%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV010-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 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 : Tue May 5 05:20:35 PM UTC 2026
% Result : Satisfiable 1.26s 1.72s
% Output : Saturation 1.26s
% Verified :
% SZS Type : Derivation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 34 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 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 : 31 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_creates_freash_nonces_in_time_10,axiom,
( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
| ~ fresh_to_b(X1)
| ~ message(sent(X2,b,pair(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_creates_freash_nonces_in_time_10) ).
cnf(a_sent_message_i_to_b_3,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_sent_message_i_to_b_3) ).
cnf(nonce_a_is_fresh_to_b_9,axiom,
fresh_to_b(an_a_nonce),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonce_a_is_fresh_to_b_9) ).
cnf(server_t_generates_key_16,axiom,
( message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))
| ~ message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6))))
| ~ t_holds(key(X5,X1))
| ~ t_holds(key(X6,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',server_t_generates_key_16) ).
cnf(t_holds_key_bt_for_b_14,axiom,
t_holds(key(bt,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_bt_for_b_14) ).
cnf(a_forwards_secure_5,axiom,
( message(sent(a,X1,pair(X2,encrypt(X3,X4))))
| ~ a_stored(pair(X1,X5))
| ~ message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_forwards_secure_5) ).
cnf(a_stored_message_i_4,axiom,
a_stored(pair(b,an_a_nonce)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_stored_message_i_4) ).
cnf(t_holds_key_at_for_a_13,axiom,
t_holds(key(at,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_holds_key_at_for_a_13) ).
cnf(c_0_8,axiom,
( message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X2,X1,generate_expiration_time(X1)),bt))))
| ~ fresh_to_b(X1)
| ~ message(sent(X2,b,pair(X2,X1))) ),
b_creates_freash_nonces_in_time_10,
[final] ).
cnf(c_0_9,axiom,
message(sent(a,b,pair(a,an_a_nonce))),
a_sent_message_i_to_b_3,
[final] ).
cnf(c_0_10,axiom,
fresh_to_b(an_a_nonce),
nonce_a_is_fresh_to_b_9,
[final] ).
cnf(c_0_11,axiom,
( message(sent(t,X1,triple(encrypt(quadruple(X2,X3,generate_key(X3),X4),X5),encrypt(triple(X1,generate_key(X3),X4),X6),X7)))
| ~ message(sent(X2,t,triple(X2,X7,encrypt(triple(X1,X3,X4),X6))))
| ~ t_holds(key(X5,X1))
| ~ t_holds(key(X6,X2)) ),
server_t_generates_key_16,
[final] ).
cnf(c_0_12,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]),
[final] ).
cnf(c_0_13,axiom,
t_holds(key(bt,b)),
t_holds_key_bt_for_b_14,
[final] ).
cnf(c_0_14,axiom,
( message(sent(a,X1,pair(X2,encrypt(X3,X4))))
| ~ a_stored(pair(X1,X5))
| ~ message(sent(t,a,triple(encrypt(quadruple(X1,X5,X4,X6),at),X2,X3))) ),
a_forwards_secure_5,
[final] ).
cnf(c_0_15,plain,
( message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),X1),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))))
| ~ t_holds(key(X1,a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[final] ).
cnf(c_0_16,axiom,
a_stored(pair(b,an_a_nonce)),
a_stored_message_i_4,
[final] ).
cnf(c_0_17,axiom,
t_holds(key(at,a)),
t_holds_key_at_for_a_13,
[final] ).
cnf(c_0_18,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV010-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n028.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 04:53:46 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start Saturation
% See solution above
% 1.26/1.72 % Total time : 1.374s
%------------------------------------------------------------------------------