TSTP Solution File: SYO041^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO041^1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 17:31:36 EDT 2022
% Result : Unsatisfiable 2.11s 2.39s
% Output : CNFRefutation 9.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 1612 ( 36 unt; 5 typ; 0 def)
% Number of atoms : 37706 (9193 equ; 0 cnn)
% Maximal formula atoms : 10 ( 23 avg)
% Number of connectives : 17857 ( 144 ~;7042 |; 12 &;10659 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $o ).
thf(tp_f,type,
f: $o > $o ).
thf(tp_g,type,
g: $o > $o ).
thf(tp_x,type,
x: $o ).
thf(tp_y,type,
y: $o ).
thf(1,axiom,
( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',3) ).
thf(5,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(8,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ( ( f @ ( f @ ( f @ x ) ) )
!= ( g @ ( f @ x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ( ( f @ ( f @ ( f @ x ) ) )
!= ( g @ ( f @ x ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
!= ( g @ ( f @ x ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( ( f @ ( f @ ( f @ x ) ) )
| ( g @ ( f @ x ) ) )
| ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ( ( g @ y )
!= x ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
( ( ( ~ ( ( f @ ( f @ ( f @ x ) ) )
| ( g @ ( f @ x ) ) ) )
= $true )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ( g @ y )
= x )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
| ( g @ ( f @ x ) ) )
= $false )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( ( g @ y )
| x )
| ~ ( ~ ( g @ y )
| ~ x ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ( g @ y )
= x )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[24]) ).
thf(29,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ( ( x != y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ( ( g @ x )
!= y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(33,plain,
( ( ( ~ ( ( g @ y )
| x ) )
= $true )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(34,plain,
( ( ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
( ( ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
( ( ( x != y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(37,plain,
( ( ( g @ x )
= y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(38,plain,
( ( ( ( g @ y )
| x )
= $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( ( ~ ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(41,plain,
( ( ( ~ ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(43,plain,
( ( x = y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(44,plain,
( ( ~ ( ( g @ x )
| y )
| ~ ( ~ ( g @ x )
| ~ y ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(45,plain,
( ( ( g @ x )
= y )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[37]) ).
thf(46,plain,
( ( ( g @ y )
= $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(47,plain,
( ( x = $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(49,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(50,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(52,plain,
( ( ~ ( x
| y )
| ~ ( ~ x
| ~ y ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[43]) ).
thf(53,plain,
( ( x = y )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[43]) ).
thf(54,plain,
( ( ( ~ ( ( g @ x )
| y ) )
= $true )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(55,plain,
( ( ( ~ ( g @ y )
| ~ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(56,plain,
( ( ( ~ ( g @ y )
| ~ x )
= $false )
| ( x = $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(57,plain,
( ( ~ ( x
| y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(58,plain,
( ( ~ ( ~ x
| ~ y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(59,plain,
( ( ( ( g @ x )
| y )
= $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(61,plain,
( ( ( ~ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(62,plain,
( ( ( ~ ( g @ y ) )
= $false )
| ( x = $false ) ),
inference(extcnf_or_neg,[status(thm)],[56]) ).
thf(64,plain,
( ( x
| y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(65,plain,
( ( ~ x
| ~ y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(66,plain,
( ( ( g @ x )
= $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(67,plain,
( ( y = $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[59]) ).
thf(69,plain,
( ( x = $true )
| ( ( g @ y )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(70,plain,
( ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(extcnf_not_neg,[status(thm)],[62]) ).
thf(72,plain,
( ( x = $true )
| ( y = $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(73,plain,
( ( ( ~ x )
= $true )
| ( ( ~ y )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(74,plain,
( ( ( ~ ( g @ x )
| ~ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(75,plain,
( ( ( ~ ( g @ x )
| ~ y )
= $false )
| ( y = $false ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(76,plain,
( ( x = $false )
| ( ( ~ y )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(78,plain,
( ( ( ~ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(79,plain,
( ( ( ~ ( g @ x ) )
= $false )
| ( y = $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(81,plain,
( ( y = $false )
| ( x = $false ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(83,plain,
( ( y = $true )
| ( ( g @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(84,plain,
( ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(138,plain,
( ( ( x = y )
= ( ( g @ x )
= y ) )
= $false ),
inference(res,[status(thm)],[53,45]) ).
thf(139,plain,
( ( ( x = y )
= ( ( g @ y )
= x ) )
= $false ),
inference(res,[status(thm)],[53,28]) ).
thf(149,plain,
( ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[139]) ).
thf(150,plain,
( ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[139]) ).
thf(159,plain,
( ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[138]) ).
thf(160,plain,
( ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[138]) ).
thf(171,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[69,49]) ).
thf(176,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[171]) ).
thf(182,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[70,50]) ).
thf(189,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[182]) ).
thf(241,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[83,49]) ).
thf(246,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[241]) ).
thf(263,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[84,50]) ).
thf(270,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[263]) ).
thf(278,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[149,84]) ).
thf(291,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[149,50]) ).
thf(296,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[291]) ).
thf(302,plain,
( ( ( g @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[278]) ).
thf(303,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[296]) ).
thf(312,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[150,83]) ).
thf(323,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[150,49]) ).
thf(333,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[323]) ).
thf(336,plain,
( ( ( g @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[312]) ).
thf(341,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[333]) ).
thf(361,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[159,50]) ).
thf(366,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[361]) ).
thf(375,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[366]) ).
thf(399,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[160,49]) ).
thf(409,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[399]) ).
thf(419,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[409]) ).
thf(441,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[176,149]) ).
thf(449,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[176,83]) ).
thf(454,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[176,72]) ).
thf(469,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[176,50]) ).
thf(471,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[176,50]) ).
thf(485,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[471]) ).
thf(486,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[469]) ).
thf(489,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[454]) ).
thf(491,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[449]) ).
thf(492,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[441]) ).
thf(494,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[486]) ).
thf(495,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[489]) ).
thf(525,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[189,150]) ).
thf(530,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[189,84]) ).
thf(541,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[189,81]) ).
thf(560,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[189,49]) ).
thf(562,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[189,49]) ).
thf(567,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[562]) ).
thf(569,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[560]) ).
thf(572,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[541]) ).
thf(573,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[530]) ).
thf(574,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[525]) ).
thf(584,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[569]) ).
thf(586,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[572]) ).
thf(595,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(res,[status(thm)],[246,189]) ).
thf(600,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[246,189]) ).
thf(615,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[246,159]) ).
thf(639,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[246,72]) ).
thf(647,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[246,69]) ).
thf(651,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[246,50]) ).
thf(653,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[246,50]) ).
thf(667,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[653]) ).
thf(669,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[651]) ).
thf(670,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[647]) ).
thf(671,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[639]) ).
thf(675,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[615]) ).
thf(680,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[600]) ).
thf(682,plain,
( ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[595]) ).
thf(684,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[669]) ).
thf(685,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[671]) ).
thf(687,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[680]) ).
thf(688,plain,
( ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[682]) ).
thf(713,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false ) ),
inference(res,[status(thm)],[270,176]) ).
thf(718,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[270,176]) ).
thf(725,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[270,160]) ).
thf(746,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[270,81]) ).
thf(754,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[270,70]) ).
thf(768,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[270,49]) ).
thf(770,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[270,49]) ).
thf(775,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[770]) ).
thf(776,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[768]) ).
thf(778,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[754]) ).
thf(780,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[746]) ).
thf(783,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[725]) ).
thf(785,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[718]) ).
thf(787,plain,
( ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[713]) ).
thf(800,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[776]) ).
thf(802,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[780]) ).
thf(803,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[785]) ).
thf(804,plain,
( ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[787]) ).
thf(821,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[302,160]) ).
thf(822,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[302,160]) ).
thf(825,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[302,150]) ).
thf(826,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[302,150]) ).
thf(831,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[302,83]) ).
thf(832,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[302,83]) ).
thf(839,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[302,69]) ).
thf(840,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[302,69]) ).
thf(843,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[302,50]) ).
thf(844,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[302,50]) ).
thf(847,plain,
( ( ( g @ y )
= $true )
| ( ( ( g @ x )
= ( g @ y ) )
= $false ) ),
inference(fac_restr,[status(thm)],[302]) ).
thf(848,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[844]) ).
thf(849,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[844]) ).
thf(850,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[843]) ).
thf(851,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[843]) ).
thf(852,plain,
( ( x = $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[840]) ).
thf(854,plain,
( ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[839]) ).
thf(855,plain,
( ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[832]) ).
thf(856,plain,
( ( y = $true )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[831]) ).
