TSTP Solution File: SWV779-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SWV779-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n024.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 : Mon Mar 25 14:39:29 EDT 2024

% Result   : Unsatisfiable 12.65s 12.88s
% Output   : Proof 12.65s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV779-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu Mar 21 07:59:01 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 12.65/12.88  % SZS status Unsatisfiable for theBenchmark
% 12.65/12.88  % SZS output start Proof for theBenchmark
% 12.65/12.88  
% 12.65/12.88  % Problem matrix:
% 12.65/12.88  cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.65/12.88  cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.65/12.88  cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.65/12.88  cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Event_Oknows(__eqx_0, __eqx_1) = c_Event_Oknows(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Event_Oevent_OSays(__eqx_0, __eqx_1, __eqx_2) = c_Event_Oevent_OSays(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist_OCons(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist_OCons(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Event_Oevent_OGets(__eqx_0, __eqx_1) = c_Event_Oevent_OGets(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Oinsert(__eqx_0, __eqx_1, __eqx_2) = c_Set_Oinsert(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Odrop(__eqx_0, __eqx_1, __eqx_2) = c_List_Odrop(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Osize__class_Osize(__eqx_0, __eqx_1) = c_Nat_Osize__class_Osize(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oappend(__eqx_0, __eqx_1, __eqx_2) = c_List_Oappend(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Otake(__eqx_0, __eqx_1, __eqx_2) = c_List_Otake(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_HOL_Ominus__class_Ominus(__eqx_0, __eqx_1, __eqx_2) = c_HOL_Ominus__class_Ominus(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Message_Oagent_Oagent__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Message_Oagent_Oagent__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Message__Xagent__Xsplit__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Message__Xagent__Xsplit__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Message_Osko__Message__Xagent__Xcase__cong__1__1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Message_Osko__Message__Xagent__Xcase__cong__1__1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.65/12.88  cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( v_sko__Message__Xagent__Xsplit__asm__1(__eqx_0, __eqx_1, __eqx_2) = v_sko__Message__Xagent__Xsplit__asm__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Message_Oagent_OFriend(__eqx_0) = c_Message_Oagent_OFriend(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otl(__eqx_0, __eqx_1) = c_List_Otl(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Olist__update(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Olist__update(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.65/12.88  cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oset(__eqx_0, __eqx_1) = c_List_Oset(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Orotate(__eqx_0, __eqx_1, __eqx_2) = c_List_Orotate(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Ofilter(__eqx_0, __eqx_1, __eqx_2) = c_List_Ofilter(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_OdropWhile(__eqx_0, __eqx_1, __eqx_2) = c_List_OdropWhile(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oremove1(__eqx_0, __eqx_1, __eqx_2) = c_List_Oremove1(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Oreplicate(__eqx_0, __eqx_1, __eqx_2) = c_List_Oreplicate(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Osublist(__eqx_0, __eqx_1, __eqx_2) = c_List_Osublist(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( c_Event_OinitState(__eqx_0) = c_Event_OinitState(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlist__Xinduct__1(__eqx_0) = v_sko__List__Xlist__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlist__Xinduct__2(__eqx_0) = v_sko__List__Xlist__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlist__update__Xinduct__1(__eqx_0) = v_sko__List__Xlist__update__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlist__update__Xinduct__2(__eqx_0) = v_sko__List__Xlist__update__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__XremoveAll__Xinduct__1(__eqx_0) = v_sko__List__XremoveAll__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__XremoveAll__Xinduct__2(__eqx_0) = v_sko__List__XremoveAll__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__XtakeWhile__Xinduct__1(__eqx_0) = v_sko__List__XtakeWhile__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__XtakeWhile__Xinduct__2(__eqx_0) = v_sko__List__XtakeWhile__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__XdropWhile__Xinduct__1(__eqx_0) = v_sko__List__XdropWhile__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__XdropWhile__Xinduct__2(__eqx_0) = v_sko__List__XdropWhile__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xzip__Xinduct__1(__eqx_0) = v_sko__List__Xzip__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xzip__Xinduct__2(__eqx_0) = v_sko__List__Xzip__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlistset__Xinduct__1(__eqx_0) = v_sko__List__Xlistset__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlistset__Xinduct__2(__eqx_0) = v_sko__List__Xlistset__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xremove1__Xinduct__1(__eqx_0) = v_sko__List__Xremove1__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xremove1__Xinduct__2(__eqx_0) = v_sko__List__Xremove1__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xdistinct__Xinduct__1(__eqx_0) = v_sko__List__Xdistinct__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xdistinct__Xinduct__2(__eqx_0) = v_sko__List__Xdistinct__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlistsum__Xinduct__1(__eqx_0) = v_sko__List__Xlistsum__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlistsum__Xinduct__2(__eqx_0) = v_sko__List__Xlistsum__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlast__Xinduct__1(__eqx_0) = v_sko__List__Xlast__Xinduct__1(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xlast__Xinduct__2(__eqx_0) = v_sko__List__Xlast__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Finite__Set_Osetsum(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Finite__Set_Osetsum(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.65/12.88  cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Omap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Omap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.65/12.88  cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsum(__eqx_0, __eqx_1) = c_List_Olistsum(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate1(__eqx_0, __eqx_1) = c_List_Orotate1(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ohd(__eqx_0, __eqx_1) = c_List_Ohd(__eqy_0, __eqy_1)) )).
% 12.65/12.88  cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_fequal(__eqx_0) = c_fequal(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldl(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldl(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olist_Olist__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olist_Olist__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Ofoldr(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Ofoldr(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Map_Omap__upds(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Map_Omap__upds(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_List_Olist_Olist__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_List_Olist_Olist__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Message_Oagent_Oagent__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Message_Oagent_Oagent__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 12.65/12.88  cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_List_Olist__inter(__eqx_0, __eqx_1, __eqx_2) = c_List_Olist__inter(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.65/12.88  cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xfoldl__Xinduct__2(__eqx_0) = v_sko__List__Xfoldl__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xtake__Xinduct__2(__eqx_0) = v_sko__List__Xtake__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_List_Ofiltermap(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_List_Ofiltermap(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.65/12.88  cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xconcat__Xinduct__2(__eqx_0) = v_sko__List__Xconcat__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( v_sko__List__Xmap__Xinduct__2(__eqx_0) = v_sko__List__Xmap__Xinduct__2(__eqy_0)) )).
% 12.65/12.88  cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_lessequals(__eqx_0, __eqx_1, __eqx_2) | c_lessequals(__eqy_0, __eqy_1, __eqy_2) )).
% 12.65/12.88  cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.65/12.88  cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~class_HOL_Oord(__eqx_0) | class_HOL_Oord(__eqy_0) )).
% 12.65/12.88  cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.65/12.88  cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Oab__group__add(__eqx_0) | class_OrderedGroup_Oab__group__add(__eqy_0) )).
% 12.65/12.88  cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Fun_Oinj__on(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Fun_Oinj__on(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.65/12.88  cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.65/12.88  cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.65/12.88  cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.65/12.88  cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Opordered__ab__group__add(__eqx_0) | class_OrderedGroup_Opordered__ab__group__add(__eqy_0) )).
% 12.65/12.88  cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.65/12.88  cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Olinorder__class_Osorted(__eqx_0, __eqx_1) | c_List_Olinorder__class_Osorted(__eqy_0, __eqy_1) )).
% 12.65/12.88  cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~class_OrderedGroup_Ocomm__monoid__add(__eqx_0) | class_OrderedGroup_Ocomm__monoid__add(__eqy_0) )).
% 12.65/12.88  cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Odistinct(__eqx_0, __eqx_1) | c_List_Odistinct(__eqy_0, __eqy_1) )).
% 12.65/12.88  cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_List_Olist__all2(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_List_Olist__all2(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 12.65/12.88  cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__all(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__all(__eqy_0, __eqy_1, __eqy_2) )).
% 12.65/12.88  cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_List_Onull(__eqx_0, __eqx_1) | c_List_Onull(__eqy_0, __eqy_1) )).
% 12.65/12.88  cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olistsp(__eqx_0, __eqx_1, __eqx_2) | c_List_Olistsp(__eqy_0, __eqy_1, __eqy_2) )).
% 12.65/12.88  cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_List_Olist__ex(__eqx_0, __eqx_1, __eqx_2) | c_List_Olist__ex(__eqy_0, __eqy_1, __eqy_2) )).
% 12.65/12.88  cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_List_Olistrelp(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_List_Olistrelp(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 12.65/12.88  cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ~c_NS__Shared__Mirabelle_Ons__sharedp(__eqx_0) | c_NS__Shared__Mirabelle_Ons__sharedp(__eqy_0) )).
% 12.65/12.88  cnf(matrix-98, plain, ( c_lessequals(c_Event_Oknows(V_A, V_evs), c_Event_Oknows(V_A, c_List_Olist_OCons(c_Event_Oevent_OSays(V_A_H, V_B, V_X), V_evs, tc_Event_Oevent)), tc_fun(tc_Message_Omsg, tc_bool)) )).
% 12.65/12.88  cnf(matrix-99, plain, ( ( c_Event_Oevent_OGets(V_agent_H, V_msg_H) != c_Event_Oevent_OSays(V_agent1, V_agent2, V_msg)) )).
% 12.65/12.88  cnf(matrix-100, plain, ( ( c_Event_Oevent_OSays(V_agent1, V_agent2, V_msg) != c_Event_Oevent_OGets(V_agent_H, V_msg_H)) )).
% 12.65/12.88  cnf(matrix-101, plain, ( ( c_Event_Oknows(V_A, c_List_Olist_OCons(c_Event_Oevent_OSays(V_A, V_B, V_X), V_evs, tc_Event_Oevent)) = c_Set_Oinsert(V_X, c_Event_Oknows(V_A, V_evs), tc_Message_Omsg)) )).
% 12.65/12.88  cnf(matrix-102, plain, ( ( c_Event_Oevent_OSays(V_agent1, V_agent2, V_msg) != c_Event_Oevent_OSays(V_agent1_H, V_agent2_H, V_msg_H)) | ( V_msg = V_msg_H) )).
% 12.65/12.88  cnf(matrix-103, plain, ( ( c_Event_Oevent_OSays(V_agent1, V_agent2, V_msg) != c_Event_Oevent_OSays(V_agent1_H, V_agent2_H, V_msg_H)) | ( V_agent2 = V_agent2_H) )).
