TSTP Solution File: HWC002-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : HWC002-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n028.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 : Sat Jul 16 13:07:20 EDT 2022
% Result : Unsatisfiable 9.14s 9.31s
% Output : CNFRefutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 51
% Syntax : Number of formulae : 264 ( 207 unt; 12 typ; 0 def)
% Number of atoms : 883 ( 327 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 4478 ( 137 ~; 147 |; 0 &;4194 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 958 ( 0 ^ 958 !; 0 ?; 958 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_and,type,
and: $i > $i > $i ).
thf(tp_bottom,type,
bottom: $i > $i ).
thf(tp_circuit,type,
circuit: $i > $i > $i > $o ).
thf(tp_connect,type,
connect: $i > $i > $i ).
thf(tp_middle,type,
middle: $i > $i ).
thf(tp_n0,type,
n0: $i ).
thf(tp_n1,type,
n1: $i ).
thf(tp_nil,type,
nil: $i ).
thf(tp_not,type,
not: $i > $i ).
thf(tp_or,type,
or: $i > $i > $i ).
thf(tp_table,type,
table: $i > $i > $i > $i > $i ).
thf(tp_top,type,
top: $i > $i ).
thf(1,axiom,
! [X: $i,Y: $i] :
( ( connect @ X @ ( connect @ X @ Y ) )
= ( connect @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_definition2) ).
thf(2,axiom,
! [X: $i] :
( ( connect @ nil @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connect_definition1) ).
thf(3,axiom,
( ( table @ n1 @ n1 @ n1 @ n1 )
= nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',full_table) ).
thf(4,axiom,
( ( table @ n0 @ n0 @ n0 @ n0 )
= nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_table) ).
thf(5,axiom,
( ( not @ nil )
= nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition3) ).
thf(6,axiom,
! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( not @ ( table @ X1 @ X2 @ X3 @ X4 ) )
= ( table @ ( not @ X1 ) @ ( not @ X2 ) @ ( not @ X3 ) @ ( not @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_table_definition) ).
thf(7,axiom,
! [X: $i] :
( ( or @ nil @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition5) ).
thf(8,axiom,
! [X1: $i,X2: $i,X3: $i,X4: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( or @ ( table @ X1 @ X2 @ X3 @ X4 ) @ ( table @ Y1 @ Y2 @ Y3 @ Y4 ) )
= ( table @ ( or @ X1 @ Y1 ) @ ( or @ X2 @ Y2 ) @ ( or @ X3 @ Y3 ) @ ( or @ X4 @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_table_definition) ).
thf(9,axiom,
! [X: $i] :
( ( and @ nil @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition5) ).
thf(10,axiom,
! [X1: $i,X2: $i,X3: $i,X4: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( and @ ( table @ X1 @ X2 @ X3 @ X4 ) @ ( table @ Y1 @ Y2 @ Y3 @ Y4 ) )
= ( table @ ( and @ X1 @ Y1 ) @ ( and @ X2 @ Y2 ) @ ( and @ X3 @ Y3 ) @ ( and @ X4 @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_table_definition) ).
thf(11,axiom,
! [X: $i,Y: $i] : ( circuit @ ( top @ X ) @ Y @ ( bottom @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsume_symmetric) ).
thf(12,axiom,
! [X1: $i,X2: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( not @ Z1 ) @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invert_adjacent2) ).
thf(13,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( not @ Z1 ) @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invert_adjacent1) ).
thf(14,axiom,
! [X: $i,Y: $i,Z: $i] :
( ~ ( circuit @ ( top @ X ) @ ( middle @ Y ) @ ( bottom @ Z ) )
| ( circuit @ ( top @ X ) @ ( middle @ ( not @ Y ) ) @ ( bottom @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invert_middle) ).
thf(15,axiom,
! [X1: $i,X2: $i,X3: $i,Y: $i,Z1: $i,Z2: $i,Z3: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ ( connect @ X2 @ X3 ) ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ ( connect @ Z2 @ Z3 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ X1 @ X2 ) @ X3 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( or @ Z1 @ Z2 ) @ Z3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_nearest_middle2) ).
thf(16,axiom,
! [X1: $i,X2: $i,X3: $i,Y: $i,Z1: $i,Z2: $i,Z3: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ ( connect @ X2 @ X3 ) ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ ( connect @ Z2 @ Z3 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ X1 @ X2 ) @ X3 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( and @ Z1 @ Z2 ) @ Z3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_nearest_middle1) ).
thf(17,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ ( connect @ X1 @ X2 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ ( connect @ Z1 @ Z2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_to_middle2) ).
thf(18,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ ( connect @ X1 @ X2 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ ( connect @ Z1 @ Z2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_to_middle1) ).
thf(19,axiom,
! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ ( or @ X1 @ Y1 ) ) @ ( bottom @ ( connect @ Y1 @ Y2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_across_middle2) ).
thf(20,axiom,
! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ ( and @ X1 @ Y1 ) ) @ ( bottom @ ( connect @ Y1 @ Y2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_across_middle1) ).
thf(21,axiom,
! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ X2 ) @ ( middle @ ( or @ X1 @ Y1 ) ) @ ( bottom @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_across_empty_middle2) ).
thf(22,axiom,
! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ X2 ) @ ( middle @ ( and @ X1 @ Y1 ) ) @ ( bottom @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',join_across_empty_middle1) ).
thf(23,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',split_and_omit_middle2) ).
thf(24,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',split_and_omit_middle1) ).
thf(25,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',split_and_keep_middle2) ).
thf(26,axiom,
! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ Z2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',split_and_keep_middle1) ).
thf(27,axiom,
( ( not @ n1 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition2) ).
thf(28,axiom,
( ( not @ n0 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_definition1) ).
thf(29,axiom,
( ( or @ n1 @ n1 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition4) ).
thf(30,axiom,
( ( or @ n1 @ n0 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition3) ).
thf(31,axiom,
( ( or @ n0 @ n1 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition2) ).
thf(32,axiom,
( ( or @ n0 @ n0 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_definition1) ).
thf(33,axiom,
( ( and @ n1 @ n1 )
= n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition4) ).
thf(34,axiom,
( ( and @ n1 @ n0 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition3) ).
thf(35,axiom,
( ( and @ n0 @ n1 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition2) ).
thf(36,axiom,
( ( and @ n0 @ n0 )
= n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition1) ).
thf(37,axiom,
circuit @ ( top @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',input_configuration) ).
thf(38,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(39,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[38]) ).
thf(40,negated_conjecture,
~ ( circuit @ ( top @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_output_configuration) ).
thf(41,plain,
$false = $false,
inference(unfold_def,[status(thm)],[39]) ).