thf(859,plain,
( ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[826]) ).
thf(860,plain,
( ( y = $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[825]) ).
thf(861,plain,
( ( x = $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[822]) ).
thf(863,plain,
( ( x = $false )
| ( ( g @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[821]) ).
thf(864,plain,
( ( x = $true )
| ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[847]) ).
thf(865,plain,
( ( x = $false )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[847]) ).
thf(866,plain,
( ( x = $true )
| ( ( g @ y )
= $true )
| ( y = $true ) ),
inference(sim,[status(thm)],[852]) ).
thf(867,plain,
( ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[856]) ).
thf(868,plain,
( ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[859]) ).
thf(869,plain,
( ( x = $false )
| ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[863]) ).
thf(871,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[303,270]) ).
thf(875,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[303,246]) ).
thf(879,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[303,246]) ).
thf(901,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[303,150]) ).
thf(904,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[303,84]) ).
thf(913,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[303,81]) ).
thf(927,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[303,49]) ).
thf(929,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[303,49]) ).
thf(930,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[929]) ).
thf(931,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[927]) ).
thf(932,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[927]) ).
thf(933,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[913]) ).
thf(934,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[904]) ).
thf(935,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[901]) ).
thf(945,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[879]) ).
thf(947,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[875]) ).
thf(949,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[871]) ).
thf(950,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[945]) ).
thf(951,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[947]) ).
thf(952,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[949]) ).
thf(960,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[336,302]) ).
thf(961,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[336,302]) ).
thf(973,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[336,159]) ).
thf(974,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[336,159]) ).
thf(977,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[336,149]) ).
thf(978,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[336,149]) ).
thf(981,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[336,84]) ).
thf(982,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[336,84]) ).
thf(989,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[336,70]) ).
thf(990,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[336,70]) ).
thf(995,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[336,49]) ).
thf(996,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[336,49]) ).
thf(1003,plain,
( ( ( g @ y )
= $false )
| ( ( ( g @ x )
= ( g @ y ) )
= $false ) ),
inference(fac_restr,[status(thm)],[336]) ).
thf(1004,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[996]) ).
thf(1005,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[996]) ).
thf(1006,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[995]) ).
thf(1007,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[995]) ).
thf(1009,plain,
( ( x = $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[990]) ).
thf(1010,plain,
( ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[989]) ).
thf(1011,plain,
( ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[982]) ).
thf(1013,plain,
( ( y = $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[981]) ).
thf(1014,plain,
( ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[978]) ).
thf(1016,plain,
( ( y = $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[977]) ).
thf(1017,plain,
( ( x = $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[974]) ).
thf(1018,plain,
( ( x = $true )
| ( ( g @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[973]) ).
thf(1021,plain,
( ( ( g @ y )
= $true )
| ( ( g @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[961]) ).
thf(1022,plain,
( ( ( g @ y )
= $true )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[961]) ).
thf(1023,plain,
( ( ( g @ x )
= $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[960]) ).
thf(1024,plain,
( ( ( g @ x )
= $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[960]) ).
thf(1026,plain,
( ( x = $true )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[1003]) ).
thf(1027,plain,
( ( x = $false )
| ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[1003]) ).
thf(1028,plain,
( ( x = $false )
| ( ( g @ y )
= $false )
| ( y = $false ) ),
inference(sim,[status(thm)],[1009]) ).
thf(1029,plain,
( ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[1013]) ).
thf(1030,plain,
( ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[1014]) ).
thf(1031,plain,
( ( x = $true )
| ( ( g @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1018]) ).
thf(1049,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[341,270]) ).
thf(1053,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[341,270]) ).
thf(1057,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[341,246]) ).
thf(1069,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[341,149]) ).
thf(1075,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[341,83]) ).
thf(1078,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[341,72]) ).
thf(1089,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[341,50]) ).
thf(1091,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[341,50]) ).
thf(1104,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1091]) ).
thf(1105,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1089]) ).
thf(1106,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1089]) ).
thf(1107,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1078]) ).
thf(1108,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1075]) ).
thf(1109,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1069]) ).
thf(1110,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1057]) ).
thf(1112,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1053]) ).
thf(1114,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1049]) ).
thf(1124,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[1110]) ).
thf(1125,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1112]) ).
thf(1126,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1114]) ).
thf(1129,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[375,341]) ).
thf(1133,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[375,341]) ).
thf(1155,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[375,160]) ).
thf(1170,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[375,81]) ).
thf(1176,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[375,70]) ).
thf(1187,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[375,49]) ).
thf(1189,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[375,49]) ).
thf(1190,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1189]) ).
thf(1191,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1187]) ).
thf(1193,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1176]) ).
thf(1194,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1170]) ).
thf(1195,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1155]) ).
thf(1204,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1133]) ).
thf(1206,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1129]) ).
thf(1209,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1191]) ).
thf(1210,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1204]) ).
thf(1211,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1206]) ).
thf(1223,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[419,303]) ).
thf(1227,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[419,303]) ).
thf(1240,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[419,159]) ).
thf(1258,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[419,72]) ).
thf(1264,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[419,69]) ).
thf(1266,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[419,50]) ).
thf(1268,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[419,50]) ).
thf(1281,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[1268]) ).
thf(1283,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1266]) ).
thf(1284,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1264]) ).
thf(1285,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1258]) ).
thf(1286,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1240]) ).
thf(1289,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1227]) ).
thf(1291,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[1223]) ).
thf(1300,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1283]) ).
thf(1301,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1289]) ).
thf(1302,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1291]) ).
thf(1310,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[485,419]) ).
thf(1313,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[485,375]) ).
thf(1319,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[485,375]) ).
thf(1337,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[485,302]) ).
thf(1342,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[485,160]) ).
thf(1354,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[485,149]) ).
thf(1362,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[485,83]) ).
thf(1365,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( y = $false ) ),
inference(res,[status(thm)],[485,81]) ).
thf(1367,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( x = $true ) ),
inference(res,[status(thm)],[485,72]) ).
thf(1373,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[485,70]) ).
thf(1384,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[485,50]) ).
thf(1389,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[485,49]) ).
thf(1399,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1389]) ).
thf(1400,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1384]) ).
thf(1404,plain,
( ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1373]) ).
thf(1405,plain,
( ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1367]) ).
thf(1406,plain,
( ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1365]) ).
thf(1407,plain,
( ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1362]) ).
thf(1410,plain,
( ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1354]) ).
thf(1415,plain,
( ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1342]) ).
thf(1419,plain,
( ( ( g @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1337]) ).
thf(1424,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1319]) ).
thf(1426,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1313]) ).
thf(1427,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1310]) ).
thf(1428,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1400]) ).
thf(1429,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1405]) ).
thf(1430,plain,
( ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1406]) ).
thf(1431,plain,
( ( ( g @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1419]) ).
thf(1432,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1424]) ).
thf(1433,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1426]) ).
thf(1434,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1427]) ).
thf(1448,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[491,419]) ).
thf(1450,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[491,375]) ).
thf(1457,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[491,375]) ).
thf(1464,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[491,303]) ).
thf(1471,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[491,303]) ).
thf(1475,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[491,302]) ).
thf(1478,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[491,302]) ).
thf(1480,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[491,160]) ).
thf(1483,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[491,159]) ).
thf(1491,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[491,149]) ).
thf(1498,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[491,84]) ).
thf(1503,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[491,81]) ).
thf(1511,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[491,70]) ).
thf(1521,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[491,50]) ).
thf(1522,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[491,50]) ).
thf(1539,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1522]) ).
thf(1541,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1521]) ).
thf(1544,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1511]) ).
thf(1545,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1503]) ).
thf(1546,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1498]) ).
thf(1547,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[1491]) ).
thf(1549,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1483]) ).
thf(1550,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1480]) ).
thf(1551,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1478]) ).
thf(1552,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[1475]) ).
thf(1554,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1471]) ).
thf(1558,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1464]) ).
thf(1560,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1457]) ).
thf(1564,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1450]) ).
thf(1566,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1448]) ).
thf(1567,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1539]) ).
thf(1568,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1547]) ).
thf(1569,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1549]) ).
thf(1570,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1550]) ).
thf(1571,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1552]) ).
thf(1572,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1554]) ).
thf(1573,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1558]) ).
thf(1574,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1560]) ).
thf(1575,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1564]) ).
thf(1576,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[1566]) ).
thf(1592,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[492,491]) ).
thf(1600,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[492,485]) ).
thf(1603,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[492,419]) ).
thf(1607,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[492,375]) ).
thf(1612,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[492,375]) ).
