TSTP Solution File: SYN549+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EjwRaKgWhB true
% Computer : n012.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 : Fri Sep 1 04:04:32 EDT 2023
% Result : Theorem 1.34s 0.91s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 25
% Syntax : Number of formulae : 112 ( 22 unt; 17 typ; 0 def)
% Number of atoms : 221 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 699 ( 73 ~; 102 |; 13 &; 500 @)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 83 ( 0 ^; 71 !; 12 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: $i > $o ).
thf(initial_world_type,type,
initial_world: $i ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(reachable_type,type,
reachable: $i > $i > $o ).
thf(p_type,type,
p: $i > $o ).
thf(sk__type,type,
sk_: $i > $i ).
thf(zip_tseitin_2_type,type,
zip_tseitin_2: $i > $i > $o ).
thf(q_type,type,
q: $i > $o ).
thf(zip_tseitin_3_type,type,
zip_tseitin_3: $i > $o ).
thf(reflexivity_of_reachable,axiom,
! [X: $i] : ( reachable @ X @ X ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(prove_this,conjecture,
? [X: $i] :
( ( reachable @ initial_world @ X )
& ! [Y: $i] :
( ( reachable @ X @ Y )
=> ( ? [Z: $i] :
( ( reachable @ Y @ Z )
& ( ( p @ Z )
| ? [V: $i] :
( ( reachable @ Z @ V )
& ( q @ V ) ) ) )
<=> ( ? [W: $i] :
( ( reachable @ Y @ W )
& ( q @ W ) )
| ? [W: $i] :
( ( reachable @ Y @ W )
& ( p @ W ) ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_3: $i > $o ).
thf(zf_stmt_1,axiom,
! [Y: $i] :
( ( zip_tseitin_3 @ Y )
<=> ( ? [W: $i] : ( zip_tseitin_2 @ W @ Y )
| ? [W: $i] : ( zip_tseitin_1 @ W @ Y ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_2: $i > $i > $o ).
thf(zf_stmt_3,axiom,
! [W: $i,Y: $i] :
( ( zip_tseitin_2 @ W @ Y )
<=> ( ( p @ W )
& ( reachable @ Y @ W ) ) ) ).
thf(zf_stmt_4,type,
zip_tseitin_1: $i > $i > $o ).
thf(zf_stmt_5,axiom,
! [W: $i,Y: $i] :
( ( zip_tseitin_1 @ W @ Y )
<=> ( ( q @ W )
& ( reachable @ Y @ W ) ) ) ).
thf(zf_stmt_6,type,
zip_tseitin_0: $i > $o ).
thf(zf_stmt_7,axiom,
! [Z: $i] :
( ( zip_tseitin_0 @ Z )
<=> ( ? [V: $i] :
( ( q @ V )
& ( reachable @ Z @ V ) )
| ( p @ Z ) ) ) ).
thf(zf_stmt_8,conjecture,
? [X: $i] :
( ! [Y: $i] :
( ( reachable @ X @ Y )
=> ( ? [Z: $i] :
( ( zip_tseitin_0 @ Z )
& ( reachable @ Y @ Z ) )
<=> ( zip_tseitin_3 @ Y ) ) )
& ( reachable @ initial_world @ X ) ) ).
thf(zf_stmt_9,negated_conjecture,
~ ? [X: $i] :
( ! [Y: $i] :
( ( reachable @ X @ Y )
=> ( ? [Z: $i] :
( ( zip_tseitin_0 @ Z )
& ( reachable @ Y @ Z ) )
<=> ( zip_tseitin_3 @ Y ) ) )
& ( reachable @ initial_world @ X ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_8]) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ ( sk__4 @ X0 ) )
| ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl46,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( zip_tseitin_0 @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( p @ X0 )
| ( reachable @ X0 @ ( sk_ @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl52,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__4 @ initial_world ) @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( p @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl2]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl15,plain,
! [X0: $i] :
( ( reachable @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) )
| ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl49,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_2 @ X0 @ X1 )
| ~ ( reachable @ X1 @ X0 )
| ~ ( p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( p @ X1 )
| ~ ( reachable @ X0 @ X1 )
| ( zip_tseitin_3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl13]) ).
thf(zip_derived_cl75,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ~ ( p @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl44]) ).
thf(zip_derived_cl81,plain,
( ~ ( p @ ( sk__4 @ initial_world ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl204,plain,
( ( reachable @ ( sk__4 @ initial_world ) @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl81]) ).
thf(zip_derived_cl49_002,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).
