TSTP Solution File: SWV778-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV778-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n023.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 May 29 18:16:05 EDT 2024
% Result : Unsatisfiable 0.53s 0.89s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.21 % Problem : SWV778-1 : TPTP v8.2.0. Released v4.1.0.
% 0.16/0.22 % Command : do_cvc5 %s %d
% 0.24/0.43 % Computer : n023.cluster.edu
% 0.24/0.43 % Model : x86_64 x86_64
% 0.24/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.43 % Memory : 8042.1875MB
% 0.24/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.43 % CPULimit : 300
% 0.24/0.43 % WCLimit : 300
% 0.24/0.43 % DateTime : Sun May 26 21:26:09 EDT 2024
% 0.24/0.43 % CPUTime :
% 0.53/0.67 %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.53/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.DZgDFFBJpz/cvc5---1.0.5_3315.smt2
% 0.53/0.89 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.DZgDFFBJpz/cvc5---1.0.5_3315.smt2
% 0.53/0.91 (assume a0 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A_H V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 0.53/0.91 (assume a1 (forall ((V_agent_H $$unsorted) (V_msg_H $$unsorted) (V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted)) (not (= (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H) (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg)))))
% 0.53/0.91 (assume a2 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H)))))
% 0.53/0.91 (assume a3 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg))))
% 0.53/0.91 (assume a4 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_msg V_msg_H))))
% 0.53/0.91 (assume a5 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent2 V_agent2_H))))
% 0.53/0.91 (assume a6 (forall ((V_agent1 $$unsorted) (V_agent2 $$unsorted) (V_msg $$unsorted) (V_agent1_H $$unsorted) (V_agent2_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OSays V_agent1 V_agent2 V_msg) (tptp.c_Event_Oevent_OSays V_agent1_H V_agent2_H V_msg_H))) (= V_agent1 V_agent1_H))))
% 0.53/0.91 (assume a7 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 0.53/0.91 (assume a8 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 0.53/0.91 (assume a9 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat))))
% 0.53/0.91 (assume a10 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Olist_ONil T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)))))
% 0.53/0.91 (assume a11 (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_xs_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0621) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) tptp.tc_nat))))
% 0.53/0.91 (assume a12 (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_ys T_a) T_a))))
% 0.53/0.91 (assume a13 (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= V_xs_092_060_094isub_0621 (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) tptp.tc_nat)))))
% 0.53/0.91 (assume a14 (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= V_xs_092_060_094isub_0622 (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) tptp.tc_nat)))))
% 0.53/0.91 (assume a15 (forall ((V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a))) (= (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_xs_092_060_094isub_0621 T_a) V_xs_092_060_094isub_0622 T_a) V_ys_092_060_094isub_0622) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) tptp.tc_nat))))
% 0.53/0.91 (assume a16 (forall ((V_n $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Odrop V_n V_xs T_a) (tptp.c_List_Odrop (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_ys T_a) T_a))))
% 0.53/0.91 (assume a17 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a18 (forall ((V_f2 $$unsorted) (V_x $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_f3 $$unsorted) (V_g1 $$unsorted) (V_g3 $$unsorted)) (or (not (= (tptp.hAPP V_f2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_x V_f2 V_g2 T_a)) (tptp.hAPP V_g2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_x V_f2 V_g2 T_a)))) (= V_x tptp.c_Message_Oagent_OServer) (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x T_a) (tptp.c_Message_Oagent_Oagent__case V_g1 V_g2 V_g3 V_x T_a)) (= V_x tptp.c_Message_Oagent_OSpy))))
% 0.53/0.91 (assume a19 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a20 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_A_H $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A_H V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 0.53/0.91 (assume a21 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a22 (forall ((V_x $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted)) (or (= (tptp.c_Message_Oagent_Oagent__case V_x V_f2 V_f3 V_xa T_a) (tptp.c_Message_Oagent_Oagent__case V_x V_g2 V_g3 V_xa T_a)) (= V_xa tptp.c_Message_Oagent_OSpy) (= V_xa (tptp.c_Message_Oagent_OFriend (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xa V_f2 V_g2 T_a))))))
% 0.53/0.91 (assume a23 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a24 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a25 (forall ((V_xa $$unsorted) (V_f2 $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_x $$unsorted) (V_g1 $$unsorted)) (or (= V_xa (tptp.c_Message_Oagent_OFriend (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xa V_f2 V_g2 T_a))) (= V_xa tptp.c_Message_Oagent_OServer) (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_x V_xa T_a) (tptp.c_Message_Oagent_Oagent__case V_g1 V_g2 V_x V_xa T_a)))))
% 0.53/0.91 (assume a26 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a27 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Oappend V_evs (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))
% 0.53/0.91 (assume a28 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a) V_xs)))
% 0.53/0.91 (assume a29 (forall ((T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a30 (forall ((T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a31 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_x $$unsorted) (V_g $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_HOL_Oord T_b)) (tptp.c_lessequals (tptp.hAPP V_f V_x) (tptp.hAPP V_g V_x) T_b) (not (tptp.c_lessequals V_f V_g (tptp.tc_fun T_a T_b))))))
% 0.53/0.91 (assume a32 (forall ((V_f2 $$unsorted) (V_xb $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.hAPP V_f2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xb V_f2 V_g2 T_a)) (tptp.hAPP V_g2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xb V_f2 V_g2 T_a)))) (= (tptp.c_Message_Oagent_Oagent__case V_xa V_f2 V_x V_xb T_a) (tptp.c_Message_Oagent_Oagent__case V_xa V_g2 V_x V_xb T_a)))))
% 0.53/0.91 (assume a33 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a34 (forall ((V_n $$unsorted) (V_i $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus V_n (tptp.c_HOL_Ominus__class_Ominus V_n V_i tptp.tc_nat) tptp.tc_nat) V_i) (not (tptp.c_lessequals V_i V_n tptp.tc_nat)))))
% 0.53/0.91 (assume a35 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Odrop V_n (tptp.c_List_Obutlast V_xs T_a) T_a))))
% 0.53/0.91 (assume a36 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.53/0.91 (assume a37 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 0.53/0.91 (assume a38 (forall ((V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x)) (not (tptp.hBOOL (tptp.hAPP V_A V_x))))))
% 0.53/0.91 (assume a39 (forall ((V_i $$unsorted) (V_j $$unsorted) (V_k $$unsorted)) (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_j tptp.tc_nat) V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_i V_k tptp.tc_nat) V_j tptp.tc_nat))))
% 0.53/0.91 (assume a40 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 0.53/0.91 (assume a41 (forall ((V_m $$unsorted) (V_n $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_m tptp.tc_nat)))
% 0.53/0.91 (assume a42 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Odrop V_n (tptp.c_List_Otl V_xs T_a) T_a))))
% 0.53/0.91 (assume a43 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Obutlast V_xs T_a) T_a) (tptp.c_List_Obutlast (tptp.c_List_Odrop V_n V_xs T_a) T_a))))
% 0.53/0.91 (assume a44 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat))) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)) (= V_m V_n))))
% 0.53/0.91 (assume a45 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (= V_x_H V_y_H))))
% 0.53/0.91 (assume a46 (forall ((T_a $$unsorted) (V_xa $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_xa V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x V_x T_a))) (= V_xa V_y))))
% 0.53/0.91 (assume a47 (forall ((V_m $$unsorted) (V_n $$unsorted) (V_k $$unsorted)) (or (tptp.c_lessequals V_m V_n tptp.tc_nat) (not (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 0.53/0.91 (assume a48 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_k tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_k tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_n tptp.tc_nat)) (not (tptp.c_lessequals V_k V_m tptp.tc_nat)))))
% 0.53/0.91 (assume a49 (forall ((V_m $$unsorted) (V_l $$unsorted) (V_n $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_m V_l tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_n V_l tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 0.53/0.91 (assume a50 (forall ((V_l $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals (tptp.c_HOL_Ominus__class_Ominus V_l V_n tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus V_l V_m tptp.tc_nat) tptp.tc_nat) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 0.53/0.91 (assume a51 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_y V_A T_a) T_a) (tptp.c_Set_Oinsert V_y (tptp.c_Set_Oinsert V_x V_A T_a) T_a))))
% 0.53/0.91 (assume a52 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) T_a) V_c T_a)))))
% 0.53/0.91 (assume a53 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) V_b T_a) V_c T_a)))))
% 0.53/0.91 (assume a54 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_Set_Oinsert V_a V_A T_a) T_a T_b)))))
% 0.53/0.91 (assume a55 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Otl V_xs T_a) T_a) (tptp.c_List_Otl (tptp.c_List_Odrop V_n V_xs T_a) T_a))))
% 0.53/0.91 (assume a56 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals (tptp.c_Set_Oinsert V_x V_A T_a) V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a57 (forall ((V_A $$unsorted) (V_b $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_lessequals V_A (tptp.c_Set_Oinsert V_b V_B T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a58 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Divides_Osemiring__div T_a)) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a) V_b T_a) (tptp.c_Divides_Odiv__class_Omod V_a V_b T_a)))))
