TSTP Solution File: HWV007-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : HWV007-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n019.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 18:17:42 EDT 2022
% Result : Unsatisfiable 4.64s 4.85s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 83
% Syntax : Number of formulae : 431 ( 184 unt; 26 typ; 0 def)
% Number of atoms : 2428 ( 634 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 5009 ( 560 ~; 755 |; 0 &;3694 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 15 con; 0-2 aty)
% Number of variables : 442 ( 0 ^ 442 !; 0 ?; 442 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_abnormal,type,
abnormal: $i ).
thf(tp_and,type,
and: $i ).
thf(tp_and1,type,
and1: $i > $i ).
thf(tp_and2,type,
and2: $i > $i ).
thf(tp_c,type,
c: $i ).
thf(tp_connection,type,
connection: $i > $i > $o ).
thf(tp_equal_value,type,
equal_value: $i > $i > $o ).
thf(tp_f,type,
f: $i ).
thf(tp_fulladder,type,
fulladder: $i ).
thf(tp_h1,type,
h1: $i > $i ).
thf(tp_h2,type,
h2: $i > $i ).
thf(tp_halfadder,type,
halfadder: $i ).
thf(tp_in,type,
in: $i > $i > $i ).
thf(tp_mode,type,
mode: $i > $i > $o ).
thf(tp_n0,type,
n0: $i ).
thf(tp_n1,type,
n1: $i ).
thf(tp_n2,type,
n2: $i ).
thf(tp_not,type,
not: $i ).
thf(tp_not1,type,
not1: $i > $i ).
thf(tp_ok,type,
ok: $i ).
thf(tp_or,type,
or: $i ).
thf(tp_or1,type,
or1: $i > $i ).
thf(tp_out,type,
out: $i > $i > $i ).
thf(tp_s,type,
s: $i ).
thf(tp_type,type,
type: $i > $i > $o ).
thf(tp_value,type,
value: $i > $i > $o ).
thf(1,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ X ) @ ( out @ n1 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).
thf(2,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ s @ X ) @ ( out @ s @ ( h2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).
thf(3,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ c @ X ) @ ( in @ n2 @ ( h1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).
thf(4,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n1 @ ( h1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).
thf(5,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( h2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).
thf(6,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ ( h2 @ X ) ) @ ( in @ n1 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).
thf(7,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ ( h1 @ X ) ) @ ( in @ n2 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outch1_in2or1) ).
thf(8,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ s @ ( h1 @ X ) ) @ ( in @ n2 @ ( h2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).
thf(9,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( or1 @ X ) @ or ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_or1) ).
thf(10,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( h2 @ X ) @ halfadder ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder2) ).
thf(11,axiom,
! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( h1 @ X ) @ halfadder ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fulladder_halfadder1) ).
thf(12,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( not1 @ X ) ) @ ( in @ n2 @ ( and1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).
thf(13,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( and2 @ X ) ) @ ( in @ n1 @ ( not1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).
thf(14,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( or1 @ X ) ) @ ( in @ n1 @ ( and1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).
thf(15,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ c @ X ) @ ( out @ n1 @ ( and2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).
thf(16,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ s @ X ) @ ( out @ n1 @ ( and1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).
thf(17,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n2 @ ( and2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).
thf(18,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( and2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).
thf(19,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n2 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).
thf(20,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( or1 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_connection_in1_in1or1) ).
thf(21,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( or1 @ X ) @ or ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_or1) ).
thf(22,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( not1 @ X ) @ not ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_not1) ).
thf(23,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( and2 @ X ) @ and ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and2) ).
thf(24,axiom,
! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( and1 @ X ) @ and ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',halfadder_and1) ).
thf(25,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_bw) ).
thf(26,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_bw) ).
thf(27,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( in @ n1 @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_1_0_fw) ).
thf(28,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( in @ n1 @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_0_1_fw) ).
thf(29,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n2 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_0_01) ).
thf(30,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_0_0x) ).
thf(31,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n1 )
| ( value @ ( in @ n2 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1_11) ).
thf(32,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( in @ n1 @ K ) @ n0 )
| ~ ( value @ ( in @ n2 @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_00_0) ).
thf(33,axiom,
! [K: $i,Any: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( in @ Any @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1x_1) ).
thf(34,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n2 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_x1) ).
thf(35,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_1_1x) ).
thf(36,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n0 )
| ( value @ ( in @ n2 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0_00) ).
thf(37,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( in @ n1 @ K ) @ n1 )
| ~ ( value @ ( in @ n2 @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_11_1) ).
thf(38,axiom,
! [K: $i,Any: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( in @ Any @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_0x_0) ).
thf(39,axiom,
! [K: $i,Any: $i] :
( ~ ( type @ K @ Any )
| ( mode @ K @ ok )
| ( mode @ K @ abnormal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ok_or_abnormal) ).
thf(40,axiom,
! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( mode @ K @ abnormal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_ok_and_abnormal) ).
thf(41,axiom,
~ ( equal_value @ n1 @ n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_value2) ).
thf(42,axiom,
~ ( equal_value @ n0 @ n1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_value1) ).
thf(43,axiom,
! [P: $i,V1: $i,V2: $i] :
( ~ ( value @ P @ V1 )
| ~ ( value @ P @ V2 )
| ( equal_value @ V1 @ V2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_value) ).
thf(44,axiom,
! [P1: $i,P2: $i,V: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( value @ P2 @ V )
| ( value @ P1 @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation2) ).
thf(45,axiom,
! [P1: $i,P2: $i,V: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( value @ P1 @ V )
| ( value @ P2 @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',value_propagation1) ).
thf(46,axiom,
value @ ( out @ c @ f ) @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
thf(47,axiom,
value @ ( out @ s @ f ) @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
thf(48,axiom,
value @ ( in @ c @ f ) @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
thf(49,axiom,
value @ ( in @ n2 @ f ) @ n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
thf(50,axiom,
value @ ( in @ n1 @ f ) @ n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
thf(51,axiom,
type @ f @ fulladder,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
thf(52,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(53,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[52]) ).
thf(54,negated_conjecture,
( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( or1 @ ( h2 @ f ) ) @ abnormal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).
thf(55,negated_conjecture,
( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( and1 @ ( h2 @ f ) ) @ abnormal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
thf(56,negated_conjecture,
( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( not1 @ ( h1 @ f ) ) @ abnormal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).
thf(57,negated_conjecture,
( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( and1 @ ( h1 @ f ) ) @ abnormal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).
thf(58,negated_conjecture,
~ ( mode @ ( and2 @ ( h1 @ f ) ) @ abnormal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
thf(59,plain,
$false = $false,
inference(unfold_def,[status(thm)],[53]) ).
thf(60,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ X ) @ ( out @ n1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(61,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ s @ X ) @ ( out @ s @ ( h2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(62,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ c @ X ) @ ( in @ n2 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(63,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n1 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(64,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(65,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ ( h2 @ X ) ) @ ( in @ n1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(66,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ ( h1 @ X ) ) @ ( in @ n2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(67,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ s @ ( h1 @ X ) ) @ ( in @ n2 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(68,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( or1 @ X ) @ or ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(69,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( h2 @ X ) @ halfadder ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(70,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( h1 @ X ) @ halfadder ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(71,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( not1 @ X ) ) @ ( in @ n2 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(72,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( and2 @ X ) ) @ ( in @ n1 @ ( not1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(73,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( or1 @ X ) ) @ ( in @ n1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(74,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ c @ X ) @ ( out @ n1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(75,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ s @ X ) @ ( out @ n1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(76,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n2 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(77,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(78,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(79,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(80,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( or1 @ X ) @ or ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(81,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( not1 @ X ) @ not ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(82,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( and2 @ X ) @ and ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(83,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( and1 @ X ) @ and ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(84,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(85,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(86,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( in @ n1 @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(87,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( in @ n1 @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(88,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n2 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(89,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(90,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n1 )
| ( value @ ( in @ n2 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(91,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( in @ n1 @ K ) @ n0 )
| ~ ( value @ ( in @ n2 @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(92,plain,
( ( ! [K: $i,Any: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( in @ Any @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(93,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n2 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(94,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(95,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n0 )
| ( value @ ( in @ n2 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(96,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( in @ n1 @ K ) @ n1 )
| ~ ( value @ ( in @ n2 @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(97,plain,
( ( ! [K: $i,Any: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( in @ Any @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(98,plain,
( ( ! [K: $i,Any: $i] :
( ~ ( type @ K @ Any )
| ( mode @ K @ ok )
| ( mode @ K @ abnormal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(99,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( mode @ K @ abnormal ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(100,plain,
( ( ~ ( equal_value @ n1 @ n0 ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(101,plain,
( ( ~ ( equal_value @ n0 @ n1 ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(102,plain,
( ( ! [P: $i,V1: $i,V2: $i] :
( ~ ( value @ P @ V1 )
| ~ ( value @ P @ V2 )
| ( equal_value @ V1 @ V2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(103,plain,
( ( ! [P1: $i,P2: $i,V: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( value @ P2 @ V )
| ( value @ P1 @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(104,plain,
( ( ! [P1: $i,P2: $i,V: $i] :
( ~ ( connection @ P1 @ P2 )
| ~ ( value @ P1 @ V )
| ( value @ P2 @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(105,plain,
( ( value @ ( out @ c @ f ) @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(106,plain,
( ( value @ ( out @ s @ f ) @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(107,plain,
( ( value @ ( in @ c @ f ) @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(108,plain,
( ( value @ ( in @ n2 @ f ) @ n1 )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(109,plain,
( ( value @ ( in @ n1 @ f ) @ n0 )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(110,plain,
( ( type @ f @ fulladder )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(111,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( or1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(112,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( and1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(113,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( not1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(114,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( and1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(115,plain,
( ( ~ ( mode @ ( and2 @ ( h1 @ f ) ) @ abnormal ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(116,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[59]) ).
