%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : HWV008-2.002 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:22:10 AM UTC 2026
% Result : Unsatisfiable 8.25s 1.62s
% Output : CNFRefutation 8.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 75
% Syntax : Number of formulae : 479 ( 240 unt; 0 typ; 0 def)
% Number of atoms : 2413 ( 635 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 3431 ( 514 ~; 664 |; 0 &;2253 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 33 usr; 3 con; 0-2 aty)
% Number of variables : 468 ( 0 ^; 468 !; 0 ?; 468 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_abnormal,type,
abnormal: $i > $o ).
thf(tp_and1,type,
and1: $i > $i ).
thf(tp_and2,type,
and2: $i > $i ).
thf(tp_and_ok,type,
and_ok: $i > $o ).
thf(tp_connection,type,
connection: $i > $i > $o ).
thf(tp_f1,type,
f1: $i > $i ).
thf(tp_f2,type,
f2: $i > $i ).
thf(tp_fulladder,type,
fulladder: $i > $o ).
thf(tp_h1,type,
h1: $i > $i ).
thf(tp_h2,type,
h2: $i > $i ).
thf(tp_halfadder,type,
halfadder: $i > $o ).
thf(tp_in1,type,
in1: $i > $i ).
thf(tp_in2,type,
in2: $i > $i ).
thf(tp_ina1,type,
ina1: $i > $i ).
thf(tp_ina2,type,
ina2: $i > $i ).
thf(tp_inb1,type,
inb1: $i > $i ).
thf(tp_inb2,type,
inb2: $i > $i ).
thf(tp_inc,type,
inc: $i > $i ).
thf(tp_logic_and,type,
logic_and: $i > $o ).
thf(tp_logic_not,type,
logic_not: $i > $o ).
thf(tp_logic_or,type,
logic_or: $i > $o ).
thf(tp_nbit_adder2,type,
nbit_adder2: $i > $o ).
thf(tp_not1,type,
not1: $i > $i ).
thf(tp_not_ok,type,
not_ok: $i > $o ).
thf(tp_one,type,
one: $i > $o ).
thf(tp_or1,type,
or1: $i > $i ).
thf(tp_or_ok,type,
or_ok: $i > $o ).
thf(tp_out1,type,
out1: $i > $i ).
thf(tp_out2,type,
out2: $i > $i ).
thf(tp_outc,type,
outc: $i > $i ).
thf(tp_outs,type,
outs: $i > $i ).
thf(tp_zero,type,
zero: $i > $o ).
thf(1,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inc @ X ) @ ( inc @ ( f1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inc_incf2) ).
thf(2,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( outc @ ( f1 @ X ) ) @ ( inc @ ( f2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inc_incf1) ).
thf(3,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inb2 @ X ) @ ( in2 @ ( f2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).
thf(4,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( ina2 @ X ) @ ( in1 @ ( f2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).
thf(5,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inb1 @ X ) @ ( in2 @ ( f1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb1_in2f1) ).
thf(6,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( ina1 @ X ) @ ( in1 @ ( f1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1f1) ).
thf(7,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( outc @ X ) @ ( outc @ ( f2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
thf(8,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( out2 @ X ) @ ( out1 @ ( f2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_out2_out1f2) ).
thf(9,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( out1 @ X ) @ ( out1 @ ( f1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_out1_out1f1) ).
thf(10,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( fulladder @ ( f2 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).
thf(11,axiom,
! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( fulladder @ ( f1 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder1) ).
thf(12,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ X ) @ ( out1 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
thf(13,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outs @ X ) @ ( outs @ ( h2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
thf(14,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( inc @ X ) @ ( in2 @ ( h1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
thf(15,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( in2 @ X ) @ ( in1 @ ( h1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
thf(16,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( h2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
thf(17,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ ( h2 @ X ) ) @ ( in1 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
thf(18,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ ( h1 @ X ) ) @ ( in2 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
thf(19,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outs @ ( h1 @ X ) ) @ ( in2 @ ( h2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
thf(20,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( logic_or @ ( or1 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_or1) ).
thf(21,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( halfadder @ ( h2 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder2) ).
thf(22,axiom,
! [X: $i] :
( ~ ( fulladder @ X )
| ( halfadder @ ( h1 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder1) ).
thf(23,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( not1 @ X ) ) @ ( in2 @ ( and1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
thf(24,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( and2 @ X ) ) @ ( in1 @ ( not1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
thf(25,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( or1 @ X ) ) @ ( in1 @ ( and1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
thf(26,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( outc @ X ) @ ( out1 @ ( and2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
thf(27,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( outs @ X ) @ ( out1 @ ( and1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
thf(28,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in2 @ X ) @ ( in2 @ ( and2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
thf(29,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( and2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
thf(30,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in2 @ X ) @ ( in2 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
thf(31,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
thf(32,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_or @ ( or1 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).
thf(33,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_not @ ( not1 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).
thf(34,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_and @ ( and2 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
thf(35,axiom,
! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_and @ ( and1 @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).
thf(36,axiom,
! [K: $i] :
( ~ ( logic_not @ K )
| ( not_ok @ K )
| ( abnormal @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_ok_or_abnormal) ).
thf(37,axiom,
! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( abnormal @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not__not_ok_and_abnormal) ).
thf(38,axiom,
! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_bw) ).
thf(39,axiom,
! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_bw) ).
thf(40,axiom,
! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ( zero @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_fw) ).
thf(41,axiom,
! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ( one @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).
thf(42,axiom,
! [K: $i] :
( ~ ( logic_or @ K )
| ( or_ok @ K )
| ( abnormal @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_ok_or_abnormal) ).
thf(43,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( abnormal @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_or_ok_and_abnormal) ).
thf(44,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in2 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_0_01) ).
thf(45,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_0_0x) ).
thf(46,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) )
| ( one @ ( in2 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1_11) ).
thf(47,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ~ ( zero @ ( in2 @ K ) )
| ( zero @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_00_0) ).
thf(48,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( in2 @ K ) )
| ( one @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_x1_1) ).
thf(49,axiom,
! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ( one @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).
thf(50,axiom,
! [K: $i] :
( ~ ( logic_and @ K )
| ( and_ok @ K )
| ( abnormal @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_ok_or_abnormal) ).
thf(51,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( abnormal @ K ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_and_ok_and_abnormal) ).
thf(52,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in2 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_x1) ).
thf(53,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_1x) ).
thf(54,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) )
| ( zero @ ( in2 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0_00) ).
thf(55,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ~ ( one @ ( in2 @ K ) )
| ( one @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).
thf(56,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( in2 @ K ) )
| ( zero @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_x0_0) ).
thf(57,axiom,
! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ( zero @ ( out1 @ K ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0x_0) ).
thf(58,axiom,
! [P: $i] :
( ~ ( zero @ P )
| ~ ( one @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
thf(59,axiom,
! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( one @ P2 )
| ( one @ P1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one2) ).
thf(60,axiom,
! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( zero @ P2 )
| ( zero @ P1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero2) ).
thf(61,axiom,
! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( one @ P1 )
| ( one @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_one1) ).
thf(62,axiom,
! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( zero @ P1 )
| ( zero @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation_zero1) ).
thf(63,axiom,
one @ ( outc @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_1) ).
thf(64,axiom,
zero @ ( out2 @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',out2_0) ).
thf(65,axiom,
zero @ ( out1 @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',out1_0) ).
thf(66,axiom,
zero @ ( inc @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_0) ).
thf(67,axiom,
zero @ ( inb2 @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb2_0) ).
thf(68,axiom,
zero @ ( inb1 @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb1_0) ).
thf(69,axiom,
zero @ ( ina2 @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina2_0) ).
thf(70,axiom,
zero @ ( ina1 @ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina1_0) ).
thf(71,axiom,
nbit_adder2 @ a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_2bit_adder) ).
thf(72,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(73,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[72]) ).
thf(74,negated_conjecture,
~ ( abnormal @ ( and2 @ ( h2 @ ( f2 @ a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).
thf(75,negated_conjecture,
~ ( abnormal @ ( and2 @ ( h1 @ ( f2 @ a ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).
thf(76,negated_conjecture,
~ ( abnormal @ ( or1 @ ( f2 @ a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1f2a) ).
thf(77,plain,
$false = $false,
inference(unfold_def,[status(thm)],[73]) ).