% 12.65/12.88  cnf(matrix-104, plain, ( ( c_Event_Oevent_OSays(V_agent1, V_agent2, V_msg) != c_Event_Oevent_OSays(V_agent1_H, V_agent2_H, V_msg_H)) | ( V_agent1 = V_agent1_H) )).
% 12.65/12.88  cnf(matrix-105, plain, ( ( c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OSays(V_A, V_B, V_X), V_evs, tc_Event_Oevent)) = c_Set_Oinsert(V_X, c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg)) )).
% 12.65/12.88  cnf(matrix-106, plain, ( c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OSays(V_A, V_B, V_X), V_evs, tc_Event_Oevent)), tc_fun(tc_Message_Omsg, tc_bool)) )).
% 12.65/12.88  cnf(matrix-107, plain, ( ( c_List_Odrop(V_n, V_xs, T_a) != c_List_Olist_ONil(T_a)) | c_lessequals(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-108, plain, ( ( c_List_Odrop(V_n, V_xs, T_a) = c_List_Olist_ONil(T_a)) | ~c_lessequals(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-109, plain, ( ( c_List_Oappend(V_xs_092_060_094isub_0621, V_xs_092_060_094isub_0622, T_a) != c_List_Oappend(V_ys_092_060_094isub_0621, V_ys_092_060_094isub_0622, T_a)) | ( c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), V_xs_092_060_094isub_0621, T_a) = V_ys_092_060_094isub_0621) | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-110, plain, ( ( c_List_Otake(V_n, c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Oappend(c_List_Otake(V_n, V_xs, T_a), c_List_Otake(c_HOL_Ominus__class_Ominus(V_n, c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat), V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-111, plain, ( ( c_List_Oappend(V_xs_092_060_094isub_0621, V_xs_092_060_094isub_0622, T_a) != c_List_Oappend(V_ys_092_060_094isub_0621, V_ys_092_060_094isub_0622, T_a)) | ( V_xs_092_060_094isub_0621 = c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), V_ys_092_060_094isub_0621, T_a)) | ~c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-112, plain, ( ( c_List_Oappend(V_xs_092_060_094isub_0621, V_xs_092_060_094isub_0622, T_a) != c_List_Oappend(V_ys_092_060_094isub_0621, V_ys_092_060_094isub_0622, T_a)) | ( V_xs_092_060_094isub_0622 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), V_ys_092_060_094isub_0621, T_a), V_ys_092_060_094isub_0622, T_a)) | ~c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-113, plain, ( ( c_List_Oappend(V_xs_092_060_094isub_0621, V_xs_092_060_094isub_0622, T_a) != c_List_Oappend(V_ys_092_060_094isub_0621, V_ys_092_060_094isub_0622, T_a)) | ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, 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) | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-114, plain, ( ( c_List_Odrop(V_n, c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Oappend(c_List_Odrop(V_n, V_xs, T_a), c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n, c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat), V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-115, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x)))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-116, plain, ( ( hAPP(V_f2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_x, V_f2, V_g2, T_a)) != hAPP(V_g2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_x, V_f2, V_g2, T_a))) | ( V_x = c_Message_Oagent_OServer) | ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, T_a) = c_Message_Oagent_Oagent__case(V_g1, V_g2, V_g3, V_x, T_a)) | ( V_x = c_Message_Oagent_OSpy) )).
% 12.65/12.88  cnf(matrix-117, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x)))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-118, plain, ( c_lessequals(c_Event_Oknows(V_A, V_evs), c_Event_Oknows(V_A, c_List_Olist_OCons(c_Event_Oevent_OGets(V_A_H, V_X), V_evs, tc_Event_Oevent)), tc_fun(tc_Message_Omsg, tc_bool)) )).
% 12.65/12.88  cnf(matrix-119, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-120, plain, ( ( c_Message_Oagent_Oagent__case(V_x, V_f2, V_f3, V_xa, T_a) = c_Message_Oagent_Oagent__case(V_x, V_g2, V_g3, V_xa, T_a)) | ( V_xa = c_Message_Oagent_OSpy) | ( V_xa = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_a))) )).
% 12.65/12.88  cnf(matrix-121, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-122, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-123, plain, ( ( V_xa = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_a))) | ( V_xa = c_Message_Oagent_OServer) | ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_x, V_xa, T_a) = c_Message_Oagent_Oagent__case(V_g1, V_g2, V_x, V_xa, T_a)) )).
% 12.65/12.88  cnf(matrix-124, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-125, plain, ( ( c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Oappend(V_evs, c_List_Olist_OCons(c_Event_Oevent_OSays(V_A, V_B, V_X), c_List_Olist_ONil(tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent)) = c_Set_Oinsert(V_X, c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), tc_Message_Omsg)) )).
% 12.65/12.88  cnf(matrix-126, plain, ( ( c_List_Obutlast(c_List_Oappend(V_xs, c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a), T_a) = V_xs) )).
% 12.65/12.88  cnf(matrix-127, plain, ( ( c_List_Otl(c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-128, plain, ( ( c_List_Obutlast(c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-129, plain, ( ~class_HOL_Oord(T_b) | c_lessequals(hAPP(V_f, V_x), hAPP(V_g, V_x), T_b) | ~c_lessequals(V_f, V_g, tc_fun(T_a, T_b)) )).
% 12.65/12.88  cnf(matrix-130, plain, ( ( hAPP(V_f2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xb, V_f2, V_g2, T_a)) != hAPP(V_g2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xb, V_f2, V_g2, T_a))) | ( c_Message_Oagent_Oagent__case(V_xa, V_f2, V_x, V_xb, T_a) = c_Message_Oagent_Oagent__case(V_xa, V_g2, V_x, V_xb, T_a)) )).
% 12.65/12.88  cnf(matrix-131, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x)))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-132, plain, ( ( c_HOL_Ominus__class_Ominus(V_n, c_HOL_Ominus__class_Ominus(V_n, V_i, tc_nat), tc_nat) = V_i) | ~c_lessequals(V_i, V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-133, plain, ( ( c_List_Obutlast(c_List_Odrop(V_n, V_xs, T_a), T_a) = c_List_Odrop(V_n, c_List_Obutlast(V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-134, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a, V_c, T_a), c_Divides_Odiv__class_Omod(V_b, V_c, T_a), T_a), V_c, T_a)) )).
% 12.65/12.88  cnf(matrix-135, plain, ( c_lessequals(c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat), V_m, tc_nat) )).
% 12.65/12.88  cnf(matrix-136, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) | ~hBOOL(hAPP(V_A, V_x)) )).
% 12.65/12.88  cnf(matrix-137, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i, V_j, tc_nat), V_k, tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i, V_k, tc_nat), V_j, tc_nat)) )).
% 12.65/12.88  cnf(matrix-138, plain, ( ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) = c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat)) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 12.65/12.88  cnf(matrix-139, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_m, tc_nat) )).
% 12.65/12.88  cnf(matrix-140, plain, ( ( c_List_Otl(c_List_Odrop(V_n, V_xs, T_a), T_a) = c_List_Odrop(V_n, c_List_Otl(V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-141, plain, ( ( c_List_Odrop(V_n, c_List_Obutlast(V_xs, T_a), T_a) = c_List_Obutlast(c_List_Odrop(V_n, V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-142, plain, ( ( c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat) != c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat)) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) | ( V_m = V_n) )).
% 12.65/12.88  cnf(matrix-143, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_x, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | ( V_x_H = V_y_H) )).
% 12.65/12.88  cnf(matrix-144, plain, ( ~class_OrderedGroup_Oab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_xa, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x, V_x, T_a)) | ( V_xa = V_y) )).
% 12.65/12.88  cnf(matrix-145, plain, ( c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 12.65/12.88  cnf(matrix-146, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_k, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_k, tc_nat), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) | ~c_lessequals(V_k, V_n, tc_nat) | ~c_lessequals(V_k, V_m, tc_nat) )).
% 12.65/12.88  cnf(matrix-147, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m, V_l, tc_nat), c_HOL_Ominus__class_Ominus(V_n, V_l, tc_nat), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-148, plain, ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l, V_n, tc_nat), c_HOL_Ominus__class_Ominus(V_l, V_m, tc_nat), tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-149, plain, ( ( c_Set_Oinsert(V_x, c_Set_Oinsert(V_y, V_A, T_a), T_a) = c_Set_Oinsert(V_y, c_Set_Oinsert(V_x, V_A, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-150, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, c_Divides_Odiv__class_Omod(V_b, V_c, T_a), T_a), V_c, T_a)) )).
% 12.65/12.88  cnf(matrix-151, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a, V_c, T_a), V_b, T_a), V_c, T_a)) )).
% 12.65/12.88  cnf(matrix-152, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_Fun_Oinj__on(V_f, c_Set_Oinsert(V_a, V_A, T_a), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-153, plain, ( ( c_List_Odrop(V_n, c_List_Otl(V_xs, T_a), T_a) = c_List_Otl(c_List_Odrop(V_n, V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-154, plain, ( c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_lessequals(c_Set_Oinsert(V_x, V_A, T_a), V_B, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-155, plain, ( c_lessequals(V_A, c_Set_Oinsert(V_b, V_B, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-156, plain, ( ~class_Divides_Osemiring__div(T_a) | ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a, V_b, T_a), V_b, T_a) = c_Divides_Odiv__class_Omod(V_a, V_b, T_a)) )).
% 12.65/12.88  cnf(matrix-157, plain, ( ( c_Set_Oinsert(V_x, c_Set_Oinsert(V_x, V_A, T_a), T_a) = c_Set_Oinsert(V_x, V_A, T_a)) )).
% 12.65/12.88  cnf(matrix-158, plain, ( hBOOL(hAPP(V_A, V_x)) | ( V_y = V_x) | ~hBOOL(hAPP(c_Set_Oinsert(V_y, V_A, T_a), V_x)) )).
% 12.65/12.88  cnf(matrix-159, plain, ( c_lessequals(V_B, c_Set_Oinsert(V_a, V_B, T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-160, plain, ( ( c_Divides_Odiv__class_Omod(V_m, V_n, tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), V_n, tc_nat)) | ~c_lessequals(V_n, V_m, tc_nat) )).
% 12.65/12.88  cnf(matrix-161, plain, ( ( c_List_Otl(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = V_xs) )).
