TSTP Solution File: SYO041^2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO041^2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 17:31:37 EDT 2022
% Result : Theorem 2.18s 2.46s
% Output : CNFRefutation 10.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 1614 ( 38 unt; 5 typ; 0 def)
% Number of atoms : 37748 (9203 equ; 0 cnn)
% Maximal formula atoms : 10 ( 23 avg)
% Number of connectives : 17882 ( 149 ~;7042 |; 18 &;10673 @)
% ( 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,conjecture,
~ ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',3) ).
thf(2,negated_conjecture,
( ( ~ ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( x != y )
& ( ( g @ x )
= y )
& ( ( g @ y )
= x )
& ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ( ( f @ ( f @ ( f @ x ) ) )
!= ( g @ ( f @ x ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
| ( ( f @ ( f @ ( f @ x ) ) )
!= ( g @ ( f @ x ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
!= ( g @ ( f @ x ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
| ( ( g @ y )
!= x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ( f @ ( f @ ( f @ x ) ) )
| ( g @ ( f @ x ) ) )
| ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= ( g @ ( f @ x ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( ( ( g @ y )
!= x ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(18,plain,
( ( ( ~ ( ( f @ ( f @ ( f @ x ) ) )
| ( g @ ( f @ x ) ) ) )
= $true )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(19,plain,
( ( ~ ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ( g @ y )
= x )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
| ( g @ ( f @ x ) ) )
= $false )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( ( x != y ) )
| ( ( g @ x )
!= y ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( ( g @ y )
| x )
| ~ ( ~ ( g @ y )
| ~ x ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ( g @ y )
= x )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[20]) ).
thf(25,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( ~ ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(27,plain,
( ( ~ ( ( x != y ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(28,plain,
( ( ( ( g @ x )
!= y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(29,plain,
( ( ( ~ ( ( g @ y )
| x ) )
= $true )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(30,plain,
( ( ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ( ~ ( f @ ( f @ ( f @ x ) ) )
| ~ ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(32,plain,
( ( ( x != y ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(33,plain,
( ( ( g @ x )
= y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ( ( g @ y )
| x )
= $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(36,plain,
( ( ( ~ ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[30]) ).
thf(37,plain,
( ( ( ~ ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(39,plain,
( ( x = y )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(40,plain,
( ( ~ ( ( g @ x )
| y )
| ~ ( ~ ( g @ x )
| ~ y ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(41,plain,
( ( ( g @ x )
= y )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[33]) ).
thf(42,plain,
( ( ( g @ y )
= $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(43,plain,
( ( x = $false )
| ( ( ~ ( ~ ( g @ y )
| ~ x ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[34]) ).
thf(45,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(46,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(48,plain,
( ( ~ ( x
| y )
| ~ ( ~ x
| ~ y ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( x = y )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[39]) ).
thf(50,plain,
( ( ( ~ ( ( g @ x )
| y ) )
= $true )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(51,plain,
( ( ( ~ ( g @ y )
| ~ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[42]) ).
thf(52,plain,
( ( ( ~ ( g @ y )
| ~ x )
= $false )
| ( x = $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(53,plain,
( ( ~ ( x
| y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ~ ( ~ x
| ~ y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(55,plain,
( ( ( ( g @ x )
| y )
= $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(57,plain,
( ( ( ~ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
( ( ( ~ ( g @ y ) )
= $false )
| ( x = $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
( ( x
| y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(61,plain,
( ( ~ x
| ~ y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(62,plain,
( ( ( g @ x )
= $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(63,plain,
( ( y = $false )
| ( ( ~ ( ~ ( g @ x )
| ~ y ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
( ( x = $true )
| ( ( g @ y )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(66,plain,
( ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(68,plain,
( ( x = $true )
| ( y = $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(69,plain,
( ( ( ~ x )
= $true )
| ( ( ~ y )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(70,plain,
( ( ( ~ ( g @ x )
| ~ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(71,plain,
( ( ( ~ ( g @ x )
| ~ y )
= $false )
| ( y = $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(72,plain,
( ( x = $false )
| ( ( ~ y )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(74,plain,
( ( ( ~ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(75,plain,
( ( ( ~ ( g @ x ) )
= $false )
| ( y = $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(77,plain,
( ( y = $false )
| ( x = $false ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
( ( y = $true )
| ( ( g @ x )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(80,plain,
( ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(134,plain,
( ( ( x = y )
= ( ( g @ x )
= y ) )
= $false ),
inference(res,[status(thm)],[49,41]) ).
thf(135,plain,
( ( ( x = y )
= ( ( g @ y )
= x ) )
= $false ),
inference(res,[status(thm)],[49,24]) ).
thf(145,plain,
( ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[135]) ).
thf(146,plain,
( ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[135]) ).
thf(155,plain,
( ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[134]) ).
thf(156,plain,
( ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[134]) ).
thf(167,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[65,45]) ).
thf(172,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[167]) ).
thf(178,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[66,46]) ).
thf(185,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[178]) ).
thf(237,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[79,45]) ).
thf(242,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[237]) ).
thf(259,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[80,46]) ).
thf(266,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[259]) ).
thf(274,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[145,80]) ).
thf(287,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[145,46]) ).
thf(292,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[287]) ).
thf(298,plain,
( ( ( g @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[274]) ).
thf(299,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[292]) ).
thf(308,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[146,79]) ).
thf(319,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[146,45]) ).
thf(329,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[319]) ).
thf(332,plain,
( ( ( g @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[308]) ).
thf(337,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[329]) ).
thf(357,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[155,46]) ).
thf(362,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[357]) ).
thf(371,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[362]) ).
thf(395,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[156,45]) ).
thf(405,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[395]) ).
thf(415,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[405]) ).
thf(437,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[172,145]) ).
thf(445,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[172,79]) ).
thf(450,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[172,68]) ).
thf(465,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)],[172,46]) ).
thf(467,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)],[172,46]) ).
thf(481,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[467]) ).
thf(482,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[465]) ).
thf(485,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[450]) ).
thf(487,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[445]) ).
thf(488,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[437]) ).
thf(490,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[482]) ).
thf(491,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[485]) ).
thf(521,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[185,146]) ).
thf(526,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[185,80]) ).
thf(537,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[185,77]) ).
thf(556,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)],[185,45]) ).
thf(558,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)],[185,45]) ).
thf(563,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[558]) ).
thf(565,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[556]) ).
thf(568,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[537]) ).
thf(569,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[526]) ).
thf(570,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[521]) ).
thf(580,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[565]) ).
thf(582,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[568]) ).
thf(591,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)],[242,185]) ).
thf(596,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)],[242,185]) ).
thf(611,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[242,155]) ).
thf(635,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[242,68]) ).
thf(643,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[242,65]) ).
thf(647,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)],[242,46]) ).
thf(649,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)],[242,46]) ).
thf(663,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[649]) ).
thf(665,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[647]) ).
thf(666,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[643]) ).
thf(667,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[635]) ).
thf(671,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[611]) ).
thf(676,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)],[596]) ).
thf(678,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)],[591]) ).
thf(680,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[665]) ).
thf(681,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[667]) ).
thf(683,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[676]) ).
thf(684,plain,
( ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[678]) ).
thf(709,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)],[266,172]) ).
thf(714,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)],[266,172]) ).
thf(721,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[266,156]) ).
thf(742,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[266,77]) ).
thf(750,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[266,66]) ).
thf(764,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)],[266,45]) ).
thf(766,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)],[266,45]) ).
thf(771,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[766]) ).
thf(772,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[764]) ).
thf(774,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[750]) ).
thf(776,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[742]) ).
thf(779,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[721]) ).
thf(781,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)],[714]) ).
thf(783,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)],[709]) ).
thf(796,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[772]) ).
thf(798,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[776]) ).
thf(799,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[781]) ).
thf(800,plain,
( ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[783]) ).
thf(817,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[298,156]) ).
thf(818,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[298,156]) ).
thf(821,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[298,146]) ).
thf(822,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[298,146]) ).
thf(827,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[298,79]) ).
thf(828,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[298,79]) ).
thf(835,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[298,65]) ).
thf(836,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[298,65]) ).
thf(839,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[298,46]) ).
thf(840,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[298,46]) ).
thf(843,plain,
( ( ( g @ y )
= $true )
| ( ( ( g @ x )
= ( g @ y ) )
= $false ) ),
inference(fac_restr,[status(thm)],[298]) ).
thf(844,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[840]) ).
thf(845,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[840]) ).
thf(846,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[839]) ).
thf(847,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[839]) ).
thf(848,plain,
( ( x = $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[836]) ).
thf(850,plain,
( ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[835]) ).
thf(851,plain,
( ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[828]) ).
thf(852,plain,
( ( y = $true )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[827]) ).
thf(855,plain,
( ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[822]) ).
thf(856,plain,
( ( y = $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[821]) ).
thf(857,plain,
( ( x = $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[818]) ).
thf(859,plain,
( ( x = $false )
| ( ( g @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[817]) ).
thf(860,plain,
( ( x = $true )
| ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[843]) ).
thf(861,plain,
( ( x = $false )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[843]) ).
thf(862,plain,
( ( x = $true )
| ( ( g @ y )
= $true )
| ( y = $true ) ),
inference(sim,[status(thm)],[848]) ).
thf(863,plain,
( ( y = $true )
| ( ( g @ x )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[852]) ).
thf(864,plain,
( ( y = $false )
| ( ( g @ y )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[855]) ).