thf(78,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inc @ X ) @ ( inc @ ( f1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(79,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( outc @ ( f1 @ X ) ) @ ( inc @ ( f2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(80,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inb2 @ X ) @ ( in2 @ ( f2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(81,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( ina2 @ X ) @ ( in1 @ ( f2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(82,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inb1 @ X ) @ ( in2 @ ( f1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(83,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( ina1 @ X ) @ ( in1 @ ( f1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(84,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( outc @ X ) @ ( outc @ ( f2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(85,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( out2 @ X ) @ ( out1 @ ( f2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(86,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( out1 @ X ) @ ( out1 @ ( f1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(87,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( fulladder @ ( f2 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(88,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( fulladder @ ( f1 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(89,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ X ) @ ( out1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(90,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outs @ X ) @ ( outs @ ( h2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(91,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( inc @ X ) @ ( in2 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(92,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( in2 @ X ) @ ( in1 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(93,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(94,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ ( h2 @ X ) ) @ ( in1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(95,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ ( h1 @ X ) ) @ ( in2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(96,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outs @ ( h1 @ X ) ) @ ( in2 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(97,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( logic_or @ ( or1 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(98,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( halfadder @ ( h2 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(99,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( halfadder @ ( h1 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(100,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( not1 @ X ) ) @ ( in2 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(101,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( and2 @ X ) ) @ ( in1 @ ( not1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(102,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( or1 @ X ) ) @ ( in1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(103,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( outc @ X ) @ ( out1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(104,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( outs @ X ) @ ( out1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(105,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in2 @ X ) @ ( in2 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(106,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(107,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in2 @ X ) @ ( in2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(108,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(109,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_or @ ( or1 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(110,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_not @ ( not1 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(111,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_and @ ( and2 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(112,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_and @ ( and1 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(113,plain,
( ( ! [K: $i] :
( ~ ( logic_not @ K )
| ( not_ok @ K )
| ( abnormal @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(114,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( abnormal @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(115,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(116,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(117,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(118,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(119,plain,
( ( ! [K: $i] :
( ~ ( logic_or @ K )
| ( or_ok @ K )
| ( abnormal @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(120,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( abnormal @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(121,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in2 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(122,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(123,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) )
| ( one @ ( in2 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(124,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ~ ( zero @ ( in2 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(125,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( in2 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(126,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(127,plain,
( ( ! [K: $i] :
( ~ ( logic_and @ K )
| ( and_ok @ K )
| ( abnormal @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(128,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( abnormal @ K ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(129,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in2 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(130,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(131,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) )
| ( zero @ ( in2 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(132,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ~ ( one @ ( in2 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(133,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( in2 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(134,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(135,plain,
( ( ! [P: $i] :
( ~ ( zero @ P )
| ~ ( one @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(136,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( one @ P2 )
| ( one @ P1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(137,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( zero @ P2 )
| ( zero @ P1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(138,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( one @ P1 )
| ( one @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(139,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( zero @ P1 )
| ( zero @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(140,plain,
( ( one @ ( outc @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(141,plain,
( ( zero @ ( out2 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(142,plain,
( ( zero @ ( out1 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(143,plain,
( ( zero @ ( inc @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(144,plain,
( ( zero @ ( inb2 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(145,plain,
( ( zero @ ( inb1 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(146,plain,
( ( zero @ ( ina2 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(147,plain,
( ( zero @ ( ina1 @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(148,plain,
( ( nbit_adder2 @ a )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(149,plain,
( ( ~ ( abnormal @ ( and2 @ ( h2 @ ( f2 @ a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(150,plain,
( ( ~ ( abnormal @ ( and2 @ ( h1 @ ( f2 @ a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(151,plain,
( ( ~ ( abnormal @ ( or1 @ ( f2 @ a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(152,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[77]) ).
thf(153,plain,
( ( ! [K: $i] :
( ~ ( logic_not @ K )
| ( abnormal @ K )
| ( not_ok @ K ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(154,plain,
( ( ! [K: $i] :
( ~ ( logic_or @ K )
| ( abnormal @ K )
| ( or_ok @ K ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[119]) ).
thf(155,plain,
( ( ! [K: $i] :
( ~ ( logic_and @ K )
| ( abnormal @ K )
| ( and_ok @ K ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[127]) ).
thf(156,plain,
( ( ~ ( abnormal @ ( or1 @ ( f2 @ a ) ) ) )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(157,plain,
( ( ~ ( abnormal @ ( and2 @ ( h1 @ ( f2 @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(158,plain,
( ( ~ ( abnormal @ ( and2 @ ( h2 @ ( f2 @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(159,plain,
( ( nbit_adder2 @ a )
= $true ),
inference(copy,[status(thm)],[148]) ).
thf(160,plain,
( ( zero @ ( ina1 @ a ) )
= $true ),
inference(copy,[status(thm)],[147]) ).
thf(161,plain,
( ( zero @ ( ina2 @ a ) )
= $true ),
inference(copy,[status(thm)],[146]) ).
thf(162,plain,
( ( zero @ ( inb1 @ a ) )
= $true ),
inference(copy,[status(thm)],[145]) ).
thf(163,plain,
( ( zero @ ( inb2 @ a ) )
= $true ),
inference(copy,[status(thm)],[144]) ).
thf(164,plain,
( ( zero @ ( inc @ a ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(165,plain,
( ( zero @ ( out1 @ a ) )
= $true ),
inference(copy,[status(thm)],[142]) ).
thf(166,plain,
( ( zero @ ( out2 @ a ) )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(167,plain,
( ( one @ ( outc @ a ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(168,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( zero @ P1 )
| ( zero @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(169,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( one @ P1 )
| ( one @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(170,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( zero @ P2 )
| ( zero @ P1 ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(171,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( one @ P2 )
| ( one @ P1 ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(172,plain,
( ( ! [P: $i] :
( ~ ( zero @ P )
| ~ ( one @ P ) ) )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(173,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(174,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( in2 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(175,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ~ ( one @ ( in2 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(176,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) )
| ( zero @ ( in2 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(177,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(178,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in2 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(179,plain,
( ( ! [K: $i] :
( ~ ( and_ok @ K )
| ~ ( abnormal @ K ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(180,plain,
( ( ! [K: $i] :
( ~ ( logic_and @ K )
| ( abnormal @ K )
| ( and_ok @ K ) ) )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(181,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(182,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( in2 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(183,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ~ ( zero @ ( in2 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(184,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) )
| ( one @ ( in2 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(185,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(186,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( zero @ ( in2 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(187,plain,
( ( ! [K: $i] :
( ~ ( or_ok @ K )
| ~ ( abnormal @ K ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(188,plain,
( ( ! [K: $i] :
( ~ ( logic_or @ K )
| ( abnormal @ K )
| ( or_ok @ K ) ) )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(189,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( zero @ ( in1 @ K ) )
| ( one @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(190,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( one @ ( in1 @ K ) )
| ( zero @ ( out1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(191,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( zero @ ( out1 @ K ) )
| ( one @ ( in1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(192,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( one @ ( out1 @ K ) )
| ( zero @ ( in1 @ K ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(193,plain,
( ( ! [K: $i] :
( ~ ( not_ok @ K )
| ~ ( abnormal @ K ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(194,plain,
( ( ! [K: $i] :
( ~ ( logic_not @ K )
| ( abnormal @ K )
| ( not_ok @ K ) ) )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(195,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_and @ ( and1 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(196,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_and @ ( and2 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(197,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_not @ ( not1 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(198,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( logic_or @ ( or1 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(199,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(200,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in2 @ X ) @ ( in2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(201,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(202,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( in2 @ X ) @ ( in2 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(203,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( outs @ X ) @ ( out1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(204,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( outc @ X ) @ ( out1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(205,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( or1 @ X ) ) @ ( in1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(206,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( and2 @ X ) ) @ ( in1 @ ( not1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(207,plain,
( ( ! [X: $i] :
( ~ ( halfadder @ X )
| ( connection @ ( out1 @ ( not1 @ X ) ) @ ( in2 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(208,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( halfadder @ ( h1 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(209,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( halfadder @ ( h2 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(210,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( logic_or @ ( or1 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(211,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outs @ ( h1 @ X ) ) @ ( in2 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(212,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ ( h1 @ X ) ) @ ( in2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(213,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ ( h2 @ X ) ) @ ( in1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(214,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( in1 @ X ) @ ( in1 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(215,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( in2 @ X ) @ ( in1 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(216,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( inc @ X ) @ ( in2 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(217,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outs @ X ) @ ( outs @ ( h2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(218,plain,
( ( ! [X: $i] :
( ~ ( fulladder @ X )
| ( connection @ ( outc @ X ) @ ( out1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(219,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( fulladder @ ( f1 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(220,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( fulladder @ ( f2 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(221,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( out1 @ X ) @ ( out1 @ ( f1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(222,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( out2 @ X ) @ ( out1 @ ( f2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(223,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( outc @ X ) @ ( outc @ ( f2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(224,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( ina1 @ X ) @ ( in1 @ ( f1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(225,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inb1 @ X ) @ ( in2 @ ( f1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(226,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( ina2 @ X ) @ ( in1 @ ( f2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(227,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inb2 @ X ) @ ( in2 @ ( f2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(228,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( outc @ ( f1 @ X ) ) @ ( inc @ ( f2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(229,plain,
( ( ! [X: $i] :
( ~ ( nbit_adder2 @ X )
| ( connection @ ( inc @ X ) @ ( inc @ ( f1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(230,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[152]) ).
