%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV353-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:01:14 AM UTC 2026 % Result : Unsatisfiable 0.27s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV353-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:05:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.27/0.55 % SZS status Unsatisfiable % 0.27/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.37/0.55 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.55 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.v_B $$unsorted) % 0.37/0.55 (declare-const tptp.v_Aa $$unsorted) % 0.37/0.55 (declare-const tptp.v_NA $$unsorted) % 0.37/0.55 (declare-const tptp.v_Ba $$unsorted) % 0.37/0.55 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.37/0.55 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.37/0.55 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.v_A $$unsorted) % 0.37/0.55 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.37/0.55 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.v_evso $$unsorted) % 0.37/0.55 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.v_X $$unsorted) % 0.37/0.55 (declare-const tptp.v_NB $$unsorted) % 0.37/0.55 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.v_NAa $$unsorted) % 0.37/0.55 (declare-const tptp.v_K $$unsorted) % 0.37/0.55 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.37/0.55 (define @t1 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.37/0.55 (define @t2 () (tptp.c_in tptp.v_evso tptp.c_Yahalom_Oyahalom @t1)) % 0.37/0.55 (define @t3 () (tptp.c_List_Oset tptp.v_evso tptp.tc_Event_Oevent)) % 0.37/0.55 (define @t4 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.37/0.55 (define @t5 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.37/0.55 (define @t6 () (tptp.c_Message_Omsg_OMPair @t5 @t4)) % 0.37/0.55 (define @t7 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.37/0.55 (define @t8 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.37/0.55 (define @t9 () (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 @t8 (tptp.c_Message_Omsg_OMPair @t7 @t6))) tptp.v_X)) @t3 tptp.tc_Event_Oevent)) % 0.37/0.55 (define @t10 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.37/0.55 (define @t11 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t10 (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) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NA) @t4))))) @t3 tptp.tc_Event_Oevent)) % 0.37/0.55 (define @t12 () (tptp.c_in @t4 (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evso)) tptp.tc_Message_Omsg)) % 0.37/0.55 (define @t13 () (not (= tptp.v_NA tptp.v_NAa))) % 0.37/0.55 (define @t14 () (@var "V_U" $$unsorted)) % 0.37/0.55 (define @t15 () (not (= @t14 @t7))) % 0.37/0.55 (define @t16 () (or @t15 @t13)) % 0.37/0.55 (define @t17 () (@list @t14)) % 0.37/0.55 (define @t18 () (forall @t17 @t16)) % 0.37/0.55 (define @t19 () (@var "V_evs" $$unsorted)) % 0.37/0.55 (define @t20 () (tptp.c_List_Oset @t19 tptp.tc_Event_Oevent)) % 0.37/0.55 (define @t21 () (@var "V_nb" $$unsorted)) % 0.37/0.55 (define @t22 () (@var "V_na" $$unsorted)) % 0.37/0.55 (define @t23 () (tptp.c_Message_Omsg_OMPair @t22 @t21)) % 0.37/0.55 (define @t24 () (@var "V_A" $$unsorted)) % 0.37/0.55 (define @t25 () (tptp.c_Message_Omsg_OAgent @t24)) % 0.37/0.55 (define @t26 () (@var "V_B" $$unsorted)) % 0.37/0.55 (define @t27 () (tptp.c_Public_OshrK @t26)) % 0.37/0.55 (define @t28 () (tptp.c_Message_Omsg_OAgent @t26)) % 0.37/0.55 (define @t29 () (@var "V_X" $$unsorted)) % 0.37/0.55 (define @t30 () (@var "V_k" $$unsorted)) % 0.37/0.55 (define @t31 () (not (tptp.c_in @t19 tptp.c_Yahalom_Oyahalom @t1))) % 0.37/0.55 (define @t32 () (@var "V_NA" $$unsorted)) % 0.37/0.55 (define @t33 () (@var "V_NA_H" $$unsorted)) % 0.37/0.55 (define @t34 () (@var "V_S" $$unsorted)) % 0.37/0.55 (define @t35 () (@var "V_C" $$unsorted)) % 0.37/0.55 (define @t36 () (@var "V_A_H" $$unsorted)) % 0.37/0.55 (define @t37 () (@var "V_B_H" $$unsorted)) % 0.37/0.55 (define @t38 () (@var "V_X_H" $$unsorted)) % 0.37/0.55 (define @t39 () (@var "V_S_H" $$unsorted)) % 0.37/0.55 (define @t40 () (forall (@list @t19 @t39 @t38 @t37 @t36 @t33 @t21 @t35 @t34 @t29 @t26 @t24 @t32) (or @t31 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t39 (tptp.c_Message_Omsg_OMPair @t38 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t37) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t36) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce @t33) @t21))))) @t20 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t35 @t34 (tptp.c_Message_Omsg_OMPair @t29 (tptp.c_Message_Omsg_OCrypt @t27 (tptp.c_Message_Omsg_OMPair @t25 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce @t32) @t21))))) @t20 tptp.tc_Event_Oevent)) (tptp.c_in @t21 (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t19)) tptp.tc_Message_Omsg) (= @t33 @t32)))) % 0.37/0.55 (define @t41 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t8 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Aa) @t6)))) @t3 tptp.tc_Event_Oevent)) % 0.37/0.55 (define @t42 () (not @t9)) % 0.37/0.55 (define @t43 () (not @t2)) % 0.37/0.55 (define @t44 () (or @t43 @t42 @t41)) % 0.37/0.55 (define @t45 () (= tptp.v_NAa tptp.v_NA)) % 0.37/0.55 (define @t46 () (not @t45)) % 0.37/0.55 (define @t47 () (not (= @t7 @t7))) % 0.37/0.55 (define @t48 () (not (= @t7 @t14))) % 0.37/0.55 (define @t49 () (or @t48 @t48)) % 0.37/0.55 (define @t50 () (forall @t17 @t48)) % 0.37/0.55 (define @t51 () (or @t46 @t50)) % 0.37/0.55 (define @t52 () (or @t46 @t48)) % 0.37/0.55 (define @t53 () (or @t48 @t46)) % 0.37/0.55 (define @t54 () (not @t11)) % 0.37/0.55 (define @t55 () (not @t41)) % 0.37/0.55 (define @t56 () (or @t43 @t55 @t54 @t12 @t45)) % 0.37/0.55 (define @t57 () (not @t56)) % 0.37/0.55 (assume @p1 @t2) % 0.37/0.55 (assume @p2 @t9) % 0.37/0.55 (assume @p3 @t11) % 0.37/0.55 (assume @p4 (not @t12)) % 0.37/0.55 (assume @p5 @t18) % 0.37/0.55 (assume @p6 (forall (@list @t19 @t24 @t26 @t30 @t22 @t21 @t29) (or @t31 (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t24 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t24) (tptp.c_Message_Omsg_OMPair @t28 (tptp.c_Message_Omsg_OMPair @t30 @t23))) @t29)) @t20 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t28 (tptp.c_Message_Omsg_OCrypt @t27 (tptp.c_Message_Omsg_OMPair @t25 @t23)))) @t20 tptp.tc_Event_Oevent)))) % 0.37/0.55 (assume @p7 @t40) % 0.37/0.55 (step @p8 :rule instantiate :premises (@p6) :args ((@list tptp.v_evso tptp.v_Aa tptp.v_Ba @t7 @t5 @t4 tptp.v_X))) % 0.37/0.55 (step @p9 :rule cnf_or_pos :args (@t44)) % 0.37/0.55 (step @p10 :rule reordering :premises (@p9) :args ((or @t43 @t42 @t41 (not @t44)))) % 0.37/0.55 (step @p11 :rule chain_m_resolution :premises (@p10 @p1 @p2 @p8) :args (@t41 (@list false false false) (@list @t2 @t9 @t44))) % 0.37/0.55 (step @p12 :rule aci_norm :args ((= (or @t46 false) @t46))) % 0.37/0.55 (step @p13 :rule evaluate :args ((not true))) % 0.37/0.55 (step @p14 :rule eq-refl :args (@t7)) % 0.37/0.55 (step @p15 :rule cong :premises (@p14) :args (@t47)) % 0.37/0.55 (step @p16 :rule trans :premises (@p15 @p13)) % 0.37/0.55 (step @p17 :rule quant-var-elim-eq :args ((= (forall @t17 (or @t15 @t48)) @t47))) % 0.37/0.55 (step @p18 :rule refl :args (@t48)) % 0.37/0.55 (step @p19 :rule eq-symm :args (@t7 @t14)) % 0.37/0.55 (step @p20 :rule cong :premises (@p19) :args (@t48)) % 0.37/0.55 (step @p21 :rule nary_cong :premises (@p20 @p18) :args (@t49)) % 0.37/0.55 (step @p22 :rule aci_norm :args ((= @t48 @t49))) % 0.37/0.55 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.55 (step @p24 :rule cong :premises (@p23) :args (@t50)) % 0.37/0.55 (step @p25 :rule trans :premises (@p24 @p17)) % 0.37/0.55 (step @p26 :rule trans :premises (@p25 @p16)) % 0.37/0.55 (step @p27 :rule refl :args (@t46)) % 0.37/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args (@t51)) % 0.37/0.55 (step @p29 :rule trans :premises (@p28 @p12)) % 0.37/0.55 (step @p30 :rule quant-miniscope-or :args ((= (forall @t17 @t52) @t51))) % 0.37/0.55 (step @p31 :rule aci_norm :args ((= @t53 @t52))) % 0.37/0.55 (step @p32 :rule cong :premises (@p31) :args ((forall @t17 @t53))) % 0.37/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.37/0.55 (step @p34 :rule trans :premises (@p33 @p29)) % 0.37/0.55 (step @p35 :rule eq-symm :args (tptp.v_NA tptp.v_NAa)) % 0.37/0.55 (step @p36 :rule cong :premises (@p35) :args (@t13)) % 0.37/0.55 (step @p37 :rule eq-symm :args (@t14 @t7)) % 0.37/0.55 (step @p38 :rule cong :premises (@p37) :args (@t15)) % 0.37/0.55 (step @p39 :rule nary_cong :premises (@p38 @p36) :args (@t16)) % 0.37/0.55 (step @p40 :rule cong :premises (@p39) :args (@t18)) % 0.37/0.55 (step @p41 :rule trans :premises (@p40 @p34)) % 0.37/0.55 (step @p42 :rule eq_resolve :premises (@p5 @p41)) % 0.37/0.55 (step @p43 :rule cnf_or_pos :args (@t56)) % 0.37/0.55 (step @p44 :rule reordering :premises (@p43) :args ((or @t12 @t45 @t43 @t54 @t55 @t57))) % 0.37/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p4 @p42 @p1 @p3 @p11) :args (@t57 (@list true true false false false) (@list @t12 @t45 @t2 @t11 @t41))) % 0.37/0.55 (assume-push @p52 @t40) % 0.37/0.55 (step @p47 :rule instantiate :premises (@p7) :args ((@list tptp.v_evso tptp.c_Message_Oagent_OServer @t8 tptp.v_Ba tptp.v_Aa tptp.v_NAa @t4 tptp.v_B tptp.c_Message_Oagent_OServer @t10 tptp.v_B tptp.v_A tptp.v_NA))) % 0.37/0.55 (step-pop @p53 :rule scope :premises (@p47)) % 0.37/0.55 (step @p48 :rule process_scope :premises (@p53) :args (@t56)) % 0.37/0.55 (step @p50 :rule implies_elim :premises (@p48)) % 0.37/0.55 (step @p51 false :rule chain_m_resolution :premises (@p50 @p45 @p7) :args (false (@list true false) (@list @t56 @t40))) % 0.37/0.55 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------