TSTP Solution File: SWV449+1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWV449+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.V0JOPBTynf true
% Computer : n024.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 00:10:01 EDT 2023
% Result : Theorem 1.29s 1.09s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 61 ( 18 unt; 27 typ; 0 def)
% Number of atoms : 154 ( 69 equ; 0 cnn)
% Maximal formula atoms : 44 ( 4 avg)
% Number of connectives : 650 ( 72 ~; 36 |; 46 &; 458 @)
% ( 2 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 16 con; 0-2 aty)
% Number of variables : 87 ( 0 ^; 87 !; 0 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(m_Ack_type,type,
m_Ack: $i > $i > $i ).
thf(m_Ldr_type,type,
m_Ldr: $i > $i ).
thf(acks_type,type,
acks: $i ).
thf(elec_2_type,type,
elec_2: $i ).
thf(alive_type,type,
alive: $i ).
thf(setIn_type,type,
setIn: $i > $i > $o ).
thf(elem_type,type,
elem: $i > $i > $o ).
thf(leq_type,type,
leq: $i > $i > $o ).
thf(m_Down_type,type,
m_Down: $i > $i ).
thf(sk__5_type,type,
sk__5: $i ).
thf(pendack_type,type,
pendack: $i ).
thf(snoc_type,type,
snoc: $i > $i > $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(status_type,type,
status: $i ).
thf(nbr_proc_type,type,
nbr_proc: $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(m_Halt_type,type,
m_Halt: $i > $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(cons_type,type,
cons: $i > $i > $i ).
thf(index_type,type,
index: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(host_type,type,
host: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__9_type,type,
sk__9: $i ).
thf(queue_type,type,
queue: $i > $i ).
thf(elid_type,type,
elid: $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_Ack @ W @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ( ( ( index @ elid @ ( host @ X ) )
= W )
& ( ( index @ status @ ( host @ X ) )
= elec_2 )
& ( ( host @ Y )
= ( index @ pendack @ ( host @ X ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
=> ! [Z: $i] :
( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
| ( ( host @ Z )
= ( host @ Y ) ) )
=> ! [V0: $i] :
( ( ( host @ Z )
= ( host @ V0 ) )
=> ( ( ( host @ X )
= ( host @ V0 ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ Z )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ V0 ) )
& ( setIn @ V0 @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ V0 ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) )
& ( elem @ ( m_Down @ Y0 ) @ ( snoc @ V @ ( m_Ldr @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_Ack @ W @ Y ) @ V ) ) )
=> ( ( setIn @ X @ alive )
=> ( ( ( ( index @ elid @ ( host @ X ) )
= W )
& ( ( index @ status @ ( host @ X ) )
= elec_2 )
& ( ( host @ Y )
= ( index @ pendack @ ( host @ X ) ) ) )
=> ( ( leq @ nbr_proc @ ( index @ pendack @ ( host @ X ) ) )
=> ! [Z: $i] :
( ( ( setIn @ ( host @ Z ) @ ( index @ acks @ ( host @ X ) ) )
| ( ( host @ Z )
= ( host @ Y ) ) )
=> ! [V0: $i] :
( ( ( host @ Z )
= ( host @ V0 ) )
=> ( ( ( host @ X )
= ( host @ V0 ) )
=> ! [W0: $i,X0: $i] :
( ( ( host @ Z )
!= ( host @ X0 ) )
=> ( ( ( host @ X )
!= ( host @ X0 ) )
=> ! [Y0: $i] :
( ( ( ( host @ X0 )
!= ( host @ V0 ) )
& ( setIn @ V0 @ alive )
& ( setIn @ X0 @ alive )
& ( ( host @ W0 )
= ( host @ V0 ) )
& ( ( host @ Y0 )
= ( host @ X0 ) ) )
=> ~ ( ( elem @ ( m_Down @ W0 ) @ ( queue @ ( host @ X0 ) ) )
& ( elem @ ( m_Down @ Y0 ) @ ( snoc @ V @ ( m_Ldr @ X ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[conj]) ).
thf(zip_derived_cl109,plain,
( ( queue @ ( host @ sk__5 ) )
= ( cons @ ( m_Ack @ sk__4 @ sk__6 ) @ 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_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem @ X0 @ ( cons @ X1 @ X2 ) )
| ~ ( elem @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[axiom_46]) ).
thf(zip_derived_cl522,plain,
! [X0: $i] :
( ( elem @ X0 @ ( queue @ ( host @ sk__5 ) ) )
| ~ ( elem @ X0 @ sk__3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl109,zip_derived_cl54]) ).
thf(zip_derived_cl105,plain,
( ( host @ sk__11 )
= ( host @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl100,plain,
( ( host @ sk__9 )
= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97,plain,
( ( host @ sk__5 )
= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl370,plain,
( ( host @ sk__9 )
= ( host @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl97]) ).