thf(231,plain,
( ( abnormal @ ( or1 @ ( f2 @ a ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(232,plain,
( ( abnormal @ ( and2 @ ( h1 @ ( f2 @ a ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(233,plain,
( ( abnormal @ ( and2 @ ( h2 @ ( f2 @ a ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(234,plain,
! [SV1: $i] :
( ( ! [SY66: $i] :
( ~ ( connection @ SV1 @ SY66 )
| ~ ( zero @ SV1 )
| ( zero @ SY66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(235,plain,
! [SV2: $i] :
( ( ! [SY67: $i] :
( ~ ( connection @ SV2 @ SY67 )
| ~ ( one @ SV2 )
| ( one @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(236,plain,
! [SV3: $i] :
( ( ! [SY68: $i] :
( ~ ( connection @ SV3 @ SY68 )
| ~ ( zero @ SY68 )
| ( zero @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(237,plain,
! [SV4: $i] :
( ( ! [SY69: $i] :
( ~ ( connection @ SV4 @ SY69 )
| ~ ( one @ SY69 )
| ( one @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(238,plain,
! [SV5: $i] :
( ( ~ ( zero @ SV5 )
| ~ ( one @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(239,plain,
! [SV6: $i] :
( ( ~ ( and_ok @ SV6 )
| ~ ( zero @ ( in1 @ SV6 ) )
| ( zero @ ( out1 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(240,plain,
! [SV7: $i] :
( ( ~ ( and_ok @ SV7 )
| ~ ( zero @ ( in2 @ SV7 ) )
| ( zero @ ( out1 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(241,plain,
! [SV8: $i] :
( ( ~ ( and_ok @ SV8 )
| ~ ( one @ ( in1 @ SV8 ) )
| ~ ( one @ ( in2 @ SV8 ) )
| ( one @ ( out1 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(242,plain,
! [SV9: $i] :
( ( ~ ( and_ok @ SV9 )
| ~ ( zero @ ( out1 @ SV9 ) )
| ( zero @ ( in1 @ SV9 ) )
| ( zero @ ( in2 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(243,plain,
! [SV10: $i] :
( ( ~ ( and_ok @ SV10 )
| ~ ( one @ ( out1 @ SV10 ) )
| ( one @ ( in1 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(244,plain,
! [SV11: $i] :
( ( ~ ( and_ok @ SV11 )
| ~ ( one @ ( out1 @ SV11 ) )
| ( one @ ( in2 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(245,plain,
! [SV12: $i] :
( ( ~ ( and_ok @ SV12 )
| ~ ( abnormal @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(246,plain,
! [SV13: $i] :
( ( ~ ( logic_and @ SV13 )
| ( abnormal @ SV13 )
| ( and_ok @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(247,plain,
! [SV14: $i] :
( ( ~ ( or_ok @ SV14 )
| ~ ( one @ ( in1 @ SV14 ) )
| ( one @ ( out1 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(248,plain,
! [SV15: $i] :
( ( ~ ( or_ok @ SV15 )
| ~ ( one @ ( in2 @ SV15 ) )
| ( one @ ( out1 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(249,plain,
! [SV16: $i] :
( ( ~ ( or_ok @ SV16 )
| ~ ( zero @ ( in1 @ SV16 ) )
| ~ ( zero @ ( in2 @ SV16 ) )
| ( zero @ ( out1 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(250,plain,
! [SV17: $i] :
( ( ~ ( or_ok @ SV17 )
| ~ ( one @ ( out1 @ SV17 ) )
| ( one @ ( in1 @ SV17 ) )
| ( one @ ( in2 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(251,plain,
! [SV18: $i] :
( ( ~ ( or_ok @ SV18 )
| ~ ( zero @ ( out1 @ SV18 ) )
| ( zero @ ( in1 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(252,plain,
! [SV19: $i] :
( ( ~ ( or_ok @ SV19 )
| ~ ( zero @ ( out1 @ SV19 ) )
| ( zero @ ( in2 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(253,plain,
! [SV20: $i] :
( ( ~ ( or_ok @ SV20 )
| ~ ( abnormal @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(254,plain,
! [SV21: $i] :
( ( ~ ( logic_or @ SV21 )
| ( abnormal @ SV21 )
| ( or_ok @ SV21 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(255,plain,
! [SV22: $i] :
( ( ~ ( not_ok @ SV22 )
| ~ ( zero @ ( in1 @ SV22 ) )
| ( one @ ( out1 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(256,plain,
! [SV23: $i] :
( ( ~ ( not_ok @ SV23 )
| ~ ( one @ ( in1 @ SV23 ) )
| ( zero @ ( out1 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(257,plain,
! [SV24: $i] :
( ( ~ ( not_ok @ SV24 )
| ~ ( zero @ ( out1 @ SV24 ) )
| ( one @ ( in1 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(258,plain,
! [SV25: $i] :
( ( ~ ( not_ok @ SV25 )
| ~ ( one @ ( out1 @ SV25 ) )
| ( zero @ ( in1 @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(259,plain,
! [SV26: $i] :
( ( ~ ( not_ok @ SV26 )
| ~ ( abnormal @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(260,plain,
! [SV27: $i] :
( ( ~ ( logic_not @ SV27 )
| ( abnormal @ SV27 )
| ( not_ok @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(261,plain,
! [SV28: $i] :
( ( ~ ( halfadder @ SV28 )
| ( logic_and @ ( and1 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(262,plain,
! [SV29: $i] :
( ( ~ ( halfadder @ SV29 )
| ( logic_and @ ( and2 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(263,plain,
! [SV30: $i] :
( ( ~ ( halfadder @ SV30 )
| ( logic_not @ ( not1 @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(264,plain,
! [SV31: $i] :
( ( ~ ( halfadder @ SV31 )
| ( logic_or @ ( or1 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(265,plain,
! [SV32: $i] :
( ( ~ ( halfadder @ SV32 )
| ( connection @ ( in1 @ SV32 ) @ ( in1 @ ( or1 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(266,plain,
! [SV33: $i] :
( ( ~ ( halfadder @ SV33 )
| ( connection @ ( in2 @ SV33 ) @ ( in2 @ ( or1 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(267,plain,
! [SV34: $i] :
( ( ~ ( halfadder @ SV34 )
| ( connection @ ( in1 @ SV34 ) @ ( in1 @ ( and2 @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(268,plain,
! [SV35: $i] :
( ( ~ ( halfadder @ SV35 )
| ( connection @ ( in2 @ SV35 ) @ ( in2 @ ( and2 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(269,plain,
! [SV36: $i] :
( ( ~ ( halfadder @ SV36 )
| ( connection @ ( outs @ SV36 ) @ ( out1 @ ( and1 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(270,plain,
! [SV37: $i] :
( ( ~ ( halfadder @ SV37 )
| ( connection @ ( outc @ SV37 ) @ ( out1 @ ( and2 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(271,plain,
! [SV38: $i] :
( ( ~ ( halfadder @ SV38 )
| ( connection @ ( out1 @ ( or1 @ SV38 ) ) @ ( in1 @ ( and1 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(272,plain,
! [SV39: $i] :
( ( ~ ( halfadder @ SV39 )
| ( connection @ ( out1 @ ( and2 @ SV39 ) ) @ ( in1 @ ( not1 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(273,plain,
! [SV40: $i] :
( ( ~ ( halfadder @ SV40 )
| ( connection @ ( out1 @ ( not1 @ SV40 ) ) @ ( in2 @ ( and1 @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(274,plain,
! [SV41: $i] :
( ( ~ ( fulladder @ SV41 )
| ( halfadder @ ( h1 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(275,plain,
! [SV42: $i] :
( ( ~ ( fulladder @ SV42 )
| ( halfadder @ ( h2 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(276,plain,
! [SV43: $i] :
( ( ~ ( fulladder @ SV43 )
| ( logic_or @ ( or1 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(277,plain,
! [SV44: $i] :
( ( ~ ( fulladder @ SV44 )
| ( connection @ ( outs @ ( h1 @ SV44 ) ) @ ( in2 @ ( h2 @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(278,plain,
! [SV45: $i] :
( ( ~ ( fulladder @ SV45 )
| ( connection @ ( outc @ ( h1 @ SV45 ) ) @ ( in2 @ ( or1 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(279,plain,
! [SV46: $i] :