thf(865,plain,
( ( x = $false )
| ( ( g @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[859]) ).
thf(867,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)],[299,266]) ).
thf(871,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)],[299,242]) ).
thf(875,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)],[299,242]) ).
thf(897,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[299,146]) ).
thf(900,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[299,80]) ).
thf(909,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[299,77]) ).
thf(923,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[299,45]) ).
thf(925,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[299,45]) ).
thf(926,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[925]) ).
thf(927,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[923]) ).
thf(928,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[923]) ).
thf(929,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[909]) ).
thf(930,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[900]) ).
thf(931,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[897]) ).
thf(941,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)],[875]) ).
thf(943,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)],[871]) ).
thf(945,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[867]) ).
thf(946,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[941]) ).
thf(947,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[943]) ).
thf(948,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[945]) ).
thf(956,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[332,298]) ).
thf(957,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[332,298]) ).
thf(969,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[332,155]) ).
thf(970,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[332,155]) ).
thf(973,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[332,145]) ).
thf(974,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[332,145]) ).
thf(977,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[332,80]) ).
thf(978,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( g @ y )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[332,80]) ).
thf(985,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( g @ x )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[332,66]) ).
thf(986,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[332,66]) ).
thf(991,plain,
( ( ( ( g @ y )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[332,45]) ).
thf(992,plain,
( ( ( ( g @ x )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[332,45]) ).
thf(999,plain,
( ( ( g @ y )
= $false )
| ( ( ( g @ x )
= ( g @ y ) )
= $false ) ),
inference(fac_restr,[status(thm)],[332]) ).
thf(1000,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[992]) ).
thf(1001,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[992]) ).
thf(1002,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[991]) ).
thf(1003,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[991]) ).
thf(1005,plain,
( ( x = $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[986]) ).
thf(1006,plain,
( ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[985]) ).
thf(1007,plain,
( ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[978]) ).
thf(1009,plain,
( ( y = $false )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[977]) ).
thf(1010,plain,
( ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[974]) ).
thf(1012,plain,
( ( y = $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[973]) ).
thf(1013,plain,
( ( x = $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[970]) ).
thf(1014,plain,
( ( x = $true )
| ( ( g @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[969]) ).
thf(1017,plain,
( ( ( g @ y )
= $true )
| ( ( g @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[957]) ).
thf(1018,plain,
( ( ( g @ y )
= $true )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[957]) ).
thf(1019,plain,
( ( ( g @ x )
= $true )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[956]) ).
thf(1020,plain,
( ( ( g @ x )
= $true )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[956]) ).
thf(1022,plain,
( ( x = $true )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[999]) ).
thf(1023,plain,
( ( x = $false )
| ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[999]) ).
thf(1024,plain,
( ( x = $false )
| ( ( g @ y )
= $false )
| ( y = $false ) ),
inference(sim,[status(thm)],[1005]) ).
thf(1025,plain,
( ( y = $false )
| ( ( g @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[1009]) ).
thf(1026,plain,
( ( y = $true )
| ( ( g @ y )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[1010]) ).
thf(1027,plain,
( ( x = $true )
| ( ( g @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1014]) ).
thf(1045,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)],[337,266]) ).
thf(1049,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)],[337,266]) ).
thf(1053,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)],[337,242]) ).
thf(1065,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[337,145]) ).
thf(1071,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[337,79]) ).
thf(1074,plain,
( ( ( y = y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[337,68]) ).
thf(1085,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[337,46]) ).
thf(1087,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[337,46]) ).
thf(1100,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1087]) ).
thf(1101,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1085]) ).
thf(1102,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1085]) ).
thf(1103,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1074]) ).
thf(1104,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1071]) ).
thf(1105,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1065]) ).
thf(1106,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1053]) ).
thf(1108,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)],[1049]) ).
thf(1110,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)],[1045]) ).
thf(1120,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[1106]) ).
thf(1121,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1108]) ).
thf(1122,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1110]) ).
thf(1125,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[371,337]) ).
thf(1129,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[371,337]) ).
thf(1151,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[371,156]) ).
thf(1166,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[371,77]) ).
thf(1172,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[371,66]) ).
thf(1183,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[371,45]) ).
thf(1185,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[371,45]) ).
thf(1186,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1185]) ).
thf(1187,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1183]) ).
thf(1189,plain,
( ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1172]) ).
thf(1190,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1166]) ).
thf(1191,plain,
( ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(extuni,[status(esa)],[1151]) ).
thf(1200,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1129]) ).
thf(1202,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1125]) ).
thf(1205,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1187]) ).
thf(1206,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1200]) ).
thf(1207,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1202]) ).
thf(1219,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[415,299]) ).
thf(1223,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[415,299]) ).
thf(1236,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[415,155]) ).
thf(1254,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[415,68]) ).
thf(1260,plain,
( ( ( x = x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[415,65]) ).
thf(1262,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[415,46]) ).
thf(1264,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[415,46]) ).
thf(1277,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[1264]) ).
thf(1279,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1262]) ).
thf(1280,plain,
( ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1260]) ).
thf(1281,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1254]) ).
thf(1282,plain,
( ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(extuni,[status(esa)],[1236]) ).
thf(1285,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1223]) ).
thf(1287,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[1219]) ).
thf(1296,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1279]) ).
thf(1297,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1285]) ).
thf(1298,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1287]) ).
thf(1306,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)],[481,415]) ).
thf(1309,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)],[481,371]) ).
thf(1315,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)],[481,371]) ).
thf(1333,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[481,298]) ).
thf(1338,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[481,156]) ).
thf(1350,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[481,145]) ).
thf(1358,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[481,79]) ).
thf(1361,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( y = $false ) ),
inference(res,[status(thm)],[481,77]) ).
thf(1363,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( x = $true ) ),
inference(res,[status(thm)],[481,68]) ).
thf(1369,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[481,66]) ).
thf(1380,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[481,46]) ).
thf(1385,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[481,45]) ).
thf(1395,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1385]) ).
thf(1396,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1380]) ).
thf(1400,plain,
( ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1369]) ).
thf(1401,plain,
( ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1363]) ).
thf(1402,plain,
( ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1361]) ).
thf(1403,plain,
( ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1358]) ).
thf(1406,plain,
( ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1350]) ).
thf(1411,plain,
( ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1338]) ).
thf(1415,plain,
( ( ( g @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1333]) ).
thf(1420,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1315]) ).
thf(1422,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1309]) ).
thf(1423,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1306]) ).
thf(1424,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1396]) ).
thf(1425,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1401]) ).
thf(1426,plain,
( ( y = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1402]) ).
thf(1427,plain,
( ( ( g @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1415]) ).
thf(1428,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1420]) ).
thf(1429,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1422]) ).
thf(1430,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1423]) ).
thf(1444,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)],[487,415]) ).
thf(1446,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)],[487,371]) ).
thf(1453,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)],[487,371]) ).
thf(1460,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)],[487,299]) ).
thf(1467,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)],[487,299]) ).
thf(1471,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[487,298]) ).
thf(1474,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[487,298]) ).
thf(1476,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[487,156]) ).
thf(1479,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[487,155]) ).
thf(1487,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[487,145]) ).
thf(1494,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[487,80]) ).
thf(1499,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[487,77]) ).
thf(1507,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[487,66]) ).
thf(1517,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)],[487,46]) ).
thf(1518,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)],[487,46]) ).
thf(1535,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)],[1518]) ).
thf(1537,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1517]) ).
thf(1540,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1507]) ).
thf(1541,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1499]) ).
thf(1542,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1494]) ).
thf(1543,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[1487]) ).
thf(1545,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1479]) ).
thf(1546,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1476]) ).
thf(1547,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1474]) ).
thf(1548,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[1471]) ).
thf(1550,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)],[1467]) ).
thf(1554,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)],[1460]) ).
thf(1556,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)],[1453]) ).
thf(1560,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)],[1446]) ).
thf(1562,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[1444]) ).
thf(1563,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1535]) ).
thf(1564,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1543]) ).
thf(1565,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1545]) ).
thf(1566,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1546]) ).
thf(1567,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1548]) ).
thf(1568,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1550]) ).
thf(1569,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1554]) ).
thf(1570,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1556]) ).
thf(1571,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1560]) ).
thf(1572,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[1562]) ).
thf(1588,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)],[488,487]) ).
thf(1596,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)],[488,481]) ).
thf(1599,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)],[488,415]) ).
thf(1603,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)],[488,371]) ).
thf(1608,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)],[488,371]) ).
thf(1616,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[488,332]) ).
thf(1618,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[488,332]) ).
thf(1619,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)],[488,299]) ).
thf(1624,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)],[488,299]) ).
thf(1631,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[488,156]) ).
thf(1638,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[488,146]) ).
thf(1650,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[488,79]) ).
thf(1653,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[488,77]) ).
thf(1661,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[488,66]) ).
thf(1666,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[488,65]) ).
thf(1673,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)],[488,46]) ).
thf(1674,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)],[488,46]) ).
thf(1685,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)],[1674]) ).
thf(1687,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1673]) ).
thf(1690,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1666]) ).
thf(1691,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1661]) ).
thf(1692,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1653]) ).
thf(1693,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1650]) ).
thf(1695,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1638]) ).
thf(1696,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1631]) ).
thf(1699,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)],[1624]) ).
thf(1703,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)],[1619]) ).
thf(1705,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1618]) ).
thf(1707,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1616]) ).
thf(1708,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)],[1608]) ).