thf(117,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ! [Any: $i] :
~ ( value @ ( in @ Any @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(118,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ! [Any: $i] :
~ ( value @ ( in @ Any @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[97]) ).
thf(119,plain,
( ( ! [K: $i] :
( ! [Any: $i] :
~ ( type @ K @ Any )
| ( mode @ K @ ok )
| ( mode @ K @ abnormal ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[98]) ).
thf(120,plain,
( ( ! [P: $i,V1: $i] :
( ~ ( value @ P @ V1 )
| ! [V2: $i] :
( ~ ( value @ P @ V2 )
| ( equal_value @ V1 @ V2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[102]) ).
thf(121,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ! [V: $i] :
( ~ ( value @ P2 @ V )
| ( value @ P1 @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[103]) ).
thf(122,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ! [V: $i] :
( ~ ( value @ P1 @ V )
| ( value @ P2 @ V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[104]) ).
thf(123,plain,
( ( ~ ( mode @ ( and2 @ ( h1 @ f ) ) @ abnormal ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(124,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( and1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(125,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( not1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(126,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( and1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(127,plain,
( ( ~ ( mode @ ( or1 @ f ) @ abnormal )
| ~ ( mode @ ( or1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(128,plain,
( ( type @ f @ fulladder )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(129,plain,
( ( value @ ( in @ n1 @ f ) @ n0 )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(130,plain,
( ( value @ ( in @ n2 @ f ) @ n1 )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(131,plain,
( ( value @ ( in @ c @ f ) @ n1 )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(132,plain,
( ( value @ ( out @ s @ f ) @ n1 )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(133,plain,
( ( value @ ( out @ c @ f ) @ n0 )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(134,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ! [V: $i] :
( ~ ( value @ P1 @ V )
| ( value @ P2 @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(135,plain,
( ( ! [P1: $i,P2: $i] :
( ~ ( connection @ P1 @ P2 )
| ! [V: $i] :
( ~ ( value @ P2 @ V )
| ( value @ P1 @ V ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(136,plain,
( ( ! [P: $i,V1: $i] :
( ~ ( value @ P @ V1 )
| ! [V2: $i] :
( ~ ( value @ P @ V2 )
| ( equal_value @ V1 @ V2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(137,plain,
( ( ~ ( equal_value @ n0 @ n1 ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(138,plain,
( ( ~ ( equal_value @ n1 @ n0 ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(139,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( mode @ K @ abnormal ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(140,plain,
( ( ! [K: $i] :
( ! [Any: $i] :
~ ( type @ K @ Any )
| ( mode @ K @ ok )
| ( mode @ K @ abnormal ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(141,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ! [Any: $i] :
~ ( value @ ( in @ Any @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(142,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( in @ n1 @ K ) @ n1 )
| ~ ( value @ ( in @ n2 @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(143,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n0 )
| ( value @ ( in @ n2 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(144,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(145,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ and )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n2 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(146,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ! [Any: $i] :
~ ( value @ ( in @ Any @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(147,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( in @ n1 @ K ) @ n0 )
| ~ ( value @ ( in @ n2 @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(148,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n1 )
| ( value @ ( in @ n2 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(149,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(150,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ or )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n2 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(151,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( in @ n1 @ K ) @ n0 )
| ( value @ ( out @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(152,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( in @ n1 @ K ) @ n1 )
| ( value @ ( out @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(153,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( out @ n1 @ K ) @ n0 )
| ( value @ ( in @ n1 @ K ) @ n1 ) ) )
= $true ),
inference(copy,[status(thm)],[85]) ).
thf(154,plain,
( ( ! [K: $i] :
( ~ ( mode @ K @ ok )
| ~ ( type @ K @ not )
| ~ ( value @ ( out @ n1 @ K ) @ n1 )
| ( value @ ( in @ n1 @ K ) @ n0 ) ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(155,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( and1 @ X ) @ and ) ) )
= $true ),
inference(copy,[status(thm)],[83]) ).
thf(156,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( and2 @ X ) @ and ) ) )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(157,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( not1 @ X ) @ not ) ) )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(158,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( type @ ( or1 @ X ) @ or ) ) )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(159,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(160,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(161,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(162,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n2 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(163,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ s @ X ) @ ( out @ n1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(164,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ c @ X ) @ ( out @ n1 @ ( and2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(165,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( or1 @ X ) ) @ ( in @ n1 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(166,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( and2 @ X ) ) @ ( in @ n1 @ ( not1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(167,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ halfadder )
| ( connection @ ( out @ n1 @ ( not1 @ X ) ) @ ( in @ n2 @ ( and1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(168,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( h1 @ X ) @ halfadder ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(169,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( h2 @ X ) @ halfadder ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(170,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( type @ ( or1 @ X ) @ or ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(171,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ s @ ( h1 @ X ) ) @ ( in @ n2 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(172,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ ( h1 @ X ) ) @ ( in @ n2 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(173,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ ( h2 @ X ) ) @ ( in @ n1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(174,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ n1 @ X ) @ ( in @ n1 @ ( h2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(175,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ n2 @ X ) @ ( in @ n1 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(176,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( in @ c @ X ) @ ( in @ n2 @ ( h1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(177,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ s @ X ) @ ( out @ s @ ( h2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(178,plain,
( ( ! [X: $i] :
( ~ ( type @ X @ fulladder )
| ( connection @ ( out @ c @ X ) @ ( out @ n1 @ ( or1 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(179,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(180,plain,
( ( mode @ ( and2 @ ( h1 @ f ) ) @ abnormal )
= $false ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(181,plain,
( ( ( ~ ( mode @ ( or1 @ f ) @ abnormal ) )
= $true )
| ( ( ~ ( mode @ ( and1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(182,plain,
( ( ( ~ ( mode @ ( or1 @ f ) @ abnormal ) )
= $true )
| ( ( ~ ( mode @ ( not1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(183,plain,
( ( ( ~ ( mode @ ( or1 @ f ) @ abnormal ) )
= $true )
| ( ( ~ ( mode @ ( and1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(184,plain,
( ( ( ~ ( mode @ ( or1 @ f ) @ abnormal ) )
= $true )
| ( ( ~ ( mode @ ( or1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(185,plain,
! [SV1: $i] :
( ( ! [SY52: $i] :
( ~ ( connection @ SV1 @ SY52 )
| ! [SY53: $i] :
( ~ ( value @ SV1 @ SY53 )
| ( value @ SY52 @ SY53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(186,plain,
! [SV2: $i] :
( ( ! [SY54: $i] :
( ~ ( connection @ SV2 @ SY54 )
| ! [SY55: $i] :
( ~ ( value @ SY54 @ SY55 )
| ( value @ SV2 @ SY55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(187,plain,
! [SV3: $i] :
( ( ! [SY56: $i] :
( ~ ( value @ SV3 @ SY56 )
| ! [SY57: $i] :
( ~ ( value @ SV3 @ SY57 )
| ( equal_value @ SY56 @ SY57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(188,plain,
( ( equal_value @ n0 @ n1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(189,plain,
( ( equal_value @ n1 @ n0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[138]) ).