( ( ~ ( fulladder @ SV46 )
| ( connection @ ( outc @ ( h2 @ SV46 ) ) @ ( in1 @ ( or1 @ SV46 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(280,plain,
! [SV47: $i] :
( ( ~ ( fulladder @ SV47 )
| ( connection @ ( in1 @ SV47 ) @ ( in1 @ ( h2 @ SV47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(281,plain,
! [SV48: $i] :
( ( ~ ( fulladder @ SV48 )
| ( connection @ ( in2 @ SV48 ) @ ( in1 @ ( h1 @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(282,plain,
! [SV49: $i] :
( ( ~ ( fulladder @ SV49 )
| ( connection @ ( inc @ SV49 ) @ ( in2 @ ( h1 @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(283,plain,
! [SV50: $i] :
( ( ~ ( fulladder @ SV50 )
| ( connection @ ( outs @ SV50 ) @ ( outs @ ( h2 @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(284,plain,
! [SV51: $i] :
( ( ~ ( fulladder @ SV51 )
| ( connection @ ( outc @ SV51 ) @ ( out1 @ ( or1 @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(285,plain,
! [SV52: $i] :
( ( ~ ( nbit_adder2 @ SV52 )
| ( fulladder @ ( f1 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(286,plain,
! [SV53: $i] :
( ( ~ ( nbit_adder2 @ SV53 )
| ( fulladder @ ( f2 @ SV53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(287,plain,
! [SV54: $i] :
( ( ~ ( nbit_adder2 @ SV54 )
| ( connection @ ( out1 @ SV54 ) @ ( out1 @ ( f1 @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(288,plain,
! [SV55: $i] :
( ( ~ ( nbit_adder2 @ SV55 )
| ( connection @ ( out2 @ SV55 ) @ ( out1 @ ( f2 @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(289,plain,
! [SV56: $i] :
( ( ~ ( nbit_adder2 @ SV56 )
| ( connection @ ( outc @ SV56 ) @ ( outc @ ( f2 @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(290,plain,
! [SV57: $i] :
( ( ~ ( nbit_adder2 @ SV57 )
| ( connection @ ( ina1 @ SV57 ) @ ( in1 @ ( f1 @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(291,plain,
! [SV58: $i] :
( ( ~ ( nbit_adder2 @ SV58 )
| ( connection @ ( inb1 @ SV58 ) @ ( in2 @ ( f1 @ SV58 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(292,plain,
! [SV59: $i] :
( ( ~ ( nbit_adder2 @ SV59 )
| ( connection @ ( ina2 @ SV59 ) @ ( in1 @ ( f2 @ SV59 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(293,plain,
! [SV60: $i] :
( ( ~ ( nbit_adder2 @ SV60 )
| ( connection @ ( inb2 @ SV60 ) @ ( in2 @ ( f2 @ SV60 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(294,plain,
! [SV61: $i] :
( ( ~ ( nbit_adder2 @ SV61 )
| ( connection @ ( outc @ ( f1 @ SV61 ) ) @ ( inc @ ( f2 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(295,plain,
! [SV62: $i] :
( ( ~ ( nbit_adder2 @ SV62 )
| ( connection @ ( inc @ SV62 ) @ ( inc @ ( f1 @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(296,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(297,plain,
! [SV63: $i,SV1: $i] :
( ( ~ ( connection @ SV1 @ SV63 )
| ~ ( zero @ SV1 )
| ( zero @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(298,plain,
! [SV64: $i,SV2: $i] :
( ( ~ ( connection @ SV2 @ SV64 )
| ~ ( one @ SV2 )
| ( one @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(299,plain,
! [SV65: $i,SV3: $i] :
( ( ~ ( connection @ SV3 @ SV65 )
| ~ ( zero @ SV65 )
| ( zero @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(300,plain,
! [SV66: $i,SV4: $i] :
( ( ~ ( connection @ SV4 @ SV66 )
| ~ ( one @ SV66 )
| ( one @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(301,plain,
! [SV5: $i] :
( ( ( ~ ( zero @ SV5 ) )
= $true )
| ( ( ~ ( one @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(302,plain,
! [SV6: $i] :
( ( ( ~ ( and_ok @ SV6 ) )
= $true )
| ( ( ~ ( zero @ ( in1 @ SV6 ) )
| ( zero @ ( out1 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[239]) ).
thf(303,plain,
! [SV7: $i] :
( ( ( ~ ( and_ok @ SV7 ) )
= $true )
| ( ( ~ ( zero @ ( in2 @ SV7 ) )
| ( zero @ ( out1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(304,plain,
! [SV8: $i] :
( ( ( ~ ( and_ok @ SV8 ) )
= $true )
| ( ( ~ ( one @ ( in1 @ SV8 ) )
| ~ ( one @ ( in2 @ SV8 ) )
| ( one @ ( out1 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(305,plain,
! [SV9: $i] :
( ( ( ~ ( and_ok @ SV9 ) )
= $true )
| ( ( ~ ( zero @ ( out1 @ SV9 ) )
| ( zero @ ( in1 @ SV9 ) )
| ( zero @ ( in2 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(306,plain,
! [SV10: $i] :
( ( ( ~ ( and_ok @ SV10 ) )
= $true )
| ( ( ~ ( one @ ( out1 @ SV10 ) )
| ( one @ ( in1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(307,plain,
! [SV11: $i] :
( ( ( ~ ( and_ok @ SV11 ) )
= $true )
| ( ( ~ ( one @ ( out1 @ SV11 ) )
| ( one @ ( in2 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(308,plain,
! [SV12: $i] :
( ( ( ~ ( and_ok @ SV12 ) )
= $true )
| ( ( ~ ( abnormal @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[245]) ).
thf(309,plain,
! [SV13: $i] :
( ( ( ~ ( logic_and @ SV13 ) )
= $true )
| ( ( ( abnormal @ SV13 )
| ( and_ok @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[246]) ).
thf(310,plain,
! [SV14: $i] :
( ( ( ~ ( or_ok @ SV14 ) )
= $true )
| ( ( ~ ( one @ ( in1 @ SV14 ) )
| ( one @ ( out1 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(311,plain,
! [SV15: $i] :
( ( ( ~ ( or_ok @ SV15 ) )
= $true )
| ( ( ~ ( one @ ( in2 @ SV15 ) )
| ( one @ ( out1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[248]) ).
thf(312,plain,
! [SV16: $i] :
( ( ( ~ ( or_ok @ SV16 ) )
= $true )
| ( ( ~ ( zero @ ( in1 @ SV16 ) )
| ~ ( zero @ ( in2 @ SV16 ) )
| ( zero @ ( out1 @ SV16 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(313,plain,
! [SV17: $i] :
( ( ( ~ ( or_ok @ SV17 ) )
= $true )
| ( ( ~ ( one @ ( out1 @ SV17 ) )
| ( one @ ( in1 @ SV17 ) )
| ( one @ ( in2 @ SV17 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[250]) ).
thf(314,plain,
! [SV18: $i] :
( ( ( ~ ( or_ok @ SV18 ) )
= $true )
| ( ( ~ ( zero @ ( out1 @ SV18 ) )
| ( zero @ ( in1 @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(315,plain,
! [SV19: $i] :
( ( ( ~ ( or_ok @ SV19 ) )
= $true )
| ( ( ~ ( zero @ ( out1 @ SV19 ) )
| ( zero @ ( in2 @ SV19 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(316,plain,
! [SV20: $i] :
( ( ( ~ ( or_ok @ SV20 ) )
= $true )
| ( ( ~ ( abnormal @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(317,plain,
! [SV21: $i] :
( ( ( ~ ( logic_or @ SV21 ) )
= $true )
| ( ( ( abnormal @ SV21 )
| ( or_ok @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(318,plain,
! [SV22: $i] :
( ( ( ~ ( not_ok @ SV22 ) )
= $true )
| ( ( ~ ( zero @ ( in1 @ SV22 ) )
| ( one @ ( out1 @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(319,plain,
! [SV23: $i] :
( ( ( ~ ( not_ok @ SV23 ) )
= $true )
| ( ( ~ ( one @ ( in1 @ SV23 ) )
| ( zero @ ( out1 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(320,plain,
! [SV24: $i] :
( ( ( ~ ( not_ok @ SV24 ) )
= $true )
| ( ( ~ ( zero @ ( out1 @ SV24 ) )
| ( one @ ( in1 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(321,plain,
! [SV25: $i] :
( ( ( ~ ( not_ok @ SV25 ) )
= $true )
| ( ( ~ ( one @ ( out1 @ SV25 ) )
| ( zero @ ( in1 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(322,plain,
! [SV26: $i] :
( ( ( ~ ( not_ok @ SV26 ) )
= $true )
| ( ( ~ ( abnormal @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[259]) ).
