TSTP Solution File: SWV455+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.p7uBxUeM4Q 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 : Fri Sep 1 00:10:02 EDT 2023
% Result : Theorem 19.38s 3.32s
% Output : Refutation 19.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 29
% Syntax : Number of formulae : 54 ( 15 unt; 27 typ; 0 def)
% Number of atoms : 148 ( 67 equ; 0 cnn)
% Maximal formula atoms : 46 ( 5 avg)
% Number of connectives : 607 ( 73 ~; 36 |; 50 &; 413 @)
% ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 17 con; 0-2 aty)
% Number of variables : 77 ( 0 ^; 77 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(wait_type,type,
wait: $i ).
thf(m_Ack_type,type,
m_Ack: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(down_type,type,
down: $i ).
thf(alive_type,type,
alive: $i ).
thf(setIn_type,type,
setIn: $i > $i > $o ).
thf(elem_type,type,
elem: $i > $i > $o ).
thf(sk__7_type,type,
sk__7: $i ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(s_type,type,
s: $i > $i ).
thf(m_Down_type,type,
m_Down: $i > $i ).
thf(elid_type,type,
elid: $i ).
thf(norm_type,type,
norm: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(status_type,type,
status: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(m_Halt_type,type,
m_Halt: $i > $i ).
thf(zero_type,type,
zero: $i ).
thf(elec_1_type,type,
elec_1: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(index_type,type,
index: $i > $i > $i ).
thf(host_type,type,
host: $i > $i ).
thf(queue_type,type,
queue: $i > $i ).
thf(ldr_type,type,
ldr: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(conj,conjecture,
! [V: $i,W: $i,X: $i,Y: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ X ) )
= ( cons @ ( m_Down @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
= ( host @ Y ) )
& ( ( index @ status @ ( host @ X ) )
= norm ) )
| ( ( ( index @ status @ ( host @ X ) )
= wait )
& ( ( host @ Y )
= ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
=> ( ~ ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ X ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
| ( Z
= ( host @ Y ) ) ) )
& ( ( index @ status @ ( host @ X ) )
= elec_1 ) )
=> ! [Z: $i] :
( ( ( host @ X )
!= ( host @ Z ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ X )
= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ Z ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ V )
& ( elem @ ( m_Down @ Y0 ) @ ( queue @ ( host @ Z ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [V: $i,W: $i,X: $i,Y: $i] :
( ( ! [Z: $i,Pid0: $i] :
( ( setIn @ Pid0 @ alive )
=> ~ ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ( ( host @ Pid0 )
!= ( host @ Z ) ) )
& ! [Z: $i,Pid0: $i] :
( ( elem @ ( m_Halt @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid20: $i,Pid0: $i] :
( ( elem @ ( m_Ack @ Pid0 @ Z ) @ ( queue @ ( host @ Pid20 ) ) )
=> ~ ( leq @ ( host @ Z ) @ ( host @ Pid0 ) ) )
& ! [Z: $i,Pid0: $i] :
( ( ~ ( setIn @ Z @ alive )
& ( leq @ Pid0 @ Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ~ ( setIn @ Pid0 @ alive ) )
& ! [Z: $i,Pid0: $i] :
( ( ( Pid0 != Z )
& ( ( host @ Pid0 )
= ( host @ Z ) ) )
=> ( ~ ( setIn @ Z @ alive )
| ~ ( setIn @ Pid0 @ alive ) ) )
& ! [Z: $i,Pid30: $i,Pid20: $i,Pid0: $i] :
( ( ( ( host @ Pid20 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ Pid20 @ alive )
& ( ( host @ Pid30 )
= ( host @ Z ) )
& ( ( host @ Pid0 )
= ( host @ Pid20 ) ) )
=> ~ ( ( elem @ ( m_Down @ Pid0 ) @ ( queue @ ( host @ Z ) ) )
& ( elem @ ( m_Down @ Pid30 ) @ ( queue @ ( host @ Pid20 ) ) ) ) )
& ( ( queue @ ( host @ X ) )
= ( cons @ ( m_Down @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ~ ( leq @ ( host @ X ) @ ( host @ Y ) )
=> ( ~ ( ( ( ( index @ ldr @ ( host @ X ) )
= ( host @ Y ) )
& ( ( index @ status @ ( host @ X ) )
= norm ) )
| ( ( ( index @ status @ ( host @ X ) )
= wait )
& ( ( host @ Y )
= ( host @ ( index @ elid @ ( host @ X ) ) ) ) ) )
=> ( ~ ( ! [Z: $i] :
( ( ~ ( leq @ ( host @ X ) @ Z )
& ( leq @ ( s @ zero ) @ Z ) )
=> ( ( setIn @ Z @ ( index @ down @ ( host @ X ) ) )
| ( Z
= ( host @ Y ) ) ) )
& ( ( index @ status @ ( host @ X ) )
= elec_1 ) )
=> ! [Z: $i] :
( ( ( host @ X )
!= ( host @ Z ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ X )
= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ Z ) )
& ( setIn @ Z @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ Z ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ V )
& ( elem @ ( m_Down @ Y0 ) @ ( queue @ ( host @ Z ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl107,plain,
elem @ ( m_Down @ sk__7 ) @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl112,plain,
elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
( ( queue @ ( host @ sk__5 ) )
= ( cons @ ( m_Down @ sk__10 ) @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom_46,axiom,
! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( cons @ Y @ Q ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) ).
