%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV348-2 : 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 : n011.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 09:01:13 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV348-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n011.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 20:04:50 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Unsatisfiable % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.v_A $$unsorted) % 0.45/0.64 (declare-const tptp.v_NA $$unsorted) % 0.45/0.64 (declare-const tptp.v_Aa $$unsorted) % 0.45/0.64 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.45/0.64 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.45/0.64 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.45/0.64 (declare-const tptp.c_Event_Oevent_ONotes (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Event_Obad $$unsorted) % 0.45/0.64 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_NB $$unsorted) % 0.45/0.64 (declare-const tptp.v_NAa $$unsorted) % 0.45/0.64 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_B $$unsorted) % 0.45/0.64 (declare-const tptp.v_evs4 $$unsorted) % 0.45/0.64 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_X $$unsorted) % 0.45/0.64 (declare-const tptp.v_K $$unsorted) % 0.45/0.64 (declare-const tptp.v_Ba $$unsorted) % 0.45/0.64 (define @t1 () (@var "V_H" $$unsorted)) % 0.45/0.64 (define @t2 () (tptp.c_Message_Oparts @t1)) % 0.45/0.64 (define @t3 () (@var "V_X" $$unsorted)) % 0.45/0.64 (define @t4 () (tptp.c_in @t3 @t2 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t5 () (@var "V_Y" $$unsorted)) % 0.45/0.64 (define @t6 () (tptp.c_Message_Omsg_OMPair @t3 @t5)) % 0.45/0.64 (define @t7 () (@list @t3 @t5 @t1)) % 0.45/0.64 (define @t8 () (tptp.c_Message_Oanalz @t1)) % 0.45/0.64 (define @t9 () (tptp.c_Message_Oparts @t8)) % 0.45/0.64 (define @t10 () (forall (@list @t1) (= @t9 @t2))) % 0.45/0.64 (define @t11 () (not (tptp.c_in @t6 @t8 tptp.tc_Message_Omsg))) % 0.45/0.64 (define @t12 () (forall @t7 (or @t11 (tptp.c_in @t5 @t8 tptp.tc_Message_Omsg)))) % 0.45/0.64 (define @t13 () (tptp.c_in @t3 @t8 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t14 () (@var "V_evs" $$unsorted)) % 0.45/0.64 (define @t15 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t14)) % 0.45/0.64 (define @t16 () (tptp.c_Message_Oanalz @t15)) % 0.45/0.64 (define @t17 () (@var "V_A" $$unsorted)) % 0.45/0.64 (define @t18 () (tptp.c_Public_OshrK @t17)) % 0.45/0.64 (define @t19 () (tptp.c_Message_Omsg_OKey @t18)) % 0.45/0.64 (define @t20 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t21 () (not (tptp.c_in @t14 tptp.c_Yahalom_Oyahalom @t20))) % 0.45/0.64 (define @t22 () (tptp.c_in @t17 tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.64 (define @t23 () (tptp.c_List_Oset @t14 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t24 () (@var "V_B" $$unsorted)) % 0.45/0.64 (define @t25 () (@var "V_nb" $$unsorted)) % 0.45/0.64 (define @t26 () (@var "V_na" $$unsorted)) % 0.45/0.64 (define @t27 () (tptp.c_Message_Omsg_OMPair @t26 @t25)) % 0.45/0.64 (define @t28 () (tptp.c_Message_Omsg_OAgent @t17)) % 0.45/0.64 (define @t29 () (tptp.c_Public_OshrK @t24)) % 0.45/0.64 (define @t30 () (tptp.c_Message_Omsg_OAgent @t24)) % 0.45/0.64 (define @t31 () (@var "V_k" $$unsorted)) % 0.45/0.64 (define @t32 () (@var "V_K" $$unsorted)) % 0.45/0.64 (define @t33 () (tptp.c_Message_Omsg_OKey @t32)) % 0.45/0.64 (define @t34 () (tptp.c_Message_Omsg_OCrypt @t18 (tptp.c_Message_Omsg_OMPair @t30 (tptp.c_Message_Omsg_OMPair @t33 @t27)))) % 0.45/0.64 (define @t35 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t17 (tptp.c_Message_Omsg_OMPair @t34 (tptp.c_Message_Omsg_OCrypt @t29 (tptp.c_Message_Omsg_OMPair @t28 @t33)))) @t23 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t36 () (@list @t14 @t17 @t24 @t32 @t26 @t25)) % 0.45/0.64 (define @t37 () (@var "V_NA" $$unsorted)) % 0.45/0.64 (define @t38 () (@var "V_NA_H" $$unsorted)) % 0.45/0.64 (define @t39 () (tptp.c_in @t25 @t16 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t40 () (@var "V_S" $$unsorted)) % 0.45/0.64 (define @t41 () (@var "V_C" $$unsorted)) % 0.45/0.64 (define @t42 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t41 @t40 (tptp.c_Message_Omsg_OMPair @t3 (tptp.c_Message_Omsg_OCrypt @t29 (tptp.c_Message_Omsg_OMPair @t28 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce @t37) @t25))))) @t23 tptp.tc_Event_Oevent))) % 0.45/0.64 (define @t43 () (@var "V_A_H" $$unsorted)) % 0.45/0.64 (define @t44 () (@var "V_B_H" $$unsorted)) % 0.45/0.64 (define @t45 () (@var "V_X_H" $$unsorted)) % 0.45/0.64 (define @t46 () (@var "V_S_H" $$unsorted)) % 0.45/0.64 (define @t47 () (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t46 (tptp.c_Message_Omsg_OMPair @t45 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t44) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t43) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce @t38) @t25))))) @t23 tptp.tc_Event_Oevent))) % 0.45/0.64 (define @t48 () (@list @t14 @t46 @t45 @t44 @t43 @t38 @t25 @t41 @t40 @t3 @t24 @t17 @t37)) % 0.45/0.64 (define @t49 () (or @t21 @t47 @t42 @t39 (= @t44 @t24))) % 0.45/0.64 (define @t50 () (forall @t48 @t49)) % 0.45/0.64 (define @t51 () (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.64 (define @t52 () (tptp.c_in tptp.v_evs4 tptp.c_Yahalom_Oyahalom @t20)) % 0.45/0.64 (define @t53 () (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t54 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.45/0.64 (define @t55 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.45/0.64 (define @t56 () (tptp.c_Message_Omsg_OMPair @t55 @t54)) % 0.45/0.64 (define @t57 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.45/0.64 (define @t58 () (tptp.c_Message_Omsg_OMPair @t57 @t56)) % 0.45/0.64 (define @t59 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.45/0.64 (define @t60 () (tptp.c_Message_Omsg_OMPair @t59 @t58)) % 0.45/0.64 (define @t61 () (tptp.c_Public_OshrK tptp.v_Aa)) % 0.45/0.64 (define @t62 () (tptp.c_Message_Omsg_OCrypt @t61 @t60)) % 0.45/0.64 (define @t63 () (tptp.c_Message_Omsg_OMPair @t62 tptp.v_X)) % 0.45/0.64 (define @t64 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Aa @t63) @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t65 () (@var "V_U" $$unsorted)) % 0.45/0.64 (define @t66 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.45/0.64 (define @t67 () (tptp.c_Public_OshrK tptp.v_B)) % 0.45/0.64 (define @t68 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.45/0.64 (define @t69 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t68 (tptp.c_Message_Omsg_OCrypt @t67 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) (tptp.c_Message_Omsg_OMPair @t66 @t54))))) @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t70 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) % 