thf(323,plain,
! [SV27: $i] :
( ( ( ~ ( logic_not @ SV27 ) )
= $true )
| ( ( ( abnormal @ SV27 )
| ( not_ok @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(324,plain,
! [SV28: $i] :
( ( ( ~ ( halfadder @ SV28 ) )
= $true )
| ( ( logic_and @ ( and1 @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[261]) ).
thf(325,plain,
! [SV29: $i] :
( ( ( ~ ( halfadder @ SV29 ) )
= $true )
| ( ( logic_and @ ( and2 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(326,plain,
! [SV30: $i] :
( ( ( ~ ( halfadder @ SV30 ) )
= $true )
| ( ( logic_not @ ( not1 @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(327,plain,
! [SV31: $i] :
( ( ( ~ ( halfadder @ SV31 ) )
= $true )
| ( ( logic_or @ ( or1 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(328,plain,
! [SV32: $i] :
( ( ( ~ ( halfadder @ SV32 ) )
= $true )
| ( ( connection @ ( in1 @ SV32 ) @ ( in1 @ ( or1 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(329,plain,
! [SV33: $i] :
( ( ( ~ ( halfadder @ SV33 ) )
= $true )
| ( ( connection @ ( in2 @ SV33 ) @ ( in2 @ ( or1 @ SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(330,plain,
! [SV34: $i] :
( ( ( ~ ( halfadder @ SV34 ) )
= $true )
| ( ( connection @ ( in1 @ SV34 ) @ ( in1 @ ( and2 @ SV34 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(331,plain,
! [SV35: $i] :
( ( ( ~ ( halfadder @ SV35 ) )
= $true )
| ( ( connection @ ( in2 @ SV35 ) @ ( in2 @ ( and2 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(332,plain,
! [SV36: $i] :
( ( ( ~ ( halfadder @ SV36 ) )
= $true )
| ( ( connection @ ( outs @ SV36 ) @ ( out1 @ ( and1 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(333,plain,
! [SV37: $i] :
( ( ( ~ ( halfadder @ SV37 ) )
= $true )
| ( ( connection @ ( outc @ SV37 ) @ ( out1 @ ( and2 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(334,plain,
! [SV38: $i] :
( ( ( ~ ( halfadder @ SV38 ) )
= $true )
| ( ( connection @ ( out1 @ ( or1 @ SV38 ) ) @ ( in1 @ ( and1 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(335,plain,
! [SV39: $i] :
( ( ( ~ ( halfadder @ SV39 ) )
= $true )
| ( ( connection @ ( out1 @ ( and2 @ SV39 ) ) @ ( in1 @ ( not1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(336,plain,
! [SV40: $i] :
( ( ( ~ ( halfadder @ SV40 ) )
= $true )
| ( ( connection @ ( out1 @ ( not1 @ SV40 ) ) @ ( in2 @ ( and1 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(337,plain,
! [SV41: $i] :
( ( ( ~ ( fulladder @ SV41 ) )
= $true )
| ( ( halfadder @ ( h1 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(338,plain,
! [SV42: $i] :
( ( ( ~ ( fulladder @ SV42 ) )
= $true )
| ( ( halfadder @ ( h2 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(339,plain,
! [SV43: $i] :
( ( ( ~ ( fulladder @ SV43 ) )
= $true )
| ( ( logic_or @ ( or1 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(340,plain,
! [SV44: $i] :
( ( ( ~ ( fulladder @ SV44 ) )
= $true )
| ( ( connection @ ( outs @ ( h1 @ SV44 ) ) @ ( in2 @ ( h2 @ SV44 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(341,plain,
! [SV45: $i] :
( ( ( ~ ( fulladder @ SV45 ) )
= $true )
| ( ( connection @ ( outc @ ( h1 @ SV45 ) ) @ ( in2 @ ( or1 @ SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(342,plain,
! [SV46: $i] :
( ( ( ~ ( fulladder @ SV46 ) )
= $true )
| ( ( connection @ ( outc @ ( h2 @ SV46 ) ) @ ( in1 @ ( or1 @ SV46 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(343,plain,
! [SV47: $i] :
( ( ( ~ ( fulladder @ SV47 ) )
= $true )
| ( ( connection @ ( in1 @ SV47 ) @ ( in1 @ ( h2 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(344,plain,
! [SV48: $i] :
( ( ( ~ ( fulladder @ SV48 ) )
= $true )
| ( ( connection @ ( in2 @ SV48 ) @ ( in1 @ ( h1 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(345,plain,
! [SV49: $i] :
( ( ( ~ ( fulladder @ SV49 ) )
= $true )
| ( ( connection @ ( inc @ SV49 ) @ ( in2 @ ( h1 @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(346,plain,
! [SV50: $i] :
( ( ( ~ ( fulladder @ SV50 ) )
= $true )
| ( ( connection @ ( outs @ SV50 ) @ ( outs @ ( h2 @ SV50 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(347,plain,
! [SV51: $i] :
( ( ( ~ ( fulladder @ SV51 ) )
= $true )
| ( ( connection @ ( outc @ SV51 ) @ ( out1 @ ( or1 @ SV51 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(348,plain,
! [SV52: $i] :
( ( ( ~ ( nbit_adder2 @ SV52 ) )
= $true )
| ( ( fulladder @ ( f1 @ SV52 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(349,plain,
! [SV53: $i] :
( ( ( ~ ( nbit_adder2 @ SV53 ) )
= $true )
| ( ( fulladder @ ( f2 @ SV53 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(350,plain,
! [SV54: $i] :
( ( ( ~ ( nbit_adder2 @ SV54 ) )
= $true )
| ( ( connection @ ( out1 @ SV54 ) @ ( out1 @ ( f1 @ SV54 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(351,plain,
! [SV55: $i] :
( ( ( ~ ( nbit_adder2 @ SV55 ) )
= $true )
| ( ( connection @ ( out2 @ SV55 ) @ ( out1 @ ( f2 @ SV55 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(352,plain,
! [SV56: $i] :
( ( ( ~ ( nbit_adder2 @ SV56 ) )
= $true )
| ( ( connection @ ( outc @ SV56 ) @ ( outc @ ( f2 @ SV56 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(353,plain,
! [SV57: $i] :
( ( ( ~ ( nbit_adder2 @ SV57 ) )
= $true )
| ( ( connection @ ( ina1 @ SV57 ) @ ( in1 @ ( f1 @ SV57 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(354,plain,
! [SV58: $i] :
( ( ( ~ ( nbit_adder2 @ SV58 ) )
= $true )
| ( ( connection @ ( inb1 @ SV58 ) @ ( in2 @ ( f1 @ SV58 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(355,plain,
! [SV59: $i] :
( ( ( ~ ( nbit_adder2 @ SV59 ) )
= $true )
| ( ( connection @ ( ina2 @ SV59 ) @ ( in1 @ ( f2 @ SV59 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(356,plain,
! [SV60: $i] :
( ( ( ~ ( nbit_adder2 @ SV60 ) )
= $true )
| ( ( connection @ ( inb2 @ SV60 ) @ ( in2 @ ( f2 @ SV60 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(357,plain,
! [SV61: $i] :
( ( ( ~ ( nbit_adder2 @ SV61 ) )
= $true )
| ( ( connection @ ( outc @ ( f1 @ SV61 ) ) @ ( inc @ ( f2 @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(358,plain,
! [SV62: $i] :
( ( ( ~ ( nbit_adder2 @ SV62 ) )
= $true )
| ( ( connection @ ( inc @ SV62 ) @ ( inc @ ( f1 @ SV62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(359,plain,
! [SV63: $i,SV1: $i] :
( ( ( ~ ( connection @ SV1 @ SV63 ) )
= $true )
| ( ( ~ ( zero @ SV1 )
| ( zero @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(360,plain,
! [SV64: $i,SV2: $i] :
( ( ( ~ ( connection @ SV2 @ SV64 ) )
= $true )
| ( ( ~ ( one @ SV2 )
| ( one @ SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(361,plain,
! [SV65: $i,SV3: $i] :
( ( ( ~ ( connection @ SV3 @ SV65 ) )
= $true )
| ( ( ~ ( zero @ SV65 )
| ( zero @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(362,plain,
! [SV66: $i,SV4: $i] :
( ( ( ~ ( connection @ SV4 @ SV66 ) )
= $true )
| ( ( ~ ( one @ SV66 )
| ( one @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(363,plain,
! [SV5: $i] :
( ( ( zero @ SV5 )
= $false )
| ( ( ~ ( one @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(364,plain,
! [SV6: $i] :
( ( ( and_ok @ SV6 )
= $false )
| ( ( ~ ( zero @ ( in1 @ SV6 ) )
| ( zero @ ( out1 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(365,plain,
! [SV7: $i] :
( ( ( and_ok @ SV7 )
