TSTP Solution File: SYN548+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DThv8tZ6A1 true
% Computer : n008.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 144.03s 21.29s
% Output : Refutation 144.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 12
% Syntax : Number of formulae : 158 ( 31 unt; 9 typ; 0 def)
% Number of atoms : 524 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1870 ( 286 ~; 359 |; 3 &;1209 @)
% ( 2 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 214 ( 0 ^; 212 !; 2 ?; 214 :)
% Comments :
%------------------------------------------------------------------------------
thf(initial_world_type,type,
initial_world: $i ).
thf(reachable_type,type,
reachable: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i ).
thf(p_type,type,
p: $i > $o ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(sk__3_type,type,
sk__3: $i > $i ).
thf(q_type,type,
q: $i > $o ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(prove_this,conjecture,
? [X: $i] :
( ! [Y: $i] :
( ( reachable @ X @ Y )
=> ( ! [Z: $i] :
( ( reachable @ Y @ Z )
=> ( ( p @ Z )
| ! [V: $i] :
( ( reachable @ Z @ V )
=> ( q @ V ) ) ) )
<=> ( ! [W: $i] :
( ( reachable @ Y @ W )
=> ( p @ W ) )
| ! [W: $i] :
( ( reachable @ Y @ W )
=> ( q @ W ) ) ) ) )
& ( reachable @ initial_world @ X ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ? [X: $i] :
( ! [Y: $i] :
( ( reachable @ X @ Y )
=> ( ! [Z: $i] :
( ( reachable @ Y @ Z )
=> ( ( p @ Z )
| ! [V: $i] :
( ( reachable @ Z @ V )
=> ( q @ V ) ) ) )
<=> ( ! [W: $i] :
( ( reachable @ Y @ W )
=> ( p @ W ) )
| ! [W: $i] :
( ( reachable @ Y @ W )
=> ( q @ W ) ) ) ) )
& ( reachable @ initial_world @ X ) ),
inference('cnf.neg',[status(esa)],[prove_this]) ).
thf(zip_derived_cl18,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(zip_derived_cl19,plain,
! [X2: $i] :
( ( reachable @ X2 @ ( sk_ @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,plain,
reachable @ initial_world @ ( sk_ @ initial_world ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl19_001,plain,
! [X2: $i] :
( ( reachable @ X2 @ ( sk_ @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34,plain,
reachable @ ( sk_ @ initial_world ) @ ( sk_ @ ( sk_ @ initial_world ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl19]) ).
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_cl46,plain,
! [X0: $i] :
( ( reachable @ ( sk_ @ initial_world ) @ X0 )
| ~ ( reachable @ ( sk_ @ ( sk_ @ initial_world ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl1]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10_002,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_003,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_cl109,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).
thf(zip_derived_cl808,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl109]) ).
thf(zip_derived_cl813,plain,
! [X0: $i] :
( ( reachable @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl808]) ).
thf(zip_derived_cl7_004,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( reachable @ X0 @ X1 )
| ( q @ X1 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X2 ) @ X0 )
| ( p @ X3 )
| ~ ( reachable @ ( sk_ @ X2 ) @ X3 )
| ( q @ X4 )
| ~ ( reachable @ ( sk_ @ X2 ) @ X4 )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ initial_world @ X1 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( p @ X0 )
| ( p @ X0 )
| ( q @ X3 )
| ~ ( reachable @ X0 @ X3 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ X0 @ X3 )
| ( q @ X3 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ~ ( reachable @ initial_world @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl452,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl44]) ).
thf(zip_derived_cl466,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ ( sk__3 @ X0 ) @ X2 )
| ( q @ X2 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl452]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ~ ( p @ ( sk__3 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5036,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl466,zip_derived_cl8]) ).
thf(zip_derived_cl12115,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ ( sk__4 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl813,zip_derived_cl5036]) ).
thf(zip_derived_cl12215,plain,
! [X0: $i,X1: $i] :
( ( q @ ( sk__4 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl12115]) ).