thf(1712,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)],[1603]) ).
thf(1714,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[1599]) ).
thf(1716,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)],[1596]) ).
thf(1717,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)],[1588]) ).
thf(1719,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1685]) ).
thf(1720,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1690]) ).
thf(1721,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1691]) ).
thf(1722,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1693]) ).
thf(1723,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1699]) ).
thf(1724,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1703]) ).
thf(1725,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1705]) ).
thf(1726,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1708]) ).
thf(1727,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[1712]) ).
thf(1728,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[1714]) ).
thf(1729,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[1716]) ).
thf(1730,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[1717]) ).
thf(1731,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)],[490,490]) ).
thf(1734,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)],[490,490]) ).
thf(1743,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)],[490,488]) ).
thf(1748,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)],[490,488]) ).
thf(1752,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)],[490,488]) ).
thf(1753,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)],[490,487]) ).
thf(1758,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)],[490,487]) ).
thf(1767,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)],[490,481]) ).
thf(1774,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)],[490,415]) ).
thf(1777,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)],[490,371]) ).
thf(1783,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)],[490,371]) ).
thf(1786,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)],[490,337]) ).
thf(1790,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)],[490,337]) ).
thf(1807,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)],[490,298]) ).
thf(1810,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)],[490,298]) ).
thf(1814,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)],[490,156]) ).
thf(1817,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)],[490,155]) ).
thf(1829,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)],[490,145]) ).
thf(1835,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)],[490,80]) ).
thf(1839,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)],[490,79]) ).
thf(1842,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)],[490,77]) ).
thf(1846,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)],[490,68]) ).
thf(1852,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)],[490,66]) ).
thf(1865,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)],[490,46]) ).
thf(1872,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)],[490,45]) ).
thf(1882,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[1872]) ).
thf(1887,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1865]) ).
thf(1890,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1852]) ).
thf(1891,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1846]) ).
thf(1892,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1842]) ).
thf(1893,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1839]) ).
thf(1894,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)],[1835]) ).
thf(1896,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1829]) ).
thf(1899,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)],[1817]) ).
thf(1901,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1814]) ).
thf(1902,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)],[1810]) ).
thf(1905,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)],[1807]) ).
thf(1913,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)],[1790]) ).
thf(1914,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)],[1786]) ).
thf(1916,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[1783]) ).
thf(1917,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)],[1777]) ).
thf(1923,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)],[1774]) ).
thf(1926,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)],[1767]) ).
thf(1928,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)],[1758]) ).
thf(1933,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)],[1753]) ).
thf(1935,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)],[1752]) ).
thf(1936,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)],[1748]) ).
thf(1941,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)],[1743]) ).
thf(1942,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)],[1734]) ).
thf(1944,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)],[1734]) ).
thf(1946,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)],[1731]) ).
thf(1948,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)],[1731]) ).
thf(1950,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[1882]) ).
thf(1951,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[1887]) ).
thf(1952,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1891]) ).
thf(1953,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1892]) ).
thf(1954,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1894]) ).
thf(1955,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1899]) ).
thf(1956,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1902]) ).
thf(1957,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[1905]) ).
thf(1958,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)],[1913]) ).
thf(1959,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1914]) ).
thf(1960,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1916]) ).
thf(1961,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1917]) ).
thf(1962,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[1923]) ).
thf(1963,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1926]) ).
thf(1964,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ x )
= $false )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1928]) ).
thf(1965,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)],[1933]) ).
thf(1966,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[1935]) ).
thf(1967,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ y )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[1936]) ).
thf(1968,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)],[1941]) ).
thf(1969,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)],[1944]) ).
thf(1970,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)],[1942]) ).
thf(1971,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)],[1948]) ).
thf(1972,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)],[1946]) ).
thf(1977,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)],[491,490]) ).
thf(1978,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)],[491,490]) ).
thf(1990,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[491,415]) ).
thf(1992,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[491,371]) ).
thf(1997,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[491,371]) ).
thf(2003,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[491,299]) ).
thf(2008,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[491,299]) ).
thf(2014,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[491,156]) ).
thf(2031,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[491,77]) ).
thf(2037,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[491,66]) ).
thf(2045,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[491,46]) ).
thf(2046,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[491,46]) ).
thf(2056,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2046]) ).
thf(2058,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[2045]) ).
thf(2059,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2037]) ).
thf(2060,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2031]) ).
thf(2061,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[2014]) ).
thf(2062,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2008]) ).
thf(2066,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[2003]) ).
thf(2068,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[1997]) ).
thf(2072,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[1992]) ).
thf(2074,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[1990]) ).
thf(2075,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)],[1978]) ).
thf(2080,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)],[1977]) ).
thf(2081,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2056]) ).
thf(2082,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2062]) ).
thf(2083,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2066]) ).
thf(2084,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2068]) ).
thf(2085,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2072]) ).
thf(2086,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[2074]) ).
thf(2087,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2075]) ).
thf(2088,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)],[2080]) ).
thf(2124,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)],[563,415]) ).
thf(2130,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)],[563,415]) ).
thf(2133,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)],[563,371]) ).
thf(2146,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[563,332]) ).
thf(2162,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[563,155]) ).
thf(2166,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[563,146]) ).
thf(2171,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[563,80]) ).
thf(2182,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( x = $false ) ),
inference(res,[status(thm)],[563,77]) ).
thf(2186,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( y = $true ) ),
inference(res,[status(thm)],[563,68]) ).
thf(2194,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[563,65]) ).
thf(2200,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[563,46]) ).
thf(2203,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[563,45]) ).
thf(2210,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2203]) ).
thf(2211,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2200]) ).
thf(2212,plain,
( ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2194]) ).
thf(2215,plain,
( ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2186]) ).
thf(2216,plain,
( ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2182]) ).
thf(2219,plain,
( ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2171]) ).
thf(2220,plain,
( ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2166]) ).
thf(2223,plain,
( ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2162]) ).
thf(2228,plain,
( ( ( g @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[2146]) ).
thf(2234,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2133]) ).
thf(2236,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2130]) ).
thf(2237,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2124]) ).
thf(2251,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2210]) ).
thf(2252,plain,
( ( y = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2215]) ).
thf(2253,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2216]) ).
thf(2254,plain,
( ( ( g @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2228]) ).
thf(2255,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2234]) ).
thf(2256,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2236]) ).
thf(2257,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2237]) ).
thf(2298,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)],[569,415]) ).
thf(2305,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)],[569,415]) ).
thf(2308,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)],[569,371]) ).
thf(2310,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)],[569,337]) ).
thf(2317,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)],[569,337]) ).
thf(2321,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[569,332]) ).
thf(2324,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[569,332]) ).
thf(2332,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[569,156]) ).
thf(2337,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[569,155]) ).
thf(2340,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[569,146]) ).
thf(2352,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[569,79]) ).
thf(2361,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[569,68]) ).
thf(2369,plain,
( ( ( x = x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[569,65]) ).
thf(2377,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)],[569,45]) ).
thf(2378,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)],[569,45]) ).
thf(2385,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)],[2378]) ).
thf(2386,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2377]) ).
thf(2389,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2369]) ).
thf(2392,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2361]) ).
thf(2393,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2352]) ).
thf(2395,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[2340]) ).
thf(2396,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2337]) ).
thf(2397,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2332]) ).
thf(2398,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2324]) ).
thf(2400,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[2321]) ).
thf(2402,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)],[2317]) ).
thf(2406,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)],[2310]) ).
thf(2407,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[2308]) ).
thf(2409,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)],[2305]) ).
thf(2413,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)],[2298]) ).
thf(2433,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2385]) ).
thf(2434,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2395]) ).
thf(2435,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2396]) ).
thf(2436,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2397]) ).
thf(2437,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[2400]) ).
thf(2438,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2402]) ).
thf(2439,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2406]) ).
thf(2440,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[2407]) ).
thf(2441,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2409]) ).
thf(2442,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2413]) ).
thf(2458,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)],[570,569]) ).
thf(2466,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)],[570,563]) ).
thf(2491,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)],[570,415]) ).
thf(2496,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)],[570,415]) ).
thf(2499,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)],[570,371]) ).
thf(2503,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)],[570,337]) ).
thf(2508,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)],[570,337]) ).
thf(2520,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[570,298]) ).
thf(2522,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[570,298]) ).
thf(2529,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[570,155]) ).
thf(2536,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[570,145]) ).
thf(2542,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[570,80]) ).
thf(2553,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[570,68]) ).
thf(2558,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[570,66]) ).
thf(2561,plain,
( ( ( x = x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[570,65]) ).
thf(2569,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)],[570,45]) ).
thf(2570,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)],[570,45]) ).
thf(2582,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)],[2570]) ).
thf(2583,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2569]) ).
thf(2584,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2561]) ).
thf(2585,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2558]) ).
thf(2586,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2553]) ).
thf(2588,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2542]) ).
thf(2589,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2536]) ).
thf(2590,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2529]) ).
thf(2594,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2522]) ).
thf(2595,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2520]) ).
thf(2597,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)],[2508]) ).
thf(2601,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)],[2503]) ).
thf(2602,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[2499]) ).
thf(2604,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)],[2496]) ).
thf(2608,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)],[2491]) ).
thf(2624,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)],[2466]) ).
thf(2627,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)],[2458]) ).
thf(2628,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2582]) ).
thf(2629,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2584]) ).
thf(2630,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2585]) ).
thf(2631,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2588]) ).
thf(2632,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[2594]) ).