= $false )
| ( ( ~ ( zero @ ( in2 @ SV7 ) )
| ( zero @ ( out1 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(366,plain,
! [SV8: $i] :
( ( ( and_ok @ SV8 )
= $false )
| ( ( ~ ( one @ ( in1 @ SV8 ) )
| ~ ( one @ ( in2 @ SV8 ) )
| ( one @ ( out1 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(367,plain,
! [SV9: $i] :
( ( ( and_ok @ SV9 )
= $false )
| ( ( ~ ( zero @ ( out1 @ SV9 ) )
| ( zero @ ( in1 @ SV9 ) )
| ( zero @ ( in2 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(368,plain,
! [SV10: $i] :
( ( ( and_ok @ SV10 )
= $false )
| ( ( ~ ( one @ ( out1 @ SV10 ) )
| ( one @ ( in1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(369,plain,
! [SV11: $i] :
( ( ( and_ok @ SV11 )
= $false )
| ( ( ~ ( one @ ( out1 @ SV11 ) )
| ( one @ ( in2 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(370,plain,
! [SV12: $i] :
( ( ( and_ok @ SV12 )
= $false )
| ( ( ~ ( abnormal @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(371,plain,
! [SV13: $i] :
( ( ( logic_and @ SV13 )
= $false )
| ( ( ( abnormal @ SV13 )
| ( and_ok @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(372,plain,
! [SV14: $i] :
( ( ( or_ok @ SV14 )
= $false )
| ( ( ~ ( one @ ( in1 @ SV14 ) )
| ( one @ ( out1 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(373,plain,
! [SV15: $i] :
( ( ( or_ok @ SV15 )
= $false )
| ( ( ~ ( one @ ( in2 @ SV15 ) )
| ( one @ ( out1 @ SV15 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(374,plain,
! [SV16: $i] :
( ( ( or_ok @ SV16 )
= $false )
| ( ( ~ ( zero @ ( in1 @ SV16 ) )
| ~ ( zero @ ( in2 @ SV16 ) )
| ( zero @ ( out1 @ SV16 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(375,plain,
! [SV17: $i] :
( ( ( or_ok @ SV17 )
= $false )
| ( ( ~ ( one @ ( out1 @ SV17 ) )
| ( one @ ( in1 @ SV17 ) )
| ( one @ ( in2 @ SV17 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(376,plain,
! [SV18: $i] :
( ( ( or_ok @ SV18 )
= $false )
| ( ( ~ ( zero @ ( out1 @ SV18 ) )
| ( zero @ ( in1 @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[314]) ).
thf(377,plain,
! [SV19: $i] :
( ( ( or_ok @ SV19 )
= $false )
| ( ( ~ ( zero @ ( out1 @ SV19 ) )
| ( zero @ ( in2 @ SV19 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(378,plain,
! [SV20: $i] :
( ( ( or_ok @ SV20 )
= $false )
| ( ( ~ ( abnormal @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(379,plain,
! [SV21: $i] :
( ( ( logic_or @ SV21 )
= $false )
| ( ( ( abnormal @ SV21 )
| ( or_ok @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(380,plain,
! [SV22: $i] :
( ( ( not_ok @ SV22 )
= $false )
| ( ( ~ ( zero @ ( in1 @ SV22 ) )
| ( one @ ( out1 @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(381,plain,
! [SV23: $i] :
( ( ( not_ok @ SV23 )
= $false )
| ( ( ~ ( one @ ( in1 @ SV23 ) )
| ( zero @ ( out1 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(382,plain,
! [SV24: $i] :
( ( ( not_ok @ SV24 )
= $false )
| ( ( ~ ( zero @ ( out1 @ SV24 ) )
| ( one @ ( in1 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(383,plain,
! [SV25: $i] :
( ( ( not_ok @ SV25 )
= $false )
| ( ( ~ ( one @ ( out1 @ SV25 ) )
| ( zero @ ( in1 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(384,plain,
! [SV26: $i] :
( ( ( not_ok @ SV26 )
= $false )
| ( ( ~ ( abnormal @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(385,plain,
! [SV27: $i] :
( ( ( logic_not @ SV27 )
= $false )
| ( ( ( abnormal @ SV27 )
| ( not_ok @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(386,plain,
! [SV28: $i] :
( ( ( halfadder @ SV28 )
= $false )
| ( ( logic_and @ ( and1 @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(387,plain,
! [SV29: $i] :
( ( ( halfadder @ SV29 )
= $false )
| ( ( logic_and @ ( and2 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(388,plain,
! [SV30: $i] :
( ( ( halfadder @ SV30 )
= $false )
| ( ( logic_not @ ( not1 @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[326]) ).
thf(389,plain,
! [SV31: $i] :
( ( ( halfadder @ SV31 )
= $false )
| ( ( logic_or @ ( or1 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(390,plain,
! [SV32: $i] :
( ( ( halfadder @ SV32 )
= $false )
| ( ( connection @ ( in1 @ SV32 ) @ ( in1 @ ( or1 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(391,plain,
! [SV33: $i] :
( ( ( halfadder @ SV33 )
= $false )
| ( ( connection @ ( in2 @ SV33 ) @ ( in2 @ ( or1 @ SV33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(392,plain,
! [SV34: $i] :
( ( ( halfadder @ SV34 )
= $false )
| ( ( connection @ ( in1 @ SV34 ) @ ( in1 @ ( and2 @ SV34 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(393,plain,
! [SV35: $i] :
( ( ( halfadder @ SV35 )
= $false )
| ( ( connection @ ( in2 @ SV35 ) @ ( in2 @ ( and2 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(394,plain,
! [SV36: $i] :
( ( ( halfadder @ SV36 )
= $false )
| ( ( connection @ ( outs @ SV36 ) @ ( out1 @ ( and1 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(395,plain,
! [SV37: $i] :
( ( ( halfadder @ SV37 )
= $false )
| ( ( connection @ ( outc @ SV37 ) @ ( out1 @ ( and2 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(396,plain,
! [SV38: $i] :
( ( ( halfadder @ SV38 )
= $false )
| ( ( connection @ ( out1 @ ( or1 @ SV38 ) ) @ ( in1 @ ( and1 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(397,plain,
! [SV39: $i] :
( ( ( halfadder @ SV39 )
= $false )
| ( ( connection @ ( out1 @ ( and2 @ SV39 ) ) @ ( in1 @ ( not1 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(398,plain,
! [SV40: $i] :
( ( ( halfadder @ SV40 )
= $false )
| ( ( connection @ ( out1 @ ( not1 @ SV40 ) ) @ ( in2 @ ( and1 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(399,plain,
! [SV41: $i] :
( ( ( fulladder @ SV41 )
= $false )
| ( ( halfadder @ ( h1 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(400,plain,
! [SV42: $i] :
( ( ( fulladder @ SV42 )
= $false )
| ( ( halfadder @ ( h2 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(401,plain,
! [SV43: $i] :
( ( ( fulladder @ SV43 )
= $false )
| ( ( logic_or @ ( or1 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(402,plain,
! [SV44: $i] :
( ( ( fulladder @ SV44 )
= $false )
| ( ( connection @ ( outs @ ( h1 @ SV44 ) ) @ ( in2 @ ( h2 @ SV44 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(403,plain,
! [SV45: $i] :
( ( ( fulladder @ SV45 )
= $false )
| ( ( connection @ ( outc @ ( h1 @ SV45 ) ) @ ( in2 @ ( or1 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(404,plain,
! [SV46: $i] :
( ( ( fulladder @ SV46 )
= $false )
| ( ( connection @ ( outc @ ( h2 @ SV46 ) ) @ ( in1 @ ( or1 @ SV46 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(405,plain,
! [SV47: $i] :
( ( ( fulladder @ SV47 )
= $false )
| ( ( connection @ ( in1 @ SV47 ) @ ( in1 @ ( h2 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(406,plain,
! [SV48: $i] :
( ( ( fulladder @ SV48 )
= $false )
| ( ( connection @ ( in2 @ SV48 ) @ ( in1 @ ( h1 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(407,plain,
! [SV49: $i] :
( ( ( fulladder @ SV49 )
= $false )
| ( ( connection @ ( inc @ SV49 ) @ ( in2 @ ( h1 @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(408,plain,
! [SV50: $i] :
( ( ( fulladder @ SV50 )
= $false )
| ( ( connection @ ( outs @ SV50 ) @ ( outs @ ( h2 @ SV50 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(409,plain,