thf(zip_derived_cl9,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94683,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( q @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl12215,zip_derived_cl9]) ).
thf(zip_derived_cl94738,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ( q @ ( sk__4 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl94683]) ).
thf(zip_derived_cl94765,plain,
! [X0: $i] :
( ( q @ ( sk__4 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl94738]) ).
thf(zip_derived_cl9_005,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl94876,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl94765,zip_derived_cl9]) ).
thf(zip_derived_cl95232,plain,
( ( reachable @ ( sk_ @ initial_world ) @ ( sk__2 @ ( sk_ @ initial_world ) ) )
| ~ ( reachable @ initial_world @ ( sk_ @ initial_world ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl94876]) ).
thf(zip_derived_cl27_006,plain,
reachable @ initial_world @ ( sk_ @ initial_world ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl95568,plain,
reachable @ ( sk_ @ initial_world ) @ ( sk__2 @ ( sk_ @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl95232,zip_derived_cl27]) ).
thf(zip_derived_cl15,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ X0 @ X3 )
| ( q @ X3 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ~ ( reachable @ initial_world @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl454,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl44]) ).
thf(zip_derived_cl468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ ( sk__3 @ X0 ) @ X2 )
| ( q @ X2 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl454]) ).
thf(zip_derived_cl16,plain,
! [X2: $i] :
( ~ ( p @ ( sk__3 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__1 @ X0 ) )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl468,zip_derived_cl16]) ).
thf(zip_derived_cl95789,plain,
! [X0: $i] :
( ~ ( reachable @ ( sk__3 @ initial_world ) @ X0 )
| ( q @ X0 )
| ( q @ ( sk__2 @ ( sk_ @ initial_world ) ) )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) )
| ~ ( reachable @ initial_world @ initial_world ) ),
inference('sup-',[status(thm)],[zip_derived_cl95568,zip_derived_cl5231]) ).
thf(zip_derived_cl6,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6_008,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_009,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_cl65,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl682,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl65]) ).
thf(zip_derived_cl688,plain,
! [X0: $i] :
( ( reachable @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl682]) ).
thf(zip_derived_cl3_010,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ X0 @ X3 )
| ( q @ X3 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ~ ( reachable @ initial_world @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl44]) ).
thf(zip_derived_cl465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ ( sk__3 @ X0 ) @ X2 )
| ( q @ X2 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl451]) ).
thf(zip_derived_cl4,plain,
! [X2: $i] :
( ~ ( p @ ( sk__3 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl465,zip_derived_cl4]) ).
thf(zip_derived_cl4935,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ ( sk__4 @ X0 ) )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl4902]) ).
thf(zip_derived_cl4972,plain,
! [X0: $i,X1: $i] :
( ( q @ ( sk__4 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4935]) ).
thf(zip_derived_cl5,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11512,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( q @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl4972,zip_derived_cl5]) ).
thf(zip_derived_cl11541,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) )
| ( q @ ( sk__4 @ X0 ) )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl11512]) ).
thf(zip_derived_cl11561,plain,
! [X0: $i] :
( ( q @ ( sk__4 @ X0 ) )
| ~ ( q @ ( sk__2 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl11541]) ).
thf(zip_derived_cl5_012,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11586,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11561,zip_derived_cl5]) ).
thf(zip_derived_cl27_013,plain,
reachable @ initial_world @ ( sk_ @ initial_world ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl11588,plain,
~ ( q @ ( sk__2 @ ( sk_ @ initial_world ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl11586,zip_derived_cl27]) ).
thf(zip_derived_cl0_014,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl95801,plain,
! [X0: $i] :
( ~ ( reachable @ ( sk__3 @ initial_world ) @ X0 )
| ( q @ X0 )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) ) ),
inference(demod,[status(thm)],[zip_derived_cl95789,zip_derived_cl11588,zip_derived_cl0]) ).
thf(zip_derived_cl97489,plain,
( ~ ( reachable @ initial_world @ initial_world )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) )
| ( q @ ( sk__4 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl95801]) ).
