TSTP Solution File: COM003+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YyffbzAg0V true
% Computer : n005.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 : 300s
% DateTime : Wed Aug 30 18:49:02 EDT 2023
% Result : Theorem 1.38s 1.18s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 90
% Syntax : Number of formulae : 242 ( 7 unt; 60 typ; 0 def)
% Number of atoms : 558 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1553 ( 266 ~; 255 |; 64 &; 911 @)
% ( 0 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 96 ( 96 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 39 usr; 7 con; 0-3 aty)
% Number of variables : 342 ( 0 ^; 328 !; 14 ?; 342 :)
% Comments :
%------------------------------------------------------------------------------
thf(algorithm_type,type,
algorithm: $i > $o ).
thf(zip_tseitin_16_type,type,
zip_tseitin_16: $i > $o ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $i > $o ).
thf(zip_tseitin_9_type,type,
zip_tseitin_9: $i > $i > $o ).
thf(halts3_type,type,
halts3: $i > $i > $i > $o ).
thf(decides_type,type,
decides: $i > $i > $i > $o ).
thf(zip_tseitin_14_type,type,
zip_tseitin_14: $i > $o ).
thf(good_type,type,
good: $i ).
thf(zip_tseitin_7_type,type,
zip_tseitin_7: $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(program_type,type,
program: $i > $o ).
thf(zip_tseitin_6_type,type,
zip_tseitin_6: $i > $o ).
thf(halts2_type,type,
halts2: $i > $i > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(zip_tseitin_11_type,type,
zip_tseitin_11: $i > $i > $o ).
thf(zip_tseitin_17_type,type,
zip_tseitin_17: $i > $i > $o ).
thf(sk__8_type,type,
sk__8: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(zip_tseitin_13_type,type,
zip_tseitin_13: $i > $o ).
thf(zip_tseitin_5_type,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zip_tseitin_15_type,type,
zip_tseitin_15: $i > $i > $o ).
thf(sk__6_type,type,
sk__6: $i > $i ).
thf(zip_tseitin_19_type,type,
zip_tseitin_19: $i > $i > $o ).
thf(outputs_type,type,
outputs: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(bad_type,type,
bad: $i ).
thf(zip_tseitin_18_type,type,
zip_tseitin_18: $i > $i > $o ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $o ).
thf(zip_tseitin_12_type,type,
zip_tseitin_12: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(zip_tseitin_8_type,type,
zip_tseitin_8: $i > $o ).
thf(zip_tseitin_20_type,type,
zip_tseitin_20: $i > $o ).
thf(zip_tseitin_4_type,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(zip_tseitin_10_type,type,
zip_tseitin_10: $i > $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i > $i ).
thf(p3,axiom,
( ? [W: $i] :
( ( program @ W )
& ! [Y: $i] :
( ( ( ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ W @ good )
& ( halts3 @ W @ Y @ Y ) ) )
& ( ( ~ ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ W @ bad )
& ( halts3 @ W @ Y @ Y ) ) ) ) )
=> ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ V @ good )
& ( halts2 @ V @ Y ) ) )
& ( ( ~ ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ V @ bad )
& ( halts2 @ V @ Y ) ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [Y: $i] :
( ( zip_tseitin_6 @ Y )
=> ( ( program @ Y )
& ( halts2 @ Y @ Y ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p1,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 ) ) ) ) ).
thf(zf_stmt_1,axiom,
! [W: $i] :
( ( zip_tseitin_1 @ W )
=> ( ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) )
& ( program @ W ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( program @ X0 )
| ( decides @ X1 @ X0 @ X2 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(p2,axiom,
! [W: $i] :
( ( ! [Y: $i] :
( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) )
& ( program @ W ) )
=> ! [Y: $i,Z: $i] :
( ( ( ( halts2 @ Y @ Z )
& ( program @ Y ) )
=> ( ( outputs @ W @ good )
& ( halts3 @ W @ Y @ Z ) ) )
& ( ( ~ ( halts2 @ Y @ Z )
& ( program @ Y ) )
=> ( ( outputs @ W @ bad )
& ( halts3 @ W @ Y @ Z ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [Y: $i,W: $i] :
( ( ( program @ Y )
=> ! [Z: $i] : ( decides @ W @ Y @ Z ) )
=> ( zip_tseitin_2 @ Y @ W ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( decides @ X1 @ X0 @ ( sk__3 @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl83,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ~ ( program @ X0 )
| ( zip_tseitin_2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ( program @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl93,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl6]) ).
