TSTP Solution File: ITP087^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP087^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bVvmoULpGs true
% Computer : n009.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 : Thu Aug 31 05:22:06 EDT 2023
% Result : Theorem 43.45s 6.15s
% Output : Refutation 43.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 41 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 89 ( 16 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 320 ( 21 ~; 29 |; 0 &; 237 @)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 7 con; 0-2 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 46 ( 10 ^; 36 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(secrecy_KS_type,type,
secrecy_KS: $tType ).
thf(set_Secrecy_KS_type,type,
set_Secrecy_KS: $tType ).
thf(secrecy_specID_type,type,
secrecy_specID: $tType ).
thf(set_Secrecy_specID_type,type,
set_Secrecy_specID: $tType ).
thf(insert1671894227specID_type,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(q_type,type,
q: secrecy_specID ).
thf(member_Secrecy_KS_type,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(p_type,type,
p: secrecy_specID ).
thf(specKeysSecrets_type,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(correctCompositionKS_type,type,
correctCompositionKS: secrecy_specID > $o ).
thf(pq_type,type,
pq: secrecy_specID ).
thf(m_type,type,
m: secrecy_KS ).
thf(subcomponents_type,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(bot_bo1785112429specID_type,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(fact_1_notKSQ,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ) ).
thf(zip_derived_cl1,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(cnf,[status(esa)],[fact_1_notKSQ]) ).
thf(conj_0,conjecture,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ) ).
thf(zf_stmt_0,negated_conjecture,
member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl83,plain,
member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(fact_3_subPQ,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ).
thf(zip_derived_cl3,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(cnf,[status(esa)],[fact_3_subPQ]) ).
thf(fact_7_correctCompositionKS__PQ,axiom,
! [PQ: secrecy_specID,P: secrecy_specID,Q: secrecy_specID,Ks: secrecy_KS] :
( ( ( subcomponents @ PQ )
= ( insert1671894227specID @ P @ ( insert1671894227specID @ Q @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ PQ )
=> ( ( member_Secrecy_KS @ Ks @ ( specKeysSecrets @ PQ ) )
=> ( ( member_Secrecy_KS @ Ks @ ( specKeysSecrets @ Q ) )
| ( member_Secrecy_KS @ Ks @ ( specKeysSecrets @ P ) ) ) ) ) ) ).
thf(zip_derived_cl7,plain,
( !!
@ ^ [Y0: secrecy_specID] :
( !!
@ ^ [Y1: secrecy_specID] :
( !!
@ ^ [Y2: secrecy_specID] :
( !!
@ ^ [Y3: secrecy_KS] :
( ( ( subcomponents @ Y0 )
= ( insert1671894227specID @ Y1 @ ( insert1671894227specID @ Y2 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ Y0 )
=> ( ( member_Secrecy_KS @ Y3 @ ( specKeysSecrets @ Y0 ) )
=> ( ( member_Secrecy_KS @ Y3 @ ( specKeysSecrets @ Y2 ) )
| ( member_Secrecy_KS @ Y3 @ ( specKeysSecrets @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[fact_7_correctCompositionKS__PQ]) ).
thf(zip_derived_cl107,plain,
! [X2: secrecy_specID] :
( !!
@ ^ [Y0: secrecy_specID] :
( !!
@ ^ [Y1: secrecy_specID] :
( !!
@ ^ [Y2: secrecy_KS] :
( ( ( subcomponents @ X2 )
= ( insert1671894227specID @ Y0 @ ( insert1671894227specID @ Y1 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X2 )
=> ( ( member_Secrecy_KS @ Y2 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ Y2 @ ( specKeysSecrets @ Y1 ) )
| ( member_Secrecy_KS @ Y2 @ ( specKeysSecrets @ Y0 ) ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl108,plain,
! [X2: secrecy_specID,X4: secrecy_specID] :
( !!
@ ^ [Y0: secrecy_specID] :
( !!
@ ^ [Y1: secrecy_KS] :
( ( ( subcomponents @ X2 )
= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ Y0 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X2 )
=> ( ( member_Secrecy_KS @ Y1 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ Y1 @ ( specKeysSecrets @ Y0 ) )
| ( member_Secrecy_KS @ Y1 @ ( specKeysSecrets @ X4 ) ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl107]) ).
thf(zip_derived_cl109,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID] :
( !!
@ ^ [Y0: secrecy_KS] :
( ( ( subcomponents @ X2 )
= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X2 )
=> ( ( member_Secrecy_KS @ Y0 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ Y0 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ Y0 @ ( specKeysSecrets @ X4 ) ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl108]) ).
thf(zip_derived_cl110,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_KS] :
( ( ( subcomponents @ X2 )
= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X2 )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X4 ) ) ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl109]) ).
thf(zip_derived_cl111,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_KS] :
( ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ( ( correctCompositionKS @ X2 )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X4 ) ) ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl110]) ).
thf(zip_derived_cl112,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_KS] :
( ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ( ( correctCompositionKS @ X2 )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X4 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl111]) ).
thf(zip_derived_cl113,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_KS] :
( ~ ( correctCompositionKS @ X2 )
| ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X2 ) )
=> ( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X4 ) ) ) )
| ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl112]) ).
thf(zip_derived_cl114,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_KS] :
( ~ ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X2 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X4 ) )
| ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionKS @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl113]) ).
thf(zip_derived_cl115,plain,
! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_KS] :
( ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X6 ) )
| ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X4 ) )
| ~ ( correctCompositionKS @ X2 )
| ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ~ ( member_Secrecy_KS @ X8 @ ( specKeysSecrets @ X2 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl114]) ).
thf(zip_derived_cl692,plain,
! [X0: secrecy_specID,X1: secrecy_KS] :
( ( ( subcomponents @ X0 )
!= ( subcomponents @ pq ) )
| ~ ( member_Secrecy_KS @ X1 @ ( specKeysSecrets @ X0 ) )
| ~ ( correctCompositionKS @ X0 )
| ( member_Secrecy_KS @ X1 @ ( specKeysSecrets @ p ) )
| ( member_Secrecy_KS @ X1 @ ( specKeysSecrets @ q ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl115]) ).
thf(zip_derived_cl4383,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
| ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) )
| ~ ( correctCompositionKS @ pq )
| ( ( subcomponents @ pq )
!= ( subcomponents @ pq ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl83,zip_derived_cl692]) ).
thf(fact_2_notKSP,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ) ).
thf(zip_derived_cl2,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(cnf,[status(esa)],[fact_2_notKSP]) ).
thf(fact_0_cCompKS,axiom,
correctCompositionKS @ pq ).
thf(zip_derived_cl0,plain,
correctCompositionKS @ pq,
inference(cnf,[status(esa)],[fact_0_cCompKS]) ).
thf(zip_derived_cl4409,plain,
( ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) )
| ( ( subcomponents @ pq )
!= ( subcomponents @ pq ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl4410,plain,
member_Secrecy_KS @ m @ ( specKeysSecrets @ q ),
inference(simplify,[status(thm)],[zip_derived_cl4409]) ).
thf(zip_derived_cl4445,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl4410]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP087^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bVvmoULpGs true
% 0.13/0.34 % Computer : n009.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 : Sun Aug 27 10:16:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.83 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 6.07/1.38 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 43.45/6.15 % Solved by lams/30_sp5.sh.
% 43.45/6.15 % done 565 iterations in 5.361s
% 43.45/6.15 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 43.45/6.15 % SZS output start Refutation
% See solution above
% 43.45/6.15
% 43.45/6.15
% 43.45/6.15 % Terminating...
% 44.09/6.19 % Runner terminated.
% 44.09/6.21 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------