TSTP Solution File: COM003+3 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : COM003+3 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 : Fri Jul 15 01:28:32 EDT 2022
% Result : Theorem 0.46s 0.70s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 22
% Syntax : Number of formulae : 578 ( 33 unt; 18 typ; 0 def)
% Number of atoms : 10875 (2718 equ; 0 cnn)
% Maximal formula atoms : 19 ( 19 avg)
% Number of connectives : 21876 (4243 ~;4765 |; 84 &;12754 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 1582 ( 0 ^1572 !; 10 ?;1582 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_algorithm,type,
algorithm: $i > $o ).
thf(tp_bad,type,
bad: $i ).
thf(tp_decides,type,
decides: $i > $i > $i > $o ).
thf(tp_good,type,
good: $i ).
thf(tp_halts2,type,
halts2: $i > $i > $o ).
thf(tp_halts3,type,
halts3: $i > $i > $i > $o ).
thf(tp_outputs,type,
outputs: $i > $i > $o ).
thf(tp_program,type,
program: $i > $o ).
thf(tp_sK10_REN,type,
sK10_REN: $o ).
thf(tp_sK1_X1,type,
sK1_X1: $i ).
thf(tp_sK2_V,type,
sK2_V: $i > $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(tp_sK4_SY24,type,
sK4_SY24: $i > $i ).
thf(tp_sK5_Y,type,
sK5_Y: $i > $i ).
thf(tp_sK6_SY25,type,
sK6_SY25: $i > $i ).
thf(tp_sK7_W,type,
sK7_W: $i ).
thf(tp_sK8_Y,type,
sK8_Y: $i > $i ).
thf(tp_sK9_SY28,type,
sK9_SY28: $i > $i ).
thf(1,axiom,
! [W: $i] :
( ( ( program @ W )
& ! [Y: $i,Z: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ bad ) ) ) ) )
=> ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ good ) )
=> ~ ( halts2 @ V @ Y ) )
& ( ( ( program @ Y )
& ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ bad ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
thf(2,axiom,
! [W: $i] :
( ( ( program @ W )
& ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) ) )
=> ! [Y: $i,Z: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ bad ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
thf(3,axiom,
( ? [X: $i] :
( ( algorithm @ X )
& ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ X @ Y @ Z ) ) )
=> ? [W: $i] :
( ( program @ W )
& ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
thf(4,conjecture,
~ ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(5,negated_conjecture,
( ( ~ ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,plain,
( ( ~ ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [W: $i] :
( ( ( program @ W )
& ! [Y: $i,Z: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ bad ) ) ) ) )
=> ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ good ) )
=> ~ ( halts2 @ V @ Y ) )
& ( ( ( program @ Y )
& ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ bad ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [W: $i] :
( ( ( program @ W )
& ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) ) )
=> ! [Y: $i,Z: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Z ) )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ bad ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ? [X: $i] :
( ( algorithm @ X )
& ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ X @ Y @ Z ) ) )
=> ? [W: $i] :
( ( program @ W )
& ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10,plain,
( ( ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [SY19: $i] :
( ~ ( program @ SY19 )
| ! [SY20: $i] : ( decides @ sK1_X1 @ SY19 @ SY20 ) )
& ( algorithm @ sK1_X1 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [W: $i] :
( ( ( ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ( program @ ( sK3_Y @ W ) ) )
& ( ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) ) )
& ( ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ( program @ ( sK3_Y @ W ) )
| ( program @ ( sK3_Y @ W ) ) )
& ( ( program @ ( sK3_Y @ W ) )
| ~ ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) ) )
& ( ( program @ ( sK3_Y @ W ) )
| ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ good )
| ( program @ ( sK3_Y @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ bad ) ) )
| ~ ( program @ W )
| ( ! [SY21: $i] :
( ~ ( halts3 @ W @ SY21 @ SY21 )
| ~ ( program @ SY21 )
| ~ ( outputs @ W @ good )
| ~ ( halts2 @ ( sK2_V @ W ) @ SY21 ) )
& ! [SY22: $i] :
( ~ ( halts3 @ W @ SY22 @ SY22 )
| ~ ( program @ SY22 )
| ~ ( outputs @ W @ bad )
| ( halts2 @ ( sK2_V @ W ) @ SY22 ) )
& ( ! [Y: $i] :
( ~ ( halts3 @ W @ Y @ Y )
| ~ ( program @ Y ) )
| ~ ( outputs @ W @ bad )
| ( outputs @ ( sK2_V @ W ) @ bad ) )
& ( program @ ( sK2_V @ W ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(13,plain,
( ( ! [W: $i] :
( ( ( program @ ( sK5_Y @ W ) )
& ~ ( decides @ W @ ( sK5_Y @ W ) @ ( sK6_SY25 @ W ) ) )
| ~ ( program @ W )
| ( ! [Y: $i,Z: $i] :
( ~ ( halts2 @ Y @ Z )
| ~ ( program @ Y )
| ( halts3 @ W @ Y @ Z ) )
& ( ! [Y: $i] :
( ! [Z: $i] :
~ ( halts2 @ Y @ Z )
| ~ ( program @ Y ) )
| ( outputs @ W @ good ) )
& ! [Y: $i,Z: $i] :
( ~ ( program @ Y )
| ( halts2 @ Y @ Z )
| ( halts3 @ W @ Y @ Z ) )
& ( ! [Y: $i] :
( ~ ( program @ Y )
| ! [Z: $i] : ( halts2 @ Y @ Z ) )
| ( outputs @ W @ bad ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(14,plain,
( ( ( ! [X: $i] :
( ( ( program @ ( sK8_Y @ X ) )
& ~ ( decides @ X @ ( sK8_Y @ X ) @ ( sK9_SY28 @ X ) ) )
| ~ ( algorithm @ X ) )
| sK10_REN )
& ( sK10_REN
=> ( ! [SY26: $i] :
( ~ ( program @ SY26 )
| ! [SY27: $i] : ( decides @ sK7_W @ SY26 @ SY27 ) )
& ( program @ sK7_W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(15,plain,
( ( ( ! [X: $i] :
( ( ( program @ ( sK8_Y @ X ) )
& ~ ( decides @ X @ ( sK8_Y @ X ) @ ( sK9_SY28 @ X ) ) )
| ~ ( algorithm @ X ) )
| sK10_REN )
& ( sK10_REN
=> ( ! [SY26: $i] :
( ~ ( program @ SY26 )
| ! [SY27: $i] : ( decides @ sK7_W @ SY26 @ SY27 ) )
& ( program @ sK7_W ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [W: $i] :
( ( ( program @ ( sK5_Y @ W ) )
& ~ ( decides @ W @ ( sK5_Y @ W ) @ ( sK6_SY25 @ W ) ) )
| ~ ( program @ W )
| ( ! [Y: $i,Z: $i] :
( ~ ( halts2 @ Y @ Z )
| ~ ( program @ Y )
| ( halts3 @ W @ Y @ Z ) )
& ( ! [Y: $i] :
( ! [Z: $i] :
~ ( halts2 @ Y @ Z )
| ~ ( program @ Y ) )
| ( outputs @ W @ good ) )
& ! [Y: $i,Z: $i] :
( ~ ( program @ Y )
| ( halts2 @ Y @ Z )
| ( halts3 @ W @ Y @ Z ) )
& ( ! [Y: $i] :
( ~ ( program @ Y )
| ! [Z: $i] : ( halts2 @ Y @ Z ) )
| ( outputs @ W @ bad ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [W: $i] :
( ( ( ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ( program @ ( sK3_Y @ W ) ) )
& ( ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) ) )
& ( ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ( program @ ( sK3_Y @ W ) )
| ( program @ ( sK3_Y @ W ) ) )
& ( ( program @ ( sK3_Y @ W ) )
| ~ ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) ) )
& ( ( program @ ( sK3_Y @ W ) )
| ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ good )
| ( program @ ( sK3_Y @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts2 @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts3 @ W @ ( sK3_Y @ W ) @ ( sK4_SY24 @ W ) )
| ~ ( outputs @ W @ bad ) ) )
| ~ ( program @ W )
| ( ! [SY21: $i] :
( ~ ( halts3 @ W @ SY21 @ SY21 )
| ~ ( program @ SY21 )
| ~ ( outputs @ W @ good )
| ~ ( halts2 @ ( sK2_V @ W ) @ SY21 ) )
& ! [SY22: $i] :
( ~ ( halts3 @ W @ SY22 @ SY22 )
| ~ ( program @ SY22 )
| ~ ( outputs @ W @ bad )
| ( halts2 @ ( sK2_V @ W ) @ SY22 ) )
& ( ! [Y: $i] :
( ~ ( halts3 @ W @ Y @ Y )
| ~ ( program @ Y ) )
| ~ ( outputs @ W @ bad )
| ( outputs @ ( sK2_V @ W ) @ bad ) )
& ( program @ ( sK2_V @ W ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [SY19: $i] :
( ~ ( program @ SY19 )
| ! [SY20: $i] : ( decides @ sK1_X1 @ SY19 @ SY20 ) )
