%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV323-2 : 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 : 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 09:01:07 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.60s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV323-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 20:04:13 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.60 % SZS status Unsatisfiable % 0.36/0.60 % SZS output start Proof % 0.36/0.60 ( % 0.36/0.60 (declare-sort $$unsorted 0) % 0.36/0.60 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.60 (declare-const tptp.v_sko__usf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.v_B $$unsorted) % 0.36/0.60 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.36/0.60 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.v_NB $$unsorted) % 0.36/0.60 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.v_K $$unsorted) % 0.36/0.60 (declare-const tptp.v_evs4 $$unsorted) % 0.36/0.60 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.36/0.60 (declare-const tptp.c_OtwayRees_Ootway $$unsorted) % 0.36/0.60 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.v_X $$unsorted) % 0.36/0.60 (declare-const tptp.v_NA $$unsorted) % 0.36/0.60 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.36/0.60 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.v_A $$unsorted) % 0.36/0.60 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.36/0.60 (declare-const tptp.c_Event_Obad $$unsorted) % 0.36/0.60 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.36/0.60 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.60 (define @t1 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.36/0.60 (define @t2 () (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway @t1)) % 0.36/0.60 (define @t3 () (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent)) % 0.36/0.60 (define @t4 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K)))) % 0.36/0.60 (define @t5 () (tptp.c_Message_Omsg_OMPair tptp.v_X @t4)) % 0.36/0.60 (define @t6 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.36/0.60 (define @t7 () (tptp.c_Message_Omsg_OMPair @t6 @t5)) % 0.36/0.60 (define @t8 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B @t7) @t3 tptp.tc_Event_Oevent)) % 0.36/0.60 (define @t9 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) % 0.36/0.60 (define @t10 () (tptp.c_Message_Oparts @t9)) % 0.36/0.60 (define @t11 () (tptp.c_Public_OshrK tptp.v_A)) % 0.36/0.60 (define @t12 () (tptp.c_Message_Omsg_OKey @t11)) % 0.36/0.60 (define @t13 () (tptp.c_in @t12 @t10 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t14 () (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.36/0.60 (define @t15 () (tptp.c_insert tptp.v_X @t9 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t16 () (tptp.c_in @t12 (tptp.c_Message_Oparts @t15) tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t17 () (not @t16)) % 0.36/0.60 (define @t18 () (not @t14)) % 0.36/0.60 (define @t19 () (@var "V_evs" $$unsorted)) % 0.36/0.60 (define @t20 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t19)) % 0.36/0.60 (define @t21 () (@var "V_X" $$unsorted)) % 0.36/0.60 (define @t22 () (tptp.c_List_Oset @t19 tptp.tc_Event_Oevent)) % 0.36/0.60 (define @t23 () (@var "V_B" $$unsorted)) % 0.36/0.60 (define @t24 () (@var "V_A" $$unsorted)) % 0.36/0.60 (define @t25 () (@var "V_H" $$unsorted)) % 0.36/0.60 (define @t26 () (tptp.c_Message_Oparts @t25)) % 0.36/0.60 (define @t27 () (tptp.c_Message_Oanalz @t25)) % 0.36/0.60 (define @t28 () (tptp.c_Message_Osynth @t27)) % 0.36/0.60 (define @t29 () (@var "V_Z" $$unsorted)) % 0.36/0.60 (define @t30 () (tptp.c_in @t21 @t28 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t31 () (@var "V_K" $$unsorted)) % 0.36/0.60 (define @t32 () (tptp.c_Message_Omsg_OKey @t31)) % 0.36/0.60 (define @t33 () (tptp.c_Message_Osynth @t25)) % 0.36/0.60 (define @t34 () (@var "V_Y" $$unsorted)) % 0.36/0.60 (define @t35 () (not (tptp.c_in (tptp.c_Message_Omsg_OMPair @t21 @t34) @t28 tptp.tc_Message_Omsg))) % 0.36/0.60 (define @t36 () (@list @t21 @t34 @t25)) % 0.36/0.60 (define @t37 () (@var "V_c" $$unsorted)) % 0.36/0.60 (define @t38 () (not (tptp.c_in @t21 @t25 tptp.tc_Message_Omsg))) % 0.36/0.60 (define @t39 () (@list @t21 @t25)) % 0.36/0.60 (define @t40 () (@var "T_a" $$unsorted)) % 0.36/0.60 (define @t41 () (@var "V_b" $$unsorted)) % 0.36/0.60 (define @t42 () (@var "V_a" $$unsorted)) % 0.36/0.60 (define @t43 () (forall (@list @t42 @t23 @t40 @t41) (or (not (tptp.c_in @t42 @t23 @t40)) (tptp.c_in @t42 (tptp.c_insert @t41 @t23 @t40) @t40)))) % 0.36/0.60 (define @t44 () (tptp.c_Message_Oanalz @t9)) % 0.36/0.60 (define @t45 () (tptp.c_in @t12 @t44 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t46 () (not @t45)) % 0.36/0.60 (define @t47 () (or @t46 @t13)) % 0.36/0.60 (define @t48 () (tptp.v_sko__usf tptp.v_B @t7 tptp.v_evs4)) % 0.36/0.60 (define @t49 () (tptp.c_in (tptp.c_Event_Oevent_OSays @t48 tptp.v_B @t7) @t3 tptp.tc_Event_Oevent)) % 0.36/0.60 (define @t50 () (not @t8)) % 0.36/0.60 (define @t51 () (not @t2)) % 0.36/0.60 (define @t52 () (or @t51 @t50 @t49)) % 0.36/0.60 (define @t53 () (tptp.c_in @t7 @t44 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t54 () (not @t49)) % 0.36/0.60 (define @t55 () (or @t54 @t53)) % 0.36/0.60 (define @t56 () (@list false false)) % 0.36/0.60 (define @t57 () (tptp.c_Message_Osynth @t44)) % 0.36/0.60 (define @t58 () (tptp.c_in @t7 @t57 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t59 () (not @t53)) % 0.36/0.60 (define @t60 () (or @t59 @t58)) % 0.36/0.60 (define @t61 () (tptp.c_in @t5 @t57 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t62 () (not @t58)) % 0.36/0.60 (define @t63 () (or @t62 @t61)) % 0.36/0.60 (define @t64 () (tptp.c_in tptp.v_X @t57 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t65 () (not @t61)) % 0.36/0.60 (define @t66 () (or @t65 @t64)) % 0.36/0.60 (define @t67 () (tptp.c_in @t12 (tptp.c_union @t57 @t10 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t68 () (not @t64)) % 0.36/0.60 (define @t69 () (or @t17 @t68 @t67)) % 0.36/0.60 (define @t70 () (tptp.c_in @t12 @t57 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t71 () (not @t70)) % 0.36/0.60 (define @t72 () (or @t71 @t45)) % 0.36/0.60 (define @t73 () (not @t67)) % 0.36/0.60 (define @t74 () (or @t73 @t13 @t70)) % 0.36/0.60 (define @t75 () (tptp.c_in @t12 @t15 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t76 () (not @t75)) % 0.36/0.60 (define @t77 () (or @t76 @t16)) % 0.36/0.60 (define @t78 () (@list true false)) % 0.36/0.60 (define @t79 () (tptp.c_in @t12 @t9 tptp.tc_Message_Omsg)) % 0.36/0.60 (define @t80 () (or @t18 @t79)) % 0.36/0.60 (define @t81 () (not @t79)) % 0.36/0.60 (define @t82 () (or @t81 @t75)) % 