% 0.53/0.91 (assume a59 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (= (tptp.c_Set_Oinsert V_x (tptp.c_Set_Oinsert V_x V_A T_a) T_a) (tptp.c_Set_Oinsert V_x V_A T_a))))
% 0.53/0.91 (assume a60 (forall ((V_A $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_A V_x)) (= V_y V_x) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_y V_A T_a) V_x))))))
% 0.53/0.91 (assume a61 (forall ((V_B $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_B (tptp.c_Set_Oinsert V_a V_B T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a62 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= (tptp.c_Divides_Odiv__class_Omod V_m V_n tptp.tc_nat) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) V_n tptp.tc_nat)) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)))))
% 0.53/0.91 (assume a63 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otl (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)))
% 0.53/0.91 (assume a64 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a65 (forall ((V_m $$unsorted) (V_n $$unsorted)) (or (= V_m V_n) (not (tptp.c_lessequals V_n V_m tptp.tc_nat)) (not (tptp.c_lessequals V_m V_n tptp.tc_nat)))))
% 0.53/0.91 (assume a66 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (= V_A V_B) (not (tptp.c_lessequals V_B V_A (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a67 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.53/0.91 (assume a68 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.53/0.91 (assume a69 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (= V_x V_y) (not (tptp.c_lessequals V_x V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.53/0.91 (assume a70 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted) (V_b_H $$unsorted) (V_a $$unsorted) (V_a_H $$unsorted)) (or (not (tptp.class_Divides_Oring__div T_a)) (not (= (tptp.c_Divides_Odiv__class_Omod V_b V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_b_H V_c T_a))) (not (= (tptp.c_Divides_Odiv__class_Omod V_a V_c T_a) (tptp.c_Divides_Odiv__class_Omod V_a_H V_c T_a))) (= (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a V_b T_a) V_c T_a) (tptp.c_Divides_Odiv__class_Omod (tptp.c_HOL_Ominus__class_Ominus V_a_H V_b_H T_a) V_c T_a)))))
% 0.53/0.91 (assume a71 (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Olist__update V_xs V_i V_x T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a72 (forall ((V_x $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.c_Set_Oinsert V_x V_A T_a) V_x))))
% 0.53/0.91 (assume a73 (forall ((T_a $$unsorted) (V_z $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_z V_x T_a) (not (tptp.c_lessequals V_z V_y T_a)) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.53/0.91 (assume a74 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_z $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_z T_a) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.53/0.91 (assume a75 (forall ((V_n $$unsorted)) (tptp.c_lessequals V_n V_n tptp.tc_nat)))
% 0.53/0.91 (assume a76 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_j $$unsorted)) (or (tptp.c_lessequals V_i V_k tptp.tc_nat) (not (tptp.c_lessequals V_j V_k tptp.tc_nat)) (not (tptp.c_lessequals V_i V_j tptp.tc_nat)))))
% 0.53/0.91 (assume a77 (forall ((V_x $$unsorted)) (tptp.c_lessequals V_x V_x tptp.tc_nat)))
% 0.53/0.91 (assume a78 (forall ((V_x $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x V_x (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a79 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a80 (forall ((V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (tptp.c_lessequals V_A V_C (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_B V_C (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a81 (forall ((V_f $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_B $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f V_A T_a T_b) (not (tptp.c_lessequals V_A V_B (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.c_Fun_Oinj__on V_f V_B T_a T_b)))))
% 0.53/0.91 (assume a82 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a83 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 0.53/0.91 (assume a84 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Opreorder T_a)) (tptp.c_lessequals V_x V_x T_a))))
% 0.53/0.91 (assume a85 (forall ((V_Q $$unsorted) (V_x $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_Q V_x)) (not (tptp.c_lessequals V_P V_Q (tptp.tc_fun T_a tptp.tc_bool))) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.53/0.91 (assume a86 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a87 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y_H V_x_H T_a) (not (tptp.c_lessequals V_y V_x T_a)))))
% 0.53/0.91 (assume a88 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_x_H $$unsorted) (V_y_H $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (= (tptp.c_HOL_Ominus__class_Ominus V_x V_y T_a) (tptp.c_HOL_Ominus__class_Ominus V_x_H V_y_H T_a))) (tptp.c_lessequals V_y V_x T_a) (not (tptp.c_lessequals V_y_H V_x_H T_a)))))
% 0.53/0.91 (assume a89 (forall ((V_a $$unsorted) (V_C $$unsorted) (T_a $$unsorted) (V_D $$unsorted)) (or (tptp.c_lessequals (tptp.c_Set_Oinsert V_a V_C T_a) (tptp.c_Set_Oinsert V_a V_D T_a) (tptp.tc_fun T_a tptp.tc_bool)) (not (tptp.c_lessequals V_C V_D (tptp.tc_fun T_a tptp.tc_bool))))))
% 0.53/0.91 (assume a90 (forall ((V_n $$unsorted) (V_m $$unsorted)) (or (tptp.c_lessequals V_n V_m tptp.tc_nat) (tptp.c_lessequals V_m V_n tptp.tc_nat))))
% 0.53/0.91 (assume a91 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))
% 0.53/0.91 (assume a92 (forall ((V_n $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Orotate V_n (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Orotate (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) tptp.tc_nat) V_xs T_a)))))
% 0.53/0.91 (assume a93 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a94 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Obutlast V_xs T_a) T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a95 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a96 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_Set_Oinsert V_x (tptp.c_List_Oset V_xs T_a) T_a))))
% 0.53/0.91 (assume a97 (forall ((V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist_OCons V_x V_ys T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_a)) tptp.tc_nat))))
% 0.53/0.91 (assume a98 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Obutlast V_xs T_a))))
% 0.53/0.91 (assume a99 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otl (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Otl V_xs T_a) V_ys T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a100 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Obutlast (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Obutlast V_ys T_a) T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a101 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Otake V_n V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a102 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a103 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Otake V_n V_xs T_a) V_xs) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat)))))
% 0.53/0.91 (assume a104 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Ofilter V_P V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)))
% 0.53/0.91 (assume a105 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_lessequals V_x V_y T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_OCons V_y V_zs T_a) T_a) T_a)))))
% 0.53/0.91 (assume a106 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_zs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_OCons V_y V_zs T_a) T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_y V_zs T_a) T_a)) (not (tptp.c_lessequals V_x V_y T_a)))))
% 0.53/0.91 (assume a107 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Odrop V_n V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a108 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Odrop V_n V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_n tptp.tc_nat))))
% 0.53/0.91 (assume a109 (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_xs) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat)))))
% 0.53/0.91 (assume a110 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)))
% 0.53/0.91 (assume a111 (forall ((V_n $$unsorted) (V_m $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Otake V_m V_xs T_a) T_a) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus V_m V_n tptp.tc_nat) (tptp.c_List_Odrop V_n V_xs T_a) T_a))))
% 0.53/0.91 (assume a112 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate V_n V_xs T_a) (tptp.c_List_Orotate (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_xs T_a))))
% 0.53/0.91 (assume a113 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Oremove1 V_x V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a114 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat)))
% 0.53/0.91 (assume a115 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a116 (forall ((V_f2 $$unsorted) (V_xa $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_f3 $$unsorted) (V_g3 $$unsorted)) (or (not (= (tptp.hAPP V_f2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xa V_f2 V_g2 T_a)) (tptp.hAPP V_g2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xa V_f2 V_g2 T_a)))) (= (tptp.c_Message_Oagent_Oagent__case V_x V_f2 V_f3 V_xa T_a) (tptp.c_Message_Oagent_Oagent__case V_x V_g2 V_g3 V_xa T_a)) (= V_xa tptp.c_Message_Oagent_OSpy))))
% 0.53/0.91 (assume a117 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a118 (forall ((V_A $$unsorted) (V_evs $$unsorted) (V_e $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows V_A V_evs) (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons V_e V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 0.53/0.91 (assume a119 (forall ((V_i $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_i (tptp.c_List_Oreplicate V_k V_x T_a) T_a) (tptp.c_List_Oreplicate (tptp.c_HOL_Ominus__class_Ominus V_k V_i tptp.tc_nat) V_x T_a))))
% 0.53/0.91 (assume a120 (forall ((V_xs $$unsorted) (V_I $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_List_Oset (tptp.c_List_Osublist V_xs V_I T_a) T_a) (tptp.c_List_Oset V_xs T_a) (tptp.tc_fun T_a tptp.tc_bool))))