thf(190,plain,
! [SV4: $i] :
( ( ~ ( mode @ SV4 @ ok )
| ~ ( mode @ SV4 @ abnormal ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(191,plain,
! [SV5: $i] :
( ( ! [SY58: $i] :
~ ( type @ SV5 @ SY58 )
| ( mode @ SV5 @ ok )
| ( mode @ SV5 @ abnormal ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(192,plain,
! [SV6: $i] :
( ( ~ ( mode @ SV6 @ ok )
| ~ ( type @ SV6 @ and )
| ! [SY59: $i] :
~ ( value @ ( in @ SY59 @ SV6 ) @ n0 )
| ( value @ ( out @ n1 @ SV6 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(193,plain,
! [SV7: $i] :
( ( ~ ( mode @ SV7 @ ok )
| ~ ( type @ SV7 @ and )
| ~ ( value @ ( in @ n1 @ SV7 ) @ n1 )
| ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(194,plain,
! [SV8: $i] :
( ( ~ ( mode @ SV8 @ ok )
| ~ ( type @ SV8 @ and )
| ~ ( value @ ( out @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(195,plain,
! [SV9: $i] :
( ( ~ ( mode @ SV9 @ ok )
| ~ ( type @ SV9 @ and )
| ~ ( value @ ( out @ n1 @ SV9 ) @ n1 )
| ( value @ ( in @ n1 @ SV9 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(196,plain,
! [SV10: $i] :
( ( ~ ( mode @ SV10 @ ok )
| ~ ( type @ SV10 @ and )
| ~ ( value @ ( out @ n1 @ SV10 ) @ n1 )
| ( value @ ( in @ n2 @ SV10 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(197,plain,
! [SV11: $i] :
( ( ~ ( mode @ SV11 @ ok )
| ~ ( type @ SV11 @ or )
| ! [SY60: $i] :
~ ( value @ ( in @ SY60 @ SV11 ) @ n1 )
| ( value @ ( out @ n1 @ SV11 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(198,plain,
! [SV12: $i] :
( ( ~ ( mode @ SV12 @ ok )
| ~ ( type @ SV12 @ or )
| ~ ( value @ ( in @ n1 @ SV12 ) @ n0 )
| ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(199,plain,
! [SV13: $i] :
( ( ~ ( mode @ SV13 @ ok )
| ~ ( type @ SV13 @ or )
| ~ ( value @ ( out @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(200,plain,
! [SV14: $i] :
( ( ~ ( mode @ SV14 @ ok )
| ~ ( type @ SV14 @ or )
| ~ ( value @ ( out @ n1 @ SV14 ) @ n0 )
| ( value @ ( in @ n1 @ SV14 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(201,plain,
! [SV15: $i] :
( ( ~ ( mode @ SV15 @ ok )
| ~ ( type @ SV15 @ or )
| ~ ( value @ ( out @ n1 @ SV15 ) @ n0 )
| ( value @ ( in @ n2 @ SV15 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(202,plain,
! [SV16: $i] :
( ( ~ ( mode @ SV16 @ ok )
| ~ ( type @ SV16 @ not )
| ~ ( value @ ( in @ n1 @ SV16 ) @ n0 )
| ( value @ ( out @ n1 @ SV16 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(203,plain,
! [SV17: $i] :
( ( ~ ( mode @ SV17 @ ok )
| ~ ( type @ SV17 @ not )
| ~ ( value @ ( in @ n1 @ SV17 ) @ n1 )
| ( value @ ( out @ n1 @ SV17 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(204,plain,
! [SV18: $i] :
( ( ~ ( mode @ SV18 @ ok )
| ~ ( type @ SV18 @ not )
| ~ ( value @ ( out @ n1 @ SV18 ) @ n0 )
| ( value @ ( in @ n1 @ SV18 ) @ n1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(205,plain,
! [SV19: $i] :
( ( ~ ( mode @ SV19 @ ok )
| ~ ( type @ SV19 @ not )
| ~ ( value @ ( out @ n1 @ SV19 ) @ n1 )
| ( value @ ( in @ n1 @ SV19 ) @ n0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(206,plain,
! [SV20: $i] :
( ( ~ ( type @ SV20 @ halfadder )
| ( type @ ( and1 @ SV20 ) @ and ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(207,plain,
! [SV21: $i] :
( ( ~ ( type @ SV21 @ halfadder )
| ( type @ ( and2 @ SV21 ) @ and ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(208,plain,
! [SV22: $i] :
( ( ~ ( type @ SV22 @ halfadder )
| ( type @ ( not1 @ SV22 ) @ not ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(209,plain,
! [SV23: $i] :
( ( ~ ( type @ SV23 @ halfadder )
| ( type @ ( or1 @ SV23 ) @ or ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(210,plain,
! [SV24: $i] :
( ( ~ ( type @ SV24 @ halfadder )
| ( connection @ ( in @ n1 @ SV24 ) @ ( in @ n1 @ ( or1 @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(211,plain,
! [SV25: $i] :
( ( ~ ( type @ SV25 @ halfadder )
| ( connection @ ( in @ n2 @ SV25 ) @ ( in @ n2 @ ( or1 @ SV25 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(212,plain,
! [SV26: $i] :
( ( ~ ( type @ SV26 @ halfadder )
| ( connection @ ( in @ n1 @ SV26 ) @ ( in @ n1 @ ( and2 @ SV26 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(213,plain,
! [SV27: $i] :
( ( ~ ( type @ SV27 @ halfadder )
| ( connection @ ( in @ n2 @ SV27 ) @ ( in @ n2 @ ( and2 @ SV27 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(214,plain,
! [SV28: $i] :
( ( ~ ( type @ SV28 @ halfadder )
| ( connection @ ( out @ s @ SV28 ) @ ( out @ n1 @ ( and1 @ SV28 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(215,plain,
! [SV29: $i] :
( ( ~ ( type @ SV29 @ halfadder )
| ( connection @ ( out @ c @ SV29 ) @ ( out @ n1 @ ( and2 @ SV29 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(216,plain,
! [SV30: $i] :
( ( ~ ( type @ SV30 @ halfadder )
| ( connection @ ( out @ n1 @ ( or1 @ SV30 ) ) @ ( in @ n1 @ ( and1 @ SV30 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(217,plain,
! [SV31: $i] :
( ( ~ ( type @ SV31 @ halfadder )
| ( connection @ ( out @ n1 @ ( and2 @ SV31 ) ) @ ( in @ n1 @ ( not1 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(218,plain,
! [SV32: $i] :
( ( ~ ( type @ SV32 @ halfadder )
| ( connection @ ( out @ n1 @ ( not1 @ SV32 ) ) @ ( in @ n2 @ ( and1 @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(219,plain,
! [SV33: $i] :
( ( ~ ( type @ SV33 @ fulladder )
| ( type @ ( h1 @ SV33 ) @ halfadder ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(220,plain,
! [SV34: $i] :
( ( ~ ( type @ SV34 @ fulladder )
| ( type @ ( h2 @ SV34 ) @ halfadder ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(221,plain,
! [SV35: $i] :
( ( ~ ( type @ SV35 @ fulladder )
| ( type @ ( or1 @ SV35 ) @ or ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(222,plain,
! [SV36: $i] :
( ( ~ ( type @ SV36 @ fulladder )
| ( connection @ ( out @ s @ ( h1 @ SV36 ) ) @ ( in @ n2 @ ( h2 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(223,plain,
! [SV37: $i] :
( ( ~ ( type @ SV37 @ fulladder )
| ( connection @ ( out @ c @ ( h1 @ SV37 ) ) @ ( in @ n2 @ ( or1 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(224,plain,
! [SV38: $i] :
( ( ~ ( type @ SV38 @ fulladder )
| ( connection @ ( out @ c @ ( h2 @ SV38 ) ) @ ( in @ n1 @ ( or1 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(225,plain,
! [SV39: $i] :
( ( ~ ( type @ SV39 @ fulladder )
| ( connection @ ( in @ n1 @ SV39 ) @ ( in @ n1 @ ( h2 @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(226,plain,
! [SV40: $i] :
( ( ~ ( type @ SV40 @ fulladder )
| ( connection @ ( in @ n2 @ SV40 ) @ ( in @ n1 @ ( h1 @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(227,plain,
! [SV41: $i] :
( ( ~ ( type @ SV41 @ fulladder )
| ( connection @ ( in @ c @ SV41 ) @ ( in @ n2 @ ( h1 @ SV41 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(228,plain,
! [SV42: $i] :
( ( ~ ( type @ SV42 @ fulladder )
| ( connection @ ( out @ s @ SV42 ) @ ( out @ s @ ( h2 @ SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(229,plain,
! [SV43: $i] :
( ( ~ ( type @ SV43 @ fulladder )
| ( connection @ ( out @ c @ SV43 ) @ ( out @ n1 @ ( or1 @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(230,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(231,plain,
( ( ( mode @ ( or1 @ f ) @ abnormal )
= $false )
| ( ( ~ ( mode @ ( and1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(232,plain,
( ( ( mode @ ( or1 @ f ) @ abnormal )
= $false )
| ( ( ~ ( mode @ ( not1 @ ( h1 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(233,plain,
( ( ( mode @ ( or1 @ f ) @ abnormal )
= $false )
| ( ( ~ ( mode @ ( and1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(234,plain,
( ( ( mode @ ( or1 @ f ) @ abnormal )
= $false )
| ( ( ~ ( mode @ ( or1 @ ( h2 @ f ) ) @ abnormal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(235,plain,
! [SV44: $i,SV1: $i] :
( ( ~ ( connection @ SV1 @ SV44 )
| ! [SY61: $i] :
( ~ ( value @ SV1 @ SY61 )
| ( value @ SV44 @ SY61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(236,plain,
! [SV45: $i,SV2: $i] :
( ( ~ ( connection @ SV2 @ SV45 )
| ! [SY62: $i] :
( ~ ( value @ SV45 @ SY62 )
| ( value @ SV2 @ SY62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(237,plain,
! [SV46: $i,SV3: $i] :
( ( ~ ( value @ SV3 @ SV46 )
| ! [SY63: $i] :
( ~ ( value @ SV3 @ SY63 )
| ( equal_value @ SV46 @ SY63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(238,plain,
! [SV4: $i] :
( ( ( ~ ( mode @ SV4 @ ok ) )
= $true )
| ( ( ~ ( mode @ SV4 @ abnormal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(239,plain,
! [SV5: $i] :
( ( ( ! [SY58: $i] :
~ ( type @ SV5 @ SY58 ) )
= $true )
| ( ( ( mode @ SV5 @ ok )
| ( mode @ SV5 @ abnormal ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(240,plain,
! [SV6: $i] :
( ( ( ~ ( mode @ SV6 @ ok ) )
= $true )
| ( ( ~ ( type @ SV6 @ and )
| ! [SY59: $i] :
~ ( value @ ( in @ SY59 @ SV6 ) @ n0 )
| ( value @ ( out @ n1 @ SV6 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[192]) ).
