TSTP Solution File: SWV779-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV779-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:21:57 EDT 2022
% Result : Unsatisfiable 155.43s 155.71s
% Output : CNFRefutation 155.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 444
% Syntax : Number of formulae : 3063 (1165 unt; 0 def)
% Number of atoms : 6241 (2637 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 5861 (2683 ~;3178 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 82 ( 82 usr; 8 con; 0-5 aty)
% Number of variables : 10500 (1198 sgn4467 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X33,X29,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_List_Olist_Olist__case(X24,X23,c_List_Olist_OCons(X29,X33,t_b),t_a,t_b)))
| hBOOL(hAPP(X25,hAPP(hAPP(X23,X29),X33))) ),
file('<stdin>',cls_list_Osplit__asm_1) ).
fof(c_0_1,axiom,
! [X54,X23,X24,X37,X25] :
( ~ hBOOL(hAPP(X25,c_List_Olist_Olist__case(X24,X23,c_List_Olist_OCons(X37,X54,t_b),t_a,t_b)))
| hBOOL(hAPP(X25,hAPP(hAPP(X23,X37),X54))) ),
file('<stdin>',cls_list_Osplit_1) ).
fof(c_0_2,axiom,
! [X29,X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OFriend(X29),t_a)))
| hBOOL(hAPP(X25,hAPP(X23,X29))) ),
file('<stdin>',cls_agent_Osplit__asm_1) ).
fof(c_0_3,axiom,
! [X61,X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OFriend(X61),t_a)))
| hBOOL(hAPP(X25,hAPP(X23,X61))) ),
file('<stdin>',cls_agent_Osplit_1) ).
fof(c_0_4,axiom,
! [X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_List_Olist_Olist__case(X24,X23,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_list_Osplit_0) ).
fof(c_0_5,axiom,
! [X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OSpy,t_a)))
| hBOOL(hAPP(X25,X22)) ),
file('<stdin>',cls_agent_Osplit_2) ).
fof(c_0_6,axiom,
! [X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OServer,t_a)))
| hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit_0) ).
fof(c_0_7,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit__asm_10) ).
fof(c_0_8,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit_10) ).
fof(c_0_9,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit__asm_6) ).
fof(c_0_10,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit_6) ).
fof(c_0_11,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit_9) ).
fof(c_0_12,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit__asm_9) ).
fof(c_0_13,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit__asm_5) ).
fof(c_0_14,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit_5) ).
fof(c_0_15,axiom,
! [X20,X13,X29,X21,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X29,tc_List_Olist(X32)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X15))
| c_Nat_Osize__class_Osize(X21,tc_List_Olist(X32)) != c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15))
| c_List_Olist__all2(X25,c_List_Oappend(X13,X20,X15),c_List_Oappend(X21,X29,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X20,X29,X15,X32)
| ~ c_List_Olist__all2(X25,X13,X21,X15,X32) ),
file('<stdin>',cls_list__all2__append1_5) ).
fof(c_0_16,axiom,
! [X51,X20,X29,X21,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X29,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X51,tc_List_Olist(X32))
| c_Nat_Osize__class_Osize(X21,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,c_List_Oappend(X21,X29,X15),c_List_Oappend(X20,X51,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X29,X51,X15,X32)
| ~ c_List_Olist__all2(X25,X21,X20,X15,X32) ),
file('<stdin>',cls_list__all2__append2_5) ).
fof(c_0_17,axiom,
! [X20,X13,X58,X59,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,c_List_Oappend(X13,X59,X15),c_List_Oappend(X20,X58,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X59,X58,X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
file('<stdin>',cls_list__all2__append_2) ).
fof(c_0_18,axiom,
! [X56,X35,X36,X37,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Oappend(X37,X35,X15),c_List_Oappend(X36,X56,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X35,X56,X15,X32)
| ~ c_List_Olist__all2(X25,X37,X36,X15,X32) ),
file('<stdin>',cls_list__all2__appendI_0) ).
fof(c_0_19,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit_8) ).
fof(c_0_20,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit__asm_8) ).
fof(c_0_21,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit__asm_4) ).
fof(c_0_22,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit_4) ).
fof(c_0_23,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit_7) ).
fof(c_0_24,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
file('<stdin>',cls_agent_Osplit__asm_7) ).
fof(c_0_25,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit_3) ).
fof(c_0_26,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Osplit__asm_3) ).
fof(c_0_27,axiom,
! [X20,X13,X31,X37,X32,X15] : c_List_Ofoldr(X31,c_List_Oappend(X13,X20,X32),X37,X32,X15) = c_List_Ofoldr(X31,X13,c_List_Ofoldr(X31,X20,X37,X32,X15),X32,X15),
file('<stdin>',cls_foldr__append_0) ).
fof(c_0_28,axiom,
! [X20,X13,X31,X37,X32,X15] : c_List_Ofoldl(X31,X37,c_List_Oappend(X13,X20,X32),X15,X32) = c_List_Ofoldl(X31,c_List_Ofoldl(X31,X37,X13,X15,X32),X20,X15,X32),
file('<stdin>',cls_foldl__append_0) ).
fof(c_0_29,axiom,
! [X21,X26,X27,X28,X22,X23,X24,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X21,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X21,X23,X27,X15))
| X21 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X24,X23,X22,X21,X15) = c_Message_Oagent_Oagent__case(X28,X27,X26,X21,X15)
| X21 = c_Message_Oagent_OSpy ),
file('<stdin>',cls_agent_Ocase__cong_2) ).
fof(c_0_30,axiom,
! [X29,X21,X27,X28,X23,X24,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15))
| X29 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X24,X23,X21,X29,X15) = c_Message_Oagent_Oagent__case(X28,X27,X21,X29,X15) ),
file('<stdin>',cls_agent_Ocase__cong_3) ).
fof(c_0_31,axiom,
! [X29,X21,X26,X27,X22,X23,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15))
| c_Message_Oagent_Oagent__case(X21,X23,X22,X29,X15) = c_Message_Oagent_Oagent__case(X21,X27,X26,X29,X15)
| X29 = c_Message_Oagent_OSpy ),
file('<stdin>',cls_agent_Ocase__cong_6) ).
fof(c_0_32,axiom,
! [X33,X29,X21,X27,X23,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X33,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X33,X23,X27,X15))
| c_Message_Oagent_Oagent__case(X29,X23,X21,X33,X15) = c_Message_Oagent_Oagent__case(X29,X27,X21,X33,X15) ),
file('<stdin>',cls_agent_Ocase__cong_7) ).
fof(c_0_33,axiom,
! [X54,X23,X24,X37,X32,X15] : c_List_Olist_Olist__rec(X24,X23,c_List_Olist_OCons(X37,X54,X32),X15,X32) = hAPP(hAPP(hAPP(X23,X37),X54),c_List_Olist_Olist__rec(X24,X23,X54,X15,X32)),
file('<stdin>',cls_list_Orecs_I2_J_0) ).
fof(c_0_34,axiom,
! [X13,X21,X31,X37,X32,X15] : c_List_Ofoldr(X31,c_List_Olist_OCons(X21,X13,X32),X37,X32,X15) = hAPP(hAPP(X31,X21),c_List_Ofoldr(X31,X13,X37,X32,X15)),
file('<stdin>',cls_foldr_Osimps_I2_J_0) ).
fof(c_0_35,axiom,
! [X20,X13,X58,X59,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,X59,X58,X15,X32)
| ~ c_List_Olist__all2(X25,c_List_Oappend(X13,X59,X15),c_List_Oappend(X20,X58,X32),X15,X32) ),
file('<stdin>',cls_list__all2__append_1) ).
fof(c_0_36,axiom,
! [X20,X13,X58,X59,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ c_List_Olist__all2(X25,c_List_Oappend(X13,X59,X15),c_List_Oappend(X20,X58,X32),X15,X32) ),
file('<stdin>',cls_list__all2__append_0) ).
fof(c_0_37,axiom,
! [X20,X39,X29,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X29,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X29,X20,X15,X32)
| ~ hBOOL(hAPP(hAPP(X25,X21),X39)) ),
file('<stdin>',cls_list__all2__Cons2_3) ).
fof(c_0_38,axiom,
! [X13,X33,X29,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X29,X33,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X33,X15,X32)
| ~ hBOOL(hAPP(hAPP(X25,X21),X29)) ),
file('<stdin>',cls_list__all2__Cons1_3) ).
fof(c_0_39,axiom,
! [X20,X39,X13,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ hBOOL(hAPP(hAPP(X25,X21),X39)) ),
file('<stdin>',cls_list__all2__Cons_2) ).
fof(c_0_40,axiom,
! [X20,X39,X13,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32) ),
file('<stdin>',cls_list__all2__Cons_1) ).
fof(c_0_41,axiom,
! [X14,X65,X66,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Odrop(X14,X66,X15),c_List_Odrop(X14,X65,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X66,X65,X15,X32) ),
file('<stdin>',cls_list__all2__dropI_0) ).
fof(c_0_42,axiom,
! [X20,X13,X14,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Otake(X14,X13,X15),c_List_Otake(X14,X20,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
file('<stdin>',cls_list__all2__takeI_0) ).
fof(c_0_43,axiom,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),hAPP(c_List_Orev(X32),X20),X15,X32) ),
file('<stdin>',cls_list__all2__rev_0) ).
fof(c_0_44,axiom,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,X13,hAPP(c_List_Orev(X32),X20),X15,X32)
| ~ c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),X20,X15,X32) ),
file('<stdin>',cls_list__all2__rev1_0) ).
fof(c_0_45,axiom,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),X20,X15,X32)
| ~ c_List_Olist__all2(X25,X13,hAPP(c_List_Orev(X32),X20),X15,X32) ),
file('<stdin>',cls_list__all2__rev1_1) ).
fof(c_0_46,axiom,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),hAPP(c_List_Orev(X32),X20),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
file('<stdin>',cls_list__all2__rev_1) ).
fof(c_0_47,axiom,
! [X21,X26,X27,X28,X22,X23,X24,X15] :
( c_Message_Oagent_Oagent__case(X24,X23,X22,X21,X15) = c_Message_Oagent_Oagent__case(X28,X27,X26,X21,X15)
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X21,X23,X27,X15))
| X21 = c_Message_Oagent_OServer ),
file('<stdin>',cls_agent_Ocase__cong_0) ).
fof(c_0_48,axiom,
! [X29,X21,X27,X28,X23,X24,X15] :
( X29 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15))
| X29 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X24,X23,X21,X29,X15) = c_Message_Oagent_Oagent__case(X28,X27,X21,X29,X15) ),
file('<stdin>',cls_agent_Ocase__cong_1) ).
fof(c_0_49,axiom,
! [X29,X21,X26,X27,X22,X23,X15] :
( c_Message_Oagent_Oagent__case(X21,X23,X22,X29,X15) = c_Message_Oagent_Oagent__case(X21,X27,X26,X29,X15)
| X29 = c_Message_Oagent_OSpy
| X29 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15)) ),
file('<stdin>',cls_agent_Ocase__cong_4) ).
fof(c_0_50,axiom,
! [X33,X29,X21,X27,X23,X15] :
( X33 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X33,X23,X27,X15))
| c_Message_Oagent_Oagent__case(X29,X23,X21,X33,X15) = c_Message_Oagent_Oagent__case(X29,X27,X21,X33,X15) ),
file('<stdin>',cls_agent_Ocase__cong_5) ).
fof(c_0_51,axiom,
! [X13,X21,X31,X37,X32,X15] : c_List_Ofoldl(X31,X37,c_List_Olist_OCons(X21,X13,X32),X15,X32) = c_List_Ofoldl(X31,hAPP(hAPP(X31,X37),X21),X13,X15,X32),
file('<stdin>',cls_foldl__Cons_0) ).
fof(c_0_52,axiom,
! [X51,X20,X13,X38,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_Map_Omap__upds(X38,X13,c_List_Oappend(X20,X51,X32),X15,X32) = c_Map_Omap__upds(X38,X13,X20,X15,X32) ),
file('<stdin>',cls_fun__upds__append2__drop_0) ).
fof(c_0_53,axiom,
! [X51,X20,X13,X38,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_Map_Omap__upds(X38,c_List_Oappend(X13,X51,X15),X20,X15,X32) = c_Map_Omap__upds(X38,X13,X20,X15,X32) ),
file('<stdin>',cls_fun__upds__append__drop_0) ).
fof(c_0_54,axiom,
! [X20,X39,X13,X21,X25,X32,X15] :
( hBOOL(hAPP(hAPP(X25,X21),X39))
| ~ c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32) ),
file('<stdin>',cls_list__all2__Cons_0) ).
fof(c_0_55,axiom,
! [X16,X17,X19,X15] :
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15),X15) != X16
| c_List_Otake(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15) != X17
| X19 != c_List_Otake(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15)
| c_List_Oappend(X19,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15),X15) = c_List_Oappend(X17,X16,X15) ),
file('<stdin>',cls_append__eq__append__conv__if_6) ).
fof(c_0_56,axiom,
! [X20,X13,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
file('<stdin>',cls_list__all2__def_0) ).
fof(c_0_57,axiom,
! [X20,X25,X32,X15] :
( X20 = c_List_Olist_ONil(X32)
| ~ c_List_Olist__all2(X25,c_List_Olist_ONil(X15),X20,X15,X32) ),
file('<stdin>',cls_list__all2__Nil_0) ).
fof(c_0_58,axiom,
! [X13,X25,X32,X15] :
( X13 = c_List_Olist_ONil(X15)
| ~ c_List_Olist__all2(X25,X13,c_List_Olist_ONil(X32),X15,X32) ),
file('<stdin>',cls_list__all2__Nil2_0) ).
fof(c_0_59,axiom,
! [X20,X13,X15] :
( X13 = X20
| ~ c_List_Olist__all2(c_fequal(X15),X13,X20,X15,X15) ),
file('<stdin>',cls_list__all2__eq_1) ).
fof(c_0_60,axiom,
! [X39,X13,X40,X31,X32,X15] : c_List_Omap(X31,c_List_Olist__update(X13,X40,X39,X32),X32,X15) = c_List_Olist__update(c_List_Omap(X31,X13,X32,X15),X40,hAPP(X31,X39),X15),
file('<stdin>',cls_map__update_0) ).
fof(c_0_61,axiom,
! [X13,X43,X21,X67,X34,X15] :
( c_List_Olist__update(c_List_Olist__update(X13,X34,X21,X15),X67,X43,X15) = c_List_Olist__update(c_List_Olist__update(X13,X67,X43,X15),X34,X21,X15)
| X34 = X67 ),
file('<stdin>',cls_list__update__swap_0) ).
fof(c_0_62,axiom,
! [X20,X13,X31,X32,X15] : c_List_Omap(X31,c_List_Oappend(X13,X20,X32),X32,X15) = c_List_Oappend(c_List_Omap(X31,X13,X32,X15),c_List_Omap(X31,X20,X32,X15),X15),
file('<stdin>',cls_map__append_0) ).
fof(c_0_63,axiom,
! [X54,X23,X24,X37,X32,X15] : c_List_Olist_Olist__case(X24,X23,c_List_Olist_OCons(X37,X54,X32),X15,X32) = hAPP(hAPP(X23,X37),X54),
file('<stdin>',cls_list_Osimps_I5_J_0) ).
fof(c_0_64,axiom,
! [X13,X14,X15] : c_List_Orotate(X14,hAPP(c_List_Orev(X15),X13),X15) = hAPP(c_List_Orev(X15),c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),tc_nat),X13,X15)),
file('<stdin>',cls_rotate__rev_0) ).
fof(c_0_65,axiom,
! [X13,X21,X34,X15] : c_lessequals(c_List_Oset(c_List_Olist__update(X13,X34,X21,X15),X15),c_Set_Oinsert(X21,c_List_Oset(X13,X15),X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_set__update__subset__insert_0) ).
fof(c_0_66,axiom,
! [X61,X22,X23,X24,X15] : c_Message_Oagent_Oagent__rec(X24,X23,X22,c_Message_Oagent_OFriend(X61),X15) = hAPP(X23,X61),
file('<stdin>',cls_agent_Orecs_I2_J_0) ).
fof(c_0_67,axiom,
! [X61,X22,X23,X24,X15] : c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OFriend(X61),X15) = hAPP(X23,X61),
file('<stdin>',cls_agent_Osimps_I9_J_0) ).
fof(c_0_68,axiom,
! [X25,X32,X15] : c_List_Olist__all2(X25,c_List_Olist_ONil(X15),c_List_Olist_ONil(X32),X15,X32),
file('<stdin>',cls_list__all2__Nil_1) ).
fof(c_0_69,axiom,
! [X23,X24,X32,X15] : c_List_Olist_Olist__case(X24,X23,c_List_Olist_ONil(X32),X15,X32) = X24,
file('<stdin>',cls_list_Osimps_I4_J_0) ).
fof(c_0_70,axiom,
! [X38,X65,X32,X15] : c_Map_Omap__upds(X38,c_List_Olist_ONil(X15),X65,X15,X32) = X38,
file('<stdin>',cls_map__upds__Nil1_0) ).
fof(c_0_71,axiom,
! [X38,X66,X32,X15] : c_Map_Omap__upds(X38,X66,c_List_Olist_ONil(X32),X15,X32) = X38,
file('<stdin>',cls_map__upds__Nil2_0) ).
fof(c_0_72,axiom,
! [X23,X24,X32,X15] : c_List_Olist_Olist__rec(X24,X23,c_List_Olist_ONil(X32),X15,X32) = X24,
file('<stdin>',cls_list_Orecs_I1_J_0) ).
fof(c_0_73,axiom,
! [X31,X37,X32,X15] : c_List_Ofoldr(X31,c_List_Olist_ONil(X32),X37,X32,X15) = X37,
file('<stdin>',cls_foldr_Osimps_I1_J_0) ).
