%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV332-2 : 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 : n008.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 09:01:09 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV332-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 20:04:33 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.v_K $$unsorted) % 0.37/0.58 (declare-const tptp.v_NA $$unsorted) % 0.37/0.58 (declare-const tptp.v_NB $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_ONonce (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.tc_Message_Oagent $$unsorted) % 0.37/0.58 (declare-const tptp.c_Event_Obad $$unsorted) % 0.37/0.58 (declare-const tptp.v_sko__2jj (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OCrypt (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_List_Oset (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_A $$unsorted) % 0.37/0.58 (declare-const tptp.v_sko__2ji (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_Aa $$unsorted) % 0.37/0.58 (declare-const tptp.c_Public_OshrK (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OMPair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Oagent_OSpy $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.tc_Event_Oevent $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Event_Oknows (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OKey (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Message_Omsg_OAgent (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_evs4 $$unsorted) % 0.37/0.58 (declare-const tptp.c_Message_Oagent_OServer $$unsorted) % 0.37/0.58 (declare-const tptp.v_X $$unsorted) % 0.37/0.58 (declare-const tptp.c_Event_Oevent_OSays (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_B $$unsorted) % 0.37/0.58 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.c_Yahalom_Oyahalom $$unsorted) % 0.37/0.58 (declare-const tptp.c_Event_Oevent_OGets (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.v_Ba $$unsorted) % 0.37/0.58 (define @t1 () (@var "V_H" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "V_X" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.c_Message_Oanalz @t1)) % 0.37/0.58 (define @t4 () (tptp.c_in @t2 @t3 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t5 () (@var "V_Y" $$unsorted)) % 0.37/0.58 (define @t6 () (not (tptp.c_in (tptp.c_Message_Omsg_OMPair @t2 @t5) @t3 tptp.tc_Message_Omsg))) % 0.37/0.58 (define @t7 () (@list @t2 @t5 @t1)) % 0.37/0.58 (define @t8 () (@var "V_evs" $$unsorted)) % 0.37/0.58 (define @t9 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy @t8)) % 0.37/0.58 (define @t10 () (tptp.c_Message_Oanalz @t9)) % 0.37/0.58 (define @t11 () (tptp.c_in @t2 @t10 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t12 () (@var "V_A" $$unsorted)) % 0.37/0.58 (define @t13 () (tptp.c_Public_OshrK @t12)) % 0.37/0.58 (define @t14 () (tptp.c_in @t12 tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.37/0.58 (define @t15 () (tptp.c_List_Oset @t8 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t16 () (@var "V_K" $$unsorted)) % 0.37/0.58 (define @t17 () (tptp.c_Message_Omsg_OKey @t16)) % 0.37/0.58 (define @t18 () (@var "V_B" $$unsorted)) % 0.37/0.58 (define @t19 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t18) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t12) @t17))) % 0.37/0.58 (define @t20 () (@var "V_nb" $$unsorted)) % 0.37/0.58 (define @t21 () (@var "V_na" $$unsorted)) % 