thf(241,plain,
! [SV7: $i] :
( ( ( ~ ( mode @ SV7 @ ok ) )
= $true )
| ( ( ~ ( type @ SV7 @ and )
| ~ ( value @ ( in @ n1 @ SV7 ) @ n1 )
| ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[193]) ).
thf(242,plain,
! [SV8: $i] :
( ( ( ~ ( mode @ SV8 @ ok ) )
= $true )
| ( ( ~ ( type @ SV8 @ and )
| ~ ( value @ ( out @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(243,plain,
! [SV9: $i] :
( ( ( ~ ( mode @ SV9 @ ok ) )
= $true )
| ( ( ~ ( type @ SV9 @ and )
| ~ ( value @ ( out @ n1 @ SV9 ) @ n1 )
| ( value @ ( in @ n1 @ SV9 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(244,plain,
! [SV10: $i] :
( ( ( ~ ( mode @ SV10 @ ok ) )
= $true )
| ( ( ~ ( type @ SV10 @ and )
| ~ ( value @ ( out @ n1 @ SV10 ) @ n1 )
| ( value @ ( in @ n2 @ SV10 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(245,plain,
! [SV11: $i] :
( ( ( ~ ( mode @ SV11 @ ok ) )
= $true )
| ( ( ~ ( type @ SV11 @ or )
| ! [SY60: $i] :
~ ( value @ ( in @ SY60 @ SV11 ) @ n1 )
| ( value @ ( out @ n1 @ SV11 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(246,plain,
! [SV12: $i] :
( ( ( ~ ( mode @ SV12 @ ok ) )
= $true )
| ( ( ~ ( type @ SV12 @ or )
| ~ ( value @ ( in @ n1 @ SV12 ) @ n0 )
| ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(247,plain,
! [SV13: $i] :
( ( ( ~ ( mode @ SV13 @ ok ) )
= $true )
| ( ( ~ ( type @ SV13 @ or )
| ~ ( value @ ( out @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(248,plain,
! [SV14: $i] :
( ( ( ~ ( mode @ SV14 @ ok ) )
= $true )
| ( ( ~ ( type @ SV14 @ or )
| ~ ( value @ ( out @ n1 @ SV14 ) @ n0 )
| ( value @ ( in @ n1 @ SV14 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(249,plain,
! [SV15: $i] :
( ( ( ~ ( mode @ SV15 @ ok ) )
= $true )
| ( ( ~ ( type @ SV15 @ or )
| ~ ( value @ ( out @ n1 @ SV15 ) @ n0 )
| ( value @ ( in @ n2 @ SV15 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[201]) ).
thf(250,plain,
! [SV16: $i] :
( ( ( ~ ( mode @ SV16 @ ok ) )
= $true )
| ( ( ~ ( type @ SV16 @ not )
| ~ ( value @ ( in @ n1 @ SV16 ) @ n0 )
| ( value @ ( out @ n1 @ SV16 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(251,plain,
! [SV17: $i] :
( ( ( ~ ( mode @ SV17 @ ok ) )
= $true )
| ( ( ~ ( type @ SV17 @ not )
| ~ ( value @ ( in @ n1 @ SV17 ) @ n1 )
| ( value @ ( out @ n1 @ SV17 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[203]) ).
thf(252,plain,
! [SV18: $i] :
( ( ( ~ ( mode @ SV18 @ ok ) )
= $true )
| ( ( ~ ( type @ SV18 @ not )
| ~ ( value @ ( out @ n1 @ SV18 ) @ n0 )
| ( value @ ( in @ n1 @ SV18 ) @ n1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(253,plain,
! [SV19: $i] :
( ( ( ~ ( mode @ SV19 @ ok ) )
= $true )
| ( ( ~ ( type @ SV19 @ not )
| ~ ( value @ ( out @ n1 @ SV19 ) @ n1 )
| ( value @ ( in @ n1 @ SV19 ) @ n0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[205]) ).
thf(254,plain,
! [SV20: $i] :
( ( ( ~ ( type @ SV20 @ halfadder ) )
= $true )
| ( ( type @ ( and1 @ SV20 ) @ and )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(255,plain,
! [SV21: $i] :
( ( ( ~ ( type @ SV21 @ halfadder ) )
= $true )
| ( ( type @ ( and2 @ SV21 ) @ and )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[207]) ).
thf(256,plain,
! [SV22: $i] :
( ( ( ~ ( type @ SV22 @ halfadder ) )
= $true )
| ( ( type @ ( not1 @ SV22 ) @ not )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(257,plain,
! [SV23: $i] :
( ( ( ~ ( type @ SV23 @ halfadder ) )
= $true )
| ( ( type @ ( or1 @ SV23 ) @ or )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(258,plain,
! [SV24: $i] :
( ( ( ~ ( type @ SV24 @ halfadder ) )
= $true )
| ( ( connection @ ( in @ n1 @ SV24 ) @ ( in @ n1 @ ( or1 @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(259,plain,
! [SV25: $i] :
( ( ( ~ ( type @ SV25 @ halfadder ) )
= $true )
| ( ( connection @ ( in @ n2 @ SV25 ) @ ( in @ n2 @ ( or1 @ SV25 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(260,plain,
! [SV26: $i] :
( ( ( ~ ( type @ SV26 @ halfadder ) )
= $true )
| ( ( connection @ ( in @ n1 @ SV26 ) @ ( in @ n1 @ ( and2 @ SV26 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(261,plain,
! [SV27: $i] :
( ( ( ~ ( type @ SV27 @ halfadder ) )
= $true )
| ( ( connection @ ( in @ n2 @ SV27 ) @ ( in @ n2 @ ( and2 @ SV27 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[213]) ).
thf(262,plain,
! [SV28: $i] :
( ( ( ~ ( type @ SV28 @ halfadder ) )
= $true )
| ( ( connection @ ( out @ s @ SV28 ) @ ( out @ n1 @ ( and1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(263,plain,
! [SV29: $i] :
( ( ( ~ ( type @ SV29 @ halfadder ) )
= $true )
| ( ( connection @ ( out @ c @ SV29 ) @ ( out @ n1 @ ( and2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[215]) ).
thf(264,plain,
! [SV30: $i] :
( ( ( ~ ( type @ SV30 @ halfadder ) )
= $true )
| ( ( connection @ ( out @ n1 @ ( or1 @ SV30 ) ) @ ( in @ n1 @ ( and1 @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(265,plain,
! [SV31: $i] :
( ( ( ~ ( type @ SV31 @ halfadder ) )
= $true )
| ( ( connection @ ( out @ n1 @ ( and2 @ SV31 ) ) @ ( in @ n1 @ ( not1 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[217]) ).
thf(266,plain,
! [SV32: $i] :
( ( ( ~ ( type @ SV32 @ halfadder ) )
= $true )
| ( ( connection @ ( out @ n1 @ ( not1 @ SV32 ) ) @ ( in @ n2 @ ( and1 @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(267,plain,
! [SV33: $i] :
( ( ( ~ ( type @ SV33 @ fulladder ) )
= $true )
| ( ( type @ ( h1 @ SV33 ) @ halfadder )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(268,plain,
! [SV34: $i] :
( ( ( ~ ( type @ SV34 @ fulladder ) )
= $true )
| ( ( type @ ( h2 @ SV34 ) @ halfadder )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(269,plain,
! [SV35: $i] :
( ( ( ~ ( type @ SV35 @ fulladder ) )
= $true )
| ( ( type @ ( or1 @ SV35 ) @ or )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(270,plain,
! [SV36: $i] :
( ( ( ~ ( type @ SV36 @ fulladder ) )
= $true )
| ( ( connection @ ( out @ s @ ( h1 @ SV36 ) ) @ ( in @ n2 @ ( h2 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(271,plain,
! [SV37: $i] :
( ( ( ~ ( type @ SV37 @ fulladder ) )
= $true )
| ( ( connection @ ( out @ c @ ( h1 @ SV37 ) ) @ ( in @ n2 @ ( or1 @ SV37 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(272,plain,
! [SV38: $i] :
( ( ( ~ ( type @ SV38 @ fulladder ) )
= $true )
| ( ( connection @ ( out @ c @ ( h2 @ SV38 ) ) @ ( in @ n1 @ ( or1 @ SV38 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(273,plain,
! [SV39: $i] :
( ( ( ~ ( type @ SV39 @ fulladder ) )
= $true )
| ( ( connection @ ( in @ n1 @ SV39 ) @ ( in @ n1 @ ( h2 @ SV39 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[225]) ).