fof(c_0_74,axiom,
! [X31,X37,X32,X15] : c_List_Ofoldl(X31,X37,c_List_Olist_ONil(X32),X15,X32) = X37,
file('<stdin>',cls_foldl__Nil_0) ).
fof(c_0_75,axiom,
! [X21,X15] : c_List_Olist__all2(c_fequal(X15),X21,X21,X15,X15),
file('<stdin>',cls_list__all2__eq_0) ).
fof(c_0_76,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__rec(X24,X23,X22,c_Message_Oagent_OSpy,X15) = X22,
file('<stdin>',cls_agent_Orecs_I3_J_0) ).
fof(c_0_77,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OSpy,X15) = X22,
file('<stdin>',cls_agent_Osimps_I10_J_0) ).
fof(c_0_78,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__rec(X24,X23,X22,c_Message_Oagent_OServer,X15) = X24,
file('<stdin>',cls_agent_Orecs_I1_J_0) ).
fof(c_0_79,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OServer,X15) = X24,
file('<stdin>',cls_agent_Osimps_I8_J_0) ).
fof(c_0_80,axiom,
! [X13,X31,X32,X15] :
( c_Fun_Oinj__on(X31,c_List_Oset(X13,X32),X32,X15)
| ~ c_List_Odistinct(c_List_Omap(X31,X13,X32,X15),X15) ),
file('<stdin>',cls_distinct__map_1) ).
fof(c_0_81,axiom,
! [X13,X14,X15] : c_List_Orotate(X14,X13,X15) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X13,X15),c_List_Otake(c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X13,X15),X15),
file('<stdin>',cls_rotate__drop__take_0) ).
fof(c_0_82,axiom,
! [X39,X13,X21,X34,X15] : c_List_Olist__update(c_List_Olist__update(X13,X34,X21,X15),X34,X39,X15) = c_List_Olist__update(X13,X34,X39,X15),
file('<stdin>',cls_list__update__overwrite_0) ).
fof(c_0_83,axiom,
! [X20,X39,X13,X21,X63,X15] :
( c_List_Olistrelp(X63,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X15),X15)
| ~ c_List_Olistrelp(X63,X13,X20,X15)
| ~ hBOOL(hAPP(hAPP(X63,X21),X39)) ),
file('<stdin>',cls_listrelp_OCons_0) ).
fof(c_0_84,axiom,
! [X13,X31,X32,X15] :
( c_List_Odistinct(c_List_Omap(X31,X13,X32,X15),X15)
| ~ c_Fun_Oinj__on(X31,c_List_Oset(X13,X32),X32,X15)
| ~ c_List_Odistinct(X13,X32) ),
file('<stdin>',cls_distinct__map_2) ).
fof(c_0_85,axiom,
! [X16,X17,X19,X15] :
( X19 != c_List_Otake(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15)
| c_List_Oappend(X19,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15),X15) = c_List_Oappend(X17,X16,X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_5) ).
fof(c_0_86,axiom,
! [X13,X21,X31,X32,X15] : c_List_Omap(X31,c_List_Olist_OCons(X21,X13,X32),X32,X15) = c_List_Olist_OCons(hAPP(X31,X21),c_List_Omap(X31,X13,X32,X15),X15),
file('<stdin>',cls_map_Osimps_I2_J_0) ).
fof(c_0_87,axiom,
! [X33,X29,X31,X32,X15] : c_List_Olist_OCons(hAPP(X31,X29),c_List_Omap(X31,X33,X32,X15),X15) = c_List_Omap(X31,c_List_Olist_OCons(X29,X33,X32),X32,X15),
file('<stdin>',cls_Cons__eq__map__conv_3) ).
fof(c_0_88,axiom,
! [X29,X21,X31,X32,X15] : c_List_Omap(X31,c_List_Olist_OCons(X21,X29,X32),X32,X15) = c_List_Olist_OCons(hAPP(X31,X21),c_List_Omap(X31,X29,X32,X15),X15),
file('<stdin>',cls_map__eq__Cons__conv_3) ).
fof(c_0_89,axiom,
! [X13,X14,X31,X32,X15] : c_List_Odrop(X14,c_List_Omap(X31,X13,X32,X15),X15) = c_List_Omap(X31,c_List_Odrop(X14,X13,X32),X32,X15),
file('<stdin>',cls_drop__map_0) ).
fof(c_0_90,axiom,
! [X13,X14,X31,X32,X15] : c_List_Orotate(X14,c_List_Omap(X31,X13,X32,X15),X15) = c_List_Omap(X31,c_List_Orotate(X14,X13,X32),X32,X15),
file('<stdin>',cls_rotate__map_0) ).
fof(c_0_91,axiom,
! [X13,X14,X31,X32,X15] : c_List_Otake(X14,c_List_Omap(X31,X13,X32,X15),X15) = c_List_Omap(X31,c_List_Otake(X14,X13,X32),X32,X15),
file('<stdin>',cls_take__map_0) ).
fof(c_0_92,axiom,
! [X13,X25,X15] :
( ~ hBOOL(hAPP(X25,c_List_Ohd(c_List_OdropWhile(X25,X13,X15),X15)))
| c_List_OdropWhile(X25,X13,X15) = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_hd__dropWhile_0) ).
fof(c_0_93,axiom,
! [X17,X18,X19,X15] :
( c_List_Otake(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15) != X17
| c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat)
| c_List_Oappend(X19,X18,X15) = c_List_Oappend(X17,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15),X18,X15),X15) ),
file('<stdin>',cls_append__eq__append__conv__if_4) ).
fof(c_0_94,axiom,
! [X1,X2,X3,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
file('<stdin>',cls_spies__Says__rev_0) ).
fof(c_0_95,axiom,
! [X20,X13,X31,X32,X15] :
( c_List_Omap(X31,X13,X32,X15) != c_List_Omap(X31,X20,X32,X15)
| c_Nat_Osize__class_Osize(X13,tc_List_Olist(X32)) = c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32)) ),
file('<stdin>',cls_map__eq__imp__length__eq_0) ).
fof(c_0_96,axiom,
! [X13,X31,X32,X15] :
( c_List_Odistinct(X13,X32)
| ~ c_List_Odistinct(c_List_Omap(X31,X13,X32,X15),X15) ),
file('<stdin>',cls_distinct__map_0) ).
fof(c_0_97,axiom,
! [X13,X31,X32,X15] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X32)
| c_Finite__Set_Osetsum(X31,c_List_Oset(X13,X15),X15,X32) = c_List_Olistsum(c_List_Omap(X31,X13,X15,X32),X32)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_setsum__set__distinct__conv__listsum_0) ).
fof(c_0_98,axiom,
! [X31,X37,X5,X32,X15] :
( c_Fun_Oinj__on(X31,X5,X15,X32)
| ~ c_Fun_Oinj__on(X31,c_Set_Oinsert(X37,X5,X15),X15,X32) ),
file('<stdin>',cls_inj__on__insert_0) ).
fof(c_0_99,axiom,
! [X13,X31,X32,X15] : hAPP(c_List_Orev(X15),c_List_Omap(X31,X13,X32,X15)) = c_List_Omap(X31,hAPP(c_List_Orev(X32),X13),X32,X15),
file('<stdin>',cls_rev__map_0) ).
fof(c_0_100,axiom,
! [X20,X13,X14,X15] : c_List_Odrop(X14,c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Odrop(X14,X13,X15),c_List_Odrop(c_HOL_Ominus__class_Ominus(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X20,X15),X15),
file('<stdin>',cls_drop__append_0) ).
fof(c_0_101,axiom,
! [X20,X13,X14,X15] : c_List_Otake(X14,c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Otake(X14,X13,X15),c_List_Otake(c_HOL_Ominus__class_Ominus(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X20,X15),X15),
file('<stdin>',cls_take__append_0) ).
fof(c_0_102,axiom,
! [X20,X39,X13,X21,X15] : c_List_Olist__update(c_List_Oappend(X13,c_List_Olist_OCons(X21,X20,X15),X15),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X39,X15) = c_List_Oappend(X13,c_List_Olist_OCons(X39,X20,X15),X15),
file('<stdin>',cls_list__update__length_0) ).
fof(c_0_103,axiom,
! [X1,X2,X3,X4,X5] : c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Says_0) ).
fof(c_0_104,axiom,
! [X31,X3,X5,X32,X15] :
( c_Fun_Oinj__on(X31,X5,X15,X32)
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool))
| ~ c_Fun_Oinj__on(X31,X3,X15,X32) ),
file('<stdin>',cls_subset__inj__on_0) ).
fof(c_0_105,axiom,
! [X35,X36,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X37,X35,X15),c_Divides_Odiv__class_Omod(X36,X35,X15),X15),X35,X15) ),
file('<stdin>',cls_mod__diff__eq_0) ).
fof(c_0_106,axiom,
! [X1,X2,X3,X5] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__Spy__subset__knows__Spy__Says_0) ).
fof(c_0_107,axiom,
! [X35,X45,X36,X46,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(X36,X35,X15) != c_Divides_Odiv__class_Omod(X45,X35,X15)
| c_Divides_Odiv__class_Omod(X37,X35,X15) != c_Divides_Odiv__class_Omod(X46,X35,X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X46,X45,X15),X35,X15) ),
file('<stdin>',cls_mod__diff__cong_0) ).
fof(c_0_108,axiom,
! [X51,X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X39,X51,X15),X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_OCons(X39,X51,X15),X15),X15) ),
file('<stdin>',cls_sorted_Osimps_I3_J_1) ).
fof(c_0_109,axiom,
! [X13,X21,X14,X15] : c_List_Oappend(c_List_Oreplicate(X14,X21,X15),c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,c_List_Oappend(c_List_Oreplicate(X14,X21,X15),X13,X15),X15),
file('<stdin>',cls_replicate__app__Cons__same_0) ).
fof(c_0_110,axiom,
! [X14,X38,X40] :
( c_lessequals(X38,X14,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X38,X40,tc_nat),c_HOL_Ominus__class_Ominus(X14,X40,tc_nat),tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat) ),
file('<stdin>',cls_le__diff__iff_0) ).
fof(c_0_111,axiom,
! [X51,X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_OCons(X39,X51,X15),X15),X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X39,X51,X15),X15)
| ~ c_lessequals(X21,X39,X15) ),
file('<stdin>',cls_sorted_Osimps_I3_J_2) ).
fof(c_0_112,axiom,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| X18 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_1) ).
fof(c_0_113,axiom,
! [X51,X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_lessequals(X21,X39,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_OCons(X39,X51,X15),X15),X15) ),
file('<stdin>',cls_sorted_Osimps_I3_J_0) ).
fof(c_0_114,axiom,
! [X20,X39,X13,X21,X15] :
( c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) != c_List_Oappend(X20,c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15)
| X21 = X39 ),
file('<stdin>',cls_append1__eq__conv_1) ).
fof(c_0_115,axiom,
! [X20,X39,X13,X21,X15] :
( c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) != c_List_Oappend(X20,c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15)
| X13 = X20 ),
file('<stdin>',cls_append1__eq__conv_0) ).
fof(c_0_116,axiom,
! [X35,X36,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X37,X35,X15),X36,X15),X35,X15) ),
file('<stdin>',cls_mod__diff__left__eq_0) ).
fof(c_0_117,axiom,
! [X35,X36,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,c_Divides_Odiv__class_Omod(X36,X35,X15),X15),X35,X15) ),
file('<stdin>',cls_mod__diff__right__eq_0) ).
fof(c_0_118,axiom,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15),X18,X15) = X16
| c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_3) ).
fof(c_0_119,axiom,
! [X20,X21,X15] : ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X21,X20,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X20,tc_List_Olist(X15)),tc_nat),
file('<stdin>',cls_impossible__Cons_0) ).
fof(c_0_120,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X25),v_sko__List__Xlast__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_last_Oinduct_1) ).
fof(c_0_121,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X25),v_sko__List__Xlistsum__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listsum_Oinduct_1) ).
fof(c_0_122,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X25),v_sko__List__Xdistinct__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_distinct_Oinduct_1) ).
fof(c_0_123,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X25),v_sko__List__Xremove1__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_remove1_Oinduct_1) ).
fof(c_0_124,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X25),v_sko__List__Xlistset__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listset_Oinduct_1) ).
fof(c_0_125,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X25),v_sko__List__Xzip__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_zip_Oinduct_1) ).
fof(c_0_126,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X25),v_sko__List__XdropWhile__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_dropWhile_Oinduct_1) ).
fof(c_0_127,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X25),v_sko__List__XtakeWhile__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_takeWhile_Oinduct_1) ).
fof(c_0_128,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X25),v_sko__List__XremoveAll__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_removeAll_Oinduct_1) ).
fof(c_0_129,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X25),v_sko__List__Xlist__update__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list__update_Oinduct_1) ).
fof(c_0_130,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X25),v_sko__List__Xlist__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list_Oinduct_1) ).
fof(c_0_131,axiom,
! [X21,X14,X40,X15] : c_List_Oappend(c_List_Oreplicate(X14,X21,X15),c_List_Oreplicate(X40,X21,X15),X15) = c_List_Oappend(c_List_Oreplicate(X40,X21,X15),c_List_Oreplicate(X14,X21,X15),X15),
file('<stdin>',cls_append__replicate__commute_0) ).
fof(c_0_132,axiom,
! [X13,X31,X32,X15] : c_Nat_Osize__class_Osize(c_List_Omap(X31,X13,X32,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X32)),
file('<stdin>',cls_length__map_0) ).
fof(c_0_133,axiom,
! [X13,X21,X34,X15] : c_Nat_Osize__class_Osize(c_List_Olist__update(X13,X34,X21,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
file('<stdin>',cls_length__list__update_0) ).
fof(c_0_134,axiom,
! [X14,X38,X40] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X38,X40,tc_nat),c_HOL_Ominus__class_Ominus(X14,X40,tc_nat),tc_nat)
| ~ c_lessequals(X38,X14,tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat) ),
file('<stdin>',cls_le__diff__iff_1) ).
fof(c_0_135,axiom,
! [X20,X39,X15] : hAPP(c_List_Orev(X15),c_List_Oappend(hAPP(c_List_Orev(X15),X20),c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15)) = c_List_Olist_OCons(X39,X20,X15),
file('<stdin>',cls_rev__eq__Cons__iff_1) ).
fof(c_0_136,axiom,
! [X14,X38,X40] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X38,X40,tc_nat),c_HOL_Ominus__class_Ominus(X14,X40,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X38,X14,tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat) ),
file('<stdin>',cls_Nat_Odiff__diff__eq_0) ).
fof(c_0_137,axiom,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| X19 = c_List_Otake(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_0) ).
fof(c_0_138,axiom,
! [X1,X2,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
file('<stdin>',cls_spies__Gets__rev_0) ).
fof(c_0_139,axiom,
! [X21,X34,X15] : c_List_Oappend(c_List_Oreplicate(X34,X21,X15),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) = c_List_Olist_OCons(X21,c_List_Oreplicate(X34,X21,X15),X15),
file('<stdin>',cls_replicate__append__same_0) ).
fof(c_0_140,axiom,
! [X1,X2,X4,X5] : c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Gets_0) ).
fof(c_0_141,axiom,
! [X21,X14,X31,X32,X15] : c_List_Omap(X31,c_List_Oreplicate(X14,X21,X32),X32,X15) = c_List_Oreplicate(X14,hAPP(X31,X21),X15),
file('<stdin>',cls_map__replicate_0) ).
fof(c_0_142,axiom,
! [X1,X2,X5] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
fof(c_0_143,axiom,
! [X20,X13,X25,X15] : c_List_Ofilter(X25,c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Ofilter(X25,X13,X15),c_List_Ofilter(X25,X20,X15),X15),
file('<stdin>',cls_filter__append_0) ).
fof(c_0_144,axiom,
! [X13,X14,X38,X15] : c_List_Odrop(X14,c_List_Otake(X38,X13,X15),X15) = c_List_Otake(c_HOL_Ominus__class_Ominus(X38,X14,tc_nat),c_List_Odrop(X14,X13,X15),X15),
file('<stdin>',cls_drop__take_0) ).
fof(c_0_145,axiom,
! [X39,X21,X5,X15] :
( hBOOL(hAPP(X5,X21))
| X39 = X21
| ~ hBOOL(hAPP(c_Set_Oinsert(X39,X5,X15),X21)) ),
file('<stdin>',cls_insert__code_0) ).
fof(c_0_146,axiom,
! [X37,X50,X48,X15] :
( c_lessequals(c_Set_Oinsert(X37,X48,X15),c_Set_Oinsert(X37,X50,X15),tc_fun(X15,tc_bool))
| ~ c_lessequals(X48,X50,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_insert__mono_0) ).
fof(c_0_147,axiom,
! [X1,X2,X3,X5] : c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X5,X1),tc_Message_Omsg),
file('<stdin>',cls_knows__Says_0) ).
fof(c_0_148,axiom,
! [X1,X2,X3,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
file('<stdin>',cls_knows__Spy__Says_0) ).
fof(c_0_149,axiom,
! [X13,X21,X40,X15] :
( c_List_Olist__update(X13,X40,X21,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_list__update__nonempty_0) ).
fof(c_0_150,axiom,
! [X13,X31,X32,X15] :
( c_List_Olist_ONil(X15) != c_List_Omap(X31,X13,X32,X15)
| X13 = c_List_Olist_ONil(X32) ),
file('<stdin>',cls_Nil__is__map__conv_0) ).
fof(c_0_151,axiom,
! [X13,X31,X32,X15] :
( c_List_Omap(X31,X13,X32,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X32) ),
file('<stdin>',cls_map__is__Nil__conv_0) ).
fof(c_0_152,axiom,
! [X13,X34,X15] : hAPP(c_List_Orev(X15),c_List_Odrop(X34,X13,X15)) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X34,tc_nat),hAPP(c_List_Orev(X15),X13),X15),
file('<stdin>',cls_rev__drop_0) ).