% 12.65/12.88  cnf(matrix-162, plain, ( ( V_A = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-163, plain, ( ( V_m = V_n) | ~c_lessequals(V_n, V_m, tc_nat) | ~c_lessequals(V_m, V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-164, plain, ( ( V_A = V_B) | ~c_lessequals(V_B, V_A, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-165, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.65/12.88  cnf(matrix-166, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.65/12.88  cnf(matrix-167, plain, ( ~class_Orderings_Oorder(T_a) | ( V_x = V_y) | ~c_lessequals(V_x, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.65/12.88  cnf(matrix-168, plain, ( ~class_Divides_Oring__div(T_a) | ( c_Divides_Odiv__class_Omod(V_b, V_c, T_a) != c_Divides_Odiv__class_Omod(V_b_H, V_c, T_a)) | ( c_Divides_Odiv__class_Omod(V_a, V_c, T_a) != c_Divides_Odiv__class_Omod(V_a_H, V_c, T_a)) | ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a, V_b, T_a), V_c, T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H, V_b_H, T_a), V_c, T_a)) )).
% 12.65/12.88  cnf(matrix-169, plain, ( c_lessequals(c_List_Oset(c_List_Olist__update(V_xs, V_i, V_x, T_a), T_a), c_Set_Oinsert(V_x, c_List_Oset(V_xs, T_a), T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-170, plain, ( hBOOL(hAPP(c_Set_Oinsert(V_x, V_A, T_a), V_x)) )).
% 12.65/12.88  cnf(matrix-171, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_z, V_x, T_a) | ~c_lessequals(V_z, V_y, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.65/12.88  cnf(matrix-172, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_z, T_a) | ~c_lessequals(V_y, V_z, T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.65/12.88  cnf(matrix-173, plain, ( c_lessequals(V_n, V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-174, plain, ( c_lessequals(V_i, V_k, tc_nat) | ~c_lessequals(V_j, V_k, tc_nat) | ~c_lessequals(V_i, V_j, tc_nat) )).
% 12.65/12.88  cnf(matrix-175, plain, ( c_lessequals(V_x, V_x, tc_nat) )).
% 12.65/12.88  cnf(matrix-176, plain, ( c_lessequals(V_x, V_x, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-177, plain, ( c_lessequals(V_A, V_A, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-178, plain, ( c_lessequals(V_A, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_B, V_C, tc_fun(T_a, tc_bool)) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-179, plain, ( c_Fun_Oinj__on(V_f, V_A, T_a, T_b) | ~c_lessequals(V_A, V_B, tc_fun(T_a, tc_bool)) | ~c_Fun_Oinj__on(V_f, V_B, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-180, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~hBOOL(hAPP(V_P, V_x)) | ~c_lessequals(V_P, V_Q, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-181, plain, ( ~class_Orderings_Oorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 12.65/12.88  cnf(matrix-182, plain, ( ~class_Orderings_Opreorder(T_a) | c_lessequals(V_x, V_x, T_a) )).
% 12.65/12.88  cnf(matrix-183, plain, ( hBOOL(hAPP(V_Q, V_x)) | ~c_lessequals(V_P, V_Q, tc_fun(T_a, tc_bool)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-184, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x)))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-185, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | c_lessequals(V_y_H, V_x_H, T_a) | ~c_lessequals(V_y, V_x, T_a) )).
% 12.65/12.88  cnf(matrix-186, plain, ( ~class_OrderedGroup_Opordered__ab__group__add(T_a) | ( c_HOL_Ominus__class_Ominus(V_x, V_y, T_a) != c_HOL_Ominus__class_Ominus(V_x_H, V_y_H, T_a)) | c_lessequals(V_y, V_x, T_a) | ~c_lessequals(V_y_H, V_x_H, T_a) )).
% 12.65/12.88  cnf(matrix-187, plain, ( c_lessequals(c_Set_Oinsert(V_a, V_C, T_a), c_Set_Oinsert(V_a, V_D, T_a), tc_fun(T_a, tc_bool)) | ~c_lessequals(V_C, V_D, tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-188, plain, ( c_lessequals(V_n, V_m, tc_nat) | c_lessequals(V_m, V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-189, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_y, V_x, T_a) | c_lessequals(V_x, V_y, T_a) )).
% 12.65/12.88  cnf(matrix-190, plain, ( ( c_List_Orotate(V_n, hAPP(c_List_Orev(T_a), V_xs), T_a) = hAPP(c_List_Orev(T_a), c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), c_Divides_Odiv__class_Omod(V_n, c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat), tc_nat), V_xs, T_a))) )).
% 12.65/12.88  cnf(matrix-191, plain, ( ( c_List_Obutlast(c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-192, plain, ( ( c_List_Obutlast(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olist_OCons(V_x, c_List_Obutlast(V_xs, T_a), T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-193, plain, ( c_lessequals(c_List_Oset(V_xs, T_a), c_List_Oset(c_List_Olist_OCons(V_x, V_xs, T_a), T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-194, plain, ( ( c_List_Oset(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_Set_Oinsert(V_x, c_List_Oset(V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-195, plain, ( ~c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x, V_ys, T_a), tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-196, plain, ( ( c_List_Obutlast(c_List_Oappend(V_xs, c_List_Olist_ONil(T_a), T_a), T_a) = c_List_Obutlast(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-197, plain, ( ( c_List_Otl(c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Oappend(c_List_Otl(V_xs, T_a), V_ys, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-198, plain, ( ( c_List_Obutlast(c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Oappend(V_xs, c_List_Obutlast(V_ys, T_a), T_a)) | ( V_ys = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-199, plain, ( c_lessequals(c_List_Oset(c_List_Otake(V_n, V_xs, T_a), T_a), c_List_Oset(V_xs, T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-200, plain, ( c_lessequals(c_List_Oset(c_List_Ofilter(V_P, V_xs, T_a), T_a), c_List_Oset(V_xs, T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-201, plain, ( ( c_List_Otake(V_n, V_xs, T_a) = V_xs) | ~c_lessequals(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_n, tc_nat) )).
% 12.65/12.88  cnf(matrix-202, plain, ( c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(V_P, V_xs, T_a), tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-203, plain, ( ~class_Orderings_Olinorder(T_a) | c_lessequals(V_x, V_y, T_a) | ~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x, c_List_Olist_OCons(V_y, V_zs, T_a), T_a), T_a) )).
% 12.65/12.88  cnf(matrix-204, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x, c_List_Olist_OCons(V_y, V_zs, T_a), T_a), T_a) | ~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y, V_zs, T_a), T_a) | ~c_lessequals(V_x, V_y, T_a) )).
% 12.65/12.88  cnf(matrix-205, plain, ( c_lessequals(c_List_Oset(c_List_Odrop(V_n, V_xs, T_a), T_a), c_List_Oset(V_xs, T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-206, plain, ( ( c_Nat_Osize__class_Osize(c_List_Odrop(V_n, V_xs, T_a), tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_n, tc_nat)) )).
% 12.65/12.88  cnf(matrix-207, plain, ( ( c_List_Olist__update(V_xs, V_i, V_x, T_a) = V_xs) | ~c_lessequals(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_i, tc_nat) )).
% 12.65/12.88  cnf(matrix-208, plain, ( c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(V_P, V_xs, T_a), tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-209, plain, ( ( c_List_Odrop(V_n, c_List_Otake(V_m, V_xs, T_a), T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m, V_n, tc_nat), c_List_Odrop(V_n, V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-210, plain, ( ( c_List_Orotate(V_n, V_xs, T_a) = c_List_Orotate(c_Divides_Odiv__class_Omod(V_n, c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat), V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-211, plain, ( c_lessequals(c_List_Oset(c_List_Oremove1(V_x, V_xs, T_a), T_a), c_List_Oset(V_xs, T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-212, plain, ( c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs, T_a), tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-213, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x)))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-214, plain, ( ( hAPP(V_f2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_a)) != hAPP(V_g2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_a))) | ( c_Message_Oagent_Oagent__case(V_x, V_f2, V_f3, V_xa, T_a) = c_Message_Oagent_Oagent__case(V_x, V_g2, V_g3, V_xa, T_a)) | ( V_xa = c_Message_Oagent_OSpy) )).
% 12.65/12.88  cnf(matrix-215, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x)))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-216, plain, ( c_lessequals(c_Event_Oknows(V_A, V_evs), c_Event_Oknows(V_A, c_List_Olist_OCons(V_e, V_evs, tc_Event_Oevent)), tc_fun(tc_Message_Omsg, tc_bool)) )).
% 12.65/12.88  cnf(matrix-217, plain, ( ( c_List_Odrop(V_i, c_List_Oreplicate(V_k, V_x, T_a), T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k, V_i, tc_nat), V_x, T_a)) )).
% 12.65/12.88  cnf(matrix-218, plain, ( c_lessequals(c_List_Oset(c_List_Osublist(V_xs, V_I, T_a), T_a), c_List_Oset(V_xs, T_a), tc_fun(T_a, tc_bool)) )).
% 12.65/12.88  cnf(matrix-219, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x)))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-220, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ~hBOOL(hAPP(V_P, hAPP(V_f2, v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x)))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-221, plain, ( ( hAPP(V_f2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_a)) != hAPP(V_g2, c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xa, V_f2, V_g2, T_a))) | ( V_xa = c_Message_Oagent_OServer) | ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_x, V_xa, T_a) = c_Message_Oagent_Oagent__case(V_g1, V_g2, V_x, V_xa, T_a)) )).
% 12.65/12.88  cnf(matrix-222, plain, ( ( V_xb = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_xb, V_f2, V_g2, T_a))) | ( c_Message_Oagent_Oagent__case(V_xa, V_f2, V_x, V_xb, T_a) = c_Message_Oagent_Oagent__case(V_xa, V_g2, V_x, V_xb, T_a)) )).
% 12.65/12.88  cnf(matrix-223, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-224, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ~hBOOL(hAPP(V_P, V_f3)) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x))) | ~hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-225, plain, ( c_lessequals(c_Event_OinitState(V_A), c_Event_Oknows(V_A, V_evs), tc_fun(tc_Message_Omsg, tc_bool)) )).
