%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV311-2 : 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 : n012.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 09:01:04 AM UTC 2026 % Result : Unsatisfiable 0.17s 0.37s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV311-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 20:02:33 EDT 2026 % 0.08/0.25 % CPUTime : % 0.17/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.37 % SZS status Unsatisfiable % 0.17/0.37 % SZS output start Proof % 0.17/0.37 ( % 0.17/0.37 (declare-sort $$unsorted 0) % 0.17/0.37 (declare-const tptp.v_NA $$unsorted) % 0.17/0.37 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.v_Ba $$unsorted) % 0.17/0.37 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.v_sko__u__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.17/0.37 (declare-const tptp.v_NB $$unsorted) % 0.17/0.37 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.17/0.37 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.17/0.37 (declare-const tptp.v_NAa $$unsorted) % 0.17/0.37 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.17/0.37 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.17/0.37 (declare-const tptp.c_Event_Obad $$unsorted) % 0.17/0.37 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.17/0.37 (declare-const tptp.c_OtwayRees_Ootway $$unsorted) % 0.17/0.37 (declare-const tptp.v_Aa $$unsorted) % 0.17/0.37 (declare-const tptp.v_sko__usf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.v_B $$unsorted) % 0.17/0.37 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.17/0.37 (declare-const tptp.v_evs3 $$unsorted) % 0.17/0.37 (declare-const tptp.v_NBa $$unsorted) % 0.17/0.37 (define @t1 () (@var "V_evs" $$unsorted)) % 0.17/0.37 (define @t2 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t1)) % 0.17/0.37 (define @t3 () (@var "V_X" $$unsorted)) % 0.17/0.37 (define @t4 () (tptp.c_List_Oset @t1 tptp.tc_Event_Oevent)) % 0.17/0.37 (define @t5 () (@var "V_B" $$unsorted)) % 0.17/0.37 (define @t6 () (@var "V_A" $$unsorted)) % 0.17/0.37 (define @t7 () (@var "V_H" $$unsorted)) % 0.17/0.37 (define @t8 () (tptp.c_Message_Oanalz @t7)) % 0.17/0.37 (define @t9 () (@var "V_Y" $$unsorted)) % 0.17/0.37 (define @t10 () (@var "V_c" $$unsorted)) % 0.17/0.37 (define @t11 () (tptp.c_Message_Omsg_OAgent @t5)) % 0.17/0.37 (define @t12 () (tptp.c_Message_Omsg_OAgent @t6)) % 0.17/0.37 (define @t13 () (@var "V_NB" $$unsorted)) % 0.17/0.37 (define @t14 () (@var "V_NA" $$unsorted)) % 0.17/0.37 (define @t15 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t5) (tptp.c_Message_Omsg_OMPair @t14 (tptp.c_Message_Omsg_OMPair @t13 (tptp.c_Message_Omsg_OMPair @t12 @t11))))) % 0.17/0.37 (define @t16 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.17/0.37 (define @t17 () (not (tptp.c_in @t1 tptp.c_OtwayRees_Ootway @t16))) % 0.17/0.37 (define @t18 () (tptp.c_in tptp.v_evs3 tptp.c_OtwayRees_Ootway @t16)) % 0.17/0.37 (define @t19 () (tptp.c_Message_Omsg_ONonce tptp.v_NBa)) % 0.17/0.37 (define @t20 () (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent)) % 0.17/0.37 (define @t21 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.17/0.37 (define @t22 () (tptp.c_Message_Omsg_OAgent tptp.v_Aa)) % 0.17/0.37 (define @t23 () (tptp.c_Message_Omsg_OMPair @t22 @t21)) % 0.17/0.37 (define @t24 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.17/0.37 (define @t25 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair @t24 (tptp.c_Message_Omsg_OMPair @t19 @t23)))) % 0.17/0.37 (define @t26 () (@var "V_U" $$unsorted)) % 0.17/0.37 (define @t27 () (forall (@list @t26) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_Ba tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t24 (tptp.c_Message_Omsg_OMPair @t22 (tptp.c_Message_Omsg_OMPair @t21 (tptp.c_Message_Omsg_OMPair @t26 @t25))))) @t20 tptp.tc_Event_Oevent)))) % 0.17/0.37 (define @t28 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair @t24 @t23))) % 0.17/0.37 (define @t29 () (tptp.c_Message_Omsg_OMPair @t28 @t25)) % 0.17/0.37 (define @t30 () (tptp.c_Message_Omsg_OMPair @t21 @t29)) % 0.17/0.37 (define @t31 () (tptp.c_Message_Omsg_OMPair @t22 @t30)) % 0.17/0.37 (define @t32 () (tptp.c_Message_Omsg_OMPair @t24 @t31)) % 0.17/0.37 (define @t33 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer @t32) @t20 tptp.tc_Event_Oevent)) % 0.17/0.37 (define @t34 () (tptp.c_in tptp.v_Ba tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.17/0.37 (define @t35 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) % 0.17/0.37 (define @t36 () (tptp.v_sko__usf tptp.c_Message_Oagent_OServer @t32 tptp.v_evs3)) % 0.17/0.37 (define @t37 () (tptp.c_in (tptp.c_Event_Oevent_OSays @t36 tptp.c_Message_Oagent_OServer @t32) @t20 tptp.tc_Event_Oevent)) % 0.17/0.37 (define @t38 () (not @t33)) % 0.17/0.37 (define @t39 () (not @t18)) % 0.17/0.37 (define @t40 () (or @t39 @t38 @t37)) % 0.17/0.37 (define @t41 () (tptp.c_Message_Oanalz @t35)) % 0.17/0.37 (define @t42 () (tptp.c_in @t32 @t41 tptp.tc_Message_Omsg)) % 0.17/0.37 (define @t43 () (not @t37)) % 0.17/0.37 (define @t44 () (or @t43 @t42)) % 0.17/0.37 (define @t45 () (@list false false)) % 0.17/0.37 (define @t46 () (tptp.c_in @t31 @t41 tptp.tc_Message_Omsg)) % 0.17/0.37 (define @t47 () (not @t42)) % 0.17/0.37 (define @t48 () (or @t47 @t46)) % 0.17/0.37 (define @t49 () (tptp.c_in @t30 @t41 tptp.tc_Message_Omsg)) % 0.17/0.37 (define @t50 () (not @t46)) % 0.17/0.37 (define @t51 () (or @t50 @t49)) % 0.17/0.37 (define @t52 () (tptp.c_in @t29 @t41 tptp.tc_Message_Omsg)) % 0.17/0.37 (define @t53 () (not @t49)) % 0.17/0.37 (define @t54 () (or @t53 @t52)) % 0.17/0.37 (define @t55 () (tptp.c_in @t25 @t41 tptp.tc_Message_Omsg)) % 0.17/0.37 (define @t56 () (not @t52)) % 0.17/0.37 (define @t57 () (or @t56 @t55)) % 0.17/0.37 (define @t58 () (tptp.c_in @t25 (tptp.c_Message_Oparts @t35) tptp.tc_Message_Omsg)) % 0.17/0.37 (define @t59 () (not @t55)) % 0.17/0.37 (define @t60 () (or @t59 @t58)) % 0.17/0.37 (define @t61 () (tptp.v_sko__u__1 tptp.v_Aa tptp.v_Ba @t24 @t19 tptp.v_evs3)) % 0.17/0.37 (define @t62 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_Ba tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t24 (tptp.c_Message_Omsg_OMPair @t22 (tptp.c_Message_Omsg_OMPair @t21 (tptp.c_Message_Omsg_OMPair @t61 @t25))))) @t20 tptp.tc_Event_Oevent)) % 0.17/0.37 (define @t63 () (not @t58)) % 0.17/0.37 (define @t64 () (or @t39 @t63 @t34 @t62)) % 0.17/0.37 (assume @p1 (forall (@list @t6 @t5 @t3 @t1) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t6 @t5 @t3) @t4 tptp.tc_Event_Oevent)) (tptp.c_in @t3 (tptp.c_Message_Oanalz @t2) tptp.tc_Message_Omsg)))) % 0.17/0.37 (assume @p2 (forall (@list @t3 @t9 @t7) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair @t3 @t9) @t8 tptp.tc_Message_Omsg)) (tptp.c_in @t9 @t8 tptp.tc_Message_Omsg)))) % 0.17/0.37 (assume @p3 (forall (@list @t10 @t7) (or (not (tptp.c_in @t10 @t8 tptp.tc_Message_Omsg)) (tptp.c_in @t10 (tptp.c_Message_Oparts @t7) tptp.tc_Message_Omsg)))) % 0.17/0.37 (assume @p4 (forall (@list @t1 @t5 @t14 @t13 @t6) (or @t17 (not (tptp.c_in @t15 (tptp.c_Message_Oparts @t2) tptp.tc_Message_Omsg)) (tptp.c_in @t5 tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays @t5 tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t14 (tptp.c_Message_Omsg_OMPair @t12 (tptp.c_Message_Omsg_OMPair @t11 (tptp.c_Message_Omsg_OMPair (tptp.v_sko__u__1 @t6 @t5 @t14 @t13 @t1) @t15))))) @t4 tptp.tc_Event_Oevent)))) % 0.17/0.37 (assume @p5 (forall (@list @t1 @t5 @t3) (or @t17 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t5 @t3) @t4 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf @t5 @t3 @t1) @t5 @t3) @t4 tptp.tc_Event_Oevent)))) % 0.17/0.37 (assume @p6 (not (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) % 0.17/0.37 (assume @p7 @t18) % 0.17/0.37 (assume @p8 (= tptp.v_NB @t19)) % 0.17/0.37 (assume @p9 @t27) % 0.17/0.37 (assume @p10 @t33) % 0.17/0.37 (assume @p11 (= tptp.v_B tptp.v_Ba)) % 0.17/0.37 (assume @p12 (= tptp.v_NA @t24)) % 0.17/0.37 (step @p13 :rule instantiate :premises (@p4) :args ((@list tptp.v_evs3 tptp.v_Ba @t24 @t19 tptp.v_Aa))) % 0.17/0.37 (step @p14 :rule false_intro :premises (@p6)) % 0.17/0.37 (step @p15 :rule refl :args (tptp.tc_Message_Oagent)) % 0.17/0.37 (step @p16 :rule refl :args (tptp.c_Event_Obad)) % 0.17/0.37 (step @p17 :rule symm :premises (@p11)) % 0.17/0.37 (step @p18 :rule cong :premises (@p17 @p16 @p15) :args (@t34)) % 0.17/0.37 (step @p19 :rule trans :premises (@p18 @p14)) % 0.17/0.37 (step @p20 :rule false_elim :premises (@p19)) % 0.17/0.37 (step @p21 :rule instantiate :premises (@p3) :args ((@list @t25 @t35))) % 0.17/0.37 (step @p22 :rule instantiate :premises (@p2) :args ((@list @t28 @t25 @t35))) % 0.17/0.37 (step @p23 :rule instantiate :premises (@p2) :args ((@list @t21 @t29 @t35))) % 0.17/0.37 (step @p24 :rule instantiate :premises (@p2) :args ((@list @t22 @t30 @t35))) % 0.17/0.37 (step @p25 :rule instantiate :premises (@p2) :args ((@list @t24 @t31 @t35))) % 0.17/0.37 (step @p26 :rule instantiate :premises (@p1) :args ((@list @t36 tptp.c_Message_Oagent_OServer @t32 tptp.v_evs3))) % 0.17/0.37 (step @p27 :rule instantiate :premises (@p5) :args ((@list tptp.v_evs3 tptp.c_Message_Oagent_OServer @t32))) % 0.17/0.37 (step @p28 :rule cnf_or_pos :args (@t40)) % 0.17/0.37 (step @p29 :rule reordering :premises (@p28) :args ((or @t39 @t38 @t37 (not @t40)))) % 0.17/0.37 (step @p30 :rule chain_m_resolution :premises (@p29 @p7 @p10 @p27) :args (@t37 (@list false false false) (@list @t18 @t33 @t40))) % 0.17/0.37 (step @p31 :rule cnf_or_pos :args (@t44)) % 0.17/0.37 (step @p32 :rule reordering :premises (@p31) :args ((or @t43 @t42 (not @t44)))) % 0.17/0.37 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26) :args (@t42 @t45 (@list @t37 @t44))) % 0.17/0.37 (step @p34 :rule cnf_or_pos :args (@t48)) % 0.17/0.37 (step @p35 :rule reordering :premises (@p34) :args ((or @t47 @t46 (not @t48)))) % 0.17/0.37 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p25) :args (@t46 @t45 (@list @t42 @t48))) % 0.17/0.37 (step @p37 :rule cnf_or_pos :args (@t51)) % 0.17/0.37 (step @p38 :rule reordering :premises (@p37) :args ((or @t50 @t49 (not @t51)))) % 0.17/0.37 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p24) :args (@t49 @t45 (@list @t46 @t51))) % 0.17/0.37 (step @p40 :rule cnf_or_pos :args (@t54)) % 0.17/0.37 (step @p41 :rule reordering :premises (@p40) :args ((or @t53 @t52 (not @t54)))) % 0.17/0.37 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p23) :args (@t52 @t45 (@list @t49 @t54))) % 0.17/0.37 (step @p43 :rule cnf_or_pos :args (@t57)) % 0.17/0.37 (step @p44 :rule reordering :premises (@p43) :args ((or @t55 @t56 (not @t57)))) % 0.17/0.37 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p22) :args (@t55 @t45 (@list @t52 @t57))) % 0.17/0.37 (step @p46 :rule cnf_or_pos :args (@t60)) % 0.17/0.37 (step @p47 :rule reordering :premises (@p46) :args ((or @t58 @t59 (not @t60)))) % 0.17/0.37 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p21) :args (@t58 @t45 (@list @t55 @t60))) % 0.17/0.37 (step @p49 :rule cnf_or_pos :args (@t64)) % 0.17/0.37 (step @p50 :rule reordering :premises (@p49) :args ((or @t39 @t63 @t34 @t62 (not @t64)))) % 0.17/0.37 (step @p51 :rule chain_m_resolution :premises (@p50 @p7 @p48 @p20 @p13) :args (@t62 (@list false false true false) (@list @t18 @t58 @t34 @t64))) % 0.17/0.37 (assume-push @p58 @t27) % 0.17/0.37 (step @p53 :rule instantiate :premises (@p9) :args ((@list @t61))) % 0.17/0.37 (step-pop @p59 :rule scope :premises (@p53)) % 0.17/0.37 (step @p54 :rule process_scope :premises (@p59) :args ((not @t62))) % 0.17/0.37 (step @p56 :rule implies_elim :premises (@p54)) % 0.17/0.37 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p9) :args (false @t45 (@list @t62 @t27))) % 0.17/0.37 ) % 0.17/0.37 % SZS output end Proof % 0.17/0.37 % cvc5 exiting %------------------------------------------------------------------------------