fof(c_0_153,axiom,
! [X13,X34,X15] : hAPP(c_List_Orev(X15),c_List_Otake(X34,X13,X15)) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X34,tc_nat),hAPP(c_List_Orev(X15),X13),X15),
file('<stdin>',cls_rev__take_0) ).
fof(c_0_154,axiom,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| c_List_Otake(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15) = X17
| c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
file('<stdin>',cls_append__eq__append__conv__if_2) ).
fof(c_0_155,axiom,
! [X13,X21,X34,X15] :
( c_List_Olist__update(X13,X34,X21,X15) = X13
| ~ c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X34,tc_nat) ),
file('<stdin>',cls_list__update__beyond_0) ).
fof(c_0_156,axiom,
! [X51,X13,X15] :
( X13 != c_List_Otake(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X51,X15)
| c_List_Oappend(X13,c_List_Odrop(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X51,X15),X15) = X51 ),
file('<stdin>',cls_append__eq__conv__conj_2) ).
fof(c_0_157,axiom,
! [X13,X21,X25,X15] :
( c_List_Ofilter(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,c_List_Ofilter(X25,X13,X15),X15)
| ~ hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_filter_Osimps_I2_J_0) ).
fof(c_0_158,axiom,
! [X21,X3,X5,X15] :
( c_lessequals(X5,X3,tc_fun(X15,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X21,X5,X15),X3,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_insert__subset_1) ).
fof(c_0_159,axiom,
! [X13,X21,X15] : c_List_Olast(c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15),X15) = X21,
file('<stdin>',cls_last__snoc_0) ).
fof(c_0_160,axiom,
! [X13,X21,X15] : c_List_Obutlast(c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15),X15) = X13,
file('<stdin>',cls_butlast__snoc_0) ).
fof(c_0_161,axiom,
! [X14,X38,X44] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X44,X14,tc_nat),c_HOL_Ominus__class_Ominus(X44,X38,tc_nat),tc_nat)
| ~ c_lessequals(X38,X14,tc_nat) ),
file('<stdin>',cls_diff__le__mono2_0) ).
fof(c_0_162,axiom,
! [X14,X38,X44] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X38,X44,tc_nat),c_HOL_Ominus__class_Ominus(X14,X44,tc_nat),tc_nat)
| ~ c_lessequals(X38,X14,tc_nat) ),
file('<stdin>',cls_diff__le__mono_0) ).
fof(c_0_163,axiom,
! [X13,X53,X15] : c_lessequals(c_List_Oset(c_List_Osublist(X13,X53,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_set__sublist__subset_0) ).
fof(c_0_164,axiom,
! [X13,X21,X15] : c_lessequals(c_List_Oset(c_List_Oremove1(X21,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_set__remove1__subset_0) ).
fof(c_0_165,axiom,
! [X13,X25,X15] : c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(X25,X13,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),
file('<stdin>',cls_length__dropWhile__le_0) ).
fof(c_0_166,axiom,
! [X13,X14,X15] : c_lessequals(c_List_Oset(c_List_Odrop(X14,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_set__drop__subset_0) ).
fof(c_0_167,axiom,
! [X13,X25,X15] : c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X25,X13,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),
file('<stdin>',cls_length__filter__le_0) ).
fof(c_0_168,axiom,
! [X13,X25,X15] : c_lessequals(c_List_Oset(c_List_Ofilter(X25,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_filter__is__subset_0) ).
fof(c_0_169,axiom,
! [X13,X14,X15] : c_lessequals(c_List_Oset(c_List_Otake(X14,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_set__take__subset_0) ).
fof(c_0_170,axiom,
! [X13,X21,X15] : c_lessequals(c_List_Oset(X13,X15),c_List_Oset(c_List_Olist_OCons(X21,X13,X15),X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_set__subset__Cons_0) ).
fof(c_0_171,axiom,
! [X13,X21,X25,X15] :
( c_List_Olist__ex(X25,X13,X15)
| hBOOL(hAPP(X25,X21))
| ~ c_List_Olist__ex(X25,c_List_Olist_OCons(X21,X13,X15),X15) ),
file('<stdin>',cls_list__ex_Osimps_I2_J_0) ).
fof(c_0_172,axiom,
! [X13,X21,X15] : hAPP(c_List_Orev(X15),c_List_Olist_OCons(X21,X13,X15)) = c_List_Oappend(hAPP(c_List_Orev(X15),X13),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15),
file('<stdin>',cls_rev_Osimps_I2_J_0) ).
fof(c_0_173,axiom,
! [X14,X38,X40] :
( c_HOL_Ominus__class_Ominus(X38,X40,tc_nat) != c_HOL_Ominus__class_Ominus(X14,X40,tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat)
| X38 = X14 ),
file('<stdin>',cls_eq__diff__iff_0) ).
fof(c_0_174,axiom,
! [X20,X13,X5,X15] :
( c_List_Olistsp(X5,c_List_Oappend(X13,X20,X15),X15)
| ~ c_List_Olistsp(X5,X20,X15)
| ~ c_List_Olistsp(X5,X13,X15) ),
file('<stdin>',cls_append__in__listsp__conv_2) ).
fof(c_0_175,axiom,
! [X20,X13,X25,X15] :
( c_List_Olist__all(X25,c_List_Oappend(X13,X20,X15),X15)
| ~ c_List_Olist__all(X25,X20,X15)
| ~ c_List_Olist__all(X25,X13,X15) ),
file('<stdin>',cls_list__all__append_2) ).
fof(c_0_176,axiom,
! [X1,X52,X5] : c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(X52,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Cons_0) ).
fof(c_0_177,axiom,
! [X20,X39,X13,X15] :
( hAPP(c_List_Orev(X15),X13) != c_List_Olist_OCons(X39,X20,X15)
| X13 = c_List_Oappend(hAPP(c_List_Orev(X15),X20),c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15) ),
file('<stdin>',cls_rev__eq__Cons__iff_0) ).
fof(c_0_178,axiom,
! [X39,X13,X21,X15] :
( c_List_Oremove1(X21,c_List_Olist_OCons(X39,X13,X15),X15) = c_List_Olist_OCons(X39,c_List_Oremove1(X21,X13,X15),X15)
| X21 = X39 ),
file('<stdin>',cls_remove1_Osimps_I2_J_1) ).
fof(c_0_179,axiom,
! [X13,X21,X68,X15] : c_List_Oappend(X13,c_List_Oappend(X21,X68,X15),X15) = c_List_Oappend(c_List_Oappend(X13,X21,X15),X68,X15),
file('<stdin>',cls_append__eq__append__conv2_5) ).
fof(c_0_180,axiom,
! [X51,X20,X21,X15] : c_List_Oappend(c_List_Oappend(X51,X21,X15),X20,X15) = c_List_Oappend(X51,c_List_Oappend(X21,X20,X15),X15),
file('<stdin>',cls_append__eq__append__conv2_4) ).
fof(c_0_181,axiom,
! [X57,X13,X59,X15] : c_List_Oappend(X13,c_List_Oappend(X57,X59,X15),X15) = c_List_Oappend(c_List_Oappend(X13,X57,X15),X59,X15),
file('<stdin>',cls_append__eq__appendI_0) ).
fof(c_0_182,axiom,
! [X51,X20,X13,X15] : c_List_Oappend(c_List_Oappend(X13,X20,X15),X51,X15) = c_List_Oappend(X13,c_List_Oappend(X20,X51,X15),X15),
file('<stdin>',cls_append__assoc_0) ).
fof(c_0_183,axiom,
! [X51,X57,X21,X15] : c_List_Olist_OCons(X21,c_List_Oappend(X57,X51,X15),X15) = c_List_Oappend(c_List_Olist_OCons(X21,X57,X15),X51,X15),
file('<stdin>',cls_Cons__eq__appendI_0) ).
fof(c_0_184,axiom,
! [X51,X29,X21,X15] : c_List_Olist_OCons(X21,c_List_Oappend(X29,X51,X15),X15) = c_List_Oappend(c_List_Olist_OCons(X21,X29,X15),X51,X15),
file('<stdin>',cls_Cons__eq__append__conv_5) ).
fof(c_0_185,axiom,
! [X20,X13,X21,X15] : c_List_Oappend(c_List_Olist_OCons(X21,X13,X15),X20,X15) = c_List_Olist_OCons(X21,c_List_Oappend(X13,X20,X15),X15),
file('<stdin>',cls_append__Cons_0) ).
fof(c_0_186,axiom,
! [X51,X29,X21,X15] : c_List_Oappend(c_List_Olist_OCons(X21,X29,X15),X51,X15) = c_List_Olist_OCons(X21,c_List_Oappend(X29,X51,X15),X15),
file('<stdin>',cls_append__eq__Cons__conv_5) ).
fof(c_0_187,axiom,
! [X39,X21,X5,X15] : c_Set_Oinsert(X21,c_Set_Oinsert(X39,X5,X15),X15) = c_Set_Oinsert(X39,c_Set_Oinsert(X21,X5,X15),X15),
file('<stdin>',cls_insert__commute_0) ).
fof(c_0_188,axiom,
! [X48,X3,X5,X15] :
( c_lessequals(X5,X48,tc_fun(X15,tc_bool))
| ~ c_lessequals(X3,X48,tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_subset__trans_0) ).
fof(c_0_189,axiom,
! [X42,X39,X43,X21,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X21,X39,X15) != c_HOL_Ominus__class_Ominus(X43,X42,X15)
| c_lessequals(X39,X21,X15)
| ~ c_lessequals(X42,X43,X15) ),
file('<stdin>',cls_le__eqI_1) ).
fof(c_0_190,axiom,
! [X42,X39,X43,X21,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X21,X39,X15) != c_HOL_Ominus__class_Ominus(X43,X42,X15)
| c_lessequals(X42,X43,X15)
| ~ c_lessequals(X39,X21,X15) ),
file('<stdin>',cls_le__eqI_0) ).
fof(c_0_191,axiom,
! [X21,X40,X34,X15] : c_List_Odrop(X34,c_List_Oreplicate(X40,X21,X15),X15) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X40,X34,tc_nat),X21,X15),
file('<stdin>',cls_drop__replicate_0) ).
fof(c_0_192,axiom,
! [X40,X41,X34] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X34,X41,tc_nat),X40,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X34,X40,tc_nat),X41,tc_nat),
file('<stdin>',cls_diff__commute_0) ).
fof(c_0_193,axiom,
! [X20,X13,X25,X15] :
( c_List_Olist__all(X25,X20,X15)
| ~ c_List_Olist__all(X25,c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_list__all__append_1) ).
fof(c_0_194,axiom,
! [X20,X13,X25,X15] :
( c_List_Olist__all(X25,X13,X15)
| ~ c_List_Olist__all(X25,c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_list__all__append_0) ).
fof(c_0_195,axiom,
! [X20,X13,X5,X15] :
( c_List_Olistsp(X5,X20,X15)
| ~ c_List_Olistsp(X5,c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_append__in__listsp__conv_1) ).
fof(c_0_196,axiom,
! [X20,X13,X5,X15] :
( c_List_Olistsp(X5,X13,X15)
| ~ c_List_Olistsp(X5,c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_append__in__listsp__conv_0) ).
fof(c_0_197,axiom,
! [X13,X21,X25,X15] :
( c_List_Olist__all(X25,X13,X15)
| ~ c_List_Olist__all(X25,c_List_Olist_OCons(X21,X13,X15),X15) ),
file('<stdin>',cls_list__all_Osimps_I2_J_1) ).
fof(c_0_198,axiom,
! [X36,X3,X5,X15] :
( c_lessequals(X5,c_Set_Oinsert(X36,X3,X15),tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_subset__insertI2_0) ).
fof(c_0_199,axiom,
! [X13,X21,X25,X15] :
( c_List_Olist__all(X25,c_List_Olist_OCons(X21,X13,X15),X15)
| ~ c_List_Olist__all(X25,X13,X15)
| ~ hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_list__all_Osimps_I2_J_2) ).
fof(c_0_200,axiom,
! [X13,X21,X32] : c_List_Orotate1(c_List_Olist_OCons(X21,X13,X32),X32) = c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X32),X32),X32),
file('<stdin>',cls_rotate__simps_1) ).
fof(c_0_201,axiom,
! [X14,X38] :
( c_Divides_Odiv__class_Omod(X38,X14,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X38,X14,tc_nat),X14,tc_nat)
| ~ c_lessequals(X14,X38,tc_nat) ),
file('<stdin>',cls_le__mod__geq_0) ).
fof(c_0_202,axiom,
! [X39,X21,X5,X15] :
( hBOOL(hAPP(c_Set_Oinsert(X39,X5,X15),X21))
| ~ hBOOL(hAPP(X5,X21)) ),
file('<stdin>',cls_insert__code_2) ).
fof(c_0_203,axiom,
! [X13,X14,X15] : c_List_Orotate(X14,X13,X15) = c_List_Orotate(c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X13,X15),
file('<stdin>',cls_rotate__conv__mod_0) ).
fof(c_0_204,axiom,
! [X13,X21,X25,X15] :
( hBOOL(hAPP(X25,X21))
| ~ c_List_Olist__all(X25,c_List_Olist_OCons(X21,X13,X15),X15) ),
file('<stdin>',cls_list__all_Osimps_I2_J_0) ).
fof(c_0_205,axiom,
! [X13,X15] :
( c_List_Orotate1(X13,X15) = c_List_Oappend(c_List_Otl(X13,X15),c_List_Olist_OCons(c_List_Ohd(X13,X15),c_List_Olist_ONil(X15),X15),X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_rotate1__hd__tl_0) ).
fof(c_0_206,axiom,
! [X13,X14,X15] : c_List_Oappend(c_List_Otake(X14,X13,X15),c_List_Odrop(X14,X13,X15),X15) = X13,
file('<stdin>',cls_append__take__drop__id_0) ).
fof(c_0_207,axiom,
! [X5,X15] : c_Fun_Oinj__on(c_List_Orev(X15),X5,tc_List_Olist(X15),tc_List_Olist(X15)),
file('<stdin>',cls_inj__on__rev_0) ).
fof(c_0_208,axiom,
! [X13,X21,X25,X15] :
( c_List_OdropWhile(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_OdropWhile(X25,X13,X15)
| ~ hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_dropWhile_Osimps_I2_J_0) ).
fof(c_0_209,axiom,
! [X21,X14,X25,X15] :
( c_List_Ofilter(X25,c_List_Oreplicate(X14,X21,X15),X15) = c_List_Oreplicate(X14,X21,X15)
| ~ hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_filter__replicate_0) ).
fof(c_0_210,axiom,
! [X63,X15] : c_List_Olistrelp(X63,c_List_Olist_ONil(X15),c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_listrelp_ONil_0) ).
fof(c_0_211,axiom,
! [X20,X13,X15] : hAPP(c_List_Orev(X15),c_List_Oappend(X13,X20,X15)) = c_List_Oappend(hAPP(c_List_Orev(X15),X20),hAPP(c_List_Orev(X15),X13),X15),
file('<stdin>',cls_rev__append_0) ).
fof(c_0_212,axiom,
! [X31,X32,X15] : c_List_Olist_ONil(X15) = c_List_Omap(X31,c_List_Olist_ONil(X32),X32,X15),
file('<stdin>',cls_Nil__is__map__conv_1) ).
fof(c_0_213,axiom,
! [X69,X34,X15] : c_List_Olist__update(c_List_Olist_ONil(X15),X34,X69,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_list__update_Osimps_I1_J_0) ).
fof(c_0_214,axiom,
! [X39,X34,X15] : c_List_Olist__update(c_List_Olist_ONil(X15),X34,X39,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_list__update__code_I1_J_0) ).
fof(c_0_215,axiom,
! [X21,X40,X15] : c_List_Olist__update(c_List_Olist_ONil(X15),X40,X21,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_list__update__nonempty_1) ).
fof(c_0_216,axiom,
! [X31,X32,X15] : c_List_Ofiltermap(X31,c_List_Olist_ONil(X32),X32,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_filtermap_Osimps_I1_J_0) ).
fof(c_0_217,axiom,
! [X31,X32,X15] : c_List_Omap(X31,c_List_Olist_ONil(X32),X32,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_map__is__Nil__conv_1) ).
fof(c_0_218,axiom,
! [X13,X15] :
( c_List_Oappend(c_List_Obutlast(X13,X15),c_List_Olist_OCons(c_List_Olast(X13,X15),c_List_Olist_ONil(X15),X15),X15) = X13
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_append__butlast__last__id_0) ).
fof(c_0_219,axiom,
! [X1,X2,X5] :
( c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X5,X1),tc_Message_Omsg)
| X5 = c_Message_Oagent_OSpy ),
file('<stdin>',cls_knows__Gets_0) ).
fof(c_0_220,axiom,
! [X13,X21,X25,X15] :
( c_List_Olist__ex(X25,c_List_Olist_OCons(X21,X13,X15),X15)
| ~ c_List_Olist__ex(X25,X13,X15) ),
file('<stdin>',cls_list__ex_Osimps_I2_J_2) ).
fof(c_0_221,axiom,
! [X3,X5,X15] :
( X5 = X3
| ~ c_lessequals(X3,X5,tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_set__eq__subset_2) ).
fof(c_0_222,axiom,
! [X3,X5,X15] :
( X5 = X3
| ~ c_lessequals(X3,X5,tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_equalityI_0) ).
fof(c_0_223,axiom,
! [X13,X21,X25,X15] :
( c_List_Ofilter(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Ofilter(X25,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_filter_Osimps_I2_J_1) ).
fof(c_0_224,axiom,
! [X13,X21,X25,X15] :
( c_List_Oremove1(X21,c_List_Ofilter(X25,X13,X15),X15) = c_List_Ofilter(X25,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_remove1__filter__not_0) ).