% 12.65/12.88  cnf(matrix-226, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(V_P), v_sko__List__Xlist__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-227, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(V_P), v_sko__List__Xlist__update__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-228, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(V_P), v_sko__List__XremoveAll__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-229, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(V_P), v_sko__List__XtakeWhile__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-230, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(V_P), v_sko__List__XdropWhile__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-231, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(V_P), v_sko__List__Xzip__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-232, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(V_P), v_sko__List__Xlistset__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-233, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(V_P), v_sko__List__Xremove1__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-234, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(V_P), v_sko__List__Xdistinct__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-235, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(V_P), v_sko__List__Xlistsum__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-236, plain, ( hBOOL(hAPP(V_P, V_list)) | ~hBOOL(hAPP(V_P, c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(V_P), v_sko__List__Xlast__Xinduct__2(V_P), t_a))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-237, plain, ( ( c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), V_xs_092_060_094isub_0621, T_a) != V_ys_092_060_094isub_0621) | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), tc_nat) | ( c_List_Oappend(V_xs_092_060_094isub_0621, V_xs_092_060_094isub_0622, T_a) = c_List_Oappend(V_ys_092_060_094isub_0621, c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), V_xs_092_060_094isub_0621, T_a), V_xs_092_060_094isub_0622, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-238, plain, ( ( V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), V_ys_092_060_094isub_0621, T_a)) | ( c_List_Oappend(V_xs_092_060_094isub_0621, c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), V_ys_092_060_094isub_0621, T_a), V_ys_092_060_094isub_0622, T_a), T_a) = c_List_Oappend(V_ys_092_060_094isub_0621, V_ys_092_060_094isub_0622, T_a)) | ~c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), tc_nat) )).
% 12.65/12.88  cnf(matrix-239, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_b) | ( c_Finite__Set_Osetsum(V_f, c_List_Oset(V_xs, T_a), T_a, T_b) = c_List_Olistsum(c_List_Omap(V_f, V_xs, T_a, T_b), T_b)) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-240, plain, ( ( c_List_Oappend(c_List_Obutlast(V_xs, T_a), c_List_Olist_OCons(c_List_Olast(V_xs, T_a), c_List_Olist_ONil(T_a), T_a), T_a) = V_xs) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-241, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Otake(V_i, V_xs, T_a)) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_i, tc_nat), hAPP(c_List_Orev(T_a), V_xs), T_a)) )).
% 12.65/12.88  cnf(matrix-242, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Odrop(V_i, V_xs, T_a)) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_i, tc_nat), hAPP(c_List_Orev(T_a), V_xs), T_a)) )).
% 12.65/12.88  cnf(matrix-243, plain, ( ( c_Event_Oknows(V_A, c_List_Olist_OCons(c_Event_Oevent_OGets(V_A, V_X), V_evs, tc_Event_Oevent)) = c_Set_Oinsert(V_X, c_Event_Oknows(V_A, V_evs), tc_Message_Omsg)) | ( V_A = c_Message_Oagent_OSpy) )).
% 12.65/12.88  cnf(matrix-244, plain, ( c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs), c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OGets(V_A, V_X), V_evs, tc_Event_Oevent)), tc_fun(tc_Message_Omsg, tc_bool)) )).
% 12.65/12.88  cnf(matrix-245, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(V_P, V_f2, V_x))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-246, plain, ( ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, T_a) = c_Message_Oagent_Oagent__case(V_g1, V_g2, V_g3, V_x, T_a)) | ( V_x = c_Message_Oagent_OSpy) | ( V_x = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(V_x, V_f2, V_g2, T_a))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-247, plain, ( hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, V_x, t_a))) | ( V_x = c_Message_Oagent_OSpy) | ( V_x = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(V_P, V_f2, V_x))) | ( V_x = c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-248, plain, ( ( c_List_Orotate(V_n, V_xs, T_a) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(V_n, c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat), V_xs, T_a), c_List_Otake(c_Divides_Odiv__class_Omod(V_n, c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), tc_nat), V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-249, plain, ( ( c_List_Orotate1(V_xs, T_a) = c_List_Oappend(c_List_Otl(V_xs, T_a), c_List_Olist_OCons(c_List_Ohd(V_xs, T_a), c_List_Olist_ONil(T_a), T_a), T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-250, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Odrop(V_n, V_xs, T_a), T_a) | ~c_List_Olinorder__class_Osorted(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-251, plain, ( ( c_List_Otake(V_n, c_List_Omap(V_f, V_xs, T_b, T_a), T_a) = c_List_Omap(V_f, c_List_Otake(V_n, V_xs, T_b), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-252, plain, ( ( c_List_Oremdups(c_List_Ofilter(V_P, V_xs, T_a), T_a) = c_List_Ofilter(V_P, c_List_Oremdups(V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-253, plain, ( ( c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H)) )).
% 12.65/12.88  cnf(matrix-254, plain, ( c_List_Olist__all2(V_P, c_List_Otake(V_n, V_xs, T_a), c_List_Otake(V_n, V_ys, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-255, plain, ( c_Fun_Oinj__on(V_f, c_List_Oset(V_xs, T_b), T_b, T_a) | ~c_List_Odistinct(c_List_Omap(V_f, V_xs, T_b, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-256, plain, ( ( c_List_Olist_OCons(V_x, V_xs, T_a) != c_List_Ofilter(V_P, V_ys, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-257, plain, ( ( V_xs = V_ys) | ~c_List_Olist__all2(c_fequal(T_a), V_xs, V_ys, T_a, T_a) )).
% 12.65/12.88  cnf(matrix-258, plain, ( ( c_List_Ofoldl(V_f, V_a, c_List_Olist_OCons(V_x, V_xs, T_b), T_a, T_b) = c_List_Ofoldl(V_f, hAPP(hAPP(V_f, V_a), V_x), V_xs, T_a, T_b)) )).
% 12.65/12.88  cnf(matrix-259, plain, ( ~class_Orderings_Olinorder(T_a) | ( c_List_Oset(V_xs, T_a) != c_List_Oset(V_ys, T_a)) | ~c_List_Odistinct(V_ys, T_a) | ~c_List_Olinorder__class_Osorted(V_ys, T_a) | ~c_List_Odistinct(V_xs, T_a) | ~c_List_Olinorder__class_Osorted(V_xs, T_a) | ( V_xs = V_ys) )).
% 12.65/12.88  cnf(matrix-260, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y, V_zs, T_a), T_a) | ~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x, c_List_Olist_OCons(V_y, V_zs, T_a), T_a), T_a) )).
% 12.65/12.88  cnf(matrix-261, plain, ( c_List_Olist__all2(V_P, c_List_Oappend(V_a, V_c, T_a), c_List_Oappend(V_b, V_d, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_c, V_d, T_a, T_b) | ~c_List_Olist__all2(V_P, V_a, V_b, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-262, plain, ( ( c_Nat_Osize__class_Osize(V_xa, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_zs, tc_List_Olist(T_b))) | ( c_Nat_Osize__class_Osize(V_x, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | c_List_Olist__all2(V_P, c_List_Oappend(V_x, V_xa, T_a), c_List_Oappend(V_ys, V_zs, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_xa, V_zs, T_a, T_b) | ~c_List_Olist__all2(V_P, V_x, V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-263, plain, ( ( c_Nat_Osize__class_Osize(V_xa, tc_List_Olist(T_b)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_a))) | ( c_Nat_Osize__class_Osize(V_x, tc_List_Olist(T_b)) != c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) | c_List_Olist__all2(V_P, c_List_Oappend(V_xs, V_ys, T_a), c_List_Oappend(V_x, V_xa, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_ys, V_xa, T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, V_x, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-264, plain, ( ( c_List_Oappend(c_List_Olist_OCons(V_x, V_xa, T_a), V_zs, T_a) = c_List_Olist_OCons(V_x, c_List_Oappend(V_xa, V_zs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-265, plain, ( ( c_List_Oappend(c_List_Olist_OCons(V_x, V_xs, T_a), V_ys, T_a) = c_List_Olist_OCons(V_x, c_List_Oappend(V_xs, V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-266, plain, ( ~hBOOL(hAPP(V_P, c_List_Ohd(c_List_OdropWhile(V_P, V_xs, T_a), T_a))) | ( c_List_OdropWhile(V_P, V_xs, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-267, plain, ( c_List_Odistinct(c_List_Orotate1(V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-268, plain, ( c_List_Odistinct(V_xs, T_a) | ~c_List_Odistinct(c_List_Orotate1(V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-269, plain, ( ( V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), c_List_Oappend(V_xs, V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-270, plain, ( c_List_Odistinct(c_List_Ofilter(V_P, V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-271, plain, ( ( c_List_Omap(V_f, c_List_Olist_OCons(V_x, V_xa, T_b), T_b, T_a) = c_List_Olist_OCons(hAPP(V_f, V_x), c_List_Omap(V_f, V_xa, T_b, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-272, plain, ( ( c_List_Olist_OCons(hAPP(V_f, V_xa), c_List_Omap(V_f, V_xb, T_b, T_a), T_a) = c_List_Omap(V_f, c_List_Olist_OCons(V_xa, V_xb, T_b), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-273, plain, ( ( c_List_Omap(V_f, c_List_Olist_OCons(V_x, V_xs, T_b), T_b, T_a) = c_List_Olist_OCons(hAPP(V_f, V_x), c_List_Omap(V_f, V_xs, T_b, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-274, plain, ( ( c_List_Olist_Olist__case(V_f1, V_f2, c_List_Olist_OCons(V_a, V_list, T_b), T_a, T_b) = hAPP(hAPP(V_f2, V_a), V_list)) )).
% 12.65/12.88  cnf(matrix-275, plain, ( ( c_List_Oremove1(V_x, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = V_xs) )).
% 12.65/12.88  cnf(matrix-276, plain, ( ( c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-277, plain, ( hBOOL(hAPP(hAPP(V_P, V_x), V_y)) | ~c_List_Olist__all2(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), c_List_Olist_OCons(V_y, V_ys, T_b), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-278, plain, ( ( c_List_Olist_OCons(V_x, c_List_Oappend(V_xa, V_zs, T_a), T_a) = c_List_Oappend(c_List_Olist_OCons(V_x, V_xa, T_a), V_zs, T_a)) )).
% 12.65/12.88  cnf(matrix-279, plain, ( ( c_List_Olist_OCons(V_x, c_List_Oappend(V_xs1, V_zs, T_a), T_a) = c_List_Oappend(c_List_Olist_OCons(V_x, V_xs1, T_a), V_zs, T_a)) )).
% 12.65/12.88  cnf(matrix-280, plain, ( ( c_List_Olast(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olast(V_xs, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-281, plain, ( ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OServer, T_a) = V_f1) )).
% 12.65/12.88  cnf(matrix-282, plain, ( c_List_Odistinct(c_List_Omap(V_f, V_xs, T_b, T_a), T_a) | ~c_Fun_Oinj__on(V_f, c_List_Oset(V_xs, T_b), T_b, T_a) | ~c_List_Odistinct(V_xs, T_b) )).