% 0.53/0.91 (assume a121 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a122 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a123 (forall ((V_f2 $$unsorted) (V_xa $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (V_f1 $$unsorted) (V_x $$unsorted) (V_g1 $$unsorted)) (or (not (= (tptp.hAPP V_f2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xa V_f2 V_g2 T_a)) (tptp.hAPP V_g2 (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xa V_f2 V_g2 T_a)))) (= V_xa tptp.c_Message_Oagent_OServer) (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_x V_xa T_a) (tptp.c_Message_Oagent_Oagent__case V_g1 V_g2 V_x V_xa T_a)))))
% 0.53/0.91 (assume a124 (forall ((V_xb $$unsorted) (V_f2 $$unsorted) (V_g2 $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_x $$unsorted)) (or (= V_xb (tptp.c_Message_Oagent_OFriend (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_xb V_f2 V_g2 T_a))) (= (tptp.c_Message_Oagent_Oagent__case V_xa V_f2 V_x V_xb T_a) (tptp.c_Message_Oagent_Oagent__case V_xa V_g2 V_x V_xb T_a)))))
% 0.53/0.91 (assume a125 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a126 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_f3))) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))) (not (tptp.hBOOL (tptp.hAPP V_P V_f1))))))
% 0.53/0.91 (assume a127 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (tptp.c_lessequals (tptp.c_Event_OinitState V_A) (tptp.c_Event_Oknows V_A V_evs) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 0.53/0.91 (assume a128 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__Xinduct__1 V_P) (tptp.v_sko__List__Xlist__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a129 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlist__update__Xinduct__1 V_P) (tptp.v_sko__List__Xlist__update__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a130 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__XremoveAll__Xinduct__1 V_P) (tptp.v_sko__List__XremoveAll__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a131 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__XtakeWhile__Xinduct__1 V_P) (tptp.v_sko__List__XtakeWhile__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a132 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__XdropWhile__Xinduct__1 V_P) (tptp.v_sko__List__XdropWhile__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a133 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xzip__Xinduct__1 V_P) (tptp.v_sko__List__Xzip__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a134 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistset__Xinduct__1 V_P) (tptp.v_sko__List__Xlistset__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a135 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xremove1__Xinduct__1 V_P) (tptp.v_sko__List__Xremove1__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a136 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xdistinct__Xinduct__1 V_P) (tptp.v_sko__List__Xdistinct__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a137 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlistsum__Xinduct__1 V_P) (tptp.v_sko__List__Xlistsum__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a138 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_OCons (tptp.v_sko__List__Xlast__Xinduct__1 V_P) (tptp.v_sko__List__Xlast__Xinduct__2 V_P) tptp.t_a)))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a139 (forall ((V_ys_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_xs_092_060_094isub_0621 $$unsorted) (V_xs_092_060_094isub_0622 $$unsorted)) (or (not (= (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_xs_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0621)) (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) tptp.tc_nat) (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 V_xs_092_060_094isub_0622 T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_xs_092_060_094isub_0621 T_a) V_xs_092_060_094isub_0622 T_a) T_a)))))
% 0.53/0.91 (assume a140 (forall ((V_xs_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_ys_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (or (not (= V_xs_092_060_094isub_0621 (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a))) (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a) T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a)) (not (tptp.c_lessequals (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) tptp.tc_nat)))))
% 0.53/0.91 (assume a141 (forall ((T_b $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_b)) (= (tptp.c_Finite__Set_Osetsum V_f (tptp.c_List_Oset V_xs T_a) T_a T_b) (tptp.c_List_Olistsum (tptp.c_List_Omap V_f V_xs T_a T_b) T_b)) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a142 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oappend (tptp.c_List_Obutlast V_xs T_a) (tptp.c_List_Olist_OCons (tptp.c_List_Olast V_xs T_a) (tptp.c_List_Olist_ONil T_a) T_a) T_a) V_xs) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a143 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_xs $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Otake V_i V_xs T_a)) (tptp.c_List_Odrop (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a))))
% 0.53/0.91 (assume a144 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_xs $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Odrop V_i V_xs T_a)) (tptp.c_List_Otake (tptp.c_HOL_Ominus__class_Ominus (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_i tptp.tc_nat) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a))))
% 0.53/0.91 (assume a145 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Set_Oinsert V_X (tptp.c_Event_Oknows V_A V_evs) tptp.tc_Message_Omsg)) (= V_A tptp.c_Message_Oagent_OSpy))))
% 0.53/0.91 (assume a146 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (tptp.c_lessequals (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.tc_fun tptp.tc_Message_Omsg tptp.tc_bool))))
% 0.53/0.91 (assume a147 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__asm__1 V_P V_f2 V_x))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a148 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_g1 $$unsorted) (V_g2 $$unsorted) (V_g3 $$unsorted)) (or (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x T_a) (tptp.c_Message_Oagent_Oagent__case V_g1 V_g2 V_g3 V_x T_a)) (= V_x tptp.c_Message_Oagent_OSpy) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.c_Message_Osko__Message__Xagent__Xcase__cong__1__1 V_x V_f2 V_g2 T_a))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a149 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_x $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 V_x tptp.t_a))) (= V_x tptp.c_Message_Oagent_OSpy) (= V_x (tptp.c_Message_Oagent_OFriend (tptp.v_sko__Message__Xagent__Xsplit__1 V_P V_f2 V_x))) (= V_x tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a150 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate V_n V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_xs T_a) (tptp.c_List_Otake (tptp.c_Divides_Odiv__class_Omod V_n (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) tptp.tc_nat) V_xs T_a) T_a))))
% 0.53/0.91 (assume a151 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Orotate1 V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Otl V_xs T_a) (tptp.c_List_Olist_OCons (tptp.c_List_Ohd V_xs T_a) (tptp.c_List_Olist_ONil T_a) T_a) T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a152 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Odrop V_n V_xs T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)))))
% 0.53/0.91 (assume a153 (forall ((V_n $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Omap V_f V_xs T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Otake V_n V_xs T_b) T_b T_a))))
% 0.53/0.91 (assume a154 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremdups (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (tptp.c_List_Ofilter V_P (tptp.c_List_Oremdups V_xs T_a) T_a))))
% 0.53/0.91 (assume a155 (forall ((V_nat_H $$unsorted)) (not (= tptp.c_Message_Oagent_OServer (tptp.c_Message_Oagent_OFriend V_nat_H)))))
% 0.53/0.91 (assume a156 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Otake V_n V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))))
% 0.53/0.91 (assume a157 (forall ((V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_Fun_Oinj__on V_f (tptp.c_List_Oset V_xs T_b) T_b T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Omap V_f V_xs T_b T_a) T_a)))))
% 0.53/0.91 (assume a158 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Ofilter V_P V_ys T_a))) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 0.53/0.91 (assume a159 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= V_xs V_ys) (not (tptp.c_List_Olist__all2 (tptp.c_fequal T_a) V_xs V_ys T_a T_a)))))
% 0.53/0.91 (assume a160 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldl V_f V_a (tptp.c_List_Olist_OCons V_x V_xs T_b) T_a T_b) (tptp.c_List_Ofoldl V_f (tptp.hAPP (tptp.hAPP V_f V_a) V_x) V_xs T_a T_b))))
% 0.53/0.91 (assume a161 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (= (tptp.c_List_Oset V_xs T_a) (tptp.c_List_Oset V_ys T_a))) (not (tptp.c_List_Odistinct V_ys T_a)) (not (tptp.c_List_Olinorder__class_Osorted V_ys T_a)) (not (tptp.c_List_Odistinct V_xs T_a)) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)) (= V_xs V_ys))))
% 0.53/0.91 (assume a162 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_zs $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_y V_zs T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_OCons V_y V_zs T_a) T_a) T_a)))))
% 0.53/0.91 (assume a163 (forall ((V_P $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_b $$unsorted) (V_d $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_a V_c T_a) (tptp.c_List_Oappend V_b V_d T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_c V_d T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_a V_b T_a T_b)))))
% 0.53/0.91 (assume a164 (forall ((V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (V_P $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xa (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_zs (tptp.tc_List_Olist T_b)))) (not (= (tptp.c_Nat_Osize__class_Osize V_x (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_x V_xa T_a) (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xa V_zs T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_x V_ys T_a T_b)))))