thf(2633,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2597]) ).
thf(2634,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2601]) ).
thf(2635,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[2602]) ).
thf(2636,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2604]) ).
thf(2637,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[2608]) ).
thf(2638,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[2624]) ).
thf(2639,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[2627]) ).
thf(2640,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)],[580,580]) ).
thf(2643,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)],[580,580]) ).
thf(2652,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)],[580,570]) ).
thf(2657,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)],[580,570]) ).
thf(2661,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)],[580,570]) ).
thf(2662,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)],[580,569]) ).
thf(2667,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)],[580,569]) ).
thf(2676,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)],[580,563]) ).
thf(2712,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)],[580,415]) ).
thf(2718,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)],[580,415]) ).
thf(2724,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)],[580,371]) ).
thf(2738,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)],[580,332]) ).
thf(2741,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)],[580,332]) ).
thf(2742,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)],[580,299]) ).
thf(2746,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)],[580,299]) ).
thf(2754,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)],[580,156]) ).
thf(2761,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)],[580,155]) ).
thf(2766,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)],[580,146]) ).
thf(2773,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)],[580,80]) ).
thf(2779,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)],[580,79]) ).
thf(2786,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)],[580,77]) ).
thf(2791,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)],[580,68]) ).
thf(2801,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)],[580,65]) ).
thf(2807,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)],[580,46]) ).
thf(2810,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)],[580,45]) ).
thf(2821,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2810]) ).
thf(2826,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[2807]) ).
thf(2827,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2801]) ).
thf(2830,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2791]) ).
thf(2831,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2786]) ).
thf(2833,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)],[2779]) ).
thf(2834,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2773]) ).
thf(2835,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2766]) ).
thf(2838,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2761]) ).
thf(2840,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)],[2754]) ).
thf(2843,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)],[2746]) ).
thf(2846,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)],[2742]) ).
thf(2848,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)],[2741]) ).
thf(2849,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)],[2738]) ).
thf(2859,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)],[2724]) ).
thf(2862,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[2718]) ).
thf(2864,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)],[2712]) ).
thf(2880,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)],[2676]) ).
thf(2882,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)],[2667]) ).
thf(2885,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)],[2662]) ).
thf(2887,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)],[2661]) ).
thf(2890,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)],[2657]) ).
thf(2893,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)],[2652]) ).
thf(2896,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)],[2643]) ).
thf(2898,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)],[2643]) ).
thf(2900,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)],[2640]) ).
thf(2902,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)],[2640]) ).
thf(2903,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[2821]) ).
thf(2904,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[2826]) ).
thf(2905,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2830]) ).
thf(2906,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2831]) ).
thf(2907,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2833]) ).
thf(2908,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2840]) ).
thf(2909,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)],[2843]) ).
thf(2910,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2846]) ).
thf(2911,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2848]) ).
thf(2912,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[2849]) ).
thf(2913,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2859]) ).
thf(2914,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2862]) ).
thf(2915,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[2864]) ).
thf(2916,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2880]) ).
thf(2917,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ x )
= $true )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2882]) ).
thf(2918,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)],[2885]) ).
thf(2919,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[2887]) ).
thf(2920,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ y )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[2890]) ).
thf(2921,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)],[2893]) ).
thf(2922,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)],[2898]) ).
thf(2923,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)],[2896]) ).
thf(2924,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)],[2902]) ).
thf(2925,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)],[2900]) ).
thf(2930,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)],[582,580]) ).
thf(2931,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)],[582,580]) ).
thf(2962,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[582,415]) ).
thf(2967,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[582,415]) ).
thf(2969,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[582,371]) ).
thf(2971,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[582,337]) ).
thf(2976,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[582,337]) ).
thf(2991,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[582,155]) ).
thf(3009,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[582,68]) ).
thf(3015,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[582,65]) ).
thf(3021,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[582,45]) ).
thf(3022,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[582,45]) ).
thf(3028,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3022]) ).
thf(3029,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3021]) ).
thf(3030,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[3015]) ).
thf(3031,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[3009]) ).
thf(3032,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2991]) ).
thf(3034,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2976]) ).
thf(3038,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2971]) ).
thf(3039,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[2969]) ).
thf(3041,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[2967]) ).
thf(3045,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[2962]) ).
thf(3062,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)],[2931]) ).
thf(3065,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)],[2930]) ).
thf(3067,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3028]) ).
thf(3068,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3034]) ).
thf(3069,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3038]) ).
thf(3070,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[3039]) ).
thf(3071,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3041]) ).
thf(3072,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3045]) ).
thf(3073,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3062]) ).
thf(3074,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)],[3065]) ).
thf(3082,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)],[663,582]) ).
thf(3085,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)],[663,582]) ).
thf(3098,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)],[663,580]) ).
thf(3111,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)],[663,491]) ).
thf(3142,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)],[663,337]) ).
thf(3147,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)],[663,299]) ).
thf(3153,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)],[663,299]) ).
thf(3160,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[663,298]) ).
thf(3166,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[663,155]) ).
thf(3170,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[663,146]) ).
thf(3177,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[663,80]) ).
thf(3186,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( x = $false ) ),
inference(res,[status(thm)],[663,77]) ).
thf(3190,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( y = $true ) ),
inference(res,[status(thm)],[663,68]) ).
thf(3198,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[663,65]) ).
thf(3204,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[663,46]) ).
thf(3209,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[663,45]) ).
thf(3219,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3209]) ).
thf(3221,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3204]) ).
thf(3222,plain,
( ( ( g @ y )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3198]) ).
thf(3225,plain,
( ( y = $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3190]) ).
thf(3226,plain,
( ( x = $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3186]) ).
thf(3229,plain,
( ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3177]) ).
thf(3232,plain,
( ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3170]) ).
thf(3233,plain,
( ( ( g @ x )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3166]) ).
thf(3237,plain,
( ( ( g @ y )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3160]) ).
thf(3241,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3153]) ).
thf(3242,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3147]) ).
thf(3243,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3142]) ).
thf(3254,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3111]) ).
thf(3257,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)],[3098]) ).
thf(3260,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3085]) ).
thf(3262,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3082]) ).
thf(3263,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3221]) ).
thf(3264,plain,
( ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3225]) ).
thf(3265,plain,
( ( x = $false )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3226]) ).
thf(3266,plain,
( ( ( g @ y )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3237]) ).
thf(3267,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3241]) ).
thf(3268,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3242]) ).
thf(3269,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3243]) ).
thf(3270,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3254]) ).
thf(3271,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3257]) ).
thf(3272,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3260]) ).
thf(3273,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3262]) ).
thf(3287,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)],[666,582]) ).
thf(3289,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)],[666,582]) ).
thf(3294,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)],[666,580]) ).
thf(3295,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)],[666,580]) ).
thf(3308,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)],[666,563]) ).
thf(3309,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)],[666,563]) ).
thf(3326,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)],[666,490]) ).
thf(3331,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)],[666,481]) ).
thf(3337,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)],[666,371]) ).
thf(3344,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)],[666,371]) ).
thf(3347,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)],[666,337]) ).
thf(3351,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)],[666,299]) ).
thf(3358,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)],[666,299]) ).
thf(3362,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[666,298]) ).
thf(3365,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[666,298]) ).
thf(3370,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[666,155]) ).
thf(3375,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[666,146]) ).
thf(3378,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[666,145]) ).
thf(3382,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[666,80]) ).
thf(3391,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[666,77]) ).
thf(3401,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[666,66]) ).
thf(3408,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)],[666,46]) ).
thf(3409,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)],[666,46]) ).
thf(3426,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)],[3409]) ).
thf(3427,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)],[3409]) ).
thf(3428,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3408]) ).
thf(3429,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3401]) ).
thf(3430,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3391]) ).
thf(3433,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3382]) ).
thf(3434,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3378]) ).
thf(3435,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3375]) ).
thf(3436,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3370]) ).
thf(3438,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[3365]) ).
thf(3440,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3362]) ).
thf(3441,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)],[3358]) ).
thf(3442,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)],[3358]) ).
thf(3445,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)],[3351]) ).
thf(3446,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)],[3351]) ).
thf(3447,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3347]) ).
thf(3448,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)],[3344]) ).
thf(3452,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)],[3337]) ).
thf(3454,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)],[3331]) ).
thf(3455,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)],[3326]) ).
thf(3464,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false ) ),
inference(extuni,[status(esa)],[3309]) ).
thf(3466,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)],[3308]) ).
thf(3470,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)],[3295]) ).
thf(3471,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)],[3294]) ).
thf(3474,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)],[3289]) ).
thf(3476,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)],[3287]) ).
thf(3478,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3434]) ).
thf(3479,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3435]) ).
thf(3480,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3436]) ).
thf(3481,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[3438]) ).
thf(3482,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3442]) ).
thf(3483,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3441]) ).
thf(3484,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[3446]) ).
thf(3485,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[3445]) ).
thf(3486,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3447]) ).
thf(3487,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3448]) ).
thf(3488,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3452]) ).
thf(3489,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3454]) ).
thf(3490,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)],[3455]) ).
thf(3491,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3464]) ).
thf(3492,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3466]) ).
thf(3493,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)],[3470]) ).
thf(3494,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false ) ),
inference(sim,[status(thm)],[3471]) ).
thf(3495,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3474]) ).
thf(3496,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3476]) ).
thf(3512,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)],[671,666]) ).
thf(3520,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)],[671,663]) ).