thf(zip_derived_cl121,plain,
setIn @ sk__5 @ alive,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl101,plain,
setIn @ sk__10 @ alive,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl117,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_cl891,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__10 ) ) )
| ( ( host @ X0 )
!= ( host @ X1 ) )
| ~ ( setIn @ X1 @ alive )
| ( ( host @ sk__10 )
= ( host @ X1 ) )
| ( ( host @ X2 )
!= ( host @ sk__10 ) )
| ~ ( elem @ ( m_Down @ X2 ) @ ( queue @ ( host @ X1 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl117]) ).
thf(zip_derived_cl1595,plain,
! [X0: $i,X1: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__10 ) ) )
| ( ( host @ X0 )
!= ( host @ sk__5 ) )
| ( ( host @ sk__10 )
= ( host @ sk__5 ) )
| ( ( host @ X1 )
!= ( host @ sk__10 ) )
| ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl891]) ).
thf(zip_derived_cl103,plain,
( ( host @ sk__10 )
!= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl97_001,plain,
( ( host @ sk__5 )
= ( host @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl367,plain,
( ( host @ sk__10 )
!= ( host @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl97]) ).
thf(zip_derived_cl1597,plain,
! [X0: $i,X1: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__10 ) ) )
| ( ( host @ X0 )
!= ( host @ sk__5 ) )
| ( ( host @ X1 )
!= ( host @ sk__10 ) )
| ~ ( elem @ ( m_Down @ X1 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1595,zip_derived_cl367]) ).
thf(zip_derived_cl1610,plain,
! [X0: $i] :
( ~ ( elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ) )
| ( ( host @ sk__5 )
!= ( host @ sk__5 ) )
| ( ( host @ X0 )
!= ( host @ sk__10 ) )
| ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl370,zip_derived_cl1597]) ).
thf(zip_derived_cl99,plain,
elem @ ( m_Down @ sk__9 ) @ ( queue @ ( host @ sk__10 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1614,plain,
! [X0: $i] :
( ( ( host @ sk__5 )
!= ( host @ sk__5 ) )
| ( ( host @ X0 )
!= ( host @ sk__10 ) )
| ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1610,zip_derived_cl99]) ).
thf(zip_derived_cl1615,plain,
! [X0: $i] :
( ~ ( elem @ ( m_Down @ X0 ) @ ( queue @ ( host @ sk__5 ) ) )
| ( ( host @ X0 )
!= ( host @ sk__10 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1614]) ).
thf(zip_derived_cl1618,plain,
( ~ ( elem @ ( m_Down @ sk__11 ) @ ( queue @ ( host @ sk__5 ) ) )
| ( ( host @ sk__10 )
!= ( host @ sk__10 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl1615]) ).
thf(zip_derived_cl1620,plain,
~ ( elem @ ( m_Down @ sk__11 ) @ ( queue @ ( host @ sk__5 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1618]) ).
thf(zip_derived_cl1621,plain,
~ ( elem @ ( m_Down @ sk__11 ) @ sk__3 ),
inference('s_sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl1620]) ).
thf(zip_derived_cl104,plain,
elem @ ( m_Down @ sk__11 ) @ ( snoc @ sk__3 @ ( m_Ldr @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(axiom_47,axiom,
! [X: $i,Y: $i,Q: $i] :
( ( elem @ X @ ( snoc @ Q @ Y ) )
<=> ( ( X = Y )
| ( elem @ X @ Q ) ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( elem @ X0 @ X1 )
| ( X0 = X2 )
| ~ ( elem @ X0 @ ( snoc @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[axiom_47]) ).
thf(zip_derived_cl831,plain,
( ( elem @ ( m_Down @ sk__11 ) @ sk__3 )
| ( ( m_Down @ sk__11 )
= ( m_Ldr @ sk__5 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl55]) ).
thf(axiom_18,axiom,
! [X: $i,Y: $i] :
( ( m_Down @ X )
!= ( m_Ldr @ Y ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( m_Down @ X1 )
!= ( m_Ldr @ X0 ) ),
inference(cnf,[status(esa)],[axiom_18]) ).
thf(zip_derived_cl832,plain,
elem @ ( m_Down @ sk__11 ) @ sk__3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl831,zip_derived_cl19]) ).
thf(zip_derived_cl1622,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1621,zip_derived_cl832]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV449+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.V0JOPBTynf true
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:24:23 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.34 % Running portfolio for 300 s
% 0.19/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/1.09 % Solved by fo/fo6_bce.sh.
% 1.29/1.09 % BCE start: 122
% 1.29/1.09 % BCE eliminated: 0
% 1.29/1.09 % PE start: 122
% 1.29/1.09 logic: eq
% 1.29/1.09 % PE eliminated: 0
% 1.29/1.09 % done 546 iterations in 0.383s
% 1.29/1.09 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/1.09 % SZS output start Refutation
% See solution above
% 1.29/1.09
% 1.29/1.09
% 1.29/1.09 % Terminating...
% 1.77/1.17 % Runner terminated.
% 1.77/1.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------