% 0.53/0.91 (assume a165 (forall ((V_xa $$unsorted) (T_b $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (V_P $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xa (tptp.tc_List_Olist T_b)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_a)))) (not (= (tptp.c_Nat_Osize__class_Osize V_x (tptp.tc_List_Olist T_b)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_x V_xa T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_ys V_xa T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_xs V_x T_a T_b)))))
% 0.53/0.91 (assume a166 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a))))
% 0.53/0.91 (assume a167 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs T_a) V_ys T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))
% 0.53/0.91 (assume a168 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Ohd (tptp.c_List_OdropWhile V_P V_xs T_a) T_a)))) (= (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a169 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Orotate1 V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a170 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Orotate1 V_xs T_a) T_a)))))
% 0.53/0.91 (assume a171 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))
% 0.53/0.91 (assume a172 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a173 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Olist_OCons V_x V_xa T_b) T_b T_a) (tptp.c_List_Olist_OCons (tptp.hAPP V_f V_x) (tptp.c_List_Omap V_f V_xa T_b T_a) T_a))))
% 0.53/0.91 (assume a174 (forall ((V_f $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons (tptp.hAPP V_f V_xa) (tptp.c_List_Omap V_f V_xb T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Olist_OCons V_xa V_xb T_b) T_b T_a))))
% 0.53/0.91 (assume a175 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Olist_OCons V_x V_xs T_b) T_b T_a) (tptp.c_List_Olist_OCons (tptp.hAPP V_f V_x) (tptp.c_List_Omap V_f V_xs T_b T_a) T_a))))
% 0.53/0.91 (assume a176 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_a $$unsorted) (V_list $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_Olist__case V_f1 V_f2 (tptp.c_List_Olist_OCons V_a V_list T_b) T_a T_b) (tptp.hAPP (tptp.hAPP V_f2 V_a) V_list))))
% 0.53/0.91 (assume a177 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_xs)))
% 0.53/0.91 (assume a178 (forall ((V_nat_H $$unsorted)) (not (= (tptp.c_Message_Oagent_OFriend V_nat_H) tptp.c_Message_Oagent_OServer))))
% 0.53/0.91 (assume a179 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_y)) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b)))))
% 0.53/0.91 (assume a180 (forall ((V_x $$unsorted) (V_xa $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xa V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xa T_a) V_zs T_a))))
% 0.53/0.91 (assume a181 (forall ((V_x $$unsorted) (V_xs1 $$unsorted) (V_zs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend V_xs1 V_zs T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons V_x V_xs1 T_a) V_zs T_a))))
% 0.53/0.91 (assume a182 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Olast (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olast V_xs T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a183 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 tptp.c_Message_Oagent_OServer T_a) V_f1)))
% 0.53/0.91 (assume a184 (forall ((V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Omap V_f V_xs T_b T_a) T_a) (not (tptp.c_Fun_Oinj__on V_f (tptp.c_List_Oset V_xs T_b) T_b T_a)) (not (tptp.c_List_Odistinct V_xs T_b)))))
% 0.53/0.91 (assume a185 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Otake V_n V_xs T_a) (tptp.c_List_Odrop V_n V_xs T_a) T_a) V_xs)))
% 0.53/0.91 (assume a186 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted V_xs T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.53/0.91 (assume a187 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Odrop V_i V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a188 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Olist__all V_P V_xs T_a) (not (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.53/0.91 (assume a189 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_xs T_a) V_xs)) (tptp.c_List_Odistinct V_xs T_a))))
% 0.53/0.91 (assume a190 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremdups V_xs T_a) V_xs) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a191 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.53/0.91 (assume a192 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ohd (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Ohd V_xs T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a193 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_us T_a) (tptp.c_List_Oappend V_ys V_vs T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_us V_vs T_a T_b)) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))))
% 0.53/0.91 (assume a194 (forall ((V_x $$unsorted) (V_t $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_t T_a) V_t))))
% 0.53/0.91 (assume a195 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (not (= V_xs (tptp.c_List_Olist_OCons V_x V_xs T_a)))))
% 0.53/0.91 (assume a196 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Orotate1 (tptp.c_List_Olist_OCons V_x V_xs T_b) T_b) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_b) T_b) T_b))))
% 0.53/0.91 (assume a197 (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Olist__update V_xs V_i V_x T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 0.53/0.91 (assume a198 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a))))
% 0.53/0.91 (assume a199 (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_k $$unsorted) (V_y $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Olist__update V_xs V_k V_y T_b) T_b T_a) (tptp.c_List_Olist__update (tptp.c_List_Omap V_f V_xs T_b T_a) V_k (tptp.hAPP V_f V_y) T_a))))
% 0.53/0.91 (assume a200 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_nat $$unsorted) (T_a $$unsorted)) (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 (tptp.c_Message_Oagent_OFriend V_nat) T_a) (tptp.hAPP V_f2 V_nat))))
% 0.53/0.91 (assume a201 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__all V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (not (tptp.c_List_Olist__all V_P V_ys T_a)) (not (tptp.c_List_Olist__all V_P V_xs T_a)))))
% 0.53/0.91 (assume a202 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))))
% 0.53/0.91 (assume a203 (forall ((V_i $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Otake V_i V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a204 (forall ((V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oreplicate V_i V_x T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oreplicate V_i V_x T_a) T_a))))
% 0.53/0.91 (assume a205 (forall ((V_f $$unsorted) (V_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldl V_f V_a (tptp.c_List_Oappend V_xs V_ys T_b) T_a T_b) (tptp.c_List_Ofoldl V_f (tptp.c_List_Ofoldl V_f V_a V_xs T_a T_b) V_ys T_a T_b))))
% 0.53/0.91 (assume a206 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.53/0.91 (assume a207 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofilter V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Ofilter V_P V_xs T_a) (tptp.c_List_Ofilter V_P V_ys T_a) T_a))))
% 0.53/0.91 (assume a208 (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Message_Oagent_OFriend V_nat) (tptp.c_Message_Oagent_OFriend V_nat_H))) (= V_nat V_nat_H))))
% 0.53/0.91 (assume a209 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a210 (forall ((V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Omap V_f V_xs T_b T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_b)))))
% 0.53/0.91 (assume a211 (forall ((V_P $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_b) T_a T_b)))
% 0.53/0.91 (assume a212 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (= V_xs (tptp.c_List_Olist_ONil T_a)) (not (tptp.c_List_Onull V_xs T_a)))))
% 0.53/0.91 (assume a213 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oremdups (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.53/0.91 (assume a214 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= V_ys (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a215 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_ys)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a216 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= V_xs (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a217 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) V_xs)) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a218 (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_x T_a) (tptp.c_List_Olist_ONil T_a))) (= V_x (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a219 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orotate V_n V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a220 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_P $$unsorted) (T_b $$unsorted)) (or (= V_xs (tptp.c_List_Olist_ONil T_a)) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.c_List_Olist_ONil T_b) T_a T_b)))))
% 0.53/0.91 (assume a221 (forall ((V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (T_a $$unsorted)) (or (= V_ys (tptp.c_List_Olist_ONil T_b)) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_ONil T_a) V_ys T_a T_b)))))
% 0.53/0.91 (assume a222 (forall ((T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Olist_ONil T_a) T_a)))
% 0.53/0.91 (assume a223 (forall ((T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))
% 0.53/0.91 (assume a224 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a225 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a226 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a227 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend V_xs V_ys T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a228 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Ofilter V_P V_xs T_a) T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.53/0.91 (assume a229 (forall ((V_A $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Olistsp V_A V_xs T_a) (not (tptp.c_List_Olistsp V_A (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a230 (forall ((V_A $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Olistsp V_A V_ys T_a) (not (tptp.c_List_Olistsp V_A (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a231 (forall ((V_m $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_n $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oreplicate V_m V_x T_a) (tptp.c_List_Oreplicate V_n V_y T_a))) (= V_m V_n))))
