%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : PUZ081^2 : TPTP v9.3.1. Bugfixed v7.1.0.
% 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 1.41s 0.47s
% Output : CNFRefutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 6
% Syntax : Number of formulae : 494 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 5769 (2549 equ; 0 cnn)
% Maximal formula atoms : 6 ( 11 avg)
% Number of connectives : 7676 (1178 ~;1870 |; 24 &;4595 @)
% ( 0 <=>; 6 =>; 0 <=; 3 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 820 ( 820 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 4 con; 0-2 aty)
% Number of variables : 938 ( 0 ^; 928 !; 10 ?; 938 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_knave,type,
knave: $i > $o ).
thf(tp_knight,type,
knight: $i > $o ).
thf(tp_mel,type,
mel: $i ).
thf(tp_sK10_SV17,type,
sK10_SV17: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK11_SV18,type,
sK11_SV18: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK12_SV19,type,
sK12_SV19: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK13_SV20,type,
sK13_SV20: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK14_SV21,type,
sK14_SV21: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK15_SV22,type,
sK15_SV22: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK16_SV23,type,
sK16_SV23: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK17_SV24,type,
sK17_SV24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK18_SV25,type,
sK18_SV25: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK1_SV8,type,
sK1_SV8: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK2_SV9,type,
sK2_SV9: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK3_SV10,type,
sK3_SV10: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK4_SV11,type,
sK4_SV11: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK5_SV12,type,
sK5_SV12: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK6_SV13,type,
sK6_SV13: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK7_SV14,type,
sK7_SV14: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK8_SV15,type,
sK8_SV15: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_sK9_SV16,type,
sK9_SV16: ( $i > $o ) > ( $i > $o ) > $i ).
thf(tp_says,type,
says: $i > $o > $o ).
thf(tp_zoey,type,
zoey: $i ).
thf(1,axiom,
( says @ mel
@ ( ~ ( knave @ zoey )
& ~ ( knave @ mel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mel_speaks) ).
thf(2,axiom,
says @ zoey @ ( knave @ mel ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zoey_speaks) ).
thf(3,axiom,
! [P: $i,S: $o] :
( ( ( knave @ P )
& ( says @ P @ S ) )
=> ~ S ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_lie) ).
thf(4,axiom,
! [P: $i,S: $o] :
( ( ( knight @ P )
& ( says @ P @ S ) )
=> S ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_tell_truth) ).
thf(5,axiom,
! [P: $i] :
( ( knight @ P )
<~> ( knave @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_xor_knaves) ).
thf(6,conjecture,
? [TZ: $i > $o,TM: $i > $o] :
( ( ( TZ = knight )
| ( TZ = knave ) )
& ( ( TM = knight )
| ( TM = knave ) )
& ( TZ @ zoey )
& ( TM @ mel ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',what_are_zoey_and_mel) ).
thf(7,negated_conjecture,
( ( ? [TZ: $i > $o,TM: $i > $o] :
( ( ( TZ = knight )
| ( TZ = knave ) )
& ( ( TM = knight )
| ( TM = knave ) )
& ( TZ @ zoey )
& ( TM @ mel ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
( ( ? [TZ: $i > $o,TM: $i > $o] :
( ( ( TZ = knight )
| ( TZ = knave ) )
& ( ( TM = knight )
| ( TM = knave ) )
& ( TZ @ zoey )
& ( TM @ mel ) ) )
= $false ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( says @ mel
@ ( ~ ( knave @ zoey )
& ~ ( knave @ mel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( says @ zoey @ ( knave @ mel ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ! [P: $i,S: $o] :
( ( ( knave @ P )
& ( says @ P @ S ) )
=> ~ S ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [P: $i,S: $o] :
( ( ( knight @ P )
& ( says @ P @ S ) )
=> S ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [P: $i] :
( ( knight @ P )
<~> ( knave @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ ? [TZ: $i > $o,TM: $i > $o] :
( ( ( TZ = knight )
| ( TZ = knave ) )
& ( ( TM = knight )
| ( TM = knave ) )
& ( TZ @ zoey )
& ( TM @ mel ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [P: $i] :
( ( knight @ P )
<~> ( knave @ P ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [P: $i,S: $o] :
( ( ( knight @ P )
& ( says @ P @ S ) )
=> S ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(17,plain,
( ( ! [P: $i,S: $o] :
( ( ( knave @ P )
& ( says @ P @ S ) )
=> ~ S ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( says @ zoey @ ( knave @ mel ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(19,plain,
( ( says @ mel
@ ( ~ ( knave @ zoey )
& ~ ( knave @ mel ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(20,plain,
( ( ~ ? [TZ: $i > $o,TM: $i > $o] :
( ( ( TZ = knight )
| ( TZ = knave ) )
& ( ( TM = knight )
| ( TM = knave ) )
& ( TZ @ zoey )
& ( TM @ mel ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
( ( ~ ~ ! [SX0: $i > $o] :
~ ~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX0 = knight )
| ( SX0 = knave ) )
| ~ ( ( SX1 = knight )
| ( SX1 = knave ) ) )
| ~ ( SX0 @ zoey ) )
| ~ ( SX1 @ mel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(22,plain,
( ( ! [SX0: $i] :
~ ~ ( ~ ( ~ ( knight @ SX0 )
| ( knave @ SX0 ) )
| ~ ( ~ ( knave @ SX0 )
| ( knight @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(23,plain,
( ( ! [SX0: $i,SX1: $o] :
( ~ ~ ( ~ ( knight @ SX0 )
| ~ ( says @ SX0 @ SX1 ) )
| SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(24,plain,
( ( ! [SX0: $i,SX1: $o] :
( ~ ~ ( ~ ( knave @ SX0 )
| ~ ( says @ SX0 @ SX1 ) )
| ~ SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(25,plain,
( ( says @ mel