! [SV51: $i] :
( ( ( fulladder @ SV51 )
= $false )
| ( ( connection @ ( outc @ SV51 ) @ ( out1 @ ( or1 @ SV51 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(410,plain,
! [SV52: $i] :
( ( ( nbit_adder2 @ SV52 )
= $false )
| ( ( fulladder @ ( f1 @ SV52 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(411,plain,
! [SV53: $i] :
( ( ( nbit_adder2 @ SV53 )
= $false )
| ( ( fulladder @ ( f2 @ SV53 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(412,plain,
! [SV54: $i] :
( ( ( nbit_adder2 @ SV54 )
= $false )
| ( ( connection @ ( out1 @ SV54 ) @ ( out1 @ ( f1 @ SV54 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(413,plain,
! [SV55: $i] :
( ( ( nbit_adder2 @ SV55 )
= $false )
| ( ( connection @ ( out2 @ SV55 ) @ ( out1 @ ( f2 @ SV55 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(414,plain,
! [SV56: $i] :
( ( ( nbit_adder2 @ SV56 )
= $false )
| ( ( connection @ ( outc @ SV56 ) @ ( outc @ ( f2 @ SV56 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(415,plain,
! [SV57: $i] :
( ( ( nbit_adder2 @ SV57 )
= $false )
| ( ( connection @ ( ina1 @ SV57 ) @ ( in1 @ ( f1 @ SV57 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(416,plain,
! [SV58: $i] :
( ( ( nbit_adder2 @ SV58 )
= $false )
| ( ( connection @ ( inb1 @ SV58 ) @ ( in2 @ ( f1 @ SV58 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(417,plain,
! [SV59: $i] :
( ( ( nbit_adder2 @ SV59 )
= $false )
| ( ( connection @ ( ina2 @ SV59 ) @ ( in1 @ ( f2 @ SV59 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(418,plain,
! [SV60: $i] :
( ( ( nbit_adder2 @ SV60 )
= $false )
| ( ( connection @ ( inb2 @ SV60 ) @ ( in2 @ ( f2 @ SV60 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(419,plain,
! [SV61: $i] :
( ( ( nbit_adder2 @ SV61 )
= $false )
| ( ( connection @ ( outc @ ( f1 @ SV61 ) ) @ ( inc @ ( f2 @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(420,plain,
! [SV62: $i] :
( ( ( nbit_adder2 @ SV62 )
= $false )
| ( ( connection @ ( inc @ SV62 ) @ ( inc @ ( f1 @ SV62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(421,plain,
! [SV63: $i,SV1: $i] :
( ( ( connection @ SV1 @ SV63 )
= $false )
| ( ( ~ ( zero @ SV1 )
| ( zero @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(422,plain,
! [SV64: $i,SV2: $i] :
( ( ( connection @ SV2 @ SV64 )
= $false )
| ( ( ~ ( one @ SV2 )
| ( one @ SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(423,plain,
! [SV65: $i,SV3: $i] :
( ( ( connection @ SV3 @ SV65 )
= $false )
| ( ( ~ ( zero @ SV65 )
| ( zero @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(424,plain,
! [SV66: $i,SV4: $i] :
( ( ( connection @ SV4 @ SV66 )
= $false )
| ( ( ~ ( one @ SV66 )
| ( one @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(425,plain,
! [SV5: $i] :
( ( ( one @ SV5 )
= $false )
| ( ( zero @ SV5 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(426,plain,
! [SV6: $i] :
( ( ( ~ ( zero @ ( in1 @ SV6 ) ) )
= $true )
| ( ( zero @ ( out1 @ SV6 ) )
= $true )
| ( ( and_ok @ SV6 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(427,plain,
! [SV7: $i] :
( ( ( ~ ( zero @ ( in2 @ SV7 ) ) )
= $true )
| ( ( zero @ ( out1 @ SV7 ) )
= $true )
| ( ( and_ok @ SV7 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(428,plain,
! [SV8: $i] :
( ( ( ~ ( one @ ( in1 @ SV8 ) ) )
= $true )
| ( ( ~ ( one @ ( in2 @ SV8 ) )
| ( one @ ( out1 @ SV8 ) ) )
= $true )
| ( ( and_ok @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(429,plain,
! [SV9: $i] :
( ( ( ~ ( zero @ ( out1 @ SV9 ) ) )
= $true )
| ( ( ( zero @ ( in1 @ SV9 ) )
| ( zero @ ( in2 @ SV9 ) ) )
= $true )
| ( ( and_ok @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(430,plain,
! [SV10: $i] :
( ( ( ~ ( one @ ( out1 @ SV10 ) ) )
= $true )
| ( ( one @ ( in1 @ SV10 ) )
= $true )
| ( ( and_ok @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(431,plain,
! [SV11: $i] :
( ( ( ~ ( one @ ( out1 @ SV11 ) ) )
= $true )
| ( ( one @ ( in2 @ SV11 ) )
= $true )
| ( ( and_ok @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(432,plain,
! [SV12: $i] :
( ( ( abnormal @ SV12 )
= $false )
| ( ( and_ok @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(433,plain,
! [SV13: $i] :
( ( ( abnormal @ SV13 )
= $true )
| ( ( and_ok @ SV13 )
= $true )
| ( ( logic_and @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(434,plain,
! [SV14: $i] :
( ( ( ~ ( one @ ( in1 @ SV14 ) ) )
= $true )
| ( ( one @ ( out1 @ SV14 ) )
= $true )
| ( ( or_ok @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(435,plain,
! [SV15: $i] :
( ( ( ~ ( one @ ( in2 @ SV15 ) ) )
= $true )
| ( ( one @ ( out1 @ SV15 ) )
= $true )
| ( ( or_ok @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(436,plain,
! [SV16: $i] :
( ( ( ~ ( zero @ ( in1 @ SV16 ) ) )
= $true )
| ( ( ~ ( zero @ ( in2 @ SV16 ) )
| ( zero @ ( out1 @ SV16 ) ) )
= $true )
| ( ( or_ok @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(437,plain,
! [SV17: $i] :
( ( ( ~ ( one @ ( out1 @ SV17 ) ) )
= $true )
| ( ( ( one @ ( in1 @ SV17 ) )
| ( one @ ( in2 @ SV17 ) ) )
= $true )
| ( ( or_ok @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(438,plain,
! [SV18: $i] :
( ( ( ~ ( zero @ ( out1 @ SV18 ) ) )
= $true )
| ( ( zero @ ( in1 @ SV18 ) )
= $true )
| ( ( or_ok @ SV18 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(439,plain,
! [SV19: $i] :
( ( ( ~ ( zero @ ( out1 @ SV19 ) ) )
= $true )
| ( ( zero @ ( in2 @ SV19 ) )
= $true )
| ( ( or_ok @ SV19 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(440,plain,
! [SV20: $i] :
( ( ( abnormal @ SV20 )
= $false )
| ( ( or_ok @ SV20 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(441,plain,
! [SV21: $i] :
( ( ( abnormal @ SV21 )
= $true )
| ( ( or_ok @ SV21 )
= $true )
| ( ( logic_or @ SV21 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(442,plain,
! [SV22: $i] :
( ( ( ~ ( zero @ ( in1 @ SV22 ) ) )
= $true )
| ( ( one @ ( out1 @ SV22 ) )
= $true )
| ( ( not_ok @ SV22 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(443,plain,
! [SV23: $i] :
( ( ( ~ ( one @ ( in1 @ SV23 ) ) )
= $true )
| ( ( zero @ ( out1 @ SV23 ) )
= $true )
| ( ( not_ok @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(444,plain,
! [SV24: $i] :
( ( ( ~ ( zero @ ( out1 @ SV24 ) ) )
= $true )
| ( ( one @ ( in1 @ SV24 ) )
= $true )
| ( ( not_ok @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(445,plain,
! [SV25: $i] :
( ( ( ~ ( one @ ( out1 @ SV25 ) ) )
= $true )
| ( ( zero @ ( in1 @ SV25 ) )
= $true )
| ( ( not_ok @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(446,plain,
! [SV26: $i] :
( ( ( abnormal @ SV26 )
= $false )
| ( ( not_ok @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(447,plain,
! [SV27: $i] :
( ( ( abnormal @ SV27 )
= $true )
| ( ( not_ok @ SV27 )
= $true )
| ( ( logic_not @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(448,plain,
! [SV63: $i,SV1: $i] :
( ( ( ~ ( zero @ SV1 ) )
= $true )
| ( ( zero @ SV63 )
= $true )
| ( ( connection @ SV1 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(449,plain,
! [SV64: $i,SV2: $i] :
( ( ( ~ ( one @ SV2 ) )
= $true )
| ( ( one @ SV64 )
= $true )
| ( ( connection @ SV2 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(450,plain,
! [SV3: $i,SV65: $i] :