thf(1620,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[492,336]) ).
thf(1622,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[492,336]) ).
thf(1623,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[492,303]) ).
thf(1628,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[492,303]) ).
thf(1635,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[492,160]) ).
thf(1642,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[492,150]) ).
thf(1654,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[492,83]) ).
thf(1657,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[492,81]) ).
thf(1665,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[492,70]) ).
thf(1670,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[492,69]) ).
thf(1677,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[492,50]) ).
thf(1678,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[492,50]) ).
thf(1689,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1678]) ).
thf(1691,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1677]) ).
thf(1694,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1670]) ).
thf(1695,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1665]) ).
thf(1696,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1657]) ).
thf(1697,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1654]) ).
thf(1699,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1642]) ).
thf(1700,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1635]) ).
thf(1703,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1628]) ).
thf(1707,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1623]) ).
thf(1709,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1622]) ).
thf(1711,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1620]) ).
thf(1712,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1612]) ).
thf(1716,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1607]) ).
thf(1718,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1603]) ).
thf(1720,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1600]) ).
thf(1721,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1592]) ).
thf(1723,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1689]) ).
thf(1724,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1694]) ).
thf(1725,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1695]) ).
thf(1726,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1697]) ).
thf(1727,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1703]) ).
thf(1728,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1707]) ).
thf(1729,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1709]) ).
thf(1730,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1712]) ).
thf(1731,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1716]) ).
thf(1732,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[1718]) ).
thf(1733,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[1720]) ).
thf(1734,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1721]) ).
thf(1735,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[494,494]) ).
thf(1738,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[494,494]) ).
thf(1747,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[494,492]) ).
thf(1752,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[494,492]) ).
thf(1756,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[494,492]) ).
thf(1757,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[494,491]) ).
thf(1762,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[494,491]) ).
thf(1771,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[494,485]) ).
thf(1778,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[494,419]) ).
thf(1781,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[494,375]) ).
thf(1787,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[494,375]) ).
thf(1790,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[494,341]) ).
thf(1794,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[494,341]) ).
thf(1811,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[494,302]) ).
thf(1814,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[494,302]) ).
thf(1818,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[494,160]) ).
thf(1821,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[494,159]) ).
thf(1833,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[494,149]) ).
thf(1839,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[494,84]) ).
thf(1843,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[494,83]) ).
thf(1846,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[494,81]) ).
thf(1850,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[494,72]) ).
thf(1856,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[494,70]) ).
thf(1869,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[494,50]) ).
thf(1876,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[494,49]) ).
thf(1886,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1876]) ).
thf(1891,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1869]) ).
thf(1894,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1856]) ).
thf(1895,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1850]) ).
thf(1896,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1846]) ).
thf(1897,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1843]) ).
thf(1898,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1839]) ).
thf(1900,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1833]) ).
thf(1903,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1821]) ).
thf(1905,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1818]) ).
thf(1906,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1814]) ).
thf(1909,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1811]) ).
thf(1917,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1794]) ).
thf(1918,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1790]) ).
thf(1920,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1787]) ).
thf(1921,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1781]) ).
thf(1927,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1778]) ).
thf(1930,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1771]) ).
thf(1932,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1762]) ).
thf(1937,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1757]) ).
thf(1939,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1756]) ).
thf(1940,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1752]) ).
thf(1945,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1747]) ).
thf(1946,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[1738]) ).
thf(1948,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1738]) ).
thf(1950,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1735]) ).
thf(1952,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[1735]) ).
thf(1954,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[1886]) ).
thf(1955,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[1891]) ).
thf(1956,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1895]) ).
thf(1957,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1896]) ).
thf(1958,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1898]) ).
thf(1959,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1903]) ).
thf(1960,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1906]) ).
thf(1961,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1909]) ).
thf(1962,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1917]) ).
thf(1963,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1918]) ).
thf(1964,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1920]) ).
thf(1965,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1921]) ).
thf(1966,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1927]) ).
thf(1967,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1930]) ).
thf(1968,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1932]) ).
thf(1969,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1937]) ).
thf(1970,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[1939]) ).
thf(1971,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1940]) ).
thf(1972,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1945]) ).
thf(1973,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1948]) ).
thf(1974,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1946]) ).
thf(1975,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1952]) ).
thf(1976,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1950]) ).
thf(1981,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[495,494]) ).
thf(1982,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[495,494]) ).
thf(1994,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[495,419]) ).
thf(1996,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[495,375]) ).
thf(2001,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[495,375]) ).
thf(2007,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[495,303]) ).
thf(2012,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[495,303]) ).
thf(2018,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[495,160]) ).
thf(2035,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[495,81]) ).
thf(2041,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[495,70]) ).
thf(2049,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[495,50]) ).
thf(2050,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[495,50]) ).
thf(2060,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2050]) ).
thf(2062,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[2049]) ).
thf(2063,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2041]) ).
thf(2064,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2035]) ).
thf(2065,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2018]) ).
thf(2066,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2012]) ).
thf(2070,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[2007]) ).
thf(2072,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2001]) ).
thf(2076,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1996]) ).
thf(2078,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1994]) ).
thf(2079,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[1982]) ).
thf(2084,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1981]) ).
thf(2085,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2060]) ).
thf(2086,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2066]) ).
thf(2087,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2070]) ).
thf(2088,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2072]) ).
thf(2089,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2076]) ).
thf(2090,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[2078]) ).
thf(2091,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2079]) ).
thf(2092,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2084]) ).
thf(2128,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[567,419]) ).
thf(2134,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[567,419]) ).
thf(2137,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[567,375]) ).
thf(2150,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[567,336]) ).
thf(2166,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[567,159]) ).
thf(2170,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[567,150]) ).
thf(2175,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[567,84]) ).
thf(2186,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( x = $false ) ),
inference(res,[status(thm)],[567,81]) ).
thf(2190,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( y = $true ) ),
inference(res,[status(thm)],[567,72]) ).
thf(2198,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[567,69]) ).
thf(2204,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[567,50]) ).
thf(2207,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[567,49]) ).
thf(2214,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2207]) ).
thf(2215,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2204]) ).
thf(2216,plain,
( ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2198]) ).
thf(2219,plain,
( ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2190]) ).
thf(2220,plain,
( ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2186]) ).
thf(2223,plain,
( ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2175]) ).
thf(2224,plain,
( ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2170]) ).
thf(2227,plain,
( ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2166]) ).
thf(2232,plain,
( ( ( g @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[2150]) ).
thf(2238,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2137]) ).
thf(2240,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2134]) ).
thf(2241,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2128]) ).
thf(2255,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2214]) ).
thf(2256,plain,
( ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2219]) ).
thf(2257,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2220]) ).
thf(2258,plain,
( ( ( g @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2232]) ).
thf(2259,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2238]) ).
thf(2260,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2240]) ).
thf(2261,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2241]) ).
thf(2302,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[573,419]) ).
thf(2309,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[573,419]) ).
thf(2312,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[573,375]) ).
thf(2314,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[573,341]) ).
thf(2321,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[573,341]) ).
thf(2325,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[573,336]) ).
thf(2328,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[573,336]) ).
thf(2336,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[573,160]) ).
thf(2341,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[573,159]) ).
thf(2344,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[573,150]) ).
thf(2356,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[573,83]) ).
thf(2365,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[573,72]) ).
thf(2373,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[573,69]) ).
thf(2381,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[573,49]) ).
thf(2382,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[573,49]) ).
thf(2389,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2382]) ).
thf(2390,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2381]) ).
thf(2393,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2373]) ).
thf(2396,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2365]) ).
thf(2397,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2356]) ).
thf(2399,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[2344]) ).
thf(2400,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2341]) ).
thf(2401,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2336]) ).
thf(2402,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2328]) ).
thf(2404,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[2325]) ).
thf(2406,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2321]) ).
thf(2410,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2314]) ).
thf(2411,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2312]) ).
thf(2413,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2309]) ).
thf(2417,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2302]) ).
thf(2437,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2389]) ).
thf(2438,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2399]) ).
thf(2439,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2400]) ).
thf(2440,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2401]) ).
thf(2441,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[2404]) ).
thf(2442,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2406]) ).
thf(2443,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2410]) ).
thf(2444,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[2411]) ).
thf(2445,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2413]) ).
thf(2446,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2417]) ).
thf(2462,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[574,573]) ).
thf(2470,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[574,567]) ).
thf(2495,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[574,419]) ).
thf(2500,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[574,419]) ).
thf(2503,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[574,375]) ).
thf(2507,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[574,341]) ).
thf(2512,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[574,341]) ).