% 12.65/12.88  cnf(matrix-283, plain, ( ( c_List_Oappend(c_List_Otake(V_n, V_xs, T_a), c_List_Odrop(V_n, V_xs, T_a), T_a) = V_xs) )).
% 12.65/12.88  cnf(matrix-284, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(V_xs, T_a) | ~c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-285, plain, ( c_List_Odistinct(c_List_Odrop(V_i, V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-286, plain, ( c_List_Olist__all(V_P, V_xs, T_a) | ~c_List_Olist__all(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-287, plain, ( ( c_List_Oremdups(V_xs, T_a) != V_xs) | c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-288, plain, ( ( c_List_Oremdups(V_xs, T_a) = V_xs) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-289, plain, ( hBOOL(hAPP(V_P, V_x)) | ~c_List_Olist__all(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-290, plain, ( ( c_List_Ohd(c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Ohd(V_xs, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-291, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | c_List_Olist__all2(V_P, c_List_Oappend(V_xs, V_us, T_a), c_List_Oappend(V_ys, V_vs, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_us, V_vs, T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-292, plain, ( ( c_List_Olist_OCons(V_x, V_t, T_a) != V_t) )).
% 12.65/12.88  cnf(matrix-293, plain, ( ( V_xs != c_List_Olist_OCons(V_x, V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-294, plain, ( ( c_List_Orotate1(c_List_Olist_OCons(V_x, V_xs, T_b), T_b) = c_List_Oappend(V_xs, c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_b), T_b), T_b)) )).
% 12.65/12.88  cnf(matrix-295, plain, ( ( c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs, V_i, V_x, T_a), tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) )).
% 12.65/12.88  cnf(matrix-296, plain, ( ( c_List_Olist_OCons(V_x, V_xs, T_a) = c_List_Oappend(c_List_Olist_ONil(T_a), c_List_Olist_OCons(V_x, V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-297, plain, ( ( c_List_Omap(V_f, c_List_Olist__update(V_xs, V_k, V_y, T_b), T_b, T_a) = c_List_Olist__update(c_List_Omap(V_f, V_xs, T_b, T_a), V_k, hAPP(V_f, V_y), T_a)) )).
% 12.65/12.88  cnf(matrix-298, plain, ( ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OFriend(V_nat), T_a) = hAPP(V_f2, V_nat)) )).
% 12.65/12.88  cnf(matrix-299, plain, ( c_List_Olist__all(V_P, c_List_Oappend(V_xs, V_ys, T_a), T_a) | ~c_List_Olist__all(V_P, V_ys, T_a) | ~c_List_Olist__all(V_P, V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-300, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a) )).
% 12.65/12.88  cnf(matrix-301, plain, ( c_List_Odistinct(c_List_Otake(V_i, V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-302, plain, ( ( c_List_Oappend(c_List_Oreplicate(V_i, V_x, T_a), c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a) = c_List_Olist_OCons(V_x, c_List_Oreplicate(V_i, V_x, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-303, plain, ( ( c_List_Ofoldl(V_f, V_a, c_List_Oappend(V_xs, V_ys, T_b), T_a, T_b) = c_List_Ofoldl(V_f, c_List_Ofoldl(V_f, V_a, V_xs, T_a, T_b), V_ys, T_a, T_b)) )).
% 12.65/12.88  cnf(matrix-304, plain, ( c_List_Odistinct(V_xs, T_a) | ~c_List_Odistinct(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-305, plain, ( ( c_List_Ofilter(V_P, c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Oappend(c_List_Ofilter(V_P, V_xs, T_a), c_List_Ofilter(V_P, V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-306, plain, ( ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OFriend(V_nat_H)) | ( V_nat = V_nat_H) )).
% 12.65/12.88  cnf(matrix-307, plain, ( ( c_List_Oappend(c_List_Olist_ONil(T_a), c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-308, plain, ( ( c_List_Omap(V_f, V_xs, T_b, T_a) != c_List_Olist_ONil(T_a)) | ( V_xs = c_List_Olist_ONil(T_b)) )).
% 12.65/12.88  cnf(matrix-309, plain, ( c_List_Olist__all2(V_P, c_List_Olist_ONil(T_a), c_List_Olist_ONil(T_b), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-310, plain, ( ( V_xs = c_List_Olist_ONil(T_a)) | ~c_List_Onull(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-311, plain, ( ( c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-312, plain, ( ( V_ys != c_List_Oappend(V_xs, V_ys, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-313, plain, ( ( c_List_Oappend(V_xs, V_ys, T_a) != V_ys) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-314, plain, ( ( V_xs != c_List_Oappend(V_xs, V_ys, T_a)) | ( V_ys = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-315, plain, ( ( c_List_Oappend(V_xs, V_ys, T_a) != V_xs) | ( V_ys = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-316, plain, ( ( c_List_Oremdups(V_x, T_a) != c_List_Olist_ONil(T_a)) | ( V_x = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-317, plain, ( ( c_List_Orotate(V_n, V_xs, T_a) != c_List_Olist_ONil(T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-318, plain, ( ( V_xs = c_List_Olist_ONil(T_a)) | ~c_List_Olist__all2(V_P, V_xs, c_List_Olist_ONil(T_b), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-319, plain, ( ( V_ys = c_List_Olist_ONil(T_b)) | ~c_List_Olist__all2(V_P, c_List_Olist_ONil(T_a), V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-320, plain, ( c_List_Odistinct(c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-321, plain, ( ( c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H, V_list_H, T_a)) )).
% 12.65/12.88  cnf(matrix-322, plain, ( ( c_List_Oappend(V_xs, V_ys, T_a) != c_List_Olist_ONil(T_a)) | ( V_ys = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-323, plain, ( ( c_List_Oappend(V_xs, V_ys, T_a) != c_List_Olist_ONil(T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-324, plain, ( ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs, V_ys, T_a)) | ( V_ys = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-325, plain, ( ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs, V_ys, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-326, plain, ( ( c_List_Ofilter(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olist_OCons(V_x, c_List_Ofilter(V_P, V_xs, T_a), T_a)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-327, plain, ( c_List_Olistsp(V_A, V_xs, T_a) | ~c_List_Olistsp(V_A, c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-328, plain, ( c_List_Olistsp(V_A, V_ys, T_a) | ~c_List_Olistsp(V_A, c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-329, plain, ( ( c_List_Oreplicate(V_m, V_x, T_a) != c_List_Oreplicate(V_n, V_y, T_a)) | ( V_m = V_n) )).
% 12.65/12.88  cnf(matrix-330, plain, ( ( c_List_Oappend(V_ys, V_xs, T_a) != c_List_Oappend(V_zs, V_xs, T_a)) | ( V_ys = V_zs) )).
% 12.65/12.88  cnf(matrix-331, plain, ( ( c_List_Oappend(V_xs, V_ys, T_a) != c_List_Oappend(V_xs, V_zs, T_a)) | ( V_ys = V_zs) )).
% 12.65/12.88  cnf(matrix-332, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Otake(V_n, V_xs, T_a), T_a) | ~c_List_Olinorder__class_Osorted(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-333, plain, ( ( c_List_Ofilter(V_P, V_ys, T_a) != c_List_Olist_OCons(V_x, V_xs, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-334, plain, ( c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) | ~c_List_Olist__all2(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), c_List_Olist_OCons(V_y, V_ys, T_b), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-335, plain, ( ( c_List_Orotate(V_n, c_List_Omap(V_f, V_xs, T_b, T_a), T_a) = c_List_Omap(V_f, c_List_Orotate(V_n, V_xs, T_b), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-336, plain, ( c_List_Odistinct(V_xs, T_a) | ~c_List_Odistinct(c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-337, plain, ( c_List_Odistinct(V_ys, T_a) | ~c_List_Odistinct(c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-338, plain, ( ( c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs, T_a), tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) | ( c_List_Oremdups(V_xs, T_a) = V_xs) )).
% 12.65/12.88  cnf(matrix-339, plain, ( ( c_List_Oremdups(V_xs, T_a) != V_xs) | ( c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs, T_a), tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) )).
% 12.65/12.88  cnf(matrix-340, plain, ( ( V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), c_List_Oappend(V_xs, V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-341, plain, ( ( c_Nat_Osize__class_Osize(c_List_Omap(V_f, V_xs, T_b, T_a), tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_b))) )).
% 12.65/12.88  cnf(matrix-342, plain, ( c_List_Odistinct(c_List_OdropWhile(V_P, V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-343, plain, ( ( c_List_Omap(V_f, c_List_Oreplicate(V_n, V_x, T_b), T_b, T_a) = c_List_Oreplicate(V_n, hAPP(V_f, V_x), T_a)) )).
% 12.65/12.88  cnf(matrix-344, plain, ( ( c_List_Ofoldr(V_f, c_List_Oappend(V_xs, V_ys, T_b), V_a, T_b, T_a) = c_List_Ofoldr(V_f, V_xs, c_List_Ofoldr(V_f, V_ys, V_a, T_b, T_a), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-345, plain, ( c_List_Olist__ex(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-346, plain, ( ( c_List_OdropWhile(V_P, V_xs, T_a) != c_List_Olist_OCons(V_y, V_ys, T_a)) | ~hBOOL(hAPP(V_P, V_y)) )).
% 12.65/12.88  cnf(matrix-347, plain, ( c_List_Olist__all2(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), c_List_Olist_OCons(V_y, V_ys, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) | ~hBOOL(hAPP(hAPP(V_P, V_x), V_y)) )).
% 12.65/12.88  cnf(matrix-348, plain, ( c_List_Olist__all2(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), c_List_Olist_OCons(V_xa, V_xb, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, V_xb, T_a, T_b) | ~hBOOL(hAPP(hAPP(V_P, V_x), V_xa)) )).
% 12.65/12.88  cnf(matrix-349, plain, ( c_List_Olist__all2(V_P, c_List_Olist_OCons(V_x, V_xa, T_a), c_List_Olist_OCons(V_y, V_ys, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_xa, V_ys, T_a, T_b) | ~hBOOL(hAPP(hAPP(V_P, V_x), V_y)) )).