@ ~ ( ~ ~ ( knave @ zoey )
| ~ ~ ( knave @ mel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(26,plain,
( ( ~ ! [SX0: $i > $o] :
~ ~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX0 = knight )
| ( SX0 = knave ) )
| ~ ( ( SX1 = knight )
| ( SX1 = knave ) ) )
| ~ ( SX0 @ zoey ) )
| ~ ( SX1 @ mel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(27,plain,
! [SV1: $i] :
( ( ~ ~ ( ~ ( ~ ( knight @ SV1 )
| ( knave @ SV1 ) )
| ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV2: $i] :
( ( ! [SY7: $o] :
( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ SY7 ) )
| SY7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV3: $i] :
( ( ! [SY8: $o] :
( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ SY8 ) )
| ~ SY8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
( ( ! [SX0: $i > $o] :
~ ~ ! [SX1: $i > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX0 = knight )
| ( SX0 = knave ) )
| ~ ( ( SX1 = knight )
| ( SX1 = knave ) ) )
| ~ ( SX0 @ zoey ) )
| ~ ( SX1 @ mel ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i] :
( ( ~ ( ~ ( ~ ( knight @ SV1 )
| ( knave @ SV1 ) )
| ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV4: $o,SV2: $i] :
( ( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ SV4 ) )
| SV4 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $true ) )
| $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[28]) ).
thf(34,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $false ) )
| $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[28]) ).
thf(35,plain,
! [SV5: $o,SV3: $i] :
( ( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ SV5 ) )
| ~ SV5 )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $true ) )
| ~ $true )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(37,plain,
! [SV3: $i] :
( ( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $false ) )
| ~ $false )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV6: $i > $o] :
( ( ~ ~ ! [SY9: $i > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SY9 = knight )
| ( SY9 = knave ) ) )
| ~ ( SV6 @ zoey ) )
| ~ ( SY9 @ mel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
! [SV1: $i] :
( ( ~ ( ~ ( knight @ SV1 )
| ( knave @ SV1 ) )
| ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(40,plain,
! [SV4: $o,SV2: $i] :
( ( ( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ SV4 ) ) )
= $true )
| ( SV4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(41,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $true ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(42,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $false ) ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(43,plain,
! [SV5: $o,SV3: $i] :
( ( ( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ SV5 ) ) )
= $true )
| ( ( ~ SV5 ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(44,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $true ) ) )
= $true )
| ( ( ~ $true ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(45,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $false ) ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(46,plain,
! [SV6: $i > $o] :
( ( ~ ! [SY9: $i > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SY9 = knight )
| ( SY9 = knave ) ) )
| ~ ( SV6 @ zoey ) )
| ~ ( SY9 @ mel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( knight @ SV1 )
| ( knave @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(48,plain,
! [SV4: $o,SV2: $i] :
( ( ( ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ SV4 ) ) )
= $false )
| ( SV4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $true ) ) )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(50,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $false ) ) )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV5: $o,SV3: $i] :
( ( ( ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ SV5 ) ) )
= $false )
| ( ( ~ SV5 ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $true ) ) )
= $false )
| ( ( ~ $true ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $false ) ) )
= $false )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV6: $i > $o] :
( ( ! [SY9: $i > $o] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SY9 = knight )
| ( SY9 = knave ) ) )
| ~ ( SV6 @ zoey ) )
| ~ ( SY9 @ mel ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(55,plain,
! [SV1: $i] :
( ( ( ~ ( knight @ SV1 )
| ( knave @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(56,plain,
! [SV4: $o,SV2: $i] :
( ( ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ SV4 ) )
= $true )
| ( SV4 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(57,plain,
! [SV2: $i] :
( ( ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $true ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(58,plain,
! [SV2: $i] :
( ( ( ~ ( knight @ SV2 )
| ~ ( says @ SV2 @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(59,plain,
! [SV5: $o,SV3: $i] :
( ( ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ SV5 ) )
= $true )
| ( ( ~ SV5 ) = $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV3: $i] :
( ( ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $true ) )
= $true )
| ( ( ~ $true ) = $true ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV3: $i] :
( ( ( ~ ( knave @ SV3 )
| ~ ( says @ SV3 @ $false ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(62,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
| ~ ( SV6 @ zoey ) )
| ~ ( SV7 @ mel ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV1: $i] :
( ( ( ~ ( knight @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(64,plain,
! [SV1: $i] :
( ( ( knave @ SV1 )
= $false )
| ( ( ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
! [SV4: $o,SV2: $i] :
( ( ( ~ ( knight @ SV2 ) )
= $true )
| ( ( ~ ( says @ SV2 @ SV4 ) )
= $true )
