%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV352-2 : 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 : n014.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 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV352-2 : 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 % 0.17/0.35 % Computer : n014.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 20:05:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Unsatisfiable % 0.37/0.61 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.37/0.62 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.62 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.v_B $$unsorted) % 0.37/0.62 (declare-const tptp.v_Aa $$unsorted) % 0.37/0.62 (declare-const tptp.v_NA $$unsorted) % 0.37/0.62 (declare-const tptp.v_Ba $$unsorted) % 0.37/0.62 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.37/0.62 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.37/0.62 (declare-const tptp.v_A $$unsorted) % 0.37/0.62 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.37/0.62 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.v_evso $$unsorted) % 0.37/0.62 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.v_X $$unsorted) % 0.37/0.62 (declare-const tptp.v_NBa $$unsorted) % 0.37/0.62 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.v_NB $$unsorted) % 0.37/0.62 (declare-const tptp.v_K $$unsorted) % 0.37/0.62 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.37/0.62 (define @t2 () (tptp.c_in tptp.v_evso tptp.c_Yahalom_Oyahalom @t1)) % 0.37/0.62 (define @t3 () (tptp.c_List_Oset tptp.v_evso tptp.tc_Event_Oevent)) % 0.37/0.62 (define @t4 () (tptp.c_Message_Omsg_ONonce tptp.v_NBa)) % 0.37/0.62 (define @t5 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.37/0.62 (define @t6 () (tptp.c_Message_Omsg_OMPair @t5 @t4)) % 0.37/0.62 (define @t7 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.37/0.62 (define @t8 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.37/0.62 (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)) % 0.37/0.62 (define @t10 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.37/0.62 (define @t11 () (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 @t10 @t5)))) % 0.37/0.62 (define @t12 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.37/0.62 (define @t13 () (tptp.c_Message_Omsg_OMPair @t12 @t11)) % 0.37/0.62 (define @t14 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer @t13) @t3 tptp.tc_Event_Oevent)) % 0.37/0.62 (define @t15 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evso)) % 0.37/0.62 (define @t16 () (tptp.c_Message_Oanalz @t15)) % 0.37/0.62 (define @t17 () (tptp.c_in @t5 @t16 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t18 () (@var "V_evs" $$unsorted)) % 0.37/0.62 (define @t19 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t18)) % 0.37/0.62 (define @t20 () (@var "V_X" $$unsorted)) % 0.37/0.62 (define @t21 () (tptp.c_List_Oset @t18 tptp.tc_Event_Oevent)) % 0.37/0.62 (define @t22 () (@var "V_B" $$unsorted)) % 0.37/0.62 (define @t23 () (@var "V_A" $$unsorted)) % 0.37/0.62 (define @t24 () (@var "V_H" $$unsorted)) % 0.37/0.62 (define @t25 () (tptp.c_Message_Oparts @t24)) % 0.37/0.62 (define @t26 () (@var "V_Y" $$unsorted)) % 0.37/0.62 (define @t27 () (tptp.c_Message_Oparts (tptp.c_Message_Oanalz @t24))) % 0.37/0.62 (define @t28 () (forall (@list @t24) (= @t27 @t25))) % 0.37/0.62 (define @t29 () (tptp.c_Message_Oanalz @t19)) % 0.37/0.62 (define @t30 () (not (tptp.c_in @t18 tptp.c_Yahalom_Oyahalom @t1))) % 0.37/0.62 (define @t31 () (@var "V_nb" $$unsorted)) % 0.37/0.62 (define @t32 () (@var "V_na" $$unsorted)) % 0.37/0.62 (define @t33 () (tptp.c_Message_Omsg_OMPair @t32 @t31)) % 0.37/0.62 (define @t34 () (tptp.c_Message_Omsg_OAgent @t23)) % 0.37/0.62 (define @t35 () (tptp.c_Public_OshrK @t22)) % 0.37/0.62 (define @t36 () (tptp.c_Message_Omsg_OAgent @t22)) % 0.37/0.62 (define @t37 () (@var "V_k" $$unsorted)) % 0.37/0.62 (define @t38 () (@var "V_NB" $$unsorted)) % 0.37/0.62 (define @t39 () (tptp.c_Message_Omsg_ONonce @t38)) % 0.37/0.62 (define @t40 () (tptp.c_Message_Oparts @t19)) % 0.37/0.62 (define @t41 () (@var "V_nb_H" $$unsorted)) % 0.37/0.62 (define @t42 () (@var "V_A_H" $$unsorted)) % 0.37/0.62 (define @t43 () (@var "V_B_H" $$unsorted)) % 0.37/0.62 (define @t44 () (forall (@list @t18 @t22 @t23 @t32 @t38 @t43 @t42 @t41) (or @t30 (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t35 (tptp.c_Message_Omsg_OMPair @t34 (tptp.c_Message_Omsg_OMPair @t32 @t39))) @t40 tptp.tc_Message_Omsg)) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t43) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t42) (tptp.c_Message_Omsg_OMPair @t39 @t41))) @t40 tptp.tc_Message_Omsg)) (tptp.c_in @t39 @t29 tptp.tc_Message_Omsg)))) % 0.37/0.62 (define @t45 () (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))) % 0.37/0.62 (define @t46 () (tptp.c_Message_Omsg_OMPair @t8 @t45)) % 0.37/0.62 (define @t47 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer @t46) @t3 tptp.tc_Event_Oevent)) % 0.37/0.62 (define @t48 () (not @t9)) % 0.37/0.62 (define @t49 () (not @t2)) % 0.37/0.62 (define @t50 () (or @t49 @t48 @t47)) % 0.37/0.62 (define @t51 () (@list false false false)) % 0.37/0.62 (define @t52 () (tptp.c_in @t46 @t16 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t53 () (not @t47)) % 0.37/0.62 (define @t54 () (or @t49 @t53 @t52)) % 0.37/0.62 (define @t55 () (tptp.c_Message_Oparts @t16)) % 0.37/0.62 (define @t56 () (tptp.c_in @t46 @t55 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t57 () (not @t52)) % 0.37/0.62 (define @t58 () (or @t57 @t56)) % 0.37/0.62 (define @t59 () (@list false false)) % 0.37/0.62 (define @t60 () (tptp.c_in @t45 @t55 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t61 () (not @t56)) % 0.37/0.62 (define @t62 () (or @t61 @t60)) % 0.37/0.62 (define @t63 () (tptp.c_Message_Oparts @t15)) % 0.37/0.62 (define @t64 () (tptp.c_in @t45 @t63 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t65 () (tptp.c_in @t13 @t15 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t66 () (not @t14)) % 0.37/0.62 (define @t67 () (or @t66 @t65)) % 0.37/0.62 (define @t68 () (tptp.c_in @t13 @t63 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t69 () (not @t65)) % 0.37/0.62 (define @t70 () (or @t69 @t68)) % 0.37/0.62 (define @t71 () (tptp.c_in @t13 @t55 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t72 () (tptp.c_in @t11 @t55 