thf(3522,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)],[671,582]) ).
thf(3523,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)],[671,582]) ).
thf(3529,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)],[671,580]) ).
thf(3530,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)],[671,580]) ).
thf(3541,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)],[671,563]) ).
thf(3542,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)],[671,563]) ).
thf(3557,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)],[671,490]) ).
thf(3563,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)],[671,481]) ).
thf(3575,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)],[671,371]) ).
thf(3580,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)],[671,371]) ).
thf(3583,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)],[671,337]) ).
thf(3588,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[671,332]) ).
thf(3590,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[671,332]) ).
thf(3591,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)],[671,299]) ).
thf(3596,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)],[671,299]) ).
thf(3602,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[671,156]) ).
thf(3611,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[671,146]) ).
thf(3617,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[671,80]) ).
thf(3622,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[671,79]) ).
thf(3627,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[671,77]) ).
thf(3638,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[671,65]) ).
thf(3645,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)],[671,46]) ).
thf(3646,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)],[671,46]) ).
thf(3657,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)],[3646]) ).
thf(3658,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)],[3646]) ).
thf(3659,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3645]) ).
thf(3662,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3638]) ).
thf(3664,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3627]) ).
thf(3665,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3622]) ).
thf(3666,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3617]) ).
thf(3667,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3611]) ).
thf(3670,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3602]) ).
thf(3671,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)],[3596]) ).
thf(3672,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)],[3596]) ).
thf(3675,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)],[3591]) ).
thf(3676,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)],[3591]) ).
thf(3677,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[3590]) ).
thf(3678,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[3588]) ).
thf(3680,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3583]) ).
thf(3681,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)],[3580]) ).
thf(3685,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)],[3575]) ).
thf(3689,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)],[3563]) ).
thf(3692,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)],[3557]) ).
thf(3699,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true ) ),
inference(extuni,[status(esa)],[3542]) ).
thf(3701,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)],[3541]) ).
thf(3703,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)],[3530]) ).
thf(3704,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)],[3529]) ).
thf(3707,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)],[3523]) ).
thf(3709,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)],[3522]) ).
thf(3712,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)],[3520]) ).
thf(3713,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)],[3512]) ).
thf(3715,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3662]) ).
thf(3716,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3665]) ).
thf(3717,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3666]) ).
thf(3718,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3672]) ).
thf(3719,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3671]) ).
thf(3720,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[3676]) ).
thf(3721,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[3675]) ).
thf(3722,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[3678]) ).
thf(3723,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3680]) ).
thf(3724,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3681]) ).
thf(3725,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[3685]) ).
thf(3726,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3689]) ).
thf(3727,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)],[3692]) ).
thf(3728,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3699]) ).
thf(3729,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3701]) ).
thf(3730,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)],[3703]) ).
thf(3731,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true ) ),
inference(sim,[status(thm)],[3704]) ).
thf(3732,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3707]) ).
thf(3733,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3709]) ).
thf(3734,plain,
( ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[3712]) ).
thf(3735,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[3713]) ).
thf(3753,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)],[680,671]) ).
thf(3768,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)],[680,582]) ).
thf(3769,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)],[680,582]) ).
thf(3773,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)],[680,582]) ).
thf(3803,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)],[680,563]) ).
thf(3808,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)],[680,491]) ).
thf(3844,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)],[680,337]) ).
thf(3849,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)],[680,299]) ).
thf(3856,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)],[680,299]) ).
thf(3857,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)],[680,299]) ).
thf(3863,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)],[680,298]) ).
thf(3867,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)],[680,298]) ).
thf(3876,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)],[680,155]) ).
thf(3879,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)],[680,146]) ).
thf(3883,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)],[680,145]) ).
thf(3888,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)],[680,80]) ).
thf(3899,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)],[680,77]) ).
thf(3906,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)],[680,68]) ).
thf(3912,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)],[680,66]) ).
thf(3916,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)],[680,65]) ).
thf(3920,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)],[680,46]) ).
thf(3921,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)],[680,46]) ).
thf(3928,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)],[680,45]) ).
thf(3941,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[3928]) ).
thf(3942,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3921]) ).
thf(3944,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)],[3920]) ).
thf(3945,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)],[3920]) ).
thf(3946,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)],[3920]) ).
thf(3947,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3916]) ).
thf(3948,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)],[3912]) ).
thf(3950,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3906]) ).
thf(3951,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3899]) ).
thf(3954,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3888]) ).
thf(3955,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)],[3883]) ).
thf(3957,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3879]) ).
thf(3958,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3876]) ).
thf(3962,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)],[3867]) ).
thf(3963,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)],[3863]) ).
thf(3965,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3857]) ).
thf(3968,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)],[3856]) ).
thf(3971,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)],[3849]) ).
thf(3974,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)],[3844]) ).
thf(3994,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)],[3808]) ).
thf(3995,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)],[3803]) ).
thf(4007,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)],[3773]) ).
thf(4010,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[3769]) ).
thf(4013,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)],[3768]) ).
thf(4016,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)],[3753]) ).
thf(4017,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[3941]) ).
thf(4018,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[3942]) ).
thf(4019,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)],[3946]) ).
thf(4020,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)],[3945]) ).
thf(4021,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3944]) ).
thf(4022,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[3948]) ).
thf(4023,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3950]) ).
thf(4024,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3951]) ).
thf(4025,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[3955]) ).
thf(4026,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[3962]) ).
thf(4027,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[3963]) ).
thf(4028,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3965]) ).
thf(4029,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)],[3968]) ).
thf(4030,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3971]) ).
thf(4031,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3974]) ).
thf(4032,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[3994]) ).
thf(4033,plain,
( ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[3995]) ).
thf(4034,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4007]) ).
thf(4035,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4010]) ).
thf(4036,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)],[4013]) ).
thf(4037,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4016]) ).
thf(4054,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[681,582]) ).
thf(4055,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[681,582]) ).
thf(4059,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)],[681,580]) ).
thf(4060,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)],[681,580]) ).
thf(4069,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)],[681,563]) ).
thf(4070,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)],[681,563]) ).
thf(4082,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)],[681,490]) ).
thf(4086,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)],[681,481]) ).
thf(4092,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[681,371]) ).
thf(4097,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[681,371]) ).
thf(4099,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[681,337]) ).
thf(4103,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(res,[status(thm)],[681,299]) ).
thf(4108,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[681,299]) ).
thf(4120,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[681,146]) ).
thf(4125,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[681,80]) ).
thf(4132,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[681,77]) ).
thf(4145,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[681,46]) ).
thf(4146,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $false ) ),
inference(res,[status(thm)],[681,46]) ).
thf(4156,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4146]) ).
thf(4157,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4146]) ).
thf(4158,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4145]) ).
thf(4159,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4132]) ).
thf(4160,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4125]) ).
thf(4161,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4120]) ).
thf(4162,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4108]) ).
thf(4163,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4108]) ).
thf(4166,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[4103]) ).
thf(4167,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4103]) ).
thf(4168,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4099]) ).
thf(4169,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4097]) ).
thf(4173,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[4092]) ).
thf(4175,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[4086]) ).
thf(4176,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)],[4082]) ).
thf(4183,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4070]) ).
thf(4185,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4069]) ).
thf(4187,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)],[4060]) ).
thf(4188,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4059]) ).
thf(4191,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4055]) ).
thf(4193,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[4054]) ).
thf(4195,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4163]) ).
thf(4196,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4162]) ).
thf(4197,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4167]) ).
thf(4198,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[4166]) ).
thf(4199,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4168]) ).
thf(4200,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4169]) ).
thf(4201,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4173]) ).
thf(4202,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4175]) ).
thf(4203,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4176]) ).
thf(4204,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4183]) ).
thf(4205,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4185]) ).
thf(4206,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4187]) ).
thf(4207,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4188]) ).
thf(4208,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4191]) ).
thf(4209,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4193]) ).
thf(4213,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)],[683,683]) ).
thf(4220,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)],[683,683]) ).
thf(4223,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)],[683,681]) ).
thf(4225,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)],[683,681]) ).
thf(4230,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)],[683,680]) ).
thf(4232,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)],[683,680]) ).
thf(4246,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)],[683,663]) ).
thf(4249,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)],[683,582]) ).
thf(4250,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)],[683,582]) ).
thf(4253,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)],[683,582]) ).
thf(4260,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)],[683,580]) ).
thf(4276,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)],[683,563]) ).
thf(4310,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)],[683,415]) ).
thf(4314,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)],[683,415]) ).
thf(4335,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)],[683,299]) ).
thf(4340,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)],[683,299]) ).
thf(4341,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)],[683,299]) ).
thf(4358,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)],[683,155]) ).
thf(4361,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)],[683,146]) ).
thf(4369,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)],[683,80]) ).
thf(4381,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[683,77]) ).
thf(4388,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[683,68]) ).
thf(4398,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)],[683,65]) ).
thf(4403,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)],[683,46]) ).
thf(4404,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)],[683,46]) ).
thf(4407,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)],[683,45]) ).
thf(4421,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)],[4407]) ).
thf(4422,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4404]) ).
thf(4425,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)],[4403]) ).
thf(4427,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4398]) ).
thf(4428,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4388]) ).
thf(4429,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4381]) ).
thf(4430,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4369]) ).
thf(4431,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4361]) ).
thf(4432,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4358]) ).
thf(4433,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4341]) ).
thf(4436,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)],[4340]) ).
thf(4439,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)],[4335]) ).