thf(42,plain,
( ( ! [X: $i,Y: $i] :
( ( connect @ X @ ( connect @ X @ Y ) )
= ( connect @ X @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(43,plain,
( ( ! [X: $i] :
( ( connect @ nil @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(44,plain,
( ( ( table @ n1 @ n1 @ n1 @ n1 )
= nil )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(45,plain,
( ( ( table @ n0 @ n0 @ n0 @ n0 )
= nil )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(46,plain,
( ( ( not @ nil )
= nil )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(47,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( not @ ( table @ X1 @ X2 @ X3 @ X4 ) )
= ( table @ ( not @ X1 ) @ ( not @ X2 ) @ ( not @ X3 ) @ ( not @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(48,plain,
( ( ! [X: $i] :
( ( or @ nil @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(49,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( or @ ( table @ X1 @ X2 @ X3 @ X4 ) @ ( table @ Y1 @ Y2 @ Y3 @ Y4 ) )
= ( table @ ( or @ X1 @ Y1 ) @ ( or @ X2 @ Y2 ) @ ( or @ X3 @ Y3 ) @ ( or @ X4 @ Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(50,plain,
( ( ! [X: $i] :
( ( and @ nil @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(51,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( and @ ( table @ X1 @ X2 @ X3 @ X4 ) @ ( table @ Y1 @ Y2 @ Y3 @ Y4 ) )
= ( table @ ( and @ X1 @ Y1 ) @ ( and @ X2 @ Y2 ) @ ( and @ X3 @ Y3 ) @ ( and @ X4 @ Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(52,plain,
( ( ! [X: $i,Y: $i] : ( circuit @ ( top @ X ) @ Y @ ( bottom @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(53,plain,
( ( ! [X1: $i,X2: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( not @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(54,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( not @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(55,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( circuit @ ( top @ X ) @ ( middle @ Y ) @ ( bottom @ Z ) )
| ( circuit @ ( top @ X ) @ ( middle @ ( not @ Y ) ) @ ( bottom @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(56,plain,
( ( ! [X1: $i,X2: $i,X3: $i,Y: $i,Z1: $i,Z2: $i,Z3: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ ( connect @ X2 @ X3 ) ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ ( connect @ Z2 @ Z3 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ X1 @ X2 ) @ X3 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( or @ Z1 @ Z2 ) @ Z3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(57,plain,
( ( ! [X1: $i,X2: $i,X3: $i,Y: $i,Z1: $i,Z2: $i,Z3: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ ( connect @ X2 @ X3 ) ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ ( connect @ Z2 @ Z3 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ X1 @ X2 ) @ X3 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( and @ Z1 @ Z2 ) @ Z3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(58,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ ( connect @ X1 @ X2 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ ( connect @ Z1 @ Z2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(59,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ ( connect @ X1 @ X2 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ ( connect @ Z1 @ Z2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(60,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ ( or @ X1 @ Y1 ) ) @ ( bottom @ ( connect @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(61,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ ( and @ X1 @ Y1 ) ) @ ( bottom @ ( connect @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(62,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ X2 ) @ ( middle @ ( or @ X1 @ Y1 ) ) @ ( bottom @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(63,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ X2 ) @ ( middle @ ( and @ X1 @ Y1 ) ) @ ( bottom @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(64,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(65,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(66,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(67,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(68,plain,
( ( ( not @ n1 )
= n0 )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(69,plain,
( ( ( not @ n0 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(70,plain,
( ( ( or @ n1 @ n1 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(71,plain,
( ( ( or @ n1 @ n0 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(72,plain,
( ( ( or @ n0 @ n1 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(73,plain,
( ( ( or @ n0 @ n0 )
= n0 )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(74,plain,
( ( ( and @ n1 @ n1 )
= n1 )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(75,plain,
( ( ( and @ n1 @ n0 )
= n0 )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(76,plain,
( ( ( and @ n0 @ n1 )
= n0 )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(77,plain,
( ( ( and @ n0 @ n0 )
= n0 )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(78,plain,
( ( circuit @ ( top @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(79,plain,
( ( ~ ( circuit @ ( top @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(80,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[41]) ).
thf(81,plain,
( ( ~ ( circuit @ ( top @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(82,plain,
( ( circuit @ ( top @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(83,plain,
( ( ( and @ n0 @ n0 )
= n0 )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(84,plain,
( ( ( and @ n0 @ n1 )
= n0 )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(85,plain,
( ( ( and @ n1 @ n0 )
= n0 )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(86,plain,
( ( ( and @ n1 @ n1 )
= n1 )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(87,plain,
( ( ( or @ n0 @ n0 )
= n0 )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(88,plain,
( ( ( or @ n0 @ n1 )
= n1 )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(89,plain,
( ( ( or @ n1 @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(90,plain,
( ( ( or @ n1 @ n1 )
= n1 )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(91,plain,
( ( ( not @ n0 )
= n1 )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(92,plain,
( ( ( not @ n1 )
= n0 )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(93,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(94,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(95,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(96,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(97,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ X2 ) @ ( middle @ ( and @ X1 @ Y1 ) ) @ ( bottom @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(98,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ X2 ) @ ( middle @ ( or @ X1 @ Y1 ) ) @ ( bottom @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(99,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ ( and @ X1 @ Y1 ) ) @ ( bottom @ ( connect @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(100,plain,
( ( ! [X1: $i,X2: $i,Y1: $i,Y2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Y1 @ Y2 ) ) )
| ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ ( or @ X1 @ Y1 ) ) @ ( bottom @ ( connect @ Y1 @ Y2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(101,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ Y @ X1 ) @ ( connect @ X1 @ X2 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ Y @ Z1 ) @ ( connect @ Z1 @ Z2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(102,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ Y @ X1 ) @ ( connect @ X1 @ X2 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ Y @ Z1 ) @ ( connect @ Z1 @ Z2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(103,plain,
( ( ! [X1: $i,X2: $i,X3: $i,Y: $i,Z1: $i,Z2: $i,Z3: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ ( connect @ X2 @ X3 ) ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ ( connect @ Z2 @ Z3 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ X1 @ X2 ) @ X3 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( and @ Z1 @ Z2 ) @ Z3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(104,plain,
( ( ! [X1: $i,X2: $i,X3: $i,Y: $i,Z1: $i,Z2: $i,Z3: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ ( connect @ X2 @ X3 ) ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ ( connect @ Z2 @ Z3 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ X1 @ X2 ) @ X3 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( or @ Z1 @ Z2 ) @ Z3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(105,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ~ ( circuit @ ( top @ X ) @ ( middle @ Y ) @ ( bottom @ Z ) )
| ( circuit @ ( top @ X ) @ ( middle @ ( not @ Y ) ) @ ( bottom @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(106,plain,
( ( ! [X1: $i,X2: $i,Y: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ X1 ) @ X2 ) ) @ ( middle @ Y ) @ ( bottom @ ( connect @ ( not @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(107,plain,
( ( ! [X1: $i,X2: $i,Z1: $i,Z2: $i] :
( ~ ( circuit @ ( top @ ( connect @ X1 @ X2 ) ) @ nil @ ( bottom @ ( connect @ Z1 @ Z2 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ X1 ) @ X2 ) ) @ nil @ ( bottom @ ( connect @ ( not @ Z1 ) @ Z2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(108,plain,
( ( ! [X: $i,Y: $i] : ( circuit @ ( top @ X ) @ Y @ ( bottom @ X ) ) )
= $true ),
inference(copy,[status(thm)],[52]) ).
