TSTP Solution File: ITP089^1 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP089^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n025.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 04:01:58 EDT 2023
% Result : Theorem 0.19s 0.48s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_secrecy_specID,type,
secrecy_specID: $tType ).
thf(ty_secrecy_Secrets,type,
secrecy_Secrets: $tType ).
thf(ty_pq,type,
pq: secrecy_specID ).
thf(ty_secret,type,
secret: secrecy_Secrets ).
thf(ty_correc965049635ionLoc,type,
correc965049635ionLoc: secrecy_specID > $o ).
thf(ty_p,type,
p: secrecy_specID ).
thf(ty_ine,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(ty_bot_bo1785112429specID,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(ty_subcomponents,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(ty_q,type,
q: secrecy_specID ).
thf(ty_member_Secrecy_KS,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(ty_localSecrets,type,
localSecrets: secrecy_specID > set_Secrecy_KS ).
thf(ty_insert1671894227specID,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(ty_secrecy_sKS,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(ty_secrecy_sE,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(sP1,plain,
( sP1
<=> ( ine @ p @ ( secrecy_sE @ secret ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ pq )
=> ( ~ ( ine @ q @ ( secrecy_sE @ secret ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
=> ( ~ sP2
=> sP1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: secrecy_specID,X2: secrecy_specID] :
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) )
=> ( ( ( subcomponents @ pq )
= ( insert1671894227specID @ X1 @ ( insert1671894227specID @ X2 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ pq )
=> ( ~ ( ine @ X2 @ ( secrecy_sE @ secret ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X1 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X2 ) )
=> ( ine @ X1 @ ( secrecy_sE @ secret ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( correc965049635ionLoc @ pq )
=> ( ~ ( ine @ q @ ( secrecy_sE @ secret ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
=> ( ~ sP2
=> sP1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: secrecy_specID] :
( sP5
=> ( ( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ X1 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ pq )
=> ( ~ ( ine @ X1 @ ( secrecy_sE @ secret ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X1 ) )
=> sP1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ~ ( ine @ q @ ( secrecy_sE @ secret ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
=> ( ~ sP2
=> sP1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP5
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ sP2
=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) )
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ine @ q @ ( secrecy_sE @ secret ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( correc965049635ionLoc @ pq ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ! [X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID] :
( ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X1 ) )
=> ( ( ( subcomponents @ X1 )
= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ X1 )
=> ( ~ ( ine @ X3 @ ( secrecy_sE @ secret ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X2 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ X3 ) )
=> ( ine @ X2 @ ( secrecy_sE @ secret ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: secrecy_Secrets,X2: secrecy_specID,X3: secrecy_specID,X4: secrecy_specID] :
( ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X2 ) )
=> ( ( ( subcomponents @ X2 )
= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X4 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ X2 )
=> ( ~ ( ine @ X4 @ ( secrecy_sE @ X1 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X3 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X4 ) )
=> ( ine @ X3 @ ( secrecy_sE @ X1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(conj_0,conjecture,
~ sP5 ).
thf(h0,negated_conjecture,
sP5,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP11
| sP2
| sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP12
| sP17
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP9
| sP13
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP6
| ~ sP14
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP3
| ~ sP7
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP10
| ~ sP5
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP8
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP4
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP15
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP16
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(fact_13_LocalSecretsComposition__ine1__s,axiom,
sP16 ).
thf(fact_5_subPQ,axiom,
sP7 ).
thf(fact_4_sg2b,axiom,
~ sP2 ).
thf(fact_3_sg1b,axiom,
~ sP17 ).
thf(fact_2_sg2a,axiom,
~ sP13 ).
thf(fact_1_sg1a,axiom,
~ sP1 ).
thf(fact_0_cCompLoc,axiom,
sP14 ).
thf(11,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,h0,fact_13_LocalSecretsComposition__ine1__s,fact_5_subPQ,fact_4_sg2b,fact_3_sg1b,fact_2_sg2a,fact_1_sg1a,fact_0_cCompLoc]) ).
thf(0,theorem,
~ sP5,
inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP089^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 15:33:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 % Mode: cade22sinegrackle2x6978
% 0.19/0.48 % Steps: 1013
% 0.19/0.48 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------