thf(274,plain,
! [SV40: $i] :
( ( ( ~ ( type @ SV40 @ fulladder ) )
= $true )
| ( ( connection @ ( in @ n2 @ SV40 ) @ ( in @ n1 @ ( h1 @ SV40 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(275,plain,
! [SV41: $i] :
( ( ( ~ ( type @ SV41 @ fulladder ) )
= $true )
| ( ( connection @ ( in @ c @ SV41 ) @ ( in @ n2 @ ( h1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(276,plain,
! [SV42: $i] :
( ( ( ~ ( type @ SV42 @ fulladder ) )
= $true )
| ( ( connection @ ( out @ s @ SV42 ) @ ( out @ s @ ( h2 @ SV42 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(277,plain,
! [SV43: $i] :
( ( ( ~ ( type @ SV43 @ fulladder ) )
= $true )
| ( ( connection @ ( out @ c @ SV43 ) @ ( out @ n1 @ ( or1 @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(278,plain,
( ( ( mode @ ( and1 @ ( h1 @ f ) ) @ abnormal )
= $false )
| ( ( mode @ ( or1 @ f ) @ abnormal )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(279,plain,
( ( ( mode @ ( not1 @ ( h1 @ f ) ) @ abnormal )
= $false )
| ( ( mode @ ( or1 @ f ) @ abnormal )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(280,plain,
( ( ( mode @ ( and1 @ ( h2 @ f ) ) @ abnormal )
= $false )
| ( ( mode @ ( or1 @ f ) @ abnormal )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[233]) ).
thf(281,plain,
( ( ( mode @ ( or1 @ ( h2 @ f ) ) @ abnormal )
= $false )
| ( ( mode @ ( or1 @ f ) @ abnormal )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(282,plain,
! [SV44: $i,SV1: $i] :
( ( ( ~ ( connection @ SV1 @ SV44 ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( value @ SV1 @ SY61 )
| ( value @ SV44 @ SY61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(283,plain,
! [SV45: $i,SV2: $i] :
( ( ( ~ ( connection @ SV2 @ SV45 ) )
= $true )
| ( ( ! [SY62: $i] :
( ~ ( value @ SV45 @ SY62 )
| ( value @ SV2 @ SY62 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(284,plain,
! [SV46: $i,SV3: $i] :
( ( ( ~ ( value @ SV3 @ SV46 ) )
= $true )
| ( ( ! [SY63: $i] :
( ~ ( value @ SV3 @ SY63 )
| ( equal_value @ SV46 @ SY63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(285,plain,
! [SV4: $i] :
( ( ( mode @ SV4 @ ok )
= $false )
| ( ( ~ ( mode @ SV4 @ abnormal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(286,plain,
! [SV47: $i,SV5: $i] :
( ( ( ~ ( type @ SV5 @ SV47 ) )
= $true )
| ( ( ( mode @ SV5 @ ok )
| ( mode @ SV5 @ abnormal ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(287,plain,
! [SV6: $i] :
( ( ( mode @ SV6 @ ok )
= $false )
| ( ( ~ ( type @ SV6 @ and )
| ! [SY59: $i] :
~ ( value @ ( in @ SY59 @ SV6 ) @ n0 )
| ( value @ ( out @ n1 @ SV6 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(288,plain,
! [SV7: $i] :
( ( ( mode @ SV7 @ ok )
= $false )
| ( ( ~ ( type @ SV7 @ and )
| ~ ( value @ ( in @ n1 @ SV7 ) @ n1 )
| ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(289,plain,
! [SV8: $i] :
( ( ( mode @ SV8 @ ok )
= $false )
| ( ( ~ ( type @ SV8 @ and )
| ~ ( value @ ( out @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(290,plain,
! [SV9: $i] :
( ( ( mode @ SV9 @ ok )
= $false )
| ( ( ~ ( type @ SV9 @ and )
| ~ ( value @ ( out @ n1 @ SV9 ) @ n1 )
| ( value @ ( in @ n1 @ SV9 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(291,plain,
! [SV10: $i] :
( ( ( mode @ SV10 @ ok )
= $false )
| ( ( ~ ( type @ SV10 @ and )
| ~ ( value @ ( out @ n1 @ SV10 ) @ n1 )
| ( value @ ( in @ n2 @ SV10 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(292,plain,
! [SV11: $i] :
( ( ( mode @ SV11 @ ok )
= $false )
| ( ( ~ ( type @ SV11 @ or )
| ! [SY60: $i] :
~ ( value @ ( in @ SY60 @ SV11 ) @ n1 )
| ( value @ ( out @ n1 @ SV11 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(293,plain,
! [SV12: $i] :
( ( ( mode @ SV12 @ ok )
= $false )
| ( ( ~ ( type @ SV12 @ or )
| ~ ( value @ ( in @ n1 @ SV12 ) @ n0 )
| ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(294,plain,
! [SV13: $i] :
( ( ( mode @ SV13 @ ok )
= $false )
| ( ( ~ ( type @ SV13 @ or )
| ~ ( value @ ( out @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(295,plain,
! [SV14: $i] :
( ( ( mode @ SV14 @ ok )
= $false )
| ( ( ~ ( type @ SV14 @ or )
| ~ ( value @ ( out @ n1 @ SV14 ) @ n0 )
| ( value @ ( in @ n1 @ SV14 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(296,plain,
! [SV15: $i] :
( ( ( mode @ SV15 @ ok )
= $false )
| ( ( ~ ( type @ SV15 @ or )
| ~ ( value @ ( out @ n1 @ SV15 ) @ n0 )
| ( value @ ( in @ n2 @ SV15 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(297,plain,
! [SV16: $i] :
( ( ( mode @ SV16 @ ok )
= $false )
| ( ( ~ ( type @ SV16 @ not )
| ~ ( value @ ( in @ n1 @ SV16 ) @ n0 )
| ( value @ ( out @ n1 @ SV16 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(298,plain,
! [SV17: $i] :
( ( ( mode @ SV17 @ ok )
= $false )
| ( ( ~ ( type @ SV17 @ not )
| ~ ( value @ ( in @ n1 @ SV17 ) @ n1 )
| ( value @ ( out @ n1 @ SV17 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(299,plain,
! [SV18: $i] :
( ( ( mode @ SV18 @ ok )
= $false )
| ( ( ~ ( type @ SV18 @ not )
| ~ ( value @ ( out @ n1 @ SV18 ) @ n0 )
| ( value @ ( in @ n1 @ SV18 ) @ n1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(300,plain,
! [SV19: $i] :
( ( ( mode @ SV19 @ ok )
= $false )
| ( ( ~ ( type @ SV19 @ not )
| ~ ( value @ ( out @ n1 @ SV19 ) @ n1 )
| ( value @ ( in @ n1 @ SV19 ) @ n0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(301,plain,
! [SV20: $i] :
( ( ( type @ SV20 @ halfadder )
= $false )
| ( ( type @ ( and1 @ SV20 ) @ and )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[254]) ).
thf(302,plain,
! [SV21: $i] :
( ( ( type @ SV21 @ halfadder )
= $false )
| ( ( type @ ( and2 @ SV21 ) @ and )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(303,plain,
! [SV22: $i] :
( ( ( type @ SV22 @ halfadder )
= $false )
| ( ( type @ ( not1 @ SV22 ) @ not )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(304,plain,
! [SV23: $i] :
( ( ( type @ SV23 @ halfadder )
= $false )
| ( ( type @ ( or1 @ SV23 ) @ or )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(305,plain,
! [SV24: $i] :
( ( ( type @ SV24 @ halfadder )
= $false )
| ( ( connection @ ( in @ n1 @ SV24 ) @ ( in @ n1 @ ( or1 @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(306,plain,
! [SV25: $i] :
( ( ( type @ SV25 @ halfadder )
= $false )
| ( ( connection @ ( in @ n2 @ SV25 ) @ ( in @ n2 @ ( or1 @ SV25 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(307,plain,
! [SV26: $i] :
( ( ( type @ SV26 @ halfadder )
= $false )
| ( ( connection @ ( in @ n1 @ SV26 ) @ ( in @ n1 @ ( and2 @ SV26 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(308,plain,
! [SV27: $i] :
( ( ( type @ SV27 @ halfadder )
= $false )
| ( ( connection @ ( in @ n2 @ SV27 ) @ ( in @ n2 @ ( and2 @ SV27 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[261]) ).