| ( SV4 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV2: $i] :
( ( ( ~ ( knight @ SV2 ) )
= $true )
| ( ( ~ ( says @ SV2 @ $true ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV2: $i] :
( ( ( ~ ( knight @ SV2 ) )
= $true )
| ( ( ~ ( says @ SV2 @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV5: $o,SV3: $i] :
( ( ( ~ ( knave @ SV3 ) )
= $true )
| ( ( ~ ( says @ SV3 @ SV5 ) )
= $true )
| ( ( ~ SV5 ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(69,plain,
! [SV3: $i] :
( ( ( ~ ( knave @ SV3 ) )
= $true )
| ( ( ~ ( says @ SV3 @ $true ) )
= $true )
| ( ( ~ $true ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV3: $i] :
( ( ( ~ ( knave @ SV3 ) )
= $true )
| ( ( ~ ( says @ SV3 @ $false ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
| ~ ( SV6 @ zoey ) )
| ~ ( SV7 @ mel ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV1: $i] :
( ( ( knight @ SV1 )
= $true )
| ( ( ~ ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV1: $i] :
( ( ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) )
= $false )
| ( ( knave @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV4: $o,SV2: $i] :
( ( ( knight @ SV2 )
= $false )
| ( ( ~ ( says @ SV2 @ SV4 ) )
= $true )
| ( SV4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV2: $i] :
( ( ( knight @ SV2 )
= $false )
| ( ( ~ ( says @ SV2 @ $true ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV2: $i] :
( ( ( knight @ SV2 )
= $false )
| ( ( ~ ( says @ SV2 @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV5: $o,SV3: $i] :
( ( ( knave @ SV3 )
= $false )
| ( ( ~ ( says @ SV3 @ SV5 ) )
= $true )
| ( ( ~ SV5 ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV3: $i] :
( ( ( knave @ SV3 )
= $false )
| ( ( ~ ( says @ SV3 @ $true ) )
= $true )
| ( ( ~ $true ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(79,plain,
! [SV3: $i] :
( ( ( knave @ SV3 )
= $false )
| ( ( ~ ( says @ SV3 @ $false ) )
= $true )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(80,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
| ~ ( SV6 @ zoey ) )
| ~ ( SV7 @ mel ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( ~ ( knave @ SV1 )
| ( knight @ SV1 ) )
= $false )
| ( ( knight @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(82,plain,
! [SV1: $i] :
( ( ( ~ ( knave @ SV1 ) )
= $false )
| ( ( knave @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(83,plain,
! [SV1: $i] :
( ( ( knight @ SV1 )
= $false )
| ( ( knave @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(84,plain,
! [SV4: $o,SV2: $i] :
( ( ( says @ SV2 @ SV4 )
= $false )
| ( ( knight @ SV2 )
= $false )
| ( SV4 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV2: $i] :
( ( ( says @ SV2 @ $true )
= $false )
| ( ( knight @ SV2 )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(86,plain,
! [SV2: $i] :
( ( ( says @ SV2 @ $false )
= $false )
| ( ( knight @ SV2 )
= $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV5: $o,SV3: $i] :
( ( ( says @ SV3 @ SV5 )
= $false )
| ( ( knave @ SV3 )
= $false )
| ( ( ~ SV5 ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV3: $i] :
( ( ( says @ SV3 @ $true )
= $false )
| ( ( knave @ SV3 )
= $false )
| ( ( ~ $true ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV3: $i] :
( ( ( says @ SV3 @ $false )
= $false )
| ( ( knave @ SV3 )
= $false )
| ( ( ~ $false ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(90,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
| ~ ( SV6 @ zoey ) ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(91,plain,
! [SV1: $i] :
( ( ( ~ ( knave @ SV1 ) )
= $false )
| ( ( knight @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV1: $i] :
( ( ( knight @ SV1 )
= $false )
| ( ( knight @ SV1 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(93,plain,
! [SV1: $i] :
( ( ( knave @ SV1 )
= $true )
| ( ( knave @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(94,plain,
! [SV3: $i,SV5: $o] :
( ( SV5 = $false )
| ( ( knave @ SV3 )
= $false )
| ( ( says @ SV3 @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(95,plain,
! [SV3: $i] :
( ( $true = $false )
| ( ( knave @ SV3 )
= $false )
| ( ( says @ SV3 @ $true )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(96,plain,
! [SV3: $i] :
( ( $false = $false )
| ( ( knave @ SV3 )
= $false )
| ( ( says @ SV3 @ $false )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(97,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
| ~ ( SV6 @ zoey ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(98,plain,
! [SV1: $i] :
( ( ( knave @ SV1 )
= $true )
| ( ( knight @ SV1 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(99,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
| ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(100,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(101,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(102,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) )
| ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[101]) ).
thf(103,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ( SV6 = knight )
| ( SV6 = knave ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(104,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 = knight )
| ( SV6 = knave ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(105,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 = knight )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(106,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 = knave )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[104]) ).
thf(107,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ! [SV8: $i] :
( ( SV6 @ SV8 )
= ( knight @ SV8 ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(108,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 = knight )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[105]) ).
