%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV304-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:01:02 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 : SWV304-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.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 20:03:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Unsatisfiable % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.v_NAa $$unsorted) % 0.45/0.64 (declare-const tptp.v_Ba $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_K $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_Ka $$unsorted) % 0.45/0.64 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_NA $$unsorted) % 0.45/0.64 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_x $$unsorted) % 0.45/0.64 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.v_evs4 $$unsorted) % 0.45/0.64 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.45/0.64 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.45/0.64 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_NB $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.45/0.64 (declare-const tptp.v_sko__vCt (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_sko__uwX (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.45/0.64 (declare-const tptp.v_A $$unsorted) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.45/0.64 (declare-const tptp.c_Event_Obad $$unsorted) % 0.45/0.64 (declare-const tptp.v_B $$unsorted) % 0.45/0.64 (declare-const tptp.v_NBa $$unsorted) % 0.45/0.64 (declare-const tptp.c_OtwayRees_Ootway $$unsorted) % 0.45/0.64 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.v_X $$unsorted) % 0.45/0.64 (define @t1 () (@var "V_evs" $$unsorted)) % 0.45/0.64 (define @t2 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t1)) % 0.45/0.64 (define @t3 () (@var "V_X" $$unsorted)) % 0.45/0.64 (define @t4 () (tptp.c_List_Oset @t1 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t5 () (@var "V_B" $$unsorted)) % 0.45/0.64 (define @t6 () (@var "V_A" $$unsorted)) % 0.45/0.64 (define @t7 () (@var "V_H" $$unsorted)) % 0.45/0.64 (define @t8 () (@var "V_K" $$unsorted)) % 0.45/0.64 (define @t9 () (tptp.c_Message_Omsg_OCrypt @t8 @t3)) % 0.45/0.64 (define @t10 () (tptp.c_Message_Osynth @t7)) % 0.45/0.64 (define @t11 () (tptp.c_Message_Oparts @t7)) % 0.45/0.64 (define @t12 () (tptp.c_Message_Oanalz @t7)) % 0.45/0.64 (define @t13 () (tptp.c_Message_Osynth @t12)) % 0.45/0.64 (define @t14 () (@var "V_Z" $$unsorted)) % 0.45/0.64 (define @t15 () (tptp.c_in @t3 @t13 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t16 () (@var "V_Y" $$unsorted)) % 0.45/0.64 (define @t17 () (tptp.c_Message_Omsg_OMPair @t3 @t16)) % 0.45/0.64 (define @t18 () (not (tptp.c_in @t17 @t12 tptp.tc_Message_Omsg))) % 0.45/0.64 (define @t19 () (@list @t3 @t16 @t7)) % 0.45/0.64 (define @t20 () (@var "V_c" $$unsorted)) % 0.45/0.64 (define @t21 () (tptp.c_Message_Omsg_OAgent @t5)) % 0.45/0.64 (define @t22 () (tptp.c_Message_Omsg_OAgent @t6)) % 0.45/0.64 (define @t23 () (@var "V_NB" $$unsorted)) % 0.45/0.64 (define @t24 () (@var "V_NA" $$unsorted)) % 0.45/0.64 (define @t25 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t5) (tptp.c_Message_Omsg_OMPair @t24 (tptp.c_Message_Omsg_OMPair @t23 (tptp.c_Message_Omsg_OMPair @t22 @t21))))) % 0.45/0.64 (define @t26 () (tptp.c_Message_Oparts @t2)) % 0.45/0.64 (define @t27 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t28 () (not (tptp.c_in @t1 tptp.c_OtwayRees_Ootway @t27))) % 0.45/0.64 (define @t29 () (@var "T_a" $$unsorted)) % 0.45/0.64 (define @t30 () (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.45/0.64 (define @t31 () (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway @t27)) % 0.45/0.64 (define @t32 () (tptp.c_Message_Omsg_OAgent tptp.v_B)) % 0.45/0.64 (define @t33 () (tptp.c_Message_Omsg_OAgent tptp.v_A)) % 0.45/0.64 (define @t34 () (tptp.c_Public_OshrK tptp.v_B)) % 0.45/0.64 (define @t35 () (tptp.c_Message_Omsg_OCrypt @t34 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OMPair @t33 @t32))))) % 0.45/0.64 (define @t36 () (tptp.c_Message_Omsg_OMPair tptp.v_x @t35)) % 0.45/0.64 (define @t37 () (tptp.c_Message_Omsg_OMPair @t32 @t36)) % 0.45/0.64 (define @t38 () (tptp.c_Message_Omsg_OMPair @t33 @t37)) % 0.45/0.64 (define @t39 () (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t40 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA @t38)) @t39 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t41 () (or @t40 (= @t38 tptp.v_X))) % 0.45/0.64 (define @t42 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) % 0.45/0.64 (define @t43 () (tptp.c_Message_Oparts @t42)) % 0.45/0.64 (define @t44 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.45/0.64 (define @t45 () (tptp.c_Message_Omsg_OMPair tptp.v_NB @t44)) % 0.45/0.64 (define @t46 () (tptp.c_Message_Omsg_OCrypt @t34 @t45)) % 0.45/0.64 (define @t47 () (tptp.c_in @t46 @t43 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t48 () (not @t47)) % 0.45/0.64 (define @t49 () (@var "V_U" $$unsorted)) % 0.45/0.64 (define @t50 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t33 (tptp.c_Message_Omsg_OMPair @t32 (tptp.c_Message_Omsg_OMPair @t49 @t35))))) @t39 tptp.tc_Event_Oevent))) % 0.45/0.64 (define @t51 () (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 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA @t44)) @t46))) @t39 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t52 () (or @t51 @t50 @t48)) % 0.45/0.64 (define @t53 () (@list @t49)) % 0.45/0.64 (define @t54 () (forall @t53 @t52)) % 0.45/0.64 (define @t55 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NBa) (tptp.c_Message_Omsg_OKey tptp.v_Ka)))) % 0.45/0.64 (define @t56 () (tptp.c_Message_Omsg_OMPair tptp.v_X @t55)) % 0.45/0.64 (define @t57 () (tptp.c_Message_Omsg_ONonce tptp.v_NAa)) % 0.45/0.64 (define @t58 () (tptp.c_Message_Omsg_OMPair @t57 @t56)) % 0.45/0.64 (define @t59 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Ba @t58) @t39 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t60 () (tptp.c_in @t46 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X @t42 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t61 () (tptp.c_Message_Oanalz @t42)) % 0.45/0.64 (define @t62 () (tptp.c_in @t46 @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t63 () (not @t62)) % 0.45/0.64 (define @t64 () (or @t63 @t47)) % 0.45/0.64 (define @t65 () (tptp.v_sko__uwX tptp.v_Ba @t58 tptp.v_evs4)) % 0.45/0.64 (define @t66 () (tptp.c_in (tptp.c_Event_Oevent_OSays @t65 tptp.v_Ba @t58) @t39 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t67 () (not @t59)) % 0.45/0.64 (define @t68 () (not @t31)) % 0.45/0.64 (define @t69 () (or @t68 @t67 @t66)) % 0.45/0.64 (define @t70 () (@list false false false)) % 0.45/0.64 (define @t71 () (tptp.c_in @t58 @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t72 () (not @t66)) % 0.45/0.64 (define @t73 () (or @t72 @t71)) % 0.45/0.64 (define @t74 () (@list false false)) % 0.45/0.64 (define @t75 () (tptp.c_in @t56 @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t76 () (not @t71)) % 0.45/0.64 (define @t77 () (or @t76 @t75)) % 0.45/0.64 (define @t78 () (tptp.c_in tptp.v_X @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t79 () (not @t75)) % 0.45/0.64 (define @t80 () (or @t79 @t78)) % 0.45/0.64 (define @t81 () (tptp.c_Message_Osynth @t61)) % 0.45/0.64 (define @t82 () (tptp.c_in tptp.v_X @t81 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t83 () (not @t78)) % 0.45/0.64 (define @t84 () (or @t83 @t82)) % 0.45/0.64 (define @t85 () (tptp.c_in @t46 (tptp.c_union @t81 @t43 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t86 () (not @t82)) % 0.45/0.64 (define @t87 () (not @t60)) % 0.45/0.64 (define @t88 () (or @t87 @t86 @t85)) % 0.45/0.64 (define @t89 () (tptp.c_in @t46 @t81 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t90 () (not @t85)) % 0.45/0.64 (define @t91 () (or @t90 @t47 @t89)) % 0.45/0.64 (define @t92 () (tptp.c_Message_Omsg_OKey @t34)) % 0.45/0.64 (define @t93 () (tptp.c_in @t92 @t43 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t94 () (not @t93)) % 0.45/0.64 (define @t95 () (or @t68 @t94 @t30)) % 0.45/0.64 (define @t96 () (tptp.c_in @t92 @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t97 () (not @t96)) % 0.45/0.64 (define @t98 () (or @t97 @t93)) % 0.45/0.64 (define @t99 () (@list true false)) % 0.45/0.64 (define @t100 () (not @t89)) % 0.45/0.64 (define @t101 () (or @t100 @t62 @t96)) % 0.45/0.64 (define @t102 () (forall @t53 @t50)) % 0.45/0.64 (define @t103 () (or @t51 @t48 @t50)) % 0.45/0.64 (define @t104 () (tptp.v_sko__vCt tptp.v_A tptp.v_B tptp.v_NA tptp.v_NB tptp.v_evs4)) % 0.45/0.64 (define @t105 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair @t33 (tptp.c_Message_Omsg_OMPair @t32 (tptp.c_Message_Omsg_OMPair @t104 @t35))))) @t39 tptp.tc_Event_Oevent)) % 0.45/0.64 (define @t106 () (tptp.c_in @t35 @t43 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t107 () (not @t106)) % 0.45/0.64 (define @t108 () (or @t68 @t107 @t30 @t105)) % 0.45/0.64 (define @t109 () (tptp.c_in @t36 @t43 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t110 () (not @t109)) % 0.45/0.64 (define @t111 () (or @t110 @t106)) % 0.45/0.64 (define @t112 () (tptp.c_in @t37 @t43 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t113 () (not @t112)) % 0.45/0.64 (define @t114 () (or @t113 @t109)) % 0.45/0.64 (define @t115 () (tptp.c_in @t37 @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t116 () (not @t115)) % 0.45/0.64 (define @t117 () (or @t116 @t112)) % 0.45/0.64 (define @t118 () (tptp.c_in @t38 @t61 tptp.tc_Message_Omsg)) % 0.45/0.64 (define @t119 () (not @t118)) % 0.45/0.64 (define @t120 () (or @t119 @t115)) % 0.45/0.64 (define @t121 () (= tptp.v_X @t38)) % 0.45/0.64 (define @t122 () (not @t121)) % 0.45/0.64 (define @t123 () (and @t78 @t121 @t119)) % 0.45/0.64 (define @t124 () (not @t40)) % 0.45/0.64 (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)))) % 0.45/0.64 (assume @p2 (forall (@list @t8 @t3 @t7) (or (not (tptp.c_in @t9 @t10 tptp.tc_Message_Omsg)) (tptp.c_in @t9 @t7 tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey @t8) @t7 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p3 (forall (@list @t14 @t3 @t7) (or (not (tptp.c_in @t14 (tptp.c_Message_Oparts (tptp.c_insert @t3 @t7 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not @t15) (tptp.c_in @t14 (tptp.c_union @t13 @t11 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p4 (forall @t19 (or @t18 (tptp.c_in @t16 @t12 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p5 (forall @t19 (or @t18 (tptp.c_in @t3 @t12 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p6 (forall @t19 (or (not (tptp.c_in @t17 @t11 tptp.tc_Message_Omsg)) (tptp.c_in @t16 @t11 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p7 (forall @t19 (or (not (tptp.c_in @t17 @t13 tptp.tc_Message_Omsg)) @t15))) % 0.45/0.64 (assume @p8 (forall (@list @t20 @t7) (or (not (tptp.c_in @t20 @t12 tptp.tc_Message_Omsg)) (tptp.c_in @t20 @t11 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p9 (forall (@list @t3 @t7) (or (not (tptp.c_in @t3 @t7 tptp.tc_Message_Omsg)) (tptp.c_in @t3 @t10 tptp.tc_Message_Omsg)))) % 0.45/0.64 (assume @p10 (forall (@list @t1 @t5 @t24 @t23 @t6) (or @t28 (not (tptp.c_in @t25 @t26 tptp.tc_Message_Omsg)) (tptp.c_in @t5 tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays @t5 tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair @t24 (tptp.c_Message_Omsg_OMPair @t22 (tptp.c_Message_Omsg_OMPair @t21 (tptp.c_Message_Omsg_OMPair (tptp.v_sko__vCt @t6 @t5 @t24 @t23 @t1) @t25))))) @t4 tptp.tc_Event_Oevent)))) % 0.45/0.64 (assume @p11 (forall (@list @t1 @t5 @t3) (or @t28 (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__uwX @t5 @t3 @t1) @t5 @t3) @t4 tptp.tc_Event_Oevent)))) % 0.45/0.64 (assume @p12 (forall (@list @t1 @t6) (or @t28 (not (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK @t6)) @t26 tptp.tc_Message_Omsg)) (tptp.c_in @t6 tptp.c_Event_Obad tptp.tc_Message_Oagent)))) % 0.45/0.64 (assume @p13 (forall (@list @t20 @t6 @t5 @t29) (or (not (tptp.c_in @t20 (tptp.c_union @t6 @t5 @t29) @t29)) (tptp.c_in @t20 @t5 @t29) (tptp.c_in @t20 @t6 @t29)))) % 0.45/0.64 (assume @p14 (not @t30)) % 0.45/0.64 (assume @p15 @t31) % 0.45/0.64 (assume @p16 @t41) % 0.45/0.64 (assume @p17 @t54) % 0.45/0.64 (assume @p18 @t59) % 0.45/0.64 (assume @p19 @t60) % 0.45/0.64 (assume @p20 (not @t51)) % 0.45/0.64 (step @p21 :rule instantiate :premises (@p8) :args ((@list @t46 @t42))) % 0.45/0.64 (step @p22 :rule cnf_or_pos :args (@t64)) % 0.45/0.64 (step @p23 :rule reordering :premises (@p22) :args ((or @t47 @t63 (not @t64)))) % 0.45/0.64 (step @p24 :rule instantiate :premises (@p3) :args ((@list @t46 tptp.v_X @t42))) % 0.45/0.64 (step @p25 :rule instantiate :premises (@p9) :args ((@list tptp.v_X @t61))) % 0.45/0.64 (step @p26 :rule instantiate :premises (@p5) :args ((@list tptp.v_X @t55 @t42))) % 0.45/0.64 (step @p27 :rule instantiate :premises (@p4) :args ((@list @t57 @t56 @t42))) % 0.45/0.64 (step @p28 :rule instantiate :premises (@p1) :args ((@list @t65 tptp.v_Ba @t58 tptp.v_evs4))) % 0.45/0.64 (step @p29 :rule instantiate :premises (@p11) :args ((@list tptp.v_evs4 tptp.v_Ba @t58))) % 0.45/0.64 (step @p30 :rule cnf_or_pos :args (@t69)) % 0.45/0.64 (step @p31 :rule reordering :premises (@p30) :args ((or @t68 @t67 @t66 (not @t69)))) % 0.45/0.64 (step @p32 :rule chain_m_resolution :premises (@p31 @p15 @p18 @p29) :args (@t66 @t70 (@list @t31 @t59 @t69))) % 0.45/0.64 (step @p33 :rule cnf_or_pos :args (@t73)) % 0.45/0.64 (step @p34 :rule reordering :premises (@p33) :args ((or @t72 @t71 (not @t73)))) % 0.45/0.64 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p28) :args (@t71 @t74 (@list @t66 @t73))) % 0.45/0.64 (step @p36 :rule cnf_or_pos :args (@t77)) % 0.45/0.64 (step @p37 :rule reordering :premises (@p36) :args ((or @t76 @t75 (not @t77)))) % 0.45/0.64 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p27) :args (@t75 @t74 (@list @t71 @t77))) % 0.45/0.64 (step @p39 :rule cnf_or_pos :args (@t80)) % 0.45/0.64 (step @p40 :rule reordering :premises (@p39) :args ((or @t78 @t79 (not @t80)))) % 0.45/0.64 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p26) :args (@t78 @t74 (@list @t75 @t80))) % 0.45/0.64 (step @p42 :rule cnf_or_pos :args (@t84)) % 0.45/0.64 (step @p43 :rule reordering :premises (@p42) :args ((or @t82 @t83 (not @t84)))) % 0.45/0.64 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p25) :args (@t82 @t74 (@list @t78 @t84))) % 0.45/0.64 (step @p45 :rule cnf_or_pos :args (@t88)) % 0.45/0.64 (step @p46 :rule reordering :premises (@p45) :args ((or @t87 @t86 @t85 (not @t88)))) % 0.45/0.64 (step @p47 :rule chain_m_resolution :premises (@p46 @p19 @p44 @p24) :args (@t85 @t70 (@list @t60 @t82 @t88))) % 0.45/0.64 (step @p48 :rule instantiate :premises (@p13) :args ((@list @t46 @t81 @t43 tptp.tc_Message_Omsg))) % 0.45/0.64 (step @p49 :rule cnf_or_pos :args (@t91)) % 0.45/0.64 (step @p50 :rule reordering :premises (@p49) :args ((or @t47 @t90 @t89 (not @t91)))) % 0.45/0.64 (step @p51 :rule instantiate :premises (@p8) :args ((@list @t92 @t42))) % 0.45/0.64 (step @p52 :rule instantiate :premises (@p12) :args ((@list tptp.v_evs4 tptp.v_B))) % 0.45/0.64 (step @p53 :rule cnf_or_pos :args (@t95)) % 0.45/0.64 (step @p54 :rule reordering :premises (@p53) :args ((or @t30 @t68 @t94 (not @t95)))) % 0.45/0.64 (step @p55 :rule chain_m_resolution :premises (@p54 @p14 @p15 @p52) :args (@t94 (@list true false false) (@list @t30 @t31 @t95))) % 0.45/0.64 (step @p56 :rule cnf_or_pos :args (@t98)) % 0.45/0.64 (step @p57 :rule reordering :premises (@p56) :args ((or @t93 @t97 (not @t98)))) % 0.45/0.64 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p51) :args (@t97 @t99 (@list @t93 @t98))) % 0.45/0.64 (step @p59 :rule instantiate :premises (@p2) :args ((@list @t34 @t45 @t61))) % 0.45/0.64 (step @p60 :rule cnf_or_pos :args (@t101)) % 0.45/0.64 (step @p61 :rule reordering :premises (@p60) :args ((or @t62 @t96 @t100 (not @t101)))) % 0.45/0.64 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p58 @p50 @p48 @p47 @p23 @p21) :args (@t47 (@list false true false false false true false) (@list @t101 @t96 @t89 @t91 @t85 @t62 @t64))) % 0.45/0.64 (step @p63 :rule quant-miniscope-or :args ((= (forall @t53 @t103) (or @t51 @t48 @t102)))) % 0.45/0.64 (step @p64 :rule aci_norm :args ((= @t52 @t103))) % 0.45/0.64 (step @p65 :rule cong :premises (@p64) :args (@t54)) % 0.45/0.64 (step @p66 :rule trans :premises (@p65 @p63)) % 0.45/0.64 (step @p67 :rule eq_resolve :premises (@p17 @p66)) % 0.45/0.64 (step @p68 :rule chain_m_resolution :premises (@p67 @p20 @p62) :args (@t102 @t99 (@list @t51 @t47))) % 0.45/0.64 (step @p69 :rule instantiate :premises (@p4) :args ((@list @t33 @t37 @t42))) % 0.45/0.64 (step @p70 :rule instantiate :premises (@p8) :args ((@list @t37 @t42))) % 0.45/0.64 (step @p71 :rule instantiate :premises (@p6) :args ((@list @t32 @t36 @t42))) % 0.45/0.64 (step @p72 :rule instantiate :premises (@p6) :args ((@list tptp.v_x @t35 @t42))) % 0.45/0.64 (step @p73 :rule instantiate :premises (@p10) :args ((@list tptp.v_evs4 tptp.v_B tptp.v_NA tptp.v_NB tptp.v_A))) % 0.45/0.64 (step @p74 :rule instantiate :premises (@p68) :args ((@list @t104))) % 0.45/0.64 (step @p75 :rule cnf_or_pos :args (@t108)) % 0.45/0.64 (step @p76 :rule reordering :premises (@p75) :args ((or @t30 @t68 @t107 @t105 (not @t108)))) % 0.45/0.64 (step @p77 :rule chain_m_resolution :premises (@p76 @p14 @p15 @p74 @p73) :args (@t107 (@list true false true false) (@list @t30 @t31 @t105 @t108))) % 0.45/0.64 (step @p78 :rule cnf_or_pos :args (@t111)) % 0.45/0.64 (step @p79 :rule reordering :premises (@p78) :args ((or @t106 @t110 (not @t111)))) % 0.45/0.64 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p72) :args (@t110 @t99 (@list @t106 @t111))) % 0.45/0.64 (step @p81 :rule cnf_or_pos :args (@t114)) % 0.45/0.64 (step @p82 :rule reordering :premises (@p81) :args ((or @t113 @t109 (not @t114)))) % 0.45/0.64 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p71) :args (@t113 @t99 (@list @t109 @t114))) % 0.45/0.64 (step @p84 :rule cnf_or_pos :args (@t117)) % 0.45/0.64 (step @p85 :rule reordering :premises (@p84) :args ((or @t116 @t112 (not @t117)))) % 0.45/0.64 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p70) :args (@t116 @t99 (@list @t112 @t117))) % 0.45/0.64 (step @p87 :rule cnf_or_pos :args (@t120)) % 0.45/0.64 (step @p88 :rule reordering :premises (@p87) :args ((or @t119 @t115 (not @t120)))) % 0.45/0.64 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p69) :args (@t119 @t99 (@list @t115 @t120))) % 0.45/0.64 (step @p90 :rule bool-double-not-elim :args (@t118)) % 0.45/0.64 (step @p91 :rule refl :args (@t83)) % 0.45/0.64 (step @p92 :rule refl :args (@t122)) % 0.45/0.64 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args ((or @t122 @t83 (not @t119)))) % 0.45/0.64 (assume-push @p136 @t78) % 0.45/0.64 (assume-push @p137 @t121) % 0.45/0.64 (assume-push @p138 @t119) % 0.45/0.64 (step @p97 :rule evaluate :args ((= false true))) % 0.45/0.64 (step @p98 :rule true_intro :premises (@p41)) % 0.45/0.64 (step @p99 :rule refl :args (tptp.tc_Message_Omsg)) % 0.45/0.64 (step @p100 :rule refl :args (@t61)) % 0.45/0.64 (step @p101 :rule symm :premises (@p137)) % 0.45/0.64 (step @p102 :rule cong :premises (@p101 @p100 @p99) :args (@t118)) % 0.45/0.64 (step @p103 :rule false_intro :premises (@p89)) % 0.45/0.64 (step @p104 :rule symm :premises (@p103)) % 0.45/0.64 (step @p105 :rule trans :premises (@p104 @p102 @p98)) % 0.45/0.64 (step @p106 false :rule eq_resolve :premises (@p105 @p97)) % 0.45/0.64 (step-pop @p139 :rule scope :premises (@p106)) % 0.45/0.64 (step-pop @p140 :rule scope :premises (@p139)) % 0.45/0.64 (step-pop @p141 :rule scope :premises (@p140)) % 0.45/0.64 (step @p107 :rule process_scope :premises (@p141) :args (false)) % 0.45/0.64 (assume-push @p142 @t121) % 0.45/0.64 (assume-push @p143 @t78) % 0.45/0.64 (assume-push @p144 @t119) % 0.45/0.64 (step @p114 :rule and_intro :premises (@p41 @p142 @p89)) % 0.45/0.64 (step-pop @p145 :rule scope :premises (@p114)) % 0.45/0.64 (step-pop @p146 :rule scope :premises (@p145)) % 0.45/0.64 (step-pop @p147 :rule scope :premises (@p146)) % 0.45/0.64 (step @p115 :rule process_scope :premises (@p147) :args (@t123)) % 0.45/0.64 (step @p119 :rule implies_elim :premises (@p115)) % 0.45/0.64 (step @p120 :rule resolution :premises (@p119 @p107) :args (true @t123)) % 0.45/0.64 (step @p121 :rule not_and :premises (@p120)) % 0.45/0.64 (step @p122 :rule eq_resolve :premises (@p121 @p93)) % 0.45/0.64 (step @p123 :rule chain_m_resolution :premises (@p122 @p41 @p89) :args (@t122 (@list false true) (@list @t78 @t118))) % 0.45/0.64 (step @p124 :rule eq-symm :args (@t38 tptp.v_X)) % 0.45/0.64 (step @p125 :rule refl :args (@t40)) % 0.45/0.64 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t41)) % 0.45/0.64 (step @p127 :rule eq_resolve :premises (@p16 @p126)) % 0.45/0.64 (step @p128 :rule chain_m_resolution :premises (@p127 @p123) :args (@t40 (@list true) (@list @t121))) % 0.45/0.64 (assume-push @p148 @t102) % 0.45/0.64 (step @p130 :rule instantiate :premises (@p68) :args ((@list tptp.v_x))) % 0.45/0.64 (step-pop @p149 :rule scope :premises (@p130)) % 0.45/0.64 (step @p131 :rule process_scope :premises (@p149) :args (@t124)) % 0.45/0.64 (step @p133 :rule implies_elim :premises (@p131)) % 0.45/0.64 (step @p134 :rule reordering :premises (@p133) :args ((or @t124 (not @t102)))) % 0.45/0.64 (step @p135 false :rule chain_m_resolution :premises (@p134 @p128 @p68) :args (false @t74 (@list @t40 @t102))) % 0.45/0.64 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------