| ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(76,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[75]) ).
thf(77,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) ) )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(78,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
| ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(79,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(80,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(81,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) ) )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(82,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) )
| ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(83,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != knight )
| ( SV4 = knave ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(84,plain,
! [SV7: $i,SV4: $i] :
( ( ( ~ ( ( SV4 != knave )
| ( SV4 = knight ) ) )
= $false )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(85,plain,
! [SV7: $i,SV4: $i] :
( ( ( ( SV4 != knight )
| ( SV4 = knave ) )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(86,plain,
! [SV7: $i,SV4: $i] :
( ( ( ( SV4 != knave )
| ( SV4 = knight ) )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(87,plain,
! [SV7: $i,SV4: $i] :
( ( ( SV4 != knight )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(88,plain,
! [SV7: $i,SV4: $i] :
( ( ( SV4 != knave )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(89,plain,
! [SV7: $i,SV4: $i] :
( ( ( SV4 = knight )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(90,plain,
! [SV7: $i,SV4: $i] :
( ( ( SV4 = knave )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( ~ ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(91,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(92,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(93,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(94,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) ) )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(95,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(96,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) )
| ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(97,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) ) )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(98,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(99,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != knight )
| ( SV7 = knave ) ) )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(100,plain,
! [SV4: $i,SV7: $i] :
( ( ( ~ ( ( SV7 != knave )
| ( SV7 = knight ) ) )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[96]) ).
thf(101,plain,
! [SV4: $i,SV7: $i] :
( ( ( ( SV7 != knight )
| ( SV7 = knave ) )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(102,plain,
! [SV4: $i,SV7: $i] :
( ( ( ( SV7 != knave )
| ( SV7 = knight ) )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(103,plain,
! [SV4: $i,SV7: $i] :
( ( ( ( SV7 != knight )
| ( SV7 = knave ) )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(104,plain,
! [SV4: $i,SV7: $i] :
( ( ( ( SV7 != knave )
| ( SV7 = knight ) )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(105,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 != knight )
= $true )
| ( ( SV7 = knave )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 != knave )
= $true )
| ( ( SV7 = knight )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 != knight )
= $true )
| ( ( SV7 = knave )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 != knave )
= $true )
| ( ( SV7 = knight )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 = knight )
= $false )
| ( ( SV7 = knave )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 = knave )
= $false )
| ( ( SV7 = knight )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 = knight )
= $false )
| ( ( SV7 = knave )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV4: $i,SV7: $i] :
( ( ( SV7 = knave )
= $false )
| ( ( SV7 = knight )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( ~ ( is_a @ mel @ SV4 ) )
= $true )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV7: $i,SV4: $i] :
( ( ( is_a @ mel @ SV4 )
= $false )
| ( ( SV4 = knight )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( SV7 = knave )
= $true )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV7: $i,SV4: $i] :
( ( ( is_a @ mel @ SV4 )
= $false )
| ( ( SV4 = knight )
= $false )
| ( ( SV4 = knave )
= $true )
| ( ( SV7 = knight )
= $true )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV7: $i,SV4: $i] :
( ( ( is_a @ mel @ SV4 )
= $false )
| ( ( SV4 = knave )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( SV7 = knave )
= $true )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV7: $i,SV4: $i] :
( ( ( is_a @ mel @ SV4 )
= $false )
| ( ( SV4 = knave )
= $false )
| ( ( SV4 = knight )
= $true )
| ( ( SV7 = knight )
= $true )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( is_a @ zoey @ SV7 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(117,plain,
! [SV4: $i,SV7: $i] :
( ( ( is_a @ zoey @ SV7 )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( SV7 = knave )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( is_a @ mel @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(118,plain,
! [SV4: $i,SV7: $i] :
( ( ( is_a @ zoey @ SV7 )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( SV7 = knight )
= $true )
| ( ( SV4 = knave )
= $true )
| ( ( SV4 = knight )
= $false )
| ( ( is_a @ mel @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[114]) ).
thf(119,plain,
! [SV4: $i,SV7: $i] :
( ( ( is_a @ zoey @ SV7 )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( SV7 = knave )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( is_a @ mel @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(120,plain,
! [SV4: $i,SV7: $i] :
( ( ( is_a @ zoey @ SV7 )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( SV7 = knight )
= $true )
| ( ( SV4 = knight )
= $true )
| ( ( SV4 = knave )
= $false )
| ( ( is_a @ mel @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(121,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,120,119,118,117,71,70,69,67,66,65,47,41,40,22]) ).
thf(122,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ081^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.20 % Computer : n018.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Tue Oct 6 14:01:37 UTC 2026
% 0.11/0.20 % CPUTime :
% 0.11/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.26
% 0.11/0.26 No.of.Axioms: 6
% 0.11/0.26
% 0.11/0.26 Length.of.Defs: 0
% 0.11/0.26
% 0.11/0.26 Contains.Choice.Funs: false
% 0.11/0.26 ..
% 0.11/0.26
% 0.11/0.26 ********************************
% 0.11/0.26 * All subproblems solved! *
% 0.11/0.26 ********************************
% 0.11/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:121,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.26
% 0.11/0.26 %**** Beginning of derivation protocol ****
% 0.11/0.26 % SZS output start CNFRefutation
% See solution above
% 0.11/0.26
% 0.11/0.26 %**** End of derivation protocol ****
% 0.11/0.26 %**** no. of clauses in derivation: 122 ****
% 0.11/0.26 %**** clause counter: 121 ****
% 0.11/0.26
% 0.11/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:121,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------