& ( algorithm @ sK1_X1 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(19,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK8_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK8_Y @ SX0 ) @ ( sK9_SY28 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK10_REN )
| ~ ( ~ sK10_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(20,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK5_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK5_Y @ SX0 ) @ ( sK6_SY25 @ SX0 ) ) )
| ~ ( program @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 )
| ( halts3 @ SX0 @ SX1 @ SX2 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SX0 @ good ) ) )
| ~ ~ ( ~ ! [SX1: $i,SX2: $i] :
( ~ ( program @ SX1 )
| ( halts2 @ SX1 @ SX2 )
| ( halts3 @ SX0 @ SX1 @ SX2 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SX0 @ bad ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(21,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SX0 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts3 @ SX0 @ ( sK3_Y @ SX0 ) @ ( sK4_SY24 @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 )
| ~ ( ~ ~ ( ~ ! [SX1: $i] :
( ~ ( halts3 @ SX0 @ SX1 @ SX1 )
| ~ ( program @ SX1 )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK2_V @ SX0 ) @ SX1 ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( halts3 @ SX0 @ SX1 @ SX1 )
| ~ ( program @ SX1 )
| ~ ( outputs @ SX0 @ bad )
| ( halts2 @ ( sK2_V @ SX0 ) @ SX1 ) )
| ~ ( ! [SX1: $i] :
( ~ ( halts3 @ SX0 @ SX1 @ SX1 )
| ~ ( program @ SX1 ) )
| ~ ( outputs @ SX0 @ bad )
| ( outputs @ ( sK2_V @ SX0 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(22,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) )
| ~ ( algorithm @ sK1_X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK8_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK8_Y @ SX0 ) @ ( sK9_SY28 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK10_REN )
| ~ ( ~ sK10_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV1: $i] :
( ( ~ ( ~ ( program @ ( sK5_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) ) )
| ~ ( program @ SV1 )
| ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV2: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
| ~ ( program @ SV2 )
| ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(26,plain,
( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) )
| ~ ( algorithm @ sK1_X1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK8_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK8_Y @ SX0 ) @ ( sK9_SY28 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK10_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ~ sK10_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(29,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( program @ ( sK5_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) ) )
| ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
| ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ( algorithm @ sK1_X1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(33,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK8_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK8_Y @ SX0 ) @ ( sK9_SY28 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK10_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(34,plain,
( ( ~ sK10_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(35,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( program @ ( sK5_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(36,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( algorithm @ sK1_X1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(39,plain,
( ( ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK8_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK8_Y @ SX0 ) @ ( sK9_SY28 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(40,plain,
( ( ( ~ sK10_REN )
= $true )
| ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(41,plain,
! [SV1: $i] :
( ( ( ~ ( program @ ( sK5_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(42,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(43,plain,
! [SV3: $i] :
( ( ~ ( program @ SV3 )
| ! [SY40: $i] : ( decides @ sK1_X1 @ SV3 @ SY40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( program @ ( sK8_Y @ SV4 ) )
| ~ ~ ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) ) )
| ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( sK10_REN = $false )
| ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: $i] :
( ( ( ~ ( program @ ( sK5_Y @ SV1 ) ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: $i] :
( ( ( ~ ~ ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(48,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(49,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(50,plain,
! [SV3: $i] :
( ( ( ~ ( program @ SV3 ) )
= $true )
| ( ( ! [SY40: $i] : ( decides @ sK1_X1 @ SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(51,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( program @ ( sK8_Y @ SV4 ) )
| ~ ~ ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) ) ) )
= $true )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(52,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) )
| ~ ( program @ sK7_W ) )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV1: $i] :
( ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(54,plain,
! [SV1: $i] :
( ( ( ~ ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) ) )
= $true )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( ! [SY40: $i] : ( decides @ sK1_X1 @ SV3 @ SY40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(58,plain,
! [SV4: $i] :
( ( ( ~ ( program @ ( sK8_Y @ SV4 ) )
| ~ ~ ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) ) )
= $false )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(59,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) ) )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(60,plain,
( ( ( ~ ( program @ sK7_W ) )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(61,plain,
! [SV1: $i] :
( ( ( program @ SV1 )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV1: $i] :
( ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(65,plain,
! [SV5: $i,SV3: $i] :
( ( ( decides @ sK1_X1 @ SV3 @ SV5 )
= $true )
| ( ( program @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(66,plain,
! [SV4: $i] :
( ( ( ~ ( program @ ( sK8_Y @ SV4 ) ) )
= $false )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(67,plain,
! [SV4: $i] :
( ( ( ~ ~ ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) ) )
= $false )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[58]) ).
thf(68,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK7_W @ SX0 @ SX1 ) ) )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(69,plain,
( ( ( program @ sK7_W )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(70,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV1: $i] :
( ( ( program @ SV1 )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(74,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(75,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(76,plain,
! [SV4: $i] :
( ( ( program @ ( sK8_Y @ SV4 ) )
= $true )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(77,plain,
! [SV4: $i] :
( ( ( ~ ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) ) )
= $true )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(78,plain,
! [SV6: $i] :
( ( ( ~ ( program @ SV6 )
| ! [SY41: $i] : ( decides @ sK7_W @ SV6 @ SY41 ) )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(79,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(80,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[70]) ).