0.37/0.58 (define @t22 () (tptp.c_Message_Omsg_OAgent @t18)) % 0.37/0.58 (define @t23 () (tptp.c_Message_Omsg_OCrypt @t13 (tptp.c_Message_Omsg_OMPair @t22 (tptp.c_Message_Omsg_OMPair @t17 (tptp.c_Message_Omsg_OMPair @t21 @t20))))) % 0.37/0.58 (define @t24 () (tptp.c_Message_Oparts @t9)) % 0.37/0.58 (define @t25 () (tptp.tc_List_Olist tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t26 () (not (tptp.c_in @t8 tptp.c_Yahalom_Oyahalom @t25))) % 0.37/0.58 (define @t27 () (@var "V_A_H" $$unsorted)) % 0.37/0.58 (define @t28 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t12 (tptp.c_Message_Omsg_OMPair @t23 @t2)) @t15 tptp.tc_Event_Oevent))) % 0.37/0.58 (define @t29 () (@var "V_X_H" $$unsorted)) % 0.37/0.58 (define @t30 () (@var "V_nb_H" $$unsorted)) % 0.37/0.58 (define @t31 () (@var "V_na_H" $$unsorted)) % 0.37/0.58 (define @t32 () (@var "V_B_H" $$unsorted)) % 0.37/0.58 (define @t33 () (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t27 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK @t27) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent @t32) (tptp.c_Message_Omsg_OMPair @t17 (tptp.c_Message_Omsg_OMPair @t31 @t30)))) @t29)) @t15 tptp.tc_Event_Oevent))) % 0.37/0.58 (define @t34 () (@list @t8 @t27 @t32 @t16 @t31 @t30 @t29 @t12 @t18 @t21 @t20 @t2)) % 0.37/0.58 (define @t35 () (tptp.c_in tptp.v_evs4 tptp.c_Yahalom_Oyahalom @t25)) % 0.37/0.58 (define @t36 () (not (= tptp.v_A tptp.v_Aa))) % 0.37/0.58 (define @t37 () (not (= tptp.v_B tptp.v_Ba))) % 0.37/0.58 (define @t38 () (@var "V_U" $$unsorted)) % 0.37/0.58 (define @t39 () (not (= @t38 tptp.v_X))) % 0.37/0.58 (define @t40 () (or @t39 @t37 @t36)) % 0.37/0.58 (define @t41 () (@list @t38)) % 0.37/0.58 (define @t42 () (forall @t41 @t40)) % 0.37/0.58 (define @t43 () (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t44 () (tptp.c_Message_Omsg_ONonce tptp.v_NB)) % 0.37/0.58 (define @t45 () (tptp.c_Message_Omsg_ONonce tptp.v_NA)) % 0.37/0.58 (define @t46 () (tptp.c_Message_Omsg_OMPair @t45 @t44)) % 0.37/0.58 (define @t47 () (tptp.c_Message_Omsg_OKey tptp.v_K)) % 0.37/0.58 (define @t48 () (tptp.c_Message_Omsg_OMPair @t47 @t46)) % 0.37/0.58 (define @t49 () (tptp.c_Message_Omsg_OAgent tptp.v_Ba)) % 0.37/0.58 (define @t50 () (tptp.c_Message_Omsg_OMPair @t49 @t48)) % 0.37/0.58 (define @t51 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) @t50)) % 0.37/0.58 (define @t52 () (tptp.c_Message_Omsg_OMPair @t51 tptp.v_X)) % 0.37/0.58 (define @t53 () (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_Aa @t52) @t43 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t54 () (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4)) % 0.37/0.58 (define @t55 () (tptp.c_Message_Oanalz @t54)) % 0.37/0.58 (define @t56 () (tptp.c_in @t47 @t55 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t57 () (tptp.c_Message_Oparts @t54)) % 0.37/0.58 (define @t58 () (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) @t47))) % 0.37/0.58 (define @t59 () (tptp.c_in @t58 @t57 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t60 () (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.37/0.58 (define @t61 () (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) @t47))) % 0.37/0.58 (define @t62 () (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2jj tptp.v_A tptp.v_B tptp.v_K tptp.v_evs4))) % 0.37/0.58 (define @t63 () (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2ji tptp.v_A tptp.v_B tptp.v_K