TSTP Solution File: COM003+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : COM003+1 : 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 : n007.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 01:28:31 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 26
% Syntax : Number of formulae : 416 ( 46 unt; 21 typ; 0 def)
% Number of atoms : 5365 (1228 equ; 0 cnn)
% Maximal formula atoms : 18 ( 13 avg)
% Number of connectives : 10908 (2428 ~;2338 |; 132 &;5966 @)
% ( 0 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 825 ( 0 ^ 809 !; 16 ?; 825 :)
% 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_W,type,
sK10_W: $i ).
thf(tp_sK11_Y,type,
sK11_Y: $i > $i ).
thf(tp_sK12_SY34,type,
sK12_SY34: $i > $i ).
thf(tp_sK13_REN,type,
sK13_REN: $o ).
thf(tp_sK1_X1,type,
sK1_X1: $i ).
thf(tp_sK2_U,type,
sK2_U: $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i > $i ).
thf(tp_sK4_REN,type,
sK4_REN: $o ).
thf(tp_sK5_V,type,
sK5_V: $i ).
thf(tp_sK6_Y,type,
sK6_Y: $i > $i ).
thf(tp_sK7_REN,type,
sK7_REN: $o ).
thf(tp_sK8_Y,type,
sK8_Y: $i > $i ).
thf(tp_sK9_SY31,type,
sK9_SY31: $i > $i ).
thf(1,axiom,
( ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ) )
=> ? [U: $i] :
( ( program @ U )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ~ ( halts2 @ U @ Y ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ U @ Y )
& ( outputs @ U @ bad ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
thf(2,axiom,
( ? [W: $i] :
( ( program @ W )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ bad ) ) ) ) )
=> ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
thf(3,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(4,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(5,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(6,negated_conjecture,
( ( ~ ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
( ( ~ ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ) )
=> ? [U: $i] :
( ( program @ U )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ~ ( halts2 @ U @ Y ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ U @ Y )
& ( outputs @ U @ bad ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ? [W: $i] :
( ( program @ W )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ bad ) ) ) ) )
=> ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ good ) ) )
& ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,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)],[3]) ).
thf(11,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)],[4]) ).
thf(12,plain,
( ( ? [X1: $i] :
( ( algorithm @ X1 )
& ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [SY22: $i] :
( ~ ( program @ SY22 )
| ! [SY23: $i] : ( decides @ sK1_X1 @ SY22 @ SY23 ) )
& ( algorithm @ sK1_X1 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(14,plain,
( ( ( ! [V: $i] :
( ( ( ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) )
| ( program @ ( sK3_Y @ V ) ) )
& ( ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) )
| ~ ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) ) )
& ( ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) )
| ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ bad ) )
& ( ( program @ ( sK3_Y @ V ) )
| ( program @ ( sK3_Y @ V ) ) )
& ( ( program @ ( sK3_Y @ V ) )
| ~ ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) ) )
& ( ( program @ ( sK3_Y @ V ) )
| ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ bad ) )
& ( ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ good )
| ( program @ ( sK3_Y @ V ) ) )
& ( ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ good )
| ~ ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) ) )
& ( ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ good )
| ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ bad ) ) )
| ~ ( program @ V ) )
| sK4_REN )
& ( sK4_REN
=> ( ! [SY24: $i] :
( ~ ( halts2 @ SY24 @ SY24 )
| ~ ( program @ SY24 )
| ~ ( halts2 @ sK2_U @ SY24 ) )
& ! [SY25: $i] :
( ~ ( program @ SY25 )
| ( halts2 @ SY25 @ SY25 )
| ( halts2 @ sK2_U @ SY25 ) )
& ( ! [Y: $i] :
( ~ ( program @ Y )
| ( halts2 @ Y @ Y ) )
| ( outputs @ sK2_U @ bad ) )
& ( program @ sK2_U ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(15,plain,
( ( ( ! [W: $i] :
( ( ( ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ( program @ ( sK6_Y @ W ) ) )
& ( ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) ) )
& ( ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ( program @ ( sK6_Y @ W ) )
| ( program @ ( sK6_Y @ W ) ) )
& ( ( program @ ( sK6_Y @ W ) )
| ~ ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) ) )
& ( ( program @ ( sK6_Y @ W ) )
| ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ good )
| ( program @ ( sK6_Y @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ bad ) ) )
| ~ ( program @ W ) )
| sK7_REN )
& ( sK7_REN
=> ( ! [SY27: $i] :
( ~ ( halts2 @ SY27 @ SY27 )
| ~ ( program @ SY27 )
| ( halts2 @ sK5_V @ SY27 ) )
& ( ! [Y: $i] :
( ~ ( halts2 @ Y @ Y )
| ~ ( program @ Y ) )
| ( outputs @ sK5_V @ good ) )
& ! [SY29: $i] :
( ~ ( program @ SY29 )
| ( halts2 @ SY29 @ SY29 )
| ( halts2 @ sK5_V @ SY29 ) )
& ( ! [Y: $i] :
( ~ ( program @ Y )
| ( halts2 @ Y @ Y ) )
| ( outputs @ sK5_V @ bad ) )
& ( program @ sK5_V ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(16,plain,
( ( ! [W: $i] :
( ( ( program @ ( sK8_Y @ W ) )
& ~ ( decides @ W @ ( sK8_Y @ W ) @ ( sK9_SY31 @ 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)],[10]) ).