fof(c_0_225,axiom,
! [X13,X21,X25,X15] :
( c_List_OdropWhile(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_dropWhile_Osimps_I2_J_1) ).
fof(c_0_226,axiom,
! [X21,X5,X15] : hBOOL(hAPP(c_Set_Oinsert(X21,X5,X15),X21)),
file('<stdin>',cls_insert__code_1) ).
fof(c_0_227,axiom,
! [X14,X34] :
( c_HOL_Ominus__class_Ominus(X14,c_HOL_Ominus__class_Ominus(X14,X34,tc_nat),tc_nat) = X34
| ~ c_lessequals(X34,X14,tc_nat) ),
file('<stdin>',cls_diff__diff__cancel_0) ).
fof(c_0_228,axiom,
! [X21,X30,X31,X32,X15] :
( ~ class_HOL_Oord(X32)
| c_lessequals(hAPP(X31,X21),hAPP(X30,X21),X32)
| ~ c_lessequals(X31,X30,tc_fun(X15,X32)) ),
file('<stdin>',cls_le__funD_0) ).
fof(c_0_229,axiom,
! [X47,X39,X21,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_lessequals(X21,X47,X15)
| ~ c_lessequals(X39,X47,X15)
| ~ c_lessequals(X21,X39,X15) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_230,axiom,
! [X47,X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| c_lessequals(X47,X21,X15)
| ~ c_lessequals(X47,X39,X15)
| ~ c_lessequals(X39,X21,X15) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_231,axiom,
! [X36,X37,X15] :
( ~ class_Divides_Osemiring__div(X15)
| c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X37,X36,X15),X36,X15) = c_Divides_Odiv__class_Omod(X37,X36,X15) ),
file('<stdin>',cls_mod__mod__trivial_0) ).
fof(c_0_232,axiom,
! [X13,X21,X15] : c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,X13,X15),
file('<stdin>',cls_append__eq__Cons__conv_4) ).
fof(c_0_233,axiom,
! [X13,X21,X15] : c_List_Olist_OCons(X21,X13,X15) = c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_OCons(X21,X13,X15),X15),
file('<stdin>',cls_Cons__eq__append__conv_4) ).
fof(c_0_234,axiom,
! [X40,X41,X34] :
( c_lessequals(X34,X40,tc_nat)
| ~ c_lessequals(X41,X40,tc_nat)
| ~ c_lessequals(X34,X41,tc_nat) ),
file('<stdin>',cls_le__trans_0) ).
fof(c_0_235,axiom,
! [X13,X25,X15] : hAPP(c_List_Orev(X15),c_List_Ofilter(X25,X13,X15)) = c_List_Ofilter(X25,hAPP(c_List_Orev(X15),X13),X15),
file('<stdin>',cls_rev__filter_0) ).
fof(c_0_236,axiom,
! [X20,X39,X13,X25,X15] :
( c_List_OdropWhile(X25,X13,X15) != c_List_Olist_OCons(X39,X20,X15)
| ~ hBOOL(hAPP(X25,X39)) ),
file('<stdin>',cls_dropWhile__eq__Cons__conv_1) ).
fof(c_0_237,axiom,
! [X13,X14,X15] : c_Nat_Osize__class_Osize(c_List_Odrop(X14,X13,X15),tc_List_Olist(X15)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat),
file('<stdin>',cls_length__drop_0) ).
fof(c_0_238,axiom,
! [X21,X5,X15] : c_Set_Oinsert(X21,c_Set_Oinsert(X21,X5,X15),X15) = c_Set_Oinsert(X21,X5,X15),
file('<stdin>',cls_insert__absorb2_0) ).
fof(c_0_239,axiom,
! [X20,X13,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(X20,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_sorted__append_1) ).
fof(c_0_240,axiom,
! [X20,X13,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(X13,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_sorted__append_0) ).
fof(c_0_241,axiom,
! [X13,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(X13,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,X13,X15),X15) ),
file('<stdin>',cls_sorted__Cons_0) ).
fof(c_0_242,axiom,
! [X13,X21,X25,X15] :
( c_List_Olist__ex(X25,c_List_Olist_OCons(X21,X13,X15),X15)
| ~ hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_list__ex_Osimps_I2_J_1) ).
fof(c_0_243,axiom,
! [X20,X13,X15] :
( c_List_Obutlast(c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(X13,c_List_Obutlast(X20,X15),X15)
| X20 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_butlast__append_1) ).
fof(c_0_244,axiom,
! [X20,X13,X15] :
( c_List_Otl(c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Otl(X13,X15),X20,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_tl__append2_0) ).
fof(c_0_245,axiom,
! [X13,X21,X15] :
( c_List_Obutlast(c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,c_List_Obutlast(X13,X15),X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_butlast_Osimps_I2_J_1) ).
fof(c_0_246,axiom,
! [X13,X14,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Orotate(X14,X13,X15),X15) ),
file('<stdin>',cls_distinct__rotate_0) ).
fof(c_0_247,axiom,
! [X20,X13,X15] :
( c_List_Odistinct(X20,X15)
| ~ c_List_Odistinct(c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_distinct__append_1) ).
fof(c_0_248,axiom,
! [X20,X13,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Oappend(X13,X20,X15),X15) ),
file('<stdin>',cls_distinct__append_0) ).
fof(c_0_249,axiom,
! [X13,X21,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Olist_OCons(X21,X13,X15),X15) ),
file('<stdin>',cls_distinct_Osimps_I2_J_1) ).
fof(c_0_250,axiom,
! [X13,X14,X15] :
( c_List_Odrop(X14,X13,X15) = c_List_Olist_ONil(X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat) ),
file('<stdin>',cls_drop__all_0) ).
fof(c_0_251,axiom,
! [X20,X13,X21,X25,X15] :
( c_List_Ofilter(X25,X20,X15) != c_List_Olist_OCons(X21,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_filter__eq__ConsD_2) ).
fof(c_0_252,axiom,
! [X20,X13,X21,X25,X15] :
( c_List_Olist_OCons(X21,X13,X15) != c_List_Ofilter(X25,X20,X15)
| hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_Cons__eq__filterD_2) ).
fof(c_0_253,axiom,
! [X13,X14,X15] : c_List_Orotate1(c_List_Orotate(X14,X13,X15),X15) = c_List_Orotate(X14,c_List_Orotate1(X13,X15),X15),
file('<stdin>',cls_rotate1__rotate__swap_0) ).
fof(c_0_254,axiom,
! [X13,X25,X15] : c_List_Oremdups(c_List_Ofilter(X25,X13,X15),X15) = c_List_Ofilter(X25,c_List_Oremdups(X13,X15),X15),
file('<stdin>',cls_remdups__filter_0) ).
fof(c_0_255,axiom,
! [X13,X21,X15] : c_List_Oset(c_List_Olist_OCons(X21,X13,X15),X15) = c_Set_Oinsert(X21,c_List_Oset(X13,X15),X15),
file('<stdin>',cls_List_Oset_Osimps_I2_J_0) ).
fof(c_0_256,axiom,
! [X13,X14,X15] : c_List_Odrop(X14,c_List_Otl(X13,X15),X15) = c_List_Otl(c_List_Odrop(X14,X13,X15),X15),
file('<stdin>',cls_drop__tl_0) ).
fof(c_0_257,axiom,
! [X13,X14,X15] : c_List_Odrop(X14,c_List_Obutlast(X13,X15),X15) = c_List_Obutlast(c_List_Odrop(X14,X13,X15),X15),
file('<stdin>',cls_drop__butlast_0) ).
fof(c_0_258,axiom,
! [X13,X14,X15] : c_List_Otl(c_List_Odrop(X14,X13,X15),X15) = c_List_Odrop(X14,c_List_Otl(X13,X15),X15),
file('<stdin>',cls_tl__drop_0) ).
fof(c_0_259,axiom,
! [X13,X14,X15] : c_List_Obutlast(c_List_Odrop(X14,X13,X15),X15) = c_List_Odrop(X14,c_List_Obutlast(X13,X15),X15),
file('<stdin>',cls_butlast__drop_0) ).
fof(c_0_260,axiom,
! [X13,X25,X15] :
( c_List_Olist__all(X25,X13,X15)
| ~ c_List_Olist__all(X25,hAPP(c_List_Orev(X15),X13),X15) ),
file('<stdin>',cls_list__all__rev_0) ).
fof(c_0_261,axiom,
! [X21,X49,X25,X15] :
( hBOOL(hAPP(X49,X21))
| ~ c_lessequals(X25,X49,tc_fun(X15,tc_bool))
| ~ hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_rev__predicate1D_0) ).
fof(c_0_262,axiom,
! [X21,X49,X25,X15] :
( hBOOL(hAPP(X49,X21))
| ~ hBOOL(hAPP(X25,X21))
| ~ c_lessequals(X25,X49,tc_fun(X15,tc_bool)) ),
file('<stdin>',cls_predicate1D_0) ).
fof(c_0_263,axiom,
! [X20,X13,X15] : X13 = c_List_Otake(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),c_List_Oappend(X13,X20,X15),X15),
file('<stdin>',cls_append__eq__conv__conj_0) ).
fof(c_0_264,axiom,
! [X20,X13,X15] : X20 = c_List_Odrop(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),c_List_Oappend(X13,X20,X15),X15),
file('<stdin>',cls_append__eq__conv__conj_1) ).
fof(c_0_265,axiom,
! [X21,X15] : c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) = hAPP(c_List_Orev(X15),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15)),
file('<stdin>',cls_singleton__rev__conv_1) ).
fof(c_0_266,axiom,
! [X21,X15] : hAPP(c_List_Orev(X15),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15)) = c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_rev__singleton__conv_1) ).
fof(c_0_267,axiom,
! [X13,X14,X15] :
( c_List_Otake(X14,X13,X15) = X13
| ~ c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat) ),
file('<stdin>',cls_take__all_0) ).
fof(c_0_268,axiom,
! [X21,X14,X25,X15] :
( c_List_Ofilter(X25,c_List_Oreplicate(X14,X21,X15),X15) = c_List_Olist_ONil(X15)
| hBOOL(hAPP(X25,X21)) ),
file('<stdin>',cls_filter__replicate_1) ).
fof(c_0_269,axiom,
! [X13,X21,X15] : ~ c_List_Onull(c_List_Olist_OCons(X21,X13,X15),X15),
file('<stdin>',cls_List_Onull_Osimps_I2_J_0) ).
fof(c_0_270,axiom,
! [X13,X21,X15] :
( c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) != hAPP(c_List_Orev(X15),X13)
| X13 = c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) ),
file('<stdin>',cls_singleton__rev__conv_0) ).
fof(c_0_271,axiom,
! [X13,X21,X15] :
( hAPP(c_List_Orev(X15),X13) != c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15)
| X13 = c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) ),
file('<stdin>',cls_rev__singleton__conv_0) ).
fof(c_0_272,axiom,
! [X37,X3,X15] : c_lessequals(X3,c_Set_Oinsert(X37,X3,X15),tc_fun(X15,tc_bool)),
file('<stdin>',cls_subset__insertI_0) ).
fof(c_0_273,axiom,
! [X13,X14,X15] :
( c_List_Odrop(X14,X13,X15) != c_List_Olist_ONil(X15)
| c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat) ),
file('<stdin>',cls_drop__eq__Nil_0) ).
fof(c_0_274,axiom,
! [X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| X21 = X39
| ~ c_lessequals(X21,X39,X15)
| ~ c_lessequals(X39,X21,X15) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_275,axiom,
! [X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| X21 = X39
| ~ c_lessequals(X39,X21,X15)
| ~ c_lessequals(X21,X39,X15) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_276,axiom,
! [X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| X21 = X39
| ~ c_lessequals(X39,X21,X15)
| ~ c_lessequals(X21,X39,X15) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_277,axiom,
! [X21,X14,X15] : hAPP(c_List_Orev(X15),c_List_Oreplicate(X14,X21,X15)) = c_List_Oreplicate(X14,X21,X15),
file('<stdin>',cls_rev__replicate_0) ).
fof(c_0_278,axiom,
! [X13,X15] : c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X13,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),
file('<stdin>',cls_length__remdups__leq_0) ).
fof(c_0_279,axiom,
! [X39,X29,X21,X15] :
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X29,X39,X15) != c_HOL_Ominus__class_Ominus(X21,X21,X15)
| X29 = X39 ),
file('<stdin>',cls_eq__eqI_1) ).
fof(c_0_280,axiom,
! [X42,X43,X21,X15] :
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X21,X21,X15) != c_HOL_Ominus__class_Ominus(X43,X42,X15)
| X43 = X42 ),
file('<stdin>',cls_eq__eqI_0) ).
fof(c_0_281,axiom,
! [X1,X2,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
file('<stdin>',cls_knows__Spy__Gets_0) ).
fof(c_0_282,axiom,
! [X13,X25,X15] :
( c_List_Olist__all(X25,hAPP(c_List_Orev(X15),X13),X15)
| ~ c_List_Olist__all(X25,X13,X15) ),
file('<stdin>',cls_list__all__rev_1) ).
fof(c_0_283,axiom,
! [X62,X54,X46,X37,X15] :
( c_List_Olist_OCons(X37,X54,X15) != c_List_Olist_OCons(X46,X62,X15)
| X54 = X62 ),
file('<stdin>',cls_list_Oinject_1) ).
fof(c_0_284,axiom,
! [X62,X54,X46,X37,X15] :
( c_List_Olist_OCons(X37,X54,X15) != c_List_Olist_OCons(X46,X62,X15)
| X37 = X46 ),
file('<stdin>',cls_list_Oinject_0) ).
fof(c_0_285,axiom,
! [X51,X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != c_List_Oappend(X13,X51,X15)
| X20 = X51 ),
file('<stdin>',cls_same__append__eq_0) ).
fof(c_0_286,axiom,
! [X51,X20,X13,X15] :
( c_List_Oappend(X20,X13,X15) != c_List_Oappend(X51,X13,X15)
| X20 = X51 ),
file('<stdin>',cls_append__same__eq_0) ).
fof(c_0_287,axiom,
! [X39,X21,X14,X38,X15] :
( c_List_Oreplicate(X38,X21,X15) != c_List_Oreplicate(X14,X39,X15)
| X38 = X14 ),
file('<stdin>',cls_replicate__eq__replicate_0) ).
fof(c_0_288,axiom,
! [X6,X7,X11,X9,X12,X10] :
( c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OSays(X12,X11,X6)
| X10 = X12 ),
file('<stdin>',cls_event_Osimps_I1_J_0) ).
fof(c_0_289,axiom,
! [X6,X7,X11,X9,X12,X10] :
( c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OSays(X12,X11,X6)
| X9 = X11 ),
file('<stdin>',cls_event_Osimps_I1_J_1) ).
fof(c_0_290,axiom,
! [X6,X7,X11,X9,X12,X10] :
( c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OSays(X12,X11,X6)
| X7 = X6 ),
file('<stdin>',cls_event_Osimps_I1_J_2) ).
fof(c_0_291,axiom,
! [X72,X2,X15] :
( X2 = X72
| ~ hBOOL(hAPP(hAPP(c_fequal(X15),X2),X72)) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_292,axiom,
! [X14,X38] :
( X38 = X14
| ~ c_lessequals(X14,X38,tc_nat)
| ~ c_lessequals(X38,X14,tc_nat) ),
file('<stdin>',cls_le__antisym_0) ).
fof(c_0_293,axiom,
! [X13,X21,X15] : c_List_Oremove1(X21,c_List_Olist_OCons(X21,X13,X15),X15) = X13,
file('<stdin>',cls_remove1_Osimps_I2_J_0) ).
fof(c_0_294,axiom,
! [X14,X38] : c_lessequals(c_HOL_Ominus__class_Ominus(X38,X14,tc_nat),X38,tc_nat),
file('<stdin>',cls_diff__le__self_0) ).
fof(c_0_295,axiom,
! [X14,X38] : c_lessequals(c_Divides_Odiv__class_Omod(X38,X14,tc_nat),X38,tc_nat),
file('<stdin>',cls_mod__less__eq__dividend_0) ).
fof(c_0_296,axiom,
! [X13,X37,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X37,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
file('<stdin>',cls_sorted__remove1_0) ).
fof(c_0_297,axiom,
! [X13,X25,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X25,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
file('<stdin>',cls_sorted__dropWhile_0) ).
fof(c_0_298,axiom,
! [X13,X14,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Otake(X14,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
file('<stdin>',cls_sorted__take_0) ).
fof(c_0_299,axiom,
! [X13,X14,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X14,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
file('<stdin>',cls_sorted__drop_0) ).
fof(c_0_300,axiom,
! [X20,X15] : c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X15),X20,X15),X15) = c_List_Ohd(X20,X15),
file('<stdin>',cls_hd__append_0) ).
fof(c_0_301,axiom,
! [X13,X15] : c_List_Olast(c_List_Oappend(X13,c_List_Olist_ONil(X15),X15),X15) = c_List_Olast(X13,X15),
file('<stdin>',cls_last__append_0) ).
fof(c_0_302,axiom,
! [X13,X14,X15] : c_Nat_Osize__class_Osize(c_List_Orotate(X14,X13,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
file('<stdin>',cls_length__rotate_0) ).
fof(c_0_303,axiom,
! [X13,X15] : c_List_Obutlast(c_List_Oappend(X13,c_List_Olist_ONil(X15),X15),X15) = c_List_Obutlast(X13,X15),
file('<stdin>',cls_butlast__append_0) ).
fof(c_0_304,axiom,
! [X20,X13,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Oset(X13,X15) != c_List_Oset(X20,X15)
| ~ c_List_Odistinct(X20,X15)
| ~ c_List_Olinorder__class_Osorted(X20,X15)
| ~ c_List_Odistinct(X13,X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15)
| X13 = X20 ),
file('<stdin>',cls_sorted__distinct__set__unique_0) ).