thf(zf_stmt_3,type,
zip_tseitin_5: $i > $i > $i > $o ).
thf(zf_stmt_4,axiom,
! [Z: $i,Y: $i,W: $i] :
( ( zip_tseitin_5 @ Z @ Y @ W )
=> ( ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Z ) )
=> ( zip_tseitin_4 @ Z @ Y @ W ) )
& ( ( ( program @ Y )
& ( halts2 @ Y @ Z ) )
=> ( zip_tseitin_3 @ Z @ Y @ W ) ) ) ) ).
thf(zf_stmt_5,type,
zip_tseitin_4: $i > $i > $i > $o ).
thf(zf_stmt_6,axiom,
! [Z: $i,Y: $i,W: $i] :
( ( zip_tseitin_4 @ Z @ Y @ W )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ bad ) ) ) ).
thf(zf_stmt_7,type,
zip_tseitin_3: $i > $i > $i > $o ).
thf(zf_stmt_8,axiom,
! [Z: $i,Y: $i,W: $i] :
( ( zip_tseitin_3 @ Z @ Y @ W )
=> ( ( halts3 @ W @ Y @ Z )
& ( outputs @ W @ good ) ) ) ).
thf(zf_stmt_9,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_10,axiom,
! [W: $i] :
( ( ( program @ W )
& ! [Y: $i] : ( zip_tseitin_2 @ Y @ W ) )
=> ! [Y: $i,Z: $i] : ( zip_tseitin_5 @ Z @ Y @ W ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_2 @ ( sk__4 @ X2 ) @ X2 )
| ~ ( program @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_10]) ).
thf(zip_derived_cl117,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( program @ X0 )
| ( zip_tseitin_5 @ X2 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl13]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl351,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( program @ X0 )
| ~ ( halts2 @ X0 @ X1 )
| ( zip_tseitin_3 @ X1 @ X0 @ X2 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl353,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_3 @ X2 @ X1 @ X0 )
| ~ ( halts2 @ X1 @ X2 )
| ~ ( program @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl12]) ).
thf(zip_derived_cl439,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X0 )
| ~ ( program @ X0 )
| ( zip_tseitin_3 @ X0 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl353]) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1876,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_3 @ X0 @ X0 @ X1 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl439,zip_derived_cl14]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( halts3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl1877,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X1 )
| ~ ( zip_tseitin_1 @ X0 )
| ( halts3 @ X0 @ X1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl7]) ).
thf(zip_derived_cl1876_001,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_3 @ X0 @ X0 @ X1 )
| ~ ( zip_tseitin_6 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl439,zip_derived_cl14]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outputs @ X0 @ good )
| ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl1878,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_6 @ X1 )
| ~ ( zip_tseitin_1 @ X0 )
| ( outputs @ X0 @ good ) ),
inference('sup-',[status(thm)],[zip_derived_cl1876,zip_derived_cl8]) ).
thf(zf_stmt_11,axiom,
! [Y: $i,W: $i] :
( ( ( zip_tseitin_6 @ Y )
=> ( ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ good ) ) )
=> ( zip_tseitin_7 @ Y @ W ) ) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl351_002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( zip_tseitin_5 @ X2 @ X1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( program @ X0 )
| ( halts2 @ X0 @ X1 )
| ( zip_tseitin_4 @ X1 @ X0 @ X2 )
| ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl352,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_4 @ X2 @ X1 @ X0 )
| ( halts2 @ X1 @ X2 )
| ~ ( program @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl11]) ).
thf(zf_stmt_12,axiom,
! [Y: $i] :
( ( zip_tseitin_8 @ Y )
=> ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl360,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X0 )
| ( zip_tseitin_4 @ X0 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl19]) ).