thf(17,plain,
( ( ( ! [X: $i] :
( ( ( program @ ( sK11_Y @ X ) )
& ~ ( decides @ X @ ( sK11_Y @ X ) @ ( sK12_SY34 @ X ) ) )
| ~ ( algorithm @ X ) )
| sK13_REN )
& ( sK13_REN
=> ( ! [SY32: $i] :
( ~ ( program @ SY32 )
| ! [SY33: $i] : ( decides @ sK10_W @ SY32 @ SY33 ) )
& ( program @ sK10_W ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(18,plain,
( ( ( ! [X: $i] :
( ( ( program @ ( sK11_Y @ X ) )
& ~ ( decides @ X @ ( sK11_Y @ X ) @ ( sK12_SY34 @ X ) ) )
| ~ ( algorithm @ X ) )
| sK13_REN )
& ( sK13_REN
=> ( ! [SY32: $i] :
( ~ ( program @ SY32 )
| ! [SY33: $i] : ( decides @ sK10_W @ SY32 @ SY33 ) )
& ( program @ sK10_W ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [W: $i] :
( ( ( program @ ( sK8_Y @ W ) )
& ~ ( decides @ W @ ( sK8_Y @ W ) @ ( sK9_SY31 @ 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)],[16]) ).
thf(20,plain,
( ( ( ! [W: $i] :
( ( ( ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ( program @ ( sK6_Y @ W ) ) )
& ( ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) ) )
& ( ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ( program @ ( sK6_Y @ W ) )
| ( program @ ( sK6_Y @ W ) ) )
& ( ( program @ ( sK6_Y @ W ) )
| ~ ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) ) )
& ( ( program @ ( sK6_Y @ W ) )
| ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ bad ) )
& ( ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ good )
| ( program @ ( sK6_Y @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts2 @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) ) )
& ( ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ good )
| ~ ( halts3 @ W @ ( sK6_Y @ W ) @ ( sK6_Y @ W ) )
| ~ ( outputs @ W @ bad ) ) )
| ~ ( program @ W ) )
| sK7_REN )
& ( sK7_REN
=> ( ! [SY27: $i] :
( ~ ( halts2 @ SY27 @ SY27 )
| ~ ( program @ SY27 )
| ( halts2 @ sK5_V @ SY27 ) )
& ( ! [Y: $i] :
( ~ ( halts2 @ Y @ Y )
| ~ ( program @ Y ) )
| ( outputs @ sK5_V @ good ) )
& ! [SY29: $i] :
( ~ ( program @ SY29 )
| ( halts2 @ SY29 @ SY29 )
| ( halts2 @ sK5_V @ SY29 ) )
& ( ! [Y: $i] :
( ~ ( program @ Y )
| ( halts2 @ Y @ Y ) )
| ( outputs @ sK5_V @ bad ) )
& ( program @ sK5_V ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(21,plain,
( ( ( ! [V: $i] :
( ( ( ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) )
| ( program @ ( sK3_Y @ V ) ) )
& ( ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) )
| ~ ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) ) )
& ( ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) )
| ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ bad ) )
& ( ( program @ ( sK3_Y @ V ) )
| ( program @ ( sK3_Y @ V ) ) )
& ( ( program @ ( sK3_Y @ V ) )
| ~ ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) ) )
& ( ( program @ ( sK3_Y @ V ) )
| ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ bad ) )
& ( ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ good )
| ( program @ ( sK3_Y @ V ) ) )
& ( ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ good )
| ~ ( halts2 @ ( sK3_Y @ V ) @ ( sK3_Y @ V ) ) )
& ( ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ good )
| ~ ( halts2 @ V @ ( sK3_Y @ V ) )
| ~ ( outputs @ V @ bad ) ) )
| ~ ( program @ V ) )
| sK4_REN )
& ( sK4_REN
=> ( ! [SY24: $i] :
( ~ ( halts2 @ SY24 @ SY24 )
| ~ ( program @ SY24 )
| ~ ( halts2 @ sK2_U @ SY24 ) )
& ! [SY25: $i] :
( ~ ( program @ SY25 )
| ( halts2 @ SY25 @ SY25 )
| ( halts2 @ sK2_U @ SY25 ) )
& ( ! [Y: $i] :
( ~ ( program @ Y )
| ( halts2 @ Y @ Y ) )
| ( outputs @ sK2_U @ bad ) )
& ( program @ sK2_U ) ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(22,plain,
( ( ! [SY22: $i] :
( ~ ( program @ SY22 )
| ! [SY23: $i] : ( decides @ sK1_X1 @ SY22 @ SY23 ) )
& ( algorithm @ sK1_X1 ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK7_REN )
| ~ ( ~ sK7_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(25,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK8_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK8_Y @ SX0 ) @ ( sK9_SY31 @ 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)],[19]) ).
thf(26,plain,
( ( ~ ( ~ ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK11_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK11_Y @ SX0 ) @ ( sK12_SY34 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK13_REN )
| ~ ( ~ sK13_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(27,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) )
| ~ ( algorithm @ sK1_X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(28,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK7_REN )
| ~ ( ~ sK7_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(29,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK4_REN )
| ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV1: $i] :
( ( ~ ( ~ ( program @ ( sK8_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) ) )
| ~ ( program @ SV1 )
| ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(31,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK11_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK11_Y @ SX0 ) @ ( sK12_SY34 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK13_REN )
| ~ ( ~ sK13_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(32,plain,
( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) )
| ~ ( algorithm @ sK1_X1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK7_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(34,plain,
( ( ~ ( ~ sK7_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(35,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK4_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(36,plain,
( ( ~ ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(37,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( program @ ( sK8_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) ) )
| ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(38,plain,
( ( ~ ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK11_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK11_Y @ SX0 ) @ ( sK12_SY34 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK13_REN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(39,plain,
( ( ~ ( ~ sK13_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(40,plain,
( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(41,plain,
( ( ~ ( algorithm @ sK1_X1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(42,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK7_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[33]) ).
thf(43,plain,
( ( ~ sK7_REN
| ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(44,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) )
| sK4_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(45,plain,
( ( ~ sK4_REN
| ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(46,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ( program @ ( sK8_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[37]) ).