thf(4457,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)],[4314]) ).
thf(4458,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)],[4310]) ).
thf(4476,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)],[4276]) ).
thf(4479,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)],[4260]) ).
thf(4487,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)],[4253]) ).
thf(4490,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[4250]) ).
thf(4493,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)],[4249]) ).
thf(4495,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)],[4246]) ).
thf(4497,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)],[4232]) ).
thf(4499,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)],[4230]) ).
thf(4500,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)],[4225]) ).
thf(4502,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)],[4223]) ).
thf(4504,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)],[4220]) ).
thf(4508,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)],[4213]) ).
thf(4511,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4421]) ).
thf(4512,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)],[4425]) ).
thf(4513,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4428]) ).
thf(4514,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4429]) ).
thf(4515,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4433]) ).
thf(4516,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4436]) ).
thf(4517,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4439]) ).
thf(4518,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4457]) ).
thf(4519,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4458]) ).
thf(4520,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4476]) ).
thf(4521,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4479]) ).
thf(4522,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4487]) ).
thf(4523,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4490]) ).
thf(4524,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[4493]) ).
thf(4525,plain,
( ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4495]) ).
thf(4526,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4497]) ).
thf(4527,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)],[4499]) ).
thf(4528,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4500]) ).
thf(4529,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4502]) ).
thf(4530,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[4504]) ).
thf(4531,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(sim,[status(thm)],[4508]) ).
thf(4532,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)],[684,684]) ).
thf(4534,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)],[684,684]) ).
thf(4536,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)],[684,684]) ).
thf(4537,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)],[684,684]) ).
thf(4556,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)],[684,681]) ).
thf(4558,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)],[684,681]) ).
thf(4563,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)],[684,680]) ).
thf(4565,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)],[684,680]) ).
thf(4579,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)],[684,663]) ).
thf(4584,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)],[684,582]) ).
thf(4586,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)],[684,582]) ).
thf(4587,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)],[684,582]) ).
thf(4591,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)],[684,580]) ).
thf(4593,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)],[684,580]) ).
thf(4594,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)],[684,580]) ).
thf(4609,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)],[684,563]) ).
thf(4610,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)],[684,563]) ).
thf(4643,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)],[684,415]) ).
thf(4647,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)],[684,415]) ).
thf(4668,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)],[684,299]) ).
thf(4669,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)],[684,299]) ).
thf(4675,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)],[684,299]) ).
thf(4692,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)],[684,155]) ).
thf(4696,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)],[684,146]) ).
thf(4704,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)],[684,80]) ).
thf(4716,plain,
( ( ( y = y )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[684,77]) ).
thf(4722,plain,
( ( ( x = x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(res,[status(thm)],[684,68]) ).
thf(4732,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)],[684,65]) ).
thf(4737,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)],[684,46]) ).
thf(4738,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)],[684,46]) ).
thf(4740,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)],[684,45]) ).
thf(4754,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4740]) ).
thf(4756,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)],[4738]) ).
thf(4758,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)],[4737]) ).
thf(4760,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)],[4737]) ).
thf(4761,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4732]) ).
thf(4762,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4722]) ).
thf(4763,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4716]) ).
thf(4764,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4704]) ).
thf(4765,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(extuni,[status(esa)],[4696]) ).
thf(4766,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4692]) ).
thf(4768,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)],[4675]) ).
thf(4773,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)],[4669]) ).
thf(4775,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)],[4668]) ).
thf(4790,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4647]) ).
thf(4792,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)],[4643]) ).
thf(4807,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)],[4610]) ).
thf(4809,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)],[4609]) ).
thf(4811,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)],[4594]) ).
thf(4813,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)],[4593]) ).
thf(4815,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)],[4593]) ).
thf(4817,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)],[4591]) ).
thf(4819,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)],[4591]) ).
thf(4820,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)],[4587]) ).
thf(4822,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)],[4586]) ).
thf(4824,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)],[4584]) ).
thf(4830,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)],[4579]) ).
thf(4831,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)],[4565]) ).
thf(4833,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)],[4563]) ).
thf(4835,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)],[4563]) ).
thf(4837,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)],[4558]) ).
thf(4838,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true ) ),
inference(extuni,[status(esa)],[4556]) ).
thf(4848,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)],[4537]) ).
thf(4850,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)],[4536]) ).
thf(4852,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)],[4536]) ).
thf(4854,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)],[4534]) ).
thf(4856,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)],[4532]) ).
thf(4858,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)],[4532]) ).
thf(4859,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4756]) ).
thf(4860,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)],[4760]) ).
thf(4861,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4758]) ).
thf(4862,plain,
( ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4762]) ).
thf(4863,plain,
( ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4763]) ).
thf(4864,plain,
( ( ( f @ x )
= $true )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[4768]) ).
thf(4865,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4773]) ).
thf(4866,plain,
( ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4775]) ).
thf(4867,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4790]) ).
thf(4868,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4792]) ).
thf(4869,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4807]) ).
thf(4870,plain,
( ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4809]) ).
thf(4871,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4811]) ).
thf(4872,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)],[4815]) ).
thf(4873,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)],[4813]) ).
thf(4874,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)],[4819]) ).
thf(4875,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)],[4817]) ).
thf(4876,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4820]) ).
thf(4877,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false )
| ( y = $true ) ),
inference(sim,[status(thm)],[4822]) ).
thf(4878,plain,
( ( ( f @ x )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $true ) ),
inference(sim,[status(thm)],[4824]) ).
thf(4879,plain,
( ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4830]) ).
thf(4880,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( y = $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4831]) ).
thf(4881,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)],[4835]) ).
thf(4882,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)],[4833]) ).
thf(4883,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4837]) ).
thf(4884,plain,
( ( ( f @ x )
= $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[4838]) ).
thf(4885,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4848]) ).
thf(4886,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4852]) ).
thf(4887,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[4850]) ).
thf(4888,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[4854]) ).
thf(4889,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4858]) ).
thf(4890,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( y = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[4856]) ).
thf(4951,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)],[771,582]) ).
thf(4970,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)],[771,491]) ).
thf(4973,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)],[771,491]) ).
thf(4986,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)],[771,490]) ).
thf(5010,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)],[771,337]) ).
thf(5016,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)],[771,337]) ).
thf(5023,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[771,332]) ).
thf(5025,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)],[771,299]) ).
thf(5032,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[771,156]) ).
thf(5044,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[771,145]) ).
thf(5052,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[771,79]) ).
thf(5053,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( y = $false ) ),
inference(res,[status(thm)],[771,77]) ).
thf(5059,plain,
( ( ( y = y )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( x = $true ) ),
inference(res,[status(thm)],[771,68]) ).
thf(5061,plain,
( ( ( x = x )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[771,66]) ).
thf(5074,plain,
( ( ( ( g @ ( f @ x ) )
= ( g @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[771,46]) ).
thf(5077,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[771,45]) ).
thf(5083,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5077]) ).
thf(5085,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5074]) ).
thf(5088,plain,
( ( ( g @ y )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5061]) ).
thf(5089,plain,
( ( x = $true )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5059]) ).
thf(5090,plain,
( ( y = $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5053]) ).
thf(5091,plain,
( ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5052]) ).
thf(5094,plain,
( ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5044]) ).
thf(5097,plain,
( ( ( g @ x )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5032]) ).
thf(5100,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5025]) ).
thf(5101,plain,
( ( ( g @ y )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[5023]) ).
thf(5105,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5016]) ).
thf(5107,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5010]) ).
thf(5114,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)],[4986]) ).
thf(5117,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4973]) ).
thf(5118,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4970]) ).
thf(5126,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[4951]) ).
thf(5153,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5083]) ).
thf(5154,plain,
( ( x = $true )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5089]) ).
thf(5155,plain,
( ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5090]) ).
thf(5156,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5100]) ).
thf(5157,plain,
( ( ( g @ y )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5101]) ).
thf(5158,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5105]) ).
thf(5159,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5107]) ).
thf(5160,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5114]) ).
thf(5161,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5117]) ).
thf(5162,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5118]) ).
thf(5163,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5126]) ).
thf(5240,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)],[774,580]) ).
thf(5245,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)],[774,563]) ).
thf(5249,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)],[774,491]) ).
thf(5251,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)],[774,491]) ).
thf(5256,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)],[774,490]) ).
thf(5257,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)],[774,490]) ).
thf(5270,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)],[774,481]) ).
thf(5271,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)],[774,481]) ).
thf(5276,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)],[774,415]) ).
thf(5283,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)],[774,415]) ).
thf(5288,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)],[774,337]) ).
thf(5295,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)],[774,337]) ).
thf(5299,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[774,332]) ).
thf(5302,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $false ) ),
inference(res,[status(thm)],[774,332]) ).
thf(5304,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)],[774,299]) ).
thf(5310,plain,
( ( ( ( g @ y )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[774,156]) ).
thf(5318,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[774,146]) ).
thf(5323,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[774,145]) ).
thf(5331,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[774,79]) ).
thf(5338,plain,
( ( ( y = y )
= $false )
| ( ( g @ y )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[774,68]) ).
thf(5346,plain,
( ( ( ( g @ y )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[774,65]) ).
thf(5355,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)],[774,45]) ).
thf(5356,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)],[774,45]) ).
thf(5362,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)],[5356]) ).
thf(5363,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)],[5356]) ).
thf(5364,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5355]) ).
thf(5367,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5346]) ).
thf(5368,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5338]) ).
thf(5369,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5331]) ).