thf(2524,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[574,302]) ).
thf(2526,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[574,302]) ).
thf(2533,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[574,159]) ).
thf(2540,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[574,149]) ).
thf(2546,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[574,84]) ).
thf(2557,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[574,72]) ).
thf(2562,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[574,70]) ).
thf(2565,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[574,69]) ).
thf(2573,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[574,49]) ).
thf(2574,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[574,49]) ).
thf(2586,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2574]) ).
thf(2587,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2573]) ).
thf(2588,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2565]) ).
thf(2589,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2562]) ).
thf(2590,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2557]) ).
thf(2592,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2546]) ).
thf(2593,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2540]) ).
thf(2594,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2533]) ).
thf(2598,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2526]) ).
thf(2599,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2524]) ).
thf(2601,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2512]) ).
thf(2605,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2507]) ).
thf(2606,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2503]) ).
thf(2608,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2500]) ).
thf(2612,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2495]) ).
thf(2628,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2470]) ).
thf(2631,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2462]) ).
thf(2632,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2586]) ).
thf(2633,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2588]) ).
thf(2634,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2589]) ).
thf(2635,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2592]) ).
thf(2636,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[2598]) ).
thf(2637,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2601]) ).
thf(2638,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2605]) ).
thf(2639,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[2606]) ).
thf(2640,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2608]) ).
thf(2641,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2612]) ).
thf(2642,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[2628]) ).
thf(2643,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[2631]) ).
thf(2644,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[584,584]) ).
thf(2647,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[584,584]) ).
thf(2656,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[584,574]) ).
thf(2661,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[584,574]) ).
thf(2665,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[584,574]) ).
thf(2666,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[584,573]) ).
thf(2671,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[584,573]) ).
thf(2680,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[584,567]) ).
thf(2716,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[584,419]) ).
thf(2722,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[584,419]) ).
thf(2728,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[584,375]) ).
thf(2742,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[584,336]) ).
thf(2745,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[584,336]) ).
thf(2746,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[584,303]) ).
thf(2750,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[584,303]) ).
thf(2758,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[584,160]) ).
thf(2765,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[584,159]) ).
thf(2770,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[584,150]) ).
thf(2777,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[584,84]) ).
thf(2783,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[584,83]) ).
thf(2790,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[584,81]) ).
thf(2795,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[584,72]) ).
thf(2805,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[584,69]) ).
thf(2811,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[584,50]) ).
thf(2814,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[584,49]) ).
thf(2825,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2814]) ).
thf(2830,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[2811]) ).
thf(2831,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2805]) ).
thf(2834,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2795]) ).
thf(2835,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2790]) ).
thf(2837,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2783]) ).
thf(2838,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2777]) ).
thf(2839,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2770]) ).
thf(2842,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2765]) ).
thf(2844,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2758]) ).
thf(2847,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2750]) ).
thf(2850,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2746]) ).
thf(2852,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2745]) ).
thf(2853,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[2742]) ).
thf(2863,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2728]) ).
thf(2866,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2722]) ).
thf(2868,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2716]) ).
thf(2884,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2680]) ).
thf(2886,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2671]) ).
thf(2889,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2666]) ).
thf(2891,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[2665]) ).
thf(2894,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2661]) ).
thf(2897,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2656]) ).
thf(2900,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2647]) ).
thf(2902,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2647]) ).
thf(2904,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2644]) ).
thf(2906,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2644]) ).
thf(2907,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[2825]) ).
thf(2908,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[2830]) ).
thf(2909,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2834]) ).
thf(2910,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2835]) ).
thf(2911,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2837]) ).
thf(2912,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2844]) ).
thf(2913,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2847]) ).
thf(2914,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2850]) ).
thf(2915,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2852]) ).
thf(2916,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2853]) ).
thf(2917,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2863]) ).
thf(2918,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2866]) ).
thf(2919,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2868]) ).
thf(2920,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2884]) ).
thf(2921,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2886]) ).
thf(2922,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2889]) ).
thf(2923,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[2891]) ).
thf(2924,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2894]) ).
thf(2925,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2897]) ).
thf(2926,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2902]) ).
thf(2927,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2900]) ).
thf(2928,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2906]) ).
thf(2929,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2904]) ).
thf(2934,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[586,584]) ).
thf(2935,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[586,584]) ).
thf(2966,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[586,419]) ).
thf(2971,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[586,419]) ).
thf(2973,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[586,375]) ).
thf(2975,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[586,341]) ).
thf(2980,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[586,341]) ).
thf(2995,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[586,159]) ).
thf(3013,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[586,72]) ).
thf(3019,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[586,69]) ).
thf(3025,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[586,49]) ).
thf(3026,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[586,49]) ).
thf(3032,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3026]) ).
thf(3033,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3025]) ).
thf(3034,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[3019]) ).
thf(3035,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[3013]) ).
thf(3036,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2995]) ).
thf(3038,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2980]) ).
thf(3042,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2975]) ).
thf(3043,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2973]) ).
thf(3045,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2971]) ).
thf(3049,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2966]) ).
thf(3066,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2935]) ).
thf(3069,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2934]) ).
thf(3071,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3032]) ).
thf(3072,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3038]) ).
thf(3073,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3042]) ).
thf(3074,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[3043]) ).
thf(3075,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3045]) ).
thf(3076,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3049]) ).
thf(3077,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3066]) ).
thf(3078,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3069]) ).
thf(3086,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[667,586]) ).
thf(3089,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[667,586]) ).
thf(3102,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[667,584]) ).
thf(3115,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[667,495]) ).
thf(3146,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[667,341]) ).
thf(3151,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[667,303]) ).
thf(3157,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[667,303]) ).
thf(3164,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[667,302]) ).
thf(3170,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[667,159]) ).
thf(3174,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[667,150]) ).
thf(3181,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[667,84]) ).
thf(3190,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( x = $false ) ),
inference(res,[status(thm)],[667,81]) ).
thf(3194,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( y = $true ) ),
inference(res,[status(thm)],[667,72]) ).
thf(3202,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[667,69]) ).
thf(3208,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[667,50]) ).
thf(3213,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[667,49]) ).
thf(3223,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3213]) ).
thf(3225,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3208]) ).
thf(3226,plain,
( ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3202]) ).
thf(3229,plain,
( ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3194]) ).
thf(3230,plain,
( ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3190]) ).
thf(3233,plain,
( ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3181]) ).
thf(3236,plain,
( ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3174]) ).
thf(3237,plain,
( ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3170]) ).
thf(3241,plain,
( ( ( g @ y )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3164]) ).
thf(3245,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3157]) ).
thf(3246,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3151]) ).
thf(3247,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3146]) ).
thf(3258,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3115]) ).
thf(3261,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3102]) ).
thf(3264,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3089]) ).
thf(3266,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3086]) ).
thf(3267,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3225]) ).
thf(3268,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3229]) ).
thf(3269,plain,
( ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3230]) ).
thf(3270,plain,
( ( ( g @ y )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3241]) ).
thf(3271,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3245]) ).
thf(3272,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3246]) ).
thf(3273,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3247]) ).
thf(3274,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3258]) ).
thf(3275,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3261]) ).
thf(3276,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3264]) ).
thf(3277,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3266]) ).
thf(3291,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[670,586]) ).
thf(3293,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[670,586]) ).
thf(3298,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[670,584]) ).
thf(3299,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[670,584]) ).
thf(3312,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[670,567]) ).
thf(3313,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[670,567]) ).
thf(3330,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[670,494]) ).
thf(3335,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[670,485]) ).
thf(3341,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[670,375]) ).
thf(3348,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[670,375]) ).
thf(3351,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[670,341]) ).
thf(3355,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[670,303]) ).
thf(3362,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[670,303]) ).
thf(3366,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[670,302]) ).
thf(3369,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[670,302]) ).
thf(3374,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[670,159]) ).
thf(3379,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[670,150]) ).
thf(3382,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[670,149]) ).
thf(3386,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[670,84]) ).
thf(3395,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[670,81]) ).
thf(3405,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[670,70]) ).
thf(3412,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[670,50]) ).
thf(3413,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[670,50]) ).
thf(3430,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3413]) ).
thf(3431,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3413]) ).
thf(3432,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3412]) ).
thf(3433,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3405]) ).
thf(3434,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3395]) ).
thf(3437,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3386]) ).
thf(3438,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3382]) ).
thf(3439,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3379]) ).
thf(3440,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3374]) ).
thf(3442,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3369]) ).
thf(3444,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3366]) ).
thf(3445,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3362]) ).
thf(3446,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3362]) ).
