%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV296-2 : 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 : n015.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 09:01:00 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.62s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV296-2 : 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 % 0.16/0.34 % Computer : n015.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 20:01:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Unsatisfiable % 0.37/0.62 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.v_x $$unsorted) % 0.45/0.63 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.45/0.63 (declare-const tptp.v_KAB $$unsorted) % 0.45/0.63 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.v_B $$unsorted) % 0.45/0.63 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v_Aa $$unsorted) % 0.45/0.63 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.45/0.63 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v_K $$unsorted) % 0.45/0.63 (declare-const tptp.c_Event_Obad $$unsorted) % 0.45/0.63 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.45/0.63 (declare-const tptp.v_sko__usf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v_evs3 $$unsorted) % 0.45/0.63 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.45/0.63 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v_A $$unsorted) % 0.45/0.63 (declare-const tptp.c_OtwayRees_Ootway $$unsorted) % 0.45/0.63 (declare-const tptp.c_Event_Oused (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.45/0.63 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v_NAa $$unsorted) % 0.45/0.63 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.v_NA $$unsorted) % 0.45/0.63 (declare-const tptp.v_Ba $$unsorted) % 0.45/0.63 (declare-const tptp.v_NB $$unsorted) % 0.45/0.63 (define @t1 () (@var "V_evs" $$unsorted)) % 0.45/0.63 (define @t2 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t1)) % 0.45/0.63 (define @t3 () (@var "V_X" $$unsorted)) % 0.45/0.63 (define @t4 () (tptp.c_List_Oset @t1 tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t5 () (@var "V_B" $$unsorted)) % 0.45/0.63 (define @t6 () (@var "V_A" $$unsorted)) % 0.45/0.63 (define @t7 () (@var "V_c" $$unsorted)) % 0.45/0.63 (define @t8 () (tptp.c_Message_Oparts @t2)) % 0.45/0.63 (define @t9 () (@var "V_H" $$unsorted)) % 0.45/0.63 (define @t10 () (tptp.c_Message_Oanalz @t9)) % 0.45/0.63 (define @t11 () (@var "V_Y" $$unsorted)) % 0.45/0.63 (define @t12 () (tptp.c_Message_Omsg_OMPair @t3 @t11)) % 0.45/0.63 (define @t13 () (not (tptp.c_in @t12 @t10 tptp.tc_Message_Omsg))) % 0.45/0.63 (define @t14 () (@list @t3 @t11 @t9)) % 0.45/0.63 (define @t15 () (tptp.c_Message_Oparts @t9)) % 0.45/0.63 (define @t16 () (@var "V_K" $$unsorted)) % 0.45/0.63 (define @t17 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t18 () (not (tptp.c_in @t1 tptp.c_OtwayRees_Ootway @t17))) % 0.45/0.63 (define @t19 () (tptp.c_in @t6 tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.63 (define @t20 () (tptp.c_Message_Omsg_OAgent @t6)) % 0.45/0.63 (define @t21 () (@var "V_NA" $$unsorted)) % 0.45/0.63 (define @t22 () (tptp.c_Public_OshrK @t6)) % 0.45/0.63 (define @t23 () (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t22 (tptp.c_Message_Omsg_OMPair @t21 (tptp.c_Message_Omsg_OMPair @t20 (tptp.c_Message_Omsg_OAgent @t5)))) @t8 tptp.tc_Message_Omsg))) % 0.45/0.63 (define @t24 () (@var "V_A_H" $$unsorted)) % 0.45/0.63 (define @t25 () (@var "V_NA_H" $$unsorted)) % 0.45/0.63 (define @t26 () (@var "V_C" $$unsorted)) % 0.45/0.63 (define @t27 () (tptp.c_Event_Oused @t9)) % 0.45/0.63 (define @t28 () (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.63 (define @t29 () (not @t28)) % 0.45/0.63 (define @t30 () (tptp.c_in tptp.v_evs3 tptp.c_OtwayRees_Ootway @t17)) % 0.45/0.63 (define @t31 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.45/0.63 (define @t32 () (= tptp.v_NA @t31)) % 0.45/0.63 (define @t33 () (= tptp.v_A tptp.v_Ba)) % 0.45/0.63 (define @t34 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3)) % 0.45/0.63 (define @t35 () (tptp.c_Message_Oparts @t34)) % 0.45/0.63 (define @t36 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.45/0.63 (define @t37 () (tptp.c_Message_Omsg_OMPair tptp.v_NA @t36)) % 0.45/0.63 (define @t38 () (tptp.c_Public_OshrK tptp.v_A)) % 0.45/0.63 (define @t39 () (tptp.c_Message_Omsg_OCrypt @t38 @t37)) % 0.45/0.63 (define @t40 () (tptp.c_in @t39 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t41 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.45/0.63 (define @t42 () (= tptp.v_NA @t41)) % 0.45/0.63 (define @t43 () (tptp.c_Event_Oused tptp.v_evs3)) % 0.45/0.63 (define @t44 () (tptp.c_in (tptp.c_Message_Omsg_OKey tptp.v_KAB) @t43 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t45 () (not @t44)) % 0.45/0.63 (define @t46 () (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t47 