%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV010-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:49:55 PM UTC 2026
% Result : Satisfiable 0.08s 0.38s
% Output : Saturation 0.08s
% Verified :
% SZS Type : Derivation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 4 usr; 0 prp; 1-1 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-4 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
a_stored(pair(b,an_a_nonce)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,E,F,C,B,D] :
( ~ message(sent(t,a,triple(encrypt(quadruple(A,B,C,D),at),E,F)))
| ~ a_stored(pair(A,B))
| message(sent(a,A,pair(E,encrypt(F,C)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
fresh_to_b(an_a_nonce),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B,A] :
( ~ message(sent(A,b,pair(A,B)))
| ~ fresh_to_b(B)
| message(sent(b,t,triple(b,generate_b_nonce(B),encrypt(triple(A,B,generate_expiration_time(B)),bt)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
t_holds(key(at,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
t_holds(key(bt,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [C,A,D,E,G,F,B] :
( ~ t_holds(key(F,A))
| ~ t_holds(key(G,C))
| ~ message(sent(A,t,triple(A,B,encrypt(triple(C,D,E),F))))
| message(sent(t,C,triple(encrypt(quadruple(A,D,generate_key(D),E),G),encrypt(triple(C,generate_key(D),E),F),B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
message(sent(a,b,pair(a,an_a_nonce))),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
a_stored(pair(b,an_a_nonce)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
! [A,E,F,C,B] :
( ! [D] : ~ message(sent(t,a,triple(encrypt(quadruple(A,B,C,D),at),E,F)))
| ~ a_stored(pair(A,B))
| message(sent(a,A,pair(E,encrypt(F,C)))) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ message(sent(t,a,triple(encrypt(quadruple(X0,X4,X3,X5),at),X1,X2)))
| ~ a_stored(pair(X0,X4))
| message(sent(a,X0,pair(X1,encrypt(X2,X3)))) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
fresh_to_b(an_a_nonce),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ~ message(sent(X1,b,pair(X1,X0)))
| ~ fresh_to_b(X0)
| message(sent(b,t,triple(b,generate_b_nonce(X0),encrypt(triple(X1,X0,generate_expiration_time(X0)),bt)))) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
t_holds(key(at,a)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
t_holds(key(bt,b)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [A,F] :
( ~ t_holds(key(F,A))
| ! [C,G] :
( ~ t_holds(key(G,C))
| ! [D,E,B] :
( ~ message(sent(A,t,triple(A,B,encrypt(triple(C,D,E),F))))
| message(sent(t,C,triple(encrypt(quadruple(A,D,generate_key(D),E),G),encrypt(triple(C,generate_key(D),E),F),B))) ) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ t_holds(key(X5,X1))
| ~ t_holds(key(X4,X0))
| ~ message(sent(X1,t,triple(X1,X6,encrypt(triple(X0,X2,X3),X5))))
| message(sent(t,X0,triple(encrypt(quadruple(X1,X2,generate_key(X2),X3),X4),encrypt(triple(X0,generate_key(X2),X3),X5),X6))) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
( ~ fresh_to_b(an_a_nonce)
| message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))) ),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f20,plain,
message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))),
inference(forward_subsumption_resolution,[status(thm)],[f19,f13]) ).
fof(f21,plain,
! [X0] :
( ~ t_holds(key(bt,b))
| ~ t_holds(key(X0,a))
| message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X0),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))) ),
inference(resolution,[status(thm)],[f20,f18]) ).
fof(f22,plain,
! [X0] :
( ~ t_holds(key(X0,a))
| message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X0),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f21,f16]) ).
fof(f23,plain,
message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce)))),
inference(resolution,[status(thm)],[f22,f15]) ).
fof(f24,plain,
( ~ a_stored(pair(b,an_a_nonce))
| message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))) ),
inference(resolution,[status(thm)],[f23,f12]) ).
fof(f25,plain,
message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))),
inference(forward_subsumption_resolution,[status(thm)],[f24,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV010-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:29:36 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.08/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.08/0.39 % Elapsed time: 0.030480 seconds
% 0.08/0.39 % CPU time: 0.078997 seconds
% 0.08/0.39 % Total memory used: 1.635 MB
% 0.08/0.39 % Net memory used: 1.588 MB
%------------------------------------------------------------------------------