thf(309,plain,
! [SV28: $i] :
( ( ( type @ SV28 @ halfadder )
= $false )
| ( ( connection @ ( out @ s @ SV28 ) @ ( out @ n1 @ ( and1 @ SV28 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(310,plain,
! [SV29: $i] :
( ( ( type @ SV29 @ halfadder )
= $false )
| ( ( connection @ ( out @ c @ SV29 ) @ ( out @ n1 @ ( and2 @ SV29 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(311,plain,
! [SV30: $i] :
( ( ( type @ SV30 @ halfadder )
= $false )
| ( ( connection @ ( out @ n1 @ ( or1 @ SV30 ) ) @ ( in @ n1 @ ( and1 @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(312,plain,
! [SV31: $i] :
( ( ( type @ SV31 @ halfadder )
= $false )
| ( ( connection @ ( out @ n1 @ ( and2 @ SV31 ) ) @ ( in @ n1 @ ( not1 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[265]) ).
thf(313,plain,
! [SV32: $i] :
( ( ( type @ SV32 @ halfadder )
= $false )
| ( ( connection @ ( out @ n1 @ ( not1 @ SV32 ) ) @ ( in @ n2 @ ( and1 @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(314,plain,
! [SV33: $i] :
( ( ( type @ SV33 @ fulladder )
= $false )
| ( ( type @ ( h1 @ SV33 ) @ halfadder )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(315,plain,
! [SV34: $i] :
( ( ( type @ SV34 @ fulladder )
= $false )
| ( ( type @ ( h2 @ SV34 ) @ halfadder )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(316,plain,
! [SV35: $i] :
( ( ( type @ SV35 @ fulladder )
= $false )
| ( ( type @ ( or1 @ SV35 ) @ or )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(317,plain,
! [SV36: $i] :
( ( ( type @ SV36 @ fulladder )
= $false )
| ( ( connection @ ( out @ s @ ( h1 @ SV36 ) ) @ ( in @ n2 @ ( h2 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(318,plain,
! [SV37: $i] :
( ( ( type @ SV37 @ fulladder )
= $false )
| ( ( connection @ ( out @ c @ ( h1 @ SV37 ) ) @ ( in @ n2 @ ( or1 @ SV37 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[271]) ).
thf(319,plain,
! [SV38: $i] :
( ( ( type @ SV38 @ fulladder )
= $false )
| ( ( connection @ ( out @ c @ ( h2 @ SV38 ) ) @ ( in @ n1 @ ( or1 @ SV38 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(320,plain,
! [SV39: $i] :
( ( ( type @ SV39 @ fulladder )
= $false )
| ( ( connection @ ( in @ n1 @ SV39 ) @ ( in @ n1 @ ( h2 @ SV39 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(321,plain,
! [SV40: $i] :
( ( ( type @ SV40 @ fulladder )
= $false )
| ( ( connection @ ( in @ n2 @ SV40 ) @ ( in @ n1 @ ( h1 @ SV40 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(322,plain,
! [SV41: $i] :
( ( ( type @ SV41 @ fulladder )
= $false )
| ( ( connection @ ( in @ c @ SV41 ) @ ( in @ n2 @ ( h1 @ SV41 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(323,plain,
! [SV42: $i] :
( ( ( type @ SV42 @ fulladder )
= $false )
| ( ( connection @ ( out @ s @ SV42 ) @ ( out @ s @ ( h2 @ SV42 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(324,plain,
! [SV43: $i] :
( ( ( type @ SV43 @ fulladder )
= $false )
| ( ( connection @ ( out @ c @ SV43 ) @ ( out @ n1 @ ( or1 @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(325,plain,
! [SV44: $i,SV1: $i] :
( ( ( connection @ SV1 @ SV44 )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( value @ SV1 @ SY61 )
| ( value @ SV44 @ SY61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(326,plain,
! [SV45: $i,SV2: $i] :
( ( ( connection @ SV2 @ SV45 )
= $false )
| ( ( ! [SY62: $i] :
( ~ ( value @ SV45 @ SY62 )
| ( value @ SV2 @ SY62 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(327,plain,
! [SV46: $i,SV3: $i] :
( ( ( value @ SV3 @ SV46 )
= $false )
| ( ( ! [SY63: $i] :
( ~ ( value @ SV3 @ SY63 )
| ( equal_value @ SV46 @ SY63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(328,plain,
! [SV4: $i] :
( ( ( mode @ SV4 @ abnormal )
= $false )
| ( ( mode @ SV4 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(329,plain,
! [SV47: $i,SV5: $i] :
( ( ( type @ SV5 @ SV47 )
= $false )
| ( ( ( mode @ SV5 @ ok )
| ( mode @ SV5 @ abnormal ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(330,plain,
! [SV6: $i] :
( ( ( ~ ( type @ SV6 @ and ) )
= $true )
| ( ( ! [SY59: $i] :
~ ( value @ ( in @ SY59 @ SV6 ) @ n0 )
| ( value @ ( out @ n1 @ SV6 ) @ n0 ) )
= $true )
| ( ( mode @ SV6 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[287]) ).
thf(331,plain,
! [SV7: $i] :
( ( ( ~ ( type @ SV7 @ and ) )
= $true )
| ( ( ~ ( value @ ( in @ n1 @ SV7 ) @ n1 )
| ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true )
| ( ( mode @ SV7 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(332,plain,
! [SV8: $i] :
( ( ( ~ ( type @ SV8 @ and ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true )
| ( ( mode @ SV8 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(333,plain,
! [SV9: $i] :
( ( ( ~ ( type @ SV9 @ and ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV9 ) @ n1 )
| ( value @ ( in @ n1 @ SV9 ) @ n1 ) )
= $true )
| ( ( mode @ SV9 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(334,plain,
! [SV10: $i] :
( ( ( ~ ( type @ SV10 @ and ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV10 ) @ n1 )
| ( value @ ( in @ n2 @ SV10 ) @ n1 ) )
= $true )
| ( ( mode @ SV10 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(335,plain,
! [SV11: $i] :
( ( ( ~ ( type @ SV11 @ or ) )
= $true )
| ( ( ! [SY60: $i] :
~ ( value @ ( in @ SY60 @ SV11 ) @ n1 )
| ( value @ ( out @ n1 @ SV11 ) @ n1 ) )
= $true )
| ( ( mode @ SV11 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(336,plain,
! [SV12: $i] :
( ( ( ~ ( type @ SV12 @ or ) )
= $true )
| ( ( ~ ( value @ ( in @ n1 @ SV12 ) @ n0 )
| ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true )
| ( ( mode @ SV12 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[293]) ).
thf(337,plain,
! [SV13: $i] :
( ( ( ~ ( type @ SV13 @ or ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true )
| ( ( mode @ SV13 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(338,plain,
! [SV14: $i] :
( ( ( ~ ( type @ SV14 @ or ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV14 ) @ n0 )
| ( value @ ( in @ n1 @ SV14 ) @ n0 ) )
= $true )
| ( ( mode @ SV14 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(339,plain,
! [SV15: $i] :
( ( ( ~ ( type @ SV15 @ or ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV15 ) @ n0 )
| ( value @ ( in @ n2 @ SV15 ) @ n0 ) )
= $true )
| ( ( mode @ SV15 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(340,plain,
! [SV16: $i] :
( ( ( ~ ( type @ SV16 @ not ) )
= $true )
| ( ( ~ ( value @ ( in @ n1 @ SV16 ) @ n0 )
| ( value @ ( out @ n1 @ SV16 ) @ n1 ) )
= $true )
| ( ( mode @ SV16 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[297]) ).
thf(341,plain,
! [SV17: $i] :
( ( ( ~ ( type @ SV17 @ not ) )
= $true )
| ( ( ~ ( value @ ( in @ n1 @ SV17 ) @ n1 )
| ( value @ ( out @ n1 @ SV17 ) @ n0 ) )
= $true )
| ( ( mode @ SV17 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(342,plain,
! [SV18: $i] :
( ( ( ~ ( type @ SV18 @ not ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV18 ) @ n0 )
| ( value @ ( in @ n1 @ SV18 ) @ n1 ) )
= $true )
| ( ( mode @ SV18 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[299]) ).