0.36/0.60 (define @t83 () (not @t82)) % 0.36/0.60 (assume @p1 @t2) % 0.36/0.60 (assume @p2 @t8) % 0.36/0.60 (assume @p3 (or @t14 (not @t13))) % 0.36/0.60 (assume @p4 (or @t18 @t17)) % 0.36/0.60 (assume @p5 (or @t16 @t14)) % 0.36/0.60 (assume @p6 (forall (@list @t24 @t23 @t21 @t19) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t24 @t23 @t21) @t22 tptp.tc_Event_Oevent)) (tptp.c_in @t21 (tptp.c_Message_Oanalz @t20) tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p7 (forall (@list @t29 @t21 @t25) (or (not (tptp.c_in @t29 (tptp.c_Message_Oparts (tptp.c_insert @t21 @t25 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not @t30) (tptp.c_in @t29 (tptp.c_union @t28 @t26 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p8 (forall (@list @t31 @t25) (or (not (tptp.c_in @t32 @t33 tptp.tc_Message_Omsg)) (tptp.c_in @t32 @t25 tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p9 (forall @t36 (or @t35 @t30))) % 0.36/0.60 (assume @p10 (forall @t36 (or @t35 (tptp.c_in @t34 @t28 tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p11 (forall (@list @t37 @t25) (or (not (tptp.c_in @t37 @t27 tptp.tc_Message_Omsg)) (tptp.c_in @t37 @t26 tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p12 (forall @t39 (or @t38 (tptp.c_in @t21 @t26 tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p13 (forall @t39 (or @t38 (tptp.c_in @t21 @t33 tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p14 (forall (@list @t19 @t23 @t21) (or (not (tptp.c_in @t19 tptp.c_OtwayRees_Ootway @t1)) (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t23 @t21) @t22 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf @t23 @t21 @t19) @t23 @t21) @t22 tptp.tc_Event_Oevent)))) % 0.36/0.60 (assume @p15 (forall (@list @t24 @t19) (or (not (tptp.c_in @t24 tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK @t24)) @t20 tptp.tc_Message_Omsg)))) % 0.36/0.60 (assume @p16 (forall (@list @t37 @t24 @t23 @t40) (or (not (tptp.c_in @t37 (tptp.c_union @t24 @t23 @t40) @t40)) (tptp.c_in @t37 @t23 @t40) (tptp.c_in @t37 @t24 @t40)))) % 0.36/0.60 (assume @p17 @t43) % 0.36/0.60 (step @p18 :rule instantiate :premises (@p12) :args ((@list @t12 @t15))) % 0.36/0.60 (step @p19 :rule reordering :premises (@p5) :args ((or @t14 @t16))) % 0.36/0.60 (step @p20 :rule instantiate :premises (@p11) :args ((@list @t12 @t9))) % 0.36/0.60 (step @p21 :rule cnf_or_pos :args (@t47)) % 0.36/0.60 (step @p22 :rule reordering :premises (@p21) :args ((or @t13 @t46 (not @t47)))) % 0.36/0.60 (step @p23 :rule instantiate :premises (@p9) :args ((@list tptp.v_X @t4 @t9))) % 0.36/0.60 (step @p24 :rule instantiate :premises (@p10) :args ((@list @t6 @t5 @t9))) % 0.36/0.60 (step @p25 :rule instantiate :premises (@p13) :args ((@list @t7 @t44))) % 0.36/0.60 (step @p26 :rule instantiate :premises (@p6) :args ((@list @t48 tptp.v_B @t7 tptp.v_evs4))) % 0.36/0.60 (step @p27 :rule instantiate :premises (@p14) :args ((@list tptp.v_evs4 tptp.v_B @t7))) % 0.36/0.60 (step @p28 :rule cnf_or_pos :args (@t52)) % 0.36/0.60 (step @p29 :rule reordering :premises (@p28) :args ((or @t51 @t50 @t49 (not @t52)))) % 0.36/0.60 (step @p30 :rule chain_m_resolution :premises (@p29 @p1 @p2 @p27) :args (@t49 (@list false false false) (@list @t2 @t8 @t52))) % 0.36/0.60 (step @p31 :rule cnf_or_pos :args (@t55)) % 0.36/0.60 (step @p32 :rule reordering :premises (@p31) :args ((or @t54 @t53 (not @t55)))) % 