% 0.53/0.91 (assume a232 (forall ((V_ys $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_ys V_xs T_a) (tptp.c_List_Oappend V_zs V_xs T_a))) (= V_ys V_zs))))
% 0.53/0.91 (assume a233 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs V_ys T_a) (tptp.c_List_Oappend V_xs V_zs T_a))) (= V_ys V_zs))))
% 0.53/0.91 (assume a234 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Otake V_n V_xs T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)))))
% 0.53/0.91 (assume a235 (forall ((V_P $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Ofilter V_P V_ys T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 0.53/0.91 (assume a236 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b)))))
% 0.53/0.91 (assume a237 (forall ((V_n $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate V_n (tptp.c_List_Omap V_f V_xs T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Orotate V_n V_xs T_b) T_b T_a))))
% 0.53/0.91 (assume a238 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a239 (forall ((V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Odistinct V_ys T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a240 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))) (= (tptp.c_List_Oremdups V_xs T_a) V_xs))))
% 0.53/0.91 (assume a241 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Oremdups V_xs T_a) V_xs)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Oremdups V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a))))))
% 0.53/0.91 (assume a242 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= V_xs (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_List_Oappend V_xs V_ys T_a) T_a))))
% 0.53/0.91 (assume a243 (forall ((V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Omap V_f V_xs T_b T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_b)))))
% 0.53/0.91 (assume a244 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_OdropWhile V_P V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a245 (forall ((V_f $$unsorted) (V_n $$unsorted) (V_x $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Oreplicate V_n V_x T_b) T_b T_a) (tptp.c_List_Oreplicate V_n (tptp.hAPP V_f V_x) T_a))))
% 0.53/0.91 (assume a246 (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldr V_f (tptp.c_List_Oappend V_xs V_ys T_b) V_a T_b T_a) (tptp.c_List_Ofoldr V_f V_xs (tptp.c_List_Ofoldr V_f V_ys V_a T_b T_a) T_b T_a))))
% 0.53/0.91 (assume a247 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.53/0.91 (assume a248 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_OdropWhile V_P V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (not (tptp.hBOOL (tptp.hAPP V_P V_y))))))
% 0.53/0.91 (assume a249 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_y))))))
% 0.53/0.91 (assume a250 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_xa V_xb T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_xb T_a T_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_xa))))))
% 0.53/0.91 (assume a251 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_OCons V_y V_ys T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xa V_ys T_a T_b)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_P V_x) V_y))))))
% 0.53/0.91 (assume a252 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Olist__ex V_P V_xs T_a)))))
% 0.53/0.91 (assume a253 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_x $$unsorted)) (or (tptp.c_List_Olist__ex V_P V_xs T_a) (tptp.hBOOL (tptp.hAPP V_P V_x)) (not (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a)))))
% 0.53/0.91 (assume a254 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted)) (or (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b))) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))))
% 0.53/0.91 (assume a255 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_List_Oreplicate V_n V_x T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.53/0.91 (assume a256 (forall ((V_r $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Olistrelp V_r (tptp.c_List_Olist_OCons V_x V_xs T_a) (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a) (not (tptp.c_List_Olistrelp V_r V_xs V_ys T_a)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP V_r V_x) V_y))))))
% 0.53/0.91 (assume a257 (forall ((V_x $$unsorted) (V_y $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_OCons V_y V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Oremove1 V_x V_xs T_a) T_a)) (= V_x V_y))))
% 0.53/0.91 (assume a258 (forall ((V_xs $$unsorted) (V_I $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Osublist V_xs V_I T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a259 (forall ((V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.c_List_Omap V_f V_xs T_b T_a) (tptp.c_List_Omap V_f V_ys T_b T_a))) (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_b)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b))))))
% 0.53/0.91 (assume a260 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_m $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (= (tptp.c_Map_Omap__upds V_m (tptp.c_List_Oappend V_xs V_zs T_a) V_ys T_a T_b) (tptp.c_Map_Omap__upds V_m V_xs V_ys T_a T_b)))))
% 0.53/0.91 (assume a261 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_m $$unsorted) (V_zs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (= (tptp.c_Map_Omap__upds V_m V_xs (tptp.c_List_Oappend V_ys V_zs T_b) T_a T_b) (tptp.c_Map_Omap__upds V_m V_xs V_ys T_a T_b)))))
% 0.53/0.91 (assume a262 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (or (not (= V_xs (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_zs T_a))) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_zs T_a) T_a) V_zs))))
% 0.53/0.91 (assume a263 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Oremove1 V_x V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a264 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_msg V_msg_H))))
% 0.53/0.91 (assume a265 (forall ((V_agent $$unsorted) (V_msg $$unsorted) (V_agent_H $$unsorted) (V_msg_H $$unsorted)) (or (not (= (tptp.c_Event_Oevent_OGets V_agent V_msg) (tptp.c_Event_Oevent_OGets V_agent_H V_msg_H))) (= V_agent V_agent_H))))
% 0.53/0.91 (assume a266 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_us T_a) (tptp.c_List_Oappend V_ys V_vs T_b) T_a T_b)))))
% 0.53/0.91 (assume a267 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (V_P $$unsorted) (V_us $$unsorted) (V_vs $$unsorted)) (or (not (= (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_ys (tptp.tc_List_Olist T_b)))) (tptp.c_List_Olist__all2 V_P V_us V_vs T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.c_List_Oappend V_xs V_us T_a) (tptp.c_List_Oappend V_ys V_vs T_b) T_a T_b)))))
% 0.53/0.91 (assume a268 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_OdropWhile V_P V_xs T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.53/0.91 (assume a269 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Orotate V_n V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 0.53/0.91 (assume a270 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Orotate1 V_xs T_a) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 0.53/0.91 (assume a271 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Olast (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (tptp.c_List_Olast V_ys T_a)) (= V_ys (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a272 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 0.53/0.91 (assume a273 (forall ((V_f $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Oappend V_xs V_ys T_b) T_b T_a) (tptp.c_List_Oappend (tptp.c_List_Omap V_f V_xs T_b T_a) (tptp.c_List_Omap V_f V_ys T_b T_a) T_a))))
% 0.53/0.91 (assume a274 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 tptp.c_Message_Oagent_OServer tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f1)))))
% 0.53/0.91 (assume a275 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_k $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oreplicate V_n V_x T_a) (tptp.c_List_Oreplicate V_k V_x T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oreplicate V_k V_x T_a) (tptp.c_List_Oreplicate V_n V_x T_a) T_a))))
% 0.53/0.91 (assume a276 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_as $$unsorted) (T_a $$unsorted) (V_bs $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.c_List_Odrop V_n V_as T_a) (tptp.c_List_Odrop V_n V_bs T_b) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_as V_bs T_a T_b)))))
% 0.53/0.91 (assume a277 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Orotate1 V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 0.53/0.91 (assume a278 (forall ((V_x $$unsorted) (V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Ofilter V_P V_xs T_a) T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 0.53/0.91 (assume a279 (forall ((V_P $$unsorted) (V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Oreplicate V_n V_x T_a) T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 0.53/0.91 (assume a280 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_a $$unsorted) (V_list $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_Olist__rec V_f1 V_f2 (tptp.c_List_Olist_OCons V_a V_list T_b) T_a T_b) (tptp.hAPP (tptp.hAPP (tptp.hAPP V_f2 V_a) V_list) (tptp.c_List_Olist_Olist__rec V_f1 V_f2 V_list T_a T_b)))))
% 0.53/0.91 (assume a281 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Orotate V_n V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 0.53/0.91 (assume a282 (forall ((V_xs $$unsorted) (T_b $$unsorted) (V_f $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_b) (not (tptp.c_List_Odistinct (tptp.c_List_Omap V_f V_xs T_b T_a) T_a)))))
% 0.53/0.91 (assume a283 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) V_x)))
% 0.53/0.91 (assume a284 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Olast V_xs T_a))))
% 0.53/0.91 (assume a285 (forall ((V_xs $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.c_List_Orotate V_n V_xs T_a) T_a)))))
% 0.53/0.91 (assume a286 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct (tptp.c_List_Orotate V_n V_xs T_a) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a287 (forall ((V_A $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olistsp V_A (tptp.c_List_Oappend V_xs V_ys T_a) T_a) (not (tptp.c_List_Olistsp V_A V_ys T_a)) (not (tptp.c_List_Olistsp V_A V_xs T_a)))))
