%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV345-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.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 09:01:12 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV345-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:05:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Unsatisfiable % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.v_na $$unsorted) % 0.28/0.55 (declare-const tptp.v_nb $$unsorted) % 0.28/0.55 (declare-const tptp.v_B $$unsorted) % 0.28/0.55 (declare-const tptp.v_Aa $$unsorted) % 0.28/0.55 (declare-const tptp.v_Ba $$unsorted) % 0.28/0.55 (declare-const tptp.v_K $$unsorted) % 0.28/0.55 (declare-const tptp.v_NA $$unsorted) % 0.28/0.55 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.v_X $$unsorted) % 0.28/0.55 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.28/0.55 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.v_A $$unsorted) % 0.28/0.55 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.28/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.28/0.55 (declare-const tptp.v_NB $$unsorted) % 0.28/0.55 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.28/0.55 (declare-const tptp.v_evso $$unsorted) % 0.28/0.55 (define @t1 () (@var "V_nb_H" $$unsorted)) % 0.28/0.55 (define @t2 () (@var "V_nb" $$unsorted)) % 0.28/0.55 (define @t3 () (@var "V_evs" $$unsorted)) % 0.28/0.55 (define @t4 () (tptp.c_List_Oset @t3 tptp.tc_Event_Oevent)) % 0.28/0.55 (define @t5 () (@var "V_X" $$unsorted)) % 0.28/0.55 (define @t6 () (@var "V_na" $$unsorted)) % 0.28/0.55 (define @t7 () (@var "V_K" $$unsorted)) % 0.28/0.55 (define @t8 () (tptp.c_Message_Omsg_OKey @t7)) % 0.28/0.55 (define @t9 () (@var "V_B" $$unsorted)) % 0.28/0.55 (define @t10 () (@var "V_A" $$unsorted)) % 0.28/0.55 (define @t11 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t10 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t10) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t9) (tptp.c_Message_Omsg_OMPair @t8 (tptp.c_Message_Omsg_OMPair @t6 @t2)))) @t5)) @t4 tptp.tc_Event_Oevent))) % 0.28/0.55 (define @t12 () (@var "V_X_H" $$unsorted)) % 0.28/0.55 (define @t13 () (@var "V_na_H" $$unsorted)) % 0.28/0.55 (define @t14 () (@var "V_B_H" $$unsorted)) % 0.28/0.55 (define @t15 () (@var "V_A_H" $$unsorted)) % 0.28/0.55 (define @t16 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t15 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t15) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t14) (tptp.c_Message_Omsg_OMPair @t8 (tptp.c_Message_Omsg_OMPair @t13 @t1)))) @t12)) @t4 tptp.tc_Event_Oevent))) % 0.28/0.55 (define @t17 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.28/0.55 (define @t18 () (not (tptp.c_in @t3 tptp.c_Yahalom_Oyahalom @t17))) % 0.28/0.55 (define @t19 () (or @t18 @t16 @t11 (= @t2 @t1))) % 0.28/0.55 (define @t20 () (@list @t3 @t15 @t14 @t7 @t13 @t1 @t12 @t10 @t9 @t6 @t2 @t5)) % 0.28/0.55 (define @t21 () (forall @t20 @t19)) % 0.28/0.55 (define @t22 () (tptp.c_in tptp.v_evso tptp.c_Yahalom_Oyahalom @t17)) % 0.28/0.55 (define @t23 () (tptp.c_List_Oset tptp.v_evso tptp.tc_Event_Oevent)) % 0.28/0.55 (define @t24 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.28/0.55 (define @t25 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.28/0.55 (define @t26 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.28/0.55 (define @t27 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair @t26 (tptp.c_Message_Omsg_OMPair @t25 @t24)))) tptp.v_X)) @t23 tptp.tc_Event_Oevent)) % 0.28/0.55 (define @t28 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) @t26))) % 0.28/0.55 (define @t29 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair @t26 (tptp.c_Message_Omsg_OMPair tptp.v_na tptp.v_nb)))) @t28)) @t23 tptp.tc_Event_Oevent)) % 0.28/0.55 (define @t30 () (= @t24 tptp.v_nb)) % 0.28/0.55 (define @t31 () (not @t29)) % 0.28/0.55 (define @t32 () (not @t27)) % 0.28/0.55 (define @t33 () (not @t22)) % 0.28/0.55 (define @t34 () (or @t33 @t32 @t31 @t30)) % 0.28/0.55 (define @t35 () (not @t34)) % 0.28/0.55 (define @t36 () (forall @t20 (or @t18 @t16 @t11 (= @t1 @t2)))) % 0.28/0.55 (assume @p1 @t21) % 0.28/0.55 (assume @p2 @t22) % 0.28/0.55 (assume @p3 @t27) % 0.28/0.55 (assume @p4 @t29) % 0.28/0.55 (assume @p5 (not (= tptp.v_nb @t24))) % 0.28/0.55 (step @p6 :rule eq-symm :args (@t2 @t1)) % 0.28/0.55 (step @p7 :rule refl :args (@t11)) % 0.28/0.55 (step @p8 :rule refl :args (@t16)) % 0.28/0.55 (step @p9 :rule refl :args (@t18)) % 0.28/0.55 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7 @p6) :args (@t19)) % 0.28/0.55 (step @p11 :rule cong :premises (@p10) :args (@t21)) % 0.28/0.55 (step @p12 :rule eq_resolve :premises (@p1 @p11)) % 0.28/0.55 (step @p13 :rule symm :premises (@p5)) % 0.28/0.55 (step @p14 :rule cnf_or_pos :args (@t34)) % 0.28/0.55 (step @p15 :rule reordering :premises (@p14) :args ((or @t30 @t33 @t32 @t31 @t35))) % 0.28/0.55 (step @p16 :rule chain_m_resolution :premises (@p15 @p13 @p2 @p3 @p4) :args (@t35 (@list true false false false) (@list @t30 @t22 @t27 @t29))) % 0.28/0.55 (assume-push @p23 @t36) % 0.28/0.55 (step @p18 :rule instantiate :premises (@p12) :args ((@list tptp.v_evso tptp.v_Aa tptp.v_Ba tptp.v_K @t25 @t24 tptp.v_X tptp.v_A tptp.v_B tptp.v_na tptp.v_nb @t28))) % 0.28/0.55 (step-pop @p24 :rule scope :premises (@p18)) % 0.28/0.55 (step @p19 :rule process_scope :premises (@p24) :args (@t34)) % 0.28/0.55 (step @p21 :rule implies_elim :premises (@p19)) % 0.28/0.55 (step @p22 false :rule chain_m_resolution :premises (@p21 @p16 @p12) :args (false (@list true false) (@list @t34 @t36))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.33/0.55 % cvc5 exiting %------------------------------------------------------------------------------