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.45/0.63 (define @t48 () (tptp.c_Message_Omsg_OAgent tptp.v_Aa)) % 0.45/0.63 (define @t49 () (tptp.c_Message_Omsg_OMPair @t48 @t47)) % 0.45/0.63 (define @t50 () (tptp.c_Public_OshrK tptp.v_Ba)) % 0.45/0.63 (define @t51 () (tptp.c_Message_Omsg_OCrypt @t50 (tptp.c_Message_Omsg_OMPair @t31 (tptp.c_Message_Omsg_OMPair @t41 @t49)))) % 0.45/0.63 (define @t52 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair @t31 @t49))) % 0.45/0.63 (define @t53 () (tptp.c_Message_Omsg_OMPair @t52 @t51)) % 0.45/0.63 (define @t54 () (tptp.c_Message_Omsg_OMPair @t47 @t53)) % 0.45/0.63 (define @t55 () (tptp.c_Message_Omsg_OMPair @t48 @t54)) % 0.45/0.63 (define @t56 () (tptp.c_Message_Omsg_OMPair @t31 @t55)) % 0.45/0.63 (define @t57 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer @t56) @t46 tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t58 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.45/0.63 (define @t59 () (tptp.c_Message_Omsg_OAgent tptp.v_A)) % 0.45/0.63 (define @t60 () (tptp.c_Message_Omsg_OCrypt @t38 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t59 @t58)))) % 0.45/0.63 (define @t61 () (tptp.c_Message_Omsg_OMPair @t58 @t60)) % 0.45/0.63 (define @t62 () (tptp.c_Message_Omsg_OMPair @t59 @t61)) % 0.45/0.63 (define @t63 () (tptp.c_Message_Omsg_OMPair tptp.v_NA @t62)) % 0.45/0.63 (define @t64 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B @t63) @t46 tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t65 () (not @t64)) % 0.45/0.63 (define @t66 () (not @t40)) % 0.45/0.63 (define @t67 () (tptp.c_Public_OshrK tptp.v_B)) % 0.45/0.63 (define @t68 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t39 (tptp.c_Message_Omsg_OCrypt @t67 (tptp.c_Message_Omsg_OMPair tptp.v_x @t36))))) @t46 tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t69 () (= tptp.v_K tptp.v_KAB)) % 0.45/0.63 (define @t70 () (@var "V_BK" $$unsorted)) % 0.45/0.63 (define @t71 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t39 (tptp.c_Message_Omsg_OCrypt @t67 (tptp.c_Message_Omsg_OMPair @t70 @t36))))) @t46 tptp.tc_Event_Oevent))) % 0.45/0.63 (define @t72 () (or @t71 @t69)) % 0.45/0.63 (define @t73 () (@list @t70)) % 0.45/0.63 (define @t74 () (forall @t73 @t72)) % 0.45/0.63 (define @t75 () (not (= tptp.v_B tptp.v_Ba))) % 0.45/0.63 (define @t76 () (@var "V_U" $$unsorted)) % 0.45/0.63 (define @t77 () (not (= @t76 @t41))) % 0.45/0.63 (define @t78 () (not @t32)) % 0.45/0.63 (define @t79 () (= tptp.v_A tptp.v_Aa)) % 0.45/0.63 (define @t80 () (not @t79)) % 0.45/0.63 (define @t81 () (not @t69)) % 0.45/0.63 (define @t82 () (@var "V_BO" $$unsorted)) % 0.45/0.63 (define @t83 () (not (= @t82 @t41))) % 0.45/0.63 (define @t84 () (or @t83 @t81 @t80 @t78 @t33 @t77 @t75)) % 0.45/0.63 (define @t85 () (@list @t82 @t76)) % 0.45/0.63 (define @t86 () (forall @t85 @t84)) % 0.45/0.63 (define @t87 () (@var "V_BP" $$unsorted)) % 0.45/0.63 (define @t88 () (not (= @t87 @t41))) % 0.45/0.63 (define @t89 () (or @t88 @t81 @t80 @t78 @t42 @t77 @t75)) % 0.45/0.63 (define @t90 () (@list @t87 @t76)) % 0.45/0.63 (define @t91 () (forall @t90 @t89)) % 0.45/0.63 (define @t92 () (tptp.c_Message_Oanalz @t34)) % 0.45/0.63 (define @t93 () (tptp.c_in @t63 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t94 () (or @t65 @t93)) % 0.45/0.63 (define @t95 () (@list false false)) % 0.45/0.63 (define @t96 () (tptp.c_in @t62 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t97 () (not @t93)) % 0.45/0.63 (define @t98 () (or @t97 @t96)) % 0.45/0.63 (define @t99 () (tptp.c_in @t61 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t100 () (not @t96)) % 0.45/0.63 (define @t101 () (or @t100 @t99)) % 0.45/0.63 (define @t102 () (tptp.c_in @t60 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t103 () (not @t99)) % 0.45/0.63 (define @t104 () (or @t103 @t102)) % 0.45/0.63 (define @t105 () (tptp.c_in @t60 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t106 () (not @t102)) % 0.45/0.63 (define @t107 () (or @t106 @t105)) % 0.45/0.63 (define @t108 () (tptp.c_in @t37 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t109 () (or @t66 @t108)) % 0.45/0.63 (define @t110 () (forall @t73 @t71)) % 0.45/0.63 (define @t111 () (not @t68)) % 0.45/0.63 (define @t112 () (tptp.c_in @t37 @t43 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t113 () (not @t108)) % 0.45/0.63 (define @t114 () (or @t113 @t112)) % 0.45/0.63 (define @t115 () (or @t69 @t71)) % 0.45/0.63 (define @t116 () (tptp.c_in @t36 @t43 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t117 () (not @t112)) % 0.45/0.63 (define @t118 () (or @t117 @t116)) % 0.45/0.63 (define @t119 () (not @t116)) % 0.45/0.63 (define @t120 () (and @t45 @t69)) % 0.45/0.63 (define @t121 () (= tptp.v_Ba tptp.v_B)) % 0.45/0.63 (define @t122 () (not @t121)) % 0.45/0.63 (define @t123 () (not (= @t41 @t41))) % 0.45/0.63 (define @t124 () (not (= @t41 @t76))) % 0.45/0.63 (define @t125 () (@list @t76)) % 0.45/0.63 (define @t126 () (or @t124 @t124)) % 0.45/0.63 (define @t127 () (forall @t125 @t124)) % 0.45/0.63 (define @t128 () (not (= @t41 @t82))) % 0.45/0.63 (define @t129 () (@list @t82)) % 0.45/0.63 (define @t130 () (or @t128 @t128)) % 0.45/0.63 (define @t131 () (forall @t129 @t128)) % 0.45/0.63 (define @t132 () (or @t81 @t80 @t78 @t33 @t122 @t131 @t127)) % 0.45/0.63 (define @t133 () (or @t81 @t80 @t78 @t33 @t122 @t128 @t124)) % 0.45/0.63 (define @t134 () (or @t128 @t81 @t80 @t78 @t33 @t124 @t122)) % 0.45/0.63 (define @t135 () (tptp.c_Message_Omsg_OMPair @t59 @t47)) % 0.45/0.63 (define @t136 () (tptp.c_Message_Omsg_OMPair tptp.v_NA @t135)) % 0.45/0.63 (define @t137 () (tptp.c_Message_Omsg_OCrypt @t38 @t136)) % 0.45/0.63 (define @t138 () (tptp.c_in @t137 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t139 () (not @t138)) % 0.45/0.63 (define @t140 () (not @t105)) % 0.45/0.63 (define @t141 () (not @t30)) % 0.45/0.63 (define @t142 () (or @t141 @t140 @t139 @t28 @t121)) % 0.45/0.63 (define @t143 () (@list @t52 @t51 @t34)) % 0.45/0.63 (define @t144 () (tptp.v_sko__usf tptp.c_Message_Oagent_OServer @t56 tptp.v_evs3)) % 0.45/0.63 (define @t145 () (tptp.c_in (tptp.c_Event_Oevent_OSays @t144 tptp.c_Message_Oagent_OServer @t56) @t46 tptp.tc_Event_Oevent)) % 0.45/0.63 (define @t146 () (not @t57)) % 0.45/0.63 (define @t147 () (or @t141 @t146 @t145)) % 0.45/0.63 (define @t148 () (@list false false false)) % 0.45/0.63 (define @t149 () (tptp.c_in @t56 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t150 () (not @t145)) % 0.45/0.63 (define @t151 () (or @t150 @t149)) % 0.45/0.63 (define @t152 () (tptp.c_in @t55 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t153 () (not @t149)) % 0.45/0.63 (define @t154 () (or @t153 @t152)) % 0.45/0.63 (define @t155 () (tptp.c_in @t54 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t156 () (not @t152)) % 0.45/0.63 (define @t157 () (or @t156 @t155)) % 0.45/0.63 (define @t158 () (tptp.c_in @t53 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t159 () (not @t155)) % 0.45/0.63 (define @t160 () (or @t159 @t158)) % 0.45/0.63 (define @t161 () (tptp.c_in @t52 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t162 () (not @t158)) % 0.45/0.63 (define @t163 () (or @t162 @t161)) % 0.45/0.63 (define @t164 () (tptp.c_in @t52 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t165 () (not @t161)) % 0.45/0.63 (define @t166 () (or @t165 @t164)) % 0.45/0.63 (define @t167 () (tptp.c_Message_Omsg_OMPair @t31 @t135)) % 0.45/0.63 (define @t168 () (and @t32 @t79 @t164)) % 0.45/0.63 (define @t169 () (@list true)) % 0.45/0.63 (define @t170 () (@list @t40)) % 0.45/0.63 (define @t171 () (tptp.c_in tptp.v_Ba tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.63 (define @t172 () (not @t171)) % 0.45/0.63 (define @t173 () (not @t33)) % 0.45/0.63 (define @t174 () (and @t29 @t33)) % 0.45/0.63 (define @t175 () (tptp.c_in @t51 @t92 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t176 () (or @t162 @t175)) % 0.45/0.63 (define @t177 () (tptp.c_in @t51 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t178 () (not @t175)) % 0.45/0.63 (define @t179 () (or @t178 @t177)) % 0.45/0.63 (define @t180 () (tptp.c_Message_Omsg_OMPair @t47 @t58)) % 0.45/0.63 (define @t181 () (tptp.c_Message_Omsg_OMPair @t41 @t180)) % 0.45/0.63 (define @t182 () (tptp.c_Message_Omsg_OCrypt @t50 @t181)) % 0.45/0.63 (define @t183 () (tptp.c_in @t182 @t35 tptp.tc_Message_Omsg)) % 0.45/0.63 (define @t184 () (not @t183)) % 0.45/0.63 (define @t185 () (not @t177)) % 0.45/0.63 (define @t186 () (or @t141 @t185 @t184 @t171)) % 0.45/0.63 (define @t187 () (tptp.c_Message_Omsg_OMPair tptp.v_NA @t180)) % 0.45/0.63 (define @t188 () (tptp.c_Message_Omsg_OCrypt @t50 @t187)) % 0.45/0.63 (define @t189 () (and @t33 @t42 @t105)) % 0.45/0.63 (define @t190 () (not (= @t41 @t87))) % 0.45/0.63 (define @t191 () (@list @t87)) % 0.45/0.63 (define @t192 () (or @t190 @t190)) % 0.45/0.63 (define @t193 () (forall @t191 @t190)) % 0.45/0.63 (define @t194 () (or @t81 @t80 @t78 @t42 @t122 @t193 @t127)) % 0.45/0.63 (define @t195 () (or @t81 @t80 @t78 @t42 @t122 @t190 @t124)) % 0.45/0.63 (define @t196 () (or @t190 @t81 @t80 @t78 @t42 @t124 @t122)) % 0.45/0.63 (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 (tptp.c_Message_Oanalz @t2) tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p2 (forall (@list @t7 @t1) (or (not (tptp.c_in @t7 @t8 tptp.tc_Message_Omsg)) (tptp.c_in @t7 (tptp.c_Event_Oused @t1) tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p3 (forall @t14 (or @t13 (tptp.c_in @t11 @t10 tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p4 (forall @t14 (or @t13 (tptp.c_in @t3 @t10 tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p5 (forall (@list @t7 @t9) (or (not (tptp.c_in @t7 @t10 tptp.tc_Message_Omsg)) (tptp.c_in @t7 @t15 tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p6 (forall (@list @t16 @t3 @t9) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t16 @t3) @t15 tptp.tc_Message_Omsg)) (tptp.c_in @t3 @t15 tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p7 (forall (@list @t1 @t5 @t3) (or @t18 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t5 @t3) @t4 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf @t5 @t3 @t1) @t5 @t3) @t4 tptp.tc_Event_Oevent)))) % 0.45/0.63 (assume @p8 (forall (@list @t1 @t6 @t25 @t21 @t24 @t5) (or @t18 (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t22 (tptp.c_Message_Omsg_OMPair @t25 (tptp.c_Message_Omsg_OMPair @t21 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t24) @t20)))) @t8 tptp.tc_Message_Omsg)) @t23 @t19))) % 0.45/0.63 (assume @p9 (forall (@list @t1 @t6 @t21 @t26 @t5) (or @t18 (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t22 (tptp.c_Message_Omsg_OMPair @t21 (tptp.c_Message_Omsg_OMPair @t20 (tptp.c_Message_Omsg_OAgent @t26)))) @t8 tptp.tc_Message_Omsg)) @t23 @t19 (= @t5 @t26)))) % 0.45/0.63 (assume @p10 (forall @t14 (or (not (tptp.c_in @t12 @t27 tptp.tc_Message_Omsg)) (tptp.c_in @t11 @t27 tptp.tc_Message_Omsg)))) % 0.45/0.63 (assume @p11 @t29) % 0.45/0.63 (assume @p12 @t30) % 0.45/0.63 (assume @p13 (or @t40 @t33 @t32)) % 0.45/0.63 (assume @p14 (or @t40 @t42 @t32)) % 0.45/0.63 (assume @p15 @t45) % 0.45/0.63 (assume @p16 @t57) % 0.45/0.63 (assume @p17 (or @t68 @t66 @t65)) % 0.45/0.63 (assume @p18 @t64) % 0.45/0.63 (assume @p19 (or @t40 @t69)) % 0.45/0.63 (assume @p20 @t74) % 0.45/0.63 (assume @p21 @t86) % 0.45/0.63 (assume @p22 @t91) % 0.45/0.63 (assume @p23 (or @t40 @t33 @t79)) % 0.45/0.63 (assume @p24 (or @t40 @t42 @t79)) % 0.45/0.63 (step @p25 :rule instantiate :premises (@p5) :args ((@list @t60 @t34))) % 0.45/0.63 (step @p26 :rule instantiate :premises (@p3) :args ((@list @t58 @t60 @t34))) % 0.45/0.63 (step @p27 :rule instantiate :premises (@p3) :args ((@list @t59 @t61 @t34))) % 0.45/0.63 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.v_NA @t62 @t34))) % 0.45/0.63 (step @p29 :rule instantiate :premises (@p1) :args ((@list tptp.v_A tptp.v_B @t63 tptp.v_evs3))) % 0.45/0.63 (step @p30 :rule cnf_or_pos :args (@t94)) % 0.45/0.63 (step @p31 :rule reordering :premises (@p30) :args ((or @t65 @t93 (not @t94)))) % 0.45/0.63 (step @p32 :rule chain_m_resolution :premises (@p31 @p18 @p29) :args (@t93 @t95 (@list @t64 @t94))) % 0.45/0.63 (step @p33 :rule cnf_or_pos :args (@t98)) % 0.45/0.63 (step @p34 :rule reordering :premises (@p33) :args ((or @t97 @t96 (not @t98)))) % 0.45/0.63 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p28) :args (@t96 @t95 (@list @t93 @t98))) % 0.45/0.63 (step @p36 :rule cnf_or_pos :args (@t101)) % 0.45/0.63 (step @p37 :rule reordering :premises (@p36) :args ((or @t100 @t99 (not @t101)))) % 0.45/0.63 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p27) :args (@t99 @t95 (@list @t96 @t101))) % 0.45/0.63 (step @p39 :rule cnf_or_pos :args (@t104)) % 0.45/0.63 (step @p40 :rule reordering :premises (@p39) :args ((or @t103 @t102 (not @t104)))) % 0.45/0.63 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p26) :args (@t102 @t95 (@list @t99 @t104))) % 0.45/0.63 (step @p42 :rule cnf_or_pos :args (@t107)) % 0.45/0.63 (step @p43 :rule reordering :premises (@p42) :args ((or @t106 @t105 (not @t107)))) % 0.45/0.63 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p25) :args (@t105 @t95 (@list @t102 @t107))) % 0.45/0.63 (step @p45 :rule instantiate :premises (@p9) :args ((@list tptp.v_evs3 tptp.v_A tptp.v_NA tptp.v_B tptp.v_Ba))) % 0.45/0.63 (step @p46 :rule instantiate :premises (@p8) :args ((@list tptp.v_evs3 tptp.v_Ba @t31 @t41 tptp.v_Aa tptp.v_B))) % 0.45/0.63 (step @p47 :rule instantiate :premises (@p6) :args ((@list @t38 @t37 @t34))) % 0.45/0.63 (step @p48 :rule cnf_or_pos :args (@t109)) % 0.45/0.63 (step @p49 :rule reordering :premises (@p48) :args ((or @t66 @t108 (not @t109)))) % 0.45/0.63 (assume-push @p324 @t110) % 0.45/0.63 (step @p51 :rule instantiate :premises (@p324) :args ((@list tptp.v_x))) % 0.45/0.63 (step-pop @p325 :rule scope :premises (@p51)) % 0.45/0.63 (step @p52 :rule process_scope :premises (@p325) :args (@t111)) % 0.45/0.63 (step @p54 :rule implies_elim :premises (@p52)) % 0.45/0.63 (step @p55 :rule reordering :premises (@p54) :args ((or @t111 (not @t110)))) % 0.45/0.63 (step @p56 :rule instantiate :premises (@p2) :args ((@list @t37 tptp.v_evs3))) % 0.45/0.63 (step @p57 :rule cnf_or_pos :args (@t114)) % 0.45/0.63 (step @p58 :rule reordering :premises (@p57) :args ((or @t112 @t113 (not @t114)))) % 0.45/0.63 (step @p59 :rule quant-miniscope-or :args ((= (forall @t73 @t115) (or @t69 @t110)))) % 0.45/0.63 (step @p60 :rule aci_norm :args ((= @t72 @t115))) % 0.45/0.63 (step @p61 :rule cong :premises (@p60) :args (@t74)) % 0.45/0.63 (step @p62 :rule trans :premises (@p61 @p59)) % 0.45/0.63 (step @p63 :rule eq_resolve :premises (@p20 @p62)) % 0.45/0.63 (step @p64 :rule instantiate :premises (@p10) :args ((@list tptp.v_NA @t36 tptp.v_evs3))) % 0.45/0.63 (step @p65 :rule cnf_or_pos :args (@t118)) % 0.45/0.63 (step @p66 :rule reordering :premises (@p65) :args ((or @t117 @t116 (not @t118)))) % 0.45/0.63 (step @p67 :rule refl :args (@t119)) % 0.45/0.63 (step @p68 :rule refl :args (@t81)) % 0.45/0.63 (step @p69 :rule bool-double-not-elim :args (@t44)) % 0.45/0.63 (step @p70 :rule nary_cong :premises (@p69 @p68 @p67) :args ((or (not @t45) @t81 @t119))) % 0.45/0.63 (assume-push @p326 @t45) % 0.45/0.63 (assume-push @p327 @t69) % 0.45/0.63 (assume-push @p328 @t45) % 0.45/0.63 (assume-push @p329 @t69) % 0.45/0.63 (step @p75 :rule false_intro :premises (@p15)) % 0.45/0.63 (step @p76 :rule refl :args (tptp.tc_Message_Omsg)) % 0.45/0.63 (step @p77 :rule refl :args (@t43)) % 0.45/0.63 (step @p78 :rule cong :premises (@p327) :args (@t36)) % 0.45/0.63 (step @p79 :rule cong :premises (@p78 @p77 @p76) :args (@t116)) % 0.45/0.63 (step @p80 :rule trans :premises (@p79 @p75)) % 0.45/0.63 (step @p81 :rule false_elim :premises (@p80)) % 0.45/0.63 (step-pop @p330 :rule scope :premises (@p81)) % 0.45/0.63 (step-pop @p331 :rule scope :premises (@p330)) % 0.45/0.63 (step @p82 :rule process_scope :premises (@p331) :args (@t119)) % 0.45/0.63 (step @p85 :rule and_intro :premises (@p15 @p327)) % 0.45/0.63 (step @p86 :rule modus_ponens :premises (@p85 @p82)) % 0.45/0.63 (step-pop @p332 :rule scope :premises (@p86)) % 0.45/0.63 (step-pop @p333 :rule scope :premises (@p332)) % 0.45/0.63 (step @p87 :rule process_scope :premises (@p333) :args (@t119)) % 0.45/0.63 (step @p90 :rule implies_elim :premises (@p87)) % 0.45/0.63 (step @p91 :rule cnf_and_neg :args (@t120)) % 0.45/0.63 (step @p92 :rule resolution :premises (@p91 @p90) :args (true @t120)) % 0.45/0.63 (step @p93 :rule eq_resolve :premises (@p92 @p70)) % 0.45/0.63 (step @p94 :rule chain_m_resolution :premises (@p93 @p15 @p66 @p64 @p63 @p58 @p56 @p55 @p49 @p47 @p17 @p18) :args (@t66 (@list true false false false false false true false false false false) (@list @t44 @t116 @t118 @t69 @t112 @t114 @t110 @t108 @t109 @t68 @t64))) % 0.45/0.63 (step @p95 :rule aci_norm :args ((= (or @t81 @t80 @t78 @t33 @t122 false false) (or @t81 @t80 @t78 @t33 @t122)))) % 0.45/0.63 (step @p96 :rule evaluate :args ((not true))) % 0.45/0.63 (step @p97 :rule eq-refl :args (@t41)) % 0.45/0.63 (step @p98 :rule cong :premises (@p97) :args (@t123)) % 0.45/0.63 (step @p99 :rule trans :premises (@p98 @p96)) % 0.45/0.63 (step @p100 :rule quant-var-elim-eq :args ((= (forall @t125 (or @t77 @t124)) @t123))) % 0.45/0.63 (step @p101 :rule refl :args (@t124)) % 0.45/0.63 (step @p102 :rule eq-symm :args (@t41 @t76)) % 0.45/0.63 (step @p103 :rule cong :premises (@p102) :args (@t124)) % 0.45/0.63 (step @p104 :rule nary_cong :premises (@p103 @p101) :args (@t126)) % 0.45/0.63 (step @p105 :rule aci_norm :args ((= @t124 @t126))) % 0.45/0.63 (step @p106 :rule trans :premises (@p105 @p104)) % 0.45/0.63 (step @p107 :rule cong :premises (@p106) :args (@t127)) % 0.45/0.63 (step @p108 :rule trans :premises (@p107 @p100)) % 0.45/0.63 (step @p109 :rule trans :premises (@p108 @p99)) % 0.45/0.63 (step @p110 :rule quant-var-elim-eq :args ((= (forall @t129 (or @t83 @t128)) @t123))) % 0.45/0.63 (step @p111 :rule refl :args (@t128)) % 0.45/0.63 (step @p112 :rule eq-symm :args (@t41 @t82)) % 0.45/0.63 (step @p113 :rule cong :premises (@p112) :args (@t128)) % 0.45/0.63 (step @p114 :rule nary_cong :premises (@p113 @p111) :args (@t130)) % 0.45/0.63 (step @p115 :rule aci_norm :args ((= @t128 @t130))) % 0.45/0.63 (step @p116 :rule trans :premises (@p115 @p114)) % 0.45/0.63 (step @p117 :rule cong :premises (@p116) :args (@t131)) % 0.45/0.63 (step @p118 :rule trans :premises (@p117 @p110)) % 0.45/0.63 (step @p119 :rule trans :premises (@p118 @p99)) % 0.45/0.63 (step @p120 :rule refl :args (@t122)) % 0.45/0.63 (step @p121 :rule refl :args (@t33)) % 0.45/0.63 (step @p122 :rule refl :args (@t78)) % 0.45/0.63 (step @p123 :rule refl :args (@t80)) % 0.45/0.63 (step @p124 :rule nary_cong :premises (@p68 @p123 @p122 @p121 @p120 @p119 @p109) :args (@t132)) % 0.45/0.63 (step @p125 :rule trans :premises (@p124 @p95)) % 0.45/0.63 (step @p126 :rule quant-miniscope-or :args ((= (forall @t85 @t133) @t132))) % 0.45/0.63 (step @p127 :rule aci_norm :args ((= @t134 @t133))) % 0.45/0.63 (step @p128 :rule cong :premises (@p127) :args ((forall @t85 @t134))) % 0.45/0.63 (step @p129 :rule trans :premises (@p128 @p126)) % 0.45/0.63 (step @p130 :rule trans :premises (@p129 @p125)) % 0.45/0.63 (step @p131 :rule eq-symm :args (tptp.v_B tptp.v_Ba)) % 0.45/0.63 (step @p132 :rule cong :premises (@p131) :args (@t75)) % 0.45/0.63 (step @p133 :rule eq-symm :args (@t76 @t41)) % 0.45/0.63 (step @p134 :rule cong :premises (@p133) :args (@t77)) % 0.45/0.63 (step @p135 :rule eq-symm :args (@t82 @t41)) % 0.45/0.63 (step @p136 :rule cong :premises (@p135) :args (@t83)) % 0.45/0.63 (step @p137 :rule nary_cong :premises (@p136 @p68 @p123 @p122 @p121 @p134 @p132) :args (@t84)) % 0.45/0.63 (step @p138 :rule cong :premises (@p137) :args (@t86)) % 0.45/0.63 (step @p139 :rule trans :premises (@p138 @p130)) % 0.45/0.63 (step @p140 :rule eq_resolve :premises (@p21 @p139)) % 0.45/0.63 (step @p141 :rule reordering :premises (@p140) :args ((or @t33 @t81 @t80 @t78 @t122))) % 0.45/0.63 (step @p142 :rule cnf_or_pos :args (@t142)) % 0.45/0.63 (step @p143 :rule reordering :premises (@p142) :args ((or @t28 @t121 @t141 @t140 @t139 (not @t142)))) % 0.45/0.63 (step @p144 :rule instantiate :premises (@p5) :args ((@list @t52 @t34))) % 0.45/0.63 (step @p145 :rule instantiate :premises (@p4) :args (@t143)) % 0.45/0.63 (step @p146 :rule instantiate :premises (@p3) :args ((@list @t47 @t53 @t34))) % 0.45/0.63 (step @p147 :rule instantiate :premises (@p3) :args ((@list @t48 @t54 @t34))) % 0.45/0.63 (step @p148 :rule instantiate :premises (@p3) :args ((@list @t31 @t55 @t34))) % 0.45/0.63 (step @p149 :rule instantiate :premises (@p1) :args ((@list @t144 tptp.c_Message_Oagent_OServer @t56 tptp.v_evs3))) % 0.45/0.63 (step @p150 :rule instantiate :premises (@p7) :args ((@list tptp.v_evs3 tptp.c_Message_Oagent_OServer @t56))) % 0.45/0.63 (step @p151 :rule cnf_or_pos :args (@t147)) % 0.45/0.63 (step @p152 :rule reordering :premises (@p151) :args ((or @t141 @t146 @t145 (not @t147)))) % 0.45/0.63 (step @p153 :rule chain_m_resolution :premises (@p152 @p12 @p16 @p150) :args (@t145 @t148 (@list @t30 @t57 @t147))) % 0.45/0.63 (step @p154 :rule cnf_or_pos :args (@t151)) % 0.45/0.63 (step @p155 :rule reordering :premises (@p154) :args ((or @t150 @t149 (not @t151)))) % 0.45/0.63 (step @p156 :rule chain_m_resolution :premises (@p155 @p153 @p149) :args (@t149 @t95 (@list @t145 @t151))) % 0.45/0.63 (step @p157 :rule cnf_or_pos :args (@t154)) % 0.45/0.63 (step @p158 :rule reordering :premises (@p157) :args ((or @t153 @t152 (not @t154)))) % 0.45/0.63 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p148) :args (@t152 @t95 (@list @t149 @t154))) % 0.45/0.63 (step @p160 :rule cnf_or_pos :args (@t157)) % 0.45/0.63 (step @p161 :rule reordering :premises (@p160) :args ((or @t156 @t155 (not @t157)))) % 0.45/0.63 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p147) :args (@t155 @t95 (@list @t152 @t157))) % 0.45/0.63 (step @p163 :rule cnf_or_pos :args (@t160)) % 0.45/0.63 (step @p164 :rule reordering :premises (@p163) :args ((or @t159 @t158 (not @t160)))) % 0.45/0.63 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p146) :args (@t158 @t95 (@list @t155 @t160))) % 0.45/0.63 (step @p166 :rule cnf_or_pos :args (@t163)) % 0.45/0.63 (step @p167 :rule reordering :premises (@p166) :args ((or @t161 @t162 (not @t163)))) % 0.45/0.63 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p145) :args (@t161 @t95 (@list @t158 @t163))) % 0.45/0.63 (step @p169 :rule cnf_or_pos :args (@t166)) % 0.45/0.63 (step @p170 :rule reordering :premises (@p169) :args ((or @t164 @t165 (not @t166)))) % 0.45/0.63 (step @p171 :rule chain_m_resolution :premises (@p170 @p168 @p144) :args (@t164 @t95 (@list @t161 @t166))) % 0.45/0.63 (assume-push @p334 @t32) % 0.45/0.63 (assume-push @p335 @t79) % 0.45/0.63 (assume-push @p336 @t164) % 0.45/0.63 (assume-push @p337 @t164) % 0.45/0.63 (assume-push @p338 @t79) % 0.45/0.63 (assume-push @p339 @t32) % 0.45/0.63 (step @p178 :rule true_intro :premises (@p171)) % 0.45/0.63 (step @p76 :rule refl :args (tptp.tc_Message_Omsg)) % 0.45/0.63 (step @p179 :rule refl :args (@t35)) % 0.45/0.63 (step @p180 :rule refl :args (@t47)) % 0.45/0.63 (step @p181 :rule cong :premises (@p335) :args (@t59)) % 0.45/0.63 (step @p182 :rule cong :premises (@p181 @p180) :args (@t135)) % 0.45/0.63 (step @p183 :rule refl :args (@t31)) % 0.45/0.63 (step @p184 :rule cong :premises (@p183 @p182) :args (@t167)) % 0.45/0.63 (step @p185 :rule cong :premises (@p335) :args (@t38)) % 0.45/0.63 (step @p186 :rule cong :premises (@p185 @p184) :args ((tptp.c_Message_Omsg_OCrypt @t38 @t167))) % 0.45/0.63 (step @p187 :rule refl :args (@t135)) % 0.45/0.63 (step @p188 :rule cong :premises (@p334 @p187) :args (@t136)) % 0.45/0.63 (step @p189 :rule refl :args (@t38)) % 0.45/0.63 (step @p190 :rule cong :premises (@p189 @p188) :args (@t137)) % 0.45/0.63 (step @p191 :rule trans :premises (@p190 @p186)) % 0.45/0.63 (step @p192 :rule cong :premises (@p191 @p179 @p76) :args (@t138)) % 0.45/0.63 (step @p193 :rule trans :premises (@p192 @p178)) % 0.45/0.63 (step @p194 :rule true_elim :premises (@p193)) % 0.45/0.63 (step-pop @p340 :rule scope :premises (@p194)) % 0.45/0.63 (step-pop @p341 :rule scope :premises (@p340)) % 0.45/0.63 (step-pop @p342 :rule scope :premises (@p341)) % 