thf(zip_derived_cl18,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl1790,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_4 @ X0 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl18]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( halts3 @ X0 @ X1 @ X2 )
| ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl1791,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_8 @ X1 )
| ( halts3 @ X0 @ X1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1790,zip_derived_cl9]) ).
thf(zip_derived_cl352_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ( zip_tseitin_4 @ X2 @ X1 @ X0 )
| ( halts2 @ X1 @ X2 )
| ~ ( program @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl11]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( outputs @ X0 @ bad )
| ~ ( zip_tseitin_4 @ X1 @ X2 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_6]) ).
thf(zip_derived_cl355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( program @ X1 )
| ( halts2 @ X1 @ X2 )
| ~ ( zip_tseitin_1 @ X0 )
| ( outputs @ X0 @ bad ) ),
inference('sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl10]) ).
thf(zip_derived_cl19_004,plain,
! [X0: $i] :
( ~ ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl379,plain,
! [X0: $i,X1: $i] :
( ( outputs @ X1 @ bad )
| ~ ( zip_tseitin_1 @ X1 )
| ~ ( program @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl355,zip_derived_cl19]) ).
thf(zip_derived_cl18_005,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_12]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_1 @ X1 )
| ( outputs @ X1 @ bad ) ),
inference(clc,[status(thm)],[zip_derived_cl379,zip_derived_cl18]) ).
thf(zf_stmt_13,axiom,
! [Y: $i,W: $i] :
( ( ( zip_tseitin_8 @ Y )
=> ( ( halts3 @ W @ Y @ Y )
& ( outputs @ W @ bad ) ) )
=> ( zip_tseitin_9 @ Y @ W ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( halts3 @ X1 @ X0 @ X0 )
| ~ ( outputs @ X1 @ bad ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl420,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_8 @ X2 )
| ~ ( halts3 @ X0 @ X1 @ X1 )
| ( zip_tseitin_9 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl20]) ).
thf(zip_derived_cl1793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ~ ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( zip_tseitin_8 @ X2 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1791,zip_derived_cl420]) ).
thf(zip_derived_cl1797,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( zip_tseitin_8 @ X2 )
| ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 )
| ~ ( zip_tseitin_8 @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1793]) ).
thf(zip_derived_cl1843,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_8 @ X0 )
| ( zip_tseitin_9 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1797]) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_9 @ X0 @ X1 )
| ( zip_tseitin_8 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_13]) ).
thf(zip_derived_cl1844,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_9 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1843,zip_derived_cl21]) ).
thf(zf_stmt_14,type,
zip_tseitin_13: $i > $o ).
thf(zf_stmt_15,axiom,
! [V: $i] :
( ( zip_tseitin_13 @ V )
=> ( ! [Y: $i] : ( zip_tseitin_12 @ Y @ V )
& ( program @ V ) ) ) ).
thf(zf_stmt_16,type,
zip_tseitin_12: $i > $i > $o ).
thf(zf_stmt_17,axiom,
! [Y: $i,V: $i] :
( ( zip_tseitin_12 @ Y @ V )
=> ( ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( zip_tseitin_11 @ Y @ V ) )
& ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ( zip_tseitin_10 @ Y @ V ) ) ) ) ).
thf(zf_stmt_18,type,
zip_tseitin_11: $i > $i > $o ).
thf(zf_stmt_19,axiom,
! [Y: $i,V: $i] :
( ( zip_tseitin_11 @ Y @ V )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) ) ).
thf(zf_stmt_20,type,
zip_tseitin_10: $i > $i > $o ).
thf(zf_stmt_21,axiom,
! [Y: $i,V: $i] :
( ( zip_tseitin_10 @ Y @ V )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ good ) ) ) ).
thf(zf_stmt_22,type,
zip_tseitin_9: $i > $i > $o ).
thf(zf_stmt_23,type,
zip_tseitin_8: $i > $o ).
thf(zf_stmt_24,type,
zip_tseitin_7: $i > $i > $o ).
thf(zf_stmt_25,type,
zip_tseitin_6: $i > $o ).
