%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV354-2 : 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 : n016.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 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV354-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 20:06:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.59 % SZS status Unsatisfiable % 0.41/0.59 % SZS output start Proof % 0.41/0.59 ( % 0.41/0.59 (declare-sort $$unsorted 0) % 0.41/0.59 (declare-const tptp.v_B $$unsorted) % 0.41/0.59 (declare-const tptp.v_A $$unsorted) % 0.41/0.59 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.v_X $$unsorted) % 0.41/0.59 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.41/0.59 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.v_NAa $$unsorted) % 0.41/0.59 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.59 (declare-const tptp.v_evso $$unsorted) % 0.41/0.59 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.41/0.59 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.41/0.59 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.41/0.59 (declare-const tptp.v_Aa $$unsorted) % 0.41/0.59 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.v_K $$unsorted) % 0.41/0.60 (declare-const tptp.v_sko__2VY (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.v_Ba $$unsorted) % 0.41/0.60 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.41/0.60 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.41/0.60 (declare-const tptp.v_NB $$unsorted) % 0.41/0.60 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.41/0.60 (declare-const tptp.v_NBa $$unsorted) % 0.41/0.60 (declare-const tptp.v_NA $$unsorted) % 0.41/0.60 (define @t1 () (@var "V_KAB" $$unsorted)) % 0.41/0.60 (define @t2 () (= @t1 (tptp.c_Public_OshrK (tptp.v_sko__2VY @t1)))) % 0.41/0.60 (define @t3 () (@var "V_NB_H" $$unsorted)) % 0.41/0.60 (define @t4 () (@var "V_NB" $$unsorted)) % 0.41/0.60 (define @t5 () (@var "V_evs" $$unsorted)) % 0.41/0.60 (define @t6 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t5)) % 0.41/0.60 (define @t7 () (tptp.c_Message_Oanalz @t6)) % 0.41/0.60 (define @t8 () (tptp.c_Message_Omsg_ONonce @t4)) % 0.41/0.60 (define @t9 () (tptp.c_in @t8 @t7 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t10 () (tptp.c_Message_Omsg_OKey @t1)) % 0.41/0.60 (define @t11 () (not (tptp.c_in @t8 (tptp.c_Message_Oanalz (tptp.c_insert @t10 @t6 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) % 0.41/0.60 (define @t12 () (tptp.c_List_Oset @t5 tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t13 () (@var "V_X" $$unsorted)) % 0.41/0.60 (define @t14 () (@var "V_na" $$unsorted)) % 0.41/0.60 (define @t15 () (@var "V_B" $$unsorted)) % 0.41/0.60 (define @t16 () (tptp.c_Message_Omsg_OAgent @t15)) % 0.41/0.60 (define @t17 () (@var "V_A" $$unsorted)) % 0.41/0.60 (define @t18 () (tptp.c_Public_OshrK @t17)) % 0.41/0.60 (define @t19 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t17 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt @t18 (tptp.c_Message_Omsg_OMPair @t16 (tptp.c_Message_Omsg_OMPair @t10 (tptp.c_Message_Omsg_OMPair @t14 (tptp.c_Message_Omsg_ONonce @t3))))) @t13)) @t12 tptp.tc_Event_Oevent))) % 0.41/0.60 (define @t20 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t21 () (not (tptp.c_in @t5 tptp.c_Yahalom_Oyahalom @t20))) % 0.41/0.60 (define @t22 () (or @t21 @t19 @t11 @t9 (= @t4 @t3) @t2)) % 0.41/0.60 (define @t23 () (forall (@list @t5 @t17 @t15 @t1 @t14 @t3 @t13 @t4) @t22)) % 0.41/0.60 (define @t24 () (@var "V_nb" $$unsorted)) % 0.41/0.60 (define @t25 () (tptp.c_Message_Omsg_OMPair @t14 @t24)) % 0.41/0.60 (define @t26 () (tptp.c_Message_Omsg_OAgent @t17)) % 0.41/0.60 (define @t27 () (tptp.c_Public_OshrK @t15)) % 0.41/0.60 (define @t28 () (@var "V_k" $$unsorted)) % 0.41/0.60 (define @t29 () (@var "V_NA" $$unsorted)) % 0.41/0.60 (define @t30 () (@var "V_NA_H" $$unsorted)) % 0.41/0.60 (define @t31 () (@var "V_S" $$unsorted)) % 0.41/0.60 (define @t32 () (@var "V_C" $$unsorted)) % 0.41/0.60 (define @t33 () (@var "V_A_H" $$unsorted)) % 0.41/0.60 (define @t34 () (@var "V_B_H" $$unsorted)) % 0.41/0.60 (define @t35 () (@var "V_X_H" $$unsorted)) % 0.41/0.60 (define @t36 () (@var "V_S_H" $$unsorted)) % 0.41/0.60 (define @t37 () (@var "V_x" $$unsorted)) % 0.41/0.60 (define @t38 () (tptp.c_in tptp.v_evso tptp.c_Yahalom_Oyahalom @t20)) % 0.41/0.60 (define @t39 () (tptp.c_List_Oset tptp.v_evso tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t40 () (tptp.c_Message_Omsg_ONonce tptp.v_NBa)) % 0.41/0.60 (define @t41 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.41/0.60 (define @t42 () (tptp.c_Message_Omsg_OMPair @t41 @t40)) % 0.41/0.60 (define @t43 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.41/0.60 (define @t44 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.41/0.60 (define @t45 () (tptp.c_Public_OshrK tptp.v_Aa)) % 0.41/0.60 (define @t46 () (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 @t45 (tptp.c_Message_Omsg_OMPair @t44 (tptp.c_Message_Omsg_OMPair @t43 @t42))) tptp.v_X)) @t39 tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t47 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.41/0.60 (define @t48 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.41/0.60 (define @t49 () (tptp.c_Message_Omsg_OAgent tptp.v_A)) % 0.41/0.60 (define @t50 () (tptp.c_Public_OshrK tptp.v_B)) % 0.41/0.60 (define @t51 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.41/0.60 (define @t52 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t51 (tptp.c_Message_Omsg_OCrypt @t50 (tptp.c_Message_Omsg_OMPair @t49 (tptp.c_Message_Omsg_OMPair @t48 @t47))))) @t39 tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t53 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evso)) % 0.41/0.60 (define @t54 () (tptp.c_Message_Oanalz @t53)) % 0.41/0.60 (define @t55 () (tptp.c_in @t47 @t54 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t56 () (not @t55)) % 0.41/0.60 (define @t57 () (tptp.c_in @t47 (tptp.c_Message_Oanalz (tptp.c_insert @t43 @t53 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t58 () (not (= tptp.v_NB tptp.v_NBa))) % 0.41/0.60 (define @t59 () (not (= tptp.v_NA tptp.v_NAa))) % 0.41/0.60 (define @t60 () (@var "V_U" $$unsorted)) % 0.41/0.60 (define @t61 () (not (= @t60 @t43))) % 0.41/0.60 (define @t62 () (or @t61 @t59 @t58)) % 0.41/0.60 (define @t63 () (@list @t60)) % 0.41/0.60 (define @t64 () (forall @t63 @t62)) % 0.41/0.60 (define @t65 () (tptp.v_sko__2VY tptp.v_K)) % 0.41/0.60 (define @t66 () (tptp.c_Public_OshrK @t65)) % 0.41/0.60 (define @t67 () (tptp.c_Message_Omsg_OKey @t66)) % 0.41/0.60 (define @t68 () (tptp.c_Message_Omsg_OMPair @t67 @t42)) % 0.41/0.60 (define @t69 () (tptp.c_Message_Omsg_OMPair @t44 @t68)) % 0.41/0.60 (define @t70 () (tptp.c_Message_Omsg_OCrypt @t45 @t69)) % 0.41/0.60 (define @t71 () (tptp.c_Message_Omsg_OMPair @t70 tptp.v_X)) % 0.41/0.60 (define @t72 () (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa @t71)) % 0.41/0.60 (define @t73 () (tptp.c_in @t72 @t39 tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t74 () (not @t73)) % 0.41/0.60 (define @t75 () (not @t38)) % 0.41/0.60 (define @t76 () (or @t75 @t74)) % 0.41/0.60 (define @t77 () (= tptp.v_K @t66)) % 0.41/0.60 (define @t78 () (not @t77)) % 0.41/0.60 (define @t79 () (not @t46)) % 0.41/0.60 (define @t80 () (= tptp.v_NBa tptp.v_NB)) % 0.41/0.60 (define @t81 () (not @t57)) % 0.41/0.60 (define @t82 () (or @t75 @t79 @t81 @t55 @t80 @t77)) % 0.41/0.60 (define @t83 () (not @t80)) % 0.41/0.60 (define @t84 () (= tptp.v_NAa tptp.v_NA)) % 0.41/0.60 (define @t85 () (not @t84)) % 0.41/0.60 (define @t86 () (not (= @t43 @t43))) % 0.41/0.60 (define @t87 () (not (= @t43 @t60))) % 0.41/0.60 (define @t88 () (or @t87 @t87)) % 0.41/0.60 (define @t89 () (forall @t63 @t87)) % 0.41/0.60 (define @t90 () (or @t85 @t83 @t89)) % 0.41/0.60 (define @t91 () (or @t85 @t83 @t87)) % 0.41/0.60 (define @t92 () (or @t87 @t85 @t83)) % 0.41/0.60 (define @t93 () (tptp.c_in @t40 @t54 tptp.tc_Message_Omsg)) % 0.41/0.60 (define @t94 () (not @t93)) % 0.41/0.60 (define @t95 () (and @t56 @t80)) % 0.41/0.60 (define @t96 () (tptp.c_Message_Omsg_OMPair @t48 @t40)) % 0.41/0.60 (define @t97 () (tptp.c_Message_Omsg_OMPair @t49 @t96)) % 0.41/0.60 (define @t98 () (tptp.c_Message_Omsg_OCrypt @t50 @t97)) % 0.41/0.60 (define @t99 () (tptp.c_Message_Omsg_OMPair @t51 @t98)) % 0.41/0.60 (define @t100 () (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer @t99)) % 0.41/0.60 (define @t101 () (tptp.c_in @t100 @t39 tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t102 () (and @t52 @t80)) % 0.41/0.60 (define @t103 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t44 (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) @t42)))) @t39 tptp.tc_Event_Oevent)) % 0.41/0.60 (define @t104 () (or @t75 @t79 @t103)) % 0.41/0.60 (define @t105 () (not @t101)) % 0.41/0.60 (define @t106 () (not @t103)) % 0.41/0.60 (define @t107 () (or @t75 @t106 @t105 @t93 @t84)) % 0.41/0.60 (assume @p1 @t23) % 0.41/0.60 (assume @p2 (forall (@list @t5 @t17 @t15 @t28 @t14 @t24 @t13) (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 @t16 (tptp.c_Message_Omsg_OMPair @t28 @t25))) @t13)) @t12 