thf(3449,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3355]) ).
thf(3450,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3355]) ).
thf(3451,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3351]) ).
thf(3452,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3348]) ).
thf(3456,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3341]) ).
thf(3458,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3335]) ).
thf(3459,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3330]) ).
thf(3468,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3313]) ).
thf(3470,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3312]) ).
thf(3474,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3299]) ).
thf(3475,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3298]) ).
thf(3478,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3293]) ).
thf(3480,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3291]) ).
thf(3482,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3438]) ).
thf(3483,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3439]) ).
thf(3484,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3440]) ).
thf(3485,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[3442]) ).
thf(3486,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3446]) ).
thf(3487,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3445]) ).
thf(3488,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[3450]) ).
thf(3489,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[3449]) ).
thf(3490,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3451]) ).
thf(3491,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3452]) ).
thf(3492,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3456]) ).
thf(3493,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3458]) ).
thf(3494,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3459]) ).
thf(3495,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3468]) ).
thf(3496,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3470]) ).
thf(3497,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3474]) ).
thf(3498,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3475]) ).
thf(3499,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3478]) ).
thf(3500,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3480]) ).
thf(3516,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[675,670]) ).
thf(3524,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(res,[status(thm)],[675,667]) ).
thf(3526,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[675,586]) ).
thf(3527,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[675,586]) ).
thf(3533,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[675,584]) ).
thf(3534,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[675,584]) ).
thf(3545,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[675,567]) ).
thf(3546,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[675,567]) ).
thf(3561,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[675,494]) ).
thf(3567,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[675,485]) ).
thf(3579,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[675,375]) ).
thf(3584,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[675,375]) ).
thf(3587,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[675,341]) ).
thf(3592,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[675,336]) ).
thf(3594,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[675,336]) ).
thf(3595,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[675,303]) ).
thf(3600,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[675,303]) ).
thf(3606,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[675,160]) ).
thf(3615,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[675,150]) ).
thf(3621,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[675,84]) ).
thf(3626,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[675,83]) ).
thf(3631,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[675,81]) ).
thf(3642,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[675,69]) ).
thf(3649,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[675,50]) ).
thf(3650,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[675,50]) ).
thf(3661,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3650]) ).
thf(3662,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3650]) ).
thf(3663,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3649]) ).
thf(3666,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3642]) ).
thf(3668,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3631]) ).
thf(3669,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3626]) ).
thf(3670,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3621]) ).
thf(3671,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3615]) ).
thf(3674,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3606]) ).
thf(3675,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3600]) ).
thf(3676,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3600]) ).
thf(3679,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3595]) ).
thf(3680,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3595]) ).
thf(3681,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3594]) ).
thf(3682,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3592]) ).
thf(3684,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3587]) ).
thf(3685,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3584]) ).
thf(3689,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3579]) ).
thf(3693,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3567]) ).
thf(3696,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3561]) ).
thf(3703,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3546]) ).
thf(3705,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3545]) ).
thf(3707,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3534]) ).
thf(3708,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3533]) ).
thf(3711,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3527]) ).
thf(3713,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3526]) ).
thf(3716,plain,
( ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3524]) ).
thf(3717,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3516]) ).
thf(3719,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3666]) ).
thf(3720,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3669]) ).
thf(3721,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3670]) ).
thf(3722,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3676]) ).
thf(3723,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3675]) ).
thf(3724,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[3680]) ).
thf(3725,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[3679]) ).
thf(3726,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[3682]) ).
thf(3727,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3684]) ).
thf(3728,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3685]) ).
thf(3729,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3689]) ).
thf(3730,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3693]) ).
thf(3731,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3696]) ).
thf(3732,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3703]) ).
thf(3733,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3705]) ).
thf(3734,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3707]) ).
thf(3735,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3708]) ).
thf(3736,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3711]) ).
thf(3737,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3713]) ).
thf(3738,plain,
( ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[3716]) ).
thf(3739,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[3717]) ).
thf(3757,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[684,675]) ).
thf(3772,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[684,586]) ).
thf(3773,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[684,586]) ).
thf(3777,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[684,586]) ).
thf(3807,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[684,567]) ).
thf(3812,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[684,495]) ).
thf(3848,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[684,341]) ).
thf(3853,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[684,303]) ).
thf(3860,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[684,303]) ).
thf(3861,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[684,303]) ).
thf(3867,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[684,302]) ).
thf(3871,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[684,302]) ).
thf(3880,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[684,159]) ).
thf(3883,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[684,150]) ).
thf(3887,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[684,149]) ).
thf(3892,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[684,84]) ).
thf(3903,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[684,81]) ).
thf(3910,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[684,72]) ).
thf(3916,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[684,70]) ).
thf(3920,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[684,69]) ).
thf(3924,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[684,50]) ).
thf(3925,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[684,50]) ).
thf(3932,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[684,49]) ).
thf(3945,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3932]) ).
thf(3946,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3925]) ).
thf(3948,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3924]) ).
thf(3949,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3924]) ).
thf(3950,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3924]) ).
thf(3951,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3920]) ).
thf(3952,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3916]) ).
thf(3954,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3910]) ).
thf(3955,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3903]) ).
thf(3958,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3892]) ).
thf(3959,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3887]) ).
thf(3961,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3883]) ).
thf(3962,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3880]) ).
thf(3966,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3871]) ).
thf(3967,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3867]) ).
thf(3969,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3861]) ).
thf(3972,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3860]) ).
thf(3975,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3853]) ).
thf(3978,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3848]) ).
thf(3998,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3812]) ).
thf(3999,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3807]) ).
thf(4011,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3777]) ).
thf(4014,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3773]) ).
thf(4017,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[3772]) ).
thf(4020,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3757]) ).
thf(4021,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[3945]) ).
thf(4022,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[3946]) ).
thf(4023,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3950]) ).
thf(4024,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3949]) ).
thf(4025,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3948]) ).
thf(4026,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[3952]) ).
thf(4027,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3954]) ).
thf(4028,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3955]) ).
thf(4029,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[3959]) ).
thf(4030,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3966]) ).
thf(4031,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[3967]) ).
thf(4032,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3969]) ).
thf(4033,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3972]) ).
thf(4034,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3975]) ).
thf(4035,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3978]) ).
thf(4036,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3998]) ).
thf(4037,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[3999]) ).
thf(4038,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4011]) ).
thf(4039,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4014]) ).
thf(4040,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4017]) ).
thf(4041,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4020]) ).
thf(4058,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[685,586]) ).
thf(4059,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[685,586]) ).
thf(4063,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[685,584]) ).
thf(4064,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[685,584]) ).
thf(4073,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[685,567]) ).
thf(4074,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[685,567]) ).
thf(4086,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[685,494]) ).
thf(4090,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[685,485]) ).
thf(4096,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[685,375]) ).
thf(4101,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[685,375]) ).
thf(4103,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[685,341]) ).
thf(4107,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[685,303]) ).
thf(4112,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[685,303]) ).
thf(4124,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[685,150]) ).
thf(4129,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[685,84]) ).
thf(4136,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[685,81]) ).
thf(4149,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[685,50]) ).
thf(4150,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[685,50]) ).
thf(4160,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4150]) ).
thf(4161,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4150]) ).
thf(4162,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4149]) ).
thf(4163,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4136]) ).
thf(4164,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4129]) ).
thf(4165,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4124]) ).
thf(4166,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4112]) ).
thf(4167,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4112]) ).
thf(4170,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[4107]) ).
thf(4171,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4107]) ).
thf(4172,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4103]) ).
thf(4173,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4101]) ).
thf(4177,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[4096]) ).
thf(4179,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4090]) ).
thf(4180,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4086]) ).
thf(4187,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4074]) ).
thf(4189,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4073]) ).
thf(4191,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4064]) ).
thf(4192,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4063]) ).
thf(4195,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4059]) ).
thf(4197,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4058]) ).
thf(4199,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4167]) ).
thf(4200,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4166]) ).
thf(4201,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4171]) ).
thf(4202,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[4170]) ).
thf(4203,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4172]) ).
thf(4204,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4173]) ).
thf(4205,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4177]) ).
thf(4206,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4179]) ).
thf(4207,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4180]) ).
thf(4208,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4187]) ).
thf(4209,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4189]) ).
thf(4210,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4191]) ).
thf(4211,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4192]) ).
thf(4212,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4195]) ).
thf(4213,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4197]) ).
thf(4217,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[687,687]) ).
thf(4224,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[687,687]) ).
thf(4227,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[687,685]) ).
thf(4229,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[687,685]) ).