thf(zf_stmt_26,axiom,
( ? [W: $i] :
( ! [Y: $i] :
( ( zip_tseitin_9 @ Y @ W )
& ( zip_tseitin_7 @ Y @ W ) )
& ( program @ W ) )
=> ? [V: $i] : ( zip_tseitin_13 @ V ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i] :
( ( zip_tseitin_13 @ sk__5 )
| ~ ( program @ X0 )
| ~ ( zip_tseitin_9 @ ( sk__6 @ X0 ) @ X0 )
| ~ ( zip_tseitin_7 @ ( sk__6 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_26]) ).
thf(zip_derived_cl1845,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_7 @ ( sk__6 @ X0 ) @ X0 )
| ~ ( program @ X0 )
| ( zip_tseitin_13 @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1844,zip_derived_cl30]) ).
thf(zip_derived_cl3_006,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl1846,plain,
! [X0: $i] :
( ( zip_tseitin_13 @ sk__5 )
| ~ ( zip_tseitin_7 @ ( sk__6 @ X0 ) @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1845,zip_derived_cl3]) ).
thf(zip_derived_cl28,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_12 @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X0 )
| ( halts2 @ X0 @ X0 )
| ( zip_tseitin_11 @ X0 @ X1 )
| ~ ( zip_tseitin_12 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl137,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ( zip_tseitin_11 @ X1 @ X0 )
| ( halts2 @ X1 @ X1 )
| ~ ( program @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( halts2 @ X0 @ X1 )
| ~ ( zip_tseitin_11 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl566,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X1 )
| ( halts2 @ X1 @ X1 )
| ~ ( zip_tseitin_13 @ X0 )
| ( halts2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl24]) ).
thf(p4,axiom,
( ? [V: $i] :
( ( program @ V )
& ! [Y: $i] :
( ( ( ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ V @ good )
& ( halts2 @ V @ Y ) ) )
& ( ( ~ ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ V @ bad )
& ( halts2 @ V @ Y ) ) ) ) )
=> ? [U: $i] :
( ( program @ U )
& ! [Y: $i] :
( ( ( ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ~ ( halts2 @ U @ Y ) )
& ( ( ~ ( halts2 @ Y @ Y )
& ( program @ Y ) )
=> ( ( outputs @ U @ bad )
& ( halts2 @ U @ Y ) ) ) ) ) ) ).
thf(zf_stmt_27,axiom,
! [Y: $i] :
( ( zip_tseitin_16 @ Y )
=> ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i] :
( ~ ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl741,plain,
! [X0: $i,X1: $i] :
( ( halts2 @ X1 @ X0 )
| ~ ( zip_tseitin_13 @ X1 )
| ~ ( program @ X0 )
| ~ ( zip_tseitin_16 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl566,zip_derived_cl36]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1123,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_16 @ X0 )
| ~ ( zip_tseitin_13 @ X1 )
| ( halts2 @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl741,zip_derived_cl35]) ).
thf(zip_derived_cl137_007,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ( zip_tseitin_11 @ X1 @ X0 )
| ( halts2 @ X1 @ X1 )
| ~ ( program @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( outputs @ X0 @ bad )
| ~ ( zip_tseitin_11 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_19]) ).
thf(zip_derived_cl567,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X1 )
| ( halts2 @ X1 @ X1 )
| ~ ( zip_tseitin_13 @ X0 )
| ( outputs @ X0 @ bad ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl25]) ).
thf(zip_derived_cl36_008,plain,
! [X0: $i] :
( ~ ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl861,plain,
! [X0: $i,X1: $i] :
( ( outputs @ X1 @ bad )
| ~ ( zip_tseitin_13 @ X1 )
| ~ ( program @ X0 )
| ~ ( zip_tseitin_16 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl567,zip_derived_cl36]) ).
thf(zip_derived_cl35_009,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_27]) ).
thf(zip_derived_cl1460,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_16 @ X0 )
| ~ ( zip_tseitin_13 @ X1 )
| ( outputs @ X1 @ bad ) ),
inference(clc,[status(thm)],[zip_derived_cl861,zip_derived_cl35]) ).