thf(81,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(82,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(83,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(84,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(85,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(86,plain,
! [SV4: $i] :
( ( ( algorithm @ SV4 )
= $false )
| ( ( program @ ( sK8_Y @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[76]) ).
thf(87,plain,
! [SV4: $i] :
( ( ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) )
= $false )
| ( ( ~ ( algorithm @ SV4 ) )
= $true )
| ( sK10_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(88,plain,
! [SV6: $i] :
( ( ( ~ ( program @ SV6 ) )
= $true )
| ( ( ! [SY41: $i] : ( decides @ sK7_W @ SV6 @ SY41 ) )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(90,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(91,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(92,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(93,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(96,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(97,plain,
! [SV4: $i] :
( ( ( algorithm @ SV4 )
= $false )
| ( ( decides @ SV4 @ ( sK8_Y @ SV4 ) @ ( sK9_SY28 @ SV4 ) )
= $false )
| ( sK10_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV6: $i] :
( ( ( program @ SV6 )
= $false )
| ( ( ! [SY41: $i] : ( decides @ sK7_W @ SV6 @ SY41 ) )
= $true )
| ( sK10_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV1: $i] :
( ( ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV1: $i] :
( ( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(102,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(103,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(104,plain,
! [SV2: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(105,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(106,plain,
! [SV2: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[94]) ).
thf(107,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(108,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[95]) ).
thf(109,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[96]) ).
thf(110,plain,
! [SV7: $i,SV6: $i] :
( ( ( decides @ sK7_W @ SV6 @ SV7 )
= $true )
| ( ( program @ SV6 )
= $false )
| ( sK10_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV1: $i] :
( ( ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(112,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV1: $i] :
( ( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(114,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[100]) ).
thf(115,plain,
! [SV1: $i] :
( ( ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV1: $i] :
( ( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(118,plain,
! [SV2: $i] :
( ( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(119,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[105]) ).
thf(120,plain,
! [SV2: $i] :
( ( ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(121,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ( program @ ( sK3_Y @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(122,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(123,plain,
! [SV2: $i] :
( ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV1: $i] :
( ( ( ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[111]) ).
thf(125,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[112]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(127,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(128,plain,
! [SV1: $i] :
( ( ( ~ ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(129,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(130,plain,
! [SV1: $i] :
( ( ( ~ ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(131,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(132,plain,
! [SV2: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(133,plain,
! [SV2: $i] :
( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(134,plain,
! [SV2: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(135,plain,
! [SV2: $i] :
( ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(136,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(137,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[122]) ).
thf(138,plain,
! [SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(139,plain,
! [SV1: $i,SV8: $i] :
( ( ( ! [SY42: $i] :
( ~ ( halts2 @ SV8 @ SY42 )
| ~ ( program @ SV8 )
| ( halts3 @ SV1 @ SV8 @ SY42 ) ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(140,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[125]) ).
thf(141,plain,
! [SV1: $i,SV9: $i] :
( ( ( ! [SY43: $i] :
( ~ ( program @ SV9 )
| ( halts2 @ SV9 @ SY43 )
| ( halts3 @ SV1 @ SV9 @ SY43 ) ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(142,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(143,plain,
! [SV1: $i] :
( ( ( ! [SY29: $i,SY30: $i] :
( ~ ( halts2 @ SY29 @ SY30 )
| ~ ( program @ SY29 )
| ( halts3 @ SV1 @ SY29 @ SY30 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(144,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(145,plain,
! [SV1: $i] :
( ( ( ! [SY33: $i,SY34: $i] :
( ~ ( program @ SY33 )
| ( halts2 @ SY33 @ SY34 )
| ( halts3 @ SV1 @ SY33 @ SY34 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(146,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(147,plain,
! [SV2: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(148,plain,
! [SV2: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(149,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(150,plain,
! [SV2: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(151,plain,
! [SV2: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) ) )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[134]) ).
thf(152,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(153,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(154,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(155,plain,
! [SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(156,plain,
! [SV1: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( halts2 @ SV8 @ SV10 )
| ~ ( program @ SV8 )
| ( halts3 @ SV1 @ SV8 @ SV10 ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(157,plain,
! [SV1: $i,SV11: $i] :
( ( ( ! [SY44: $i] :
~ ( halts2 @ SV11 @ SY44 )
| ~ ( program @ SV11 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(158,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( program @ SV9 )
| ( halts2 @ SV9 @ SV12 )
| ( halts3 @ SV1 @ SV9 @ SV12 ) )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(159,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( program @ SV13 )
| ! [SY45: $i] : ( halts2 @ SV13 @ SY45 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(160,plain,
! [SV1: $i,SV14: $i] :
( ( ( ! [SY46: $i] :
( ~ ( halts2 @ SV14 @ SY46 )
| ~ ( program @ SV14 )
| ( halts3 @ SV1 @ SV14 @ SY46 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(161,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(162,plain,
! [SV1: $i,SV15: $i] :
( ( ( ! [SY47: $i] :
( ~ ( program @ SV15 )
| ( halts2 @ SV15 @ SY47 )
| ( halts3 @ SV1 @ SV15 @ SY47 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(163,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(164,plain,
! [SV2: $i] :
( ( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(165,plain,
! [SV2: $i] :
( ( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(166,plain,
! [SV2: $i] :
( ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(167,plain,
! [SV2: $i] :
( ( ( ( program @ ( sK3_Y @ SV2 ) )
| ( program @ ( sK3_Y @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[150]) ).
thf(168,plain,
! [SV2: $i] :
( ( ( ( program @ ( sK3_Y @ SV2 ) )
| ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[151]) ).
thf(169,plain,
! [SV2: $i] :
( ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(170,plain,
! [SV2: $i] :
( ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(171,plain,
! [SV2: $i] :
( ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(172,plain,
! [SV2: $i] :
( ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(173,plain,
! [SV1: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( halts2 @ SV8 @ SV10 )
| ~ ( program @ SV8 ) )
= $true )
| ( ( halts3 @ SV1 @ SV8 @ SV10 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[156]) ).
thf(174,plain,
! [SV1: $i,SV11: $i] :
( ( ( ! [SY44: $i] :
~ ( halts2 @ SV11 @ SY44 ) )
= $true )
| ( ( ~ ( program @ SV11 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(175,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( program @ SV9 )
| ( halts2 @ SV9 @ SV12 ) )
= $true )
| ( ( halts3 @ SV1 @ SV9 @ SV12 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(176,plain,
! [SV1: $i,SV13: $i] :
( ( ( ~ ( program @ SV13 ) )
= $true )
| ( ( ! [SY45: $i] : ( halts2 @ SV13 @ SY45 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(177,plain,
! [SV1: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( halts2 @ SV14 @ SV16 )
| ~ ( program @ SV14 )
| ( halts3 @ SV1 @ SV14 @ SV16 ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(178,plain,
! [SV1: $i,SV17: $i] :
( ( ( ! [SY48: $i] :
~ ( halts2 @ SV17 @ SY48 )
| ~ ( program @ SV17 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(179,plain,
! [SV1: $i,SV18: $i,SV15: $i] :
( ( ( ~ ( program @ SV15 )
| ( halts2 @ SV15 @ SV18 )
| ( halts3 @ SV1 @ SV15 @ SV18 ) )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(180,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( program @ SV19 )
| ! [SY49: $i] : ( halts2 @ SV19 @ SY49 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(181,plain,
! [SV2: $i] :
( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(182,plain,
! [SV2: $i] :
( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(183,plain,
! [SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(184,plain,
! [SV2: $i] :
( ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(185,plain,
! [SV2: $i] :
( ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[168]) ).