thf(109,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( and @ ( table @ X1 @ X2 @ X3 @ X4 ) @ ( table @ Y1 @ Y2 @ Y3 @ Y4 ) )
= ( table @ ( and @ X1 @ Y1 ) @ ( and @ X2 @ Y2 ) @ ( and @ X3 @ Y3 ) @ ( and @ X4 @ Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(110,plain,
( ( ! [X: $i] :
( ( and @ nil @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(111,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i,Y1: $i,Y2: $i,Y3: $i,Y4: $i] :
( ( or @ ( table @ X1 @ X2 @ X3 @ X4 ) @ ( table @ Y1 @ Y2 @ Y3 @ Y4 ) )
= ( table @ ( or @ X1 @ Y1 ) @ ( or @ X2 @ Y2 ) @ ( or @ X3 @ Y3 ) @ ( or @ X4 @ Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(112,plain,
( ( ! [X: $i] :
( ( or @ nil @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(113,plain,
( ( ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( not @ ( table @ X1 @ X2 @ X3 @ X4 ) )
= ( table @ ( not @ X1 ) @ ( not @ X2 ) @ ( not @ X3 ) @ ( not @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(114,plain,
( ( ( not @ nil )
= nil )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(115,plain,
( ( ( table @ n0 @ n0 @ n0 @ n0 )
= nil )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(116,plain,
( ( ( table @ n1 @ n1 @ n1 @ n1 )
= nil )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(117,plain,
( ( ! [X: $i] :
( ( connect @ nil @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(118,plain,
( ( ! [X: $i,Y: $i] :
( ( connect @ X @ ( connect @ X @ Y ) )
= ( connect @ X @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(119,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(120,plain,
( ( circuit @ ( top @ ( connect @ ( table @ n0 @ n1 @ n0 @ n1 ) @ nil ) ) @ nil @ ( bottom @ ( connect @ ( table @ n0 @ n0 @ n1 @ n1 ) @ nil ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(121,plain,
! [SV1: $i] :
( ( ! [SY99: $i,SY100: $i,SY101: $i,SY102: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV1 @ SY99 ) ) @ ( middle @ SY100 ) @ ( bottom @ ( connect @ SY101 @ SY102 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SY100 @ SV1 ) @ SY99 ) ) @ ( middle @ SY100 ) @ ( bottom @ ( connect @ ( and @ SY100 @ SY101 ) @ SY102 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(122,plain,
! [SV2: $i] :
( ( ! [SY103: $i,SY104: $i,SY105: $i,SY106: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV2 @ SY103 ) ) @ ( middle @ SY104 ) @ ( bottom @ ( connect @ SY105 @ SY106 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SY104 @ SV2 ) @ SY103 ) ) @ ( middle @ SY104 ) @ ( bottom @ ( connect @ ( or @ SY104 @ SY105 ) @ SY106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(123,plain,
! [SV3: $i] :
( ( ! [SY107: $i,SY108: $i,SY109: $i,SY110: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV3 @ SY107 ) ) @ ( middle @ SY108 ) @ ( bottom @ ( connect @ SY109 @ SY110 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SY108 @ SV3 ) @ SY107 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SY108 @ SY109 ) @ SY110 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(124,plain,
! [SV4: $i] :
( ( ! [SY111: $i,SY112: $i,SY113: $i,SY114: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV4 @ SY111 ) ) @ ( middle @ SY112 ) @ ( bottom @ ( connect @ SY113 @ SY114 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SY112 @ SV4 ) @ SY111 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SY112 @ SY113 ) @ SY114 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(125,plain,
! [SV5: $i] :
( ( ! [SY115: $i,SY116: $i,SY117: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV5 @ SY115 ) ) @ nil @ ( bottom @ ( connect @ SY116 @ SY117 ) ) )
| ( circuit @ ( top @ SY115 ) @ ( middle @ ( and @ SV5 @ SY116 ) ) @ ( bottom @ SY117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(126,plain,
! [SV6: $i] :
( ( ! [SY118: $i,SY119: $i,SY120: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV6 @ SY118 ) ) @ nil @ ( bottom @ ( connect @ SY119 @ SY120 ) ) )
| ( circuit @ ( top @ SY118 ) @ ( middle @ ( or @ SV6 @ SY119 ) ) @ ( bottom @ SY120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(127,plain,
! [SV7: $i] :
( ( ! [SY121: $i,SY122: $i,SY123: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV7 @ SY121 ) ) @ nil @ ( bottom @ ( connect @ SY122 @ SY123 ) ) )
| ( circuit @ ( top @ ( connect @ SV7 @ SY121 ) ) @ ( middle @ ( and @ SV7 @ SY122 ) ) @ ( bottom @ ( connect @ SY122 @ SY123 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(128,plain,
! [SV8: $i] :
( ( ! [SY124: $i,SY125: $i,SY126: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV8 @ SY124 ) ) @ nil @ ( bottom @ ( connect @ SY125 @ SY126 ) ) )
| ( circuit @ ( top @ ( connect @ SV8 @ SY124 ) ) @ ( middle @ ( or @ SV8 @ SY125 ) ) @ ( bottom @ ( connect @ SY125 @ SY126 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(129,plain,
! [SV9: $i] :
( ( ! [SY127: $i,SY128: $i,SY129: $i,SY130: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV9 @ SY127 ) ) @ ( middle @ SY128 ) @ ( bottom @ ( connect @ SY129 @ SY130 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SY128 @ SV9 ) @ ( connect @ SV9 @ SY127 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SY128 @ SY129 ) @ ( connect @ SY129 @ SY130 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(130,plain,
! [SV10: $i] :
( ( ! [SY131: $i,SY132: $i,SY133: $i,SY134: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV10 @ SY131 ) ) @ ( middle @ SY132 ) @ ( bottom @ ( connect @ SY133 @ SY134 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SY132 @ SV10 ) @ ( connect @ SV10 @ SY131 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SY132 @ SY133 ) @ ( connect @ SY133 @ SY134 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(131,plain,
! [SV11: $i] :
( ( ! [SY135: $i,SY136: $i,SY137: $i,SY138: $i,SY139: $i,SY140: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SY135 @ SY136 ) ) ) @ ( middle @ SY137 ) @ ( bottom @ ( connect @ SY138 @ ( connect @ SY139 @ SY140 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SY135 ) @ SY136 ) ) @ ( middle @ SY137 ) @ ( bottom @ ( connect @ ( and @ SY138 @ SY139 ) @ SY140 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(132,plain,
! [SV12: $i] :
( ( ! [SY141: $i,SY142: $i,SY143: $i,SY144: $i,SY145: $i,SY146: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SY141 @ SY142 ) ) ) @ ( middle @ SY143 ) @ ( bottom @ ( connect @ SY144 @ ( connect @ SY145 @ SY146 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SY141 ) @ SY142 ) ) @ ( middle @ SY143 ) @ ( bottom @ ( connect @ ( or @ SY144 @ SY145 ) @ SY146 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(133,plain,
! [SV13: $i] :
( ( ! [SY147: $i,SY148: $i] :
( ~ ( circuit @ ( top @ SV13 ) @ ( middle @ SY147 ) @ ( bottom @ SY148 ) )
| ( circuit @ ( top @ SV13 ) @ ( middle @ ( not @ SY147 ) ) @ ( bottom @ SY148 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(134,plain,
! [SV14: $i] :
( ( ! [SY149: $i,SY150: $i,SY151: $i,SY152: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV14 @ SY149 ) ) @ ( middle @ SY150 ) @ ( bottom @ ( connect @ SY151 @ SY152 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SY149 ) ) @ ( middle @ SY150 ) @ ( bottom @ ( connect @ ( not @ SY151 ) @ SY152 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[106]) ).