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t16 (tptp.c_Message_Omsg_OCrypt @t27 (tptp.c_Message_Omsg_OMPair @t26 @t25)))) @t12 tptp.tc_Event_Oevent)))) % 0.41/0.60 (assume @p3 (forall (@list @t5 @t36 @t35 @t34 @t33 @t30 @t24 @t32 @t31 @t13 @t15 @t17 @t29) (or @t21 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t36 (tptp.c_Message_Omsg_OMPair @t35 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t34) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t33) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce @t30) @t24))))) @t12 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays @t32 @t31 (tptp.c_Message_Omsg_OMPair @t13 (tptp.c_Message_Omsg_OCrypt @t27 (tptp.c_Message_Omsg_OMPair @t26 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce @t29) @t24))))) @t12 tptp.tc_Event_Oevent)) (tptp.c_in @t24 @t7 tptp.tc_Message_Omsg) (= @t30 @t29)))) % 0.41/0.60 (assume @p4 (forall (@list @t5 @t17 @t15 @t37 @t14 @t24 @t13) (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 @t16 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK @t37)) @t25))) @t13)) @t12 tptp.tc_Event_Oevent))))) % 0.41/0.60 (assume @p5 @t38) % 0.41/0.60 (assume @p6 @t46) % 0.41/0.60 (assume @p7 @t52) % 0.41/0.60 (assume @p8 @t56) % 0.41/0.60 (assume @p9 @t57) % 0.41/0.60 (assume @p10 @t64) % 0.41/0.60 (step @p11 :rule refl :args (@t2)) % 0.41/0.60 (step @p12 :rule eq-symm :args (@t4 @t3)) % 0.41/0.60 (step @p13 :rule refl :args (@t9)) % 0.41/0.60 (step @p14 :rule refl :args (@t11)) % 0.41/0.60 (step @p15 :rule refl :args (@t19)) % 0.41/0.60 (step @p16 :rule refl :args (@t21)) % 0.41/0.60 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14 @p13 @p12 @p11) :args (@t22)) % 0.41/0.60 (step @p18 :rule cong :premises (@p17) :args (@t23)) % 0.41/0.60 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.41/0.60 (step @p20 :rule instantiate :premises (@p19) :args ((@list tptp.v_evso tptp.v_Aa tptp.v_Ba tptp.v_K @t41 tptp.v_NBa tptp.v_X tptp.v_NB))) % 0.41/0.60 (step @p21 :rule instantiate :premises (@p4) :args ((@list tptp.v_evso tptp.v_Aa tptp.v_Ba @t65 @t41 @t40 tptp.v_X))) % 0.41/0.60 (step @p22 :rule cnf_or_pos :args (@t76)) % 0.41/0.60 (step @p23 :rule reordering :premises (@p22) :args ((or @t75 @t74 (not @t76)))) % 0.41/0.60 (step @p24 :rule chain_m_resolution :premises (@p23 @p5 @p21) :args (@t74 (@list false false) (@list @t38 @t76))) % 0.41/0.60 (step @p25 :rule bool-double-not-elim :args (@t73)) % 0.41/0.60 (step @p26 :rule refl :args (@t78)) % 0.41/0.60 (step @p27 :rule refl :args (@t79)) % 0.41/0.60 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args ((or @t79 @t78 (not @t74)))) % 0.41/0.60 (assume-push @p165 @t46) % 0.41/0.60 (assume-push @p166 @t77) % 0.41/0.60 (assume-push @p167 @t74) % 0.41/0.60 (step @p32 :rule evaluate :args ((= false true))) % 0.41/0.60 (step @p33 :rule true_intro :premises (@p6)) % 0.41/0.60 (step @p34 :rule refl :args (tptp.tc_Event_Oevent)) % 0.41/0.60 (step @p35 :rule refl :args (@t39)) % 0.41/0.60 (step @p36 :rule refl :args (tptp.v_X)) % 0.41/0.60 (step @p37 :rule refl :args (@t42)) % 0.41/0.60 (step @p38 :rule symm :premises (@p166)) % 0.41/0.60 (step @p39 :rule cong :premises (@p38) :args (@t67)) % 0.41/0.60 (step @p40 :rule cong :premises (@p39 @p37) :args (@t68)) % 0.41/0.60 (step @p41 :rule refl :args (@t44)) % 0.41/0.60 (step @p42 :rule cong :premises (@p41 @p40) :args (@t69)) % 0.41/0.60 (step @p43 :rule refl :args (@t45)) % 0.41/0.60 (step @p44 :rule cong :premises (@p43 @p42) :args (@t70)) % 0.41/0.60 (step @p45 :rule cong :premises (@p44 @p36) :args (@t71)) % 0.41/0.60 (step @p46 :rule refl :args (tptp.v_Aa)) % 0.41/0.60 (step @p47 :rule refl :args (tptp.c_Message_Oagent_OServer)) % 0.41/0.60 (step @p48 :rule cong :premises (@p47 @p46 @p45) :args (@t72)) % 0.41/0.60 (step @p49 :rule cong :premises (@p48 @p35 @p34) :args (@t73)) % 0.41/0.60 (step @p50 :rule false_intro :premises (@p24)) % 0.41/0.60 (step @p51 :rule symm :premises (@p50)) % 0.41/0.60 (step @p52 :rule trans :premises (@p51 @p49 @p33)) % 0.41/0.60 (step @p53 false :rule eq_resolve :premises (@p52 @p32)) % 0.41/0.60 (step-pop @p168 :rule scope :premises (@p53)) % 0.41/0.60 (step-pop @p169 :rule scope :premises (@p168)) % 0.41/0.60 (step-pop @p170 :rule scope :premises (@p169)) % 0.41/0.60 (step @p54 :rule process_scope :premises (@p170) :args (false)) % 0.41/0.60 (step @p58 :rule not_and :premises (@p54)) % 0.41/0.60 (step @p59 :rule eq_resolve :premises (@p58 @p28)) % 0.41/0.60 (step @p60 :rule chain_m_resolution :premises (@p59 @p6 @p24) :args (@t78 (@list false true) (@list @t46 @t73))) % 0.41/0.60 (step @p61 :rule cnf_or_pos :args (@t82)) % 0.41/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t55 @t80 @t75 @t79 @t81 @t77 (not @t82)))) % 0.41/0.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p8 @p5 @p6 @p9 @p60 @p20) :args (@t80 (@list true false false false true false) (@list @t55 @t38 @t46 @t57 @t77 @t82))) % 0.41/0.60 (step @p64 :rule aci_norm :args ((= (or @t85 @t83 false) (or @t85 @t83)))) % 0.41/0.60 (step @p65 :rule evaluate :args ((not true))) % 0.41/0.60 (step @p66 :rule eq-refl :args (@t43)) % 0.41/0.60 (step @p67 :rule cong :premises (@p66) :args (@t86)) % 0.41/0.60 (step @p68 :rule trans :premises (@p67 @p65)) % 0.41/0.60 (step @p69 :rule quant-var-elim-eq :args ((= (forall @t63 (or @t61 @t87)) @t86))) % 0.41/0.60 (step @p70 :rule refl :args (@t87)) % 0.41/0.60 (step @p71 :rule eq-symm :args (@t43 @t60)) % 0.41/0.60 (step @p72 :rule cong :premises (@p71) :args (@t87)) % 0.41/0.60 (step @p73 :rule nary_cong :premises (@p72 @p70) :args (@t88)) % 0.41/0.60 (step @p74 :rule aci_norm :args ((= @t87 @t88))) % 0.41/0.60 (step @p75 :rule trans :premises (@p74 @p73)) % 0.41/0.60 (step @p76 :rule cong :premises (@p75) :args (@t89)) % 0.41/0.60 (step @p77 :rule trans :premises (@p76 @p69)) % 0.41/0.60 (step @p78 :rule trans :premises (@p77 @p68)) % 0.41/0.60 (step @p79 :rule refl :args (@t83)) % 0.41/0.60 (step @p80 :rule refl :args (@t85)) % 0.41/0.60 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t90)) % 0.41/0.60 (step @p82 :rule trans :premises (@p81 @p64)) % 0.41/0.60 (step @p83 :rule quant-miniscope-or :args ((= (forall @t63 @t91) @t90))) % 0.41/0.60 (step @p84 :rule aci_norm :args ((= @t92 @t91))) % 0.41/0.60 (step @p85 :rule cong :premises (@p84) :args ((forall @t63 @t92))) % 0.41/0.60 (step @p86 :rule trans :premises (@p85 @p83)) % 0.41/0.60 (step @p87 :rule trans :premises (@p86 @p82)) % 0.41/0.60 (step @p88 :rule eq-symm :args (tptp.v_NB tptp.v_NBa)) % 0.41/0.60 (step @p89 :rule cong :premises (@p88) :args (@t58)) % 0.41/0.60 (step @p90 :rule eq-symm :args (tptp.v_NA tptp.v_NAa)) % 0.41/0.60 (step @p91 :rule cong :premises (@p90) :args (@t59)) % 0.41/0.60 (step @p92 :rule eq-symm :args (@t60 @t43)) % 0.41/0.60 (step @p93 :rule cong :premises (@p92) :args (@t61)) % 0.41/0.60 (step @p94 :rule nary_cong :premises (@p93 @p91 @p89) :args (@t62)) % 0.41/0.60 (step @p95 :rule cong :premises (@p94) :args (@t64)) % 0.41/0.60 (step @p96 :rule trans :premises (@p95 @p87)) % 0.41/0.60 (step @p97 :rule eq_resolve :premises (@p10 @p96)) % 0.41/0.60 (step @p98 :rule chain_m_resolution :premises (@p97 @p63) :args (@t85 (@list false) (@list @t80))) % 0.41/0.60 (step @p99 :rule refl :args (@t94)) % 0.41/0.60 (step @p100 :rule bool-double-not-elim :args (@t55)) % 0.41/0.60 (step @p101 :rule nary_cong :premises (@p100 @p79 @p99) :args ((or (not @t56) @t83 @t94))) % 0.41/0.60 (assume-push @p171 @t56) % 0.41/0.60 (assume-push @p172 @t80) % 0.41/0.60 (assume-push @p173 @t56) % 0.41/0.60 (assume-push @p174 @t80) % 0.41/0.60 (step @p106 :rule false_intro :premises (@p8)) % 0.41/0.60 (step @p107 :rule refl :args (tptp.tc_Message_Omsg)) % 0.41/0.60 (step @p108 :rule refl :args (@t54)) % 0.41/0.60 (step @p109 :rule cong :premises (@p172) :args (@t40)) % 0.41/0.60 (step @p110 :rule cong :premises (@p109 @p108 @p107) :args (@t93)) % 0.41/0.60 (step @p111 :rule trans :premises (@p110 @p106)) % 0.41/0.60 (step @p112 :rule false_elim :premises (@p111)) % 0.41/0.60 (step-pop @p175 :rule scope :premises (@p112)) % 0.41/0.60 (step-pop @p176 :rule scope :premises (@p175)) % 0.41/0.60 (step @p113 :rule process_scope :premises (@p176) :args (@t94)) % 0.41/0.60 (step @p116 :rule and_intro :premises (@p8 @p172)) % 0.41/0.60 (step @p117 :rule modus_ponens :premises (@p116 @p113)) % 0.41/0.60 (step-pop @p177 :rule scope :premises (@p117)) % 0.41/0.60 (step-pop @p178 :rule scope :premises (@p177)) % 0.41/0.60 (step @p118 :rule process_scope :premises (@p178) :args (@t94)) % 0.41/0.60 (step @p121 :rule implies_elim :premises (@p118)) % 0.41/0.60 (step @p122 :rule cnf_and_neg :args (@t95)) % 0.41/0.60 (step @p123 :rule resolution :premises (@p122 @p121) :args (true @t95)) % 0.41/0.60 (step @p124 :rule eq_resolve :premises (@p123 @p101)) % 0.41/0.60 (assume-push @p179 @t52) % 0.41/0.60 (assume-push @p180 @t80) % 0.41/0.60 (assume-push @p181 @t52) % 0.41/0.60 (assume-push @p182 @t80) % 0.41/0.60 (step @p129 :rule true_intro :premises (@p7)) % 0.41/0.60 (step @p34 :rule refl :args (tptp.tc_Event_Oevent)) % 0.41/0.60 (step @p35 :rule refl :args (@t39)) % 0.41/0.60 (step @p130 :rule cong :premises (@p180) :args (@t40)) % 0.41/0.60 (step @p131 :rule refl :args (@t48)) % 0.41/0.60 (step @p132 :rule cong :premises (@p131 @p130) :args (@t96)) % 0.41/0.60 (step @p133 :rule refl :args (@t49)) % 0.41/0.60 (step @p134 :rule cong :premises (@p133 @p132) :args (@t97)) % 0.41/0.60 (step @p135 :rule refl :args (@t50)) % 0.41/0.60 (step @p136 :rule cong :premises (@p135 @p134) :args (@t98)) % 0.41/0.60 (step @p137 :rule refl :args (@t51)) % 0.41/0.60 (step @p138 :rule cong :premises (@p137 @p136) :args (@t99)) % 0.41/0.60 (step @p47 :rule refl :args (tptp.c_Message_Oagent_OServer)) % 0.41/0.60 (step @p139 :rule refl :args (tptp.v_B)) % 0.41/0.60 (step @p140 :rule cong :premises (@p139 @p47 @p138) :args (@t100)) % 0.41/0.60 (step @p141 :rule cong :premises (@p140 @p35 @p34) :args (@t101)) % 0.41/0.60 (step @p142 :rule trans :premises (@p141 @p129)) % 0.41/0.60 (step @p143 :rule true_elim :premises (@p142)) % 0.41/0.60 (step-pop @p183 :rule scope :premises (@p143)) % 0.41/0.60 (step-pop @p184 :rule scope :premises (@p183)) % 0.41/0.60 (step @p144 :rule process_scope :premises (@p184) :args (@t101)) % 0.41/0.60 (step @p147 :rule and_intro :premises (@p7 @p180)) % 0.41/0.60 (step @p148 :rule modus_ponens :premises (@p147 @p144)) % 0.41/0.60 (step-pop @p185 :rule scope :premises (@p148)) % 0.41/0.60 (step-pop @p186 :rule scope :premises (@p185)) % 0.41/0.60 (step @p149 :rule process_scope :premises (@p186) :args (@t101)) % 0.41/0.60 (step @p152 :rule implies_elim :premises (@p149)) % 0.41/0.60 (step @p153 :rule cnf_and_neg :args (@t102)) % 0.41/0.60 (step @p154 :rule resolution :premises (@p153 @p152) :args (true @t102)) % 0.41/0.60 (step @p155 :rule reordering :premises (@p154) :args ((or @t83 (not @t52) @t101))) % 0.41/0.60 (step @p156 :rule instantiate :premises (@p2) :args ((@list tptp.v_evso tptp.v_Aa tptp.v_Ba @t43 @t41 @t40 tptp.v_X))) % 0.41/0.60 (step @p157 :rule cnf_or_pos :args (@t104)) % 0.41/0.60 (step @p158 :rule reordering :premises (@p157) :args ((or @t75 @t79 @t103 (not @t104)))) % 0.41/0.60 (step @p159 :rule chain_m_resolution :premises (@p158 @p5 @p6 @p156) :args (@t103 (@list false false false) (@list @t38 @t46 @t104))) % 0.41/0.60 (step @p160 :rule instantiate :premises (@p3) :args ((@list tptp.v_evso tptp.c_Message_Oagent_OServer @t44 tptp.v_Ba tptp.v_Aa tptp.v_NAa @t40 tptp.v_B tptp.c_Message_Oagent_OServer @t51 tptp.v_B tptp.v_A tptp.v_NA))) % 0.41/0.60 (step @p161 :rule cnf_or_pos :args (@t107)) % 0.41/0.60 (step @p162 :rule reordering :premises (@p161) :args ((or @t84 @t75 @t106 @t105 @t93 (not @t107)))) % 0.41/0.60 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p159 @p5 @p155 @p7 @p124 @p8) :args ((or @t84 @t83) (@list false false false false false true true) (@list @t107 @t103 @t38 @t101 @t52 @t93 @t55))) % 0.41/0.60 (step @p164 false :rule chain_m_resolution :premises (@p163 @p98 @p63) :args (false (@list true false) (@list @t84 @t80))) % 0.41/0.60 ) % 0.41/0.60 % SZS output end Proof % 0.41/0.60 % cvc5 exiting %------------------------------------------------------------------------------