thf(4234,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[687,684]) ).
thf(4236,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[687,684]) ).
thf(4250,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(res,[status(thm)],[687,667]) ).
thf(4253,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[687,586]) ).
thf(4254,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[687,586]) ).
thf(4257,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[687,586]) ).
thf(4264,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[687,584]) ).
thf(4280,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[687,567]) ).
thf(4314,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[687,419]) ).
thf(4318,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[687,419]) ).
thf(4339,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[687,303]) ).
thf(4344,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[687,303]) ).
thf(4345,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[687,303]) ).
thf(4362,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[687,159]) ).
thf(4365,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[687,150]) ).
thf(4373,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[687,84]) ).
thf(4385,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[687,81]) ).
thf(4392,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[687,72]) ).
thf(4402,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[687,69]) ).
thf(4407,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[687,50]) ).
thf(4408,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[687,50]) ).
thf(4411,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[687,49]) ).
thf(4425,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4411]) ).
thf(4426,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4408]) ).
thf(4429,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4407]) ).
thf(4431,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4402]) ).
thf(4432,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4392]) ).
thf(4433,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4385]) ).
thf(4434,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4373]) ).
thf(4435,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4365]) ).
thf(4436,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4362]) ).
thf(4437,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4345]) ).
thf(4440,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4344]) ).
thf(4443,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4339]) ).
thf(4461,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4318]) ).
thf(4462,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4314]) ).
thf(4480,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4280]) ).
thf(4483,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4264]) ).
thf(4491,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4257]) ).
thf(4494,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4254]) ).
thf(4497,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4253]) ).
thf(4499,plain,
( ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4250]) ).
thf(4501,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4236]) ).
thf(4503,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4234]) ).
thf(4504,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4229]) ).
thf(4506,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4227]) ).
thf(4508,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4224]) ).
thf(4512,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4217]) ).
thf(4515,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4425]) ).
thf(4516,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4429]) ).
thf(4517,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4432]) ).
thf(4518,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4433]) ).
thf(4519,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4437]) ).
thf(4520,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4440]) ).
thf(4521,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4443]) ).
thf(4522,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4461]) ).
thf(4523,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4462]) ).
thf(4524,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4480]) ).
thf(4525,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4483]) ).
thf(4526,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4491]) ).
thf(4527,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4494]) ).
thf(4528,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4497]) ).
thf(4529,plain,
( ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4499]) ).
thf(4530,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4501]) ).
thf(4531,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4503]) ).
thf(4532,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4504]) ).
thf(4533,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4506]) ).
thf(4534,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4508]) ).
thf(4535,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4512]) ).
thf(4536,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[688,688]) ).
thf(4538,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,688]) ).
thf(4540,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,688]) ).
thf(4541,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,688]) ).
thf(4560,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[688,685]) ).
thf(4562,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[688,685]) ).
thf(4567,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[688,684]) ).
thf(4569,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,684]) ).
thf(4583,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(res,[status(thm)],[688,667]) ).
thf(4588,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[688,586]) ).
thf(4590,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[688,586]) ).
thf(4591,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[688,586]) ).
thf(4595,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[688,584]) ).
thf(4597,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,584]) ).
thf(4598,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,584]) ).
thf(4613,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[688,567]) ).
thf(4614,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(res,[status(thm)],[688,567]) ).
thf(4647,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[688,419]) ).
thf(4651,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[688,419]) ).
thf(4672,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[688,303]) ).
thf(4673,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[688,303]) ).
thf(4679,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[688,303]) ).
thf(4696,plain,
( ( ( x = x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[688,159]) ).
thf(4700,plain,
( ( ( y = y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[688,150]) ).
thf(4708,plain,
( ( ( y = y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[688,84]) ).
thf(4720,plain,
( ( ( y = y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[688,81]) ).
thf(4726,plain,
( ( ( x = x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[688,72]) ).
thf(4736,plain,
( ( ( x = x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[688,69]) ).
thf(4741,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,50]) ).
thf(4742,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[688,50]) ).
thf(4744,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[688,49]) ).
thf(4758,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4744]) ).
thf(4760,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4742]) ).
thf(4762,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4741]) ).
thf(4764,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4741]) ).
thf(4765,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4736]) ).
thf(4766,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4726]) ).
thf(4767,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4720]) ).
thf(4768,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4708]) ).
thf(4769,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4700]) ).
thf(4770,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4696]) ).
thf(4772,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4679]) ).
thf(4777,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4673]) ).
thf(4779,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4672]) ).
thf(4794,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4651]) ).
thf(4796,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4647]) ).
thf(4811,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4614]) ).
thf(4813,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4613]) ).
thf(4815,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4598]) ).
thf(4817,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4597]) ).
thf(4819,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4597]) ).
thf(4821,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4595]) ).
thf(4823,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4595]) ).
thf(4824,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4591]) ).
thf(4826,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4590]) ).
thf(4828,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4588]) ).
thf(4834,plain,
( ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4583]) ).
thf(4835,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4569]) ).
thf(4837,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4567]) ).
thf(4839,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4567]) ).
thf(4841,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4562]) ).
thf(4842,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4560]) ).
thf(4852,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4541]) ).
thf(4854,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4540]) ).
thf(4856,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4540]) ).
thf(4858,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4538]) ).
thf(4860,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4536]) ).
thf(4862,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4536]) ).
thf(4863,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4760]) ).
thf(4864,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4764]) ).
thf(4865,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4762]) ).
thf(4866,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4766]) ).
thf(4867,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4767]) ).
thf(4868,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[4772]) ).
thf(4869,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4777]) ).
thf(4870,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4779]) ).
thf(4871,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4794]) ).
thf(4872,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4796]) ).
thf(4873,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4811]) ).
thf(4874,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4813]) ).
thf(4875,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4815]) ).
thf(4876,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4819]) ).
thf(4877,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4817]) ).
thf(4878,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4823]) ).
thf(4879,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4821]) ).
thf(4880,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4824]) ).
thf(4881,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4826]) ).
thf(4882,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(sim,[status(thm)],[4828]) ).
thf(4883,plain,
( ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4834]) ).
thf(4884,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4835]) ).
thf(4885,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4839]) ).
thf(4886,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4837]) ).
thf(4887,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4841]) ).
thf(4888,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4842]) ).
thf(4889,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4852]) ).
thf(4890,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4856]) ).
thf(4891,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4854]) ).
thf(4892,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4858]) ).
thf(4893,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4862]) ).
thf(4894,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4860]) ).
thf(4955,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[775,586]) ).
thf(4974,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[775,495]) ).
thf(4977,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[775,495]) ).
thf(4990,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[775,494]) ).
thf(5014,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[775,341]) ).
thf(5020,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[775,341]) ).
thf(5027,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[775,336]) ).
thf(5029,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[775,303]) ).
thf(5036,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[775,160]) ).
thf(5048,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[775,149]) ).
thf(5056,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[775,83]) ).
thf(5057,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( y = $false ) ),
inference(res,[status(thm)],[775,81]) ).
thf(5063,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( x = $true ) ),
inference(res,[status(thm)],[775,72]) ).
thf(5065,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[775,70]) ).
thf(5078,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[775,50]) ).
thf(5081,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[775,49]) ).
thf(5087,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5081]) ).
thf(5089,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5078]) ).
thf(5092,plain,
( ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5065]) ).
thf(5093,plain,
( ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5063]) ).
thf(5094,plain,
( ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5057]) ).
thf(5095,plain,
( ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5056]) ).
thf(5098,plain,
( ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5048]) ).
thf(5101,plain,
( ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5036]) ).
thf(5104,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5029]) ).
thf(5105,plain,
( ( ( g @ y )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5027]) ).
thf(5109,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5020]) ).
thf(5111,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5014]) ).
thf(5118,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4990]) ).
thf(5121,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4977]) ).
thf(5122,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4974]) ).
thf(5130,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4955]) ).
thf(5157,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5087]) ).
thf(5158,plain,
( ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5093]) ).
thf(5159,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5094]) ).
thf(5160,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5104]) ).
thf(5161,plain,
( ( ( g @ y )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5105]) ).
thf(5162,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5109]) ).
thf(5163,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5111]) ).
thf(5164,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5118]) ).
thf(5165,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5121]) ).
thf(5166,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5122]) ).
thf(5167,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5130]) ).
thf(5244,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[778,584]) ).
thf(5249,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[778,567]) ).
thf(5253,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[778,495]) ).
thf(5255,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[778,495]) ).
thf(5260,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[778,494]) ).
thf(5261,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[778,494]) ).