0.45/0.64 (define @t71 () (tptp.c_Message_Oanalz @t70)) % 0.45/0.64 (define @t72 () (tptp.c_in @t54 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t73 () (tptp.c_in @t57 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t74 () (tptp.c_in @t56 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t75 () (not @t74)) % 0.45/0.64 (define @t76 () (or @t75 @t72)) % 0.45/0.64 (define @t77 () (@list true false)) % 0.45/0.64 (define @t78 () (tptp.c_in @t58 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t79 () (not @t78)) % 0.45/0.64 (define @t80 () (or @t79 @t74)) % 0.45/0.64 (define @t81 () (tptp.c_in @t63 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t82 () (not @t64)) % 0.45/0.64 (define @t83 () (not @t52)) % 0.45/0.64 (define @t84 () (or @t83 @t82 @t81)) % 0.45/0.64 (define @t85 () (@list false false false)) % 0.45/0.64 (define @t86 () (tptp.c_in @t62 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t87 () (not @t81)) % 0.45/0.64 (define @t88 () (or @t87 @t86)) % 0.45/0.64 (define @t89 () (@list false false)) % 0.45/0.64 (define @t90 () (tptp.c_in @t62 (tptp.c_Message_Oparts @t71) tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t91 () (not @t86)) % 0.45/0.64 (define @t92 () (or @t91 @t90)) % 0.45/0.64 (define @t93 () (tptp.c_in @t62 (tptp.c_Message_Oparts @t70) tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t94 () (tptp.c_Message_Omsg_OAgent tptp.v_Aa)) % 0.45/0.64 (define @t95 () (tptp.c_Message_Omsg_OMPair @t94 @t57)) % 0.45/0.64 (define @t96 () (tptp.c_Public_OshrK tptp.v_Ba)) % 0.45/0.64 (define @t97 () (tptp.c_Message_Omsg_OCrypt @t96 @t95)) % 0.45/0.64 (define @t98 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair @t62 @t97)) @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t99 () (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.64 (define @t100 () (not @t93)) % 0.45/0.64 (define @t101 () (or @t83 @t100 @t99 @t98)) % 0.45/0.64 (define @t102 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t59 (tptp.c_Message_Omsg_OCrypt @t96 (tptp.c_Message_Omsg_OMPair @t94 @t56)))) @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t103 () (not @t98)) % 0.45/0.64 (define @t104 () (or @t83 @t103 @t102)) % 0.45/0.64 (define @t105 () (@list tptp.v_evs4 tptp.c_Message_Oagent_OServer @t59 tptp.v_Ba tptp.v_Aa tptp.v_NAa @t54 tptp.v_B tptp.c_Message_Oagent_OServer @t68 tptp.v_B tptp.v_A tptp.v_NA)) % 0.45/0.64 (define @t106 () (= tptp.v_NAa tptp.v_NA)) % 0.45/0.64 (define @t107 () (not @t69)) % 0.45/0.64 (define @t108 () (not @t102)) % 0.45/0.64 (define @t109 () (or @t83 @t108 @t107 @t72 @t106)) % 0.45/0.64 (define @t110 () (= tptp.v_B tptp.v_Ba)) % 0.45/0.64 (define @t111 () (or @t83 @t108 @t107 @t72 @t110)) % 0.45/0.64 (define @t112 () (tptp.c_Message_Omsg_OMPair @t54 @t57)) % 0.45/0.64 (define @t113 () (tptp.c_Message_Omsg_OMPair @t55 @t112)) % 0.45/0.64 (define @t114 () (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy @t113)) % 0.45/0.64 (define @t115 () (tptp.c_in @t114 @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t116 () (not @t115)) % 0.45/0.64 (define @t117 () (not @t106)) % 0.45/0.64 (define @t118 () (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair @t66 @t112)) @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t119 () (not @t118)) % 0.45/0.64 (define @t120 () (and @t119 @t106)) % 0.45/0.64 (define @t121 () (tptp.c_Message_Omsg_OCrypt @t67 @t95)) % 