thf(zip_derived_cl28_010,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_12 @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zf_stmt_28,axiom,
! [Y: $i] :
( ( zip_tseitin_14 @ Y )
=> ( ( program @ Y )
& ( halts2 @ Y @ Y ) ) ) ).
thf(zip_derived_cl32,plain,
! [X0: $i] :
( ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_14 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X0 )
| ~ ( halts2 @ X0 @ X0 )
| ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( zip_tseitin_12 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl114,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_14 @ X0 )
| ~ ( zip_tseitin_12 @ X0 @ X1 )
| ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( program @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl27]) ).
thf(zip_derived_cl31,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_14 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_28]) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( zip_tseitin_12 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl114,zip_derived_cl31]) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( zip_tseitin_14 @ X1 )
| ( zip_tseitin_10 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl152]) ).
thf(zip_derived_cl22,plain,
! [X0: $i,X1: $i] :
( ( halts2 @ X0 @ X1 )
| ~ ( zip_tseitin_10 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl245,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_14 @ X1 )
| ~ ( zip_tseitin_13 @ X0 )
| ( halts2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl22]) ).
thf(zip_derived_cl28_011,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_12 @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl566_012,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X1 )
| ( halts2 @ X1 @ X1 )
| ~ ( zip_tseitin_13 @ X0 )
| ( halts2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl24]) ).
thf(zip_derived_cl773,plain,
! [X0: $i] :
( ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_13 @ X0 )
| ~ ( program @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl566]) ).
thf(zip_derived_cl29,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl785,plain,
! [X0: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ( halts2 @ X0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl773,zip_derived_cl29]) ).
thf(zip_derived_cl27_013,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X0 )
| ~ ( halts2 @ X0 @ X0 )
| ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( zip_tseitin_12 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_17]) ).
thf(zip_derived_cl795,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( zip_tseitin_12 @ X0 @ X1 )
| ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( program @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl785,zip_derived_cl27]) ).
thf(zip_derived_cl29_014,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl1035,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_10 @ X0 @ X1 )
| ~ ( zip_tseitin_12 @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl795,zip_derived_cl29]) ).
thf(zip_derived_cl1036,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( zip_tseitin_13 @ X1 )
| ( zip_tseitin_10 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl1035]) ).
thf(zip_derived_cl1202,plain,
! [X0: $i] :
( ( zip_tseitin_10 @ X0 @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl1036]) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i] :
( ( outputs @ X0 @ good )
| ~ ( zip_tseitin_10 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_21]) ).
thf(zip_derived_cl1205,plain,
! [X0: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ( outputs @ X0 @ good ) ),
inference('sup-',[status(thm)],[zip_derived_cl1202,zip_derived_cl23]) ).
thf(zf_stmt_29,axiom,
! [Y: $i,V: $i] :
( ( ( zip_tseitin_14 @ Y )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ good ) ) )
=> ( zip_tseitin_15 @ Y @ V ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( halts2 @ X1 @ X0 )
| ~ ( outputs @ X1 @ good ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl1207,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( halts2 @ X0 @ X1 )
| ( zip_tseitin_15 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1205,zip_derived_cl33]) ).
thf(zip_derived_cl1211,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X1 )
| ~ ( zip_tseitin_14 @ X0 )
| ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl245,zip_derived_cl1207]) ).
thf(zip_derived_cl1226,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ~ ( zip_tseitin_14 @ X0 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1211]) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_15 @ X0 @ X1 )
| ( zip_tseitin_14 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_29]) ).
thf(zip_derived_cl1297,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X1 )
| ( zip_tseitin_15 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1226,zip_derived_cl34]) ).
thf(zf_stmt_30,axiom,
! [Y: $i,V: $i] :
( ( ( zip_tseitin_16 @ Y )
=> ( ( halts2 @ V @ Y )
& ( outputs @ V @ bad ) ) )
=> ( zip_tseitin_17 @ Y @ V ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ( zip_tseitin_16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zf_stmt_31,type,
zip_tseitin_20: $i > $o ).