thf(135,plain,
! [SV15: $i] :
( ( ! [SY153: $i,SY154: $i,SY155: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV15 @ SY153 ) ) @ nil @ ( bottom @ ( connect @ SY154 @ SY155 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV15 ) @ SY153 ) ) @ nil @ ( bottom @ ( connect @ ( not @ SY154 ) @ SY155 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(136,plain,
! [SV16: $i] :
( ( ! [SY156: $i] : ( circuit @ ( top @ SV16 ) @ SY156 @ ( bottom @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(137,plain,
! [SV17: $i] :
( ( ! [SY157: $i,SY158: $i,SY159: $i,SY160: $i,SY161: $i,SY162: $i,SY163: $i] :
( ( and @ ( table @ SV17 @ SY157 @ SY158 @ SY159 ) @ ( table @ SY160 @ SY161 @ SY162 @ SY163 ) )
= ( table @ ( and @ SV17 @ SY160 ) @ ( and @ SY157 @ SY161 ) @ ( and @ SY158 @ SY162 ) @ ( and @ SY159 @ SY163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(138,plain,
! [SV18: $i] :
( ( ( and @ nil @ SV18 )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(139,plain,
! [SV19: $i] :
( ( ! [SY164: $i,SY165: $i,SY166: $i,SY167: $i,SY168: $i,SY169: $i,SY170: $i] :
( ( or @ ( table @ SV19 @ SY164 @ SY165 @ SY166 ) @ ( table @ SY167 @ SY168 @ SY169 @ SY170 ) )
= ( table @ ( or @ SV19 @ SY167 ) @ ( or @ SY164 @ SY168 ) @ ( or @ SY165 @ SY169 ) @ ( or @ SY166 @ SY170 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(140,plain,
! [SV20: $i] :
( ( ( or @ nil @ SV20 )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(141,plain,
! [SV21: $i] :
( ( ! [SY171: $i,SY172: $i,SY173: $i] :
( ( not @ ( table @ SV21 @ SY171 @ SY172 @ SY173 ) )
= ( table @ ( not @ SV21 ) @ ( not @ SY171 ) @ ( not @ SY172 ) @ ( not @ SY173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(142,plain,
! [SV22: $i] :
( ( ( connect @ nil @ SV22 )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(143,plain,
! [SV23: $i] :
( ( ! [SY174: $i] :
( ( connect @ SV23 @ ( connect @ SV23 @ SY174 ) )
= ( connect @ SV23 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(144,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(145,plain,
! [SV24: $i,SV1: $i] :
( ( ! [SY175: $i,SY176: $i,SY177: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV1 @ SV24 ) ) @ ( middle @ SY175 ) @ ( bottom @ ( connect @ SY176 @ SY177 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SY175 @ SV1 ) @ SV24 ) ) @ ( middle @ SY175 ) @ ( bottom @ ( connect @ ( and @ SY175 @ SY176 ) @ SY177 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(146,plain,
! [SV25: $i,SV2: $i] :
( ( ! [SY178: $i,SY179: $i,SY180: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV2 @ SV25 ) ) @ ( middle @ SY178 ) @ ( bottom @ ( connect @ SY179 @ SY180 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SY178 @ SV2 ) @ SV25 ) ) @ ( middle @ SY178 ) @ ( bottom @ ( connect @ ( or @ SY178 @ SY179 ) @ SY180 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(147,plain,
! [SV26: $i,SV3: $i] :
( ( ! [SY181: $i,SY182: $i,SY183: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV3 @ SV26 ) ) @ ( middle @ SY181 ) @ ( bottom @ ( connect @ SY182 @ SY183 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SY181 @ SV3 ) @ SV26 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SY181 @ SY182 ) @ SY183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(148,plain,
! [SV27: $i,SV4: $i] :
( ( ! [SY184: $i,SY185: $i,SY186: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV4 @ SV27 ) ) @ ( middle @ SY184 ) @ ( bottom @ ( connect @ SY185 @ SY186 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SY184 @ SV4 ) @ SV27 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SY184 @ SY185 ) @ SY186 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(149,plain,
! [SV28: $i,SV5: $i] :
( ( ! [SY187: $i,SY188: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV5 @ SV28 ) ) @ nil @ ( bottom @ ( connect @ SY187 @ SY188 ) ) )
| ( circuit @ ( top @ SV28 ) @ ( middle @ ( and @ SV5 @ SY187 ) ) @ ( bottom @ SY188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(150,plain,
! [SV29: $i,SV6: $i] :
( ( ! [SY189: $i,SY190: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV6 @ SV29 ) ) @ nil @ ( bottom @ ( connect @ SY189 @ SY190 ) ) )
| ( circuit @ ( top @ SV29 ) @ ( middle @ ( or @ SV6 @ SY189 ) ) @ ( bottom @ SY190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(151,plain,
! [SV30: $i,SV7: $i] :
( ( ! [SY191: $i,SY192: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ nil @ ( bottom @ ( connect @ SY191 @ SY192 ) ) )
| ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ ( middle @ ( and @ SV7 @ SY191 ) ) @ ( bottom @ ( connect @ SY191 @ SY192 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(152,plain,
! [SV31: $i,SV8: $i] :
( ( ! [SY193: $i,SY194: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ nil @ ( bottom @ ( connect @ SY193 @ SY194 ) ) )
| ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ ( middle @ ( or @ SV8 @ SY193 ) ) @ ( bottom @ ( connect @ SY193 @ SY194 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(153,plain,
! [SV32: $i,SV9: $i] :
( ( ! [SY195: $i,SY196: $i,SY197: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV9 @ SV32 ) ) @ ( middle @ SY195 ) @ ( bottom @ ( connect @ SY196 @ SY197 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SY195 @ SV9 ) @ ( connect @ SV9 @ SV32 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SY195 @ SY196 ) @ ( connect @ SY196 @ SY197 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(154,plain,
! [SV33: $i,SV10: $i] :
( ( ! [SY198: $i,SY199: $i,SY200: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV10 @ SV33 ) ) @ ( middle @ SY198 ) @ ( bottom @ ( connect @ SY199 @ SY200 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SY198 @ SV10 ) @ ( connect @ SV10 @ SV33 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SY198 @ SY199 ) @ ( connect @ SY199 @ SY200 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(155,plain,
! [SV34: $i,SV11: $i] :
( ( ! [SY201: $i,SY202: $i,SY203: $i,SY204: $i,SY205: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SY201 ) ) ) @ ( middle @ SY202 ) @ ( bottom @ ( connect @ SY203 @ ( connect @ SY204 @ SY205 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SY201 ) ) @ ( middle @ SY202 ) @ ( bottom @ ( connect @ ( and @ SY203 @ SY204 ) @ SY205 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(156,plain,
! [SV35: $i,SV12: $i] :
( ( ! [SY206: $i,SY207: $i,SY208: $i,SY209: $i,SY210: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SY206 ) ) ) @ ( middle @ SY207 ) @ ( bottom @ ( connect @ SY208 @ ( connect @ SY209 @ SY210 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SY206 ) ) @ ( middle @ SY207 ) @ ( bottom @ ( connect @ ( or @ SY208 @ SY209 ) @ SY210 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(157,plain,
! [SV36: $i,SV13: $i] :
( ( ! [SY211: $i] :
( ~ ( circuit @ ( top @ SV13 ) @ ( middle @ SV36 ) @ ( bottom @ SY211 ) )
| ( circuit @ ( top @ SV13 ) @ ( middle @ ( not @ SV36 ) ) @ ( bottom @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(158,plain,
! [SV37: $i,SV14: $i] :
( ( ! [SY212: $i,SY213: $i,SY214: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV14 @ SV37 ) ) @ ( middle @ SY212 ) @ ( bottom @ ( connect @ SY213 @ SY214 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SV37 ) ) @ ( middle @ SY212 ) @ ( bottom @ ( connect @ ( not @ SY213 ) @ SY214 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(159,plain,
! [SV38: $i,SV15: $i] :
( ( ! [SY215: $i,SY216: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV15 @ SV38 ) ) @ nil @ ( bottom @ ( connect @ SY215 @ SY216 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV15 ) @ SV38 ) ) @ nil @ ( bottom @ ( connect @ ( not @ SY215 ) @ SY216 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(160,plain,
! [SV39: $i,SV16: $i] :
( ( circuit @ ( top @ SV16 ) @ SV39 @ ( bottom @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(161,plain,
! [SV40: $i,SV17: $i] :
( ( ! [SY217: $i,SY218: $i,SY219: $i,SY220: $i,SY221: $i,SY222: $i] :