tptp.v_evs4))) % 0.37/0.58 (define @t64 () (@list tptp.v_evs4 tptp.v_A tptp.v_B tptp.v_K @t63 @t62 @t58 tptp.v_Aa tptp.v_Ba @t45 @t44 @t61)) % 0.37/0.58 (define @t65 () (tptp.c_in @t52 @t55 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t66 () (not @t53)) % 0.37/0.58 (define @t67 () (not @t35)) % 0.37/0.58 (define @t68 () (or @t67 @t66 @t65)) % 0.37/0.58 (define @t69 () (tptp.c_in @t51 @t55 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t70 () (not @t65)) % 0.37/0.58 (define @t71 () (or @t70 @t69)) % 0.37/0.58 (define @t72 () (@list false false)) % 0.37/0.58 (define @t73 () (tptp.c_in @t51 @t57 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t74 () (not @t69)) % 0.37/0.58 (define @t75 () (or @t74 @t73)) % 0.37/0.58 (define @t76 () (tptp.c_in @t48 @t55 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t77 () (not @t76)) % 0.37/0.58 (define @t78 () (or @t77 @t56)) % 0.37/0.58 (define @t79 () (@list true false)) % 0.37/0.58 (define @t80 () (tptp.c_in @t50 @t55 tptp.tc_Message_Omsg)) % 0.37/0.58 (define @t81 () (not @t80)) % 0.37/0.58 (define @t82 () (or @t81 @t76)) % 0.37/0.58 (define @t83 () (tptp.c_in tptp.v_Aa tptp.c_Event_Obad tptp.tc_Message_Oagent)) % 0.37/0.58 (define @t84 () (not @t83)) % 0.37/0.58 (define @t85 () (or @t84 @t74 @t80)) % 0.37/0.58 (define @t86 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair @t51 @t61)) @t43 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t87 () (not @t73)) % 0.37/0.58 (define @t88 () (or @t67 @t87 @t83 @t86)) % 0.37/0.58 (define @t89 () (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair @t47 (tptp.c_Message_Omsg_OMPair @t63 @t62)))) @t58)) @t43 tptp.tc_Event_Oevent)) % 0.37/0.58 (define @t90 () (not @t59)) % 0.37/0.58 (define @t91 () (or @t67 @t90 @t60 @t89)) % 0.37/0.58 (define @t92 () (= tptp.v_Aa tptp.v_A)) % 0.37/0.58 (define @t93 () (not @t86)) % 0.37/0.58 (define @t94 () (not @t89)) % 0.37/0.58 (define @t95 () (or @t67 @t94 @t93 @t92)) % 0.37/0.58 (define @t96 () (@list false false false false)) % 0.37/0.58 (define @t97 () (= tptp.v_Ba tptp.v_B)) % 0.37/0.58 (define @t98 () (or @t67 @t94 @t93 @t97)) % 0.37/0.58 (define @t99 () (not @t92)) % 0.37/0.58 (define @t100 () (not @t97)) % 0.37/0.58 (define @t101 () (not (= tptp.v_X tptp.v_X))) % 0.37/0.58 (define @t102 () (not (= tptp.v_X @t38))) % 0.37/0.59 (define @t103 () (or @t102 @t102)) % 0.37/0.59 (define @t104 () (forall @t41 @t102)) % 0.37/0.59 (define @t105 () (or @t100 @t99 @t104)) % 0.37/0.59 (define @t106 () (or @t100 @t99 @t102)) % 0.37/0.59 (define @t107 () (or @t102 @t100 @t99)) % 0.37/0.59 (assume @p1 (forall (@list @t2 @t1) (or (not @t4) (tptp.c_in @t2 (tptp.c_Message_Oparts @t1) tptp.tc_Message_Omsg)))) % 0.37/0.59 (assume @p2 (forall @t7 (or @t6 (tptp.c_in @t5 @t3 tptp.tc_Message_Omsg)))) % 0.37/0.59 (assume @p3 (forall @t7 (or @t6 @t4))) % 0.37/0.59 (assume @p4 (forall (@list @t12 @t2 @t8) (or (not @t14) (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt @t13 @t2) @t10 tptp.tc_Message_Omsg)) @t11))) % 0.37/0.59 (assume @p5 (forall (@list @t8 @t12 @t18 @t16 @t21 @t20) (or @t26 (not (tptp.c_in @t23 @t24 tptp.tc_Message_Omsg)) @t14 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t12 (tptp.c_Message_Omsg_OMPair @t23 @t19)) @t15 tptp.tc_Event_Oevent)))) % 0.37/0.59 (assume @p6 (forall (@list @t8 @t18 @t12 @t16) (or @t26 (not (tptp.c_in @t19 @t24 tptp.tc_Message_Omsg)) (tptp.c_in @t18 tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer @t12 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt @t13 (tptp.c_Message_Omsg_OMPair @t22 (tptp.c_Message_Omsg_OMPair @t17 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2ji @t12 @t18 @t16 @t8)) (tptp.c_Message_Omsg_ONonce (tptp.v_sko__2jj @t12 @t18 @t16 @t8)))))) @t19)) @t15 tptp.tc_Event_Oevent)))) % 0.37/0.59 (assume @p7 (forall (@list @t8 @t18 @t2) (or @t26 (not (tptp.c_in (tptp.c_Event_Oevent_OGets @t18 @t2) @t15 tptp.tc_Event_Oevent)) @t11))) % 0.37/0.59 (assume @p8 (forall @t34 (or @t26 @t33 @t28 (= @t12 @t27)))) % 0.37/0.59 (assume @p9 (forall @t34 (or @t26 @t33 @t28 (= @t18 @t32)))) % 0.37/0.59 (assume @p10 @t35) % 0.37/0.59 (assume @p11 @t42) % 0.37/0.59 (assume @p12 @t53) % 0.37/0.59 (assume @p13 (not @t56)) % 0.37/0.59 (assume @p14 @t59) % 0.37/0.59 (assume @p15 (not @t60)) % 0.37/0.59 (step @p16 :rule instantiate :premises (@p8) :args (@t64)) % 0.37/0.59 (step @p17 :rule instantiate :premises (@p5) :args ((@list tptp.v_evs4 tptp.v_Aa tptp.v_Ba tptp.v_K @t45 @t44))) % 0.37/0.59 (step @p18 :rule instantiate :premises (@p1) :args ((@list @t51 @t54))) % 0.37/0.59 (step @p19 :rule instantiate :premises (@p3) :args ((@list @t51 tptp.v_X @t54))) % 0.37/0.59 (step @p20 :rule instantiate :premises (@p7) :args ((@list tptp.v_evs4 tptp.v_Aa @t52))) % 0.37/0.59 (step @p21 :rule cnf_or_pos :args (@t68)) % 0.37/0.59 (step @p22 :rule reordering :premises (@p21) :args ((or @t67 @t66 @t65 (not @t68)))) % 0.37/0.59 (step @p23 :rule chain_m_resolution :premises (@p22 @p10 @p12 @p20) :args (@t65 (@list false false false) (@list @t35 @t53 @t68))) % 0.37/0.59 (step @p24 :rule cnf_or_pos :args (@t71)) % 0.37/0.59 (step @p25 :rule reordering :premises (@p24) :args ((or @t70 @t69 (not @t71)))) % 0.37/0.59 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p19) :args (@t69 @t72 (@list @t65 @t71))) % 0.37/0.59 (step @p27 :rule cnf_or_pos :args (@t75)) % 0.37/0.59 (step @p28 :rule reordering :premises (@p27) :args ((or @t74 @t73 (not @t75)))) % 0.37/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p18) :args (@t73 @t72 (@list @t69 @t75))) % 0.37/0.59 (step @p30 :rule instantiate :premises (@p4) :args ((@list tptp.v_Aa @t50 tptp.v_evs4))) % 0.37/0.59 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t49 @t48 @t54))) % 0.37/0.59 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t47 @t46 @t54))) % 0.37/0.59 (step @p33 :rule cnf_or_pos :args (@t78)) % 0.37/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t56 @t77 (not @t78)))) % 0.37/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p13 @p32) :args (@t77 @t79 (@list @t56 @t78))) % 0.37/0.59 (step @p36 :rule cnf_or_pos :args (@t82)) % 0.37/0.59 (step @p37 :rule reordering :premises (@p36) :args ((or @t81 @t76 (not @t82)))) % 0.37/0.59 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p31) :args (@t81 @t79 (@list @t76 @t82))) % 0.37/0.59 (step @p39 :rule cnf_or_pos :args (@t85)) % 0.37/0.59 (step @p40 :rule reordering :premises (@p39) :args ((or @t74 @t84 @t80 (not @t85)))) % 0.37/0.