0.45/0.63 (step @p195 :rule process_scope :premises (@p342) :args (@t138)) % 0.45/0.63 (step @p199 :rule and_intro :premises (@p171 @p335 @p334)) % 0.45/0.63 (step @p200 :rule modus_ponens :premises (@p199 @p195)) % 0.45/0.63 (step-pop @p343 :rule scope :premises (@p200)) % 0.45/0.63 (step-pop @p344 :rule scope :premises (@p343)) % 0.45/0.63 (step-pop @p345 :rule scope :premises (@p344)) % 0.45/0.63 (step @p201 :rule process_scope :premises (@p345) :args (@t138)) % 0.45/0.63 (step @p205 :rule implies_elim :premises (@p201)) % 0.45/0.63 (step @p206 :rule cnf_and_neg :args (@t168)) % 0.45/0.63 (step @p207 :rule resolution :premises (@p206 @p205) :args (true @t168)) % 0.45/0.63 (step @p208 :rule reordering :premises (@p207) :args ((or @t80 @t78 (not @t164) @t138))) % 0.45/0.63 (step @p209 :rule chain_m_resolution :premises (@p208 @p171 @p143 @p45 @p44 @p12 @p11 @p141 @p23 @p13 @p19) :args ((or @t40 @t33) (@list false true false false false true true false false false) (@list @t164 @t138 @t142 @t105 @t30 @t28 @t121 @t79 @t32 @t69))) % 0.45/0.63 (step @p210 :rule chain_m_resolution :premises (@p209 @p94) :args (@t33 @t169 @t170)) % 0.45/0.63 (step @p211 :rule refl :args (@t172)) % 0.45/0.63 (step @p212 :rule refl :args (@t173)) % 0.45/0.63 (step @p213 :rule bool-double-not-elim :args (@t28)) % 0.45/0.63 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211) :args ((or (not @t29) @t173 @t172))) % 0.45/0.63 (assume-push @p346 @t29) % 0.45/0.63 (assume-push @p347 @t33) % 0.45/0.63 (assume-push @p348 @t29) % 0.45/0.63 (assume-push @p349 @t33) % 0.45/0.63 (step @p219 :rule false_intro :premises (@p11)) % 0.45/0.63 (step @p220 :rule refl :args (tptp.tc_Message_Oagent)) % 0.45/0.63 (step @p221 :rule refl :args (tptp.c_Event_Obad)) % 0.45/0.63 (step @p222 :rule symm :premises (@p347)) % 0.45/0.63 (step @p223 :rule cong :premises (@p222 @p221 @p220) :args (@t171)) % 0.45/0.63 (step @p224 :rule trans :premises (@p223 @p219)) % 0.45/0.63 (step @p225 :rule false_elim :premises (@p224)) % 0.45/0.63 (step-pop @p350 :rule scope :premises (@p225)) % 0.45/0.63 (step-pop @p351 :rule scope :premises (@p350)) % 0.45/0.63 (step @p226 :rule process_scope :premises (@p351) :args (@t172)) % 0.45/0.63 (step @p229 :rule and_intro :premises (@p11 @p347)) % 0.45/0.63 (step @p230 :rule modus_ponens :premises (@p229 @p226)) % 0.45/0.63 (step-pop @p352 :rule scope :premises (@p230)) % 0.45/0.63 (step-pop @p353 :rule scope :premises (@p352)) % 0.45/0.63 (step @p231 :rule process_scope :premises (@p353) :args (@t172)) % 0.45/0.63 (step @p234 :rule implies_elim :premises (@p231)) % 0.45/0.63 (step @p235 :rule cnf_and_neg :args (@t174)) % 0.45/0.63 (step @p236 :rule resolution :premises (@p235 @p234) :args (true @t174)) % 0.45/0.63 (step @p237 :rule eq_resolve :premises (@p236 @p214)) % 0.45/0.63 (step @p238 :rule chain_m_resolution :premises (@p237 @p11 @p210) :args (@t172 (@list true false) (@list @t28 @t33))) % 0.45/0.63 (step @p239 :rule instantiate :premises (@p5) :args ((@list @t51 @t34))) % 0.45/0.63 (step @p240 :rule instantiate :premises (@p3) :args (@t143)) % 0.45/0.63 (step @p241 :rule cnf_or_pos :args (@t176)) % 0.45/0.63 (step @p242 :rule reordering :premises (@p241) :args ((or @t175 @t162 (not @t176)))) % 0.45/0.63 (step @p243 :rule chain_m_resolution :premises (@p242 @p165 @p240) :args (@t175 @t95 (@list @t158 @t176))) % 0.45/0.63 (step @p244 :rule cnf_or_pos :args (@t179)) % 0.45/0.63 (step @p245 :rule reordering :premises (@p244) :args ((or @t177 @t178 (not @t179)))) % 0.45/0.63 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p239) :args (@t177 @t95 (@list @t175 @t179))) % 0.45/0.63 (step @p247 :rule cnf_or_pos :args (@t186)) % 0.45/0.63 (step @p248 :rule reordering :premises (@p247) :args ((or @t141 @t185 @t171 @t184 (not @t186)))) % 0.45/0.63 (step @p249 :rule chain_m_resolution :premises (@p248 @p12 @p246 @p238 @p46) :args (@t184 (@list false false true false) (@list @t30 @t177 @t171 @t186))) % 0.45/0.63 (assume-push @p354 @t33) % 0.45/0.63 (assume-push @p355 @t42) % 0.45/0.63 (assume-push @p356 @t105) % 0.45/0.63 (assume-push @p357 @t105) % 0.45/0.63 (assume-push @p358 @t33) % 0.45/0.63 (assume-push @p359 @t42) % 0.45/0.63 (step @p256 :rule true_intro :premises (@p44)) % 0.45/0.63 (step @p76 :rule refl :args (tptp.tc_Message_Omsg)) % 0.45/0.63 (step @p179 :rule refl :args (@t35)) % 0.45/0.63 (step @p257 :rule refl :args (@t58)) % 0.45/0.63 (step @p258 :rule symm :premises (@p354)) % 0.45/0.63 (step @p259 :rule cong :premises (@p258) :args (@t47)) % 0.45/0.63 (step @p260 :rule cong :premises (@p259 @p257) :args (@t180)) % 0.45/0.63 (step @p261 :rule refl :args (tptp.v_NA)) % 0.45/0.63 (step @p262 :rule cong :premises (@p261 @p260) :args (@t187)) % 0.45/0.63 (step @p263 :rule cong :premises (@p258) :args (@t50)) % 0.45/0.63 (step @p264 :rule cong :premises (@p263 @p262) :args (@t188)) % 