thf(47,plain,
( ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK11_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK11_Y @ SX0 ) @ ( sK12_SY34 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) )
| sK13_REN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(48,plain,
( ( ~ sK13_REN
| ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(49,plain,
( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK1_X1 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(50,plain,
( ( algorithm @ sK1_X1 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(51,plain,
( ( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SX0 ) )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK6_Y @ SX0 ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts3 @ SX0 @ ( sK6_Y @ SX0 ) @ ( sK6_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(52,plain,
( ( ( ~ sK7_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(53,plain,
( ( ( ! [SX0: $i] :
( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SX0 ) )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ( program @ ( sK3_Y @ SX0 ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ ( sK3_Y @ SX0 ) @ ( sK3_Y @ SX0 ) ) ) )
| ~ ( ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ good )
| ~ ( halts2 @ SX0 @ ( sK3_Y @ SX0 ) )
| ~ ( outputs @ SX0 @ bad ) ) ) )
| ~ ( program @ SX0 ) ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(54,plain,
( ( ( ~ sK4_REN )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV1: $i] :
( ( ( ~ ( program @ ( sK8_Y @ SV1 ) )
| ~ ~ ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(56,plain,
( ( ( ! [SX0: $i] :
( ~ ( ~ ( program @ ( sK11_Y @ SX0 ) )
| ~ ~ ( decides @ SX0 @ ( sK11_Y @ SX0 ) @ ( sK12_SY34 @ SX0 ) ) )
| ~ ( algorithm @ SX0 ) ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(57,plain,
( ( ( ~ sK13_REN )
= $true )
| ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(58,plain,
! [SV2: $i] :
( ( ~ ( program @ SV2 )
| ! [SY43: $i] : ( decides @ sK1_X1 @ SV2 @ SY43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(59,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
| ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(60,plain,
( ( sK7_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
| ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(62,plain,
( ( sK4_REN = $false )
| ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV1: $i] :
( ( ( ~ ( program @ ( sK8_Y @ SV1 ) ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(64,plain,
! [SV1: $i] :
( ( ( ~ ~ ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[55]) ).
thf(65,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( program @ ( sK11_Y @ SV5 ) )
| ~ ~ ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) ) )
| ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(66,plain,
( ( sK13_REN = $false )
| ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV2: $i] :
( ( ( ~ ( program @ SV2 ) )
= $true )
| ( ( ! [SY43: $i] : ( decides @ sK1_X1 @ SV2 @ SY43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(69,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
| ~ ( program @ sK5_V ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(71,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
| ~ ( program @ sK2_U ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[62]) ).
thf(72,plain,
! [SV1: $i] :
( ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(73,plain,
! [SV1: $i] :
( ( ( ~ ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) ) )
= $true )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(74,plain,
! [SV5: $i] :
( ( ( ~ ( ~ ( program @ ( sK11_Y @ SV5 ) )
| ~ ~ ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) ) ) )
= $true )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(75,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) )
| ~ ( program @ sK10_W ) )
= $false )
| ( sK13_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV2: $i] :
( ( ( program @ SV2 )
= $false )
| ( ( ! [SY43: $i] : ( decides @ sK1_X1 @ SV2 @ SY43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(78,plain,
( ( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(79,plain,
( ( ( ~ ( program @ sK5_V ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[69]) ).
thf(80,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(81,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(82,plain,
( ( ( ~ ( program @ sK2_U ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(83,plain,
! [SV1: $i] :
( ( ( program @ SV1 )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV1: $i] :
( ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( ~ ( program @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(85,plain,
! [SV5: $i] :
( ( ( ~ ( program @ ( sK11_Y @ SV5 ) )
| ~ ~ ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) ) )
= $false )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(86,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) ) )
= $false )
| ( sK13_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(87,plain,
( ( ( ~ ( program @ sK10_W ) )
= $false )
| ( sK13_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[75]) ).
thf(88,plain,
! [SV6: $i,SV2: $i] :
( ( ( decides @ sK1_X1 @ SV2 @ SV6 )
= $true )
| ( ( program @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(89,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(90,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(91,plain,
( ( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(92,plain,
( ( ( program @ sK5_V )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(93,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(94,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[80]) ).
thf(95,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(96,plain,
( ( ( program @ sK2_U )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(97,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV1: $i] :
( ( ( program @ SV1 )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV5: $i] :
( ( ( ~ ( program @ ( sK11_Y @ SV5 ) ) )
= $false )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(100,plain,
! [SV5: $i] :
( ( ( ~ ~ ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) ) )
= $false )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(101,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ! [SX1: $i] : ( decides @ sK10_W @ SX0 @ SX1 ) ) )
= $true )
| ( sK13_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(102,plain,
( ( ( program @ sK10_W )
= $true )
| ( sK13_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(103,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(104,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(105,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(107,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(108,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(109,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(110,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(111,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
| ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(112,plain,
! [SV5: $i] :
( ( ( program @ ( sK11_Y @ SV5 ) )
= $true )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(113,plain,
! [SV5: $i] :
( ( ( ~ ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) ) )
= $true )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[100]) ).
thf(114,plain,
! [SV7: $i] :
( ( ( ~ ( program @ SV7 )
| ! [SY44: $i] : ( decides @ sK10_W @ SV7 @ SY44 ) )
= $true )
| ( sK13_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(115,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(117,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(118,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[105]) ).
thf(119,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(120,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(121,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(122,plain,
( ( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[108]) ).
thf(123,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(124,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[110]) ).
thf(125,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(126,plain,
! [SV1: $i] :
( ( ( ~ ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[111]) ).
thf(127,plain,
! [SV5: $i] :
( ( ( algorithm @ SV5 )
= $false )
| ( ( program @ ( sK11_Y @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(128,plain,
! [SV5: $i] :
( ( ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) )
= $false )
| ( ( ~ ( algorithm @ SV5 ) )
= $true )
| ( sK13_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(129,plain,
! [SV7: $i] :
( ( ( ~ ( program @ SV7 ) )
= $true )
| ( ( ! [SY44: $i] : ( decides @ sK10_W @ SV7 @ SY44 ) )
= $true )
| ( sK13_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[114]) ).