thf(zf_stmt_32,axiom,
! [U: $i] :
( ( zip_tseitin_20 @ U )
=> ( ! [Y: $i] : ( zip_tseitin_19 @ Y @ U )
& ( program @ U ) ) ) ).
thf(zf_stmt_33,type,
zip_tseitin_19: $i > $i > $o ).
thf(zf_stmt_34,axiom,
! [Y: $i,U: $i] :
( ( zip_tseitin_19 @ Y @ U )
=> ( ( ( ( program @ Y )
& ~ ( halts2 @ Y @ Y ) )
=> ( zip_tseitin_18 @ Y @ U ) )
& ( ( ( program @ Y )
& ( halts2 @ Y @ Y ) )
=> ~ ( halts2 @ U @ Y ) ) ) ) ).
thf(zf_stmt_35,type,
zip_tseitin_18: $i > $i > $o ).
thf(zf_stmt_36,axiom,
! [Y: $i,U: $i] :
( ( zip_tseitin_18 @ Y @ U )
=> ( ( halts2 @ U @ Y )
& ( outputs @ U @ bad ) ) ) ).
thf(zf_stmt_37,type,
zip_tseitin_17: $i > $i > $o ).
thf(zf_stmt_38,type,
zip_tseitin_16: $i > $o ).
thf(zf_stmt_39,type,
zip_tseitin_15: $i > $i > $o ).
thf(zf_stmt_40,type,
zip_tseitin_14: $i > $o ).
thf(zf_stmt_41,axiom,
( ? [V: $i] :
( ! [Y: $i] :
( ( zip_tseitin_17 @ Y @ V )
& ( zip_tseitin_15 @ Y @ V ) )
& ( program @ V ) )
=> ? [U: $i] : ( zip_tseitin_20 @ U ) ) ).
thf(zip_derived_cl45,plain,
! [X0: $i] :
( ( zip_tseitin_20 @ sk__7 )
| ~ ( program @ X0 )
| ~ ( zip_tseitin_17 @ ( sk__8 @ X0 ) @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_41]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_19 @ X0 @ X1 )
| ~ ( zip_tseitin_20 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl41,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X0 )
| ( halts2 @ X0 @ X0 )
| ( zip_tseitin_18 @ X0 @ X1 )
| ~ ( zip_tseitin_19 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl138,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_20 @ X0 )
| ( zip_tseitin_18 @ X1 @ X0 )
| ( halts2 @ X1 @ X1 )
| ~ ( program @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl41]) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( halts2 @ X0 @ X1 )
| ~ ( zip_tseitin_18 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_36]) ).
thf(zip_derived_cl661,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X1 )
| ( halts2 @ X1 @ X1 )
| ~ ( zip_tseitin_20 @ X0 )
| ( halts2 @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl39]) ).
thf(zip_derived_cl993,plain,
! [X0: $i] :
( ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_20 @ X0 )
| ~ ( program @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl661]) ).
thf(zip_derived_cl43_015,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_19 @ X0 @ X1 )
| ~ ( zip_tseitin_20 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i] :
( ~ ( program @ X0 )
| ~ ( halts2 @ X0 @ X0 )
| ~ ( halts2 @ X1 @ X0 )
| ~ ( zip_tseitin_19 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_34]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
( ~ ( zip_tseitin_19 @ X0 @ X0 )
| ~ ( halts2 @ X0 @ X0 )
| ~ ( program @ X0 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] :
( ~ ( zip_tseitin_20 @ X0 )
| ~ ( program @ X0 )
| ~ ( halts2 @ X0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl101]) ).
thf(zip_derived_cl44,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_20 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl105,plain,
! [X0: $i] :
( ~ ( halts2 @ X0 @ X0 )
| ~ ( zip_tseitin_20 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl104,zip_derived_cl44]) ).
thf(zip_derived_cl1003,plain,
! [X0: $i] :
( ~ ( program @ X0 )
| ~ ( zip_tseitin_20 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl993,zip_derived_cl105]) ).
thf(zip_derived_cl44_016,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_20 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_32]) ).