fof(c_0_305,axiom,
! [X13,X14,X15] :
( c_List_Odistinct(c_List_Orotate(X14,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__rotate_1) ).
fof(c_0_306,axiom,
! [X13,X21,X15] :
( c_List_Odistinct(c_List_Oremove1(X21,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__remove1_0) ).
fof(c_0_307,axiom,
! [X13,X53,X15] :
( c_List_Odistinct(c_List_Osublist(X13,X53,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__sublistI_0) ).
fof(c_0_308,axiom,
! [X13,X25,X15] :
( c_List_Odistinct(c_List_OdropWhile(X25,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__dropWhile_0) ).
fof(c_0_309,axiom,
! [X13,X34,X15] :
( c_List_Odistinct(c_List_Otake(X34,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__take_0) ).
fof(c_0_310,axiom,
! [X13,X34,X15] :
( c_List_Odistinct(c_List_Odrop(X34,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__drop_0) ).
fof(c_0_311,axiom,
! [X13,X25,X15] :
( c_List_Odistinct(c_List_Ofilter(X25,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__filter_0) ).
fof(c_0_312,axiom,
! [X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) ),
file('<stdin>',cls_sorted_Osimps_I2_J_0) ).
fof(c_0_313,axiom,
! [X20,X13,X15] :
( c_List_Olast(c_List_Oappend(X13,X20,X15),X15) = c_List_Olast(X20,X15)
| X20 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_last__append_1) ).
fof(c_0_314,axiom,
! [X20,X13,X15] :
( c_List_Ohd(c_List_Oappend(X13,X20,X15),X15) = c_List_Ohd(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_hd__append_1) ).
fof(c_0_315,axiom,
! [X13,X21,X15] :
( c_List_Olast(c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olast(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_last_Osimps_1) ).
fof(c_0_316,axiom,
! [X21,X15] : c_List_Obutlast(c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_butlast_Osimps_I2_J_0) ).
fof(c_0_317,axiom,
! [X13,X14,X15] : c_List_Oset(c_List_Orotate(X14,X13,X15),X15) = c_List_Oset(X13,X15),
file('<stdin>',cls_set__rotate_0) ).
fof(c_0_318,axiom,
! [X21,X15] : c_List_Olast(c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) = X21,
file('<stdin>',cls_last_Osimps_0) ).
fof(c_0_319,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xmap__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_map_Oinduct_0) ).
fof(c_0_320,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlist__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list_Oinduct_0) ).
fof(c_0_321,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xremove1__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_remove1_Oinduct_0) ).
fof(c_0_322,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xdistinct__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_distinct_Oinduct_0) ).
fof(c_0_323,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xconcat__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_concat_Oinduct_0) ).
fof(c_0_324,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xtake__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_take_Oinduct_0) ).
fof(c_0_325,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__XdropWhile__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_dropWhile_Oinduct_0) ).
fof(c_0_326,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlistset__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listset_Oinduct_0) ).
fof(c_0_327,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xzip__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_zip_Oinduct_0) ).
fof(c_0_328,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xfoldl__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_foldl_Oinduct_0) ).
fof(c_0_329,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlist__update__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_list__update_Oinduct_0) ).
fof(c_0_330,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__XtakeWhile__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_takeWhile_Oinduct_0) ).
fof(c_0_331,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlast__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_last_Oinduct_0) ).
fof(c_0_332,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__XremoveAll__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_removeAll_Oinduct_0) ).
fof(c_0_333,axiom,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlistsum__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
file('<stdin>',cls_listsum_Oinduct_0) ).
fof(c_0_334,axiom,
! [X21,X14,X15] : c_Nat_Osize__class_Osize(c_List_Oreplicate(X14,X21,X15),tc_List_Olist(X15)) = X14,
file('<stdin>',cls_length__replicate_0) ).
fof(c_0_335,axiom,
! [X13,X21,X15] : c_List_Ohd(c_List_Olist_OCons(X21,X13,X15),X15) = X21,
file('<stdin>',cls_hd_Osimps_0) ).
fof(c_0_336,axiom,
! [X13,X21,X15] : c_List_Otl(c_List_Olist_OCons(X21,X13,X15),X15) = X13,
file('<stdin>',cls_tl_Osimps_I2_J_0) ).
fof(c_0_337,axiom,
! [X13,X15] :
( c_Nat_Osize__class_Osize(c_List_Oremdups(X13,X15),tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15))
| c_List_Oremdups(X13,X15) = X13 ),
file('<stdin>',cls_length__remdups__eq_0) ).
fof(c_0_338,axiom,
! [X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_lessequals(X39,X21,X15)
| c_lessequals(X21,X39,X15) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_339,axiom,
! [X6,X7,X8,X9,X10] : c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OGets(X8,X6),
file('<stdin>',cls_event_Osimps_I4_J_0) ).
fof(c_0_340,axiom,
! [X6,X7,X8,X9,X10] : c_Event_Oevent_OGets(X8,X6) != c_Event_Oevent_OSays(X10,X9,X7),
file('<stdin>',cls_event_Osimps_I5_J_0) ).
fof(c_0_341,axiom,
! [X21,X15] : hBOOL(hAPP(hAPP(c_fequal(X15),X21),X21)),
file('<stdin>',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(c_0_342,axiom,
! [X1,X5] : c_lessequals(c_Event_OinitState(X5),c_Event_Oknows(X5,X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_initState__subset__knows_0) ).
fof(c_0_343,axiom,
! [X14,X38] :
( c_lessequals(X14,X38,tc_nat)
| c_lessequals(X38,X14,tc_nat) ),
file('<stdin>',cls_nat__le__linear_0) ).
fof(c_0_344,axiom,
! [X20,X13,X15] :
( c_List_Olist_ONil(X15) != c_List_Oappend(X13,X20,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_Nil__is__append__conv_0) ).
fof(c_0_345,axiom,
! [X20,X13,X15] :
( c_List_Olist_ONil(X15) != c_List_Oappend(X13,X20,X15)
| X20 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_Nil__is__append__conv_1) ).
fof(c_0_346,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_append__is__Nil__conv_0) ).
fof(c_0_347,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != c_List_Olist_ONil(X15)
| X20 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_append__is__Nil__conv_1) ).
fof(c_0_348,axiom,
! [X13,X14,X15] :
( c_List_Orotate(X14,X13,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_rotate__is__Nil__conv_0) ).
fof(c_0_349,axiom,
! [X13,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X15),X13),X15) ),
file('<stdin>',cls_distinct__rev_0) ).
fof(c_0_350,axiom,
! [X25,X15] : ~ c_List_Olist__ex(X25,c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_list__ex_Osimps_I1_J_0) ).
fof(c_0_351,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != X13
| X20 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_append__self__conv_0) ).
fof(c_0_352,axiom,
! [X20,X13,X15] :
( X13 != c_List_Oappend(X13,X20,X15)
| X20 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_self__append__conv_0) ).
fof(c_0_353,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != X20
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_append__self__conv2_0) ).
fof(c_0_354,axiom,
! [X20,X13,X15] :
( X20 != c_List_Oappend(X13,X20,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_self__append__conv2_0) ).
fof(c_0_355,axiom,
! [X62,X46,X15] : c_List_Olist_OCons(X46,X62,X15) != c_List_Olist_ONil(X15),
file('<stdin>',cls_list_Osimps_I3_J_0) ).
fof(c_0_356,axiom,
! [X29,X21,X15] : c_List_Olist_OCons(X21,X29,X15) != c_List_Olist_ONil(X15),
file('<stdin>',cls_neq__Nil__conv_1) ).
fof(c_0_357,axiom,
! [X62,X46,X15] : c_List_Olist_ONil(X15) != c_List_Olist_OCons(X46,X62,X15),
file('<stdin>',cls_list_Osimps_I2_J_0) ).
fof(c_0_358,axiom,
! [X13,X15] :
( c_List_Oremdups(X13,X15) != X13
| c_Nat_Osize__class_Osize(c_List_Oremdups(X13,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) ),
file('<stdin>',cls_length__remdups__eq_1) ).
fof(c_0_359,axiom,
! [X13,X21,X15] : X13 != c_List_Olist_OCons(X21,X13,X15),
file('<stdin>',cls_not__Cons__self_0) ).
fof(c_0_360,axiom,
! [X21,X60,X15] : c_List_Olist_OCons(X21,X60,X15) != X60,
file('<stdin>',cls_not__Cons__self2_0) ).
fof(c_0_361,axiom,
! [X13,X15] : c_Nat_Osize__class_Osize(hAPP(c_List_Orev(X15),X13),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
file('<stdin>',cls_length__rev_0) ).
fof(c_0_362,axiom,
! [X13,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Orotate1(X13,X15),X15) ),
file('<stdin>',cls_distinct1__rotate_0) ).
fof(c_0_363,axiom,
! [X5,X15] : c_lessequals(X5,X5,tc_fun(X15,tc_bool)),
file('<stdin>',cls_subset__refl_0) ).
fof(c_0_364,axiom,
! [X21,X15] : c_lessequals(X21,X21,tc_fun(X15,tc_bool)),
file('<stdin>',cls_equalityE_0) ).
fof(c_0_365,axiom,
! [X13,X15] :
( c_List_Odistinct(hAPP(c_List_Orev(X15),X13),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__rev_1) ).
fof(c_0_366,axiom,
! [X13,X15] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X15)
| c_List_Olistsum(hAPP(c_List_Orev(X15),X13),X15) = c_List_Olistsum(X13,X15) ),
file('<stdin>',cls_listsum__rev_0) ).
fof(c_0_367,axiom,
! [X13,X15] :
( c_List_Olast(hAPP(c_List_Orev(X15),X13),X15) = c_List_Ohd(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_last__rev_0) ).
fof(c_0_368,axiom,
! [X13,X15] :
( c_List_Ohd(hAPP(c_List_Orev(X15),X13),X15) = c_List_Olast(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_hd__rev_0) ).
fof(c_0_369,axiom,
! [X15] : c_List_Olist_ONil(X15) = c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_Nil__is__append__conv_2) ).
fof(c_0_370,axiom,
! [X15] : c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_append__is__Nil__conv_2) ).
fof(c_0_371,axiom,
! [X44,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X44,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X44,X15) ),
file('<stdin>',cls_sorted__remdups_0) ).
fof(c_0_372,axiom,
! [X13,X15] : c_List_Oset(hAPP(c_List_Orev(X15),X13),X15) = c_List_Oset(X13,X15),
file('<stdin>',cls_set__rev_0) ).
fof(c_0_373,axiom,
! [X13,X15] : c_Nat_Osize__class_Osize(c_List_Orotate1(X13,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
file('<stdin>',cls_length__rotate1_0) ).
fof(c_0_374,axiom,
! [X20,X13,X15] :
( hAPP(c_List_Orev(X15),X13) != hAPP(c_List_Orev(X15),X20)
| X13 = X20 ),
file('<stdin>',cls_rev__is__rev__conv_0) ).
fof(c_0_375,axiom,
! [X14,X15] : c_List_Orotate(X14,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_rotate__is__Nil__conv_1) ).
fof(c_0_376,axiom,
! [X21,X15] : c_List_Oremove1(X21,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_remove1_Osimps_I1_J_0) ).
fof(c_0_377,axiom,
! [X25,X15] : c_List_Ofilter(X25,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_filter_Osimps_I1_J_0) ).
fof(c_0_378,axiom,
! [X5,X15] : c_List_Osublist(c_List_Olist_ONil(X15),X5,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_sublist__nil_0) ).
fof(c_0_379,axiom,
! [X14,X15] : c_List_Otake(X14,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_take__eq__Nil_2) ).
fof(c_0_380,axiom,
! [X25,X15] : c_List_OdropWhile(X25,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_dropWhile_Osimps_I1_J_0) ).
fof(c_0_381,axiom,
! [X65,X15] : c_List_Olist__inter(c_List_Olist_ONil(X15),X65,X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_list__inter_Osimps_I1_J_0) ).
fof(c_0_382,axiom,
! [X14,X15] : c_List_Odrop(X14,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_drop__Nil_0) ).
fof(c_0_383,axiom,
! [X13,X15] :
( c_List_Odistinct(c_List_Orotate1(X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct1__rotate_1) ).
fof(c_0_384,axiom,
! [X21,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_lessequals(X21,X21,X15) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_385,axiom,
! [X21,X15] :
( ~ class_Orderings_Oorder(X15)
| c_lessequals(X21,X21,X15) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_386,axiom,
! [X13,X15] : c_List_Oappend(X13,c_List_Olist_ONil(X15),X15) = X13,
file('<stdin>',cls_append__Nil2_0) ).
fof(c_0_387,axiom,
! [X21,X15] : X21 = c_List_Oappend(c_List_Olist_ONil(X15),X21,X15),
file('<stdin>',cls_eq__Nil__appendI_0) ).
fof(c_0_388,axiom,
! [X13,X15] : X13 = c_List_Oappend(X13,c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_self__append__conv_1) ).
fof(c_0_389,axiom,
! [X20,X15] : c_List_Oappend(c_List_Olist_ONil(X15),X20,X15) = X20,
file('<stdin>',cls_append__Nil_0) ).
fof(c_0_390,axiom,
! [X20,X15] : X20 = c_List_Oappend(c_List_Olist_ONil(X15),X20,X15),
file('<stdin>',cls_self__append__conv2_1) ).
fof(c_0_391,axiom,
! [X25,X15] : c_List_Olist__all(X25,c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_list__all_Osimps_I1_J_0) ).
fof(c_0_392,axiom,
! [X5,X15] : c_List_Olistsp(X5,c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_listsp_ONil_0) ).
fof(c_0_393,axiom,
! [X13,X15] : X13 = hAPP(c_List_Orev(X15),hAPP(c_List_Orev(X15),X13)),
file('<stdin>',cls_rev__swap_0) ).
fof(c_0_394,axiom,
! [X20,X15] : hAPP(c_List_Orev(X15),hAPP(c_List_Orev(X15),X20)) = X20,
file('<stdin>',cls_rev__swap_1) ).
fof(c_0_395,axiom,
! [X13,X15] : hAPP(c_List_Orev(X15),hAPP(c_List_Orev(X15),X13)) = X13,
file('<stdin>',cls_rev__rev__ident_0) ).
fof(c_0_396,axiom,
! [X13,X15] : c_List_Oset(c_List_Oremdups(X13,X15),X15) = c_List_Oset(X13,X15),
file('<stdin>',cls_set__remdups_0) ).
fof(c_0_397,axiom,
! [X13,X15] : c_List_Oset(c_List_Orotate1(X13,X15),X15) = c_List_Oset(X13,X15),
file('<stdin>',cls_set__rotate1_0) ).
fof(c_0_398,axiom,
! [X21] : c_lessequals(X21,X21,tc_nat),
file('<stdin>',cls_eq__imp__le_0) ).
fof(c_0_399,axiom,
! [X14] : c_lessequals(X14,X14,tc_nat),
file('<stdin>',cls_le__refl_0) ).
fof(c_0_400,axiom,
! [X6,X7,X8,X64] :
( c_Event_Oevent_OGets(X64,X7) != c_Event_Oevent_OGets(X8,X6)
| X64 = X8 ),
file('<stdin>',cls_event_Osimps_I2_J_0) ).
fof(c_0_401,axiom,
! [X6,X7,X8,X64] :
( c_Event_Oevent_OGets(X64,X7) != c_Event_Oevent_OGets(X8,X6)
| X7 = X6 ),
file('<stdin>',cls_event_Osimps_I2_J_1) ).
fof(c_0_402,axiom,
! [X13,X15] :
( hAPP(c_List_Orev(X15),X13) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_rev__is__Nil__conv_0) ).
fof(c_0_403,axiom,
! [X13,X15] :
( c_List_Olist_ONil(X15) != hAPP(c_List_Orev(X15),X13)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_Nil__is__rev__conv_0) ).
fof(c_0_404,axiom,
! [X13,X15] : c_List_Odistinct(c_List_Oremdups(X13,X15),X15),
file('<stdin>',cls_distinct__remdups_0) ).
fof(c_0_405,axiom,
! [X13,X15] :
( c_List_Oremdups(X13,X15) != X13
| c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_remdups__id__iff__distinct_0) ).
fof(c_0_406,axiom,
! [X13,X15] :
( c_List_Oremdups(X13,X15) = X13
| ~ c_List_Odistinct(X13,X15) ),
file('<stdin>',cls_distinct__remdups__id_0) ).
fof(c_0_407,axiom,
! [X70,X71] :
( class_HOL_Oord(tc_fun(X70,X71))
| ~ class_HOL_Oord(X71) ),
file('<stdin>',clsarity_fun__HOL_Oord) ).
fof(c_0_408,axiom,
! [X70,X71] :
( class_Orderings_Oorder(tc_fun(X70,X71))
| ~ class_Orderings_Oorder(X71) ),
file('<stdin>',clsarity_fun__Orderings_Oorder) ).
fof(c_0_409,axiom,
! [X70,X71] :
( class_Orderings_Opreorder(tc_fun(X70,X71))
| ~ class_Orderings_Opreorder(X71) ),
file('<stdin>',clsarity_fun__Orderings_Opreorder) ).
fof(c_0_410,axiom,
! [X21,X15] :
( c_List_Olist_ONil(X15) != c_List_Oremdups(X21,X15)
| X21 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_remdups__eq__nil__right__iff_0) ).
fof(c_0_411,axiom,
! [X13,X15] :
( c_List_Orotate1(X13,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_rotate1__is__Nil__conv_0) ).
fof(c_0_412,axiom,
! [X21,X15] :
( c_List_Oremdups(X21,X15) != c_List_Olist_ONil(X15)
| X21 = c_List_Olist_ONil(X15) ),
file('<stdin>',cls_remdups__eq__nil__iff_0) ).