thf(109,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ! [SV9: $i] :
( ( SV6 @ SV9 )
= ( knave @ SV9 ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[106]) ).
thf(110,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 = knave )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[106]) ).
thf(111,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[107]) ).
thf(112,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[109]) ).
thf(114,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
| ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
| ~ ( ~ ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
| ~ ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(116,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[111]) ).
thf(117,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(118,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(119,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
| ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
| ~ ( ~ ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
| ~ ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[113]) ).
thf(120,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[113]) ).
thf(121,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(122,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(123,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
| ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(124,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
| ~ ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(125,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(126,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV10: $i] :
( ( SV7 @ SV10 )
= ( knight @ SV10 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[117]) ).
thf(127,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[117]) ).
thf(128,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV11: $i] :
( ( SV7 @ SV11 )
= ( knave @ SV11 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[118]) ).
thf(129,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[118]) ).
thf(130,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
| ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(131,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( ~ ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
| ~ ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(132,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(133,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV12: $i] :
( ( SV7 @ SV12 )
= ( knight @ SV12 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[121]) ).
thf(134,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[121]) ).
thf(135,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV13: $i] :
( ( SV7 @ SV13 )
= ( knave @ SV13 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[122]) ).
thf(136,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[122]) ).
thf(137,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
| ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(138,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
| ~ ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(139,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(140,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[125]) ).
thf(141,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(142,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(144,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(145,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
| ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(146,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
| ~ ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(147,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(148,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(149,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(150,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(151,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[135]) ).
thf(152,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(153,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(154,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(155,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV14: $i] :
( ( SV7 @ SV14 )
= ( knight @ SV14 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[139]) ).
thf(156,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[139]) ).
thf(157,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV15: $i] :
( ( SV7 @ SV15 )
= ( knave @ SV15 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[140]) ).
thf(158,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[140]) ).
thf(159,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
| ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[141]) ).
thf(160,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[141]) ).
thf(161,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(162,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
| ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[143]) ).
thf(163,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[143]) ).
thf(164,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(165,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(166,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( ~ ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(167,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV16: $i] :
( ( SV7 @ SV16 )
= ( knight @ SV16 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[147]) ).
thf(168,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[147]) ).
thf(169,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV17: $i] :
( ( SV7 @ SV17 )
= ( knave @ SV17 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[148]) ).
thf(170,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[148]) ).