thf(zip_derived_cl48,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( elem @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_46]) ).
thf(zip_derived_cl500,plain,
! [X0: $i] :
( ( elem @ X0 @ ( queue @ ( host @ sk__5 ) ) )
| ~ ( elem @ X0 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl48]) ).
thf(zip_derived_cl105,plain,
! [X15: $i,X16: $i,X17: $i,X18: $i] :
( ~ ( elem @ ( m_Down @ X15 ) @ ( queue @ ( host @ X16 ) ) )
| ( ( host @ X15 )
!= ( host @ X17 ) )
| ~ ( setIn @ X16 @ alive )
| ~ ( setIn @ X17 @ alive )
| ( ( host @ X16 )
= ( host @ X17 ) )
| ( ( host @ X18 )
!= ( host @ X16 ) )
| ~ ( elem @ ( m_Down @ X18 ) @ ( queue @ ( host @ X17 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1207,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
| ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) )
| ( ( host @ X2 )
!= ( host @ sk__5 ) )
| ( ( host @ sk__5 )
= ( host @ X1 ) )
| ~ ( setIn @ X1 @ alive )
| ~ ( setIn @ sk__5 @ alive )
| ( ( host @ X0 )
!= ( host @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl500,zip_derived_cl105]) ).
thf(zip_derived_cl115,plain,
setIn @ sk__5 @ alive,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
| ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) )
| ( ( host @ X2 )
!= ( host @ sk__5 ) )
| ( ( host @ sk__5 )
= ( host @ X1 ) )
| ~ ( setIn @ X1 @ alive )
| ( ( host @ X0 )
!= ( host @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1207,zip_derived_cl115]) ).
thf(zip_derived_cl8022,plain,
! [X0: $i] :
( ( ( host @ X0 )
!= ( host @ sk__6 ) )
| ~ ( setIn @ sk__6 @ alive )
| ( ( host @ sk__5 )
= ( host @ sk__6 ) )
| ( ( host @ sk__9 )
!= ( host @ sk__5 ) )
| ~ ( elem @ ( m_Down @ X0 ) @ sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1218]) ).
thf(zip_derived_cl110,plain,
setIn @ sk__6 @ alive,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl113,plain,
( ( host @ sk__9 )
= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106,plain,
( ( host @ sk__5 )
= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl369,plain,
( ( host @ sk__9 )
= ( host @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl106]) ).
thf(zip_derived_cl8034,plain,
! [X0: $i] :
( ( ( host @ X0 )
!= ( host @ sk__6 ) )
| ( ( host @ sk__5 )
= ( host @ sk__6 ) )
| ( ( host @ sk__5 )
!= ( host @ sk__5 ) )
| ~ ( elem @ ( m_Down @ X0 ) @ sk__3 ) ),
inference(demod,[status(thm)],[zip_derived_cl8022,zip_derived_cl110,zip_derived_cl369]) ).
thf(zip_derived_cl8035,plain,
! [X0: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
| ( ( host @ sk__5 )
= ( host @ sk__6 ) )
| ( ( host @ X0 )
!= ( host @ sk__6 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl8034]) ).
thf(zip_derived_cl111,plain,
( ( host @ sk__8 )
!= ( host @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl106_001,plain,
( ( host @ sk__5 )
= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl361,plain,
( ( host @ sk__5 )
!= ( host @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl106]) ).
thf(zip_derived_cl8036,plain,
! [X0: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ sk__3 )
| ( ( host @ X0 )
!= ( host @ sk__6 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl8035,zip_derived_cl361]) ).
thf(zip_derived_cl8042,plain,
( ( host @ sk__7 )
!= ( host @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl8036]) ).
thf(zip_derived_cl108,plain,
( ( host @ sk__7 )
= ( host @ sk__6 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl8044,plain,
( ( host @ sk__6 )
!= ( host @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl8042,zip_derived_cl108]) ).
thf(zip_derived_cl8045,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl8044]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.p7uBxUeM4Q true
% 0.10/0.32 % Computer : n005.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 03:50:38 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.17/0.58 % Total configuration time : 435
% 0.17/0.58 % Estimated wc time : 1092
% 0.17/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.23/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.23/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.23/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.26/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 19.38/3.32 % Solved by fo/fo3_bce.sh.
% 19.38/3.32 % BCE start: 116
% 19.38/3.32 % BCE eliminated: 0
% 19.38/3.32 % PE start: 116
% 19.38/3.32 logic: eq
% 19.38/3.32 % PE eliminated: 0
% 19.38/3.32 % done 2823 iterations in 2.589s
% 19.38/3.32 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.38/3.32 % SZS output start Refutation
% See solution above
% 19.38/3.32
% 19.38/3.32
% 19.38/3.32 % Terminating...
% 19.38/3.42 % Runner terminated.
% 19.38/3.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------