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t73 () (not @t71)) % 0.37/0.62 (define @t74 () (or @t73 @t72)) % 0.37/0.62 (define @t75 () (tptp.c_in @t11 @t63 tptp.tc_Message_Omsg)) % 0.37/0.62 (define @t76 () (not @t64)) % 0.37/0.62 (define @t77 () (not @t75)) % 0.37/0.62 (define @t78 () (or @t49 @t77 @t76 @t17)) % 0.37/0.62 (define @t79 () (not @t78)) % 0.37/0.62 (assume @p1 @t2) % 0.37/0.62 (assume @p2 @t9) % 0.37/0.62 (assume @p3 @t14) % 0.37/0.62 (assume @p4 (not @t17)) % 0.37/0.62 (assume @p5 (forall (@list @t23 @t22 @t20 @t18) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t23 @t22 @t20) @t21 tptp.tc_Event_Oevent)) (tptp.c_in @t20 @t19 tptp.tc_Message_Omsg)))) % 0.37/0.62 (assume @p6 (forall (@list @t20 @t26 @t24) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair @t20 @t26) @t25 tptp.tc_Message_Omsg)) (tptp.c_in @t26 @t25 tptp.tc_Message_Omsg)))) % 0.37/0.62 (assume @p7 (forall (@list @t20 @t24) (or (not (tptp.c_in @t20 @t24 tptp.tc_Message_Omsg)) (tptp.c_in @t20 @t25 tptp.tc_Message_Omsg)))) % 0.37/0.62 (assume @p8 @t28) % 0.37/0.62 (assume @p9 (forall (@list @t18 @t22 @t20) (or @t30 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t22 @t20) @t21 tptp.tc_Event_Oevent)) (tptp.c_in @t20 @t29 tptp.tc_Message_Omsg)))) % 0.37/0.62 (assume @p10 (forall (@list @t18 @t23 @t22 @t37 @t32 @t31 @t20) (or @t30 (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t23 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t23) (tptp.c_Message_Omsg_OMPair @t36 (tptp.c_Message_Omsg_OMPair @t37 @t33))) @t20)) @t21 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t36 (tptp.c_Message_Omsg_OCrypt @t35 (tptp.c_Message_Omsg_OMPair @t34 @t33)))) @t21 tptp.tc_Event_Oevent)))) % 0.37/0.62 (assume @p11 @t44) % 0.37/0.62 (step @p12 :rule instantiate :premises (@p6) :args ((@list @t8 @t45 @t16))) % 0.37/0.62 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t46 @t16))) % 0.37/0.62 (step @p14 :rule instantiate :premises (@p9) :args ((@list tptp.v_evso tptp.c_Message_Oagent_OServer @t46))) % 0.37/0.62 (step @p15 :rule instantiate :premises (@p10) :args ((@list tptp.v_evso tptp.v_Aa tptp.v_Ba @t7 @t5 @t4 tptp.v_X))) % 0.37/0.62 (step @p16 :rule cnf_or_pos :args (@t50)) % 0.37/0.62 (step @p17 :rule reordering :premises (@p16) :args ((or @t49 @t48 @t47 (not @t50)))) % 0.37/0.62 (step @p18 :rule chain_m_resolution :premises (@p17 @p1 @p2 @p15) :args (@t47 @t51 (@list @t2 @t9 @t50))) % 0.37/0.62 (step @p19 :rule cnf_or_pos :args (@t54)) % 0.37/0.62 (step @p20 :rule reordering :premises (@p19) :args ((or @t49 @t53 @t52 (not @t54)))) % 0.37/0.62 (step @p21 :rule chain_m_resolution :premises (@p20 @p1 @p18 @p14) :args (@t52 @t51 (@list @t2 @t47 @t54))) % 0.37/0.62 (step @p22 :rule cnf_or_pos :args (@t58)) % 0.37/0.62 (step @p23 :rule reordering :premises (@p22) :args ((or @t57 @t56 (not @t58)))) % 0.37/0.62 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p13) :args (@t56 @t59 (@list @t52 @t58))) % 0.37/0.62 (step @p25 :rule cnf_or_pos :args (@t62)) % 0.37/0.62 (step @p26 :rule reordering :premises (@p25) :args ((or @t61 @t60 (not @t62)))) % 0.37/0.62 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p12) :args (@t60 @t59 (@list @t56 @t62))) % 0.37/0.62 (step @p28 :rule true_intro :premises (@p27)) % 0.37/0.62 (step @p29 :rule refl :args (tptp.tc_Message_Omsg)) % 0.37/0.62 (step @p30 :rule eq-symm :args (@t27 @t25)) % 0.37/0.62 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 0.37/0.62 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 0.37/0.62 (step @p33 :rule instantiate :premises (@p32) :args ((@list @t15))) % 0.37/0.62 (step @p34 :rule refl :args (@t45)) % 0.37/0.62 (step @p35 :rule cong :premises (@p34 @p33 @p29) :args (@t64)) % 0.37/0.62 (step @p36 :rule trans :premises (@p35 @p28)) % 0.37/0.62 (step @p37 :rule true_elim :premises (@p36)) % 0.37/0.62 (step @p38 :rule instantiate :premises (@p6) :args ((@list @t12 @t11 @t16))) % 0.37/0.62 (step @p39 :rule instantiate :premises (@p7) :args ((@list @t13 @t15))) % 0.37/0.62 (step @p40 :rule instantiate :premises (@p5) :args ((@list tptp.v_B tptp.c_Message_Oagent_OServer @t13 tptp.v_evso))) % 0.37/0.62 (step @p41 :rule cnf_or_pos :args (@t67)) % 0.37/0.62 (step @p42 :rule reordering :premises (@p41) :args ((or @t66 @t65 (not @t67)))) % 0.37/0.62 (step @p43 :rule chain_m_resolution :premises (@p42 @p3 @p40) :args (@t65 @t59 (@list @t14 @t67))) % 0.37/0.62 (step @p44 :rule cnf_or_pos :args (@t70)) % 0.37/0.62 (step @p45 :rule reordering :premises (@p44) :args ((or @t69 @t68 (not @t70)))) % 0.37/0.62 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p39) :args (@t68 @t59 (@list @t65 @t70))) % 0.37/0.62 (step @p47 :rule true_intro :premises (@p46)) % 0.37/0.62 (step @p48 :rule symm :premises (@p33)) % 0.37/0.62 (step @p49 :rule refl :args (@t13)) % 0.37/0.62 (step @p50 :rule cong :premises (@p49 @p48 @p29) :args (@t71)) % 0.37/0.62 (step @p51 :rule trans :premises (@p50 @p47)) % 0.37/0.62 (step @p52 :rule true_elim :premises (@p51)) % 0.37/0.62 (step @p53 :rule cnf_or_pos :args (@t74)) % 0.37/0.62 (step @p54 :rule reordering :premises (@p53) :args ((or @t73 @t72 (not @t74)))) % 0.37/0.62 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p38) :args (@t72 @t59 (@list @t71 @t74))) % 0.37/0.62 (step @p56 :rule true_intro :premises (@p55)) % 0.37/0.62 (step @p57 :rule refl :args (@t11)) % 0.37/0.62 (step @p58 :rule cong :premises (@p57 @p33 @p29) :args (@t75)) % 0.37/0.62 (step @p59 :rule trans :premises (@p58 @p56)) % 0.37/0.62 (step @p60 :rule true_elim :premises (@p59)) % 0.37/0.62 (step @p61 :rule cnf_or_pos :args (@t78)) % 0.37/0.62 (step @p62 :rule reordering :premises (@p61) :args ((or @t17 @t49 @t77 @t76 @t79))) % 0.37/0.62 (step @p63 :rule chain_m_resolution :premises (@p62 @p4 @p1 @p60 @p37) :args (@t79 (@list true false false false) (@list @t17 @t2 @t75 @t64))) % 0.37/0.62 (assume-push @p70 @t44) % 0.37/0.62 (step @p65 :rule instantiate :premises (@p11) :args ((@list tptp.v_evso tptp.v_B tptp.v_A @t10 tptp.v_NB tptp.v_Ba tptp.v_Aa @t4))) % 0.37/0.62 (step-pop @p71 :rule scope :premises (@p65)) % 0.37/0.62 (step @p66 :rule process_scope :premises (@p71) :args (@t78)) % 0.37/0.62 (step @p68 :rule implies_elim :premises (@p66)) % 0.37/0.62 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p11) :args (false (@list true false) (@list @t78 @t44))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------