thf(5372,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5323]) ).
thf(5373,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5318]) ).
thf(5375,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5310]) ).
thf(5376,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5304]) ).
thf(5378,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[5302]) ).
thf(5379,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5299]) ).
thf(5380,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)],[5295]) ).
thf(5381,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)],[5295]) ).
thf(5384,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)],[5288]) ).
thf(5385,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)],[5288]) ).
thf(5387,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)],[5283]) ).
thf(5391,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)],[5276]) ).
thf(5394,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true ) ),
inference(extuni,[status(esa)],[5271]) ).
thf(5395,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)],[5270]) ).
thf(5399,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)],[5257]) ).
thf(5401,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)],[5256]) ).
thf(5403,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)],[5251]) ).
thf(5405,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)],[5249]) ).
thf(5408,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)],[5245]) ).
thf(5409,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)],[5240]) ).
thf(5461,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5372]) ).
thf(5462,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5373]) ).
thf(5463,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5375]) ).
thf(5464,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5376]) ).
thf(5465,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[5378]) ).
thf(5466,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5381]) ).
thf(5467,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5380]) ).
thf(5468,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[5385]) ).
thf(5469,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[5384]) ).
thf(5470,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5387]) ).
thf(5471,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5391]) ).
thf(5472,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5394]) ).
thf(5473,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5395]) ).
thf(5474,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)],[5399]) ).
thf(5475,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5401]) ).
thf(5476,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5403]) ).
thf(5477,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5405]) ).
thf(5478,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(sim,[status(thm)],[5408]) ).
thf(5479,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)],[5409]) ).
thf(5495,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)],[779,774]) ).
thf(5503,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)],[779,771]) ).
thf(5560,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)],[779,580]) ).
thf(5566,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)],[779,563]) ).
thf(5573,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)],[779,491]) ).
thf(5574,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)],[779,491]) ).
thf(5580,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)],[779,490]) ).
thf(5581,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)],[779,490]) ).
thf(5592,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)],[779,481]) ).
thf(5593,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)],[779,481]) ).
thf(5596,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)],[779,415]) ).
thf(5601,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)],[779,415]) ).
thf(5608,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)],[779,337]) ).
thf(5613,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)],[779,337]) ).
thf(5620,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)],[779,299]) ).
thf(5625,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $true ) ),
inference(res,[status(thm)],[779,298]) ).
thf(5627,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[779,298]) ).
thf(5633,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[779,155]) ).
thf(5642,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[779,145]) ).
thf(5647,plain,
( ( ( ( g @ x )
= ( g @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[779,80]) ).
thf(5650,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[779,79]) ).
thf(5656,plain,
( ( ( y = y )
= $false )
| ( ( g @ x )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[779,68]) ).
thf(5663,plain,
( ( ( ( g @ x )
= ( g @ y ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[779,66]) ).
thf(5674,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)],[779,45]) ).
thf(5675,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)],[779,45]) ).
thf(5686,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)],[5675]) ).
thf(5687,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)],[5675]) ).
thf(5688,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5674]) ).
thf(5690,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[5663]) ).
thf(5691,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5656]) ).
thf(5692,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5650]) ).
thf(5693,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5647]) ).
thf(5694,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5642]) ).
thf(5697,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5633]) ).
thf(5698,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[5627]) ).
thf(5700,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false )
| ( y = $false ) ),
inference(extuni,[status(esa)],[5625]) ).
thf(5701,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5620]) ).
thf(5702,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)],[5613]) ).
thf(5703,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)],[5613]) ).
thf(5706,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)],[5608]) ).
thf(5707,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)],[5608]) ).
thf(5709,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)],[5601]) ).
thf(5713,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)],[5596]) ).
thf(5714,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false ) ),
inference(extuni,[status(esa)],[5593]) ).
thf(5715,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)],[5592]) ).
thf(5717,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)],[5581]) ).
thf(5719,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)],[5580]) ).
thf(5721,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)],[5574]) ).
thf(5723,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)],[5573]) ).
thf(5728,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)],[5566]) ).
thf(5731,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)],[5560]) ).
thf(5779,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)],[5503]) ).
thf(5782,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)],[5495]) ).
thf(5783,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5690]) ).
thf(5784,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5692]) ).
thf(5785,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[5693]) ).
thf(5786,plain,
( ( ( g @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[5700]) ).
thf(5787,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5701]) ).
thf(5788,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5703]) ).
thf(5789,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5702]) ).
thf(5790,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[5707]) ).
thf(5791,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[5706]) ).
thf(5792,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5709]) ).
thf(5793,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[5713]) ).
thf(5794,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5714]) ).
thf(5795,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5715]) ).
thf(5796,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)],[5717]) ).
thf(5797,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5719]) ).
thf(5798,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5721]) ).
thf(5799,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[5723]) ).
thf(5800,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(sim,[status(thm)],[5728]) ).
thf(5801,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)],[5731]) ).
thf(5802,plain,
( ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[5779]) ).
thf(5803,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(sim,[status(thm)],[5782]) ).
thf(5821,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)],[796,779]) ).
thf(5907,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)],[796,582]) ).
thf(5927,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)],[796,491]) ).
thf(5928,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)],[796,491]) ).
thf(5932,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)],[796,491]) ).
thf(5962,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)],[796,481]) ).
thf(5979,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)],[796,337]) ).
thf(5986,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)],[796,337]) ).
thf(5987,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)],[796,337]) ).
thf(5993,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)],[796,332]) ).
thf(5997,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)],[796,332]) ).
thf(5999,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)],[796,299]) ).
thf(6009,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)],[796,156]) ).
thf(6016,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)],[796,146]) ).
thf(6022,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)],[796,145]) ).
thf(6032,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)],[796,79]) ).
thf(6035,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)],[796,77]) ).
thf(6041,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)],[796,68]) ).
thf(6045,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)],[796,66]) ).
thf(6051,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)],[796,65]) ).
thf(6060,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)],[796,46]) ).
thf(6062,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)],[796,45]) ).
thf(6063,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)],[796,45]) ).
thf(6070,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6063]) ).
thf(6071,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)],[6062]) ).
thf(6073,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)],[6062]) ).
thf(6074,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)],[6062]) ).
thf(6075,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6060]) ).
thf(6077,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)],[6051]) ).
thf(6078,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6045]) ).
thf(6079,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6041]) ).
thf(6080,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6035]) ).
thf(6081,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6032]) ).
thf(6084,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6022]) ).
thf(6086,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)],[6016]) ).
thf(6087,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6009]) ).
thf(6090,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)],[5999]) ).
thf(6091,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)],[5997]) ).
thf(6094,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)],[5993]) ).
thf(6095,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5987]) ).
thf(6099,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)],[5986]) ).
thf(6100,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)],[5979]) ).
thf(6114,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)],[5962]) ).
thf(6125,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)],[5932]) ).
thf(6129,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[5928]) ).
thf(6133,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)],[5927]) ).
thf(6143,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)],[5907]) ).
thf(6197,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)],[5821]) ).
thf(6199,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[6070]) ).
thf(6200,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)],[6074]) ).
thf(6201,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)],[6073]) ).
thf(6202,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6071]) ).
thf(6203,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true ) ),
inference(sim,[status(thm)],[6075]) ).
thf(6204,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6077]) ).
thf(6205,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6079]) ).
thf(6206,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6080]) ).
thf(6207,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6086]) ).
thf(6208,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6090]) ).
thf(6209,plain,
( ( ( g @ y )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6091]) ).
thf(6210,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6094]) ).
thf(6211,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6095]) ).
thf(6212,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)],[6099]) ).
thf(6213,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6100]) ).
thf(6214,plain,
( ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6114]) ).
thf(6215,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6125]) ).
thf(6216,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6129]) ).
thf(6217,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)],[6133]) ).
thf(6218,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6143]) ).
thf(6219,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6197]) ).
thf(6281,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)],[798,580]) ).
thf(6285,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)],[798,563]) ).
thf(6289,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[798,491]) ).
thf(6290,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false ) ),
inference(res,[status(thm)],[798,491]) ).
thf(6294,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)],[798,490]) ).
thf(6295,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)],[798,490]) ).
thf(6304,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)],[798,481]) ).
thf(6305,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)],[798,481]) ).
thf(6308,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[798,415]) ).
thf(6313,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[798,415]) ).
thf(6317,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( y = $false ) ),
inference(res,[status(thm)],[798,337]) ).
thf(6322,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[798,337]) ).
thf(6328,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[798,299]) ).
thf(6343,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ y )
= $true ) ),
inference(res,[status(thm)],[798,145]) ).
thf(6349,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ x )
= $false ) ),
inference(res,[status(thm)],[798,79]) ).
thf(6354,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[798,68]) ).
thf(6367,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[798,45]) ).
thf(6368,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( g @ ( f @ x ) )
= $true ) ),
inference(res,[status(thm)],[798,45]) ).
thf(6373,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6368]) ).
thf(6374,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6368]) ).
thf(6375,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6367]) ).
thf(6376,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6354]) ).
thf(6377,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6349]) ).
thf(6378,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6343]) ).
thf(6379,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6328]) ).
thf(6380,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6322]) ).
thf(6381,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6322]) ).
thf(6384,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6317]) ).
thf(6385,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[6317]) ).
thf(6387,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[6313]) ).
thf(6391,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[6308]) ).
thf(6392,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6305]) ).
thf(6393,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6304]) ).
thf(6395,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)],[6295]) ).