thf(186,plain,
! [SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(187,plain,
! [SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(188,plain,
! [SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(189,plain,
! [SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(190,plain,
! [SV1: $i,SV10: $i,SV8: $i] :
( ( ( ~ ( halts2 @ SV8 @ SV10 ) )
= $true )
| ( ( ~ ( program @ SV8 ) )
= $true )
| ( ( halts3 @ SV1 @ SV8 @ SV10 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(191,plain,
! [SV1: $i,SV20: $i,SV11: $i] :
( ( ( ~ ( halts2 @ SV11 @ SV20 ) )
= $true )
| ( ( ~ ( program @ SV11 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(192,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( ~ ( program @ SV9 ) )
= $true )
| ( ( halts2 @ SV9 @ SV12 )
= $true )
| ( ( halts3 @ SV1 @ SV9 @ SV12 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(193,plain,
! [SV1: $i,SV13: $i] :
( ( ( program @ SV13 )
= $false )
| ( ( ! [SY45: $i] : ( halts2 @ SV13 @ SY45 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(194,plain,
! [SV1: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( halts2 @ SV14 @ SV16 )
| ~ ( program @ SV14 ) )
= $true )
| ( ( halts3 @ SV1 @ SV14 @ SV16 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(195,plain,
! [SV1: $i,SV17: $i] :
( ( ( ! [SY48: $i] :
~ ( halts2 @ SV17 @ SY48 ) )
= $true )
| ( ( ~ ( program @ SV17 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(196,plain,
! [SV1: $i,SV18: $i,SV15: $i] :
( ( ( ~ ( program @ SV15 )
| ( halts2 @ SV15 @ SV18 ) )
= $true )
| ( ( halts3 @ SV1 @ SV15 @ SV18 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(197,plain,
! [SV1: $i,SV19: $i] :
( ( ( ~ ( program @ SV19 ) )
= $true )
| ( ( ! [SY49: $i] : ( halts2 @ SV19 @ SY49 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[180]) ).
thf(198,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(199,plain,
! [SV2: $i] :
( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(200,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(201,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(202,plain,
! [SV2: $i] :
( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(203,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(204,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(205,plain,
! [SV2: $i] :
( ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(206,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(207,plain,
! [SV1: $i,SV10: $i,SV8: $i] :
( ( ( halts2 @ SV8 @ SV10 )
= $false )
| ( ( ~ ( program @ SV8 ) )
= $true )
| ( ( halts3 @ SV1 @ SV8 @ SV10 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(208,plain,
! [SV1: $i,SV20: $i,SV11: $i] :
( ( ( halts2 @ SV11 @ SV20 )
= $false )
| ( ( ~ ( program @ SV11 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(209,plain,
! [SV1: $i,SV12: $i,SV9: $i] :
( ( ( program @ SV9 )
= $false )
| ( ( halts2 @ SV9 @ SV12 )
= $true )
| ( ( halts3 @ SV1 @ SV9 @ SV12 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(210,plain,
! [SV1: $i,SV21: $i,SV13: $i] :
( ( ( halts2 @ SV13 @ SV21 )
= $true )
| ( ( program @ SV13 )
= $false )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(211,plain,
! [SV1: $i,SV16: $i,SV14: $i] :
( ( ( ~ ( halts2 @ SV14 @ SV16 ) )
= $true )
| ( ( ~ ( program @ SV14 ) )
= $true )
| ( ( halts3 @ SV1 @ SV14 @ SV16 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(212,plain,
! [SV1: $i,SV22: $i,SV17: $i] :
( ( ( ~ ( halts2 @ SV17 @ SV22 ) )
= $true )
| ( ( ~ ( program @ SV17 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(213,plain,
! [SV1: $i,SV18: $i,SV15: $i] :
( ( ( ~ ( program @ SV15 ) )
= $true )
| ( ( halts2 @ SV15 @ SV18 )
= $true )
| ( ( halts3 @ SV1 @ SV15 @ SV18 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(214,plain,
! [SV1: $i,SV19: $i] :
( ( ( program @ SV19 )
= $false )
| ( ( ! [SY49: $i] : ( halts2 @ SV19 @ SY49 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(215,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(216,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(217,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[200]) ).
thf(218,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(219,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(220,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(221,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(222,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(223,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(224,plain,
! [SV1: $i,SV10: $i,SV8: $i] :
( ( ( program @ SV8 )
= $false )
| ( ( halts2 @ SV8 @ SV10 )
= $false )
| ( ( halts3 @ SV1 @ SV8 @ SV10 )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(225,plain,
! [SV1: $i,SV20: $i,SV11: $i] :
( ( ( program @ SV11 )
= $false )
| ( ( halts2 @ SV11 @ SV20 )
= $false )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK5_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(226,plain,
! [SV1: $i,SV16: $i,SV14: $i] :
( ( ( halts2 @ SV14 @ SV16 )
= $false )
| ( ( ~ ( program @ SV14 ) )
= $true )
| ( ( halts3 @ SV1 @ SV14 @ SV16 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(227,plain,
! [SV1: $i,SV22: $i,SV17: $i] :
( ( ( halts2 @ SV17 @ SV22 )
= $false )
| ( ( ~ ( program @ SV17 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(228,plain,
! [SV1: $i,SV18: $i,SV15: $i] :
( ( ( program @ SV15 )
= $false )
| ( ( halts2 @ SV15 @ SV18 )
= $true )
| ( ( halts3 @ SV1 @ SV15 @ SV18 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(229,plain,
! [SV1: $i,SV23: $i,SV19: $i] :
( ( ( halts2 @ SV19 @ SV23 )
= $true )
| ( ( program @ SV19 )
= $false )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(230,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(231,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(232,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(233,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(234,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(235,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(236,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(237,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(238,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(239,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(240,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(241,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(242,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
| ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(243,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(244,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(245,plain,
! [SV1: $i,SV16: $i,SV14: $i] :
( ( ( program @ SV14 )
= $false )
| ( ( halts2 @ SV14 @ SV16 )
= $false )
| ( ( halts3 @ SV1 @ SV14 @ SV16 )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(246,plain,
! [SV1: $i,SV22: $i,SV17: $i] :
( ( ( program @ SV17 )
= $false )
| ( ( halts2 @ SV17 @ SV22 )
= $false )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK5_Y @ SV1 ) @ ( sK6_SY25 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(247,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(248,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(249,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(250,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(251,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(252,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[234]) ).
thf(253,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(254,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(255,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(256,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[237]) ).
thf(257,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(258,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(259,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(260,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(261,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(262,plain,
! [SV2: $i] :
( ( ( ~ ( program @ ( sK2_V @ SV2 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(263,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(264,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(265,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(266,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(267,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[250]) ).
