%------------------------------------------------------------------------------
% 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 : n003.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 0.10s 0.38s
% Output : Saturation 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
a_holds(key(at,t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
party_of_protocol(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
a_stored(pair(b,an_a_nonce)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [U,V,W,X,Y,Z] :
( ( a_stored(pair(Y,Z))
& message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U))) )
=> ( a_holds(key(W,Y))
& message(sent(a,Y,pair(X,encrypt(U,W)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
b_holds(key(bt,t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
party_of_protocol(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
fresh_to_b(an_a_nonce),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [U,V] :
( ( fresh_to_b(V)
& message(sent(U,b,pair(U,V))) )
=> ( b_stored(pair(U,V))
& message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V,X,Y] :
( ( b_stored(pair(X,Y))
& message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V)))) )
=> b_holds(key(V,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
t_holds(key(at,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
t_holds(key(bt,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
party_of_protocol(t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [U,V,W,X,Y,Z,X1] :
( ( t_holds(key(X1,W))
& t_holds(key(Z,U))
& message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z)))) )
=> message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
a_holds(key(at,t)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
party_of_protocol(a),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
message(sent(a,b,pair(a,an_a_nonce))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
a_stored(pair(b,an_a_nonce)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [U,V,W,X,Y,Z] :
( ( a_holds(key(W,Y))
& message(sent(a,Y,pair(X,encrypt(U,W)))) )
| ~ a_stored(pair(Y,Z))
| ~ message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U))) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
! [U,W,X,Y] :
( ( a_holds(key(W,Y))
& message(sent(a,Y,pair(X,encrypt(U,W)))) )
| ! [Z] :
( ~ a_stored(pair(Y,Z))
| ! [V] : ~ message(sent(t,a,triple(encrypt(quadruple(Y,Z,W,V),at),X,U))) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5] :
( message(sent(a,X0,pair(X4,encrypt(X5,X2))))
| ~ a_stored(pair(X0,X1))
| ~ message(sent(t,a,triple(encrypt(quadruple(X0,X1,X2,X3),at),X4,X5))) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] :
( a_holds(key(X2,X0))
| ~ a_stored(pair(X0,X1))
| ~ message(sent(t,a,triple(encrypt(quadruple(X0,X1,X2,X3),at),X4,X5))) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f23,plain,
b_holds(key(bt,t)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f24,plain,
party_of_protocol(b),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
fresh_to_b(an_a_nonce),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [U,V] :
( ( b_stored(pair(U,V))
& message(sent(b,t,triple(b,generate_b_nonce(V),encrypt(triple(U,V,generate_expiration_time(V)),bt)))) )
| ~ fresh_to_b(V)
| ~ message(sent(U,b,pair(U,V))) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt))))
| ~ fresh_to_b(X1)
| ~ message(sent(X0,b,pair(X0,X1))) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( b_stored(pair(X0,X1))
| ~ fresh_to_b(X1)
| ~ message(sent(X0,b,pair(X0,X1))) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f29,plain,
! [V,X,Y] :
( b_holds(key(V,X))
| ~ b_stored(pair(X,Y))
| ~ message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V)))) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
! [V,X] :
( b_holds(key(V,X))
| ! [Y] :
( ~ b_stored(pair(X,Y))
| ~ message(sent(X,b,pair(encrypt(triple(X,V,generate_expiration_time(Y)),bt),encrypt(generate_b_nonce(Y),V)))) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( b_holds(key(X1,X0))
| ~ b_stored(pair(X0,X2))
| ~ message(sent(X0,b,pair(encrypt(triple(X0,X1,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X1)))) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
t_holds(key(at,a)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
t_holds(key(bt,b)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f34,plain,
party_of_protocol(t),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
! [U,V,W,X,Y,Z,X1] :
( message(sent(t,W,triple(encrypt(quadruple(U,X,generate_key(X),Y),X1),encrypt(triple(W,generate_key(X),Y),Z),V)))
| ~ t_holds(key(X1,W))
| ~ t_holds(key(Z,U))
| ~ message(sent(U,t,triple(U,V,encrypt(triple(W,X,Y),Z)))) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1)))
| ~ t_holds(key(X6,X2))
| ~ t_holds(key(X5,X0))
| ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5)))) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( message(sent(a,b,pair(X2,encrypt(X3,X0))))
| ~ message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X0,X1),at),X2,X3))) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f38,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))))
| ~ fresh_to_b(an_a_nonce) ),
inference(resolution,[status(thm)],[f27,f17]) ).
fof(f39,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)],[f38,f25]) ).
fof(f40,plain,
( b_stored(pair(a,an_a_nonce))
| ~ fresh_to_b(an_a_nonce) ),
inference(resolution,[status(thm)],[f28,f17]) ).
fof(f41,plain,
b_stored(pair(a,an_a_nonce)),
inference(forward_subsumption_resolution,[status(thm)],[f40,f25]) ).
fof(f42,plain,
! [X0] :
( b_holds(key(X0,a))
| ~ message(sent(a,b,pair(encrypt(triple(a,X0,generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),X0)))) ),
inference(resolution,[status(thm)],[f41,f31]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( message(sent(t,b,triple(encrypt(quadruple(X0,X2,generate_key(X2),X3),bt),encrypt(triple(b,generate_key(X2),X3),X4),X1)))
| ~ t_holds(key(X4,X0))
| ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(b,X2,X3),X4)))) ),
inference(resolution,[status(thm)],[f36,f33]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] :
( message(sent(t,a,triple(encrypt(quadruple(X0,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),X4),X1)))
| ~ t_holds(key(X4,X0))
| ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(a,X2,X3),X4)))) ),
inference(resolution,[status(thm)],[f36,f32]) ).
fof(f45,plain,
! [X0,X1,X2] :
( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X0)))
| ~ message(sent(b,t,triple(b,X0,encrypt(triple(b,X1,X2),bt)))) ),
inference(resolution,[status(thm)],[f43,f33]) ).
fof(f46,plain,
! [X0,X1,X2] :
( message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X0)))
| ~ message(sent(a,t,triple(a,X0,encrypt(triple(b,X1,X2),at)))) ),
inference(resolution,[status(thm)],[f43,f32]) ).
fof(f47,plain,
! [X0,X1,X2] :
( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X0)))
| ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,X1,X2),bt)))) ),
inference(resolution,[status(thm)],[f44,f33]) ).
fof(f48,plain,
! [X0,X1,X2] :
( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X0)))
| ~ message(sent(a,t,triple(a,X0,encrypt(triple(a,X1,X2),at)))) ),
inference(resolution,[status(thm)],[f44,f32]) ).
fof(f49,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)],[f47,f39]) ).
fof(f50,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(resolution,[status(thm)],[f49,f37]) ).
fof(f51,plain,
( a_holds(key(generate_key(an_a_nonce),b))
| ~ a_stored(pair(b,an_a_nonce)) ),
inference(resolution,[status(thm)],[f49,f22]) ).
fof(f52,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(forward_subsumption_resolution,[status(thm)],[f51,f18]) ).
fof(f53,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(resolution,[status(thm)],[f50,f42]) ).
%------------------------------------------------------------------------------
%----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
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:28:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.10/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.10/0.40 % Elapsed time: 0.027090 seconds
% 0.10/0.40 % CPU time: 0.077341 seconds
% 0.10/0.40 % Total memory used: 1.949 MB
% 0.10/0.40 % Net memory used: 1.933 MB
%------------------------------------------------------------------------------