thf(130,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(131,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[115]) ).
thf(132,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(133,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[116]) ).
thf(134,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[117]) ).
thf(135,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(136,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(137,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[119]) ).
thf(138,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(139,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(140,plain,
( ( ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ~ ( halts2 @ sK2_U @ SX0 ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[121]) ).
thf(141,plain,
( ( ( ~ ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(142,plain,
! [SV1: $i] :
( ( ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(143,plain,
! [SV1: $i] :
( ( ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(144,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(145,plain,
! [SV1: $i] :
( ( ( ~ ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[126]) ).
thf(146,plain,
! [SV5: $i] :
( ( ( algorithm @ SV5 )
= $false )
| ( ( decides @ SV5 @ ( sK11_Y @ SV5 ) @ ( sK12_SY34 @ SV5 ) )
= $false )
| ( sK13_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(147,plain,
! [SV7: $i] :
( ( ( program @ SV7 )
= $false )
| ( ( ! [SY44: $i] : ( decides @ sK10_W @ SV7 @ SY44 ) )
= $true )
| ( sK13_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[129]) ).
thf(148,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[130]) ).
thf(149,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[131]) ).
thf(150,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(151,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(152,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(153,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(154,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[136]) ).
thf(155,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[137]) ).
thf(156,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(157,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(158,plain,
! [SV8: $i] :
( ( ( ~ ( halts2 @ SV8 @ SV8 )
| ~ ( program @ SV8 )
| ~ ( halts2 @ sK2_U @ SV8 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(159,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) )
| ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(160,plain,
! [SV1: $i] :
( ( ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(161,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(162,plain,
! [SV1: $i] :
( ( ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(163,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[143]) ).
thf(164,plain,
! [SV1: $i] :
( ( ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) )
| ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(165,plain,
! [SV1: $i] :
( ( ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) )
| ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(166,plain,
! [SV9: $i,SV7: $i] :
( ( ( decides @ sK10_W @ SV7 @ SV9 )
= $true )
| ( ( program @ SV7 )
= $false )
| ( sK13_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(167,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[148]) ).
thf(168,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(169,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(170,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(171,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(172,plain,
( ( ( ~ ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(173,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(174,plain,
( ( ( ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) ) )
= $false )
| ( sK7_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(175,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(176,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(177,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(178,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(179,plain,
! [SV8: $i] :
( ( ( ~ ( halts2 @ SV8 @ SV8 )
| ~ ( program @ SV8 ) )
= $true )
| ( ( ~ ( halts2 @ sK2_U @ SV8 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[158]) ).
thf(180,plain,
( ( ( ~ ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(181,plain,
( ( ( ~ ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) ) )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_or_neg,[status(thm)],[159]) ).
thf(182,plain,
! [SV1: $i] :
( ( ( ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[160]) ).
thf(183,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[161]) ).
thf(184,plain,
! [SV1: $i] :
( ( ( ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[162]) ).
thf(185,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(186,plain,
! [SV1: $i] :
( ( ( ~ ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(187,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(188,plain,
! [SV1: $i] :
( ( ( ~ ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(189,plain,
! [SV1: $i] :
( ( ( ~ ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) ) )
= $false )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(190,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(191,plain,
! [SV3: $i] :
( ( ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(192,plain,
! [SV3: $i] :
( ( ( ~ ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(193,plain,
! [SV3: $i] :
( ( ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[168]) ).
thf(194,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(195,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(196,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(197,plain,
( ( ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(198,plain,
( ( ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) )
| ( outputs @ sK5_V @ good ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(199,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK5_V @ SX0 ) ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(200,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK5_V @ bad ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[174]) ).
thf(201,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(202,plain,
! [SV4: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(203,plain,
! [SV4: $i] :
( ( ( ~ ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(204,plain,
! [SV4: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(205,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(206,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(207,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(208,plain,
! [SV8: $i] :
( ( ( ~ ( halts2 @ SV8 @ SV8 ) )
= $true )
| ( ( ~ ( program @ SV8 ) )
= $true )
| ( ( ~ ( halts2 @ sK2_U @ SV8 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[179]) ).
thf(209,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 )
| ( halts2 @ sK2_U @ SX0 ) ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[180]) ).
thf(210,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) )
| ( outputs @ sK2_U @ bad ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(211,plain,
! [SV1: $i,SV10: $i] :
( ( ( ! [SY45: $i] :
( ~ ( halts2 @ SV10 @ SY45 )
| ~ ( program @ SV10 )
| ( halts3 @ SV1 @ SV10 @ SY45 ) ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(212,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(213,plain,
! [SV1: $i,SV11: $i] :
( ( ( ! [SY46: $i] :
( ~ ( program @ SV11 )
| ( halts2 @ SV11 @ SY46 )
| ( halts3 @ SV1 @ SV11 @ SY46 ) ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(214,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[185]) ).
thf(215,plain,
! [SV1: $i] :
( ( ( ! [SY35: $i,SY36: $i] :
( ~ ( halts2 @ SY35 @ SY36 )
| ~ ( program @ SY35 )
| ( halts3 @ SV1 @ SY35 @ SY36 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[186]) ).
thf(216,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) )
| ( outputs @ SV1 @ good ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(217,plain,
! [SV1: $i] :
( ( ( ! [SY39: $i,SY40: $i] :
( ~ ( program @ SY39 )
| ( halts2 @ SY39 @ SY40 )
| ( halts3 @ SV1 @ SY39 @ SY40 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(218,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) )
| ( outputs @ SV1 @ bad ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(219,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(220,plain,
! [SV3: $i] :
( ( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(221,plain,
! [SV3: $i] :
( ( ( ~ ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(222,plain,
! [SV3: $i] :
( ( ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(223,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ( program @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(224,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[195]) ).