thf(268,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(269,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[253]) ).
thf(270,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[255]) ).
thf(271,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[256]) ).
thf(272,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[257]) ).
thf(273,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(274,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(275,plain,
! [SV2: $i] :
( ( ( program @ ( sK2_V @ SV2 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(276,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(277,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(278,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[265]) ).
thf(279,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(280,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(281,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(282,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(283,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[269]) ).
thf(284,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(285,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(286,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[272]) ).
thf(287,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(288,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[273]) ).
thf(289,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) )
| ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(290,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(291,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(292,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(293,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(294,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(295,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(296,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(297,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(298,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(299,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(300,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(301,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(302,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(303,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(304,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(305,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(306,plain,
! [SV2: $i] :
( ( ( ~ ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(307,plain,
! [SV2: $i] :
( ( ( ~ ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(308,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(309,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(310,plain,
! [SV24: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV24 @ SV24 )
| ~ ( program @ SV24 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(311,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(312,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(313,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(314,plain,
! [SV25: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV25 @ SV25 )
| ~ ( program @ SV25 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(315,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(316,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV26 @ SV26 )
| ~ ( program @ SV26 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(317,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(318,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(319,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(320,plain,
! [SV27: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV27 @ SV27 )
| ~ ( program @ SV27 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(321,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(322,plain,
! [SV28: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV28 @ SV28 )
| ~ ( program @ SV28 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(323,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(324,plain,
! [SV2: $i] :
( ( ( ! [SY37: $i] :
( ~ ( halts3 @ SV2 @ SY37 @ SY37 )
| ~ ( program @ SY37 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SY37 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(325,plain,
! [SV2: $i] :
( ( ( ~ ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(326,plain,
! [SV29: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV29 @ SV29 )
| ~ ( program @ SV29 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(327,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(328,plain,
! [SV24: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV24 @ SV24 )
| ~ ( program @ SV24 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(329,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(330,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(331,plain,
! [SV30: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV30 @ SV30 )
| ~ ( program @ SV30 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(332,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(333,plain,
! [SV25: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV25 @ SV25 )
| ~ ( program @ SV25 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(334,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(335,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[315]) ).
thf(336,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV26 @ SV26 )
| ~ ( program @ SV26 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[316]) ).
thf(337,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(338,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[317]) ).
thf(339,plain,
! [SV31: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV31 @ SV31 )
| ~ ( program @ SV31 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(340,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(341,plain,
! [SV27: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV27 @ SV27 )
| ~ ( program @ SV27 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[320]) ).
thf(342,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(343,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[321]) ).
thf(344,plain,
! [SV28: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV28 @ SV28 )
| ~ ( program @ SV28 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[322]) ).
thf(345,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(346,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[323]) ).
thf(347,plain,
! [SV32: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV32 @ SV32 )
| ~ ( program @ SV32 )
| ~ ( outputs @ SV2 @ good )
| ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(348,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) )
| ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(349,plain,
! [SV29: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV29 @ SV29 )
| ~ ( program @ SV29 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(350,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(351,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(352,plain,
! [SV24: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV24 @ SV24 )
| ~ ( program @ SV24 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(353,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[329]) ).
thf(354,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(355,plain,
! [SV30: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV30 @ SV30 )
| ~ ( program @ SV30 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(356,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(357,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[332]) ).
thf(358,plain,
! [SV25: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV25 @ SV25 )
| ~ ( program @ SV25 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(359,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[334]) ).
thf(360,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[335]) ).
thf(361,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV26 @ SV26 )
| ~ ( program @ SV26 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(362,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[337]) ).
thf(363,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(364,plain,
! [SV31: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV31 @ SV31 )
| ~ ( program @ SV31 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[339]) ).
thf(365,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(366,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(367,plain,
! [SV27: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV27 @ SV27 )
| ~ ( program @ SV27 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(368,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(369,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(370,plain,
! [SV28: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV28 @ SV28 )
| ~ ( program @ SV28 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(371,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(372,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(373,plain,
! [SV32: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV32 @ SV32 )
| ~ ( program @ SV32 )
| ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(374,plain,
! [SV2: $i] :
( ( ( ~ ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(375,plain,
! [SV2: $i] :
( ( ( ~ ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[348]) ).
thf(376,plain,
! [SV29: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV29 @ SV29 )
| ~ ( program @ SV29 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[349]) ).
thf(377,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(378,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(379,plain,
! [SV24: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV24 @ SV24 ) )
= $true )
| ( ( ~ ( program @ SV24 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(380,plain,
! [SV33: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV33 @ SV33 )
| ~ ( program @ SV33 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV33 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(381,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(382,plain,
! [SV30: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV30 @ SV30 )
| ~ ( program @ SV30 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(383,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(384,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(385,plain,
! [SV25: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV25 @ SV25 ) )
= $true )
| ( ( ~ ( program @ SV25 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[358]) ).
thf(386,plain,
! [SV34: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV34 @ SV34 )
| ~ ( program @ SV34 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV34 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(387,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[360]) ).
thf(388,plain,
! [SV26: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV26 @ SV26 ) )
= $true )
| ( ( ~ ( program @ SV26 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(389,plain,
! [SV35: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV35 @ SV35 )
| ~ ( program @ SV35 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV35 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(390,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(391,plain,
! [SV31: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV31 @ SV31 )
| ~ ( program @ SV31 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[364]) ).
thf(392,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[365]) ).
thf(393,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[366]) ).
thf(394,plain,
! [SV27: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV27 @ SV27 ) )
= $true )
| ( ( ~ ( program @ SV27 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(395,plain,
! [SV36: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV36 @ SV36 )
| ~ ( program @ SV36 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV36 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(396,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(397,plain,
! [SV28: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV28 @ SV28 ) )
= $true )
| ( ( ~ ( program @ SV28 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(398,plain,
! [SV37: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV37 @ SV37 )
| ~ ( program @ SV37 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV37 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(399,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(400,plain,
! [SV32: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV32 @ SV32 )
| ~ ( program @ SV32 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[373]) ).
thf(401,plain,
! [SV2: $i] :
( ( ( ! [SY38: $i] :
( ~ ( halts3 @ SV2 @ SY38 @ SY38 )
| ~ ( program @ SY38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SY38 ) ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(402,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad )
| ( outputs @ ( sK2_V @ SV2 ) @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(403,plain,
! [SV29: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV29 @ SV29 ) )
= $true )
| ( ( ~ ( program @ SV29 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(404,plain,
! [SV38: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV38 @ SV38 )
| ~ ( program @ SV38 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV38 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(405,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(406,plain,
! [SV24: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV24 @ SV24 )
= $false )
| ( ( ~ ( program @ SV24 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(407,plain,
! [SV33: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV33 @ SV33 )
| ~ ( program @ SV33 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV33 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[380]) ).
thf(408,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(409,plain,
! [SV30: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV30 @ SV30 ) )
= $true )
| ( ( ~ ( program @ SV30 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[382]) ).