( ( and @ ( table @ SV17 @ SV40 @ SY217 @ SY218 ) @ ( table @ SY219 @ SY220 @ SY221 @ SY222 ) )
= ( table @ ( and @ SV17 @ SY219 ) @ ( and @ SV40 @ SY220 ) @ ( and @ SY217 @ SY221 ) @ ( and @ SY218 @ SY222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(162,plain,
! [SV41: $i,SV19: $i] :
( ( ! [SY223: $i,SY224: $i,SY225: $i,SY226: $i,SY227: $i,SY228: $i] :
( ( or @ ( table @ SV19 @ SV41 @ SY223 @ SY224 ) @ ( table @ SY225 @ SY226 @ SY227 @ SY228 ) )
= ( table @ ( or @ SV19 @ SY225 ) @ ( or @ SV41 @ SY226 ) @ ( or @ SY223 @ SY227 ) @ ( or @ SY224 @ SY228 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(163,plain,
! [SV42: $i,SV21: $i] :
( ( ! [SY229: $i,SY230: $i] :
( ( not @ ( table @ SV21 @ SV42 @ SY229 @ SY230 ) )
= ( table @ ( not @ SV21 ) @ ( not @ SV42 ) @ ( not @ SY229 ) @ ( not @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(164,plain,
! [SV43: $i,SV23: $i] :
( ( ( connect @ SV23 @ ( connect @ SV23 @ SV43 ) )
= ( connect @ SV23 @ SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(165,plain,
! [SV44: $i,SV24: $i,SV1: $i] :
( ( ! [SY231: $i,SY232: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV1 @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ SY231 @ SY232 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV44 @ SV1 ) @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ ( and @ SV44 @ SY231 ) @ SY232 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(166,plain,
! [SV45: $i,SV25: $i,SV2: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV2 @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ SY233 @ SY234 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV45 @ SV2 ) @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ ( or @ SV45 @ SY233 ) @ SY234 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(167,plain,
! [SV46: $i,SV26: $i,SV3: $i] :
( ( ! [SY235: $i,SY236: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV3 @ SV26 ) ) @ ( middle @ SV46 ) @ ( bottom @ ( connect @ SY235 @ SY236 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV46 @ SV3 ) @ SV26 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV46 @ SY235 ) @ SY236 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(168,plain,
! [SV47: $i,SV27: $i,SV4: $i] :
( ( ! [SY237: $i,SY238: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV4 @ SV27 ) ) @ ( middle @ SV47 ) @ ( bottom @ ( connect @ SY237 @ SY238 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV47 @ SV4 ) @ SV27 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV47 @ SY237 ) @ SY238 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(169,plain,
! [SV48: $i,SV28: $i,SV5: $i] :
( ( ! [SY239: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV5 @ SV28 ) ) @ nil @ ( bottom @ ( connect @ SV48 @ SY239 ) ) )
| ( circuit @ ( top @ SV28 ) @ ( middle @ ( and @ SV5 @ SV48 ) ) @ ( bottom @ SY239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(170,plain,
! [SV49: $i,SV29: $i,SV6: $i] :
( ( ! [SY240: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV6 @ SV29 ) ) @ nil @ ( bottom @ ( connect @ SV49 @ SY240 ) ) )
| ( circuit @ ( top @ SV29 ) @ ( middle @ ( or @ SV6 @ SV49 ) ) @ ( bottom @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(171,plain,
! [SV50: $i,SV30: $i,SV7: $i] :
( ( ! [SY241: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ nil @ ( bottom @ ( connect @ SV50 @ SY241 ) ) )
| ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ ( middle @ ( and @ SV7 @ SV50 ) ) @ ( bottom @ ( connect @ SV50 @ SY241 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(172,plain,
! [SV51: $i,SV31: $i,SV8: $i] :
( ( ! [SY242: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ nil @ ( bottom @ ( connect @ SV51 @ SY242 ) ) )
| ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ ( middle @ ( or @ SV8 @ SV51 ) ) @ ( bottom @ ( connect @ SV51 @ SY242 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(173,plain,
! [SV52: $i,SV32: $i,SV9: $i] :
( ( ! [SY243: $i,SY244: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV9 @ SV32 ) ) @ ( middle @ SV52 ) @ ( bottom @ ( connect @ SY243 @ SY244 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV52 @ SV9 ) @ ( connect @ SV9 @ SV32 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV52 @ SY243 ) @ ( connect @ SY243 @ SY244 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(174,plain,
! [SV53: $i,SV33: $i,SV10: $i] :
( ( ! [SY245: $i,SY246: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV10 @ SV33 ) ) @ ( middle @ SV53 ) @ ( bottom @ ( connect @ SY245 @ SY246 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV53 @ SV10 ) @ ( connect @ SV10 @ SV33 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV53 @ SY245 ) @ ( connect @ SY245 @ SY246 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(175,plain,
! [SV54: $i,SV34: $i,SV11: $i] :
( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SY247 ) @ ( bottom @ ( connect @ SY248 @ ( connect @ SY249 @ SY250 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SY247 ) @ ( bottom @ ( connect @ ( and @ SY248 @ SY249 ) @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(176,plain,
! [SV55: $i,SV35: $i,SV12: $i] :
( ( ! [SY251: $i,SY252: $i,SY253: $i,SY254: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SY251 ) @ ( bottom @ ( connect @ SY252 @ ( connect @ SY253 @ SY254 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SY251 ) @ ( bottom @ ( connect @ ( or @ SY252 @ SY253 ) @ SY254 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(177,plain,
! [SV56: $i,SV36: $i,SV13: $i] :
( ( ~ ( circuit @ ( top @ SV13 ) @ ( middle @ SV36 ) @ ( bottom @ SV56 ) )
| ( circuit @ ( top @ SV13 ) @ ( middle @ ( not @ SV36 ) ) @ ( bottom @ SV56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(178,plain,
! [SV57: $i,SV37: $i,SV14: $i] :
( ( ! [SY255: $i,SY256: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV14 @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ SY255 @ SY256 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ ( not @ SY255 ) @ SY256 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(179,plain,
! [SV58: $i,SV38: $i,SV15: $i] :
( ( ! [SY257: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV15 @ SV38 ) ) @ nil @ ( bottom @ ( connect @ SV58 @ SY257 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV15 ) @ SV38 ) ) @ nil @ ( bottom @ ( connect @ ( not @ SV58 ) @ SY257 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(180,plain,
! [SV59: $i,SV40: $i,SV17: $i] :
( ( ! [SY258: $i,SY259: $i,SY260: $i,SY261: $i,SY262: $i] :
( ( and @ ( table @ SV17 @ SV40 @ SV59 @ SY258 ) @ ( table @ SY259 @ SY260 @ SY261 @ SY262 ) )
= ( table @ ( and @ SV17 @ SY259 ) @ ( and @ SV40 @ SY260 ) @ ( and @ SV59 @ SY261 ) @ ( and @ SY258 @ SY262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(181,plain,
! [SV60: $i,SV41: $i,SV19: $i] :
( ( ! [SY263: $i,SY264: $i,SY265: $i,SY266: $i,SY267: $i] :
( ( or @ ( table @ SV19 @ SV41 @ SV60 @ SY263 ) @ ( table @ SY264 @ SY265 @ SY266 @ SY267 ) )
= ( table @ ( or @ SV19 @ SY264 ) @ ( or @ SV41 @ SY265 ) @ ( or @ SV60 @ SY266 ) @ ( or @ SY263 @ SY267 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(182,plain,
! [SV61: $i,SV42: $i,SV21: $i] :
( ( ! [SY268: $i] :
( ( not @ ( table @ SV21 @ SV42 @ SV61 @ SY268 ) )
= ( table @ ( not @ SV21 ) @ ( not @ SV42 ) @ ( not @ SV61 ) @ ( not @ SY268 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(183,plain,
! [SV62: $i,SV44: $i,SV24: $i,SV1: $i] :
( ( ! [SY269: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV1 @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ SV62 @ SY269 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV44 @ SV1 ) @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ ( and @ SV44 @ SV62 ) @ SY269 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(184,plain,
! [SV63: $i,SV45: $i,SV25: $i,SV2: $i] :
( ( ! [SY270: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV2 @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ SV63 @ SY270 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV45 @ SV2 ) @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ ( or @ SV45 @ SV63 ) @ SY270 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(185,plain,