thf(225,plain,
! [SV3: $i] :
( ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(226,plain,
! [SV12: $i] :
( ( ( ~ ( halts2 @ SV12 @ SV12 )
| ~ ( program @ SV12 )
| ( halts2 @ sK5_V @ SV12 ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(227,plain,
( ( ( ! [SX0: $i] :
( ~ ( halts2 @ SX0 @ SX0 )
| ~ ( program @ SX0 ) ) )
= $true )
| ( ( outputs @ sK5_V @ good )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(228,plain,
! [SV13: $i] :
( ( ( ~ ( program @ SV13 )
| ( halts2 @ SV13 @ SV13 )
| ( halts2 @ sK5_V @ SV13 ) )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(229,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) ) )
= $true )
| ( ( outputs @ sK5_V @ bad )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(230,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[201]) ).
thf(231,plain,
! [SV4: $i] :
( ( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[202]) ).
thf(232,plain,
! [SV4: $i] :
( ( ( ~ ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[203]) ).
thf(233,plain,
! [SV4: $i] :
( ( ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[204]) ).
thf(234,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ( program @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(235,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(236,plain,
! [SV4: $i] :
( ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(237,plain,
! [SV8: $i] :
( ( ( halts2 @ SV8 @ SV8 )
= $false )
| ( ( ~ ( program @ SV8 ) )
= $true )
| ( ( ~ ( halts2 @ sK2_U @ SV8 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(238,plain,
! [SV14: $i] :
( ( ( ~ ( program @ SV14 )
| ( halts2 @ SV14 @ SV14 )
| ( halts2 @ sK2_U @ SV14 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(239,plain,
( ( ( ! [SX0: $i] :
( ~ ( program @ SX0 )
| ( halts2 @ SX0 @ SX0 ) ) )
= $true )
| ( ( outputs @ sK2_U @ bad )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(240,plain,
! [SV1: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( halts2 @ SV10 @ SV15 )
| ~ ( program @ SV10 )
| ( halts3 @ SV1 @ SV10 @ SV15 ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(241,plain,
! [SV1: $i,SV16: $i] :
( ( ( ! [SY47: $i] :
~ ( halts2 @ SV16 @ SY47 )
| ~ ( program @ SV16 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(242,plain,
! [SV1: $i,SV17: $i,SV11: $i] :
( ( ( ~ ( program @ SV11 )
| ( halts2 @ SV11 @ SV17 )
| ( halts3 @ SV1 @ SV11 @ SV17 ) )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(243,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( program @ SV18 )
| ! [SY48: $i] : ( halts2 @ SV18 @ SY48 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(244,plain,
! [SV1: $i,SV19: $i] :
( ( ( ! [SY49: $i] :
( ~ ( halts2 @ SV19 @ SY49 )
| ~ ( program @ SV19 )
| ( halts3 @ SV1 @ SV19 @ SY49 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(245,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ! [SX2: $i] :
~ ( halts2 @ SX1 @ SX2 )
| ~ ( program @ SX1 ) ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(246,plain,
! [SV1: $i,SV20: $i] :
( ( ( ! [SY50: $i] :
( ~ ( program @ SV20 )
| ( halts2 @ SV20 @ SY50 )
| ( halts3 @ SV1 @ SV20 @ SY50 ) ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(247,plain,
! [SV1: $i] :
( ( ( ! [SX1: $i] :
( ~ ( program @ SX1 )
| ! [SX2: $i] : ( halts2 @ SX1 @ SX2 ) ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(248,plain,
! [SV3: $i] :
( ( ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(249,plain,
! [SV3: $i] :
( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(250,plain,
! [SV3: $i] :
( ( ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
| ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(251,plain,
! [SV3: $i] :
( ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[222]) ).
thf(252,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[223]) ).
thf(253,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[224]) ).
thf(254,plain,
! [SV3: $i] :
( ( ( outputs @ SV3 @ good )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(255,plain,
! [SV12: $i] :
( ( ( ~ ( halts2 @ SV12 @ SV12 )
| ~ ( program @ SV12 ) )
= $true )
| ( ( halts2 @ sK5_V @ SV12 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[226]) ).
thf(256,plain,
! [SV21: $i] :
( ( ( ~ ( halts2 @ SV21 @ SV21 )
| ~ ( program @ SV21 ) )
= $true )
| ( ( outputs @ sK5_V @ good )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(257,plain,
! [SV13: $i] :
( ( ( ~ ( program @ SV13 )
| ( halts2 @ SV13 @ SV13 ) )
= $true )
| ( ( halts2 @ sK5_V @ SV13 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[228]) ).
thf(258,plain,
! [SV22: $i] :
( ( ( ~ ( program @ SV22 )
| ( halts2 @ SV22 @ SV22 ) )
= $true )
| ( ( outputs @ sK5_V @ bad )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(259,plain,
! [SV4: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[230]) ).
thf(260,plain,
! [SV4: $i] :
( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[231]) ).
thf(261,plain,
! [SV4: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
| ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(262,plain,
! [SV4: $i] :
( ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(263,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(264,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(265,plain,
! [SV4: $i] :
( ( ( outputs @ SV4 @ good )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
| ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(266,plain,
! [SV8: $i] :
( ( ( program @ SV8 )
= $false )
| ( ( halts2 @ SV8 @ SV8 )
= $false )
| ( ( ~ ( halts2 @ sK2_U @ SV8 ) )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(267,plain,
! [SV14: $i] :
( ( ( ~ ( program @ SV14 )
| ( halts2 @ SV14 @ SV14 ) )
= $true )
| ( ( halts2 @ sK2_U @ SV14 )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(268,plain,
! [SV23: $i] :
( ( ( ~ ( program @ SV23 )
| ( halts2 @ SV23 @ SV23 ) )
= $true )
| ( ( outputs @ sK2_U @ bad )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(269,plain,
! [SV1: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( halts2 @ SV10 @ SV15 )
| ~ ( program @ SV10 ) )
= $true )
| ( ( halts3 @ SV1 @ SV10 @ SV15 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(270,plain,
! [SV1: $i,SV16: $i] :
( ( ( ! [SY47: $i] :
~ ( halts2 @ SV16 @ SY47 ) )
= $true )
| ( ( ~ ( program @ SV16 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[241]) ).