thf(zip_derived_cl0_015,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl97492,plain,
( ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) )
| ( q @ ( sk__4 @ initial_world ) ) ),
inference(demod,[status(thm)],[zip_derived_cl97489,zip_derived_cl0]) ).
thf(zip_derived_cl97493,plain,
( ( q @ ( sk__4 @ initial_world ) )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl97492]) ).
thf(zip_derived_cl27_016,plain,
reachable @ initial_world @ ( sk_ @ initial_world ),
inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl19]) ).
thf(zip_derived_cl1_017,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_cl30,plain,
! [X0: $i] :
( ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ initial_world ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1]) ).
thf(zip_derived_cl97523,plain,
( ( q @ ( sk__4 @ initial_world ) )
| ( reachable @ initial_world @ ( sk__1 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97493,zip_derived_cl30]) ).
thf(zip_derived_cl30_018,plain,
! [X0: $i] :
( ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ initial_world ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl1]) ).
thf(zip_derived_cl17,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl292,plain,
( ( reachable @ initial_world @ ( sk__1 @ initial_world ) )
| ~ ( reachable @ initial_world @ initial_world )
| ~ ( q @ ( sk__4 @ initial_world ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl30,zip_derived_cl17]) ).
thf(zip_derived_cl0_019,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl294,plain,
( ( reachable @ initial_world @ ( sk__1 @ initial_world ) )
| ~ ( q @ ( sk__4 @ initial_world ) ) ),
inference(demod,[status(thm)],[zip_derived_cl292,zip_derived_cl0]) ).
thf(zip_derived_cl97534,plain,
reachable @ initial_world @ ( sk__1 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl97523,zip_derived_cl294]) ).
thf(zip_derived_cl11586_020,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11561,zip_derived_cl5]) ).
thf(zip_derived_cl97539,plain,
~ ( q @ ( sk__2 @ ( sk__1 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97534,zip_derived_cl11586]) ).
thf(zip_derived_cl94876_021,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl94765,zip_derived_cl9]) ).
thf(zip_derived_cl97493_022,plain,
( ( q @ ( sk__4 @ initial_world ) )
| ( reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl97492]) ).
thf(zip_derived_cl9_023,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl17_024,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ( reachable @ ( sk_ @ X2 ) @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ X0 @ X3 )
| ( q @ X3 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ~ ( reachable @ initial_world @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl446,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( p @ ( sk__1 @ X0 ) )
| ( q @ X2 )
| ~ ( reachable @ ( sk__1 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl44]) ).
thf(zip_derived_cl460,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ ( sk__1 @ X0 ) @ X2 )
| ( q @ X2 )
| ( p @ ( sk__1 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl446]) ).
thf(zip_derived_cl13,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4483,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ X2 )
| ~ ( reachable @ ( sk__1 @ X0 ) @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl460,zip_derived_cl13]) ).
thf(zip_derived_cl4504,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ ( sk__1 @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ ( sk__2 @ X0 ) )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl4483]) ).
thf(zip_derived_cl4540,plain,
! [X0: $i,X1: $i] :
( ( q @ ( sk__2 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk__1 @ X0 ) @ X1 )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4504]) ).
thf(zip_derived_cl5_026,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ~ ( q @ ( sk__2 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11051,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__4 @ X0 ) )
| ~ ( reachable @ ( sk__1 @ X0 ) @ X1 )
| ( q @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl4540,zip_derived_cl5]) ).
thf(zip_derived_cl94876_027,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl94765,zip_derived_cl9]) ).
thf(zip_derived_cl97534_028,plain,
reachable @ initial_world @ ( sk__1 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl97523,zip_derived_cl294]) ).
thf(zip_derived_cl19_029,plain,
! [X2: $i] :
( ( reachable @ X2 @ ( sk_ @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97536,plain,
reachable @ ( sk__1 @ initial_world ) @ ( sk_ @ ( sk__1 @ initial_world ) ),
inference('sup-',[status(thm)],[zip_derived_cl97534,zip_derived_cl19]) ).