fof(c_0_413,axiom,
! [X15] : hAPP(c_List_Orev(X15),c_List_Olist_ONil(X15)) = c_List_Olist_ONil(X15),
file('<stdin>',cls_rev__is__Nil__conv_1) ).
fof(c_0_414,axiom,
! [X15] : c_List_Olist_ONil(X15) = hAPP(c_List_Orev(X15),c_List_Olist_ONil(X15)),
file('<stdin>',cls_Nil__is__rev__conv_1) ).
fof(c_0_415,axiom,
! [X13,X15] :
( X13 = c_List_Olist_ONil(X15)
| ~ c_List_Onull(X13,X15) ),
file('<stdin>',cls_empty__null_1) ).
fof(c_0_416,axiom,
! [X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X15),X15) ),
file('<stdin>',cls_sorted_Osimps_I1_J_0) ).
fof(c_0_417,axiom,
! [X15] : c_List_Orotate1(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_rotate__simps_0) ).
fof(c_0_418,axiom,
! [X15] : c_List_Oremdups(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_remdups__eq__nil__iff_1) ).
fof(c_0_419,axiom,
! [X15] : c_List_Olist_ONil(X15) = c_List_Oremdups(c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_remdups__eq__nil__right__iff_1) ).
fof(c_0_420,axiom,
! [X15] : c_List_Obutlast(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_butlast_Osimps_I1_J_0) ).
fof(c_0_421,axiom,
! [X15] : c_List_Otl(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
file('<stdin>',cls_tl_Osimps_I1_J_0) ).
fof(c_0_422,axiom,
! [X5] : c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X5),
file('<stdin>',cls_knows__Nil_0) ).
fof(c_0_423,axiom,
! [X15] : c_List_Onull(c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_empty__null_0) ).
fof(c_0_424,axiom,
! [X15] : c_List_Odistinct(c_List_Olist_ONil(X15),X15),
file('<stdin>',cls_distinct_Osimps_I1_J_0) ).
fof(c_0_425,axiom,
! [X55,X61] :
( c_Message_Oagent_OFriend(X61) != c_Message_Oagent_OFriend(X55)
| X61 = X55 ),
file('<stdin>',cls_agent_Oinject_0) ).
fof(c_0_426,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
file('<stdin>',cls_ns__sharedp_ONil_0) ).
fof(c_0_427,axiom,
! [X61] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X61),
file('<stdin>',cls_agent_Osimps_I7_J_0) ).
fof(c_0_428,axiom,
! [X61] : c_Message_Oagent_OFriend(X61) != c_Message_Oagent_OSpy,
file('<stdin>',cls_agent_Osimps_I6_J_0) ).
fof(c_0_429,axiom,
! [X55] : c_Message_Oagent_OFriend(X55) != c_Message_Oagent_OServer,
file('<stdin>',cls_agent_Osimps_I3_J_0) ).
fof(c_0_430,axiom,
! [X55] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X55),
file('<stdin>',cls_agent_Osimps_I2_J_0) ).
fof(c_0_431,axiom,
class_HOL_Oord(tc_bool),
file('<stdin>',clsarity_bool__HOL_Oord) ).
fof(c_0_432,axiom,
class_Orderings_Oorder(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Oorder) ).
fof(c_0_433,axiom,
class_Orderings_Opreorder(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Opreorder) ).
fof(c_0_434,axiom,
class_HOL_Oord(tc_nat),
file('<stdin>',clsarity_nat__HOL_Oord) ).
fof(c_0_435,axiom,
class_Orderings_Oorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Oorder) ).
fof(c_0_436,axiom,
class_Orderings_Olinorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Olinorder) ).
fof(c_0_437,axiom,
class_Orderings_Opreorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Opreorder) ).
fof(c_0_438,axiom,
class_Divides_Osemiring__div(tc_nat),
file('<stdin>',clsarity_nat__Divides_Osemiring__div) ).
fof(c_0_439,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('<stdin>',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
fof(c_0_440,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('<stdin>',cls_agent_Osimps_I5_J_0) ).
fof(c_0_441,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('<stdin>',cls_agent_Osimps_I4_J_0) ).
fof(c_0_442,plain,
! [X33,X29,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_List_Olist_Olist__case(X24,X23,c_List_Olist_OCons(X29,X33,t_b),t_a,t_b)))
| hBOOL(hAPP(X25,hAPP(hAPP(X23,X29),X33))) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_443,plain,
! [X54,X23,X24,X37,X25] :
( ~ hBOOL(hAPP(X25,c_List_Olist_Olist__case(X24,X23,c_List_Olist_OCons(X37,X54,t_b),t_a,t_b)))
| hBOOL(hAPP(X25,hAPP(hAPP(X23,X37),X54))) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_444,plain,
! [X29,X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OFriend(X29),t_a)))
| hBOOL(hAPP(X25,hAPP(X23,X29))) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_445,plain,
! [X61,X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OFriend(X61),t_a)))
| hBOOL(hAPP(X25,hAPP(X23,X61))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_446,plain,
! [X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_List_Olist_Olist__case(X24,X23,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_447,plain,
! [X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OSpy,t_a)))
| hBOOL(hAPP(X25,X22)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_448,plain,
! [X22,X23,X24,X25] :
( ~ hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OServer,t_a)))
| hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_449,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_450,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_451,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_452,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_453,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_454,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_455,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_456,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X25,hAPP(X23,v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))))
| X21 = c_Message_Oagent_OServer ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_457,plain,
! [X20,X13,X29,X21,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X29,tc_List_Olist(X32)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X15))
| c_Nat_Osize__class_Osize(X21,tc_List_Olist(X32)) != c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15))
| c_List_Olist__all2(X25,c_List_Oappend(X13,X20,X15),c_List_Oappend(X21,X29,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X20,X29,X15,X32)
| ~ c_List_Olist__all2(X25,X13,X21,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_458,plain,
! [X51,X20,X29,X21,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X29,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X51,tc_List_Olist(X32))
| c_Nat_Osize__class_Osize(X21,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,c_List_Oappend(X21,X29,X15),c_List_Oappend(X20,X51,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X29,X51,X15,X32)
| ~ c_List_Olist__all2(X25,X21,X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_459,plain,
! [X20,X13,X58,X59,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,c_List_Oappend(X13,X59,X15),c_List_Oappend(X20,X58,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X59,X58,X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_460,plain,
! [X56,X35,X36,X37,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Oappend(X37,X35,X15),c_List_Oappend(X36,X56,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X35,X56,X15,X32)
| ~ c_List_Olist__all2(X25,X37,X36,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_461,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_462,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_463,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_464,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| ~ hBOOL(hAPP(X25,X22))
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_465,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_466,plain,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| ~ hBOOL(hAPP(X25,X24)) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_467,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
c_0_25 ).
fof(c_0_468,axiom,
! [X21,X22,X23,X24,X25] :
( hBOOL(hAPP(X25,c_Message_Oagent_Oagent__case(X24,X23,X22,X21,t_a)))
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X25,X23,X21))
| X21 = c_Message_Oagent_OServer ),
c_0_26 ).
fof(c_0_469,axiom,
! [X20,X13,X31,X37,X32,X15] : c_List_Ofoldr(X31,c_List_Oappend(X13,X20,X32),X37,X32,X15) = c_List_Ofoldr(X31,X13,c_List_Ofoldr(X31,X20,X37,X32,X15),X32,X15),
c_0_27 ).
fof(c_0_470,axiom,
! [X20,X13,X31,X37,X32,X15] : c_List_Ofoldl(X31,X37,c_List_Oappend(X13,X20,X32),X15,X32) = c_List_Ofoldl(X31,c_List_Ofoldl(X31,X37,X13,X15,X32),X20,X15,X32),
c_0_28 ).
fof(c_0_471,axiom,
! [X21,X26,X27,X28,X22,X23,X24,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X21,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X21,X23,X27,X15))
| X21 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X24,X23,X22,X21,X15) = c_Message_Oagent_Oagent__case(X28,X27,X26,X21,X15)
| X21 = c_Message_Oagent_OSpy ),
c_0_29 ).
fof(c_0_472,axiom,
! [X29,X21,X27,X28,X23,X24,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15))
| X29 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X24,X23,X21,X29,X15) = c_Message_Oagent_Oagent__case(X28,X27,X21,X29,X15) ),
c_0_30 ).
fof(c_0_473,axiom,
! [X29,X21,X26,X27,X22,X23,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15))
| c_Message_Oagent_Oagent__case(X21,X23,X22,X29,X15) = c_Message_Oagent_Oagent__case(X21,X27,X26,X29,X15)
| X29 = c_Message_Oagent_OSpy ),
c_0_31 ).
fof(c_0_474,axiom,
! [X33,X29,X21,X27,X23,X15] :
( hAPP(X23,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X33,X23,X27,X15)) != hAPP(X27,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X33,X23,X27,X15))
| c_Message_Oagent_Oagent__case(X29,X23,X21,X33,X15) = c_Message_Oagent_Oagent__case(X29,X27,X21,X33,X15) ),
c_0_32 ).
fof(c_0_475,axiom,
! [X54,X23,X24,X37,X32,X15] : c_List_Olist_Olist__rec(X24,X23,c_List_Olist_OCons(X37,X54,X32),X15,X32) = hAPP(hAPP(hAPP(X23,X37),X54),c_List_Olist_Olist__rec(X24,X23,X54,X15,X32)),
c_0_33 ).
fof(c_0_476,axiom,
! [X13,X21,X31,X37,X32,X15] : c_List_Ofoldr(X31,c_List_Olist_OCons(X21,X13,X32),X37,X32,X15) = hAPP(hAPP(X31,X21),c_List_Ofoldr(X31,X13,X37,X32,X15)),
c_0_34 ).
fof(c_0_477,plain,
! [X20,X13,X58,X59,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,X59,X58,X15,X32)
| ~ c_List_Olist__all2(X25,c_List_Oappend(X13,X59,X15),c_List_Oappend(X20,X58,X32),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_478,plain,
! [X20,X13,X58,X59,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ c_List_Olist__all2(X25,c_List_Oappend(X13,X59,X15),c_List_Oappend(X20,X58,X32),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_479,plain,
! [X20,X39,X29,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X29,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X29,X20,X15,X32)
| ~ hBOOL(hAPP(hAPP(X25,X21),X39)) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_480,plain,
! [X13,X33,X29,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X29,X33,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X33,X15,X32)
| ~ hBOOL(hAPP(hAPP(X25,X21),X29)) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_481,plain,
! [X20,X39,X13,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ hBOOL(hAPP(hAPP(X25,X21),X39)) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_482,plain,
! [X20,X39,X13,X21,X25,X32,X15] :
( c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_483,plain,
! [X14,X65,X66,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Odrop(X14,X66,X15),c_List_Odrop(X14,X65,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X66,X65,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_484,plain,
! [X20,X13,X14,X25,X32,X15] :
( c_List_Olist__all2(X25,c_List_Otake(X14,X13,X15),c_List_Otake(X14,X20,X32),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_485,plain,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,X13,X20,X15,X32)
| ~ c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),hAPP(c_List_Orev(X32),X20),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_486,plain,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,X13,hAPP(c_List_Orev(X32),X20),X15,X32)
| ~ c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_487,plain,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),X20,X15,X32)
| ~ c_List_Olist__all2(X25,X13,hAPP(c_List_Orev(X32),X20),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_488,plain,
! [X20,X13,X25,X32,X15] :
( c_List_Olist__all2(X25,hAPP(c_List_Orev(X15),X13),hAPP(c_List_Orev(X32),X20),X15,X32)
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_489,axiom,
! [X21,X26,X27,X28,X22,X23,X24,X15] :
( c_Message_Oagent_Oagent__case(X24,X23,X22,X21,X15) = c_Message_Oagent_Oagent__case(X28,X27,X26,X21,X15)
| X21 = c_Message_Oagent_OSpy
| X21 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X21,X23,X27,X15))
| X21 = c_Message_Oagent_OServer ),
c_0_47 ).
fof(c_0_490,axiom,
! [X29,X21,X27,X28,X23,X24,X15] :
( X29 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15))
| X29 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X24,X23,X21,X29,X15) = c_Message_Oagent_Oagent__case(X28,X27,X21,X29,X15) ),
c_0_48 ).
fof(c_0_491,axiom,
! [X29,X21,X26,X27,X22,X23,X15] :
( c_Message_Oagent_Oagent__case(X21,X23,X22,X29,X15) = c_Message_Oagent_Oagent__case(X21,X27,X26,X29,X15)
| X29 = c_Message_Oagent_OSpy
| X29 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X23,X27,X15)) ),
c_0_49 ).
fof(c_0_492,axiom,
! [X33,X29,X21,X27,X23,X15] :
( X33 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X33,X23,X27,X15))
| c_Message_Oagent_Oagent__case(X29,X23,X21,X33,X15) = c_Message_Oagent_Oagent__case(X29,X27,X21,X33,X15) ),
c_0_50 ).
fof(c_0_493,axiom,
! [X13,X21,X31,X37,X32,X15] : c_List_Ofoldl(X31,X37,c_List_Olist_OCons(X21,X13,X32),X15,X32) = c_List_Ofoldl(X31,hAPP(hAPP(X31,X37),X21),X13,X15,X32),
c_0_51 ).
fof(c_0_494,axiom,
! [X51,X20,X13,X38,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_Map_Omap__upds(X38,X13,c_List_Oappend(X20,X51,X32),X15,X32) = c_Map_Omap__upds(X38,X13,X20,X15,X32) ),
c_0_52 ).
fof(c_0_495,axiom,
! [X51,X20,X13,X38,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| c_Map_Omap__upds(X38,c_List_Oappend(X13,X51,X15),X20,X15,X32) = c_Map_Omap__upds(X38,X13,X20,X15,X32) ),
c_0_53 ).
fof(c_0_496,plain,
! [X20,X39,X13,X21,X25,X32,X15] :
( hBOOL(hAPP(hAPP(X25,X21),X39))
| ~ c_List_Olist__all2(X25,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X32),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_497,axiom,
! [X16,X17,X19,X15] :
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15),X15) != X16
| c_List_Otake(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15) != X17
| X19 != c_List_Otake(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15)
| c_List_Oappend(X19,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15),X15) = c_List_Oappend(X17,X16,X15) ),
c_0_55 ).
fof(c_0_498,plain,
! [X20,X13,X25,X32,X15] :
( c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32))
| ~ c_List_Olist__all2(X25,X13,X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_499,plain,
! [X20,X25,X32,X15] :
( X20 = c_List_Olist_ONil(X32)
| ~ c_List_Olist__all2(X25,c_List_Olist_ONil(X15),X20,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_500,plain,
! [X13,X25,X32,X15] :
( X13 = c_List_Olist_ONil(X15)
| ~ c_List_Olist__all2(X25,X13,c_List_Olist_ONil(X32),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_501,plain,
! [X20,X13,X15] :
( X13 = X20
| ~ c_List_Olist__all2(c_fequal(X15),X13,X20,X15,X15) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_502,axiom,
! [X39,X13,X40,X31,X32,X15] : c_List_Omap(X31,c_List_Olist__update(X13,X40,X39,X32),X32,X15) = c_List_Olist__update(c_List_Omap(X31,X13,X32,X15),X40,hAPP(X31,X39),X15),
c_0_60 ).
fof(c_0_503,axiom,
! [X13,X43,X21,X67,X34,X15] :
( c_List_Olist__update(c_List_Olist__update(X13,X34,X21,X15),X67,X43,X15) = c_List_Olist__update(c_List_Olist__update(X13,X67,X43,X15),X34,X21,X15)
| X34 = X67 ),
c_0_61 ).
fof(c_0_504,axiom,
! [X20,X13,X31,X32,X15] : c_List_Omap(X31,c_List_Oappend(X13,X20,X32),X32,X15) = c_List_Oappend(c_List_Omap(X31,X13,X32,X15),c_List_Omap(X31,X20,X32,X15),X15),
c_0_62 ).
fof(c_0_505,axiom,
! [X54,X23,X24,X37,X32,X15] : c_List_Olist_Olist__case(X24,X23,c_List_Olist_OCons(X37,X54,X32),X15,X32) = hAPP(hAPP(X23,X37),X54),
c_0_63 ).
fof(c_0_506,axiom,
! [X13,X14,X15] : c_List_Orotate(X14,hAPP(c_List_Orev(X15),X13),X15) = hAPP(c_List_Orev(X15),c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),tc_nat),X13,X15)),
c_0_64 ).
fof(c_0_507,axiom,
! [X13,X21,X34,X15] : c_lessequals(c_List_Oset(c_List_Olist__update(X13,X34,X21,X15),X15),c_Set_Oinsert(X21,c_List_Oset(X13,X15),X15),tc_fun(X15,tc_bool)),
c_0_65 ).
fof(c_0_508,axiom,
! [X61,X22,X23,X24,X15] : c_Message_Oagent_Oagent__rec(X24,X23,X22,c_Message_Oagent_OFriend(X61),X15) = hAPP(X23,X61),
c_0_66 ).
fof(c_0_509,axiom,
! [X61,X22,X23,X24,X15] : c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OFriend(X61),X15) = hAPP(X23,X61),
c_0_67 ).
fof(c_0_510,axiom,
! [X25,X32,X15] : c_List_Olist__all2(X25,c_List_Olist_ONil(X15),c_List_Olist_ONil(X32),X15,X32),
c_0_68 ).
fof(c_0_511,axiom,
! [X23,X24,X32,X15] : c_List_Olist_Olist__case(X24,X23,c_List_Olist_ONil(X32),X15,X32) = X24,
c_0_69 ).
fof(c_0_512,axiom,
! [X38,X65,X32,X15] : c_Map_Omap__upds(X38,c_List_Olist_ONil(X15),X65,X15,X32) = X38,
c_0_70 ).