thf(zip_derived_cl1004,plain,
! [X0: $i] :
~ ( zip_tseitin_20 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl1003,zip_derived_cl44]) ).
thf(zip_derived_cl1005,plain,
! [X0: $i] :
( ~ ( program @ X0 )
| ~ ( zip_tseitin_17 @ ( sk__8 @ X0 ) @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl1004]) ).
thf(zip_derived_cl1034,plain,
! [X0: $i] :
( ( zip_tseitin_16 @ ( sk__8 @ X0 ) )
| ~ ( zip_tseitin_15 @ ( sk__8 @ X0 ) @ X0 )
| ~ ( program @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl1005]) ).
thf(zip_derived_cl1298,plain,
! [X0: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( program @ X0 )
| ( zip_tseitin_16 @ ( sk__8 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1297,zip_derived_cl1034]) ).
thf(zip_derived_cl29_017,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl1301,plain,
! [X0: $i] :
( ( zip_tseitin_16 @ ( sk__8 @ X0 ) )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1298,zip_derived_cl29]) ).
thf(zip_derived_cl1462,plain,
! [X0: $i,X1: $i] :
( ( outputs @ X1 @ bad )
| ~ ( zip_tseitin_13 @ X1 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1460,zip_derived_cl1301]) ).
thf(zip_derived_cl1497,plain,
! [X0: $i] :
( ( outputs @ X0 @ bad )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1462]) ).
thf(zip_derived_cl37,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( halts2 @ X1 @ X0 )
| ~ ( outputs @ X1 @ bad ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1499,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( halts2 @ X0 @ X1 )
| ( zip_tseitin_17 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1497,zip_derived_cl37]) ).
thf(zip_derived_cl1510,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X1 )
| ~ ( zip_tseitin_16 @ X0 )
| ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1123,zip_derived_cl1499]) ).
thf(zip_derived_cl1523,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ~ ( zip_tseitin_16 @ X0 )
| ~ ( zip_tseitin_13 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1510]) ).
thf(zip_derived_cl38_018,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_17 @ X0 @ X1 )
| ( zip_tseitin_16 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_30]) ).
thf(zip_derived_cl1551,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X1 )
| ( zip_tseitin_17 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1523,zip_derived_cl38]) ).
thf(zip_derived_cl1005_019,plain,
! [X0: $i] :
( ~ ( program @ X0 )
| ~ ( zip_tseitin_17 @ ( sk__8 @ X0 ) @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__8 @ X0 ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl1004]) ).
thf(zip_derived_cl1552,plain,
! [X0: $i] :
( ~ ( zip_tseitin_13 @ X0 )
| ~ ( zip_tseitin_15 @ ( sk__8 @ X0 ) @ X0 )
| ~ ( program @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1551,zip_derived_cl1005]) ).
thf(zip_derived_cl1297_020,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_13 @ X1 )
| ( zip_tseitin_15 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1226,zip_derived_cl34]) ).
thf(zip_derived_cl1585,plain,
! [X0: $i] :
( ~ ( program @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1552,zip_derived_cl1297]) ).
thf(zip_derived_cl29_021,plain,
! [X0: $i] :
( ( program @ X0 )
| ~ ( zip_tseitin_13 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_15]) ).
thf(zip_derived_cl1586,plain,
! [X0: $i] :
~ ( zip_tseitin_13 @ X0 ),
inference(clc,[status(thm)],[zip_derived_cl1585,zip_derived_cl29]) ).
thf(zip_derived_cl1847,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_7 @ ( sk__6 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1846,zip_derived_cl1586]) ).
thf(zip_derived_cl1848,plain,
! [X0: $i] :
( ( zip_tseitin_6 @ ( sk__6 @ X0 ) )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1847]) ).
thf(zip_derived_cl1881,plain,
! [X0: $i,X1: $i] :
( ( outputs @ X1 @ good )
| ~ ( zip_tseitin_1 @ X1 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1878,zip_derived_cl1848]) ).