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p26 @p38 @p30) :args (@t84 (@list false true false) (@list @t69 @t80 @t85))) % 0.37/0.59 (step @p42 :rule cnf_or_pos :args (@t88)) % 0.37/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t67 @t83 @t87 @t86 (not @t88)))) % 0.37/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p10 @p41 @p29 @p17) :args (@t86 (@list false true false false) (@list @t35 @t83 @t73 @t88))) % 0.37/0.59 (step @p45 :rule instantiate :premises (@p6) :args ((@list tptp.v_evs4 tptp.v_B tptp.v_A tptp.v_K))) % 0.37/0.59 (step @p46 :rule cnf_or_pos :args (@t91)) % 0.37/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t60 @t67 @t90 @t89 (not @t91)))) % 0.37/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p15 @p10 @p14 @p45) :args (@t89 (@list true false false false) (@list @t60 @t35 @t59 @t91))) % 0.37/0.59 (step @p49 :rule cnf_or_pos :args (@t95)) % 0.37/0.59 (step @p50 :rule reordering :premises (@p49) :args ((or @t92 @t67 @t94 @t93 (not @t95)))) % 0.37/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p10 @p48 @p44 @p16) :args (@t92 @t96 (@list @t35 @t89 @t86 @t95))) % 0.37/0.59 (step @p52 :rule instantiate :premises (@p9) :args (@t64)) % 0.37/0.59 (step @p53 :rule cnf_or_pos :args (@t98)) % 0.37/0.59 (step @p54 :rule reordering :premises (@p53) :args ((or @t97 @t67 @t94 @t93 (not @t98)))) % 0.37/0.59 (step @p55 :rule chain_m_resolution :premises (@p54 @p10 @p48 @p44 @p52) :args (@t97 @t96 (@list @t35 @t89 @t86 @t98))) % 0.37/0.59 (step @p56 :rule aci_norm :args ((= (or @t100 @t99 false) (or @t100 @t99)))) % 0.37/0.59 (step @p57 :rule evaluate :args ((not true))) % 0.37/0.59 (step @p58 :rule eq-refl :args (tptp.v_X)) % 0.37/0.59 (step @p59 :rule cong :premises (@p58) :args (@t101)) % 0.37/0.59 (step @p60 :rule trans :premises (@p59 @p57)) % 0.37/0.59 (step @p61 :rule quant-var-elim-eq :args ((= (forall @t41 (or @t39 @t102)) @t101))) % 0.37/0.59 (step @p62 :rule refl :args (@t102)) % 0.37/0.59 (step @p63 :rule eq-symm :args (tptp.v_X @t38)) % 0.37/0.59 (step @p64 :rule cong :premises (@p63) :args (@t102)) % 0.37/0.59 (step @p65 :rule nary_cong :premises (@p64 @p62) :args (@t103)) % 0.37/0.59 (step @p66 :rule aci_norm :args ((= @t102 @t103))) % 0.37/0.59 (step @p67 :rule trans :premises (@p66 @p65)) % 0.37/0.59 (step @p68 :rule cong :premises (@p67) :args (@t104)) % 0.37/0.59 (step @p69 :rule trans :premises (@p68 @p61)) % 0.37/0.59 (step @p70 :rule trans :premises (@p69 @p60)) % 0.37/0.59 (step @p71 :rule refl :args (@t99)) % 0.37/0.59 (step @p72 :rule refl :args (@t100)) % 0.37/0.59 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t105)) % 0.37/0.59 (step @p74 :rule trans :premises (@p73 @p56)) % 0.37/0.59 (step @p75 :rule quant-miniscope-or :args ((= (forall @t41 @t106) @t105))) % 0.37/0.59 (step @p76 :rule aci_norm :args ((= @t107 @t106))) % 0.37/0.59 (step @p77 :rule cong :premises (@p76) :args ((forall @t41 @t107))) % 0.37/0.59 (step @p78 :rule trans :premises (@p77 @p75)) % 0.37/0.59 (step @p79 :rule trans :premises (@p78 @p74)) % 0.37/0.59 (step @p80 :rule eq-symm :args (tptp.v_A tptp.v_Aa)) % 0.37/0.59 (step @p81 :rule cong :premises (@p80) :args (@t36)) % 0.37/0.59 (step @p82 :rule eq-symm :args (tptp.v_B tptp.v_Ba)) % 0.37/0.59 (step @p83 :rule cong :premises (@p82) :args (@t37)) % 0.37/0.59 (step @p84 :rule eq-symm :args (@t38 tptp.v_X)) % 0.37/0.59 (step @p85 :rule cong :premises (@p84) :args (@t39)) % 0.37/0.59 (step @p86 :rule nary_cong :premises (@p85 @p83 @p81) :args (@t40)) % 0.37/0.59 (step @p87 :rule cong :premises (@p86) :args (@t42)) % 0.37/0.59 (step @p88 :rule trans :premises (@p87 @p79)) % 0.37/0.59 (step @p89 :rule eq_resolve :premises (@p11 @p88)) % 0.37/0.59 (step @p90 false :rule chain_m_resolution :premises (@p89 @p55 @p51) :args (false @t72 (@list @t97 @t92))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------