! [SV64: $i,SV46: $i,SV26: $i,SV3: $i] :
( ( ! [SY271: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV3 @ SV26 ) ) @ ( middle @ SV46 ) @ ( bottom @ ( connect @ SV64 @ SY271 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV46 @ SV3 ) @ SV26 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV46 @ SV64 ) @ SY271 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(186,plain,
! [SV65: $i,SV47: $i,SV27: $i,SV4: $i] :
( ( ! [SY272: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV4 @ SV27 ) ) @ ( middle @ SV47 ) @ ( bottom @ ( connect @ SV65 @ SY272 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV47 @ SV4 ) @ SV27 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV47 @ SV65 ) @ SY272 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(187,plain,
! [SV66: $i,SV48: $i,SV28: $i,SV5: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV5 @ SV28 ) ) @ nil @ ( bottom @ ( connect @ SV48 @ SV66 ) ) )
| ( circuit @ ( top @ SV28 ) @ ( middle @ ( and @ SV5 @ SV48 ) ) @ ( bottom @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(188,plain,
! [SV67: $i,SV49: $i,SV29: $i,SV6: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV6 @ SV29 ) ) @ nil @ ( bottom @ ( connect @ SV49 @ SV67 ) ) )
| ( circuit @ ( top @ SV29 ) @ ( middle @ ( or @ SV6 @ SV49 ) ) @ ( bottom @ SV67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(189,plain,
! [SV68: $i,SV50: $i,SV30: $i,SV7: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ nil @ ( bottom @ ( connect @ SV50 @ SV68 ) ) )
| ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ ( middle @ ( and @ SV7 @ SV50 ) ) @ ( bottom @ ( connect @ SV50 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(190,plain,
! [SV69: $i,SV51: $i,SV31: $i,SV8: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ nil @ ( bottom @ ( connect @ SV51 @ SV69 ) ) )
| ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ ( middle @ ( or @ SV8 @ SV51 ) ) @ ( bottom @ ( connect @ SV51 @ SV69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(191,plain,
! [SV70: $i,SV52: $i,SV32: $i,SV9: $i] :
( ( ! [SY273: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV9 @ SV32 ) ) @ ( middle @ SV52 ) @ ( bottom @ ( connect @ SV70 @ SY273 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV52 @ SV9 ) @ ( connect @ SV9 @ SV32 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV52 @ SV70 ) @ ( connect @ SV70 @ SY273 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(192,plain,
! [SV71: $i,SV53: $i,SV33: $i,SV10: $i] :
( ( ! [SY274: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV10 @ SV33 ) ) @ ( middle @ SV53 ) @ ( bottom @ ( connect @ SV71 @ SY274 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV53 @ SV10 ) @ ( connect @ SV10 @ SV33 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV53 @ SV71 ) @ ( connect @ SV71 @ SY274 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(193,plain,
! [SV72: $i,SV54: $i,SV34: $i,SV11: $i] :
( ( ! [SY275: $i,SY276: $i,SY277: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ SY275 @ ( connect @ SY276 @ SY277 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ ( and @ SY275 @ SY276 ) @ SY277 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(194,plain,
! [SV73: $i,SV55: $i,SV35: $i,SV12: $i] :
( ( ! [SY278: $i,SY279: $i,SY280: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ SY278 @ ( connect @ SY279 @ SY280 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ ( or @ SY278 @ SY279 ) @ SY280 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(195,plain,
! [SV56: $i,SV36: $i,SV13: $i] :
( ( ( ~ ( circuit @ ( top @ SV13 ) @ ( middle @ SV36 ) @ ( bottom @ SV56 ) ) )
= $true )
| ( ( circuit @ ( top @ SV13 ) @ ( middle @ ( not @ SV36 ) ) @ ( bottom @ SV56 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(196,plain,
! [SV74: $i,SV57: $i,SV37: $i,SV14: $i] :
( ( ! [SY281: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV14 @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ SV74 @ SY281 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ ( not @ SV74 ) @ SY281 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(197,plain,
! [SV75: $i,SV58: $i,SV38: $i,SV15: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV15 @ SV38 ) ) @ nil @ ( bottom @ ( connect @ SV58 @ SV75 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV15 ) @ SV38 ) ) @ nil @ ( bottom @ ( connect @ ( not @ SV58 ) @ SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(198,plain,
! [SV76: $i,SV59: $i,SV40: $i,SV17: $i] :
( ( ! [SY282: $i,SY283: $i,SY284: $i,SY285: $i] :
( ( and @ ( table @ SV17 @ SV40 @ SV59 @ SV76 ) @ ( table @ SY282 @ SY283 @ SY284 @ SY285 ) )
= ( table @ ( and @ SV17 @ SY282 ) @ ( and @ SV40 @ SY283 ) @ ( and @ SV59 @ SY284 ) @ ( and @ SV76 @ SY285 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(199,plain,
! [SV77: $i,SV60: $i,SV41: $i,SV19: $i] :
( ( ! [SY286: $i,SY287: $i,SY288: $i,SY289: $i] :
( ( or @ ( table @ SV19 @ SV41 @ SV60 @ SV77 ) @ ( table @ SY286 @ SY287 @ SY288 @ SY289 ) )
= ( table @ ( or @ SV19 @ SY286 ) @ ( or @ SV41 @ SY287 ) @ ( or @ SV60 @ SY288 ) @ ( or @ SV77 @ SY289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(200,plain,
! [SV78: $i,SV61: $i,SV42: $i,SV21: $i] :
( ( ( not @ ( table @ SV21 @ SV42 @ SV61 @ SV78 ) )
= ( table @ ( not @ SV21 ) @ ( not @ SV42 ) @ ( not @ SV61 ) @ ( not @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(201,plain,
! [SV79: $i,SV62: $i,SV44: $i,SV24: $i,SV1: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV1 @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ SV62 @ SV79 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV44 @ SV1 ) @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ ( and @ SV44 @ SV62 ) @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(202,plain,
! [SV80: $i,SV63: $i,SV45: $i,SV25: $i,SV2: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV2 @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ SV63 @ SV80 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV45 @ SV2 ) @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ ( or @ SV45 @ SV63 ) @ SV80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(203,plain,
! [SV81: $i,SV64: $i,SV46: $i,SV26: $i,SV3: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV3 @ SV26 ) ) @ ( middle @ SV46 ) @ ( bottom @ ( connect @ SV64 @ SV81 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV46 @ SV3 ) @ SV26 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV46 @ SV64 ) @ SV81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(204,plain,
! [SV82: $i,SV65: $i,SV47: $i,SV27: $i,SV4: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV4 @ SV27 ) ) @ ( middle @ SV47 ) @ ( bottom @ ( connect @ SV65 @ SV82 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV47 @ SV4 ) @ SV27 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV47 @ SV65 ) @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(205,plain,
! [SV66: $i,SV48: $i,SV28: $i,SV5: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV5 @ SV28 ) ) @ nil @ ( bottom @ ( connect @ SV48 @ SV66 ) ) ) )
= $true )
| ( ( circuit @ ( top @ SV28 ) @ ( middle @ ( and @ SV5 @ SV48 ) ) @ ( bottom @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[187]) ).
thf(206,plain,
! [SV67: $i,SV49: $i,SV29: $i,SV6: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV6 @ SV29 ) ) @ nil @ ( bottom @ ( connect @ SV49 @ SV67 ) ) ) )
= $true )
| ( ( circuit @ ( top @ SV29 ) @ ( middle @ ( or @ SV6 @ SV49 ) ) @ ( bottom @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[188]) ).
thf(207,plain,
! [SV68: $i,SV50: $i,SV30: $i,SV7: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ nil @ ( bottom @ ( connect @ SV50 @ SV68 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ ( middle @ ( and @ SV7 @ SV50 ) ) @ ( bottom @ ( connect @ SV50 @ SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[189]) ).