0.45/0.64 (define @t122 () (tptp.c_Message_Omsg_OMPair @t68 @t58)) % 0.45/0.64 (define @t123 () (tptp.c_Message_Omsg_OCrypt @t61 @t122)) % 0.45/0.64 (define @t124 () (tptp.c_Message_Omsg_OMPair @t123 @t121)) % 0.45/0.64 (define @t125 () (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa @t124)) % 0.45/0.64 (define @t126 () (tptp.c_in @t125 @t53 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t127 () (and @t98 @t110)) % 0.45/0.64 (define @t128 () (not @t73)) % 0.45/0.64 (define @t129 () (not @t126)) % 0.45/0.64 (define @t130 () (or @t83 @t129 @t128 @t51 @t99 @t115)) % 0.45/0.64 (define @t131 () (tptp.c_in (tptp.c_Message_Omsg_OKey @t61) @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t132 () (not @t99)) % 0.45/0.64 (define @t133 () (or @t132 @t83 @t131)) % 0.45/0.64 (define @t134 () (tptp.c_in @t60 @t71 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t135 () (not @t131)) % 0.45/0.64 (define @t136 () (or @t91 @t135 @t134)) % 0.45/0.64 (define @t137 () (not @t134)) % 0.45/0.64 (define @t138 () (or @t137 @t78)) % 0.45/0.64 (define @t139 () (not @t138)) % 0.45/0.64 (assume @p1 (forall @t7 (or (not (tptp.c_in @t6 @t2 tptp.tc_Message_Omsg)) @t4))) % 0.45/0.64 (assume @p2 (forall (@list @t3 @t1) (or (not (tptp.c_in @t3 @t1 tptp.tc_Message_Omsg)) @t4))) % 0.45/0.64 (assume @p3 @t10) % 0.45/0.64 (assume @p4 @t12) % 0.45/0.64 (assume @p5 (forall @t7 (or @t11 @t13))) % 0.45/0.64 (assume @p6 (forall (@list @t17 @t14) (or (not @t22) @t21 (tptp.c_in @t19 @t16 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p7 (forall (@list @t14 @t24 @t3) (or @t21 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t24 @t3) @t23 tptp.tc_Event_Oevent)) (tptp.c_in @t3 @t16 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p8 (forall (@list @t14 @t17 @t24 @t31 @t26 @t25 @t3) (or @t21 (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t17 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt @t18 (tptp.c_Message_Omsg_OMPair @t30 (tptp.c_Message_Omsg_OMPair @t31 @t27))) @t3)) @t23 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t30 (tptp.c_Message_Omsg_OCrypt @t29 (tptp.c_Message_Omsg_OMPair @t28 @t27)))) @t23 tptp.tc_Event_Oevent)))) % 0.45/0.64 (assume @p9 (forall (@list @t17 @t3 @t1) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t18 @t3) @t8 tptp.tc_Message_Omsg)) (not (tptp.c_in @t19 @t8 tptp.tc_Message_Omsg)) @t13))) % 0.45/0.64 (assume @p10 (forall @t36 (or @t21 (not (tptp.c_in @t34 (tptp.c_Message_Oparts @t15) tptp.tc_Message_Omsg)) @t22 @t35))) % 0.45/0.64 (assume @p11 (forall @t48 (or @t21 @t47 @t42 @t39 (= @t38 @t37)))) % 0.45/0.64 (assume @p12 @t50) % 0.45/0.64 (assume @p13 (forall @t36 (or @t21 (not @t35) (not (tptp.c_in @t33 @t16 tptp.tc_Message_Omsg)) (tptp.c_in @t24 tptp.c_Event_Obad tptp.tc_Message_Oagent) @t22 (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair @t26 (tptp.c_Message_Omsg_OMPair @t25 @t33))) @t23 tptp.tc_Event_Oevent)))) % 0.45/0.64 (assume @p14 (not @t51)) % 0.45/0.64 (assume @p15 @t52) % 0.45/0.64 (assume @p16 @t64) % 0.45/0.64 (assume @p17 (forall (@list @t65) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair @t66 (tptp.c_Message_Omsg_OMPair @t54 @t65))) @t53 tptp.tc_Event_Oevent)))) % 0.45/0.64 (assume @p18 @t69) % 0.45/0.64 (assume @p19 (not @t72)) % 0.45/0.64 (assume @p20 @t73) % 0.45/0.64 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t57 @t56 @t70))) % 0.45/0.64 (step @p22 :rule instantiate :premises (@p4) :args ((@list @t55 @t54 @t70))) % 0.45/0.64 (step @p23 :rule cnf_or_pos :args (@t76)) % 0.45/0.64 (step @p24 :rule reordering :premises (@p23) :args ((or @t72 @t75 (not @t76)))) % 0.45/0.64 (step @p25 :rule chain_m_resolution :premises (@p24 @p19 @p22) :args (@t75 @t77 (@list @t72 @t76))) % 0.45/0.64 (step @p26 :rule cnf_or_pos :args (@t80)) % 0.45/0.64 (step @p27 :rule reordering :premises (@p26) :args ((or @t74 @t79 (not @t80)))) % 0.45/0.64 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p21) :args (@t79 @t77 (@list @t74 @t80))) % 0.45/0.64 (step @p29 :rule instantiate :premises (@p9) :args ((@list tptp.v_Aa @t60 @t70))) % 0.45/0.64 (step @p30 :rule instantiate :premises (@p6) :args ((@list tptp.v_Aa tptp.v_evs4))) % 0.45/0.64 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t62 @t71))) % 0.45/0.64 (step @p32 :rule instantiate :premises (@p5) :args ((@list @t62 tptp.v_X @t70))) % 0.45/0.64 (step @p33 :rule instantiate :premises (@p7) :args ((@list tptp.v_evs4 tptp.v_Aa @t63))) % 0.45/0.64 (step @p34 :rule cnf_or_pos :args (@t84)) % 0.45/0.64 (step @p35 :rule reordering :premises (@p34) :args ((or @t83 @t82 @t81 (not @t84)))) % 0.45/0.64 (step @p36 :rule chain_m_resolution :premises (@p35 @p15 @p16 @p33) :args (@t81 @t85 (@list @t52 @t64 @t84))) % 0.45/0.64 (step @p37 :rule cnf_or_pos :args (@t88)) % 0.45/0.64 (step @p38 :rule reordering :premises (@p37) :args ((or @t87 @t86 (not @t88)))) % 0.45/0.64 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p32) :args (@t86 @t89 (@list @t81 @t88))) % 0.45/0.64 (step @p40 :rule cnf_or_pos :args (@t92)) % 0.45/0.64 (step @p41 :rule reordering :premises (@p40) :args ((or @t91 @t90 (not @t92)))) % 0.45/0.64 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p31) :args (@t90 @t89 (@list @t86 @t92))) % 0.45/0.64 (step @p43 :rule true_intro :premises (@p42)) % 0.45/0.64 (step @p44 :rule refl :args (tptp.tc_Message_Omsg)) % 0.45/0.64 (step @p45 :rule eq-symm :args (@t9 @t2)) % 0.45/0.64 (step @p46 :rule cong :premises (@p45) :args (@t10)) % 0.45/0.64 (step @p47 :rule eq_resolve :premises (@p3 @p46)) % 0.45/0.64 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t70))) % 0.45/0.64 (step @p49 :rule refl :args (@t62)) % 0.45/0.64 (step @p50 :rule cong :premises (@p49 @p48 @p44) :args (@t93)) % 0.45/0.64 (step @p51 :rule trans :premises (@p50 @p43)) % 0.45/0.64 (step @p52 :rule true_elim :premises (@p51)) % 0.45/0.64 (step @p53 :rule instantiate :premises (@p10) :args ((@list tptp.v_evs4 tptp.v_Aa tptp.v_Ba tptp.v_K @t55 @t54))) % 0.45/0.64 (step @p54 :rule cnf_or_pos :args (@t101)) % 0.45/0.64 (step @p55 :rule reordering :premises (@p54) :args ((or @t83 @t99 @t100 @t98 (not @t101)))) % 0.45/0.64 (step @p56 :rule instantiate :premises (@p8) :args ((@list tptp.v_evs4 tptp.v_Aa tptp.v_Ba @t57 @t55 @t54 @t97))) % 0.45/0.64 (step @p57 :rule cnf_or_pos :args (@t104)) % 0.45/0.64 (step @p58 :rule reordering :premises (@p57) :args ((or @t83 @t102 @t103 (not @t104)))) % 0.45/0.64 (step @p59 :rule instantiate :premises (@p11) :args (@t105)) % 0.45/0.64 (step @p60 :rule cnf_or_pos :args (@t109)) % 0.45/0.64 (step @p61 :rule reordering :premises (@p60) :args ((or @t72 @t83 @t107 @t108 @t106 (not @t109)))) % 0.45/0.64 (step @p62 :rule eq-symm :args (@t44 @t24)) % 0.45/0.64 (step @p63 :rule refl :args (@t39)) % 0.45/0.64 (step @p64 :rule refl :args (@t42)) % 0.45/0.64 (step @p65 :rule refl :args (@t47)) % 0.45/0.64 (step @p66 :rule refl :args (@t21)) % 0.45/0.64 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63 @p62) :args (@t49)) % 0.45/0.64 (step @p68 :rule cong :premises (@p67) :args (@t50)) % 0.45/0.64 (step @p69 :rule eq_resolve :premises (@p12 @p68)) % 0.45/0.64 (step @p70 :rule instantiate :premises (@p69) :args (@t105)) % 0.45/0.64 (step @p71 :rule cnf_or_pos :args (@t111)) % 0.45/0.64 (step @p72 :rule reordering :premises (@p71) :args ((or @t72 @t83 @t107 @t108 @t110 (not @t111)))) % 0.45/0.64 (step @p73 :rule instantiate :premises (@p17) :args ((@list @t57))) % 0.45/0.64 (step @p74 :rule refl :args (@t116)) % 0.45/0.64 (step @p75 :rule refl :args (@t117)) % 0.45/0.64 (step @p76 :rule bool-double-not-elim :args (@t118)) % 0.45/0.64 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74) :args ((or (not @t119) @t117 @t116))) % 0.45/0.64 (assume-push @p157 @t119) % 0.45/0.64 (assume-push @p158 @t106) % 0.45/0.64 (assume-push @p159 @t119) % 0.45/0.64 (assume-push @p160 @t106) % 0.45/0.64 (step @p82 :rule false_intro :premises (@p73)) % 0.45/0.64 (step @p83 :rule refl :args (tptp.tc_Event_Oevent)) % 0.45/0.64 (step @p84 :rule refl :args (@t53)) % 0.45/0.64 (step @p85 :rule refl :args (@t112)) % 0.45/0.64 (step @p86 :rule cong :premises (@p158) :args (@t55)) % 0.45/0.65 (step @p87 :rule cong :premises (@p86 @p85) :args (@t113)) % 0.45/0.65 (step @p88 :rule refl :args (tptp.c_Message_Oagent_OSpy)) % 0.45/0.65 (step @p89 :rule cong :premises (@p88 @p87) :args (@t114)) % 0.45/0.65 (step @p90 :rule cong :premises (@p89 @p84 @p83) :args (@t115)) % 0.45/0.65 (step @p91 :rule trans :premises (@p90 @p82)) % 0.45/0.65 (step @p92 :rule false_elim :premises (@p91)) % 0.45/0.65 (step-pop @p161 :rule scope :premises (@p92)) % 0.45/0.65 (step-pop @p162 :rule scope :premises (@p161)) % 0.45/0.65 (step @p93 :rule process_scope :premises (@p162) :args (@t116)) % 0.45/0.65 (step @p96 :rule and_intro :premises (@p73 @p158)) % 0.45/0.65 (step @p97 :rule modus_ponens :premises (@p96 @p93)) % 0.45/0.65 (step-pop @p163 :rule scope :premises (@p97)) % 0.45/0.65 (step-pop @p164 :rule scope :premises (@p163)) % 0.45/0.65 (step @p98 :rule process_scope :premises (@p164) :args (@t116)) % 0.45/0.65 (step @p101 :rule implies_elim :premises (@p98)) % 0.45/0.65 (step @p102 :rule cnf_and_neg :args (@t120)) % 0.45/0.65 (step @p103 :rule resolution :premises (@p102 @p101) :args (true @t120)) % 0.45/0.65 (step @p104 :rule eq_resolve :premises (@p103 @p77)) % 0.45/0.65 (step @p105 :rule reordering :premises (@p104) :args ((or @t116 @t118 @t117))) % 0.45/0.65 (assume-push @p165 @t98) % 0.45/0.65 (assume-push @p166 @t110) % 0.45/0.65 (assume-push @p167 @t98) % 0.45/0.65 (assume-push @p168 @t110) % 0.45/0.65 (step @p110 :rule true_intro :premises (@p165)) % 0.45/0.65 (step @p83 :rule refl :args (tptp.tc_Event_Oevent)) % 0.45/0.65 (step @p84 :rule refl :args (@t53)) % 0.45/0.65 (step @p111 :rule refl :args (@t95)) % 0.45/0.65 (step @p112 :rule cong :premises (@p166) :args (@t67)) % 0.45/0.65 (step @p113 :rule cong :premises (@p112 @p111) :args (@t121)) % 0.45/0.65 (step @p114 :rule refl :args (@t58)) % 0.45/0.65 (step @p115 :rule cong :premises (@p166) :args (@t68)) % 0.45/0.65 (step @p116 :rule cong :premises (@p115 @p114) :args (@t122)) % 0.45/0.65 (step @p117 :rule refl :args (@t61)) % 0.45/0.65 (step @p118 :rule cong :premises (@p117 @p116) :args (@t123)) % 0.45/0.65 (step @p119 :rule cong :premises (@p118 @p113) :args (@t124)) % 0.45/0.65 (step @p120 :rule refl :args (tptp.v_Aa)) % 0.45/0.65 (step @p121 :rule refl :args (tptp.c_Message_Oagent_OServer)) % 0.45/0.65 (step @p122 :rule cong :premises (@p121 @p120 @p119) :args (@t125)) % 0.45/0.65 (step @p123 :rule cong :premises (@p122 @p84 @p83) :args (@t126)) % 0.45/0.65 (step @p124 :rule trans :premises (@p123 @p110)) % 0.45/0.65 (step @p125 :rule true_elim :premises (@p124)) % 0.45/0.65 (step-pop @p169 :rule scope :premises (@p125)) % 0.45/0.65 (step-pop @p170 :rule scope :premises (@p169)) % 0.45/0.65 (step @p126 :rule process_scope :premises (@p170) :args (@t126)) % 0.45/0.65 (step @p129 :rule and_intro :premises (@p165 @p166)) % 0.45/0.65 (step @p130 :rule modus_ponens :premises (@p129 @p126)) % 0.45/0.65 (step-pop @p171 :rule scope :premises (@p130)) % 0.45/0.65 (step-pop @p172 :rule scope :premises (@p171)) % 0.45/0.65 (step @p131 :rule process_scope :premises (@p172) :args (@t126)) % 0.45/0.65 (step @p134 :rule implies_elim :premises (@p131)) % 0.45/0.65 (step @p135 :rule cnf_and_neg :args (@t127)) % 0.45/0.65 (step @p136 :rule resolution :premises (@p135 @p134) :args (true @t127)) % 0.45/0.65 (step @p137 :rule reordering :premises (@p136) :args ((or @t126 @t103 (not @t110)))) % 0.45/0.65 (step @p138 :rule instantiate :premises (@p13) :args ((@list tptp.v_evs4 tptp.v_Aa tptp.v_B tptp.v_K @t55 @t54))) % 0.45/0.65 (step @p139 :rule cnf_or_pos :args (@t130)) % 0.45/0.65 (step @p140 :rule reordering :premises (@p139) :args ((or @t51 @t83 @t128 @t99 @t115 @t129 (not @t130)))) % 0.45/0.65 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p20 @p15 @p14 @p137 @p105 @p73 @p72 @p70 @p19 @p18 @p15 @p61 @p59 @p19 @p18 @p15 @p58 @p56 @p15 @p55 @p53 @p52 @p15) :args (@t99 (@list false false false true false true true false false true false false false false true false false false false false false false false false) (@list @t130 @t73 @t52 @t51 @t126 @t115 @t118 @t110 @t111 @t72 @t69 @t52 @t106 @t109 @t72 @t69 @t52 @t102 @t104 @t52 @t98 @t101 @t93 @t52))) % 0.45/0.65 (step @p142 :rule cnf_or_pos :args (@t133)) % 0.45/0.65 (step @p143 :rule reordering :premises (@p142) :args ((or @t83 @t131 @t132 (not @t133)))) % 0.45/0.65 (step @p144 :rule chain_m_resolution :premises (@p143 @p15 @p141 @p30) :args (@t131 @t85 (@list @t52 @t99 @t133))) % 0.45/0.65 (step @p145 :rule cnf_or_pos :args (@t136)) % 0.45/0.65 (step @p146 :rule reordering :premises (@p145) :args ((or @t91 @t135 @t134 (not @t136)))) % 0.45/0.65 (step @p147 :rule chain_m_resolution :premises (@p146 @p39 @p144 @p29) :args (@t134 @t85 (@list @t86 @t131 @t136))) % 0.45/0.65 (step @p148 :rule cnf_or_pos :args (@t138)) % 0.45/0.65 (step @p149 :rule reordering :premises (@p148) :args ((or @t137 @t78 @t139))) % 0.45/0.65 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p28) :args (@t139 (@list false true) (@list @t134 @t78))) % 0.45/0.65 (assume-push @p173 @t12) % 0.45/0.65 (step @p152 :rule instantiate :premises (@p4) :args ((@list @t59 @t58 @t70))) % 0.45/0.65 (step-pop @p174 :rule scope :premises (@p152)) % 0.45/0.65 (step @p153 :rule process_scope :premises (@p174) :args (@t138)) % 0.45/0.65 (step @p155 :rule implies_elim :premises (@p153)) % 0.45/0.65 (step @p156 false :rule chain_m_resolution :premises (@p155 @p150 @p4) :args (false @t77 (@list @t138 @t12))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------