thf(171,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
| ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[149]) ).
thf(172,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[149]) ).
thf(173,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(174,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
| ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[151]) ).
thf(175,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[151]) ).
thf(176,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(177,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(178,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(179,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[155]) ).
thf(180,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(181,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[157]) ).
thf(182,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(183,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
| ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(184,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(185,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(186,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
| ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(187,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(188,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(189,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(190,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $true )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(191,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[167]) ).
thf(192,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(193,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[169]) ).
thf(194,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(195,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
| ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(196,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[171]) ).
thf(197,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(198,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
| ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(199,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[174]) ).
thf(200,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(201,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(202,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(203,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(204,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
| ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(205,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[179]) ).
thf(206,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(207,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
| ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[181]) ).
thf(208,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[181]) ).
thf(209,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(210,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
| ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(211,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(212,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(213,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
| ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(214,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(215,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(216,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(217,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[189]) ).
thf(218,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( ( SV7 = knight )
| ( SV7 = knave ) ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(219,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
| ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(220,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[191]) ).
thf(221,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(222,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
| ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[193]) ).
thf(223,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[193]) ).
thf(224,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[194]) ).
thf(225,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
| ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(226,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[196]) ).
thf(227,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(228,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
| ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[198]) ).
thf(229,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(230,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(231,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV18: $i] :
( ( SV7 @ SV18 )
= ( knight @ SV18 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[201]) ).
thf(232,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[201]) ).
thf(233,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV19: $i] :
( ( SV7 @ SV19 )
= ( knave @ SV19 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[202]) ).
thf(234,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[202]) ).
thf(235,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(236,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
| ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(237,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(238,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(239,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
| ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(240,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[207]) ).
thf(241,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(242,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(243,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(244,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(245,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(246,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV20: $i] :
( ( SV7 @ SV20 )
= ( knight @ SV20 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[216]) ).
thf(247,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[216]) ).
thf(248,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV21: $i] :
( ( SV7 @ SV21 )
= ( knave @ SV21 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[217]) ).
thf(249,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[217]) ).
thf(250,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 = knight )
| ( SV7 = knave ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(251,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
| ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(252,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(253,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(254,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
| ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(255,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(256,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(257,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(258,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(259,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(260,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(261,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[231]) ).
thf(262,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(263,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[233]) ).
thf(264,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(265,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(266,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(267,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
| ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(268,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[237]) ).
thf(269,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(270,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
| ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(271,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(272,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(273,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(274,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(275,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(276,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(277,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[246]) ).
thf(278,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(279,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[248]) ).
thf(280,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(281,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(282,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(283,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
| ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(284,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(285,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(286,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
| ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(287,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(288,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(289,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(290,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(291,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(292,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(293,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
| ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[261]) ).
thf(294,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[261]) ).
thf(295,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(296,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
| ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[263]) ).
thf(297,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[263]) ).
thf(298,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(299,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV22: $i] :
( ( SV7 @ SV22 )
= ( knight @ SV22 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[265]) ).
thf(300,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[265]) ).
thf(301,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV23: $i] :
( ( SV7 @ SV23 )
= ( knave @ SV23 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[266]) ).
thf(302,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[266]) ).
thf(303,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(304,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(305,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(306,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(307,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(308,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(309,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(310,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(311,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
| ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[277]) ).
thf(312,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[277]) ).
thf(313,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(314,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
| ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[279]) ).
thf(315,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[279]) ).
thf(316,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[280]) ).
thf(317,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV24: $i] :
( ( SV7 @ SV24 )
= ( knight @ SV24 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[281]) ).
thf(318,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knight )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[281]) ).
thf(319,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ! [SV25: $i] :
( ( SV7 @ SV25 )
= ( knave @ SV25 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[282]) ).
thf(320,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 = knave )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[282]) ).
thf(321,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(322,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(323,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(324,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(325,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(326,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(327,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(328,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(329,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
| ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(330,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[293]) ).
thf(331,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[294]) ).
thf(332,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
| ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(333,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[296]) ).
thf(334,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(335,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[299]) ).
thf(336,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(337,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[301]) ).
thf(338,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(339,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(340,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(341,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(342,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(343,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(344,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(345,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
| ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(346,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(347,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(348,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
| ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(349,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[314]) ).
thf(350,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(351,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[317]) ).
thf(352,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(353,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[319]) ).
thf(354,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(355,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(356,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(357,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(358,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(359,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(360,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(361,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
| ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(362,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(363,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(364,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
| ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(365,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(366,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(367,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
| ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[335]) ).