thf(208,plain,
! [SV69: $i,SV51: $i,SV31: $i,SV8: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ nil @ ( bottom @ ( connect @ SV51 @ SV69 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ ( middle @ ( or @ SV8 @ SV51 ) ) @ ( bottom @ ( connect @ SV51 @ SV69 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(209,plain,
! [SV83: $i,SV70: $i,SV52: $i,SV32: $i,SV9: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV9 @ SV32 ) ) @ ( middle @ SV52 ) @ ( bottom @ ( connect @ SV70 @ SV83 ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV52 @ SV9 ) @ ( connect @ SV9 @ SV32 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV52 @ SV70 ) @ ( connect @ SV70 @ SV83 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(210,plain,
! [SV84: $i,SV71: $i,SV53: $i,SV33: $i,SV10: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV10 @ SV33 ) ) @ ( middle @ SV53 ) @ ( bottom @ ( connect @ SV71 @ SV84 ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV53 @ SV10 ) @ ( connect @ SV10 @ SV33 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV53 @ SV71 ) @ ( connect @ SV71 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(211,plain,
! [SV85: $i,SV72: $i,SV54: $i,SV34: $i,SV11: $i] :
( ( ! [SY290: $i,SY291: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ SV85 @ ( connect @ SY290 @ SY291 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ ( and @ SV85 @ SY290 ) @ SY291 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(212,plain,
! [SV86: $i,SV73: $i,SV55: $i,SV35: $i,SV12: $i] :
( ( ! [SY292: $i,SY293: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ SV86 @ ( connect @ SY292 @ SY293 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ ( or @ SV86 @ SY292 ) @ SY293 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(213,plain,
! [SV56: $i,SV36: $i,SV13: $i] :
( ( ( circuit @ ( top @ SV13 ) @ ( middle @ SV36 ) @ ( bottom @ SV56 ) )
= $false )
| ( ( circuit @ ( top @ SV13 ) @ ( middle @ ( not @ SV36 ) ) @ ( bottom @ SV56 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(214,plain,
! [SV87: $i,SV74: $i,SV57: $i,SV37: $i,SV14: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV14 @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ SV74 @ SV87 ) ) )
| ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ ( not @ SV74 ) @ SV87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(215,plain,
! [SV75: $i,SV58: $i,SV38: $i,SV15: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV15 @ SV38 ) ) @ nil @ ( bottom @ ( connect @ SV58 @ SV75 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( not @ SV15 ) @ SV38 ) ) @ nil @ ( bottom @ ( connect @ ( not @ SV58 ) @ SV75 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(216,plain,
! [SV88: $i,SV76: $i,SV59: $i,SV40: $i,SV17: $i] :
( ( ! [SY294: $i,SY295: $i,SY296: $i] :
( ( and @ ( table @ SV17 @ SV40 @ SV59 @ SV76 ) @ ( table @ SV88 @ SY294 @ SY295 @ SY296 ) )
= ( table @ ( and @ SV17 @ SV88 ) @ ( and @ SV40 @ SY294 ) @ ( and @ SV59 @ SY295 ) @ ( and @ SV76 @ SY296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(217,plain,
! [SV89: $i,SV77: $i,SV60: $i,SV41: $i,SV19: $i] :
( ( ! [SY297: $i,SY298: $i,SY299: $i] :
( ( or @ ( table @ SV19 @ SV41 @ SV60 @ SV77 ) @ ( table @ SV89 @ SY297 @ SY298 @ SY299 ) )
= ( table @ ( or @ SV19 @ SV89 ) @ ( or @ SV41 @ SY297 ) @ ( or @ SV60 @ SY298 ) @ ( or @ SV77 @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(218,plain,
! [SV79: $i,SV62: $i,SV44: $i,SV24: $i,SV1: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV1 @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ SV62 @ SV79 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV44 @ SV1 ) @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ ( and @ SV44 @ SV62 ) @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(219,plain,
! [SV80: $i,SV63: $i,SV45: $i,SV25: $i,SV2: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV2 @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ SV63 @ SV80 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV45 @ SV2 ) @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ ( or @ SV45 @ SV63 ) @ SV80 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV81: $i,SV64: $i,SV46: $i,SV26: $i,SV3: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV3 @ SV26 ) ) @ ( middle @ SV46 ) @ ( bottom @ ( connect @ SV64 @ SV81 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV46 @ SV3 ) @ SV26 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV46 @ SV64 ) @ SV81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(221,plain,
! [SV82: $i,SV65: $i,SV47: $i,SV27: $i,SV4: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV4 @ SV27 ) ) @ ( middle @ SV47 ) @ ( bottom @ ( connect @ SV65 @ SV82 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV47 @ SV4 ) @ SV27 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV47 @ SV65 ) @ SV82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(222,plain,
! [SV66: $i,SV48: $i,SV28: $i,SV5: $i] :
( ( ( circuit @ ( top @ ( connect @ SV5 @ SV28 ) ) @ nil @ ( bottom @ ( connect @ SV48 @ SV66 ) ) )
= $false )
| ( ( circuit @ ( top @ SV28 ) @ ( middle @ ( and @ SV5 @ SV48 ) ) @ ( bottom @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(223,plain,
! [SV67: $i,SV49: $i,SV29: $i,SV6: $i] :
( ( ( circuit @ ( top @ ( connect @ SV6 @ SV29 ) ) @ nil @ ( bottom @ ( connect @ SV49 @ SV67 ) ) )
= $false )
| ( ( circuit @ ( top @ SV29 ) @ ( middle @ ( or @ SV6 @ SV49 ) ) @ ( bottom @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(224,plain,
! [SV68: $i,SV50: $i,SV30: $i,SV7: $i] :
( ( ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ nil @ ( bottom @ ( connect @ SV50 @ SV68 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ SV7 @ SV30 ) ) @ ( middle @ ( and @ SV7 @ SV50 ) ) @ ( bottom @ ( connect @ SV50 @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(225,plain,
! [SV69: $i,SV51: $i,SV31: $i,SV8: $i] :
( ( ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ nil @ ( bottom @ ( connect @ SV51 @ SV69 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ SV8 @ SV31 ) ) @ ( middle @ ( or @ SV8 @ SV51 ) ) @ ( bottom @ ( connect @ SV51 @ SV69 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(226,plain,
! [SV83: $i,SV70: $i,SV52: $i,SV32: $i,SV9: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV9 @ SV32 ) ) @ ( middle @ SV52 ) @ ( bottom @ ( connect @ SV70 @ SV83 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV52 @ SV9 ) @ ( connect @ SV9 @ SV32 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV52 @ SV70 ) @ ( connect @ SV70 @ SV83 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(227,plain,
! [SV84: $i,SV71: $i,SV53: $i,SV33: $i,SV10: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV10 @ SV33 ) ) @ ( middle @ SV53 ) @ ( bottom @ ( connect @ SV71 @ SV84 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV53 @ SV10 ) @ ( connect @ SV10 @ SV33 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV53 @ SV71 ) @ ( connect @ SV71 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(228,plain,
! [SV90: $i,SV85: $i,SV72: $i,SV54: $i,SV34: $i,SV11: $i] :
( ( ! [SY300: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ SV85 @ ( connect @ SV90 @ SY300 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ ( and @ SV85 @ SV90 ) @ SY300 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(229,plain,
! [SV91: $i,SV86: $i,SV73: $i,SV55: $i,SV35: $i,SV12: $i] :
( ( ! [SY301: $i] :
( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ SV86 @ ( connect @ SV91 @ SY301 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ ( or @ SV86 @ SV91 ) @ SY301 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(230,plain,
! [SV87: $i,SV74: $i,SV57: $i,SV37: $i,SV14: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV14 @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ SV74 @ SV87 ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ ( not @ SV74 ) @ SV87 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(231,plain,
! [SV75: $i,SV58: $i,SV38: $i,SV15: $i] :
( ( ( circuit @ ( top @ ( connect @ SV15 @ SV38 ) ) @ nil @ ( bottom @ ( connect @ SV58 @ SV75 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( not @ SV15 ) @ SV38 ) ) @ nil @ ( bottom @ ( connect @ ( not @ SV58 ) @ SV75 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(232,plain,
! [SV92: $i,SV88: $i,SV76: $i,SV59: $i,SV40: $i,SV17: $i] :