thf(271,plain,
! [SV1: $i,SV17: $i,SV11: $i] :
( ( ( ~ ( program @ SV11 )
| ( halts2 @ SV11 @ SV17 ) )
= $true )
| ( ( halts3 @ SV1 @ SV11 @ SV17 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[242]) ).
thf(272,plain,
! [SV1: $i,SV18: $i] :
( ( ( ~ ( program @ SV18 ) )
= $true )
| ( ( ! [SY48: $i] : ( halts2 @ SV18 @ SY48 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(273,plain,
! [SV1: $i,SV24: $i,SV19: $i] :
( ( ( ~ ( halts2 @ SV19 @ SV24 )
| ~ ( program @ SV19 )
| ( halts3 @ SV1 @ SV19 @ SV24 ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(274,plain,
! [SV1: $i,SV25: $i] :
( ( ( ! [SY51: $i] :
~ ( halts2 @ SV25 @ SY51 )
| ~ ( program @ SV25 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(275,plain,
! [SV1: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( program @ SV20 )
| ( halts2 @ SV20 @ SV26 )
| ( halts3 @ SV1 @ SV20 @ SV26 ) )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(276,plain,
! [SV1: $i,SV27: $i] :
( ( ( ~ ( program @ SV27 )
| ! [SY52: $i] : ( halts2 @ SV27 @ SY52 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(277,plain,
! [SV3: $i] :
( ( ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(278,plain,
! [SV3: $i] :
( ( ( ~ ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[248]) ).
thf(279,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[249]) ).
thf(280,plain,
! [SV3: $i] :
( ( ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(281,plain,
! [SV3: $i] :
( ( ( ~ ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) ) )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(282,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[251]) ).
thf(283,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[252]) ).
thf(284,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[253]) ).
thf(285,plain,
! [SV3: $i] :
( ( ( ~ ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(286,plain,
! [SV12: $i] :
( ( ( ~ ( halts2 @ SV12 @ SV12 ) )
= $true )
| ( ( ~ ( program @ SV12 ) )
= $true )
| ( ( halts2 @ sK5_V @ SV12 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(287,plain,
! [SV21: $i] :
( ( ( ~ ( halts2 @ SV21 @ SV21 ) )
= $true )
| ( ( ~ ( program @ SV21 ) )
= $true )
| ( ( outputs @ sK5_V @ good )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(288,plain,
! [SV13: $i] :
( ( ( ~ ( program @ SV13 ) )
= $true )
| ( ( halts2 @ SV13 @ SV13 )
= $true )
| ( ( halts2 @ sK5_V @ SV13 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(289,plain,
! [SV22: $i] :
( ( ( ~ ( program @ SV22 ) )
= $true )
| ( ( halts2 @ SV22 @ SV22 )
= $true )
| ( ( outputs @ sK5_V @ bad )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[258]) ).
thf(290,plain,
! [SV4: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(291,plain,
! [SV4: $i] :
( ( ( ~ ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[259]) ).
thf(292,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(293,plain,
! [SV4: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(294,plain,
! [SV4: $i] :
( ( ( ~ ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) ) )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(295,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(296,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(297,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[264]) ).
thf(298,plain,
! [SV4: $i] :
( ( ( ~ ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(299,plain,
! [SV8: $i] :
( ( ( halts2 @ sK2_U @ SV8 )
= $false )
| ( ( halts2 @ SV8 @ SV8 )
= $false )
| ( ( program @ SV8 )
= $false )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(300,plain,
! [SV14: $i] :
( ( ( ~ ( program @ SV14 ) )
= $true )
| ( ( halts2 @ SV14 @ SV14 )
= $true )
| ( ( halts2 @ sK2_U @ SV14 )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[267]) ).
thf(301,plain,
! [SV23: $i] :
( ( ( ~ ( program @ SV23 ) )
= $true )
| ( ( halts2 @ SV23 @ SV23 )
= $true )
| ( ( outputs @ sK2_U @ bad )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_or_pos,[status(thm)],[268]) ).