thf(343,plain,
! [SV19: $i] :
( ( ( ~ ( type @ SV19 @ not ) )
= $true )
| ( ( ~ ( value @ ( out @ n1 @ SV19 ) @ n1 )
| ( value @ ( in @ n1 @ SV19 ) @ n0 ) )
= $true )
| ( ( mode @ SV19 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(344,plain,
! [SV44: $i,SV48: $i,SV1: $i] :
( ( ( ~ ( value @ SV1 @ SV48 )
| ( value @ SV44 @ SV48 ) )
= $true )
| ( ( connection @ SV1 @ SV44 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(345,plain,
! [SV2: $i,SV49: $i,SV45: $i] :
( ( ( ~ ( value @ SV45 @ SV49 )
| ( value @ SV2 @ SV49 ) )
= $true )
| ( ( connection @ SV2 @ SV45 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(346,plain,
! [SV46: $i,SV50: $i,SV3: $i] :
( ( ( ~ ( value @ SV3 @ SV50 )
| ( equal_value @ SV46 @ SV50 ) )
= $true )
| ( ( value @ SV3 @ SV46 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(347,plain,
! [SV47: $i,SV5: $i] :
( ( ( mode @ SV5 @ ok )
= $true )
| ( ( mode @ SV5 @ abnormal )
= $true )
| ( ( type @ SV5 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(348,plain,
! [SV6: $i] :
( ( ( type @ SV6 @ and )
= $false )
| ( ( ! [SY59: $i] :
~ ( value @ ( in @ SY59 @ SV6 ) @ n0 )
| ( value @ ( out @ n1 @ SV6 ) @ n0 ) )
= $true )
| ( ( mode @ SV6 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(349,plain,
! [SV7: $i] :
( ( ( type @ SV7 @ and )
= $false )
| ( ( ~ ( value @ ( in @ n1 @ SV7 ) @ n1 )
| ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true )
| ( ( mode @ SV7 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(350,plain,
! [SV8: $i] :
( ( ( type @ SV8 @ and )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true )
| ( ( mode @ SV8 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(351,plain,
! [SV9: $i] :
( ( ( type @ SV9 @ and )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV9 ) @ n1 )
| ( value @ ( in @ n1 @ SV9 ) @ n1 ) )
= $true )
| ( ( mode @ SV9 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(352,plain,
! [SV10: $i] :
( ( ( type @ SV10 @ and )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV10 ) @ n1 )
| ( value @ ( in @ n2 @ SV10 ) @ n1 ) )
= $true )
| ( ( mode @ SV10 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(353,plain,
! [SV11: $i] :
( ( ( type @ SV11 @ or )
= $false )
| ( ( ! [SY60: $i] :
~ ( value @ ( in @ SY60 @ SV11 ) @ n1 )
| ( value @ ( out @ n1 @ SV11 ) @ n1 ) )
= $true )
| ( ( mode @ SV11 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(354,plain,
! [SV12: $i] :
( ( ( type @ SV12 @ or )
= $false )
| ( ( ~ ( value @ ( in @ n1 @ SV12 ) @ n0 )
| ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true )
| ( ( mode @ SV12 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(355,plain,
! [SV13: $i] :
( ( ( type @ SV13 @ or )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true )
| ( ( mode @ SV13 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(356,plain,
! [SV14: $i] :
( ( ( type @ SV14 @ or )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV14 ) @ n0 )
| ( value @ ( in @ n1 @ SV14 ) @ n0 ) )
= $true )
| ( ( mode @ SV14 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(357,plain,
! [SV15: $i] :
( ( ( type @ SV15 @ or )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV15 ) @ n0 )
| ( value @ ( in @ n2 @ SV15 ) @ n0 ) )
= $true )
| ( ( mode @ SV15 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(358,plain,
! [SV16: $i] :
( ( ( type @ SV16 @ not )
= $false )
| ( ( ~ ( value @ ( in @ n1 @ SV16 ) @ n0 )
| ( value @ ( out @ n1 @ SV16 ) @ n1 ) )
= $true )
| ( ( mode @ SV16 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(359,plain,
! [SV17: $i] :
( ( ( type @ SV17 @ not )
= $false )
| ( ( ~ ( value @ ( in @ n1 @ SV17 ) @ n1 )
| ( value @ ( out @ n1 @ SV17 ) @ n0 ) )
= $true )
| ( ( mode @ SV17 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(360,plain,
! [SV18: $i] :
( ( ( type @ SV18 @ not )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV18 ) @ n0 )
| ( value @ ( in @ n1 @ SV18 ) @ n1 ) )
= $true )
| ( ( mode @ SV18 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(361,plain,
! [SV19: $i] :
( ( ( type @ SV19 @ not )
= $false )
| ( ( ~ ( value @ ( out @ n1 @ SV19 ) @ n1 )
| ( value @ ( in @ n1 @ SV19 ) @ n0 ) )
= $true )
| ( ( mode @ SV19 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(362,plain,
! [SV44: $i,SV48: $i,SV1: $i] :
( ( ( ~ ( value @ SV1 @ SV48 ) )
= $true )
| ( ( value @ SV44 @ SV48 )
= $true )
| ( ( connection @ SV1 @ SV44 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(363,plain,
! [SV2: $i,SV49: $i,SV45: $i] :
( ( ( ~ ( value @ SV45 @ SV49 ) )
= $true )
| ( ( value @ SV2 @ SV49 )
= $true )
| ( ( connection @ SV2 @ SV45 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(364,plain,
! [SV46: $i,SV50: $i,SV3: $i] :
( ( ( ~ ( value @ SV3 @ SV50 ) )
= $true )
| ( ( equal_value @ SV46 @ SV50 )
= $true )
| ( ( value @ SV3 @ SV46 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(365,plain,
! [SV6: $i] :
( ( ( ! [SY59: $i] :
~ ( value @ ( in @ SY59 @ SV6 ) @ n0 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV6 ) @ n0 )
= $true )
| ( ( type @ SV6 @ and )
= $false )
| ( ( mode @ SV6 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[348]) ).
thf(366,plain,
! [SV7: $i] :
( ( ( ~ ( value @ ( in @ n1 @ SV7 ) @ n1 ) )
= $true )
| ( ( ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true )
| ( ( type @ SV7 @ and )
= $false )
| ( ( mode @ SV7 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(367,plain,
! [SV8: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV8 ) @ n0 ) )
= $true )
| ( ( ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true )
| ( ( type @ SV8 @ and )
= $false )
| ( ( mode @ SV8 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(368,plain,
! [SV9: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV9 ) @ n1 ) )
= $true )
| ( ( value @ ( in @ n1 @ SV9 ) @ n1 )
= $true )
| ( ( type @ SV9 @ and )
= $false )
| ( ( mode @ SV9 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[351]) ).
thf(369,plain,
! [SV10: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV10 ) @ n1 ) )
= $true )
| ( ( value @ ( in @ n2 @ SV10 ) @ n1 )
= $true )
| ( ( type @ SV10 @ and )
= $false )
| ( ( mode @ SV10 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(370,plain,
! [SV11: $i] :
( ( ( ! [SY60: $i] :
~ ( value @ ( in @ SY60 @ SV11 ) @ n1 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV11 ) @ n1 )
= $true )
| ( ( type @ SV11 @ or )
= $false )
| ( ( mode @ SV11 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(371,plain,
! [SV12: $i] :
( ( ( ~ ( value @ ( in @ n1 @ SV12 ) @ n0 ) )
= $true )
| ( ( ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true )
| ( ( type @ SV12 @ or )
= $false )
| ( ( mode @ SV12 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(372,plain,
! [SV13: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV13 ) @ n1 ) )
= $true )
| ( ( ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true )
| ( ( type @ SV13 @ or )
= $false )
| ( ( mode @ SV13 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(373,plain,
! [SV14: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV14 ) @ n0 ) )
= $true )
| ( ( value @ ( in @ n1 @ SV14 ) @ n0 )
= $true )
| ( ( type @ SV14 @ or )
= $false )
| ( ( mode @ SV14 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(374,plain,
! [SV15: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV15 ) @ n0 ) )
= $true )
| ( ( value @ ( in @ n2 @ SV15 ) @ n0 )
= $true )
| ( ( type @ SV15 @ or )
= $false )
| ( ( mode @ SV15 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(375,plain,
! [SV16: $i] :
( ( ( ~ ( value @ ( in @ n1 @ SV16 ) @ n0 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV16 ) @ n1 )
= $true )
| ( ( type @ SV16 @ not )
= $false )
| ( ( mode @ SV16 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(376,plain,
! [SV17: $i] :
( ( ( ~ ( value @ ( in @ n1 @ SV17 ) @ n1 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV17 ) @ n0 )
= $true )
| ( ( type @ SV17 @ not )
= $false )
| ( ( mode @ SV17 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(377,plain,
! [SV18: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV18 ) @ n0 ) )
= $true )
| ( ( value @ ( in @ n1 @ SV18 ) @ n1 )
= $true )
| ( ( type @ SV18 @ not )
= $false )
| ( ( mode @ SV18 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(378,plain,
! [SV19: $i] :
( ( ( ~ ( value @ ( out @ n1 @ SV19 ) @ n1 ) )
= $true )
| ( ( value @ ( in @ n1 @ SV19 ) @ n0 )
= $true )
| ( ( type @ SV19 @ not )
= $false )
| ( ( mode @ SV19 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(379,plain,
! [SV44: $i,SV48: $i,SV1: $i] :
( ( ( value @ SV1 @ SV48 )
= $false )
| ( ( value @ SV44 @ SV48 )
= $true )
| ( ( connection @ SV1 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[362]) ).