fof(c_0_513,axiom,
! [X38,X66,X32,X15] : c_Map_Omap__upds(X38,X66,c_List_Olist_ONil(X32),X15,X32) = X38,
c_0_71 ).
fof(c_0_514,axiom,
! [X23,X24,X32,X15] : c_List_Olist_Olist__rec(X24,X23,c_List_Olist_ONil(X32),X15,X32) = X24,
c_0_72 ).
fof(c_0_515,axiom,
! [X31,X37,X32,X15] : c_List_Ofoldr(X31,c_List_Olist_ONil(X32),X37,X32,X15) = X37,
c_0_73 ).
fof(c_0_516,axiom,
! [X31,X37,X32,X15] : c_List_Ofoldl(X31,X37,c_List_Olist_ONil(X32),X15,X32) = X37,
c_0_74 ).
fof(c_0_517,axiom,
! [X21,X15] : c_List_Olist__all2(c_fequal(X15),X21,X21,X15,X15),
c_0_75 ).
fof(c_0_518,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__rec(X24,X23,X22,c_Message_Oagent_OSpy,X15) = X22,
c_0_76 ).
fof(c_0_519,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OSpy,X15) = X22,
c_0_77 ).
fof(c_0_520,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__rec(X24,X23,X22,c_Message_Oagent_OServer,X15) = X24,
c_0_78 ).
fof(c_0_521,axiom,
! [X22,X23,X24,X15] : c_Message_Oagent_Oagent__case(X24,X23,X22,c_Message_Oagent_OServer,X15) = X24,
c_0_79 ).
fof(c_0_522,plain,
! [X13,X31,X32,X15] :
( c_Fun_Oinj__on(X31,c_List_Oset(X13,X32),X32,X15)
| ~ c_List_Odistinct(c_List_Omap(X31,X13,X32,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_523,axiom,
! [X13,X14,X15] : c_List_Orotate(X14,X13,X15) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X13,X15),c_List_Otake(c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X13,X15),X15),
c_0_81 ).
fof(c_0_524,axiom,
! [X39,X13,X21,X34,X15] : c_List_Olist__update(c_List_Olist__update(X13,X34,X21,X15),X34,X39,X15) = c_List_Olist__update(X13,X34,X39,X15),
c_0_82 ).
fof(c_0_525,plain,
! [X20,X39,X13,X21,X63,X15] :
( c_List_Olistrelp(X63,c_List_Olist_OCons(X21,X13,X15),c_List_Olist_OCons(X39,X20,X15),X15)
| ~ c_List_Olistrelp(X63,X13,X20,X15)
| ~ hBOOL(hAPP(hAPP(X63,X21),X39)) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_526,plain,
! [X13,X31,X32,X15] :
( c_List_Odistinct(c_List_Omap(X31,X13,X32,X15),X15)
| ~ c_Fun_Oinj__on(X31,c_List_Oset(X13,X32),X32,X15)
| ~ c_List_Odistinct(X13,X32) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_527,plain,
! [X16,X17,X19,X15] :
( X19 != c_List_Otake(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15)
| c_List_Oappend(X19,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15),X15) = c_List_Oappend(X17,X16,X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_528,axiom,
! [X13,X21,X31,X32,X15] : c_List_Omap(X31,c_List_Olist_OCons(X21,X13,X32),X32,X15) = c_List_Olist_OCons(hAPP(X31,X21),c_List_Omap(X31,X13,X32,X15),X15),
c_0_86 ).
fof(c_0_529,axiom,
! [X33,X29,X31,X32,X15] : c_List_Olist_OCons(hAPP(X31,X29),c_List_Omap(X31,X33,X32,X15),X15) = c_List_Omap(X31,c_List_Olist_OCons(X29,X33,X32),X32,X15),
c_0_87 ).
fof(c_0_530,axiom,
! [X29,X21,X31,X32,X15] : c_List_Omap(X31,c_List_Olist_OCons(X21,X29,X32),X32,X15) = c_List_Olist_OCons(hAPP(X31,X21),c_List_Omap(X31,X29,X32,X15),X15),
c_0_88 ).
fof(c_0_531,axiom,
! [X13,X14,X31,X32,X15] : c_List_Odrop(X14,c_List_Omap(X31,X13,X32,X15),X15) = c_List_Omap(X31,c_List_Odrop(X14,X13,X32),X32,X15),
c_0_89 ).
fof(c_0_532,axiom,
! [X13,X14,X31,X32,X15] : c_List_Orotate(X14,c_List_Omap(X31,X13,X32,X15),X15) = c_List_Omap(X31,c_List_Orotate(X14,X13,X32),X32,X15),
c_0_90 ).
fof(c_0_533,axiom,
! [X13,X14,X31,X32,X15] : c_List_Otake(X14,c_List_Omap(X31,X13,X32,X15),X15) = c_List_Omap(X31,c_List_Otake(X14,X13,X32),X32,X15),
c_0_91 ).
fof(c_0_534,plain,
! [X13,X25,X15] :
( ~ hBOOL(hAPP(X25,c_List_Ohd(c_List_OdropWhile(X25,X13,X15),X15)))
| c_List_OdropWhile(X25,X13,X15) = c_List_Olist_ONil(X15) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_535,axiom,
! [X17,X18,X19,X15] :
( c_List_Otake(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15) != X17
| c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat)
| c_List_Oappend(X19,X18,X15) = c_List_Oappend(X17,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15),X18,X15),X15) ),
c_0_93 ).
fof(c_0_536,axiom,
! [X1,X2,X3,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
c_0_94 ).
fof(c_0_537,axiom,
! [X20,X13,X31,X32,X15] :
( c_List_Omap(X31,X13,X32,X15) != c_List_Omap(X31,X20,X32,X15)
| c_Nat_Osize__class_Osize(X13,tc_List_Olist(X32)) = c_Nat_Osize__class_Osize(X20,tc_List_Olist(X32)) ),
c_0_95 ).
fof(c_0_538,plain,
! [X13,X31,X32,X15] :
( c_List_Odistinct(X13,X32)
| ~ c_List_Odistinct(c_List_Omap(X31,X13,X32,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_539,plain,
! [X13,X31,X32,X15] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X32)
| c_Finite__Set_Osetsum(X31,c_List_Oset(X13,X15),X15,X32) = c_List_Olistsum(c_List_Omap(X31,X13,X15,X32),X32)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_540,plain,
! [X31,X37,X5,X32,X15] :
( c_Fun_Oinj__on(X31,X5,X15,X32)
| ~ c_Fun_Oinj__on(X31,c_Set_Oinsert(X37,X5,X15),X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_541,axiom,
! [X13,X31,X32,X15] : hAPP(c_List_Orev(X15),c_List_Omap(X31,X13,X32,X15)) = c_List_Omap(X31,hAPP(c_List_Orev(X32),X13),X32,X15),
c_0_99 ).
fof(c_0_542,axiom,
! [X20,X13,X14,X15] : c_List_Odrop(X14,c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Odrop(X14,X13,X15),c_List_Odrop(c_HOL_Ominus__class_Ominus(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X20,X15),X15),
c_0_100 ).
fof(c_0_543,axiom,
! [X20,X13,X14,X15] : c_List_Otake(X14,c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Otake(X14,X13,X15),c_List_Otake(c_HOL_Ominus__class_Ominus(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X20,X15),X15),
c_0_101 ).
fof(c_0_544,axiom,
! [X20,X39,X13,X21,X15] : c_List_Olist__update(c_List_Oappend(X13,c_List_Olist_OCons(X21,X20,X15),X15),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X39,X15) = c_List_Oappend(X13,c_List_Olist_OCons(X39,X20,X15),X15),
c_0_102 ).
fof(c_0_545,axiom,
! [X1,X2,X3,X4,X5] : c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_103 ).
fof(c_0_546,plain,
! [X31,X3,X5,X32,X15] :
( c_Fun_Oinj__on(X31,X5,X15,X32)
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool))
| ~ c_Fun_Oinj__on(X31,X3,X15,X32) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_547,plain,
! [X35,X36,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X37,X35,X15),c_Divides_Odiv__class_Omod(X36,X35,X15),X15),X35,X15) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_548,axiom,
! [X1,X2,X3,X5] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_106 ).
fof(c_0_549,plain,
! [X35,X45,X36,X46,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(X36,X35,X15) != c_Divides_Odiv__class_Omod(X45,X35,X15)
| c_Divides_Odiv__class_Omod(X37,X35,X15) != c_Divides_Odiv__class_Omod(X46,X35,X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X46,X45,X15),X35,X15) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_550,plain,
! [X51,X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X39,X51,X15),X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_OCons(X39,X51,X15),X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_551,axiom,
! [X13,X21,X14,X15] : c_List_Oappend(c_List_Oreplicate(X14,X21,X15),c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,c_List_Oappend(c_List_Oreplicate(X14,X21,X15),X13,X15),X15),
c_0_109 ).
fof(c_0_552,plain,
! [X14,X38,X40] :
( c_lessequals(X38,X14,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X38,X40,tc_nat),c_HOL_Ominus__class_Ominus(X14,X40,tc_nat),tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_553,plain,
! [X51,X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_OCons(X39,X51,X15),X15),X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X39,X51,X15),X15)
| ~ c_lessequals(X21,X39,X15) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_554,plain,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| X18 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15),X16,X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_555,plain,
! [X51,X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_lessequals(X21,X39,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_OCons(X39,X51,X15),X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_556,axiom,
! [X20,X39,X13,X21,X15] :
( c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) != c_List_Oappend(X20,c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15)
| X21 = X39 ),
c_0_114 ).
fof(c_0_557,axiom,
! [X20,X39,X13,X21,X15] :
( c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) != c_List_Oappend(X20,c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15)
| X13 = X20 ),
c_0_115 ).
fof(c_0_558,plain,
! [X35,X36,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X37,X35,X15),X36,X15),X35,X15) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_559,plain,
! [X35,X36,X37,X15] :
( ~ class_Divides_Oring__div(X15)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,X36,X15),X35,X15) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X37,c_Divides_Odiv__class_Omod(X36,X35,X15),X15),X35,X15) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_560,axiom,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15),X18,X15) = X16
| c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
c_0_118 ).
fof(c_0_561,plain,
! [X20,X21,X15] : ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X21,X20,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X20,tc_List_Olist(X15)),tc_nat),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_562,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X25),v_sko__List__Xlast__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_563,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X25),v_sko__List__Xlistsum__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_564,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X25),v_sko__List__Xdistinct__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_565,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X25),v_sko__List__Xremove1__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_566,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X25),v_sko__List__Xlistset__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_567,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X25),v_sko__List__Xzip__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_568,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X25),v_sko__List__XdropWhile__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_569,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X25),v_sko__List__XtakeWhile__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_570,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X25),v_sko__List__XremoveAll__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_571,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X25),v_sko__List__Xlist__update__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_572,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| ~ hBOOL(hAPP(X25,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X25),v_sko__List__Xlist__Xinduct__2(X25),t_a)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_573,axiom,
! [X21,X14,X40,X15] : c_List_Oappend(c_List_Oreplicate(X14,X21,X15),c_List_Oreplicate(X40,X21,X15),X15) = c_List_Oappend(c_List_Oreplicate(X40,X21,X15),c_List_Oreplicate(X14,X21,X15),X15),
c_0_131 ).
fof(c_0_574,axiom,
! [X13,X31,X32,X15] : c_Nat_Osize__class_Osize(c_List_Omap(X31,X13,X32,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X32)),
c_0_132 ).
fof(c_0_575,axiom,
! [X13,X21,X34,X15] : c_Nat_Osize__class_Osize(c_List_Olist__update(X13,X34,X21,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
c_0_133 ).
fof(c_0_576,plain,
! [X14,X38,X40] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X38,X40,tc_nat),c_HOL_Ominus__class_Ominus(X14,X40,tc_nat),tc_nat)
| ~ c_lessequals(X38,X14,tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_577,axiom,
! [X20,X39,X15] : hAPP(c_List_Orev(X15),c_List_Oappend(hAPP(c_List_Orev(X15),X20),c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15)) = c_List_Olist_OCons(X39,X20,X15),
c_0_135 ).
fof(c_0_578,plain,
! [X14,X38,X40] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X38,X40,tc_nat),c_HOL_Ominus__class_Ominus(X14,X40,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X38,X14,tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_579,plain,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| X19 = c_List_Otake(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),X17,X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_580,axiom,
! [X1,X2,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
c_0_138 ).
fof(c_0_581,axiom,
! [X21,X34,X15] : c_List_Oappend(c_List_Oreplicate(X34,X21,X15),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) = c_List_Olist_OCons(X21,c_List_Oreplicate(X34,X21,X15),X15),
c_0_139 ).
fof(c_0_582,axiom,
! [X1,X2,X4,X5] : c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OGets(X4,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_140 ).
fof(c_0_583,axiom,
! [X21,X14,X31,X32,X15] : c_List_Omap(X31,c_List_Oreplicate(X14,X21,X32),X32,X15) = c_List_Oreplicate(X14,hAPP(X31,X21),X15),
c_0_141 ).
fof(c_0_584,axiom,
! [X1,X2,X5] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_142 ).
fof(c_0_585,axiom,
! [X20,X13,X25,X15] : c_List_Ofilter(X25,c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Ofilter(X25,X13,X15),c_List_Ofilter(X25,X20,X15),X15),
c_0_143 ).
fof(c_0_586,axiom,
! [X13,X14,X38,X15] : c_List_Odrop(X14,c_List_Otake(X38,X13,X15),X15) = c_List_Otake(c_HOL_Ominus__class_Ominus(X38,X14,tc_nat),c_List_Odrop(X14,X13,X15),X15),
c_0_144 ).
fof(c_0_587,plain,
! [X39,X21,X5,X15] :
( hBOOL(hAPP(X5,X21))
| X39 = X21
| ~ hBOOL(hAPP(c_Set_Oinsert(X39,X5,X15),X21)) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_588,plain,
! [X37,X50,X48,X15] :
( c_lessequals(c_Set_Oinsert(X37,X48,X15),c_Set_Oinsert(X37,X50,X15),tc_fun(X15,tc_bool))
| ~ c_lessequals(X48,X50,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_589,axiom,
! [X1,X2,X3,X5] : c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X5,X1),tc_Message_Omsg),
c_0_147 ).
fof(c_0_590,axiom,
! [X1,X2,X3,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X3,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
c_0_148 ).
fof(c_0_591,axiom,
! [X13,X21,X40,X15] :
( c_List_Olist__update(X13,X40,X21,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_149 ).
fof(c_0_592,axiom,
! [X13,X31,X32,X15] :
( c_List_Olist_ONil(X15) != c_List_Omap(X31,X13,X32,X15)
| X13 = c_List_Olist_ONil(X32) ),
c_0_150 ).
fof(c_0_593,axiom,
! [X13,X31,X32,X15] :
( c_List_Omap(X31,X13,X32,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X32) ),
c_0_151 ).
fof(c_0_594,axiom,
! [X13,X34,X15] : hAPP(c_List_Orev(X15),c_List_Odrop(X34,X13,X15)) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X34,tc_nat),hAPP(c_List_Orev(X15),X13),X15),
c_0_152 ).
fof(c_0_595,axiom,
! [X13,X34,X15] : hAPP(c_List_Orev(X15),c_List_Otake(X34,X13,X15)) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X34,tc_nat),hAPP(c_List_Orev(X15),X13),X15),
c_0_153 ).
fof(c_0_596,axiom,
! [X16,X17,X18,X19,X15] :
( c_List_Oappend(X19,X18,X15) != c_List_Oappend(X17,X16,X15)
| c_List_Otake(c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),X19,X15) = X17
| c_lessequals(c_Nat_Osize__class_Osize(X19,tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X17,tc_List_Olist(X15)),tc_nat) ),
c_0_154 ).
fof(c_0_597,plain,
! [X13,X21,X34,X15] :
( c_List_Olist__update(X13,X34,X21,X15) = X13
| ~ c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X34,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_598,axiom,
! [X51,X13,X15] :
( X13 != c_List_Otake(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X51,X15)
| c_List_Oappend(X13,c_List_Odrop(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X51,X15),X15) = X51 ),
c_0_156 ).
fof(c_0_599,plain,
! [X13,X21,X25,X15] :
( c_List_Ofilter(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,c_List_Ofilter(X25,X13,X15),X15)
| ~ hBOOL(hAPP(X25,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_600,plain,
! [X21,X3,X5,X15] :
( c_lessequals(X5,X3,tc_fun(X15,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X21,X5,X15),X3,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_601,axiom,
! [X13,X21,X15] : c_List_Olast(c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15),X15) = X21,
c_0_159 ).
fof(c_0_602,axiom,
! [X13,X21,X15] : c_List_Obutlast(c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15),X15) = X13,
c_0_160 ).
fof(c_0_603,plain,
! [X14,X38,X44] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X44,X14,tc_nat),c_HOL_Ominus__class_Ominus(X44,X38,tc_nat),tc_nat)
| ~ c_lessequals(X38,X14,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_604,plain,
! [X14,X38,X44] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X38,X44,tc_nat),c_HOL_Ominus__class_Ominus(X14,X44,tc_nat),tc_nat)
| ~ c_lessequals(X38,X14,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_605,axiom,
! [X13,X53,X15] : c_lessequals(c_List_Oset(c_List_Osublist(X13,X53,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
c_0_163 ).
fof(c_0_606,axiom,
! [X13,X21,X15] : c_lessequals(c_List_Oset(c_List_Oremove1(X21,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
c_0_164 ).
fof(c_0_607,axiom,
! [X13,X25,X15] : c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(X25,X13,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),
c_0_165 ).
fof(c_0_608,axiom,
! [X13,X14,X15] : c_lessequals(c_List_Oset(c_List_Odrop(X14,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
c_0_166 ).
fof(c_0_609,axiom,
! [X13,X25,X15] : c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X25,X13,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),
c_0_167 ).