( ( ( ~ ( zero @ SV65 ) )
= $true )
| ( ( zero @ SV3 )
= $true )
| ( ( connection @ SV3 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(451,plain,
! [SV4: $i,SV66: $i] :
( ( ( ~ ( one @ SV66 ) )
= $true )
| ( ( one @ SV4 )
= $true )
| ( ( connection @ SV4 @ SV66 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(452,plain,
! [SV6: $i] :
( ( ( zero @ ( in1 @ SV6 ) )
= $false )
| ( ( zero @ ( out1 @ SV6 ) )
= $true )
| ( ( and_ok @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(453,plain,
! [SV7: $i] :
( ( ( zero @ ( in2 @ SV7 ) )
= $false )
| ( ( zero @ ( out1 @ SV7 ) )
= $true )
| ( ( and_ok @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(454,plain,
! [SV8: $i] :
( ( ( one @ ( in1 @ SV8 ) )
= $false )
| ( ( ~ ( one @ ( in2 @ SV8 ) )
| ( one @ ( out1 @ SV8 ) ) )
= $true )
| ( ( and_ok @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(455,plain,
! [SV9: $i] :
( ( ( zero @ ( out1 @ SV9 ) )
= $false )
| ( ( ( zero @ ( in1 @ SV9 ) )
| ( zero @ ( in2 @ SV9 ) ) )
= $true )
| ( ( and_ok @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(456,plain,
! [SV10: $i] :
( ( ( one @ ( out1 @ SV10 ) )
= $false )
| ( ( one @ ( in1 @ SV10 ) )
= $true )
| ( ( and_ok @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(457,plain,
! [SV11: $i] :
( ( ( one @ ( out1 @ SV11 ) )
= $false )
| ( ( one @ ( in2 @ SV11 ) )
= $true )
| ( ( and_ok @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(458,plain,
! [SV14: $i] :
( ( ( one @ ( in1 @ SV14 ) )
= $false )
| ( ( one @ ( out1 @ SV14 ) )
= $true )
| ( ( or_ok @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(459,plain,
! [SV15: $i] :
( ( ( one @ ( in2 @ SV15 ) )
= $false )
| ( ( one @ ( out1 @ SV15 ) )
= $true )
| ( ( or_ok @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(460,plain,
! [SV16: $i] :
( ( ( zero @ ( in1 @ SV16 ) )
= $false )
| ( ( ~ ( zero @ ( in2 @ SV16 ) )
| ( zero @ ( out1 @ SV16 ) ) )
= $true )
| ( ( or_ok @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(461,plain,
! [SV17: $i] :
( ( ( one @ ( out1 @ SV17 ) )
= $false )
| ( ( ( one @ ( in1 @ SV17 ) )
| ( one @ ( in2 @ SV17 ) ) )
= $true )
| ( ( or_ok @ SV17 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(462,plain,
! [SV18: $i] :
( ( ( zero @ ( out1 @ SV18 ) )
= $false )
| ( ( zero @ ( in1 @ SV18 ) )
= $true )
| ( ( or_ok @ SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(463,plain,
! [SV19: $i] :
( ( ( zero @ ( out1 @ SV19 ) )
= $false )
| ( ( zero @ ( in2 @ SV19 ) )
= $true )
| ( ( or_ok @ SV19 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(464,plain,
! [SV22: $i] :
( ( ( zero @ ( in1 @ SV22 ) )
= $false )
| ( ( one @ ( out1 @ SV22 ) )
= $true )
| ( ( not_ok @ SV22 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(465,plain,
! [SV23: $i] :
( ( ( one @ ( in1 @ SV23 ) )
= $false )
| ( ( zero @ ( out1 @ SV23 ) )
= $true )
| ( ( not_ok @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(466,plain,
! [SV24: $i] :
( ( ( zero @ ( out1 @ SV24 ) )
= $false )
| ( ( one @ ( in1 @ SV24 ) )
= $true )
| ( ( not_ok @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(467,plain,
! [SV25: $i] :
( ( ( one @ ( out1 @ SV25 ) )
= $false )
| ( ( zero @ ( in1 @ SV25 ) )
= $true )
| ( ( not_ok @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(468,plain,
! [SV63: $i,SV1: $i] :
( ( ( zero @ SV1 )
= $false )
| ( ( zero @ SV63 )
= $true )
| ( ( connection @ SV1 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(469,plain,
! [SV64: $i,SV2: $i] :
( ( ( one @ SV2 )
= $false )
| ( ( one @ SV64 )
= $true )
| ( ( connection @ SV2 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(470,plain,
! [SV3: $i,SV65: $i] :
( ( ( zero @ SV65 )
= $false )
| ( ( zero @ SV3 )
= $true )
| ( ( connection @ SV3 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(471,plain,
! [SV4: $i,SV66: $i] :
( ( ( one @ SV66 )
= $false )
| ( ( one @ SV4 )
= $true )
| ( ( connection @ SV4 @ SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(472,plain,
! [SV8: $i] :
( ( ( ~ ( one @ ( in2 @ SV8 ) ) )
= $true )
| ( ( one @ ( out1 @ SV8 ) )
= $true )
| ( ( one @ ( in1 @ SV8 ) )
= $false )
| ( ( and_ok @ SV8 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(473,plain,
! [SV9: $i] :
( ( ( zero @ ( in1 @ SV9 ) )
= $true )
| ( ( zero @ ( in2 @ SV9 ) )
= $true )
| ( ( zero @ ( out1 @ SV9 ) )
= $false )
| ( ( and_ok @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(474,plain,
! [SV16: $i] :
( ( ( ~ ( zero @ ( in2 @ SV16 ) ) )
= $true )
| ( ( zero @ ( out1 @ SV16 ) )
= $true )
| ( ( zero @ ( in1 @ SV16 ) )
= $false )
| ( ( or_ok @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(475,plain,
! [SV17: $i] :
( ( ( one @ ( in1 @ SV17 ) )
= $true )
| ( ( one @ ( in2 @ SV17 ) )
= $true )
| ( ( one @ ( out1 @ SV17 ) )
= $false )
| ( ( or_ok @ SV17 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[461]) ).
thf(476,plain,
! [SV8: $i] :
( ( ( one @ ( in2 @ SV8 ) )
= $false )
| ( ( one @ ( out1 @ SV8 ) )
= $true )
| ( ( one @ ( in1 @ SV8 ) )
= $false )
| ( ( and_ok @ SV8 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(477,plain,
! [SV16: $i] :
( ( ( zero @ ( in2 @ SV16 ) )
= $false )
| ( ( zero @ ( out1 @ SV16 ) )
= $true )
| ( ( zero @ ( in1 @ SV16 ) )
= $false )
| ( ( or_ok @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(478,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[159,477,476,475,473,471,470,469,468,467,466,465,464,463,462,459,458,457,456,453,452,447,446,441,440,433,432,425,420,419,418,417,416,415,414,413,412,411,410,409,408,407,406,405,404,403,402,401,400,399,398,397,396,395,394,393,392,391,390,389,388,387,386,296,233,232,231,167,166,165,164,163,162,161,160]) ).
thf(479,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV008-2.002 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.14 % Computer : n016.cluster.edu
% 0.08/0.14 % Model : x86_64 x86_64
% 0.08/0.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.14 % Memory : 8046.5625MB
% 0.08/0.14 % OS : Linux 6.8.0-71-generic
% 0.08/0.14 % CPULimit : 300
% 0.08/0.14 % WCLimit : 300
% 0.08/0.14 % DateTime : Tue Oct 6 11:01:59 UTC 2026
% 0.08/0.15 % CPUTime :
% 0.08/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.25/1.62
% 8.25/1.62 No.of.Axioms: 74
% 8.25/1.62
% 8.25/1.62 Length.of.Defs: 0
% 8.25/1.62
% 8.25/1.62 Contains.Choice.Funs: false
% 8.25/1.62 ..........
% 8.25/1.62
% 8.25/1.62 ********************************
% 8.25/1.62 * All subproblems solved! *
% 8.25/1.62 ********************************
% 8.25/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:74,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:478,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 8.25/1.62
% 8.25/1.62 %**** Beginning of derivation protocol ****
% 8.25/1.62 % SZS output start CNFRefutation
% See solution above
% 8.25/1.62
% 8.25/1.62 %**** End of derivation protocol ****
% 8.25/1.62 %**** no. of clauses in derivation: 479 ****
% 8.25/1.62 %**** clause counter: 478 ****
% 8.25/1.62
% 8.25/1.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:74,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:5,ordering:none,proof_output:1,protocol_output:false,clause_count:478,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------