thf(380,plain,
! [SV2: $i,SV49: $i,SV45: $i] :
( ( ( value @ SV45 @ SV49 )
= $false )
| ( ( value @ SV2 @ SV49 )
= $true )
| ( ( connection @ SV2 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(381,plain,
! [SV46: $i,SV50: $i,SV3: $i] :
( ( ( value @ SV3 @ SV50 )
= $false )
| ( ( equal_value @ SV46 @ SV50 )
= $true )
| ( ( value @ SV3 @ SV46 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(382,plain,
! [SV6: $i,SV51: $i] :
( ( ( ~ ( value @ ( in @ SV51 @ SV6 ) @ n0 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV6 ) @ n0 )
= $true )
| ( ( type @ SV6 @ and )
= $false )
| ( ( mode @ SV6 @ ok )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(383,plain,
! [SV7: $i] :
( ( ( value @ ( in @ n1 @ SV7 ) @ n1 )
= $false )
| ( ( ~ ( value @ ( in @ n2 @ SV7 ) @ n1 )
| ( value @ ( out @ n1 @ SV7 ) @ n1 ) )
= $true )
| ( ( type @ SV7 @ and )
= $false )
| ( ( mode @ SV7 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(384,plain,
! [SV8: $i] :
( ( ( value @ ( out @ n1 @ SV8 ) @ n0 )
= $false )
| ( ( ( value @ ( in @ n1 @ SV8 ) @ n0 )
| ( value @ ( in @ n2 @ SV8 ) @ n0 ) )
= $true )
| ( ( type @ SV8 @ and )
= $false )
| ( ( mode @ SV8 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(385,plain,
! [SV9: $i] :
( ( ( value @ ( out @ n1 @ SV9 ) @ n1 )
= $false )
| ( ( value @ ( in @ n1 @ SV9 ) @ n1 )
= $true )
| ( ( type @ SV9 @ and )
= $false )
| ( ( mode @ SV9 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(386,plain,
! [SV10: $i] :
( ( ( value @ ( out @ n1 @ SV10 ) @ n1 )
= $false )
| ( ( value @ ( in @ n2 @ SV10 ) @ n1 )
= $true )
| ( ( type @ SV10 @ and )
= $false )
| ( ( mode @ SV10 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(387,plain,
! [SV11: $i,SV52: $i] :
( ( ( ~ ( value @ ( in @ SV52 @ SV11 ) @ n1 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV11 ) @ n1 )
= $true )
| ( ( type @ SV11 @ or )
= $false )
| ( ( mode @ SV11 @ ok )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(388,plain,
! [SV12: $i] :
( ( ( value @ ( in @ n1 @ SV12 ) @ n0 )
= $false )
| ( ( ~ ( value @ ( in @ n2 @ SV12 ) @ n0 )
| ( value @ ( out @ n1 @ SV12 ) @ n0 ) )
= $true )
| ( ( type @ SV12 @ or )
= $false )
| ( ( mode @ SV12 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(389,plain,
! [SV13: $i] :
( ( ( value @ ( out @ n1 @ SV13 ) @ n1 )
= $false )
| ( ( ( value @ ( in @ n1 @ SV13 ) @ n1 )
| ( value @ ( in @ n2 @ SV13 ) @ n1 ) )
= $true )
| ( ( type @ SV13 @ or )
= $false )
| ( ( mode @ SV13 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(390,plain,
! [SV14: $i] :
( ( ( value @ ( out @ n1 @ SV14 ) @ n0 )
= $false )
| ( ( value @ ( in @ n1 @ SV14 ) @ n0 )
= $true )
| ( ( type @ SV14 @ or )
= $false )
| ( ( mode @ SV14 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(391,plain,
! [SV15: $i] :
( ( ( value @ ( out @ n1 @ SV15 ) @ n0 )
= $false )
| ( ( value @ ( in @ n2 @ SV15 ) @ n0 )
= $true )
| ( ( type @ SV15 @ or )
= $false )
| ( ( mode @ SV15 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(392,plain,
! [SV16: $i] :
( ( ( value @ ( in @ n1 @ SV16 ) @ n0 )
= $false )
| ( ( value @ ( out @ n1 @ SV16 ) @ n1 )
= $true )
| ( ( type @ SV16 @ not )
= $false )
| ( ( mode @ SV16 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(393,plain,
! [SV17: $i] :
( ( ( value @ ( in @ n1 @ SV17 ) @ n1 )
= $false )
| ( ( value @ ( out @ n1 @ SV17 ) @ n0 )
= $true )
| ( ( type @ SV17 @ not )
= $false )
| ( ( mode @ SV17 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(394,plain,
! [SV18: $i] :
( ( ( value @ ( out @ n1 @ SV18 ) @ n0 )
= $false )
| ( ( value @ ( in @ n1 @ SV18 ) @ n1 )
= $true )
| ( ( type @ SV18 @ not )
= $false )
| ( ( mode @ SV18 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(395,plain,
! [SV19: $i] :
( ( ( value @ ( out @ n1 @ SV19 ) @ n1 )
= $false )
| ( ( value @ ( in @ n1 @ SV19 ) @ n0 )
= $true )
| ( ( type @ SV19 @ not )
= $false )
| ( ( mode @ SV19 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(396,plain,
! [SV6: $i,SV51: $i] :
( ( ( value @ ( in @ SV51 @ SV6 ) @ n0 )
= $false )
| ( ( value @ ( out @ n1 @ SV6 ) @ n0 )
= $true )
| ( ( type @ SV6 @ and )
= $false )
| ( ( mode @ SV6 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(397,plain,
! [SV7: $i] :
( ( ( ~ ( value @ ( in @ n2 @ SV7 ) @ n1 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV7 ) @ n1 )
= $true )
| ( ( value @ ( in @ n1 @ SV7 ) @ n1 )
= $false )
| ( ( type @ SV7 @ and )
= $false )
| ( ( mode @ SV7 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(398,plain,
! [SV8: $i] :
( ( ( value @ ( in @ n1 @ SV8 ) @ n0 )
= $true )
| ( ( value @ ( in @ n2 @ SV8 ) @ n0 )
= $true )
| ( ( value @ ( out @ n1 @ SV8 ) @ n0 )
= $false )
| ( ( type @ SV8 @ and )
= $false )
| ( ( mode @ SV8 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(399,plain,
! [SV11: $i,SV52: $i] :
( ( ( value @ ( in @ SV52 @ SV11 ) @ n1 )
= $false )
| ( ( value @ ( out @ n1 @ SV11 ) @ n1 )
= $true )
| ( ( type @ SV11 @ or )
= $false )
| ( ( mode @ SV11 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(400,plain,
! [SV12: $i] :
( ( ( ~ ( value @ ( in @ n2 @ SV12 ) @ n0 ) )
= $true )
| ( ( value @ ( out @ n1 @ SV12 ) @ n0 )
= $true )
| ( ( value @ ( in @ n1 @ SV12 ) @ n0 )
= $false )
| ( ( type @ SV12 @ or )
= $false )
| ( ( mode @ SV12 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(401,plain,
! [SV13: $i] :
( ( ( value @ ( in @ n1 @ SV13 ) @ n1 )
= $true )
| ( ( value @ ( in @ n2 @ SV13 ) @ n1 )
= $true )
| ( ( value @ ( out @ n1 @ SV13 ) @ n1 )
= $false )
| ( ( type @ SV13 @ or )
= $false )
| ( ( mode @ SV13 @ ok )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(402,plain,
! [SV7: $i] :
( ( ( value @ ( in @ n2 @ SV7 ) @ n1 )
= $false )
| ( ( value @ ( out @ n1 @ SV7 ) @ n1 )
= $true )
| ( ( value @ ( in @ n1 @ SV7 ) @ n1 )
= $false )
| ( ( type @ SV7 @ and )
= $false )
| ( ( mode @ SV7 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(403,plain,
! [SV12: $i] :
( ( ( value @ ( in @ n2 @ SV12 ) @ n0 )
= $false )
| ( ( value @ ( out @ n1 @ SV12 ) @ n0 )
= $true )
| ( ( value @ ( in @ n1 @ SV12 ) @ n0 )
= $false )
| ( ( type @ SV12 @ or )
= $false )
| ( ( mode @ SV12 @ ok )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(404,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[128,403,402,401,399,398,396,395,394,393,392,391,390,386,385,381,380,379,347,328,324,323,322,321,320,319,318,317,316,315,314,313,312,311,310,309,308,307,306,305,304,303,302,301,281,280,279,278,230,189,188,180,133,132,131,130,129]) ).
thf(405,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : HWV007-1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 22:58:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 .
% 0.12/0.37
% 0.12/0.37 No.of.Axioms: 56
% 0.12/0.37
% 0.12/0.37 Length.of.Defs: 0
% 0.12/0.37
% 0.12/0.37 Contains.Choice.Funs: false
% 0.12/0.40 .
% 0.12/0.40 (rf:0,axioms:56,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:58,loop_count:0,foatp_calls:0,translation:fof_full)..............
% 4.64/4.85
% 4.64/4.85 ********************************
% 4.64/4.85 * All subproblems solved! *
% 4.64/4.85 ********************************
% 4.64/4.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:56,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:404,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.70/4.92
% 4.70/4.92 %**** Beginning of derivation protocol ****
% 4.70/4.92 % SZS output start CNFRefutation
% See solution above
% 4.70/4.92
% 4.70/4.92 %**** End of derivation protocol ****
% 4.70/4.92 %**** no. of clauses in derivation: 405 ****
% 4.70/4.92 %**** clause counter: 404 ****
% 4.70/4.92
% 4.70/4.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:56,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:404,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------