0.45/0.63 (step @p265 :rule cong :premises (@p264 @p179 @p76) :args ((tptp.c_in @t188 @t35 tptp.tc_Message_Omsg))) % 0.45/0.63 (step @p266 :rule symm :premises (@p264)) % 0.45/0.63 (step @p267 :rule refl :args (@t180)) % 0.45/0.63 (step @p268 :rule symm :premises (@p355)) % 0.45/0.63 (step @p269 :rule cong :premises (@p268 @p267) :args (@t181)) % 0.45/0.63 (step @p270 :rule trans :premises (@p269 @p262)) % 0.45/0.63 (step @p271 :rule cong :premises (@p263 @p270) :args (@t182)) % 0.45/0.63 (step @p272 :rule trans :premises (@p271 @p266)) % 0.45/0.63 (step @p273 :rule cong :premises (@p272 @p179 @p76) :args (@t183)) % 0.45/0.63 (step @p274 :rule trans :premises (@p273 @p265 @p256)) % 0.45/0.63 (step @p275 :rule true_elim :premises (@p274)) % 0.45/0.63 (step-pop @p360 :rule scope :premises (@p275)) % 0.45/0.63 (step-pop @p361 :rule scope :premises (@p360)) % 0.45/0.63 (step-pop @p362 :rule scope :premises (@p361)) % 0.45/0.63 (step @p276 :rule process_scope :premises (@p362) :args (@t183)) % 0.45/0.63 (step @p280 :rule and_intro :premises (@p44 @p354 @p355)) % 0.45/0.63 (step @p281 :rule modus_ponens :premises (@p280 @p276)) % 0.45/0.63 (step-pop @p363 :rule scope :premises (@p281)) % 0.45/0.63 (step-pop @p364 :rule scope :premises (@p363)) % 0.45/0.63 (step-pop @p365 :rule scope :premises (@p364)) % 0.45/0.63 (step @p282 :rule process_scope :premises (@p365) :args (@t183)) % 0.45/0.63 (step @p286 :rule implies_elim :premises (@p282)) % 0.45/0.63 (step @p287 :rule cnf_and_neg :args (@t189)) % 0.45/0.63 (step @p288 :rule resolution :premises (@p287 @p286) :args (true @t189)) % 0.45/0.63 (step @p289 :rule chain_m_resolution :premises (@p288 @p210 @p44 @p249) :args ((not @t42) (@list false false true) (@list @t33 @t105 @t183))) % 0.45/0.63 (step @p290 :rule reordering :premises (@p14) :args ((or @t40 @t32 @t42))) % 0.45/0.63 (step @p291 :rule chain_m_resolution :premises (@p290 @p94 @p289) :args (@t32 (@list true true) (@list @t40 @t42))) % 0.45/0.63 (step @p292 :rule chain_m_resolution :premises (@p248 @p46 @p246 @p12 @p288 @p44 @p237 @p11 @p24 @p209) :args ((or @t40 @t79) (@list false false false false false true true false false) (@list @t186 @t177 @t30 @t183 @t105 @t171 @t28 @t42 @t33))) % 0.45/0.63 (step @p293 :rule chain_m_resolution :premises (@p292 @p94) :args (@t79 @t169 @t170)) % 0.45/0.63 (step @p294 :rule chain_m_resolution :premises (@p19 @p94) :args (@t69 @t169 @t170)) % 0.45/0.63 (step @p295 :rule aci_norm :args ((= (or @t81 @t80 @t78 @t42 @t122 false false) (or @t81 @t80 @t78 @t42 @t122)))) % 0.45/0.63 (step @p296 :rule quant-var-elim-eq :args ((= (forall @t191 (or @t88 @t190)) @t123))) % 0.45/0.63 (step @p297 :rule refl :args (@t190)) % 0.45/0.63 (step @p298 :rule eq-symm :args (@t41 @t87)) % 0.45/0.63 (step @p299 :rule cong :premises (@p298) :args (@t190)) % 0.45/0.63 (step @p300 :rule nary_cong :premises (@p299 @p297) :args (@t192)) % 0.45/0.63 (step @p301 :rule aci_norm :args ((= @t190 @t192))) % 0.45/0.63 (step @p302 :rule trans :premises (@p301 @p300)) % 0.45/0.63 (step @p303 :rule cong :premises (@p302) :args (@t193)) % 0.45/0.63 (step @p304 :rule trans :premises (@p303 @p296)) % 0.45/0.63 (step @p305 :rule trans :premises (@p304 @p99)) % 0.45/0.63 (step @p306 :rule refl :args (@t42)) % 0.45/0.63 (step @p307 :rule nary_cong :premises (@p68 @p123 @p122 @p306 @p120 @p305 @p109) :args (@t194)) % 0.45/0.63 (step @p308 :rule trans :premises (@p307 @p295)) % 0.45/0.63 (step @p309 :rule quant-miniscope-or :args ((= (forall @t90 @t195) @t194))) % 0.45/0.63 (step @p310 :rule aci_norm :args ((= @t196 @t195))) % 0.45/0.63 (step @p311 :rule cong :premises (@p310) :args ((forall @t90 @t196))) % 0.45/0.63 (step @p312 :rule trans :premises (@p311 @p309)) % 0.45/0.63 (step @p313 :rule trans :premises (@p312 @p308)) % 0.45/0.63 (step @p314 :rule eq-symm :args (@t87 @t41)) % 0.45/0.63 (step @p315 :rule cong :premises (@p314) :args (@t88)) % 0.45/0.63 (step @p316 :rule nary_cong :premises (@p315 @p68 @p123 @p122 @p306 @p134 @p132) :args (@t89)) % 0.45/0.63 (step @p317 :rule cong :premises (@p316) :args (@t91)) % 0.45/0.63 (step @p318 :rule trans :premises (@p317 @p313)) % 0.45/0.63 (step @p319 :rule eq_resolve :premises (@p22 @p318)) % 0.45/0.63 (step @p320 :rule reordering :premises (@p319) :args ((or @t42 @t81 @t80 @t78 @t122))) % 0.45/0.63 (step @p321 :rule chain_m_resolution :premises (@p320 @p289 @p294 @p293 @p291) :args (@t122 (@list true false false false) (@list @t42 @t69 @t79 @t32))) % 0.45/0.63 (step @p322 :rule chain_m_resolution :premises (@p208 @p293 @p291 @p171) :args (@t138 @t148 (@list @t79 @t32 @t164))) % 0.45/0.63 (step @p323 false :rule chain_m_resolution :premises (@p143 @p322 @p321 @p45 @p44 @p12 @p11) :args (false (@list false true false false false true) (@list @t138 @t121 @t142 @t105 @t30 @t28))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------