thf(transitivity_of_reachable,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( reachable @ X @ Y )
& ( reachable @ Y @ Z ) )
=> ( reachable @ X @ Z ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ X0 @ X1 )
| ~ ( reachable @ X1 @ X2 )
| ( reachable @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[transitivity_of_reachable]) ).
thf(zip_derived_cl72,plain,
! [X0: $i] :
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__3 @ initial_world ) @ X0 )
| ~ ( reachable @ ( sk__4 @ initial_world ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1]) ).
thf(zip_derived_cl210,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl72]) ).
thf(zip_derived_cl213,plain,
( ( reachable @ ( sk__3 @ initial_world ) @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl210]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_1 @ X0 @ X1 )
| ~ ( reachable @ X1 @ X0 )
| ~ ( q @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_3 @ X0 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: $i] :
( ~ ( q @ X1 )
| ~ ( reachable @ X0 @ X1 )
| ( zip_tseitin_3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl14]) ).
thf(zip_derived_cl297,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ~ ( q @ ( sk_ @ ( sk__4 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl213,zip_derived_cl31]) ).
thf(zip_derived_cl304,plain,
( ~ ( q @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl297]) ).
thf(zip_derived_cl46_003,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( zip_tseitin_0 @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl16]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( p @ X0 )
| ( q @ ( sk_ @ X0 ) )
| ~ ( zip_tseitin_0 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl53,plain,
( ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ( q @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( p @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3]) ).
thf(zip_derived_cl81_004,plain,
( ~ ( p @ ( sk__4 @ initial_world ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl111,plain,
( ( q @ ( sk_ @ ( sk__4 @ initial_world ) ) )
| ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference(clc,[status(thm)],[zip_derived_cl53,zip_derived_cl81]) ).
thf(zip_derived_cl309,plain,
zip_tseitin_3 @ ( sk__3 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl111]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( zip_tseitin_1 @ ( sk__1 @ X0 ) @ X0 )
| ( zip_tseitin_2 @ ( sk__2 @ X0 ) @ X0 )
| ~ ( zip_tseitin_3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl313,plain,
( ( zip_tseitin_2 @ ( sk__2 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) )
| ( zip_tseitin_1 @ ( sk__1 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl12]) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( reachable @ X0 @ X1 )
| ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl377,plain,
( ( zip_tseitin_2 @ ( sk__2 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl7]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( reachable @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl530,plain,
( ( reachable @ ( sk__3 @ initial_world ) @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl10]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( q @ X1 )
| ~ ( reachable @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl584,plain,
( ( reachable @ ( sk__3 @ initial_world ) @ ( sk__2 @ ( sk__3 @ initial_world ) ) )
| ~ ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ( zip_tseitin_0 @ ( sk__3 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl530,zip_derived_cl4]) ).
thf(zip_derived_cl313_005,plain,
( ( zip_tseitin_2 @ ( sk__2 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) )
| ( zip_tseitin_1 @ ( sk__1 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl12]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] :
( ( q @ X0 )
| ~ ( zip_tseitin_1 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl376,plain,
( ( zip_tseitin_2 @ ( sk__2 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) )
| ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl6]) ).
thf(zip_derived_cl10_006,plain,
! [X0: $i,X1: $i] :
( ( reachable @ X0 @ X1 )
| ~ ( zip_tseitin_2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl382,plain,
( ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_0 @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ~ ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl416,plain,
( ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ~ ( reachable @ initial_world @ initial_world )
| ~ ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ~ ( zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl382,zip_derived_cl17]) ).
thf(zip_derived_cl0_007,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl309_008,plain,
zip_tseitin_3 @ ( sk__3 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl111]) ).
thf(zip_derived_cl423,plain,
( ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ~ ( zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl416,zip_derived_cl0,zip_derived_cl309]) ).
thf(zip_derived_cl377_009,plain,
( ( zip_tseitin_2 @ ( sk__2 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) )
| ( reachable @ ( sk__3 @ initial_world ) @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl7]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ( p @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl529,plain,
( ( reachable @ ( sk__3 @ initial_world ) @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ( p @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl377,zip_derived_cl9]) ).
thf(zip_derived_cl17_010,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_0 @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ~ ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl539,plain,
( ( p @ ( sk__2 @ ( sk__3 @ initial_world ) ) )
| ~ ( reachable @ initial_world @ initial_world )
| ~ ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ~ ( zip_tseitin_0 @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl529,zip_derived_cl17]) ).
thf(zip_derived_cl0_011,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl309_012,plain,
zip_tseitin_3 @ ( sk__3 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl111]) ).
