%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV011+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 Jun 3 09:00:19 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV011+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:52:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.quadruple (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.encrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.t_holds (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.fresh_to_b (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.b_holds (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.a_stored (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.at $$unsorted) % 0.39/0.56 (declare-const tptp.key (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.b_stored (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.party_of_protocol (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.b $$unsorted) % 0.39/0.56 (declare-const tptp.generate_key (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.t $$unsorted) % 0.39/0.56 (declare-const tptp.a $$unsorted) % 0.39/0.56 (declare-const tptp.generate_expiration_time (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.a_holds (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.an_a_nonce $$unsorted) % 0.39/0.56 (declare-const tptp.triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.generate_b_nonce (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.sent (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.message (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.bt $$unsorted) % 0.39/0.56 (define @t1 () (tptp.pair tptp.a tptp.an_a_nonce)) % 0.39/0.56 (define @t2 () (tptp.generate_key tptp.an_a_nonce)) % 0.39/0.56 (define @t3 () (tptp.b_holds (tptp.key @t2 tptp.a))) % 0.39/0.56 (define @t4 () (tptp.generate_b_nonce tptp.an_a_nonce)) % 0.39/0.56 (define @t5 () (tptp.generate_expiration_time tptp.an_a_nonce)) % 0.39/0.56 (define @t6 () (tptp.encrypt (tptp.triple tptp.a @t2 @t5) tptp.bt)) % 0.39/0.56 (define @t7 () (tptp.a_holds (tptp.key @t2 tptp.b))) % 0.39/0.56 (define @t8 () (@var "U" $$unsorted)) % 0.39/0.56 (define @t9 () (tptp.b_holds (tptp.key @t8 tptp.a))) % 0.39/0.56 (define @t10 () (tptp.a_holds (tptp.key @t8 tptp.b))) % 0.39/0.56 (define @t11 () (and @t10 @t9)) % 0.39/0.56 (define @t12 () (@list @t8)) % 0.39/0.56 (define @t13 () (exists @t12 @t11)) % 0.39/0.56 (define @t14 () (not @t13)) % 0.39/0.56 (define @t15 () (forall @t12 (or (not @t10) (not @t9)))) % 0.39/0.56 (define @t16 () (forall @t12 (not @t11))) % 0.39/0.56 (define @t17 () (not @t16)) % 0.39/0.56 (define @t18 () (not @t3)) % 0.39/0.56 (define @t19 () (not @t7)) % 0.39/0.56 (define @t20 () (or @t19 @t18)) % 0.39/0.56 (define @t21 () (not @t20)) % 0.39/0.56 (assume @p1 (tptp.a_holds (tptp.key tptp.at tptp.t))) % 0.39/0.56 (assume @p2 (tptp.party_of_protocol tptp.a)) % 0.39/0.56 (assume @p3 (tptp.message (tptp.sent tptp.a tptp.b @t1))) % 0.39/0.56 (assume @p4 (tptp.a_stored (tptp.pair tptp.b tptp.an_a_nonce))) % 0.39/0.56 (assume @p5 (tptp.b_holds (tptp.key tptp.bt tptp.t))) % 0.39/0.56 (assume @p6 (tptp.party_of_protocol tptp.b)) % 0.39/0.56 (assume @p7 (tptp.fresh_to_b tptp.an_a_nonce)) % 0.39/0.56 (assume @p8 (tptp.t_holds (tptp.key tptp.at tptp.a))) % 0.39/0.56 (assume @p9 (tptp.t_holds (tptp.key tptp.bt tptp.b))) % 0.39/0.56 (assume @p10 (tptp.party_of_protocol tptp.t)) % 0.39/0.56 (assume @p11 @t3) % 0.39/0.56 (assume @p12 (tptp.message (tptp.sent tptp.a tptp.b (tptp.pair @t6 (tptp.encrypt @t4 @t2))))) % 0.39/0.56 (assume @p13 @t7) % 0.39/0.56 (assume @p14 (tptp.message (tptp.sent tptp.t tptp.a (tptp.triple (tptp.encrypt (tptp.quadruple tptp.b tptp.an_a_nonce @t2 @t5) tptp.at) @t6 @t4)))) % 0.39/0.56 (assume @p15 (tptp.message (tptp.sent tptp.b tptp.t (tptp.triple tptp.b @t4 (tptp.encrypt (tptp.triple tptp.a tptp.an_a_nonce @t5) tptp.bt))))) % 0.39/0.56 (assume @p16 (tptp.b_stored @t1)) % 0.39/0.56 (assume @p17 @t14) % 0.39/0.56 (assume @p18 true) % 0.39/0.56 (step @p19 :rule bool-double-not-elim :args (@t15)) % 0.39/0.56 (step @p20 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.39/0.56 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.39/0.56 (step @p23 :rule exists-elim :args ((= @t13 @t17))) % 0.39/0.56 (step @p24 :rule trans :premises (@p23 @p22)) % 0.39/0.56 (step @p25 :rule cong :premises (@p24) :args (@t14)) % 0.39/0.56 (step @p26 :rule trans :premises (@p25 @p19)) % 0.39/0.56 (step @p27 :rule eq_resolve :premises (@p17 @p26)) % 0.39/0.56 (step @p28 :rule cnf_or_pos :args (@t20)) % 0.39/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t18 @t19 @t21))) % 0.39/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p11 @p13) :args (@t21 (@list false false) (@list @t3 @t7))) % 0.39/0.56 (assume-push @p37 @t15) % 0.39/0.56 (step @p32 :rule instantiate :premises (@p27) :args ((@list @t2))) % 0.39/0.57 (step-pop @p38 :rule scope :premises (@p32)) % 0.39/0.57 (step @p33 :rule process_scope :premises (@p38) :args (@t20)) % 0.39/0.57 (step @p35 :rule implies_elim :premises (@p33)) % 0.39/0.57 (step @p36 false :rule chain_m_resolution :premises (@p35 @p30 @p27) :args (false (@list true false) (@list @t20 @t15))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------