thf(368,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[335]) ).
thf(369,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(370,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
| ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[337]) ).
thf(371,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[337]) ).
thf(372,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(373,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(374,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(375,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(376,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(377,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK3_SV10 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(378,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK4_SV11 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knight )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(379,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
| ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(380,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(381,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(382,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
| ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(383,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(384,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(385,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
| ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[351]) ).
thf(386,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[351]) ).
thf(387,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knight )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(388,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
| ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
| ~ ( ~ ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[353]) ).
thf(389,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[353]) ).
thf(390,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 = knave )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(391,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(392,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(393,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $true )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(394,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(395,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK5_SV12 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(396,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK6_SV13 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 = knave )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(397,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(398,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(399,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(400,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(401,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
| ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(402,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(403,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(404,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
| ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(405,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[370]) ).
thf(406,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(407,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(408,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(409,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(410,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(411,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(412,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(413,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
| ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(414,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[385]) ).
thf(415,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(416,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
| ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(417,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( ~ ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[388]) ).
thf(418,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(419,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(420,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(421,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(422,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(423,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(424,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(425,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
| ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(426,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(427,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(428,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
| ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(429,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(430,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(431,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK7_SV14 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(432,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK8_SV15 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(433,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(434,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(435,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(436,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(437,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
| ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(438,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
| ~ ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(439,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(440,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
| ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(441,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
| ~ ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[417]) ).
thf(442,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(443,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK9_SV16 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(444,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK10_SV17 @ SV6 @ SV7 ) )
= $false )
| ( ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(445,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(446,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(447,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(448,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(449,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(450,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[426]) ).
thf(451,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(452,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(453,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(454,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(455,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(456,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(457,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(458,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[438]) ).
thf(459,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(460,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( ~ ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $true )
| ( ( ~ ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(461,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(462,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(463,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(464,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(465,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(466,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(467,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(468,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(469,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(470,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(471,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $true )
| ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(472,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(473,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK11_SV18 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(474,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK12_SV19 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(475,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(476,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(477,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(478,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(479,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK13_SV20 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(480,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK14_SV21 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $true )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(481,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $true )
| ( ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(482,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(483,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $true )
| ( ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $true )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(484,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( ~ ( SV6 @ zoey ) )
= $true )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(485,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(486,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(487,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(488,plain,
! [SV7: $i > $o,SV6: $i > $o] :
( ( ( SV6 @ zoey )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( ~ ( SV7 @ mel ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(489,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK15_SV22 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(490,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK16_SV23 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( knight @ ( sK1_SV8 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(491,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knight @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK17_SV24 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(492,plain,
! [SV6: $i > $o,SV7: $i > $o] :
( ( ( SV7 @ mel )
= $false )
| ( ( knave @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( SV7 @ ( sK18_SV25 @ SV6 @ SV7 ) )
= $false )
| ( ( SV6 @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( knave @ ( sK2_SV9 @ SV7 @ SV6 ) )
= $false )
| ( ( SV6 @ zoey )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(493,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,492,491,490,489,483,481,480,479,477,475,474,473,455,453,447,445,444,443,442,439,432,431,430,427,396,395,393,391,390,387,384,381,378,377,375,373,372,369,366,363,327,325,316,313,309,307,298,295,288,285,272,269,230,227,224,221,215,212,209,206,176,173,164,161,98,96,95,94,93,92,86,85,84,83,25]) ).
thf(494,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ081^2 : TPTP v9.3.1. Bugfixed v7.1.0.
% 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
% 0.11/0.17 % Computer : n018.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 14:01:51 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.41/0.47
% 1.41/0.47 No.of.Axioms: 5
% 1.41/0.47
% 1.41/0.47 Length.of.Defs: 0
% 1.41/0.47
% 1.41/0.47 Contains.Choice.Funs: false
% 1.41/0.47 .....
% 1.41/0.47
% 1.41/0.47 ********************************
% 1.41/0.47 * All subproblems solved! *
% 1.41/0.47 ********************************
% 1.41/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:493,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.41/0.47
% 1.41/0.47 %**** Beginning of derivation protocol ****
% 1.41/0.47 % SZS output start CNFRefutation
% See solution above
% 1.41/0.47
% 1.41/0.47 %**** End of derivation protocol ****
% 1.41/0.47 %**** no. of clauses in derivation: 494 ****
% 1.41/0.47 %**** clause counter: 493 ****
% 1.41/0.47
% 1.41/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:5,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:493,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------