thf(zip_derived_cl1894,plain,
! [X0: $i] :
( ( outputs @ X0 @ good )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference(condensation,[status(thm)],[zip_derived_cl1881]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( halts3 @ X1 @ X0 @ X0 )
| ~ ( outputs @ X1 @ good ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1895,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( halts3 @ X0 @ X1 @ X1 )
| ( zip_tseitin_7 @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1894,zip_derived_cl16]) ).
thf(zip_derived_cl1935,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ~ ( zip_tseitin_6 @ X0 )
| ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1877,zip_derived_cl1895]) ).
thf(zip_derived_cl1945,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ~ ( zip_tseitin_6 @ X0 )
| ~ ( zip_tseitin_1 @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1935]) ).
thf(zip_derived_cl17_022,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_7 @ X0 @ X1 )
| ( zip_tseitin_6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_11]) ).
thf(zip_derived_cl1946,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_1 @ X1 )
| ( zip_tseitin_7 @ X0 @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl1945,zip_derived_cl17]) ).
thf(zip_derived_cl1847_023,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_7 @ ( sk__6 @ X0 ) @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl1846,zip_derived_cl1586]) ).
thf(zip_derived_cl1948,plain,
! [X0: $i] :
( ~ ( zip_tseitin_1 @ X0 )
| ~ ( zip_tseitin_1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1946,zip_derived_cl1847]) ).
thf(zip_derived_cl1949,plain,
! [X0: $i] :
~ ( zip_tseitin_1 @ X0 ),
inference(simplify,[status(thm)],[zip_derived_cl1948]) ).
thf(prove_this,conjecture,
~ ? [X1: $i] :
( ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) )
& ( algorithm @ X1 ) ) ).
thf(zf_stmt_42,negated_conjecture,
? [X1: $i] :
( ! [Y1: $i] :
( ( program @ Y1 )
=> ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) )
& ( algorithm @ X1 ) ),
inference('cnf.neg',[status(esa)],[prove_this]) ).
thf(zip_derived_cl47,plain,
! [X0: $i,X1: $i] :
( ( decides @ sk__9 @ X0 @ X1 )
| ~ ( program @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf(zf_stmt_43,axiom,
! [Y: $i,X: $i] :
( ( ( program @ Y )
=> ! [Z: $i] : ( decides @ X @ Y @ Z ) )
=> ( zip_tseitin_0 @ Y @ X ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ~ ( decides @ X1 @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl52,plain,
! [X0: $i] :
( ~ ( program @ X0 )
| ( zip_tseitin_0 @ X0 @ sk__9 ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 @ X1 )
| ( program @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_43]) ).
thf(zip_derived_cl53,plain,
! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__9 ),
inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl1]) ).
thf(zf_stmt_44,type,
zip_tseitin_1: $i > $o ).
thf(zf_stmt_45,type,
zip_tseitin_0: $i > $i > $o ).
thf(zf_stmt_46,axiom,
( ? [X: $i] :
( ! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
& ( algorithm @ X ) )
=> ? [W: $i] : ( zip_tseitin_1 @ W ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ sk__1 )
| ~ ( algorithm @ X0 )
| ~ ( zip_tseitin_0 @ ( sk__2 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_46]) ).
thf(zip_derived_cl77,plain,
( ~ ( algorithm @ sk__9 )
| ( zip_tseitin_1 @ sk__1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl4]) ).
thf(zip_derived_cl46,plain,
algorithm @ sk__9,
inference(cnf,[status(esa)],[zf_stmt_42]) ).
thf(zip_derived_cl78,plain,
zip_tseitin_1 @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl46]) ).
thf(zip_derived_cl1950,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl1949,zip_derived_cl78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COM003+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YyffbzAg0V true
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 13:13:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.67 % Total configuration time : 435
% 0.21/0.67 % Estimated wc time : 1092
% 0.21/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.68/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.68/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.68/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.68/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.68/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.68/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.68/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.38/1.18 % Solved by fo/fo5.sh.
% 1.38/1.18 % done 610 iterations in 0.390s
% 1.38/1.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/1.18 % SZS output start Refutation
% See solution above
% 1.38/1.19
% 1.38/1.19
% 1.38/1.19 % Terminating...
% 1.79/1.28 % Runner terminated.
% 1.79/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------