thf(zip_derived_cl1_030,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_cl97653,plain,
! [X0: $i] :
( ( reachable @ ( sk__1 @ initial_world ) @ X0 )
| ~ ( reachable @ ( sk_ @ ( sk__1 @ initial_world ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl97536,zip_derived_cl1]) ).
thf(zip_derived_cl97915,plain,
( ~ ( reachable @ initial_world @ ( sk__1 @ initial_world ) )
| ( reachable @ ( sk__1 @ initial_world ) @ ( sk__2 @ ( sk__1 @ initial_world ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94876,zip_derived_cl97653]) ).
thf(zip_derived_cl97534_031,plain,
reachable @ initial_world @ ( sk__1 @ initial_world ),
inference(clc,[status(thm)],[zip_derived_cl97523,zip_derived_cl294]) ).
thf(zip_derived_cl97925,plain,
reachable @ ( sk__1 @ initial_world ) @ ( sk__2 @ ( sk__1 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl97915,zip_derived_cl97534]) ).
thf(zip_derived_cl97972,plain,
( ( q @ ( sk__2 @ ( sk__1 @ initial_world ) ) )
| ~ ( q @ ( sk__4 @ initial_world ) )
| ~ ( reachable @ initial_world @ initial_world ) ),
inference('sup+',[status(thm)],[zip_derived_cl11051,zip_derived_cl97925]) ).
thf(zip_derived_cl97539_032,plain,
~ ( q @ ( sk__2 @ ( sk__1 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl97534,zip_derived_cl11586]) ).
thf(zip_derived_cl0_033,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl98005,plain,
~ ( q @ ( sk__4 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl97972,zip_derived_cl97539,zip_derived_cl0]) ).
thf(zip_derived_cl98054,plain,
reachable @ ( sk_ @ initial_world ) @ ( sk__1 @ initial_world ),
inference(demod,[status(thm)],[zip_derived_cl97493,zip_derived_cl98005]) ).
thf(zip_derived_cl44_034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ X0 @ X3 )
| ( q @ X3 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ~ ( reachable @ initial_world @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl98083,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ initial_world )
| ~ ( reachable @ ( sk_ @ initial_world ) @ X0 )
| ( q @ X0 )
| ( p @ ( sk__1 @ initial_world ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk__1 @ initial_world ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl98054,zip_derived_cl44]) ).
thf(zip_derived_cl0_035,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl14,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl14_036,plain,
! [X2: $i] :
( ( reachable @ ( sk__3 @ X2 ) @ ( sk__4 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1_037,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_cl196,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).
thf(zip_derived_cl1483,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ( reachable @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl196]) ).
thf(zip_derived_cl1494,plain,
! [X0: $i] :
( ( reachable @ ( sk_ @ X0 ) @ ( sk__4 @ X0 ) )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl1483]) ).
thf(zip_derived_cl11_038,plain,
! [X2: $i] :
( ( reachable @ ( sk_ @ X2 ) @ ( sk__3 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44_039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( reachable @ X0 @ X3 )
| ( q @ X3 )
| ( p @ X0 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X0 )
| ( q @ X2 )
| ~ ( reachable @ ( sk_ @ X1 ) @ X2 )
| ~ ( reachable @ initial_world @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl42]) ).
thf(zip_derived_cl453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl44]) ).
thf(zip_derived_cl467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ ( sk__3 @ X0 ) @ X2 )
| ( q @ X2 )
| ( p @ ( sk__3 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl453]) ).
thf(zip_derived_cl12,plain,
! [X2: $i] :
( ~ ( p @ ( sk__3 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5130,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ ( sk_ @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ X2 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl467,zip_derived_cl12]) ).
thf(zip_derived_cl5165,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( q @ X1 )
| ( q @ ( sk__4 @ X0 ) )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl1494,zip_derived_cl5130]) ).