thf(410,plain,
! [SV39: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV39 @ SV39 )
| ~ ( program @ SV39 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV39 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(411,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(412,plain,
! [SV25: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV25 @ SV25 )
= $false )
| ( ( ~ ( program @ SV25 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(413,plain,
! [SV34: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV34 @ SV34 )
| ~ ( program @ SV34 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV34 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(414,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(415,plain,
! [SV26: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV26 @ SV26 )
= $false )
| ( ( ~ ( program @ SV26 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(416,plain,
! [SV35: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV35 @ SV35 )
| ~ ( program @ SV35 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV35 )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(417,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(418,plain,
! [SV31: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV31 @ SV31 ) )
= $true )
| ( ( ~ ( program @ SV31 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(419,plain,
! [SV40: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV40 @ SV40 )
| ~ ( program @ SV40 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV40 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(420,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[393]) ).
thf(421,plain,
! [SV27: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV27 @ SV27 )
= $false )
| ( ( ~ ( program @ SV27 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(422,plain,
! [SV36: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV36 @ SV36 )
| ~ ( program @ SV36 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV36 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(423,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(424,plain,
! [SV28: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV28 @ SV28 )
= $false )
| ( ( ~ ( program @ SV28 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(425,plain,
! [SV37: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV37 @ SV37 )
| ~ ( program @ SV37 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV37 )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[398]) ).
thf(426,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(427,plain,
! [SV32: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV32 @ SV32 ) )
= $true )
| ( ( ~ ( program @ SV32 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(428,plain,
! [SV41: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV41 @ SV41 )
| ~ ( program @ SV41 )
| ~ ( outputs @ SV2 @ bad )
| ( halts2 @ ( sK2_V @ SV2 ) @ SV41 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(429,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[402]) ).
thf(430,plain,
! [SV29: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV29 @ SV29 )
= $false )
| ( ( ~ ( program @ SV29 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(431,plain,
! [SV38: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV38 @ SV38 )
| ~ ( program @ SV38 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV38 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(432,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(433,plain,
! [SV2: $i,SV24: $i] :
( ( ( program @ SV24 )
= $false )
| ( ( halts3 @ SV2 @ SV24 @ SV24 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(434,plain,
! [SV33: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV33 @ SV33 )
| ~ ( program @ SV33 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV33 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(435,plain,
! [SV42: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV42 @ SV42 )
| ~ ( program @ SV42 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(436,plain,
! [SV30: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV30 @ SV30 )
= $false )
| ( ( ~ ( program @ SV30 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(437,plain,
! [SV39: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV39 @ SV39 )
| ~ ( program @ SV39 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV39 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(438,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(439,plain,
! [SV2: $i,SV25: $i] :
( ( ( program @ SV25 )
= $false )
| ( ( halts3 @ SV2 @ SV25 @ SV25 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(440,plain,
! [SV34: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV34 @ SV34 )
| ~ ( program @ SV34 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV34 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(441,plain,
! [SV43: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV43 @ SV43 )
| ~ ( program @ SV43 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(442,plain,
! [SV2: $i,SV26: $i] :
( ( ( program @ SV26 )
= $false )
| ( ( halts3 @ SV2 @ SV26 @ SV26 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(443,plain,
! [SV35: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV35 @ SV35 )
| ~ ( program @ SV35 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV35 )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(444,plain,
! [SV44: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV44 @ SV44 )
| ~ ( program @ SV44 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(445,plain,
! [SV31: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV31 @ SV31 )
= $false )
| ( ( ~ ( program @ SV31 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(446,plain,
! [SV40: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV40 @ SV40 )
| ~ ( program @ SV40 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV40 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[419]) ).
thf(447,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(448,plain,
! [SV2: $i,SV27: $i] :
( ( ( program @ SV27 )
= $false )
| ( ( halts3 @ SV2 @ SV27 @ SV27 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(449,plain,
! [SV36: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV36 @ SV36 )
| ~ ( program @ SV36 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV36 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(450,plain,
! [SV45: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV45 @ SV45 )
| ~ ( program @ SV45 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(451,plain,
! [SV2: $i,SV28: $i] :
( ( ( program @ SV28 )
= $false )
| ( ( halts3 @ SV2 @ SV28 @ SV28 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(452,plain,
! [SV37: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV37 @ SV37 )
| ~ ( program @ SV37 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV37 )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(453,plain,
! [SV46: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV46 @ SV46 )
| ~ ( program @ SV46 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(454,plain,
! [SV32: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV32 @ SV32 )
= $false )
| ( ( ~ ( program @ SV32 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(455,plain,
! [SV41: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV41 @ SV41 )
| ~ ( program @ SV41 )
| ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV41 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(456,plain,
! [SV2: $i] :
( ( ( ! [SY39: $i] :
( ~ ( halts3 @ SV2 @ SY39 @ SY39 )
| ~ ( program @ SY39 ) ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(457,plain,
! [SV2: $i,SV29: $i] :
( ( ( program @ SV29 )
= $false )
| ( ( halts3 @ SV2 @ SV29 @ SV29 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(458,plain,
! [SV38: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV38 @ SV38 )
| ~ ( program @ SV38 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV38 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[431]) ).
thf(459,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV47 @ SV47 )
| ~ ( program @ SV47 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(460,plain,
! [SV24: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV24 @ SV24 )
= $false )
| ( ( program @ SV24 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV24 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(461,plain,
! [SV33: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV33 @ SV33 ) )
= $true )
| ( ( ~ ( program @ SV33 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV33 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(462,plain,
! [SV42: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV42 @ SV42 ) )
= $true )
| ( ( ~ ( program @ SV42 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(463,plain,
! [SV2: $i,SV30: $i] :
( ( ( program @ SV30 )
= $false )
| ( ( halts3 @ SV2 @ SV30 @ SV30 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(464,plain,
! [SV39: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV39 @ SV39 )
| ~ ( program @ SV39 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV39 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[437]) ).
thf(465,plain,
! [SV48: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV48 @ SV48 )
| ~ ( program @ SV48 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(466,plain,
! [SV25: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV25 @ SV25 )
= $false )
| ( ( program @ SV25 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV25 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(467,plain,
! [SV34: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV34 @ SV34 ) )
= $true )
| ( ( ~ ( program @ SV34 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV34 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(468,plain,
! [SV43: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV43 @ SV43 ) )
= $true )
| ( ( ~ ( program @ SV43 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(469,plain,
! [SV26: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV26 @ SV26 )
= $false )
| ( ( program @ SV26 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV26 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(470,plain,
! [SV35: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV35 @ SV35 ) )
= $true )
| ( ( ~ ( program @ SV35 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV35 )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(471,plain,
! [SV44: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV44 @ SV44 ) )
= $true )
| ( ( ~ ( program @ SV44 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[444]) ).