% 0.53/0.91 (assume a288 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.c_List_Oreplicate V_n V_x T_a) (tptp.tc_List_Olist T_a)) V_n)))
% 0.53/0.91 (assume a289 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_nat $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 (tptp.c_Message_Oagent_OFriend V_nat) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 V_nat))))))
% 0.53/0.91 (assume a290 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_xa $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 (tptp.c_Message_Oagent_OFriend V_xa) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP V_f2 V_xa))))))
% 0.53/0.91 (assume a291 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (not (tptp.c_List_Onull (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a))))
% 0.53/0.91 (assume a292 (forall ((V_f $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldr V_f (tptp.c_List_Olist_OCons V_x V_xs T_b) V_a T_b T_a) (tptp.hAPP (tptp.hAPP V_f V_x) (tptp.c_List_Ofoldr V_f V_xs V_a T_b T_a)))))
% 0.53/0.91 (assume a293 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olast (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) T_a) V_x)))
% 0.53/0.91 (assume a294 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (V_nat $$unsorted) (T_a $$unsorted)) (= (tptp.c_Message_Oagent_Oagent__rec V_f1 V_f2 V_f3 (tptp.c_Message_Oagent_OFriend V_nat) T_a) (tptp.hAPP V_f2 V_nat))))
% 0.53/0.91 (assume a295 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x V_ys T_a) T_a) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)) V_y T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_y V_ys T_a) T_a))))
% 0.53/0.91 (assume a296 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a))))
% 0.53/0.91 (assume a297 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (tptp.c_List_Odistinct (tptp.c_List_Oremdups V_xs T_a) T_a)))
% 0.53/0.91 (assume a298 (forall ((V_ys_092_060_094isub_0621 $$unsorted) (T_a $$unsorted) (V_xs_092_060_094isub_0621 $$unsorted) (V_ys_092_060_094isub_0622 $$unsorted)) (or (not (= (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_xs_092_060_094isub_0621 T_a) (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a) T_a) V_ys_092_060_094isub_0622)) (not (= (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_ys_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_xs_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0621)) (not (= V_xs_092_060_094isub_0621 (tptp.c_List_Otake (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a))) (= (tptp.c_List_Oappend V_xs_092_060_094isub_0621 (tptp.c_List_Oappend (tptp.c_List_Odrop (tptp.c_Nat_Osize__class_Osize V_xs_092_060_094isub_0621 (tptp.tc_List_Olist T_a)) V_ys_092_060_094isub_0621 T_a) V_ys_092_060_094isub_0622 T_a) T_a) (tptp.c_List_Oappend V_ys_092_060_094isub_0621 V_ys_092_060_094isub_0622 T_a)))))
% 0.53/0.91 (assume a299 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_a V_a_H))))
% 0.53/0.91 (assume a300 (forall ((V_a $$unsorted) (V_list $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted) (V_list_H $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_a V_list T_a) (tptp.c_List_Olist_OCons V_a_H V_list_H T_a))) (= V_list V_list_H))))
% 0.53/0.91 (assume a301 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted V_xs T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a302 (forall ((T_a $$unsorted) (V_ys $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted V_ys T_a) (not (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a303 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (not (tptp.c_List_Olist__all V_P V_xs T_a)) (not (tptp.hBOOL (tptp.hAPP V_P V_x))))))
% 0.53/0.91 (assume a304 (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_i_H $$unsorted) (V_x_H $$unsorted)) (or (= (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_i_H V_x_H T_a) (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i_H V_x_H T_a) V_i V_x T_a)) (= V_i V_i_H))))
% 0.53/0.91 (assume a305 (forall ((T_a $$unsorted) (V_l $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremdups V_l T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted V_l T_a)))))
% 0.53/0.91 (assume a306 (forall ((V_n $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oreplicate V_n V_x T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Oappend (tptp.c_List_Oreplicate V_n V_x T_a) V_xs T_a) T_a))))
% 0.53/0.91 (assume a307 (forall ((V_n $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Omap V_f V_xs T_b T_a) T_a) (tptp.c_List_Omap V_f (tptp.c_List_Odrop V_n V_xs T_b) T_b T_a))))
% 0.53/0.91 (assume a308 (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Ohd (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a) T_a) (tptp.c_List_Ohd V_ys T_a))))
% 0.53/0.91 (assume a309 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Message_Oagent_Oagent__rec V_f1 V_f2 V_f3 tptp.c_Message_Oagent_OServer T_a) V_f1)))
% 0.53/0.91 (assume a310 (forall ((V_P $$unsorted) (V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.hBOOL (tptp.hAPP V_P V_x)))))
% 0.53/0.91 (assume a311 (forall ((V_x $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ohd (tptp.c_List_Olist_OCons V_x V_xs T_a) T_a) V_x)))
% 0.53/0.91 (assume a312 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.c_List_Olist__all2 (tptp.c_fequal T_a) V_x V_x T_a T_a)))
% 0.53/0.91 (assume a313 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_xs V_ys))))
% 0.53/0.91 (assume a314 (forall ((V_xs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a) (tptp.c_List_Oappend V_ys (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a))) (= V_x V_y))))
% 0.53/0.91 (assume a315 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Olist__all V_P V_xs T_a) (not (tptp.c_List_Olist__all V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a316 (forall ((V_P $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Olist__all V_P V_ys T_a) (not (tptp.c_List_Olist__all V_P (tptp.c_List_Oappend V_xs V_ys T_a) T_a)))))
% 0.53/0.91 (assume a317 (forall ((V_n $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate1 (tptp.c_List_Orotate V_n V_xs T_a) T_a) (tptp.c_List_Orotate V_n (tptp.c_List_Orotate1 V_xs T_a) T_a))))
% 0.53/0.91 (assume a318 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_a $$unsorted) (V_list $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_Olist__case V_f1 V_f2 (tptp.c_List_Olist_OCons V_a V_list tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP V_f2 V_a) V_list))))))
% 0.53/0.91 (assume a319 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_xa $$unsorted) (V_xb $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_Olist__case V_f1 V_f2 (tptp.c_List_Olist_OCons V_xa V_xb tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P (tptp.hAPP (tptp.hAPP V_f2 V_xa) V_xb))))))
% 0.53/0.91 (assume a320 (forall ((T_a $$unsorted) (V_P $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_OdropWhile V_P V_xs T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)))))
% 0.53/0.91 (assume a321 (forall ((V_xs $$unsorted) (V_i $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist__update V_xs V_i V_x T_a) V_i V_y T_a) (tptp.c_List_Olist__update V_xs V_i V_y T_a))))
% 0.53/0.91 (assume a322 (forall ((V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (V_zs $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_ys T_a) V_zs T_a) (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_ys V_zs T_a) T_a))))
% 0.53/0.91 (assume a323 (forall ((V_xs $$unsorted) (V_xs1 $$unsorted) (V_us $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_xs1 V_us T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_xs1 T_a) V_us T_a))))
% 0.53/0.91 (assume a324 (forall ((V_zs $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Oappend V_zs V_x T_a) V_ys T_a) (tptp.c_List_Oappend V_zs (tptp.c_List_Oappend V_x V_ys T_a) T_a))))
% 0.53/0.91 (assume a325 (forall ((V_xs $$unsorted) (V_x $$unsorted) (V_ts $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Oappend V_x V_ts T_a) T_a) (tptp.c_List_Oappend (tptp.c_List_Oappend V_xs V_x T_a) V_ts T_a))))
% 0.53/0.91 (assume a326 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oset (tptp.c_List_Oremdups V_xs T_a) T_a) (tptp.c_List_Oset V_xs T_a))))
% 0.53/0.91 (assume a327 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Oremove1 V_a V_xs T_a) T_a) (not (tptp.c_List_Olinorder__class_Osorted V_xs T_a)))))
% 0.53/0.91 (assume a328 (forall ((V_f $$unsorted) (V_a $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldl V_f V_a (tptp.c_List_Olist_ONil T_b) T_a T_b) V_a)))
% 0.53/0.91 (assume a329 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xlistsum__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a330 (forall ((T_a $$unsorted)) (= (tptp.c_List_Oremdups (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a331 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Odrop V_n (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a332 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Omap V_f V_xs T_b T_a))) (= V_xs (tptp.c_List_Olist_ONil T_b)))))
% 0.53/0.91 (assume a333 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__XremoveAll__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a334 (forall ((T_a $$unsorted) (V_bs $$unsorted)) (= (tptp.c_List_Olist__inter (tptp.c_List_Olist_ONil T_a) V_bs T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a335 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_OdropWhile V_P (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a336 (forall ((V_ys $$unsorted) (T_a $$unsorted)) (= V_ys (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a))))
% 0.53/0.91 (assume a337 (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_ys T_a) V_ys)))
% 0.53/0.91 (assume a338 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.53/0.91 (assume a339 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= V_x (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) V_x T_a))))
% 0.53/0.91 (assume a340 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oappend V_xs (tptp.c_List_Olist_ONil T_a) T_a) V_xs)))
% 0.53/0.91 (assume a341 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Orotate1 V_xs T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a342 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xlast__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a343 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Otake V_n (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a344 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__XtakeWhile__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a345 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_List_Olistsp V_A (tptp.c_List_Olist_ONil T_a) T_a)))