% 12.65/12.88  cnf(matrix-350, plain, ( c_List_Olist__ex(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) | ~c_List_Olist__ex(V_P, V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-351, plain, ( c_List_Olist__ex(V_P, V_xs, T_a) | hBOOL(hAPP(V_P, V_x)) | ~c_List_Olist__ex(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-352, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | ~c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-353, plain, ( ( c_List_Ofilter(V_P, c_List_Oreplicate(V_n, V_x, T_a), T_a) = c_List_Oreplicate(V_n, V_x, T_a)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-354, plain, ( c_List_Olistrelp(V_r, c_List_Olist_OCons(V_x, V_xs, T_a), c_List_Olist_OCons(V_y, V_ys, T_a), T_a) | ~c_List_Olistrelp(V_r, V_xs, V_ys, T_a) | ~hBOOL(hAPP(hAPP(V_r, V_x), V_y)) )).
% 12.65/12.88  cnf(matrix-355, plain, ( ( c_List_Oremove1(V_x, c_List_Olist_OCons(V_y, V_xs, T_a), T_a) = c_List_Olist_OCons(V_y, c_List_Oremove1(V_x, V_xs, T_a), T_a)) | ( V_x = V_y) )).
% 12.65/12.88  cnf(matrix-356, plain, ( c_List_Odistinct(c_List_Osublist(V_xs, V_I, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-357, plain, ( ( c_List_Omap(V_f, V_xs, T_b, T_a) != c_List_Omap(V_f, V_ys, T_b, T_a)) | ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) )).
% 12.65/12.88  cnf(matrix-358, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | ( c_Map_Omap__upds(V_m, c_List_Oappend(V_xs, V_zs, T_a), V_ys, T_a, T_b) = c_Map_Omap__upds(V_m, V_xs, V_ys, T_a, T_b)) )).
% 12.65/12.88  cnf(matrix-359, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | ( c_Map_Omap__upds(V_m, V_xs, c_List_Oappend(V_ys, V_zs, T_b), T_a, T_b) = c_Map_Omap__upds(V_m, V_xs, V_ys, T_a, T_b)) )).
% 12.65/12.88  cnf(matrix-360, plain, ( ( V_xs != c_List_Otake(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_zs, T_a)) | ( c_List_Oappend(V_xs, c_List_Odrop(c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_zs, T_a), T_a) = V_zs) )).
% 12.65/12.88  cnf(matrix-361, plain, ( c_List_Odistinct(c_List_Oremove1(V_x, V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-362, plain, ( ( c_Event_Oevent_OGets(V_agent, V_msg) != c_Event_Oevent_OGets(V_agent_H, V_msg_H)) | ( V_msg = V_msg_H) )).
% 12.65/12.88  cnf(matrix-363, plain, ( ( c_Event_Oevent_OGets(V_agent, V_msg) != c_Event_Oevent_OGets(V_agent_H, V_msg_H)) | ( V_agent = V_agent_H) )).
% 12.65/12.88  cnf(matrix-364, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) | ~c_List_Olist__all2(V_P, c_List_Oappend(V_xs, V_us, T_a), c_List_Oappend(V_ys, V_vs, T_b), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-365, plain, ( ( c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_ys, tc_List_Olist(T_b))) | c_List_Olist__all2(V_P, V_us, V_vs, T_a, T_b) | ~c_List_Olist__all2(V_P, c_List_Oappend(V_xs, V_us, T_a), c_List_Oappend(V_ys, V_vs, T_b), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-366, plain, ( ( c_List_OdropWhile(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_OdropWhile(V_P, V_xs, T_a)) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-367, plain, ( ( c_Nat_Osize__class_Osize(c_List_Orotate(V_n, V_xs, T_a), tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) )).
% 12.65/12.88  cnf(matrix-368, plain, ( ( c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs, T_a), tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) )).
% 12.65/12.88  cnf(matrix-369, plain, ( ( c_List_Olast(c_List_Oappend(V_xs, V_ys, T_a), T_a) = c_List_Olast(V_ys, T_a)) | ( V_ys = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-370, plain, ( ( c_List_OdropWhile(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olist_OCons(V_x, V_xs, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-371, plain, ( ( c_List_Omap(V_f, c_List_Oappend(V_xs, V_ys, T_b), T_b, T_a) = c_List_Oappend(c_List_Omap(V_f, V_xs, T_b, T_a), c_List_Omap(V_f, V_ys, T_b, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-372, plain, ( ~hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OServer, t_a))) | hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-373, plain, ( ( c_List_Oappend(c_List_Oreplicate(V_n, V_x, T_a), c_List_Oreplicate(V_k, V_x, T_a), T_a) = c_List_Oappend(c_List_Oreplicate(V_k, V_x, T_a), c_List_Oreplicate(V_n, V_x, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-374, plain, ( c_List_Olist__all2(V_P, c_List_Odrop(V_n, V_as, T_a), c_List_Odrop(V_n, V_bs, T_b), T_a, T_b) | ~c_List_Olist__all2(V_P, V_as, V_bs, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-375, plain, ( ( c_List_Oset(c_List_Orotate1(V_xs, T_a), T_a) = c_List_Oset(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-376, plain, ( ( c_List_Oremove1(V_x, c_List_Ofilter(V_P, V_xs, T_a), T_a) = c_List_Ofilter(V_P, V_xs, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-377, plain, ( ( c_List_Ofilter(V_P, c_List_Oreplicate(V_n, V_x, T_a), T_a) = c_List_Olist_ONil(T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-378, plain, ( ( c_List_Olist_Olist__rec(V_f1, V_f2, c_List_Olist_OCons(V_a, V_list, T_b), T_a, T_b) = hAPP(hAPP(hAPP(V_f2, V_a), V_list), c_List_Olist_Olist__rec(V_f1, V_f2, V_list, T_a, T_b))) )).
% 12.65/12.88  cnf(matrix-379, plain, ( ( c_List_Oset(c_List_Orotate(V_n, V_xs, T_a), T_a) = c_List_Oset(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-380, plain, ( c_List_Odistinct(V_xs, T_b) | ~c_List_Odistinct(c_List_Omap(V_f, V_xs, T_b, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-381, plain, ( ( c_List_Olast(c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a) = V_x) )).
% 12.65/12.88  cnf(matrix-382, plain, ( ( c_List_Olast(c_List_Oappend(V_xs, c_List_Olist_ONil(T_a), T_a), T_a) = c_List_Olast(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-383, plain, ( c_List_Odistinct(V_xs, T_a) | ~c_List_Odistinct(c_List_Orotate(V_n, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-384, plain, ( c_List_Odistinct(c_List_Orotate(V_n, V_xs, T_a), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-385, plain, ( c_List_Olistsp(V_A, c_List_Oappend(V_xs, V_ys, T_a), T_a) | ~c_List_Olistsp(V_A, V_ys, T_a) | ~c_List_Olistsp(V_A, V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-386, plain, ( ( c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n, V_x, T_a), tc_List_Olist(T_a)) = V_n) )).
% 12.65/12.88  cnf(matrix-387, plain, ( ~hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OFriend(V_nat), t_a))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_nat))) )).
% 12.65/12.88  cnf(matrix-388, plain, ( ~hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OFriend(V_xa), t_a))) | hBOOL(hAPP(V_P, hAPP(V_f2, V_xa))) )).
% 12.65/12.88  cnf(matrix-389, plain, ( ~c_List_Onull(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-390, plain, ( ( c_List_Ofoldr(V_f, c_List_Olist_OCons(V_x, V_xs, T_b), V_a, T_b, T_a) = hAPP(hAPP(V_f, V_x), c_List_Ofoldr(V_f, V_xs, V_a, T_b, T_a))) )).
% 12.65/12.88  cnf(matrix-391, plain, ( ( c_List_Olast(c_List_Oappend(V_xs, c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a), T_a) = V_x) )).
% 12.65/12.88  cnf(matrix-392, plain, ( ( c_Message_Oagent_Oagent__rec(V_f1, V_f2, V_f3, c_Message_Oagent_OFriend(V_nat), T_a) = hAPP(V_f2, V_nat)) )).
% 12.65/12.88  cnf(matrix-393, plain, ( ( c_List_Olist__update(c_List_Oappend(V_xs, c_List_Olist_OCons(V_x, V_ys, T_a), T_a), c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a)), V_y, T_a) = c_List_Oappend(V_xs, c_List_Olist_OCons(V_y, V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-394, plain, ( ( c_List_Oappend(c_List_Olist_ONil(T_a), c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olist_OCons(V_x, V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-395, plain, ( c_List_Odistinct(c_List_Oremdups(V_xs, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-396, plain, ( ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), V_xs_092_060_094isub_0621, T_a), c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, 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) | ( c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621, tc_List_Olist(T_a)), V_xs_092_060_094isub_0621, T_a) != V_ys_092_060_094isub_0621) | ( V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), V_ys_092_060_094isub_0621, T_a)) | ( c_List_Oappend(V_xs_092_060_094isub_0621, c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621, tc_List_Olist(T_a)), V_ys_092_060_094isub_0621, T_a), V_ys_092_060_094isub_0622, T_a), T_a) = c_List_Oappend(V_ys_092_060_094isub_0621, V_ys_092_060_094isub_0622, T_a)) )).
% 12.65/12.88  cnf(matrix-397, plain, ( ( c_List_Olist_OCons(V_a, V_list, T_a) != c_List_Olist_OCons(V_a_H, V_list_H, T_a)) | ( V_a = V_a_H) )).
% 12.65/12.88  cnf(matrix-398, plain, ( ( c_List_Olist_OCons(V_a, V_list, T_a) != c_List_Olist_OCons(V_a_H, V_list_H, T_a)) | ( V_list = V_list_H) )).
% 12.65/12.88  cnf(matrix-399, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(V_xs, T_a) | ~c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-400, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(V_ys, T_a) | ~c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-401, plain, ( c_List_Olist__all(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) | ~c_List_Olist__all(V_P, V_xs, T_a) | ~hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-402, plain, ( ( c_List_Olist__update(c_List_Olist__update(V_xs, V_i, V_x, T_a), V_i_H, V_x_H, T_a) = c_List_Olist__update(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) )).
% 12.65/12.88  cnf(matrix-403, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l, T_a), T_a) | ~c_List_Olinorder__class_Osorted(V_l, T_a) )).
% 12.65/12.88  cnf(matrix-404, plain, ( ( c_List_Oappend(c_List_Oreplicate(V_n, V_x, T_a), c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Olist_OCons(V_x, c_List_Oappend(c_List_Oreplicate(V_n, V_x, T_a), V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-405, plain, ( ( c_List_Odrop(V_n, c_List_Omap(V_f, V_xs, T_b, T_a), T_a) = c_List_Omap(V_f, c_List_Odrop(V_n, V_xs, T_b), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-406, plain, ( ( c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a), V_ys, T_a), T_a) = c_List_Ohd(V_ys, T_a)) )).