thf(472,plain,
! [SV2: $i,SV31: $i] :
( ( ( program @ SV31 )
= $false )
| ( ( halts3 @ SV2 @ SV31 @ SV31 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(473,plain,
! [SV40: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV40 @ SV40 )
| ~ ( program @ SV40 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV40 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(474,plain,
! [SV49: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV49 @ SV49 )
| ~ ( program @ SV49 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(475,plain,
! [SV27: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV27 @ SV27 )
= $false )
| ( ( program @ SV27 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV27 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(476,plain,
! [SV36: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV36 @ SV36 ) )
= $true )
| ( ( ~ ( program @ SV36 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV36 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(477,plain,
! [SV45: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV45 @ SV45 ) )
= $true )
| ( ( ~ ( program @ SV45 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(478,plain,
! [SV28: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV28 @ SV28 )
= $false )
| ( ( program @ SV28 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV28 ) )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(479,plain,
! [SV37: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV37 @ SV37 ) )
= $true )
| ( ( ~ ( program @ SV37 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV37 )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(480,plain,
! [SV46: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV46 @ SV46 ) )
= $true )
| ( ( ~ ( program @ SV46 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(481,plain,
! [SV2: $i,SV32: $i] :
( ( ( program @ SV32 )
= $false )
| ( ( halts3 @ SV2 @ SV32 @ SV32 )
= $false )
| ( ( ~ ( outputs @ SV2 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(482,plain,
! [SV41: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV41 @ SV41 )
| ~ ( program @ SV41 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV41 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(483,plain,
! [SV50: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV50 @ SV50 )
| ~ ( program @ SV50 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(484,plain,
! [SV29: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV29 @ SV29 )
= $false )
| ( ( program @ SV29 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV29 ) )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(485,plain,
! [SV38: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV38 @ SV38 ) )
= $true )
| ( ( ~ ( program @ SV38 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV38 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(486,plain,
! [SV47: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV47 @ SV47 ) )
= $true )
| ( ( ~ ( program @ SV47 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(487,plain,
! [SV24: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV24 )
= $false )
| ( ( program @ SV24 )
= $false )
| ( ( halts3 @ SV2 @ SV24 @ SV24 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(488,plain,
! [SV33: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV33 @ SV33 )
= $false )
| ( ( ~ ( program @ SV33 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV33 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(489,plain,
! [SV42: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV42 @ SV42 )
= $false )
| ( ( ~ ( program @ SV42 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(490,plain,
! [SV30: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV30 @ SV30 )
= $false )
| ( ( program @ SV30 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV30 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(491,plain,
! [SV39: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV39 @ SV39 ) )
= $true )
| ( ( ~ ( program @ SV39 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV39 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(492,plain,
! [SV48: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV48 @ SV48 ) )
= $true )
| ( ( ~ ( program @ SV48 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(493,plain,
! [SV25: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV25 )
= $false )
| ( ( program @ SV25 )
= $false )
| ( ( halts3 @ SV2 @ SV25 @ SV25 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(494,plain,
! [SV34: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV34 @ SV34 )
= $false )
| ( ( ~ ( program @ SV34 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV34 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(495,plain,
! [SV43: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV43 @ SV43 )
= $false )
| ( ( ~ ( program @ SV43 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(496,plain,
! [SV26: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV26 )
= $false )
| ( ( program @ SV26 )
= $false )
| ( ( halts3 @ SV2 @ SV26 @ SV26 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(497,plain,
! [SV35: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV35 @ SV35 )
= $false )
| ( ( ~ ( program @ SV35 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV35 )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(498,plain,
! [SV44: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV44 @ SV44 )
= $false )
| ( ( ~ ( program @ SV44 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(499,plain,
! [SV31: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV31 @ SV31 )
= $false )
| ( ( program @ SV31 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV31 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(500,plain,
! [SV40: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV40 @ SV40 ) )
= $true )
| ( ( ~ ( program @ SV40 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV40 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[473]) ).
thf(501,plain,
! [SV49: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV49 @ SV49 ) )
= $true )
| ( ( ~ ( program @ SV49 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[474]) ).
thf(502,plain,
! [SV27: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV27 )
= $false )
| ( ( program @ SV27 )
= $false )
| ( ( halts3 @ SV2 @ SV27 @ SV27 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(503,plain,
! [SV36: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV36 @ SV36 )
= $false )
| ( ( ~ ( program @ SV36 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV36 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(504,plain,
! [SV45: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV45 @ SV45 )
= $false )
| ( ( ~ ( program @ SV45 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(505,plain,
! [SV28: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV28 )
= $false )
| ( ( program @ SV28 )
= $false )
| ( ( halts3 @ SV2 @ SV28 @ SV28 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(506,plain,
! [SV37: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV37 @ SV37 )
= $false )
| ( ( ~ ( program @ SV37 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV37 )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(507,plain,
! [SV46: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV46 @ SV46 )
= $false )
| ( ( ~ ( program @ SV46 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(508,plain,
! [SV32: $i,SV2: $i] :
( ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ SV32 @ SV32 )
= $false )
| ( ( program @ SV32 )
= $false )
| ( ( ~ ( halts2 @ ( sK2_V @ SV2 ) @ SV32 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(509,plain,
! [SV41: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV41 @ SV41 ) )
= $true )
| ( ( ~ ( program @ SV41 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV41 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(510,plain,
! [SV50: $i,SV2: $i] :
( ( ( ~ ( halts3 @ SV2 @ SV50 @ SV50 ) )
= $true )
| ( ( ~ ( program @ SV50 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(511,plain,
! [SV29: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV29 )
= $false )
| ( ( program @ SV29 )
= $false )
| ( ( halts3 @ SV2 @ SV29 @ SV29 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(512,plain,
! [SV38: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV38 @ SV38 )
= $false )
| ( ( ~ ( program @ SV38 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV38 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(513,plain,
! [SV47: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV47 @ SV47 )
= $false )
| ( ( ~ ( program @ SV47 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(514,plain,
! [SV2: $i,SV33: $i] :
( ( ( program @ SV33 )
= $false )
| ( ( halts3 @ SV2 @ SV33 @ SV33 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV33 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(515,plain,
! [SV2: $i,SV42: $i] :
( ( ( program @ SV42 )
= $false )
| ( ( halts3 @ SV2 @ SV42 @ SV42 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(516,plain,
! [SV30: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV30 )
= $false )
| ( ( program @ SV30 )
= $false )
| ( ( halts3 @ SV2 @ SV30 @ SV30 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[490]) ).
thf(517,plain,
! [SV39: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV39 @ SV39 )
= $false )
| ( ( ~ ( program @ SV39 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV39 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(518,plain,
! [SV48: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV48 @ SV48 )
= $false )
| ( ( ~ ( program @ SV48 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(519,plain,
! [SV2: $i,SV34: $i] :
( ( ( program @ SV34 )
= $false )
| ( ( halts3 @ SV2 @ SV34 @ SV34 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV34 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(520,plain,
! [SV2: $i,SV43: $i] :
( ( ( program @ SV43 )
= $false )
| ( ( halts3 @ SV2 @ SV43 @ SV43 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(521,plain,
! [SV2: $i,SV35: $i] :
( ( ( program @ SV35 )
= $false )
| ( ( halts3 @ SV2 @ SV35 @ SV35 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV35 )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[497]) ).
