TSTP Solution File: SWV237+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV237+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 18:44:35 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 104 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 124 ( 61 ~; 54 |; 4 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f686,plain,
$false,
inference(avatar_sat_refutation,[],[f109,f117,f145,f683]) ).
fof(f683,plain,
( ~ spl1_3
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl1_3
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f677,f74]) ).
fof(f74,plain,
p(a),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_8) ).
fof(f677,plain,
( ~ p(a)
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f676,f108]) ).
fof(f108,plain,
( ! [X1] :
( p(enc(tc,X1))
| ~ p(X1) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl1_3
<=> ! [X1] :
( p(enc(tc,X1))
| ~ p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f676,plain,
( ~ p(enc(tc,a))
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f675,f98]) ).
fof(f98,plain,
~ p(sF0),
inference(definition_folding,[],[f96,f97]) ).
fof(f97,plain,
enc(pp,a) = sF0,
introduced(function_definition,[]) ).
fof(f96,plain,
~ p(enc(pp,a)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
~ p(enc(pp,a)),
inference(flattening,[],[f26]) ).
fof(f26,negated_conjecture,
~ p(enc(pp,a)),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
p(enc(pp,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f675,plain,
( p(sF0)
| ~ p(enc(tc,a))
| ~ spl1_5 ),
inference(subsumption_resolution,[],[f671,f80]) ).
fof(f80,plain,
p(enc(tmk,pp)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
p(enc(tmk,pp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intruder_knows_1) ).
fof(f671,plain,
( ~ p(enc(tmk,pp))
| p(sF0)
| ~ p(enc(tc,a))
| ~ spl1_5 ),
inference(superposition,[],[f592,f97]) ).
fof(f592,plain,
( ! [X0,X1] :
( p(enc(X1,X0))
| ~ p(enc(tmk,X1))
| ~ p(enc(tc,X0)) )
| ~ spl1_5 ),
inference(superposition,[],[f265,f95]) ).
fof(f95,plain,
! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : enc(i(X0),enc(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',enc_dec_cancel) ).
fof(f265,plain,
( ! [X0,X1] :
( p(enc(X0,enc(i(tc),X1)))
| ~ p(X1)
| ~ p(enc(tmk,X0)) )
| ~ spl1_5 ),
inference(superposition,[],[f116,f95]) ).
fof(f116,plain,
( ! [X0,X1] :
( p(enc(enc(i(tmk),X0),enc(i(tc),X1)))
| ~ p(X0)
| ~ p(X1) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl1_5
<=> ! [X0,X1] :
( p(enc(enc(i(tmk),X0),enc(i(tc),X1)))
| ~ p(X1)
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f145,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f142,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f104,f74]) ).
fof(f104,plain,
( ! [X2] : ~ p(X2)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl1_2
<=> ! [X2] : ~ p(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f117,plain,
( spl1_2
| spl1_5 ),
inference(avatar_split_clause,[],[f75,f115,f103]) ).
fof(f75,plain,
! [X2,X0,X1] :
( p(enc(enc(i(tmk),X0),enc(i(tc),X1)))
| ~ p(X2)
| ~ p(X0)
| ~ p(X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p(X2)
| p(enc(enc(i(tmk),X0),enc(i(tc),X1)))
| ~ p(X1)
| ~ p(X0) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0,X2] :
( ~ p(X2)
| p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X0)
| ~ p(X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( p(enc(enc(i(tmk),X1),enc(i(tc),X0)))
| ~ p(X1)
| ~ p(X0)
| ~ p(X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X2,X1] :
( ( p(X1)
& p(X0)
& p(X2) )
=> p(enc(enc(i(tmk),X1),enc(i(tc),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encrypt_a_stored_comms_key) ).
fof(f109,plain,
( spl1_3
| spl1_2
| spl1_2 ),
inference(avatar_split_clause,[],[f81,f103,f103,f107]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ p(X0)
| ~ p(X2)
| p(enc(tc,X1))
| ~ p(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ p(X2)
| p(enc(tc,X1))
| ~ p(X1)
| ~ p(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0,X2] :
( ~ p(X2)
| p(enc(tc,X0))
| ~ p(X0)
| ~ p(X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( p(enc(tc,X0))
| ~ p(X2)
| ~ p(X1)
| ~ p(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ( p(X2)
& p(X1)
& p(X0) )
=> p(enc(tc,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',encrypt_clear_key_as_Tcomms_key) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV237+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.35 % Computer : n028.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 30 19:17:04 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.55 % (8695)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.56 % (8695)First to succeed.
% 0.20/0.56 % (8695)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (8695)------------------------------
% 0.20/0.56 % (8695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (8695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (8695)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (8695)Memory used [KB]: 6268
% 0.20/0.56 % (8695)Time elapsed: 0.128 s
% 0.20/0.56 % (8695)Instructions burned: 19 (million)
% 0.20/0.56 % (8695)------------------------------
% 0.20/0.56 % (8695)------------------------------
% 0.20/0.56 % (8694)Success in time 0.202 s
%------------------------------------------------------------------------------