thf(6397,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false ) ),
inference(extuni,[status(esa)],[6294]) ).
thf(6399,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[6290]) ).
thf(6401,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[6289]) ).
thf(6404,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[6285]) ).
thf(6405,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)],[6281]) ).
thf(6453,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6379]) ).
thf(6454,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6381]) ).
thf(6455,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6380]) ).
thf(6456,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[6385]) ).
thf(6457,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6384]) ).
thf(6458,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6387]) ).
thf(6459,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6391]) ).
thf(6460,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6392]) ).
thf(6461,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6393]) ).
thf(6462,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6395]) ).
thf(6463,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6397]) ).
thf(6464,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6399]) ).
thf(6465,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[6401]) ).
thf(6466,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6404]) ).
thf(6467,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[6405]) ).
thf(6471,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)],[799,799]) ).
thf(6478,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)],[799,799]) ).
thf(6481,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)],[799,798]) ).
thf(6483,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)],[799,798]) ).
thf(6488,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)],[799,796]) ).
thf(6490,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)],[799,796]) ).
thf(6504,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)],[799,771]) ).
thf(6594,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)],[799,491]) ).
thf(6595,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)],[799,491]) ).
thf(6598,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)],[799,491]) ).
thf(6605,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)],[799,490]) ).
thf(6621,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)],[799,481]) ).
thf(6636,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)],[799,371]) ).
thf(6640,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)],[799,371]) ).
thf(6642,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)],[799,337]) ).
thf(6647,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)],[799,337]) ).
thf(6648,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)],[799,337]) ).
thf(6671,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)],[799,156]) ).
thf(6684,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)],[799,145]) ).
thf(6694,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)],[799,79]) ).
thf(6698,plain,
( ( ( x = x )
= $false )
| ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(res,[status(thm)],[799,77]) ).
thf(6702,plain,
( ( ( y = y )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(res,[status(thm)],[799,68]) ).
thf(6708,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)],[799,66]) ).
thf(6723,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)],[799,46]) ).
thf(6724,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)],[799,45]) ).
thf(6725,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)],[799,45]) ).
thf(6735,plain,
( ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6725]) ).
thf(6739,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)],[6724]) ).
thf(6740,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)],[6723]) ).
thf(6742,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6708]) ).
thf(6743,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6702]) ).
thf(6744,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6698]) ).
thf(6745,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6694]) ).
thf(6746,plain,
( ( ( g @ y )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6684]) ).
thf(6747,plain,
( ( ( g @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6671]) ).
thf(6752,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6648]) ).
thf(6756,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)],[6647]) ).
thf(6757,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)],[6642]) ).
thf(6761,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)],[6640]) ).
thf(6763,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)],[6636]) ).
thf(6774,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)],[6621]) ).
thf(6778,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)],[6605]) ).
thf(6785,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)],[6598]) ).
thf(6789,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[6595]) ).
thf(6793,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)],[6594]) ).
thf(6864,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)],[6504]) ).
thf(6865,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)],[6490]) ).
thf(6867,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)],[6488]) ).
thf(6869,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)],[6483]) ).
thf(6870,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)],[6481]) ).
thf(6872,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)],[6478]) ).
thf(6876,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)],[6471]) ).
thf(6880,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)],[6739]) ).
thf(6881,plain,
( ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6740]) ).
thf(6882,plain,
( ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6743]) ).
thf(6883,plain,
( ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6744]) ).
thf(6884,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6752]) ).
thf(6885,plain,
( ( ( f @ x )
= $false )
| ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6756]) ).
thf(6886,plain,
( ( y = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6757]) ).
thf(6887,plain,
( ( ( f @ x )
= $true )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6761]) ).
thf(6888,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6763]) ).
thf(6889,plain,
( ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6774]) ).
thf(6890,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( g @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6778]) ).
thf(6891,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6785]) ).
thf(6892,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( y = $false ) ),
inference(sim,[status(thm)],[6789]) ).
thf(6893,plain,
( ( ( f @ x )
= $false )
| ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[6793]) ).
thf(6894,plain,
( ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6864]) ).
thf(6895,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( y = $false )
| ( x = $true )
| ( ( g @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6865]) ).
thf(6896,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)],[6867]) ).
thf(6897,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6869]) ).
thf(6898,plain,
( ( ( f @ x )
= $true )
| ( y = $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true ) ),
inference(sim,[status(thm)],[6870]) ).
thf(6899,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[6872]) ).
thf(6900,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( y = $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(sim,[status(thm)],[6876]) ).
thf(6901,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,6900,6899,6898,6897,6896,6895,6894,6893,6892,6891,6890,6889,6888,6887,6886,6885,6884,6883,6882,6881,6880,6747,6746,6745,6742,6735,6467,6466,6465,6464,6463,6462,6461,6460,6459,6458,6457,6456,6455,6454,6453,6378,6377,6376,6375,6374,6373,6219,6218,6217,6216,6215,6214,6213,6212,6211,6210,6209,6208,6207,6206,6205,6204,6203,6202,6201,6200,6199,6087,6084,6081,6078,5803,5802,5801,5800,5799,5798,5797,5796,5795,5794,5793,5792,5791,5790,5789,5788,5787,5786,5785,5784,5783,5698,5697,5694,5691,5688,5687,5686,5479,5478,5477,5476,5475,5474,5473,5472,5471,5470,5469,5468,5467,5466,5465,5464,5463,5462,5461,5379,5369,5368,5367,5364,5363,5362,5163,5162,5161,5160,5159,5158,5157,5156,5155,5154,5153,5097,5094,5091,5088,5085,4890,4889,4888,4887,4886,4885,4884,4883,4882,4881,4880,4879,4878,4877,4876,4875,4874,4873,4872,4871,4870,4869,4868,4867,4866,4865,4864,4863,4862,4861,4860,4859,4766,4765,4764,4761,4754,4531,4530,4529,4528,4527,4526,4525,4524,4523,4522,4521,4520,4519,4518,4517,4516,4515,4514,4513,4512,4511,4432,4431,4430,4427,4422,4209,4208,4207,4206,4205,4204,4203,4202,4201,4200,4199,4198,4197,4196,4195,4161,4160,4159,4158,4157,4156,4037,4036,4035,4034,4033,4032,4031,4030,4029,4028,4027,4026,4025,4024,4023,4022,4021,4020,4019,4018,4017,3958,3957,3954,3947,3735,3734,3733,3732,3731,3730,3729,3728,3727,3726,3725,3724,3723,3722,3721,3720,3719,3718,3717,3716,3715,3677,3670,3667,3664,3659,3658,3657,3496,3495,3494,3493,3492,3491,3490,3489,3488,3487,3486,3485,3484,3483,3482,3481,3480,3479,3478,3440,3433,3430,3429,3428,3427,3426,3273,3272,3271,3270,3269,3268,3267,3266,3265,3264,3263,3233,3232,3229,3222,3219,3074,3073,3072,3071,3070,3069,3068,3067,3032,3031,3030,3029,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2906,2905,2904,2903,2838,2835,2834,2827,2639,2638,2637,2636,2635,2634,2633,2632,2631,2630,2629,2628,2595,2590,2589,2586,2583,2442,2441,2440,2439,2438,2437,2436,2435,2434,2433,2398,2393,2392,2389,2386,2257,2256,2255,2254,2253,2252,2251,2223,2220,2219,2212,2211,2088,2087,2086,2085,2084,2083,2082,2081,2061,2060,2059,2058,1972,1971,1970,1969,1968,1967,1966,1965,1964,1963,1962,1961,1960,1959,1958,1957,1956,1955,1954,1953,1952,1951,1950,1901,1896,1893,1890,1730,1729,1728,1727,1726,1725,1724,1723,1722,1721,1720,1719,1707,1696,1695,1692,1687,1572,1571,1570,1569,1568,1567,1566,1565,1564,1563,1547,1542,1541,1540,1537,1430,1429,1428,1427,1426,1425,1424,1411,1406,1403,1400,1395,1298,1297,1296,1282,1281,1280,1277,1207,1206,1205,1191,1190,1189,1186,1122,1121,1120,1105,1104,1103,1102,1101,1100,1027,1026,1025,1024,1023,1022,1020,1019,1018,1017,1013,1012,1007,1006,1003,1002,1001,1000,948,947,946,931,930,929,928,927,926,865,864,863,862,861,860,857,856,851,850,847,846,845,844,800,799,798,796,771,684,683,681,680,663,582,580,563,491,490,481,415,371,337,332,299,298,156,155,146,145,80,79,77,68,66,65,49,46,45,41,24]) ).
thf(6902,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[6901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO041^2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 04:07:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)........................................................................................................................................
% 2.18/2.46
% 2.18/2.46 ********************************
% 2.18/2.46 * All subproblems solved! *
% 2.18/2.46 ********************************
% 2.18/2.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:6901,loop_count:110,foatp_calls:13,translation:fof_full)
% 10.73/10.98
% 10.73/10.98 %**** Beginning of derivation protocol ****
% 10.73/10.98 % SZS output start CNFRefutation
% See solution above
% 10.73/10.99
% 10.73/10.99 %**** End of derivation protocol ****
% 10.73/10.99 %**** no. of clauses in derivation: 1609 ****
% 10.73/10.99 %**** clause counter: 6901 ****
% 10.73/10.99
% 10.73/10.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:6901,loop_count:110,foatp_calls:13,translation:fof_full)
%------------------------------------------------------------------------------