thf(zip_derived_cl423_013,plain,
( ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ~ ( zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl416,zip_derived_cl0,zip_derived_cl309]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl4_015,plain,
! [X0: $i,X1: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( q @ X1 )
| ~ ( reachable @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ( zip_tseitin_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl432,plain,
( ~ ( zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ) )
| ( zip_tseitin_0 @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl423,zip_derived_cl19]) ).
thf(zip_derived_cl376_016,plain,
( ( zip_tseitin_2 @ ( sk__2 @ ( sk__3 @ initial_world ) ) @ ( sk__3 @ initial_world ) )
| ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl6]) ).
thf(zip_derived_cl9_017,plain,
! [X0: $i,X1: $i] :
( ( p @ X0 )
| ~ ( zip_tseitin_2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl381,plain,
( ( q @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ( p @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl376,zip_derived_cl9]) ).
thf(zip_derived_cl19_018,plain,
! [X0: $i] :
( ~ ( q @ X0 )
| ( zip_tseitin_0 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).
thf(zip_derived_cl387,plain,
( ( p @ ( sk__2 @ ( sk__3 @ initial_world ) ) )
| ( zip_tseitin_0 @ ( sk__1 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl19]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl394,plain,
( ( zip_tseitin_0 @ ( sk__1 @ ( sk__3 @ initial_world ) ) )
| ( zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl387,zip_derived_cl5]) ).
thf(zip_derived_cl437,plain,
zip_tseitin_0 @ ( sk__1 @ ( sk__3 @ initial_world ) ),
inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl394]) ).
thf(zip_derived_cl549,plain,
p @ ( sk__2 @ ( sk__3 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl539,zip_derived_cl0,zip_derived_cl309,zip_derived_cl437]) ).
thf(zip_derived_cl5_019,plain,
! [X0: $i] :
( ( zip_tseitin_0 @ X0 )
| ~ ( p @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_7]) ).
thf(zip_derived_cl551,plain,
zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ),
inference('sup-',[status(thm)],[zip_derived_cl549,zip_derived_cl5]) ).
thf(zip_derived_cl557,plain,
q @ ( sk__1 @ ( sk__3 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl423,zip_derived_cl551]) ).
thf(zip_derived_cl0_020,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl0_021,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl17_022,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_0 @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ~ ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( zip_tseitin_0 @ ( sk__3 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl17]) ).
thf(zip_derived_cl37,plain,
( ~ ( zip_tseitin_0 @ ( sk__3 @ initial_world ) )
| ~ ( zip_tseitin_3 @ ( sk__3 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl35]) ).
thf(zip_derived_cl309_023,plain,
zip_tseitin_3 @ ( sk__3 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl111]) ).
thf(zip_derived_cl310,plain,
~ ( zip_tseitin_0 @ ( sk__3 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl309]) ).
thf(zip_derived_cl594,plain,
reachable @ ( sk__3 @ initial_world ) @ ( sk__2 @ ( sk__3 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl557,zip_derived_cl310]) ).
thf(zip_derived_cl17_024,plain,
! [X0: $i,X1: $i] :
( ~ ( zip_tseitin_0 @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ~ ( zip_tseitin_3 @ ( sk__3 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_9]) ).
thf(zip_derived_cl605,plain,
( ~ ( reachable @ initial_world @ initial_world )
| ~ ( zip_tseitin_3 @ ( sk__3 @ initial_world ) )
| ~ ( zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl594,zip_derived_cl17]) ).
thf(zip_derived_cl0_025,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl309_026,plain,
zip_tseitin_3 @ ( sk__3 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl111]) ).
thf(zip_derived_cl551_027,plain,
zip_tseitin_0 @ ( sk__2 @ ( sk__3 @ initial_world ) ),
inference('sup-',[status(thm)],[zip_derived_cl549,zip_derived_cl5]) ).
thf(zip_derived_cl613,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl605,zip_derived_cl0,zip_derived_cl309,zip_derived_cl551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN549+1 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.EjwRaKgWhB true
% 0.14/0.34 % Computer : n012.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 : 300
% 0.14/0.34 % DateTime : Sat Aug 26 18:35:10 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.91 % Solved by fo/fo4.sh.
% 1.34/0.91 % done 263 iterations in 0.130s
% 1.34/0.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.91 % SZS output start Refutation
% See solution above
% 1.34/0.91
% 1.34/0.91
% 1.34/0.91 % Terminating...
% 1.85/0.98 % Runner terminated.
% 1.85/0.99 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------