thf(522,plain,
! [SV2: $i,SV44: $i] :
( ( ( program @ SV44 )
= $false )
| ( ( halts3 @ SV2 @ SV44 @ SV44 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(523,plain,
! [SV31: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV31 )
= $false )
| ( ( program @ SV31 )
= $false )
| ( ( halts3 @ SV2 @ SV31 @ SV31 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(524,plain,
! [SV40: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV40 @ SV40 )
= $false )
| ( ( ~ ( program @ SV40 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV40 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(525,plain,
! [SV49: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV49 @ SV49 )
= $false )
| ( ( ~ ( program @ SV49 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(526,plain,
! [SV2: $i,SV36: $i] :
( ( ( program @ SV36 )
= $false )
| ( ( halts3 @ SV2 @ SV36 @ SV36 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV36 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(527,plain,
! [SV2: $i,SV45: $i] :
( ( ( program @ SV45 )
= $false )
| ( ( halts3 @ SV2 @ SV45 @ SV45 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(528,plain,
! [SV2: $i,SV37: $i] :
( ( ( program @ SV37 )
= $false )
| ( ( halts3 @ SV2 @ SV37 @ SV37 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV37 )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(529,plain,
! [SV2: $i,SV46: $i] :
( ( ( program @ SV46 )
= $false )
| ( ( halts3 @ SV2 @ SV46 @ SV46 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(530,plain,
! [SV32: $i,SV2: $i] :
( ( ( halts2 @ ( sK2_V @ SV2 ) @ SV32 )
= $false )
| ( ( program @ SV32 )
= $false )
| ( ( halts3 @ SV2 @ SV32 @ SV32 )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(531,plain,
! [SV41: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV41 @ SV41 )
= $false )
| ( ( ~ ( program @ SV41 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV41 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[509]) ).
thf(532,plain,
! [SV50: $i,SV2: $i] :
( ( ( halts3 @ SV2 @ SV50 @ SV50 )
= $false )
| ( ( ~ ( program @ SV50 ) )
= $true )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(533,plain,
! [SV2: $i,SV38: $i] :
( ( ( program @ SV38 )
= $false )
| ( ( halts3 @ SV2 @ SV38 @ SV38 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV38 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(534,plain,
! [SV2: $i,SV47: $i] :
( ( ( program @ SV47 )
= $false )
| ( ( halts3 @ SV2 @ SV47 @ SV47 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(535,plain,
! [SV33: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV33 @ SV33 )
= $false )
| ( ( program @ SV33 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV33 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[514]) ).
thf(536,plain,
! [SV42: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV42 @ SV42 )
= $false )
| ( ( program @ SV42 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(537,plain,
! [SV2: $i,SV39: $i] :
( ( ( program @ SV39 )
= $false )
| ( ( halts3 @ SV2 @ SV39 @ SV39 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV39 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(538,plain,
! [SV2: $i,SV48: $i] :
( ( ( program @ SV48 )
= $false )
| ( ( halts3 @ SV2 @ SV48 @ SV48 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(539,plain,
! [SV34: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV34 @ SV34 )
= $false )
| ( ( program @ SV34 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV34 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(540,plain,
! [SV43: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV43 @ SV43 )
= $false )
| ( ( program @ SV43 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(541,plain,
! [SV35: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV35 @ SV35 )
= $false )
| ( ( program @ SV35 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV35 )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(542,plain,
! [SV44: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV44 @ SV44 )
= $false )
| ( ( program @ SV44 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(543,plain,
! [SV2: $i,SV40: $i] :
( ( ( program @ SV40 )
= $false )
| ( ( halts3 @ SV2 @ SV40 @ SV40 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV40 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(544,plain,
! [SV2: $i,SV49: $i] :
( ( ( program @ SV49 )
= $false )
| ( ( halts3 @ SV2 @ SV49 @ SV49 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(545,plain,
! [SV36: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV36 @ SV36 )
= $false )
| ( ( program @ SV36 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV36 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(546,plain,
! [SV45: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV45 @ SV45 )
= $false )
| ( ( program @ SV45 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(547,plain,
! [SV37: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV37 @ SV37 )
= $false )
| ( ( program @ SV37 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV37 )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(548,plain,
! [SV46: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV46 @ SV46 )
= $false )
| ( ( program @ SV46 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(549,plain,
! [SV2: $i,SV41: $i] :
( ( ( program @ SV41 )
= $false )
| ( ( halts3 @ SV2 @ SV41 @ SV41 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV41 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(550,plain,
! [SV2: $i,SV50: $i] :
( ( ( program @ SV50 )
= $false )
| ( ( halts3 @ SV2 @ SV50 @ SV50 )
= $false )
| ( ( ~ ( outputs @ SV2 @ bad ) )
= $true )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(551,plain,
! [SV38: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV38 @ SV38 )
= $false )
| ( ( program @ SV38 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV38 )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(552,plain,
! [SV47: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV47 @ SV47 )
= $false )
| ( ( program @ SV47 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(553,plain,
! [SV39: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV39 @ SV39 )
= $false )
| ( ( program @ SV39 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV39 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(554,plain,
! [SV48: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV48 @ SV48 )
= $false )
| ( ( program @ SV48 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(555,plain,
! [SV40: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV40 @ SV40 )
= $false )
| ( ( program @ SV40 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV40 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(556,plain,
! [SV49: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV49 @ SV49 )
= $false )
| ( ( program @ SV49 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV2 ) )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(557,plain,
! [SV41: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV41 @ SV41 )
= $false )
| ( ( program @ SV41 )
= $false )
| ( ( halts2 @ ( sK2_V @ SV2 ) @ SV41 )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(558,plain,
! [SV50: $i,SV2: $i] :
( ( ( outputs @ SV2 @ bad )
= $false )
| ( ( halts3 @ SV2 @ SV50 @ SV50 )
= $false )
| ( ( program @ SV50 )
= $false )
| ( ( outputs @ ( sK2_V @ SV2 ) @ bad )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( halts3 @ SV2 @ ( sK3_Y @ SV2 ) @ ( sK4_SY24 @ SV2 ) )
= $false )
| ( ( outputs @ SV2 @ good )
= $false )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[550]) ).
thf(559,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,558,557,556,555,554,553,552,551,548,547,546,545,542,541,540,539,536,535,530,523,516,511,505,502,496,493,487,275,271,267,264,260,258,254,252,248,246,245,229,228,225,224,210,209,110,97,86,69,65]) ).
thf(560,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[559]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM003+3 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 16:42:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36
% 0.13/0.36 No.of.Axioms: 3
% 0.13/0.36
% 0.13/0.36 Length.of.Defs: 0
% 0.13/0.36
% 0.13/0.36 Contains.Choice.Funs: false
% 0.13/0.36 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full)...........................
% 0.46/0.70
% 0.46/0.70 ********************************
% 0.46/0.70 * All subproblems solved! *
% 0.46/0.70 ********************************
% 0.46/0.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:559,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.71/0.90
% 0.71/0.90 %**** Beginning of derivation protocol ****
% 0.71/0.90 % SZS output start CNFRefutation
% See solution above
% 0.71/0.90
% 0.71/0.90 %**** End of derivation protocol ****
% 0.71/0.90 %**** no. of clauses in derivation: 560 ****
% 0.71/0.90 %**** clause counter: 559 ****
% 0.71/0.90
% 0.71/0.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:3,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:559,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------