( ( ! [SY302: $i,SY303: $i] :
( ( and @ ( table @ SV17 @ SV40 @ SV59 @ SV76 ) @ ( table @ SV88 @ SV92 @ SY302 @ SY303 ) )
= ( table @ ( and @ SV17 @ SV88 ) @ ( and @ SV40 @ SV92 ) @ ( and @ SV59 @ SY302 ) @ ( and @ SV76 @ SY303 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(233,plain,
! [SV93: $i,SV89: $i,SV77: $i,SV60: $i,SV41: $i,SV19: $i] :
( ( ! [SY304: $i,SY305: $i] :
( ( or @ ( table @ SV19 @ SV41 @ SV60 @ SV77 ) @ ( table @ SV89 @ SV93 @ SY304 @ SY305 ) )
= ( table @ ( or @ SV19 @ SV89 ) @ ( or @ SV41 @ SV93 ) @ ( or @ SV60 @ SY304 ) @ ( or @ SV77 @ SY305 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(234,plain,
! [SV79: $i,SV62: $i,SV44: $i,SV24: $i,SV1: $i] :
( ( ( circuit @ ( top @ ( connect @ SV1 @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ SV62 @ SV79 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV44 @ SV1 ) @ SV24 ) ) @ ( middle @ SV44 ) @ ( bottom @ ( connect @ ( and @ SV44 @ SV62 ) @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(235,plain,
! [SV80: $i,SV63: $i,SV45: $i,SV25: $i,SV2: $i] :
( ( ( circuit @ ( top @ ( connect @ SV2 @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ SV63 @ SV80 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV45 @ SV2 ) @ SV25 ) ) @ ( middle @ SV45 ) @ ( bottom @ ( connect @ ( or @ SV45 @ SV63 ) @ SV80 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(236,plain,
! [SV81: $i,SV64: $i,SV46: $i,SV26: $i,SV3: $i] :
( ( ( circuit @ ( top @ ( connect @ SV3 @ SV26 ) ) @ ( middle @ SV46 ) @ ( bottom @ ( connect @ SV64 @ SV81 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV46 @ SV3 ) @ SV26 ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV46 @ SV64 ) @ SV81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(237,plain,
! [SV82: $i,SV65: $i,SV47: $i,SV27: $i,SV4: $i] :
( ( ( circuit @ ( top @ ( connect @ SV4 @ SV27 ) ) @ ( middle @ SV47 ) @ ( bottom @ ( connect @ SV65 @ SV82 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV47 @ SV4 ) @ SV27 ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV47 @ SV65 ) @ SV82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(238,plain,
! [SV83: $i,SV70: $i,SV52: $i,SV32: $i,SV9: $i] :
( ( ( circuit @ ( top @ ( connect @ SV9 @ SV32 ) ) @ ( middle @ SV52 ) @ ( bottom @ ( connect @ SV70 @ SV83 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV52 @ SV9 ) @ ( connect @ SV9 @ SV32 ) ) ) @ nil @ ( bottom @ ( connect @ ( and @ SV52 @ SV70 ) @ ( connect @ SV70 @ SV83 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(239,plain,
! [SV84: $i,SV71: $i,SV53: $i,SV33: $i,SV10: $i] :
( ( ( circuit @ ( top @ ( connect @ SV10 @ SV33 ) ) @ ( middle @ SV53 ) @ ( bottom @ ( connect @ SV71 @ SV84 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV53 @ SV10 ) @ ( connect @ SV10 @ SV33 ) ) ) @ nil @ ( bottom @ ( connect @ ( or @ SV53 @ SV71 ) @ ( connect @ SV71 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(240,plain,
! [SV94: $i,SV90: $i,SV85: $i,SV72: $i,SV54: $i,SV34: $i,SV11: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ SV85 @ ( connect @ SV90 @ SV94 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ ( and @ SV85 @ SV90 ) @ SV94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(241,plain,
! [SV95: $i,SV91: $i,SV86: $i,SV73: $i,SV55: $i,SV35: $i,SV12: $i] :
( ( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ SV86 @ ( connect @ SV91 @ SV95 ) ) ) )
| ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ ( or @ SV86 @ SV91 ) @ SV95 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(242,plain,
! [SV87: $i,SV74: $i,SV57: $i,SV37: $i,SV14: $i] :
( ( ( circuit @ ( top @ ( connect @ SV14 @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ SV74 @ SV87 ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( not @ SV14 ) @ SV37 ) ) @ ( middle @ SV57 ) @ ( bottom @ ( connect @ ( not @ SV74 ) @ SV87 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(243,plain,
! [SV96: $i,SV92: $i,SV88: $i,SV76: $i,SV59: $i,SV40: $i,SV17: $i] :
( ( ! [SY306: $i] :
( ( and @ ( table @ SV17 @ SV40 @ SV59 @ SV76 ) @ ( table @ SV88 @ SV92 @ SV96 @ SY306 ) )
= ( table @ ( and @ SV17 @ SV88 ) @ ( and @ SV40 @ SV92 ) @ ( and @ SV59 @ SV96 ) @ ( and @ SV76 @ SY306 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(244,plain,
! [SV97: $i,SV93: $i,SV89: $i,SV77: $i,SV60: $i,SV41: $i,SV19: $i] :
( ( ! [SY307: $i] :
( ( or @ ( table @ SV19 @ SV41 @ SV60 @ SV77 ) @ ( table @ SV89 @ SV93 @ SV97 @ SY307 ) )
= ( table @ ( or @ SV19 @ SV89 ) @ ( or @ SV41 @ SV93 ) @ ( or @ SV60 @ SV97 ) @ ( or @ SV77 @ SY307 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(245,plain,
! [SV94: $i,SV90: $i,SV85: $i,SV72: $i,SV54: $i,SV34: $i,SV11: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ SV85 @ ( connect @ SV90 @ SV94 ) ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ ( and @ SV85 @ SV90 ) @ SV94 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(246,plain,
! [SV95: $i,SV91: $i,SV86: $i,SV73: $i,SV55: $i,SV35: $i,SV12: $i] :
( ( ( ~ ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ SV86 @ ( connect @ SV91 @ SV95 ) ) ) ) )
= $true )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ ( or @ SV86 @ SV91 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(247,plain,
! [SV98: $i,SV96: $i,SV92: $i,SV88: $i,SV76: $i,SV59: $i,SV40: $i,SV17: $i] :
( ( ( and @ ( table @ SV17 @ SV40 @ SV59 @ SV76 ) @ ( table @ SV88 @ SV92 @ SV96 @ SV98 ) )
= ( table @ ( and @ SV17 @ SV88 ) @ ( and @ SV40 @ SV92 ) @ ( and @ SV59 @ SV96 ) @ ( and @ SV76 @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV99: $i,SV97: $i,SV93: $i,SV89: $i,SV77: $i,SV60: $i,SV41: $i,SV19: $i] :
( ( ( or @ ( table @ SV19 @ SV41 @ SV60 @ SV77 ) @ ( table @ SV89 @ SV93 @ SV97 @ SV99 ) )
= ( table @ ( or @ SV19 @ SV89 ) @ ( or @ SV41 @ SV93 ) @ ( or @ SV60 @ SV97 ) @ ( or @ SV77 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(249,plain,
! [SV94: $i,SV90: $i,SV85: $i,SV72: $i,SV54: $i,SV34: $i,SV11: $i] :
( ( ( circuit @ ( top @ ( connect @ SV11 @ ( connect @ SV34 @ SV54 ) ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ SV85 @ ( connect @ SV90 @ SV94 ) ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( and @ SV11 @ SV34 ) @ SV54 ) ) @ ( middle @ SV72 ) @ ( bottom @ ( connect @ ( and @ SV85 @ SV90 ) @ SV94 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(250,plain,
! [SV95: $i,SV91: $i,SV86: $i,SV73: $i,SV55: $i,SV35: $i,SV12: $i] :
( ( ( circuit @ ( top @ ( connect @ SV12 @ ( connect @ SV35 @ SV55 ) ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ SV86 @ ( connect @ SV91 @ SV95 ) ) ) )
= $false )
| ( ( circuit @ ( top @ ( connect @ ( or @ SV12 @ SV35 ) @ SV55 ) ) @ ( middle @ SV73 ) @ ( bottom @ ( connect @ ( or @ SV86 @ SV91 ) @ SV95 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(251,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[82,250,249,248,247,242,239,238,237,236,235,234,231,225,224,223,222,213,200,164,160,144,142,140,138,120,116,115,114,92,91,90,89,88,87,86,85,84,83]) ).
thf(252,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : HWC002-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n028.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 : Thu Jun 9 12:53:34 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.43
% 0.19/0.43 No.of.Axioms: 38
% 0.19/0.43
% 0.19/0.43 Length.of.Defs: 0
% 0.19/0.43
% 0.19/0.43 Contains.Choice.Funs: false
% 0.19/0.46 .
% 0.19/0.50 (rf:0,axioms:38,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:40,loop_count:0,foatp_calls:0,translation:fof_full)................
% 9.14/9.31
% 9.14/9.31 ********************************
% 9.14/9.31 * All subproblems solved! *
% 9.14/9.31 ********************************
% 9.14/9.31 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:38,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:251,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.14/9.34
% 9.14/9.34 %**** Beginning of derivation protocol ****
% 9.14/9.34 % SZS output start CNFRefutation
% See solution above
% 9.14/9.34
% 9.14/9.34 %**** End of derivation protocol ****
% 9.14/9.34 %**** no. of clauses in derivation: 252 ****
% 9.14/9.34 %**** clause counter: 251 ****
% 9.14/9.34
% 9.14/9.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:38,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:251,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------