thf(zip_derived_cl5203,plain,
! [X0: $i,X1: $i] :
( ( q @ ( sk__4 @ X0 ) )
| ( q @ X1 )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl5165]) ).
thf(zip_derived_cl13_040,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15057,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ ( sk__3 @ X0 ) @ X1 )
| ( q @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl5203,zip_derived_cl13]) ).
thf(zip_derived_cl15080,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) )
| ( q @ ( sk__4 @ X0 ) )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl15057]) ).
thf(zip_derived_cl15096,plain,
! [X0: $i] :
( ( q @ ( sk__4 @ X0 ) )
| ~ ( p @ ( sk__1 @ X0 ) )
| ~ ( reachable @ initial_world @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl15080]) ).
thf(zip_derived_cl13_041,plain,
! [X2: $i] :
( ~ ( q @ ( sk__4 @ X2 ) )
| ~ ( p @ ( sk__1 @ X2 ) )
| ~ ( reachable @ initial_world @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15115,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( p @ ( sk__1 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl15096,zip_derived_cl13]) ).
thf(zip_derived_cl0_042,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl15116,plain,
~ ( p @ ( sk__1 @ initial_world ) ),
inference('sup+',[status(thm)],[zip_derived_cl15115,zip_derived_cl0]) ).
thf(zip_derived_cl98090,plain,
! [X0: $i,X1: $i] :
( ~ ( reachable @ ( sk_ @ initial_world ) @ X0 )
| ( q @ X0 )
| ( q @ X1 )
| ~ ( reachable @ ( sk__1 @ initial_world ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl98083,zip_derived_cl0,zip_derived_cl15116]) ).
thf(zip_derived_cl98385,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ initial_world )
| ~ ( reachable @ ( sk__1 @ initial_world ) @ X0 )
| ( q @ X0 )
| ( q @ ( sk__2 @ initial_world ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl94876,zip_derived_cl98090]) ).
thf(zip_derived_cl0_043,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl11586_044,plain,
! [X0: $i] :
( ~ ( reachable @ initial_world @ X0 )
| ~ ( q @ ( sk__2 @ X0 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl11561,zip_derived_cl5]) ).
thf(zip_derived_cl0_045,plain,
! [X0: $i] : ( reachable @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_of_reachable]) ).
thf(zip_derived_cl11587,plain,
~ ( q @ ( sk__2 @ initial_world ) ),
inference('sup+',[status(thm)],[zip_derived_cl11586,zip_derived_cl0]) ).
thf(zip_derived_cl98414,plain,
! [X0: $i] :
( ~ ( reachable @ ( sk__1 @ initial_world ) @ X0 )
| ( q @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl98385,zip_derived_cl0,zip_derived_cl11587]) ).
thf(zip_derived_cl97925_046,plain,
reachable @ ( sk__1 @ initial_world ) @ ( sk__2 @ ( sk__1 @ initial_world ) ),
inference(demod,[status(thm)],[zip_derived_cl97915,zip_derived_cl97534]) ).
thf(zip_derived_cl98438,plain,
q @ ( sk__2 @ ( sk__1 @ initial_world ) ),
inference('sup+',[status(thm)],[zip_derived_cl98414,zip_derived_cl97925]) ).
thf(zip_derived_cl98446,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl97539,zip_derived_cl98438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN548+1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DThv8tZ6A1 true
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 19:33:17 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 144.03/21.29 % Solved by fo/fo3_bce.sh.
% 144.03/21.29 % BCE start: 20
% 144.03/21.29 % BCE eliminated: 0
% 144.03/21.29 % PE start: 20
% 144.03/21.29 logic: neq
% 144.03/21.29 % PE eliminated: 0
% 144.03/21.29 % done 20243 iterations in 20.543s
% 144.03/21.29 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 144.03/21.29 % SZS output start Refutation
% See solution above
% 144.03/21.30
% 144.03/21.30
% 144.03/21.30 % Terminating...
% 144.67/21.40 % Runner terminated.
% 144.67/21.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------