thf(302,plain,
! [SV1: $i,SV15: $i,SV10: $i] :
( ( ( ~ ( halts2 @ SV10 @ SV15 ) )
= $true )
| ( ( ~ ( program @ SV10 ) )
= $true )
| ( ( halts3 @ SV1 @ SV10 @ SV15 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(303,plain,
! [SV1: $i,SV28: $i,SV16: $i] :
( ( ( ~ ( halts2 @ SV16 @ SV28 ) )
= $true )
| ( ( ~ ( program @ SV16 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(304,plain,
! [SV1: $i,SV17: $i,SV11: $i] :
( ( ( ~ ( program @ SV11 ) )
= $true )
| ( ( halts2 @ SV11 @ SV17 )
= $true )
| ( ( halts3 @ SV1 @ SV11 @ SV17 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(305,plain,
! [SV1: $i,SV18: $i] :
( ( ( program @ SV18 )
= $false )
| ( ( ! [SY48: $i] : ( halts2 @ SV18 @ SY48 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(306,plain,
! [SV1: $i,SV24: $i,SV19: $i] :
( ( ( ~ ( halts2 @ SV19 @ SV24 )
| ~ ( program @ SV19 ) )
= $true )
| ( ( halts3 @ SV1 @ SV19 @ SV24 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(307,plain,
! [SV1: $i,SV25: $i] :
( ( ( ! [SY51: $i] :
~ ( halts2 @ SV25 @ SY51 ) )
= $true )
| ( ( ~ ( program @ SV25 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(308,plain,
! [SV1: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( program @ SV20 )
| ( halts2 @ SV20 @ SV26 ) )
= $true )
| ( ( halts3 @ SV1 @ SV20 @ SV26 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(309,plain,
! [SV1: $i,SV27: $i] :
( ( ( ~ ( program @ SV27 ) )
= $true )
| ( ( ! [SY52: $i] : ( halts2 @ SV27 @ SY52 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(310,plain,
! [SV3: $i] :
( ( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(311,plain,
! [SV3: $i] :
( ( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(312,plain,
! [SV3: $i] :
( ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(313,plain,
! [SV3: $i] :
( ( ( ( program @ ( sK6_Y @ SV3 ) )
| ( program @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(314,plain,
! [SV3: $i] :
( ( ( ( program @ ( sK6_Y @ SV3 ) )
| ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(315,plain,
! [SV3: $i] :
( ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(316,plain,
! [SV3: $i] :
( ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(317,plain,
! [SV3: $i] :
( ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( outputs @ SV3 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(318,plain,
! [SV3: $i] :
( ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( outputs @ SV3 @ bad ) )
= $true )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(319,plain,
! [SV12: $i] :
( ( ( halts2 @ SV12 @ SV12 )
= $false )
| ( ( ~ ( program @ SV12 ) )
= $true )
| ( ( halts2 @ sK5_V @ SV12 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(320,plain,
! [SV21: $i] :
( ( ( halts2 @ SV21 @ SV21 )
= $false )
| ( ( ~ ( program @ SV21 ) )
= $true )
| ( ( outputs @ sK5_V @ good )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(321,plain,
! [SV13: $i] :
( ( ( program @ SV13 )
= $false )
| ( ( halts2 @ SV13 @ SV13 )
= $true )
| ( ( halts2 @ sK5_V @ SV13 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(322,plain,
! [SV22: $i] :
( ( ( program @ SV22 )
= $false )
| ( ( halts2 @ SV22 @ SV22 )
= $true )
| ( ( outputs @ sK5_V @ bad )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(323,plain,
! [SV4: $i] :
( ( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(324,plain,
! [SV4: $i] :
( ( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(325,plain,
! [SV4: $i] :
( ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(326,plain,
! [SV4: $i] :
( ( ( ( program @ ( sK3_Y @ SV4 ) )
| ( program @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(327,plain,
! [SV4: $i] :
( ( ( ( program @ ( sK3_Y @ SV4 ) )
| ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(328,plain,
! [SV4: $i] :
( ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(329,plain,
! [SV4: $i] :
( ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(330,plain,
! [SV4: $i] :
( ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( outputs @ SV4 @ good ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(331,plain,
! [SV4: $i] :
( ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( outputs @ SV4 @ bad ) )
= $true )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(332,plain,
! [SV14: $i] :
( ( ( program @ SV14 )
= $false )
| ( ( halts2 @ SV14 @ SV14 )
= $true )
| ( ( halts2 @ sK2_U @ SV14 )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(333,plain,
! [SV23: $i] :
( ( ( program @ SV23 )
= $false )
| ( ( halts2 @ SV23 @ SV23 )
= $true )
| ( ( outputs @ sK2_U @ bad )
= $true )
| ( sK4_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(334,plain,
! [SV1: $i,SV15: $i,SV10: $i] :
( ( ( halts2 @ SV10 @ SV15 )
= $false )
| ( ( ~ ( program @ SV10 ) )
= $true )
| ( ( halts3 @ SV1 @ SV10 @ SV15 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(335,plain,
! [SV1: $i,SV28: $i,SV16: $i] :
( ( ( halts2 @ SV16 @ SV28 )
= $false )
| ( ( ~ ( program @ SV16 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(336,plain,
! [SV1: $i,SV17: $i,SV11: $i] :
( ( ( program @ SV11 )
= $false )
| ( ( halts2 @ SV11 @ SV17 )
= $true )
| ( ( halts3 @ SV1 @ SV11 @ SV17 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(337,plain,
! [SV1: $i,SV29: $i,SV18: $i] :
( ( ( halts2 @ SV18 @ SV29 )
= $true )
| ( ( program @ SV18 )
= $false )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(338,plain,
! [SV1: $i,SV24: $i,SV19: $i] :
( ( ( ~ ( halts2 @ SV19 @ SV24 ) )
= $true )
| ( ( ~ ( program @ SV19 ) )
= $true )
| ( ( halts3 @ SV1 @ SV19 @ SV24 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(339,plain,
! [SV1: $i,SV30: $i,SV25: $i] :
( ( ( ~ ( halts2 @ SV25 @ SV30 ) )
= $true )
| ( ( ~ ( program @ SV25 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(340,plain,
! [SV1: $i,SV26: $i,SV20: $i] :
( ( ( ~ ( program @ SV20 ) )
= $true )
| ( ( halts2 @ SV20 @ SV26 )
= $true )
| ( ( halts3 @ SV1 @ SV20 @ SV26 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[308]) ).
thf(341,plain,
! [SV1: $i,SV27: $i] :
( ( ( program @ SV27 )
= $false )
| ( ( ! [SY52: $i] : ( halts2 @ SV27 @ SY52 ) )
= $true )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(342,plain,
! [SV3: $i] :
( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[310]) ).