% 0.53/0.91 (assume a346 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xlist__update__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a347 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xfoldl__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a348 (forall ((V_P $$unsorted) (T_a $$unsorted)) (tptp.c_List_Olist__all V_P (tptp.c_List_Olist_ONil T_a) T_a)))
% 0.53/0.91 (assume a349 (forall ((T_a $$unsorted)) (= (tptp.c_List_Orotate1 (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a350 (forall ((V_P $$unsorted) (T_a $$unsorted)) (not (tptp.c_List_Olist__ex V_P (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.53/0.91 (assume a351 (forall ((T_a $$unsorted)) (tptp.c_List_Onull (tptp.c_List_Olist_ONil T_a) T_a)))
% 0.53/0.91 (assume a352 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_Olist__case V_f1 V_f2 (tptp.c_List_Olist_ONil tptp.t_b) tptp.t_a tptp.t_b)))) (tptp.hBOOL (tptp.hAPP V_P V_f1)))))
% 0.53/0.91 (assume a353 (forall ((V_f $$unsorted) (T_b $$unsorted) (V_a $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofoldr V_f (tptp.c_List_Olist_ONil T_b) V_a T_b T_a) V_a)))
% 0.53/0.91 (assume a354 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xzip__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a355 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Omap V_f (tptp.c_List_Olist_ONil T_b) T_b T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a356 (forall ((T_a $$unsorted) (V_A $$unsorted)) (= (tptp.c_List_Osublist (tptp.c_List_Olist_ONil T_a) V_A T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a357 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xlistset__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a358 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_Olist__rec V_f1 V_f2 (tptp.c_List_Olist_ONil T_b) T_a T_b) V_f1)))
% 0.53/0.91 (assume a359 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__XdropWhile__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a360 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xtake__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a361 (forall ((T_a $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_List_Olinorder__class_Osorted (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.53/0.91 (assume a362 (forall ((V_f $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofiltermap V_f (tptp.c_List_Olist_ONil T_b) T_b T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a363 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oremdups V_x T_a))) (= V_x (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a364 (forall ((V_P $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Ofilter V_P (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a365 (forall ((T_a $$unsorted) (V_k $$unsorted) (V_x $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist_ONil T_a) V_k V_x T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a366 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_y $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist_ONil T_a) V_i V_y T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a367 (forall ((T_a $$unsorted) (V_i $$unsorted) (V_v $$unsorted)) (= (tptp.c_List_Olist__update (tptp.c_List_Olist_ONil T_a) V_i V_v T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a368 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xconcat__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a369 (forall ((V_x $$unsorted) (V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_x V_xa T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a370 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_List_Olist_OCons V_a_H V_list_H T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a371 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Oremove1 V_x (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a372 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xdistinct__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a373 (forall ((V_m $$unsorted) (V_as $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_Map_Omap__upds V_m V_as (tptp.c_List_Olist_ONil T_b) T_a T_b) V_m)))
% 0.53/0.91 (assume a374 (forall ((V_m $$unsorted) (T_a $$unsorted) (V_bs $$unsorted) (T_b $$unsorted)) (= (tptp.c_Map_Omap__upds V_m (tptp.c_List_Olist_ONil T_a) V_bs T_a T_b) V_m)))
% 0.53/0.91 (assume a375 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xremove1__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a376 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (T_b $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_Olist__case V_f1 V_f2 (tptp.c_List_Olist_ONil T_b) T_a T_b) V_f1)))
% 0.53/0.91 (assume a377 (forall ((V_n $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Orotate V_n (tptp.c_List_Olist_ONil T_a) T_a) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a378 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xlist__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a379 (forall ((T_a $$unsorted) (V_f $$unsorted) (T_b $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Omap V_f (tptp.c_List_Olist_ONil T_b) T_b T_a))))
% 0.53/0.91 (assume a380 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Oappend (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.53/0.91 (assume a381 (forall ((V_r $$unsorted) (T_a $$unsorted)) (tptp.c_List_Olistrelp V_r (tptp.c_List_Olist_ONil T_a) (tptp.c_List_Olist_ONil T_a) T_a)))
% 0.53/0.91 (assume a382 (forall ((V_P $$unsorted) (V_list $$unsorted)) (or (tptp.hBOOL (tptp.hAPP V_P V_list)) (tptp.hBOOL (tptp.hAPP V_P (tptp.v_sko__List__Xmap__Xinduct__2 V_P))) (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_List_Olist_ONil tptp.t_a)))))))
% 0.53/0.91 (assume a383 (forall ((V_xs $$unsorted) (V_k $$unsorted) (V_x $$unsorted) (T_a $$unsorted)) (or (not (= (tptp.c_List_Olist__update V_xs V_k V_x T_a) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a384 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (= (tptp.c_List_Ohd (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (tptp.c_List_Olast V_xs T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a385 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (= (tptp.c_List_Olast (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (tptp.c_List_Ohd V_xs T_a)) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a386 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_xs $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_OCons V_x V_xs T_a)) (tptp.c_List_Oappend (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) T_a))))
% 0.53/0.91 (assume a387 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_y $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.c_List_Olist_OCons V_y V_ys T_a))) (= V_xs (tptp.c_List_Oappend (tptp.hAPP (tptp.c_List_Orev T_a) V_ys) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a)))))
% 0.53/0.91 (assume a388 (forall ((T_a $$unsorted) (V_ys $$unsorted) (V_y $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Oappend (tptp.hAPP (tptp.c_List_Orev T_a) V_ys) (tptp.c_List_Olist_OCons V_y (tptp.c_List_Olist_ONil T_a) T_a) T_a)) (tptp.c_List_Olist_OCons V_y V_ys T_a))))
% 0.53/0.91 (assume a389 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 tptp.c_Message_Oagent_OSpy T_a) V_f3)))
% 0.53/0.91 (assume a390 (forall ((V_nat $$unsorted)) (not (= (tptp.c_Message_Oagent_OFriend V_nat) tptp.c_Message_Oagent_OSpy))))
% 0.53/0.91 (assume a391 (forall ((V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted) (T_a $$unsorted)) (= (tptp.c_Message_Oagent_Oagent__rec V_f1 V_f2 V_f3 tptp.c_Message_Oagent_OSpy T_a) V_f3)))
% 0.53/0.91 (assume a392 (not (= tptp.c_Message_Oagent_OServer tptp.c_Message_Oagent_OSpy)))
% 0.53/0.91 (assume a393 (forall ((V_P $$unsorted) (V_f1 $$unsorted) (V_f2 $$unsorted) (V_f3 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP V_P (tptp.c_Message_Oagent_Oagent__case V_f1 V_f2 V_f3 tptp.c_Message_Oagent_OSpy tptp.t_a)))) (tptp.hBOOL (tptp.hAPP V_P V_f3)))))
% 0.53/0.91 (assume a394 (forall ((V_nat $$unsorted)) (not (= tptp.c_Message_Oagent_OSpy (tptp.c_Message_Oagent_OFriend V_nat)))))
% 0.53/0.91 (assume a395 (not (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OServer)))
% 0.53/0.91 (assume a396 (forall ((V_A $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) V_evs tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))))
% 0.53/0.91 (assume a397 (forall ((T_a $$unsorted) (V_P $$unsorted) (V_xs $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Ofilter V_P V_xs T_a)) (tptp.c_List_Ofilter V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a))))
% 0.53/0.91 (assume a398 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (= (tptp.c_Nat_Osize__class_Osize (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.tc_List_Olist T_a)) (tptp.c_Nat_Osize__class_Osize V_xs (tptp.tc_List_Olist T_a)))))
% 0.53/0.91 (assume a399 (forall ((V_P $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Olist__all V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (not (tptp.c_List_Olist__all V_P V_xs T_a)))))
% 0.53/0.91 (assume a400 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__all V_P V_xs T_a) (not (tptp.c_List_Olist__all V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a)))))
% 0.53/0.91 (assume a401 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_List_Olistsum (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (tptp.c_List_Olistsum V_xs T_a)))))
% 0.53/0.91 (assume a402 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (= (tptp.c_List_Oset (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (tptp.c_List_Oset V_xs T_a))))
% 0.53/0.91 (assume a403 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Oreplicate V_n V_x T_a)) (tptp.c_List_Oreplicate V_n V_x T_a))))
% 0.53/0.91 (assume a404 (forall ((V_P $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (V_ys $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.hAPP (tptp.c_List_Orev T_b) V_ys) T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b)))))
% 0.53/0.91 (assume a405 (forall ((V_P $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_a $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.hAPP (tptp.c_List_Orev T_b) V_ys) T_a T_b)))))