thf(5274,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[778,485]) ).
thf(5275,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[778,485]) ).
thf(5280,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[778,419]) ).
thf(5287,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[778,419]) ).
thf(5292,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[778,341]) ).
thf(5299,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[778,341]) ).
thf(5303,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[778,336]) ).
thf(5306,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[778,336]) ).
thf(5308,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[778,303]) ).
thf(5314,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[778,160]) ).
thf(5322,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[778,150]) ).
thf(5327,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[778,149]) ).
thf(5335,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[778,83]) ).
thf(5342,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[778,72]) ).
thf(5350,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[778,69]) ).
thf(5359,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[778,49]) ).
thf(5360,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[778,49]) ).
thf(5366,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5360]) ).
thf(5367,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5360]) ).
thf(5368,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5359]) ).
thf(5371,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5350]) ).
thf(5372,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5342]) ).
thf(5373,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5335]) ).
thf(5376,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5327]) ).
thf(5377,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5322]) ).
thf(5379,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5314]) ).
thf(5380,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5308]) ).
thf(5382,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5306]) ).
thf(5383,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5303]) ).
thf(5384,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5299]) ).
thf(5385,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5299]) ).
thf(5388,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5292]) ).
thf(5389,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5292]) ).
thf(5391,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5287]) ).
thf(5395,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5280]) ).
thf(5398,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5275]) ).
thf(5399,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5274]) ).
thf(5403,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5261]) ).
thf(5405,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5260]) ).
thf(5407,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5255]) ).
thf(5409,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5253]) ).
thf(5412,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5249]) ).
thf(5413,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5244]) ).
thf(5465,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5376]) ).
thf(5466,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5377]) ).
thf(5467,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5379]) ).
thf(5468,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5380]) ).
thf(5469,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[5382]) ).
thf(5470,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5385]) ).
thf(5471,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5384]) ).
thf(5472,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[5389]) ).
thf(5473,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[5388]) ).
thf(5474,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5391]) ).
thf(5475,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5395]) ).
thf(5476,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5398]) ).
thf(5477,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5399]) ).
thf(5478,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5403]) ).
thf(5479,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5405]) ).
thf(5480,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5407]) ).
thf(5481,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5409]) ).
thf(5482,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5412]) ).
thf(5483,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5413]) ).
thf(5499,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[783,778]) ).
thf(5507,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(res,[status(thm)],[783,775]) ).
thf(5564,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[783,584]) ).
thf(5570,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[783,567]) ).
thf(5577,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[783,495]) ).
thf(5578,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[783,495]) ).
thf(5584,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[783,494]) ).
thf(5585,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[783,494]) ).
thf(5596,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[783,485]) ).
thf(5597,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[783,485]) ).
thf(5600,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[783,419]) ).
thf(5605,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[783,419]) ).
thf(5612,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[783,341]) ).
thf(5617,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[783,341]) ).
thf(5624,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[783,303]) ).
thf(5629,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[783,302]) ).
thf(5631,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[783,302]) ).
thf(5637,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[783,159]) ).
thf(5646,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[783,149]) ).
thf(5651,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[783,84]) ).
thf(5654,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[783,83]) ).
thf(5660,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[783,72]) ).
thf(5667,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[783,70]) ).
thf(5678,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[783,49]) ).
thf(5679,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[783,49]) ).
thf(5690,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5679]) ).
thf(5691,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5679]) ).
thf(5692,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5678]) ).
thf(5694,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[5667]) ).
thf(5695,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5660]) ).
thf(5696,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5654]) ).
thf(5697,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5651]) ).
thf(5698,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5646]) ).
thf(5701,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5637]) ).
thf(5702,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5631]) ).
thf(5704,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[5629]) ).
thf(5705,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5624]) ).
thf(5706,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5617]) ).
thf(5707,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5617]) ).
thf(5710,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5612]) ).
thf(5711,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5612]) ).
thf(5713,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5605]) ).
thf(5717,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5600]) ).
thf(5718,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5597]) ).
thf(5719,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5596]) ).
thf(5721,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5585]) ).
thf(5723,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5584]) ).
thf(5725,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5578]) ).
thf(5727,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5577]) ).
thf(5732,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5570]) ).
thf(5735,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5564]) ).
thf(5783,plain,
( ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5507]) ).
thf(5786,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[5499]) ).
thf(5787,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5694]) ).
thf(5788,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5696]) ).
thf(5789,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5697]) ).
thf(5790,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[5704]) ).
thf(5791,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5705]) ).
thf(5792,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5707]) ).
thf(5793,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5706]) ).
thf(5794,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[5711]) ).
thf(5795,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[5710]) ).
thf(5796,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5713]) ).
thf(5797,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5717]) ).
thf(5798,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5718]) ).
thf(5799,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5719]) ).
thf(5800,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5721]) ).
thf(5801,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5723]) ).
thf(5802,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5725]) ).
thf(5803,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5727]) ).
thf(5804,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5732]) ).
thf(5805,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5735]) ).
thf(5806,plain,
( ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[5783]) ).
thf(5807,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[5786]) ).
thf(5825,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[800,783]) ).
thf(5911,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[800,586]) ).
thf(5931,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[800,495]) ).
thf(5932,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[800,495]) ).
thf(5936,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[800,495]) ).
thf(5966,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[800,485]) ).
thf(5983,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[800,341]) ).
thf(5990,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[800,341]) ).
thf(5991,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[800,341]) ).
thf(5997,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[800,336]) ).
thf(6001,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[800,336]) ).
thf(6003,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[800,303]) ).
thf(6013,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[800,160]) ).
thf(6020,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[800,150]) ).
thf(6026,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[800,149]) ).
thf(6036,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[800,83]) ).
thf(6039,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[800,81]) ).
thf(6045,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[800,72]) ).
thf(6049,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[800,70]) ).
thf(6055,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[800,69]) ).
thf(6064,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[800,50]) ).
thf(6066,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[800,49]) ).
thf(6067,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[800,49]) ).
thf(6074,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6067]) ).
thf(6075,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6066]) ).
thf(6077,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6066]) ).
thf(6078,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6066]) ).
thf(6079,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6064]) ).
thf(6081,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6055]) ).
thf(6082,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6049]) ).
thf(6083,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6045]) ).
thf(6084,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6039]) ).
thf(6085,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6036]) ).
thf(6088,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6026]) ).
thf(6090,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6020]) ).
thf(6091,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6013]) ).
thf(6094,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6003]) ).
thf(6095,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6001]) ).
thf(6098,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[5997]) ).
thf(6099,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5991]) ).
thf(6103,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5990]) ).
thf(6104,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5983]) ).
thf(6118,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5966]) ).
thf(6129,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5936]) ).
thf(6133,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5932]) ).
thf(6137,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[5931]) ).
thf(6147,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5911]) ).
thf(6201,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5825]) ).
thf(6203,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[6074]) ).
thf(6204,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6078]) ).
thf(6205,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6077]) ).
thf(6206,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6075]) ).
thf(6207,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[6079]) ).
thf(6208,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6081]) ).
thf(6209,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6083]) ).
thf(6210,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6084]) ).
thf(6211,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6090]) ).
thf(6212,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6094]) ).
thf(6213,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6095]) ).
thf(6214,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6098]) ).
thf(6215,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6099]) ).
thf(6216,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6103]) ).
thf(6217,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6104]) ).
thf(6218,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6118]) ).
thf(6219,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6129]) ).
thf(6220,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6133]) ).
thf(6221,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6137]) ).
thf(6222,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6147]) ).
thf(6223,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6201]) ).
thf(6285,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[802,584]) ).
thf(6289,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[802,567]) ).
thf(6293,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[802,495]) ).
thf(6294,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[802,495]) ).
thf(6298,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[802,494]) ).
thf(6299,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[802,494]) ).
thf(6308,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[802,485]) ).
thf(6309,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[802,485]) ).
thf(6312,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[802,419]) ).
thf(6317,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[802,419]) ).
thf(6321,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[802,341]) ).
thf(6326,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[802,341]) ).
thf(6332,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[802,303]) ).
thf(6347,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[802,149]) ).
thf(6353,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[802,83]) ).
thf(6358,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[802,72]) ).
thf(6371,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[802,49]) ).
thf(6372,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[802,49]) ).
thf(6377,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6372]) ).
thf(6378,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6372]) ).
thf(6379,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6371]) ).
thf(6380,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6358]) ).
thf(6381,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6353]) ).
thf(6382,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6347]) ).
thf(6383,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6332]) ).
thf(6384,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6326]) ).
thf(6385,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6326]) ).