thf(343,plain,
! [SV3: $i] :
( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(344,plain,
! [SV3: $i] :
( ( ( outputs @ SV3 @ bad )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(345,plain,
! [SV3: $i] :
( ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(346,plain,
! [SV3: $i] :
( ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(347,plain,
! [SV3: $i] :
( ( ( outputs @ SV3 @ bad )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(348,plain,
! [SV3: $i] :
( ( ( outputs @ SV3 @ good )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(349,plain,
! [SV3: $i] :
( ( ( outputs @ SV3 @ good )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( ~ ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(350,plain,
! [SV3: $i] :
( ( ( outputs @ SV3 @ bad )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(351,plain,
! [SV12: $i] :
( ( ( program @ SV12 )
= $false )
| ( ( halts2 @ SV12 @ SV12 )
= $false )
| ( ( halts2 @ sK5_V @ SV12 )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(352,plain,
! [SV21: $i] :
( ( ( program @ SV21 )
= $false )
| ( ( halts2 @ SV21 @ SV21 )
= $false )
| ( ( outputs @ sK5_V @ good )
= $true )
| ( sK7_REN = $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(353,plain,
! [SV4: $i] :
( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(354,plain,
! [SV4: $i] :
( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(355,plain,
! [SV4: $i] :
( ( ( outputs @ SV4 @ bad )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(356,plain,
! [SV4: $i] :
( ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(357,plain,
! [SV4: $i] :
( ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(358,plain,
! [SV4: $i] :
( ( ( outputs @ SV4 @ bad )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(359,plain,
! [SV4: $i] :
( ( ( outputs @ SV4 @ good )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(360,plain,
! [SV4: $i] :
( ( ( outputs @ SV4 @ good )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( ~ ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(361,plain,
! [SV4: $i] :
( ( ( outputs @ SV4 @ bad )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(362,plain,
! [SV1: $i,SV15: $i,SV10: $i] :
( ( ( program @ SV10 )
= $false )
| ( ( halts2 @ SV10 @ SV15 )
= $false )
| ( ( halts3 @ SV1 @ SV10 @ SV15 )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(363,plain,
! [SV1: $i,SV28: $i,SV16: $i] :
( ( ( program @ SV16 )
= $false )
| ( ( halts2 @ SV16 @ SV28 )
= $false )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( program @ ( sK8_Y @ SV1 ) )
= $true )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(364,plain,
! [SV1: $i,SV24: $i,SV19: $i] :
( ( ( halts2 @ SV19 @ SV24 )
= $false )
| ( ( ~ ( program @ SV19 ) )
= $true )
| ( ( halts3 @ SV1 @ SV19 @ SV24 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(365,plain,
! [SV1: $i,SV30: $i,SV25: $i] :
( ( ( halts2 @ SV25 @ SV30 )
= $false )
| ( ( ~ ( program @ SV25 ) )
= $true )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(366,plain,
! [SV1: $i,SV26: $i,SV20: $i] :
( ( ( program @ SV20 )
= $false )
| ( ( halts2 @ SV20 @ SV26 )
= $true )
| ( ( halts3 @ SV1 @ SV20 @ SV26 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(367,plain,
! [SV1: $i,SV31: $i,SV27: $i] :
( ( ( halts2 @ SV27 @ SV31 )
= $true )
| ( ( program @ SV27 )
= $false )
| ( ( outputs @ SV1 @ bad )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(368,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(369,plain,
! [SV3: $i] :
( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(370,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ bad )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[344]) ).
thf(371,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[345]) ).
thf(372,plain,
! [SV3: $i] :
( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(373,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ bad )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(374,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(375,plain,
! [SV3: $i] :
( ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( ( ~ ( program @ SV3 ) )
= $true )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(376,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( outputs @ SV3 @ bad )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(377,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[353]) ).
thf(378,plain,
! [SV4: $i] :
( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(379,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ bad )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(380,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(381,plain,
! [SV4: $i] :
( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(382,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ bad )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(383,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(384,plain,
! [SV4: $i] :
( ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( ( ~ ( program @ SV4 ) )
= $true )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(385,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( outputs @ SV4 @ bad )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(386,plain,
! [SV1: $i,SV24: $i,SV19: $i] :
( ( ( program @ SV19 )
= $false )
| ( ( halts2 @ SV19 @ SV24 )
= $false )
| ( ( halts3 @ SV1 @ SV19 @ SV24 )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(387,plain,
! [SV1: $i,SV30: $i,SV25: $i] :
( ( ( program @ SV25 )
= $false )
| ( ( halts2 @ SV25 @ SV30 )
= $false )
| ( ( outputs @ SV1 @ good )
= $true )
| ( ( decides @ SV1 @ ( sK8_Y @ SV1 ) @ ( sK9_SY31 @ SV1 ) )
= $false )
| ( ( program @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(388,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(389,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( program @ ( sK6_Y @ SV3 ) )
= $true )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(390,plain,
! [SV3: $i] :
( ( ( program @ SV3 )
= $false )
| ( ( outputs @ SV3 @ good )
= $false )
| ( ( halts3 @ SV3 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( ( halts2 @ ( sK6_Y @ SV3 ) @ ( sK6_Y @ SV3 ) )
= $false )
| ( sK7_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[375]) ).
thf(391,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(392,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( program @ ( sK3_Y @ SV4 ) )
= $true )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(393,plain,
! [SV4: $i] :
( ( ( program @ SV4 )
= $false )
| ( ( outputs @ SV4 @ good )
= $false )
| ( ( halts2 @ SV4 @ ( sK3_Y @ SV4 ) )
= $false )
| ( ( halts2 @ ( sK3_Y @ SV4 ) @ ( sK3_Y @ SV4 ) )
= $false )
| ( sK4_REN = $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(394,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[50,393,392,391,390,389,388,387,386,385,383,382,380,379,377,376,374,373,371,370,368,367,366,363,362,352,351,337,336,333,332,322,321,299,166,146,127,102,96,92,88]) ).
thf(395,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 18:36:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 4
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.36 (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full)......................
% 0.47/0.64
% 0.47/0.64 ********************************
% 0.47/0.64 * All subproblems solved! *
% 0.47/0.64 ********************************
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:394,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.54/0.73
% 0.54/0.73 %**** Beginning of derivation protocol ****
% 0.54/0.73 % SZS output start CNFRefutation
% See solution above
% 0.54/0.73
% 0.54/0.73 %**** End of derivation protocol ****
% 0.54/0.73 %**** no. of clauses in derivation: 395 ****
% 0.54/0.73 %**** clause counter: 394 ****
% 0.54/0.73
% 0.54/0.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:394,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------