% 0.53/0.91 (assume a406 (forall ((T_a $$unsorted) (V_f $$unsorted) (V_xs $$unsorted) (T_b $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Omap V_f V_xs T_b T_a)) (tptp.c_List_Omap V_f (tptp.hAPP (tptp.c_List_Orev T_b) V_xs) T_b T_a))))
% 0.53/0.91 (assume a407 (forall ((T_a $$unsorted) (V_A $$unsorted)) (tptp.c_Fun_Oinj__on (tptp.c_List_Orev T_a) V_A (tptp.tc_List_Olist T_a) (tptp.tc_List_Olist T_a))))
% 0.53/0.91 (assume a408 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (tptp.c_List_Odistinct (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a) (not (tptp.c_List_Odistinct V_xs T_a)))))
% 0.53/0.91 (assume a409 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Odistinct V_xs T_a) (not (tptp.c_List_Odistinct (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a)))))
% 0.53/0.91 (assume a410 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Oappend V_xs V_ys T_a)) (tptp.c_List_Oappend (tptp.hAPP (tptp.c_List_Orev T_a) V_ys) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) T_a))))
% 0.53/0.91 (assume a411 (forall ((V_P $$unsorted) (T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted) (T_b $$unsorted)) (or (tptp.c_List_Olist__all2 V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) V_ys T_a T_b) (not (tptp.c_List_Olist__all2 V_P V_xs (tptp.hAPP (tptp.c_List_Orev T_b) V_ys) T_a T_b)))))
% 0.53/0.91 (assume a412 (forall ((V_P $$unsorted) (V_xs $$unsorted) (T_b $$unsorted) (V_ys $$unsorted) (T_a $$unsorted)) (or (tptp.c_List_Olist__all2 V_P V_xs (tptp.hAPP (tptp.c_List_Orev T_b) V_ys) T_a T_b) (not (tptp.c_List_Olist__all2 V_P (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) V_ys T_a T_b)))))
% 0.53/0.91 (assume a413 (forall ((V_evs $$unsorted) (V_A $$unsorted) (V_X $$unsorted)) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Oappend V_evs (tptp.c_List_Olist_OCons (tptp.c_Event_Oevent_OGets V_A V_X) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs))))
% 0.53/0.91 (assume a414 (tptp.c_NS__Shared__Mirabelle_Ons__sharedp (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))
% 0.53/0.91 (assume a415 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_x $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))) (= V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a)))))
% 0.53/0.91 (assume a416 (forall ((V_x $$unsorted) (T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs))) (= V_xs (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a)))))
% 0.53/0.91 (assume a417 (forall ((T_a $$unsorted) (V_x $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a)) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a))))
% 0.53/0.91 (assume a418 (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_OCons V_x (tptp.c_List_Olist_ONil T_a) T_a)))))
% 0.53/0.91 (assume a419 (forall ((V_A $$unsorted)) (= (tptp.c_Event_Oknows V_A (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_OinitState V_A))))
% 0.53/0.91 (assume a420 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a421 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a422 (forall ((T_a $$unsorted) (V_xs $$unsorted) (V_ys $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.hAPP (tptp.c_List_Orev T_a) V_ys))) (= V_xs V_ys))))
% 0.53/0.91 (assume a423 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)) V_xs)))
% 0.53/0.91 (assume a424 (forall ((T_a $$unsorted) (V_ys $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_ys)) V_ys)))
% 0.53/0.91 (assume a425 (forall ((V_xs $$unsorted) (T_a $$unsorted)) (= V_xs (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.hAPP (tptp.c_List_Orev T_a) V_xs)))))
% 0.53/0.91 (assume a426 (forall ((T_a $$unsorted) (V_xs $$unsorted)) (or (not (= (tptp.hAPP (tptp.c_List_Orev T_a) V_xs) (tptp.c_List_Olist_ONil T_a))) (= V_xs (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (assume a427 (forall ((T_a $$unsorted)) (= (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)) (tptp.c_List_Olist_ONil T_a))))
% 0.53/0.91 (assume a428 (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))))
% 0.53/0.91 (assume a429 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Opreorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Opreorder T_1)))))
% 0.53/0.91 (assume a430 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_Orderings_Oorder (tptp.tc_fun T_2 T_1)) (not (tptp.class_Orderings_Oorder T_1)))))
% 0.53/0.91 (assume a431 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (or (tptp.class_HOL_Oord (tptp.tc_fun T_2 T_1)) (not (tptp.class_HOL_Oord T_1)))))
% 0.53/0.91 (assume a432 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat))
% 0.53/0.91 (assume a433 (tptp.class_Divides_Osemiring__div tptp.tc_nat))
% 0.53/0.91 (assume a434 (tptp.class_Orderings_Opreorder tptp.tc_nat))
% 0.53/0.91 (assume a435 (tptp.class_Orderings_Olinorder tptp.tc_nat))
% 0.53/0.91 (assume a436 (tptp.class_Orderings_Oorder tptp.tc_nat))
% 0.53/0.91 (assume a437 (tptp.class_HOL_Oord tptp.tc_nat))
% 0.53/0.91 (assume a438 (tptp.class_Orderings_Opreorder tptp.tc_bool))
% 0.53/0.91 (assume a439 (tptp.class_Orderings_Oorder tptp.tc_bool))
% 0.53/0.91 (assume a440 (tptp.class_HOL_Oord tptp.tc_bool))
% 0.53/0.91 (assume a441 (forall ((T_a $$unsorted) (V_x $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_x) V_x))))
% 0.53/0.91 (assume a442 (forall ((V_X $$unsorted) (V_Y $$unsorted) (T_a $$unsorted)) (or (= V_X V_Y) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_fequal T_a) V_X) V_Y))))))
% 0.53/0.91 (step t1 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule implies_neg1)
% 0.53/0.91 (anchor :step t2)
% 0.53/0.91 (assume t2.a0 (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))
% 0.53/0.91 (step t2.t1 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule implies_neg1)
% 0.53/0.91 (anchor :step t2.t2)
% 0.53/0.91 (assume t2.t2.a0 (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))
% 0.53/0.91 (step t2.t2.t1 (cl (= tptp.c_Message_Oagent_OSpy tptp.c_Message_Oagent_OSpy)) :rule refl)
% 0.53/0.91 (step t2.t2.t2 (cl (= (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) :rule symm :premises (t2.t2.a0))
% 0.53/0.91 (step t2.t2.t3 (cl (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule symm :premises (t2.t2.t2))
% 0.53/0.91 (step t2.t2.t4 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule cong :premises (t2.t2.t1 t2.t2.t3))
% 0.53/0.91 (step t2.t2 (cl (not (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule subproof :discharge (t2.t2.a0))
% 0.53/0.91 (step t2.t3 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule resolution :premises (t2.t1 t2.t2))
% 0.53/0.91 (step t2.t4 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))))) :rule implies_neg2)
% 0.53/0.91 (step t2.t5 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))))) :rule resolution :premises (t2.t3 t2.t4))
% 0.53/0.91 (step t2.t6 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))))) :rule contraction :premises (t2.t5))
% 0.53/0.91 (step t2.t7 (cl (not (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule implies :premises (t2.t6))
% 0.53/0.91 (step t2.t8 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule resolution :premises (t2.t7 t2.a0))
% 0.53/0.91 (step t2 (cl (not (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule subproof :discharge (t2.a0))
% 0.53/0.91 (step t3 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule resolution :premises (t1 t2))
% 0.53/0.91 (step t4 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (not (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))))) :rule implies_neg2)
% 0.53/0.91 (step t5 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))))) :rule resolution :premises (t3 t4))
% 0.53/0.91 (step t6 (cl (=> (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))))) :rule contraction :premises (t5))
% 0.53/0.91 (step t7 (cl (not (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule implies :premises (t6))
% 0.53/0.91 (step t8 (cl (= (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (not (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule reordering :premises (t7))
% 0.53/0.91 (step t9 (cl (=> (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a))))) :rule implies_neg1)
% 0.53/0.91 (anchor :step t10)
% 0.53/0.91 (assume t10.a0 (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))))
% 0.53/0.91 (step t10.t1 (cl (or (not (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a))))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule forall_inst :args ((:= T_a tptp.tc_Event_Oevent)))
% 0.53/0.91 (step t10.t2 (cl (not (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a))))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule or :premises (t10.t1))
% 0.53/0.91 (step t10.t3 (cl (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule resolution :premises (t10.t2 t10.a0))
% 0.53/0.91 (step t10 (cl (not (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a))))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule subproof :discharge (t10.a0))
% 0.53/0.91 (step t11 (cl (=> (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule resolution :premises (t9 t10))
% 0.53/0.91 (step t12 (cl (=> (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (not (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule implies_neg2)
% 0.53/0.91 (step t13 (cl (=> (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) (=> (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule resolution :premises (t11 t12))
% 0.53/0.91 (step t14 (cl (=> (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a)))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent))))) :rule contraction :premises (t13))
% 0.53/0.91 (step t15 (cl (not (forall ((T_a $$unsorted)) (= (tptp.c_List_Olist_ONil T_a) (tptp.hAPP (tptp.c_List_Orev T_a) (tptp.c_List_Olist_ONil T_a))))) (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule implies :premises (t14))
% 0.53/0.91 (step t16 (cl (= (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent) (tptp.hAPP (tptp.c_List_Orev tptp.tc_Event_Oevent) (tptp.c_List_Olist_ONil tptp.tc_Event_Oevent)))) :rule resolution :premises (t15 a420))
% 0.53/0.91 (step t17 (cl) :rule resolution :premises (t8 t16 a428))
% 0.53/0.91
% 0.53/0.91 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.DZgDFFBJpz/cvc5---1.0.5_3315.smt2
% 0.53/0.91 % cvc5---1.0.5 exiting
% 0.53/0.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------