%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV359-2 : 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 : n003.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 09:01:16 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV359-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n003.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 20:05:14 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.v_A $$unsorted) % 0.38/0.57 (declare-const tptp.v_NB $$unsorted) % 0.38/0.57 (declare-const tptp.v_evs3 $$unsorted) % 0.38/0.57 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.38/0.57 (declare-const tptp.v_NA $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_Aa $$unsorted) % 0.38/0.57 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.38/0.57 (declare-const tptp.v_NBa $$unsorted) % 0.38/0.57 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.38/0.57 (declare-const tptp.v_Ba $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_B $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.38/0.57 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "V_evs" $$unsorted)) % 0.38/0.57 (define @t2 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t1)) % 0.38/0.57 (define @t3 () (@var "V_X" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.c_List_Oset @t1 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t5 () (@var "V_B" $$unsorted)) % 0.38/0.57 (define @t6 () (@var "V_A" $$unsorted)) % 0.38/0.57 (define @t7 () (@var "V_H" $$unsorted)) % 0.38/0.57 (define @t8 () (tptp.c_Message_Oparts @t7)) % 0.38/0.57 (define @t9 () (@var "V_Y" $$unsorted)) % 0.38/0.57 (define @t10 () (tptp.c_Message_Oparts (tptp.c_Message_Oanalz @t7))) % 0.38/0.57 (define @t11 () (forall (@list @t7) (= @t10 @t8))) % 0.38/0.57 (define @t12 () (tptp.c_Message_Oanalz @t2)) % 0.38/0.57 (define @t13 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t14 () (not (tptp.c_in @t1 tptp.c_Yahalom_Oyahalom @t13))) % 0.38/0.57 (define @t15 () (@var "V_NB" $$unsorted)) % 0.38/0.57 (define @t16 () (tptp.c_Message_Omsg_ONonce @t15)) % 0.38/0.57 (define @t17 () (tptp.c_Message_Oparts @t2)) % 0.38/0.57 (define @t18 () (@var "V_nb_H" $$unsorted)) % 0.38/0.57 (define @t19 () (@var "V_A_H" $$unsorted)) % 0.38/0.57 (define @t20 () (@var "V_B_H" $$unsorted)) % 0.38/0.57 (define @t21 () (@var "V_na" $$unsorted)) % 0.38/0.57 (define @t22 () (forall (@list @t1 @t5 @t6 @t21 @t15 @t20 @t19 @t18) (or @t14 (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t5) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t6) (tptp.c_Message_Omsg_OMPair @t21 @t16))) @t17 tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t20) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t19) (tptp.c_Message_Omsg_OMPair @t16 @t18))) @t17 tptp.tc_Message_Omsg)) (tptp.c_in @t16 @t12 tptp.tc_Message_Omsg)))) % 0.38/0.57 (define @t23 () (tptp.c_in tptp.v_evs3 tptp.c_Yahalom_Oyahalom @t13)) % 0.38/0.57 (define @t24 () (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t25 () (tptp.c_Message_Omsg_ONonce tptp.v_NBa)) % 0.38/0.57 (define @t26 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.38/0.57 (define @t27 () (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) (tptp.c_Message_Omsg_OMPair @t26 @t25)))) % 0.38/0.57 (define @t28 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.38/0.57 (define @t29 () (tptp.c_Message_Omsg_OMPair @t28 @t27)) % 0.38/0.57 (define @t30 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer @t29) @t24 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t31 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.38/0.57 (define @t32 () (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 @t31 @t26)))) % 0.38/0.57 (define @t33 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.38/0.57 (define @t34 () (tptp.c_Message_Omsg_OMPair @t33 @t32)) % 0.38/0.57 (define @t35 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer @t34) @t24 tptp.tc_Event_Oevent)) % 0.38/0.57 (define @t36 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) % 0.38/0.57 (define @t37 () (tptp.c_Message_Oanalz @t36)) % 0.38/0.57 (define @t38 () (tptp.c_in @t26 @t37 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t39 () (tptp.c_in @t34 @t36 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t40 () (not @t35)) % 0.38/0.57 (define @t41 () (or @t40 @t39)) % 0.38/0.57 (define @t42 () (@list false false)) % 0.38/0.57 (define @t43 () (tptp.c_Message_Oparts @t36)) % 0.38/0.57 (define @t44 () (tptp.c_in @t34 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t45 () (not @t39)) % 0.38/0.57 (define @t46 () (or @t45 @t44)) % 0.38/0.57 (define @t47 () (tptp.c_in @t32 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t48 () (not @t44)) % 0.38/0.57 (define @t49 () (or @t48 @t47)) % 0.38/0.57 (define @t50 () (tptp.c_in @t29 @t37 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t51 () (not @t30)) % 0.38/0.57 (define @t52 () (not @t23)) % 0.38/0.57 (define @t53 () (or @t52 @t51 @t50)) % 0.38/0.57 (define @t54 () (tptp.c_Message_Oparts @t37)) % 0.38/0.57 (define @t55 () (tptp.c_in @t29 @t54 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t56 () (not @t50)) % 0.38/0.57 (define @t57 () (or @t56 @t55)) % 0.38/0.57 (define @t58 () (tptp.c_in @t27 @t54 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t59 () (not @t55)) % 0.38/0.57 (define @t60 () (or @t59 @t58)) % 0.38/0.57 (define @t61 () (tptp.c_in @t27 @t43 tptp.tc_Message_Omsg)) % 0.38/0.57 (define @t62 () (not @t61)) % 0.38/0.57 (define @t63 () (not @t47)) % 0.38/0.57 (define @t64 () (or @t52 @t63 @t62 @t38)) % 0.38/0.57 (define @t65 () (not @t64)) % 0.38/0.57 (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 @t2 tptp.tc_Message_Omsg)))) % 0.38/0.57 (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)))) % 0.38/0.57 (assume @p3 (forall (@list @t3 @t7) (or (not (tptp.c_in @t3 @t7 tptp.tc_Message_Omsg)) (tptp.c_in @t3 @t8 tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p4 @t11) % 0.38/0.57 (assume @p5 (forall (@list @t1 @t5 @t3) (or @t14 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t5 @t3) @t4 tptp.tc_Event_Oevent)) (tptp.c_in @t3 @t12 tptp.tc_Message_Omsg)))) % 0.38/0.57 (assume @p6 @t22) % 0.38/0.57 (assume @p7 @t23) % 0.38/0.57 (assume @p8 @t30) % 0.38/0.57 (assume @p9 @t35) % 0.38/0.57 (assume @p10 (not @t38)) % 0.38/0.57 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t33 @t32 @t36))) % 0.38/0.57 (step @p12 :rule instantiate :premises (@p3) :args ((@list @t34 @t36))) % 0.38/0.57 (step @p13 :rule instantiate :premises (@p1) :args ((@list tptp.v_B tptp.c_Message_Oagent_OServer @t34 tptp.v_evs3))) % 0.38/0.57 (step @p14 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p15 :rule reordering :premises (@p14) :args ((or @t40 @t39 (not @t41)))) % 0.38/0.57 (step @p16 :rule chain_m_resolution :premises (@p15 @p9 @p13) :args (@t39 @t42 (@list @t35 @t41))) % 0.38/0.57 (step @p17 :rule cnf_or_pos :args (@t46)) % 0.38/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t45 @t44 (not @t46)))) % 0.38/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p12) :args (@t44 @t42 (@list @t39 @t46))) % 0.38/0.57 (step @p20 :rule cnf_or_pos :args (@t49)) % 0.38/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t48 @t47 (not @t49)))) % 0.38/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p11) :args (@t47 @t42 (@list @t44 @t49))) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p2) :args ((@list @t28 @t27 @t37))) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p3) :args ((@list @t29 @t37))) % 0.38/0.57 (step @p25 :rule instantiate :premises (@p5) :args ((@list tptp.v_evs3 tptp.c_Message_Oagent_OServer @t29))) % 0.38/0.57 (step @p26 :rule cnf_or_pos :args (@t53)) % 0.38/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t52 @t51 @t50 (not @t53)))) % 0.38/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p7 @p8 @p25) :args (@t50 (@list false false false) (@list @t23 @t30 @t53))) % 0.38/0.57 (step @p29 :rule cnf_or_pos :args (@t57)) % 0.38/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t56 @t55 (not @t57)))) % 0.38/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p24) :args (@t55 @t42 (@list @t50 @t57))) % 0.38/0.57 (step @p32 :rule cnf_or_pos :args (@t60)) % 0.38/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t58 @t59 (not @t60)))) % 0.38/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p23) :args (@t58 @t42 (@list @t55 @t60))) % 0.38/0.57 (step @p35 :rule true_intro :premises (@p34)) % 0.38/0.57 (step @p36 :rule refl :args (tptp.tc_Message_Omsg)) % 0.38/0.57 (step @p37 :rule eq-symm :args (@t10 @t8)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t11)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p4 @p38)) % 0.38/0.57 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t36))) % 0.38/0.57 (step @p41 :rule refl :args (@t27)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41 @p40 @p36) :args (@t61)) % 0.38/0.57 (step @p43 :rule trans :premises (@p42 @p35)) % 0.38/0.57 (step @p44 :rule true_elim :premises (@p43)) % 0.38/0.57 (step @p45 :rule cnf_or_pos :args (@t64)) % 0.38/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t38 @t52 @t62 @t63 @t65))) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p10 @p7 @p44 @p22) :args (@t65 (@list true false false false) (@list @t38 @t23 @t61 @t47))) % 0.38/0.57 (assume-push @p54 @t22) % 0.38/0.57 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.v_evs3 tptp.v_B tptp.v_A @t31 tptp.v_NB tptp.v_Ba tptp.v_Aa @t25))) % 0.38/0.57 (step-pop @p55 :rule scope :premises (@p49)) % 0.38/0.57 (step @p50 :rule process_scope :premises (@p55) :args (@t64)) % 0.38/0.57 (step @p52 :rule implies_elim :premises (@p50)) % 0.38/0.57 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p6) :args (false (@list true false) (@list @t64 @t22))) % 0.38/0.57 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------