0.36/0.60 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26) :args (@t53 @t56 (@list @t49 @t55))) % 0.36/0.60 (step @p34 :rule cnf_or_pos :args (@t60)) % 0.36/0.60 (step @p35 :rule reordering :premises (@p34) :args ((or @t59 @t58 (not @t60)))) % 0.36/0.60 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p25) :args (@t58 @t56 (@list @t53 @t60))) % 0.36/0.60 (step @p37 :rule cnf_or_pos :args (@t63)) % 0.36/0.60 (step @p38 :rule reordering :premises (@p37) :args ((or @t61 @t62 (not @t63)))) % 0.36/0.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p24) :args (@t61 @t56 (@list @t58 @t63))) % 0.36/0.60 (step @p40 :rule cnf_or_pos :args (@t66)) % 0.36/0.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t64 @t65 (not @t66)))) % 0.36/0.60 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p23) :args (@t64 @t56 (@list @t61 @t66))) % 0.36/0.60 (step @p43 :rule instantiate :premises (@p7) :args ((@list @t12 tptp.v_X @t9))) % 0.36/0.60 (step @p44 :rule cnf_or_pos :args (@t69)) % 0.36/0.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t17 @t68 @t67 (not @t69)))) % 0.36/0.60 (step @p46 :rule instantiate :premises (@p8) :args ((@list @t11 @t44))) % 0.36/0.60 (step @p47 :rule cnf_or_pos :args (@t72)) % 0.36/0.60 (step @p48 :rule reordering :premises (@p47) :args ((or @t45 @t71 (not @t72)))) % 0.36/0.60 (step @p49 :rule instantiate :premises (@p16) :args ((@list @t12 @t57 @t10 tptp.tc_Message_Omsg))) % 0.36/0.60 (step @p50 :rule cnf_or_pos :args (@t74)) % 0.36/0.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t13 @t73 @t70 (not @t74)))) % 0.36/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p48 @p46 @p45 @p43 @p42 @p22 @p20 @p19 @p3) :args (@t14 (@list false true false false false false true false false true) (@list @t74 @t70 @t72 @t67 @t69 @t64 @t45 @t47 @t16 @t13))) % 0.36/0.60 (step @p53 :rule chain_m_resolution :premises (@p4 @p52) :args (@t17 (@list false) (@list @t14))) % 0.36/0.60 (step @p54 :rule cnf_or_pos :args (@t77)) % 0.36/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t16 @t76 (not @t77)))) % 0.36/0.60 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p18) :args (@t76 @t78 (@list @t16 @t77))) % 0.36/0.60 (step @p57 :rule instantiate :premises (@p15) :args ((@list tptp.v_A tptp.v_evs4))) % 0.36/0.60 (step @p58 :rule cnf_or_pos :args (@t80)) % 0.36/0.60 (step @p59 :rule reordering :premises (@p58) :args ((or @t18 @t79 (not @t80)))) % 0.36/0.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p52 @p57) :args (@t79 @t56 (@list @t14 @t80))) % 0.36/0.60 (step @p61 :rule cnf_or_pos :args (@t82)) % 0.36/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t81 @t75 @t83))) % 0.36/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p56) :args (@t83 (@list false true) (@list @t79 @t75))) % 0.36/0.60 (assume-push @p70 @t43) % 0.36/0.60 (step @p65 :rule instantiate :premises (@p17) :args ((@list @t12 @t9 tptp.tc_Message_Omsg tptp.v_X))) % 0.36/0.60 (step-pop @p71 :rule scope :premises (@p65)) % 0.36/0.60 (step @p66 :rule process_scope :premises (@p71) :args (@t82)) % 0.36/0.60 (step @p68 :rule implies_elim :premises (@p66)) % 0.36/0.60 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p17) :args (false @t78 (@list @t82 @t43))) % 0.36/0.60 ) % 0.36/0.61 % SZS output end Proof % 0.36/0.61 % cvc5 exiting %------------------------------------------------------------------------------