% 12.65/12.88  cnf(matrix-407, plain, ( ( c_Message_Oagent_Oagent__rec(V_f1, V_f2, V_f3, c_Message_Oagent_OServer, T_a) = V_f1) )).
% 12.65/12.88  cnf(matrix-408, plain, ( ( c_List_Ofilter(V_P, c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = c_List_Ofilter(V_P, V_xs, T_a)) | hBOOL(hAPP(V_P, V_x)) )).
% 12.65/12.88  cnf(matrix-409, plain, ( ( c_List_Ohd(c_List_Olist_OCons(V_x, V_xs, T_a), T_a) = V_x) )).
% 12.65/12.88  cnf(matrix-410, plain, ( c_List_Olist__all2(c_fequal(T_a), V_x, V_x, T_a, T_a) )).
% 12.65/12.88  cnf(matrix-411, plain, ( ( c_List_Oappend(V_xs, c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a) != c_List_Oappend(V_ys, c_List_Olist_OCons(V_y, c_List_Olist_ONil(T_a), T_a), T_a)) | ( V_xs = V_ys) )).
% 12.65/12.88  cnf(matrix-412, plain, ( ( c_List_Oappend(V_xs, c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a) != c_List_Oappend(V_ys, c_List_Olist_OCons(V_y, c_List_Olist_ONil(T_a), T_a), T_a)) | ( V_x = V_y) )).
% 12.65/12.88  cnf(matrix-413, plain, ( c_List_Olist__all(V_P, V_xs, T_a) | ~c_List_Olist__all(V_P, c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-414, plain, ( c_List_Olist__all(V_P, V_ys, T_a) | ~c_List_Olist__all(V_P, c_List_Oappend(V_xs, V_ys, T_a), T_a) )).
% 12.65/12.88  cnf(matrix-415, plain, ( ( c_List_Orotate1(c_List_Orotate(V_n, V_xs, T_a), T_a) = c_List_Orotate(V_n, c_List_Orotate1(V_xs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-416, plain, ( ~hBOOL(hAPP(V_P, c_List_Olist_Olist__case(V_f1, V_f2, c_List_Olist_OCons(V_a, V_list, t_b), t_a, t_b))) | hBOOL(hAPP(V_P, hAPP(hAPP(V_f2, V_a), V_list))) )).
% 12.65/12.88  cnf(matrix-417, plain, ( ~hBOOL(hAPP(V_P, c_List_Olist_Olist__case(V_f1, V_f2, c_List_Olist_OCons(V_xa, V_xb, t_b), t_a, t_b))) | hBOOL(hAPP(V_P, hAPP(hAPP(V_f2, V_xa), V_xb))) )).
% 12.65/12.88  cnf(matrix-418, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_OdropWhile(V_P, V_xs, T_a), T_a) | ~c_List_Olinorder__class_Osorted(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-419, plain, ( ( c_List_Olist__update(c_List_Olist__update(V_xs, V_i, V_x, T_a), V_i, V_y, T_a) = c_List_Olist__update(V_xs, V_i, V_y, T_a)) )).
% 12.65/12.88  cnf(matrix-420, plain, ( ( c_List_Oappend(c_List_Oappend(V_xs, V_ys, T_a), V_zs, T_a) = c_List_Oappend(V_xs, c_List_Oappend(V_ys, V_zs, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-421, plain, ( ( c_List_Oappend(V_xs, c_List_Oappend(V_xs1, V_us, T_a), T_a) = c_List_Oappend(c_List_Oappend(V_xs, V_xs1, T_a), V_us, T_a)) )).
% 12.65/12.88  cnf(matrix-422, plain, ( ( c_List_Oappend(c_List_Oappend(V_zs, V_x, T_a), V_ys, T_a) = c_List_Oappend(V_zs, c_List_Oappend(V_x, V_ys, T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-423, plain, ( ( c_List_Oappend(V_xs, c_List_Oappend(V_x, V_ts, T_a), T_a) = c_List_Oappend(c_List_Oappend(V_xs, V_x, T_a), V_ts, T_a)) )).
% 12.65/12.88  cnf(matrix-424, plain, ( ( c_List_Oset(c_List_Oremdups(V_xs, T_a), T_a) = c_List_Oset(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-425, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a, V_xs, T_a), T_a) | ~c_List_Olinorder__class_Osorted(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-426, plain, ( ( c_List_Ofoldl(V_f, V_a, c_List_Olist_ONil(T_b), T_a, T_b) = V_a) )).
% 12.65/12.88  cnf(matrix-427, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xlistsum__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-428, plain, ( ( c_List_Oremdups(c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-429, plain, ( ( c_List_Odrop(V_n, c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-430, plain, ( ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f, V_xs, T_b, T_a)) | ( V_xs = c_List_Olist_ONil(T_b)) )).
% 12.65/12.88  cnf(matrix-431, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__XremoveAll__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-432, plain, ( ( c_List_Olist__inter(c_List_Olist_ONil(T_a), V_bs, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-433, plain, ( ( c_List_OdropWhile(V_P, c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-434, plain, ( ( V_ys = c_List_Oappend(c_List_Olist_ONil(T_a), V_ys, T_a)) )).
% 12.65/12.88  cnf(matrix-435, plain, ( ( c_List_Oappend(c_List_Olist_ONil(T_a), V_ys, T_a) = V_ys) )).
% 12.65/12.88  cnf(matrix-436, plain, ( ( V_xs = c_List_Oappend(V_xs, c_List_Olist_ONil(T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-437, plain, ( ( V_x = c_List_Oappend(c_List_Olist_ONil(T_a), V_x, T_a)) )).
% 12.65/12.88  cnf(matrix-438, plain, ( ( c_List_Oappend(V_xs, c_List_Olist_ONil(T_a), T_a) = V_xs) )).
% 12.65/12.88  cnf(matrix-439, plain, ( ( c_List_Orotate1(V_xs, T_a) != c_List_Olist_ONil(T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-440, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xlast__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-441, plain, ( ( c_List_Otake(V_n, c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-442, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__XtakeWhile__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-443, plain, ( c_List_Olistsp(V_A, c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-444, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xlist__update__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-445, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xfoldl__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-446, plain, ( c_List_Olist__all(V_P, c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-447, plain, ( ( c_List_Orotate1(c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-448, plain, ( ~c_List_Olist__ex(V_P, c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-449, plain, ( c_List_Onull(c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-450, plain, ( ~hBOOL(hAPP(V_P, c_List_Olist_Olist__case(V_f1, V_f2, c_List_Olist_ONil(t_b), t_a, t_b))) | hBOOL(hAPP(V_P, V_f1)) )).
% 12.65/12.88  cnf(matrix-451, plain, ( ( c_List_Ofoldr(V_f, c_List_Olist_ONil(T_b), V_a, T_b, T_a) = V_a) )).
% 12.65/12.88  cnf(matrix-452, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xzip__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-453, plain, ( ( c_List_Omap(V_f, c_List_Olist_ONil(T_b), T_b, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-454, plain, ( ( c_List_Osublist(c_List_Olist_ONil(T_a), V_A, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-455, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xlistset__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-456, plain, ( ( c_List_Olist_Olist__rec(V_f1, V_f2, c_List_Olist_ONil(T_b), T_a, T_b) = V_f1) )).
% 12.65/12.88  cnf(matrix-457, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__XdropWhile__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-458, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xtake__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-459, plain, ( ~class_Orderings_Olinorder(T_a) | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-460, plain, ( ( c_List_Ofiltermap(V_f, c_List_Olist_ONil(T_b), T_b, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-461, plain, ( ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x, T_a)) | ( V_x = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-462, plain, ( ( c_List_Ofilter(V_P, c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-463, plain, ( ( c_List_Olist__update(c_List_Olist_ONil(T_a), V_k, V_x, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-464, plain, ( ( c_List_Olist__update(c_List_Olist_ONil(T_a), V_i, V_y, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-465, plain, ( ( c_List_Olist__update(c_List_Olist_ONil(T_a), V_i, V_v, T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-466, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xconcat__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-467, plain, ( ( c_List_Olist_OCons(V_x, V_xa, T_a) != c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-468, plain, ( ( c_List_Olist_OCons(V_a_H, V_list_H, T_a) != c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-469, plain, ( ( c_List_Oremove1(V_x, c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-470, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xdistinct__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-471, plain, ( ( c_Map_Omap__upds(V_m, V_as, c_List_Olist_ONil(T_b), T_a, T_b) = V_m) )).
% 12.65/12.88  cnf(matrix-472, plain, ( ( c_Map_Omap__upds(V_m, c_List_Olist_ONil(T_a), V_bs, T_a, T_b) = V_m) )).
% 12.65/12.88  cnf(matrix-473, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xremove1__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-474, plain, ( ( c_List_Olist_Olist__case(V_f1, V_f2, c_List_Olist_ONil(T_b), T_a, T_b) = V_f1) )).
% 12.65/12.88  cnf(matrix-475, plain, ( ( c_List_Orotate(V_n, c_List_Olist_ONil(T_a), T_a) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-476, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xlist__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-477, plain, ( ( c_List_Olist_ONil(T_a) = c_List_Omap(V_f, c_List_Olist_ONil(T_b), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-478, plain, ( ( c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a), c_List_Olist_ONil(T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-479, plain, ( c_List_Olistrelp(V_r, c_List_Olist_ONil(T_a), c_List_Olist_ONil(T_a), T_a) )).
% 12.65/12.88  cnf(matrix-480, plain, ( hBOOL(hAPP(V_P, V_list)) | hBOOL(hAPP(V_P, v_sko__List__Xmap__Xinduct__2(V_P))) | ~hBOOL(hAPP(V_P, c_List_Olist_ONil(t_a))) )).
% 12.65/12.88  cnf(matrix-481, plain, ( ( c_List_Olist__update(V_xs, V_k, V_x, T_a) != c_List_Olist_ONil(T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-482, plain, ( ( c_List_Ohd(hAPP(c_List_Orev(T_a), V_xs), T_a) = c_List_Olast(V_xs, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-483, plain, ( ( c_List_Olast(hAPP(c_List_Orev(T_a), V_xs), T_a) = c_List_Ohd(V_xs, T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-484, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Olist_OCons(V_x, V_xs, T_a)) = c_List_Oappend(hAPP(c_List_Orev(T_a), V_xs), c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-485, plain, ( ( hAPP(c_List_Orev(T_a), V_xs) != c_List_Olist_OCons(V_y, V_ys, T_a)) | ( V_xs = c_List_Oappend(hAPP(c_List_Orev(T_a), V_ys), c_List_Olist_OCons(V_y, c_List_Olist_ONil(T_a), T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-486, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Oappend(hAPP(c_List_Orev(T_a), V_ys), c_List_Olist_OCons(V_y, c_List_Olist_ONil(T_a), T_a), T_a)) = c_List_Olist_OCons(V_y, V_ys, T_a)) )).