thf(6388,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6321]) ).
thf(6389,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[6321]) ).
thf(6391,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6317]) ).
thf(6395,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[6312]) ).
thf(6396,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6309]) ).
thf(6397,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6308]) ).
thf(6399,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6299]) ).
thf(6401,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6298]) ).
thf(6403,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6294]) ).
thf(6405,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6293]) ).
thf(6408,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6289]) ).
thf(6409,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6285]) ).
thf(6457,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6383]) ).
thf(6458,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6385]) ).
thf(6459,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6384]) ).
thf(6460,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[6389]) ).
thf(6461,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6388]) ).
thf(6462,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6391]) ).
thf(6463,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6395]) ).
thf(6464,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6396]) ).
thf(6465,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6397]) ).
thf(6466,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6399]) ).
thf(6467,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6401]) ).
thf(6468,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6403]) ).
thf(6469,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6405]) ).
thf(6470,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6408]) ).
thf(6471,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6409]) ).
thf(6475,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[803,803]) ).
thf(6482,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[803,803]) ).
thf(6485,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[803,802]) ).
thf(6487,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[803,802]) ).
thf(6492,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[803,800]) ).
thf(6494,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[803,800]) ).
thf(6508,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(res,[status(thm)],[803,775]) ).
thf(6598,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[803,495]) ).
thf(6599,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[803,495]) ).
thf(6602,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[803,495]) ).
thf(6609,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[803,494]) ).
thf(6625,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(res,[status(thm)],[803,485]) ).
thf(6640,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[803,375]) ).
thf(6644,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[803,375]) ).
thf(6646,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[803,341]) ).
thf(6651,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[803,341]) ).
thf(6652,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[803,341]) ).
thf(6675,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[803,160]) ).
thf(6688,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[803,149]) ).
thf(6698,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[803,83]) ).
thf(6702,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[803,81]) ).
thf(6706,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[803,72]) ).
thf(6712,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[803,70]) ).
thf(6727,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[803,50]) ).
thf(6728,plain,
( ( ( ( f @ ( f @ x ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[803,49]) ).
thf(6729,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[803,49]) ).
thf(6739,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6729]) ).
thf(6743,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6728]) ).
thf(6744,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6727]) ).
thf(6746,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6712]) ).
thf(6747,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6706]) ).
thf(6748,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6702]) ).
thf(6749,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6698]) ).
thf(6750,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6688]) ).
thf(6751,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6675]) ).
thf(6756,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6652]) ).
thf(6760,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6651]) ).
thf(6761,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6646]) ).
thf(6765,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6644]) ).
thf(6767,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6640]) ).
thf(6778,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6625]) ).
thf(6782,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6609]) ).
thf(6789,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6602]) ).
thf(6793,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6599]) ).
thf(6797,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6598]) ).
thf(6868,plain,
( ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6508]) ).
thf(6869,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6494]) ).
thf(6871,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6492]) ).
thf(6873,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6487]) ).
thf(6874,plain,
( ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6485]) ).
thf(6876,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6482]) ).
thf(6880,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6475]) ).
thf(6884,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6743]) ).
thf(6885,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6744]) ).
thf(6886,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6747]) ).
thf(6887,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6748]) ).
thf(6888,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6756]) ).
thf(6889,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6760]) ).
thf(6890,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6761]) ).
thf(6891,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6765]) ).
thf(6892,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6767]) ).
thf(6893,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6778]) ).
thf(6894,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6782]) ).
thf(6895,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6789]) ).
thf(6896,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6793]) ).
thf(6897,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6797]) ).
thf(6898,plain,
( ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6868]) ).
thf(6899,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6869]) ).
thf(6900,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6871]) ).
thf(6901,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6873]) ).
thf(6902,plain,
( ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6874]) ).
thf(6903,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6876]) ).
thf(6904,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6880]) ).
thf(6905,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,6904,6903,6902,6901,6900,6899,6898,6897,6896,6895,6894,6893,6892,6891,6890,6889,6888,6887,6886,6885,6884,6751,6750,6749,6746,6739,6471,6470,6469,6468,6467,6466,6465,6464,6463,6462,6461,6460,6459,6458,6457,6382,6381,6380,6379,6378,6377,6223,6222,6221,6220,6219,6218,6217,6216,6215,6214,6213,6212,6211,6210,6209,6208,6207,6206,6205,6204,6203,6091,6088,6085,6082,5807,5806,5805,5804,5803,5802,5801,5800,5799,5798,5797,5796,5795,5794,5793,5792,5791,5790,5789,5788,5787,5702,5701,5698,5695,5692,5691,5690,5483,5482,5481,5480,5479,5478,5477,5476,5475,5474,5473,5472,5471,5470,5469,5468,5467,5466,5465,5383,5373,5372,5371,5368,5367,5366,5167,5166,5165,5164,5163,5162,5161,5160,5159,5158,5157,5101,5098,5095,5092,5089,4894,4893,4892,4891,4890,4889,4888,4887,4886,4885,4884,4883,4882,4881,4880,4879,4878,4877,4876,4875,4874,4873,4872,4871,4870,4869,4868,4867,4866,4865,4864,4863,4770,4769,4768,4765,4758,4535,4534,4533,4532,4531,4530,4529,4528,4527,4526,4525,4524,4523,4522,4521,4520,4519,4518,4517,4516,4515,4436,4435,4434,4431,4426,4213,4212,4211,4210,4209,4208,4207,4206,4205,4204,4203,4202,4201,4200,4199,4165,4164,4163,4162,4161,4160,4041,4040,4039,4038,4037,4036,4035,4034,4033,4032,4031,4030,4029,4028,4027,4026,4025,4024,4023,4022,4021,3962,3961,3958,3951,3739,3738,3737,3736,3735,3734,3733,3732,3731,3730,3729,3728,3727,3726,3725,3724,3723,3722,3721,3720,3719,3681,3674,3671,3668,3663,3662,3661,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3444,3437,3434,3433,3432,3431,3430,3277,3276,3275,3274,3273,3272,3271,3270,3269,3268,3267,3237,3236,3233,3226,3223,3078,3077,3076,3075,3074,3073,3072,3071,3036,3035,3034,3033,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2842,2839,2838,2831,2643,2642,2641,2640,2639,2638,2637,2636,2635,2634,2633,2632,2599,2594,2593,2590,2587,2446,2445,2444,2443,2442,2441,2440,2439,2438,2437,2402,2397,2396,2393,2390,2261,2260,2259,2258,2257,2256,2255,2227,2224,2223,2216,2215,2092,2091,2090,2089,2088,2087,2086,2085,2065,2064,2063,2062,1976,1975,1974,1973,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1962,1961,1960,1959,1958,1957,1956,1955,1954,1905,1900,1897,1894,1734,1733,1732,1731,1730,1729,1728,1727,1726,1725,1724,1723,1711,1700,1699,1696,1691,1576,1575,1574,1573,1572,1571,1570,1569,1568,1567,1551,1546,1545,1544,1541,1434,1433,1432,1431,1430,1429,1428,1415,1410,1407,1404,1399,1302,1301,1300,1286,1285,1284,1281,1211,1210,1209,1195,1194,1193,1190,1126,1125,1124,1109,1108,1107,1106,1105,1104,1031,1030,1029,1028,1027,1026,1024,1023,1022,1021,1017,1016,1011,1010,1007,1006,1005,1004,952,951,950,935,934,933,932,931,930,869,868,867,866,865,864,861,860,855,854,851,850,849,848,804,803,802,800,775,688,687,685,684,667,586,584,567,495,494,485,419,375,341,336,303,302,160,159,150,149,84,83,81,72,70,69,53,50,49,45,28]) ).
thf(6906,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[6905]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYO041^1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 06:53:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 1
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full).........................................................................................................................................
% 2.11/2.39
% 2.11/2.39 ********************************
% 2.11/2.39 * All subproblems solved! *
% 2.11/2.39 ********************************
% 2.11/2.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6905,loop_count:110,foatp_calls:13,translation:fof_full)
% 9.33/9.56
% 9.33/9.56 %**** Beginning of derivation protocol ****
% 9.33/9.56 % SZS output start CNFRefutation
% See solution above
% 9.33/9.57
% 9.33/9.57 %**** End of derivation protocol ****
% 9.33/9.57 %**** no. of clauses in derivation: 1607 ****
% 9.33/9.57 %**** clause counter: 6905 ****
% 9.33/9.57
% 9.33/9.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6905,loop_count:110,foatp_calls:13,translation:fof_full)
%------------------------------------------------------------------------------