% 12.65/12.88  cnf(matrix-487, plain, ( ( c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OSpy, T_a) = V_f3) )).
% 12.65/12.88  cnf(matrix-488, plain, ( ( c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy) )).
% 12.65/12.88  cnf(matrix-489, plain, ( ( c_Message_Oagent_Oagent__rec(V_f1, V_f2, V_f3, c_Message_Oagent_OSpy, T_a) = V_f3) )).
% 12.65/12.88  cnf(matrix-490, plain, ( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy) )).
% 12.65/12.88  cnf(matrix-491, plain, ( ~hBOOL(hAPP(V_P, c_Message_Oagent_Oagent__case(V_f1, V_f2, V_f3, c_Message_Oagent_OSpy, t_a))) | hBOOL(hAPP(V_P, V_f3)) )).
% 12.65/12.88  cnf(matrix-492, plain, ( ( c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat)) )).
% 12.65/12.88  cnf(matrix-493, plain, ( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer) )).
% 12.65/12.88  cnf(matrix-494, plain, ( ( c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_OCons(c_Event_Oevent_OGets(V_A, V_X), V_evs, tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)) )).
% 12.65/12.88  cnf(matrix-495, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Ofilter(V_P, V_xs, T_a)) = c_List_Ofilter(V_P, hAPP(c_List_Orev(T_a), V_xs), T_a)) )).
% 12.65/12.88  cnf(matrix-496, plain, ( ( c_Nat_Osize__class_Osize(hAPP(c_List_Orev(T_a), V_xs), tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs, tc_List_Olist(T_a))) )).
% 12.65/12.88  cnf(matrix-497, plain, ( c_List_Olist__all(V_P, hAPP(c_List_Orev(T_a), V_xs), T_a) | ~c_List_Olist__all(V_P, V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-498, plain, ( c_List_Olist__all(V_P, V_xs, T_a) | ~c_List_Olist__all(V_P, hAPP(c_List_Orev(T_a), V_xs), T_a) )).
% 12.65/12.88  cnf(matrix-499, plain, ( ~class_OrderedGroup_Ocomm__monoid__add(T_a) | ( c_List_Olistsum(hAPP(c_List_Orev(T_a), V_xs), T_a) = c_List_Olistsum(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-500, plain, ( ( c_List_Oset(hAPP(c_List_Orev(T_a), V_xs), T_a) = c_List_Oset(V_xs, T_a)) )).
% 12.65/12.88  cnf(matrix-501, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Oreplicate(V_n, V_x, T_a)) = c_List_Oreplicate(V_n, V_x, T_a)) )).
% 12.65/12.88  cnf(matrix-502, plain, ( c_List_Olist__all2(V_P, hAPP(c_List_Orev(T_a), V_xs), hAPP(c_List_Orev(T_b), V_ys), T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-503, plain, ( c_List_Olist__all2(V_P, V_xs, V_ys, T_a, T_b) | ~c_List_Olist__all2(V_P, hAPP(c_List_Orev(T_a), V_xs), hAPP(c_List_Orev(T_b), V_ys), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-504, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Omap(V_f, V_xs, T_b, T_a)) = c_List_Omap(V_f, hAPP(c_List_Orev(T_b), V_xs), T_b, T_a)) )).
% 12.65/12.88  cnf(matrix-505, plain, ( c_Fun_Oinj__on(c_List_Orev(T_a), V_A, tc_List_Olist(T_a), tc_List_Olist(T_a)) )).
% 12.65/12.88  cnf(matrix-506, plain, ( c_List_Odistinct(hAPP(c_List_Orev(T_a), V_xs), T_a) | ~c_List_Odistinct(V_xs, T_a) )).
% 12.65/12.88  cnf(matrix-507, plain, ( c_List_Odistinct(V_xs, T_a) | ~c_List_Odistinct(hAPP(c_List_Orev(T_a), V_xs), T_a) )).
% 12.65/12.88  cnf(matrix-508, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Oappend(V_xs, V_ys, T_a)) = c_List_Oappend(hAPP(c_List_Orev(T_a), V_ys), hAPP(c_List_Orev(T_a), V_xs), T_a)) )).
% 12.65/12.88  cnf(matrix-509, plain, ( c_List_Olist__all2(V_P, hAPP(c_List_Orev(T_a), V_xs), V_ys, T_a, T_b) | ~c_List_Olist__all2(V_P, V_xs, hAPP(c_List_Orev(T_b), V_ys), T_a, T_b) )).
% 12.65/12.88  cnf(matrix-510, plain, ( c_List_Olist__all2(V_P, V_xs, hAPP(c_List_Orev(T_b), V_ys), T_a, T_b) | ~c_List_Olist__all2(V_P, hAPP(c_List_Orev(T_a), V_xs), V_ys, T_a, T_b) )).
% 12.65/12.88  cnf(matrix-511, plain, ( ( c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Oappend(V_evs, c_List_Olist_OCons(c_Event_Oevent_OGets(V_A, V_X), c_List_Olist_ONil(tc_Event_Oevent), tc_Event_Oevent), tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)) )).
% 12.65/12.88  cnf(matrix-512, plain, ( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) )).
% 12.65/12.88  cnf(matrix-513, plain, ( ( hAPP(c_List_Orev(T_a), V_xs) != c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a)) | ( V_xs = c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-514, plain, ( ( c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a) != hAPP(c_List_Orev(T_a), V_xs)) | ( V_xs = c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-515, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a)) = c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a)) )).
% 12.65/12.88  cnf(matrix-516, plain, ( ( c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a) = hAPP(c_List_Orev(T_a), c_List_Olist_OCons(V_x, c_List_Olist_ONil(T_a), T_a))) )).
% 12.65/12.88  cnf(matrix-517, plain, ( ( c_Event_Oknows(V_A, c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(V_A)) )).
% 12.65/12.88  cnf(matrix-518, plain, ( ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a), c_List_Olist_ONil(T_a))) )).
% 12.65/12.88  cnf(matrix-519, plain, ( ( c_List_Olist_ONil(T_a) != hAPP(c_List_Orev(T_a), V_xs)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-520, plain, ( ( hAPP(c_List_Orev(T_a), V_xs) != hAPP(c_List_Orev(T_a), V_ys)) | ( V_xs = V_ys) )).
% 12.65/12.88  cnf(matrix-521, plain, ( ( hAPP(c_List_Orev(T_a), hAPP(c_List_Orev(T_a), V_xs)) = V_xs) )).
% 12.65/12.88  cnf(matrix-522, plain, ( ( hAPP(c_List_Orev(T_a), hAPP(c_List_Orev(T_a), V_ys)) = V_ys) )).
% 12.65/12.88  cnf(matrix-523, plain, ( ( V_xs = hAPP(c_List_Orev(T_a), hAPP(c_List_Orev(T_a), V_xs))) )).
% 12.65/12.88  cnf(matrix-524, plain, ( ( hAPP(c_List_Orev(T_a), V_xs) != c_List_Olist_ONil(T_a)) | ( V_xs = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-525, plain, ( ( hAPP(c_List_Orev(T_a), c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)) )).
% 12.65/12.88  cnf(matrix-526, plain, ( ( c_Event_Oknows(c_Message_Oagent_OSpy, c_List_Olist_ONil(tc_Event_Oevent)) != c_Event_Oknows(c_Message_Oagent_OSpy, hAPP(c_List_Orev(tc_Event_Oevent), c_List_Olist_ONil(tc_Event_Oevent)))) )).
% 12.65/12.88  cnf(matrix-527, plain, ( class_Orderings_Opreorder(tc_fun(T_2, T_1)) | ~class_Orderings_Opreorder(T_1) )).
% 12.65/12.88  cnf(matrix-528, plain, ( class_Orderings_Oorder(tc_fun(T_2, T_1)) | ~class_Orderings_Oorder(T_1) )).
% 12.65/12.88  cnf(matrix-529, plain, ( class_HOL_Oord(tc_fun(T_2, T_1)) | ~class_HOL_Oord(T_1) )).
% 12.65/12.88  cnf(matrix-530, plain, ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) )).
% 12.65/12.88  cnf(matrix-531, plain, ( class_Divides_Osemiring__div(tc_nat) )).
% 12.65/12.88  cnf(matrix-532, plain, ( class_Orderings_Opreorder(tc_nat) )).
% 12.65/12.88  cnf(matrix-533, plain, ( class_Orderings_Olinorder(tc_nat) )).
% 12.65/12.88  cnf(matrix-534, plain, ( class_Orderings_Oorder(tc_nat) )).
% 12.65/12.88  cnf(matrix-535, plain, ( class_HOL_Oord(tc_nat) )).
% 12.65/12.88  cnf(matrix-536, plain, ( class_Orderings_Opreorder(tc_bool) )).
% 12.65/12.88  cnf(matrix-537, plain, ( class_Orderings_Oorder(tc_bool) )).
% 12.65/12.88  cnf(matrix-538, plain, ( class_HOL_Oord(tc_bool) )).
% 12.65/12.88  cnf(matrix-539, plain, ( hBOOL(hAPP(hAPP(c_fequal(T_a), V_x), V_x)) )).
% 12.65/12.88  cnf(matrix-540, plain, ( ( V_X = V_Y) | ~hBOOL(hAPP(hAPP(c_fequal(T_a), V_X), V_Y)) )).
% 12.65/12.88  
% 12.65/12.88  % Proof stack:
% 12.65/12.88  cnf(proof-stack, plain, 
% 12.65/12.88  proof_stack(
% 12.65/12.88  start(526), 
% 12.65/12.88  left_branch(0, 3, 2, 2), 
% 12.65/12.88  left_branch(0, 0, 0, 3), 
% 12.65/12.88  right_branch(3), 
% 12.65/12.88  left_branch(0, 518, 0, 4), 
% 12.65/12.88  right_branch(4), 
% 12.65/12.88  right_branch(2)
% 12.65/12.88  )).
% 12.65/12.88  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------