fof(c_0_610,axiom,
! [X13,X25,X15] : c_lessequals(c_List_Oset(c_List_Ofilter(X25,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
c_0_168 ).
fof(c_0_611,axiom,
! [X13,X14,X15] : c_lessequals(c_List_Oset(c_List_Otake(X14,X13,X15),X15),c_List_Oset(X13,X15),tc_fun(X15,tc_bool)),
c_0_169 ).
fof(c_0_612,axiom,
! [X13,X21,X15] : c_lessequals(c_List_Oset(X13,X15),c_List_Oset(c_List_Olist_OCons(X21,X13,X15),X15),tc_fun(X15,tc_bool)),
c_0_170 ).
fof(c_0_613,plain,
! [X13,X21,X25,X15] :
( c_List_Olist__ex(X25,X13,X15)
| hBOOL(hAPP(X25,X21))
| ~ c_List_Olist__ex(X25,c_List_Olist_OCons(X21,X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_614,axiom,
! [X13,X21,X15] : hAPP(c_List_Orev(X15),c_List_Olist_OCons(X21,X13,X15)) = c_List_Oappend(hAPP(c_List_Orev(X15),X13),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15),
c_0_172 ).
fof(c_0_615,plain,
! [X14,X38,X40] :
( c_HOL_Ominus__class_Ominus(X38,X40,tc_nat) != c_HOL_Ominus__class_Ominus(X14,X40,tc_nat)
| ~ c_lessequals(X40,X14,tc_nat)
| ~ c_lessequals(X40,X38,tc_nat)
| X38 = X14 ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_616,plain,
! [X20,X13,X5,X15] :
( c_List_Olistsp(X5,c_List_Oappend(X13,X20,X15),X15)
| ~ c_List_Olistsp(X5,X20,X15)
| ~ c_List_Olistsp(X5,X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_617,plain,
! [X20,X13,X25,X15] :
( c_List_Olist__all(X25,c_List_Oappend(X13,X20,X15),X15)
| ~ c_List_Olist__all(X25,X20,X15)
| ~ c_List_Olist__all(X25,X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_618,axiom,
! [X1,X52,X5] : c_lessequals(c_Event_Oknows(X5,X1),c_Event_Oknows(X5,c_List_Olist_OCons(X52,X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_176 ).
fof(c_0_619,axiom,
! [X20,X39,X13,X15] :
( hAPP(c_List_Orev(X15),X13) != c_List_Olist_OCons(X39,X20,X15)
| X13 = c_List_Oappend(hAPP(c_List_Orev(X15),X20),c_List_Olist_OCons(X39,c_List_Olist_ONil(X15),X15),X15) ),
c_0_177 ).
fof(c_0_620,axiom,
! [X39,X13,X21,X15] :
( c_List_Oremove1(X21,c_List_Olist_OCons(X39,X13,X15),X15) = c_List_Olist_OCons(X39,c_List_Oremove1(X21,X13,X15),X15)
| X21 = X39 ),
c_0_178 ).
fof(c_0_621,axiom,
! [X13,X21,X68,X15] : c_List_Oappend(X13,c_List_Oappend(X21,X68,X15),X15) = c_List_Oappend(c_List_Oappend(X13,X21,X15),X68,X15),
c_0_179 ).
fof(c_0_622,axiom,
! [X51,X20,X21,X15] : c_List_Oappend(c_List_Oappend(X51,X21,X15),X20,X15) = c_List_Oappend(X51,c_List_Oappend(X21,X20,X15),X15),
c_0_180 ).
fof(c_0_623,axiom,
! [X57,X13,X59,X15] : c_List_Oappend(X13,c_List_Oappend(X57,X59,X15),X15) = c_List_Oappend(c_List_Oappend(X13,X57,X15),X59,X15),
c_0_181 ).
fof(c_0_624,axiom,
! [X51,X20,X13,X15] : c_List_Oappend(c_List_Oappend(X13,X20,X15),X51,X15) = c_List_Oappend(X13,c_List_Oappend(X20,X51,X15),X15),
c_0_182 ).
fof(c_0_625,axiom,
! [X51,X57,X21,X15] : c_List_Olist_OCons(X21,c_List_Oappend(X57,X51,X15),X15) = c_List_Oappend(c_List_Olist_OCons(X21,X57,X15),X51,X15),
c_0_183 ).
fof(c_0_626,axiom,
! [X51,X29,X21,X15] : c_List_Olist_OCons(X21,c_List_Oappend(X29,X51,X15),X15) = c_List_Oappend(c_List_Olist_OCons(X21,X29,X15),X51,X15),
c_0_184 ).
fof(c_0_627,axiom,
! [X20,X13,X21,X15] : c_List_Oappend(c_List_Olist_OCons(X21,X13,X15),X20,X15) = c_List_Olist_OCons(X21,c_List_Oappend(X13,X20,X15),X15),
c_0_185 ).
fof(c_0_628,axiom,
! [X51,X29,X21,X15] : c_List_Oappend(c_List_Olist_OCons(X21,X29,X15),X51,X15) = c_List_Olist_OCons(X21,c_List_Oappend(X29,X51,X15),X15),
c_0_186 ).
fof(c_0_629,axiom,
! [X39,X21,X5,X15] : c_Set_Oinsert(X21,c_Set_Oinsert(X39,X5,X15),X15) = c_Set_Oinsert(X39,c_Set_Oinsert(X21,X5,X15),X15),
c_0_187 ).
fof(c_0_630,plain,
! [X48,X3,X5,X15] :
( c_lessequals(X5,X48,tc_fun(X15,tc_bool))
| ~ c_lessequals(X3,X48,tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_631,plain,
! [X42,X39,X43,X21,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X21,X39,X15) != c_HOL_Ominus__class_Ominus(X43,X42,X15)
| c_lessequals(X39,X21,X15)
| ~ c_lessequals(X42,X43,X15) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_632,plain,
! [X42,X39,X43,X21,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X21,X39,X15) != c_HOL_Ominus__class_Ominus(X43,X42,X15)
| c_lessequals(X42,X43,X15)
| ~ c_lessequals(X39,X21,X15) ),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_633,axiom,
! [X21,X40,X34,X15] : c_List_Odrop(X34,c_List_Oreplicate(X40,X21,X15),X15) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X40,X34,tc_nat),X21,X15),
c_0_191 ).
fof(c_0_634,axiom,
! [X40,X41,X34] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X34,X41,tc_nat),X40,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X34,X40,tc_nat),X41,tc_nat),
c_0_192 ).
fof(c_0_635,plain,
! [X20,X13,X25,X15] :
( c_List_Olist__all(X25,X20,X15)
| ~ c_List_Olist__all(X25,c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_636,plain,
! [X20,X13,X25,X15] :
( c_List_Olist__all(X25,X13,X15)
| ~ c_List_Olist__all(X25,c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_637,plain,
! [X20,X13,X5,X15] :
( c_List_Olistsp(X5,X20,X15)
| ~ c_List_Olistsp(X5,c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_638,plain,
! [X20,X13,X5,X15] :
( c_List_Olistsp(X5,X13,X15)
| ~ c_List_Olistsp(X5,c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_639,plain,
! [X13,X21,X25,X15] :
( c_List_Olist__all(X25,X13,X15)
| ~ c_List_Olist__all(X25,c_List_Olist_OCons(X21,X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_640,plain,
! [X36,X3,X5,X15] :
( c_lessequals(X5,c_Set_Oinsert(X36,X3,X15),tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_641,plain,
! [X13,X21,X25,X15] :
( c_List_Olist__all(X25,c_List_Olist_OCons(X21,X13,X15),X15)
| ~ c_List_Olist__all(X25,X13,X15)
| ~ hBOOL(hAPP(X25,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_642,axiom,
! [X13,X21,X32] : c_List_Orotate1(c_List_Olist_OCons(X21,X13,X32),X32) = c_List_Oappend(X13,c_List_Olist_OCons(X21,c_List_Olist_ONil(X32),X32),X32),
c_0_200 ).
fof(c_0_643,plain,
! [X14,X38] :
( c_Divides_Odiv__class_Omod(X38,X14,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X38,X14,tc_nat),X14,tc_nat)
| ~ c_lessequals(X14,X38,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_644,plain,
! [X39,X21,X5,X15] :
( hBOOL(hAPP(c_Set_Oinsert(X39,X5,X15),X21))
| ~ hBOOL(hAPP(X5,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_645,axiom,
! [X13,X14,X15] : c_List_Orotate(X14,X13,X15) = c_List_Orotate(c_Divides_Odiv__class_Omod(X14,c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),X13,X15),
c_0_203 ).
fof(c_0_646,plain,
! [X13,X21,X25,X15] :
( hBOOL(hAPP(X25,X21))
| ~ c_List_Olist__all(X25,c_List_Olist_OCons(X21,X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_647,axiom,
! [X13,X15] :
( c_List_Orotate1(X13,X15) = c_List_Oappend(c_List_Otl(X13,X15),c_List_Olist_OCons(c_List_Ohd(X13,X15),c_List_Olist_ONil(X15),X15),X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_205 ).
fof(c_0_648,axiom,
! [X13,X14,X15] : c_List_Oappend(c_List_Otake(X14,X13,X15),c_List_Odrop(X14,X13,X15),X15) = X13,
c_0_206 ).
fof(c_0_649,axiom,
! [X5,X15] : c_Fun_Oinj__on(c_List_Orev(X15),X5,tc_List_Olist(X15),tc_List_Olist(X15)),
c_0_207 ).
fof(c_0_650,plain,
! [X13,X21,X25,X15] :
( c_List_OdropWhile(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_OdropWhile(X25,X13,X15)
| ~ hBOOL(hAPP(X25,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_651,plain,
! [X21,X14,X25,X15] :
( c_List_Ofilter(X25,c_List_Oreplicate(X14,X21,X15),X15) = c_List_Oreplicate(X14,X21,X15)
| ~ hBOOL(hAPP(X25,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_652,axiom,
! [X63,X15] : c_List_Olistrelp(X63,c_List_Olist_ONil(X15),c_List_Olist_ONil(X15),X15),
c_0_210 ).
fof(c_0_653,axiom,
! [X20,X13,X15] : hAPP(c_List_Orev(X15),c_List_Oappend(X13,X20,X15)) = c_List_Oappend(hAPP(c_List_Orev(X15),X20),hAPP(c_List_Orev(X15),X13),X15),
c_0_211 ).
fof(c_0_654,axiom,
! [X31,X32,X15] : c_List_Olist_ONil(X15) = c_List_Omap(X31,c_List_Olist_ONil(X32),X32,X15),
c_0_212 ).
fof(c_0_655,axiom,
! [X69,X34,X15] : c_List_Olist__update(c_List_Olist_ONil(X15),X34,X69,X15) = c_List_Olist_ONil(X15),
c_0_213 ).
fof(c_0_656,axiom,
! [X39,X34,X15] : c_List_Olist__update(c_List_Olist_ONil(X15),X34,X39,X15) = c_List_Olist_ONil(X15),
c_0_214 ).
fof(c_0_657,axiom,
! [X21,X40,X15] : c_List_Olist__update(c_List_Olist_ONil(X15),X40,X21,X15) = c_List_Olist_ONil(X15),
c_0_215 ).
fof(c_0_658,axiom,
! [X31,X32,X15] : c_List_Ofiltermap(X31,c_List_Olist_ONil(X32),X32,X15) = c_List_Olist_ONil(X15),
c_0_216 ).
fof(c_0_659,axiom,
! [X31,X32,X15] : c_List_Omap(X31,c_List_Olist_ONil(X32),X32,X15) = c_List_Olist_ONil(X15),
c_0_217 ).
fof(c_0_660,axiom,
! [X13,X15] :
( c_List_Oappend(c_List_Obutlast(X13,X15),c_List_Olist_OCons(c_List_Olast(X13,X15),c_List_Olist_ONil(X15),X15),X15) = X13
| X13 = c_List_Olist_ONil(X15) ),
c_0_218 ).
fof(c_0_661,axiom,
! [X1,X2,X5] :
( c_Event_Oknows(X5,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),X1,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X5,X1),tc_Message_Omsg)
| X5 = c_Message_Oagent_OSpy ),
c_0_219 ).
fof(c_0_662,plain,
! [X13,X21,X25,X15] :
( c_List_Olist__ex(X25,c_List_Olist_OCons(X21,X13,X15),X15)
| ~ c_List_Olist__ex(X25,X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_663,plain,
! [X3,X5,X15] :
( X5 = X3
| ~ c_lessequals(X3,X5,tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_664,plain,
! [X3,X5,X15] :
( X5 = X3
| ~ c_lessequals(X3,X5,tc_fun(X15,tc_bool))
| ~ c_lessequals(X5,X3,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_665,axiom,
! [X13,X21,X25,X15] :
( c_List_Ofilter(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Ofilter(X25,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
c_0_223 ).
fof(c_0_666,axiom,
! [X13,X21,X25,X15] :
( c_List_Oremove1(X21,c_List_Ofilter(X25,X13,X15),X15) = c_List_Ofilter(X25,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
c_0_224 ).
fof(c_0_667,axiom,
! [X13,X21,X25,X15] :
( c_List_OdropWhile(X25,c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
c_0_225 ).
fof(c_0_668,axiom,
! [X21,X5,X15] : hBOOL(hAPP(c_Set_Oinsert(X21,X5,X15),X21)),
c_0_226 ).
fof(c_0_669,plain,
! [X14,X34] :
( c_HOL_Ominus__class_Ominus(X14,c_HOL_Ominus__class_Ominus(X14,X34,tc_nat),tc_nat) = X34
| ~ c_lessequals(X34,X14,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_670,plain,
! [X21,X30,X31,X32,X15] :
( ~ class_HOL_Oord(X32)
| c_lessequals(hAPP(X31,X21),hAPP(X30,X21),X32)
| ~ c_lessequals(X31,X30,tc_fun(X15,X32)) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_671,plain,
! [X47,X39,X21,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_lessequals(X21,X47,X15)
| ~ c_lessequals(X39,X47,X15)
| ~ c_lessequals(X21,X39,X15) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_672,plain,
! [X47,X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| c_lessequals(X47,X21,X15)
| ~ c_lessequals(X47,X39,X15)
| ~ c_lessequals(X39,X21,X15) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_673,plain,
! [X36,X37,X15] :
( ~ class_Divides_Osemiring__div(X15)
| c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X37,X36,X15),X36,X15) = c_Divides_Odiv__class_Omod(X37,X36,X15) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_674,axiom,
! [X13,X21,X15] : c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,X13,X15),
c_0_232 ).
fof(c_0_675,axiom,
! [X13,X21,X15] : c_List_Olist_OCons(X21,X13,X15) = c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_OCons(X21,X13,X15),X15),
c_0_233 ).
fof(c_0_676,plain,
! [X40,X41,X34] :
( c_lessequals(X34,X40,tc_nat)
| ~ c_lessequals(X41,X40,tc_nat)
| ~ c_lessequals(X34,X41,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_677,axiom,
! [X13,X25,X15] : hAPP(c_List_Orev(X15),c_List_Ofilter(X25,X13,X15)) = c_List_Ofilter(X25,hAPP(c_List_Orev(X15),X13),X15),
c_0_235 ).
fof(c_0_678,plain,
! [X20,X39,X13,X25,X15] :
( c_List_OdropWhile(X25,X13,X15) != c_List_Olist_OCons(X39,X20,X15)
| ~ hBOOL(hAPP(X25,X39)) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_679,axiom,
! [X13,X14,X15] : c_Nat_Osize__class_Osize(c_List_Odrop(X14,X13,X15),tc_List_Olist(X15)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat),
c_0_237 ).
fof(c_0_680,axiom,
! [X21,X5,X15] : c_Set_Oinsert(X21,c_Set_Oinsert(X21,X5,X15),X15) = c_Set_Oinsert(X21,X5,X15),
c_0_238 ).
fof(c_0_681,plain,
! [X20,X13,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(X20,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_682,plain,
! [X20,X13,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(X13,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_683,plain,
! [X13,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(X13,X15)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_684,plain,
! [X13,X21,X25,X15] :
( c_List_Olist__ex(X25,c_List_Olist_OCons(X21,X13,X15),X15)
| ~ hBOOL(hAPP(X25,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_685,axiom,
! [X20,X13,X15] :
( c_List_Obutlast(c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(X13,c_List_Obutlast(X20,X15),X15)
| X20 = c_List_Olist_ONil(X15) ),
c_0_243 ).
fof(c_0_686,axiom,
! [X20,X13,X15] :
( c_List_Otl(c_List_Oappend(X13,X20,X15),X15) = c_List_Oappend(c_List_Otl(X13,X15),X20,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_244 ).
fof(c_0_687,axiom,
! [X13,X21,X15] :
( c_List_Obutlast(c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olist_OCons(X21,c_List_Obutlast(X13,X15),X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_245 ).
fof(c_0_688,plain,
! [X13,X14,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Orotate(X14,X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_689,plain,
! [X20,X13,X15] :
( c_List_Odistinct(X20,X15)
| ~ c_List_Odistinct(c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_690,plain,
! [X20,X13,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Oappend(X13,X20,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_691,plain,
! [X13,X21,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Olist_OCons(X21,X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_692,plain,
! [X13,X14,X15] :
( c_List_Odrop(X14,X13,X15) = c_List_Olist_ONil(X15)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_250]) ).
fof(c_0_693,axiom,
! [X20,X13,X21,X25,X15] :
( c_List_Ofilter(X25,X20,X15) != c_List_Olist_OCons(X21,X13,X15)
| hBOOL(hAPP(X25,X21)) ),
c_0_251 ).
fof(c_0_694,axiom,
! [X20,X13,X21,X25,X15] :
( c_List_Olist_OCons(X21,X13,X15) != c_List_Ofilter(X25,X20,X15)
| hBOOL(hAPP(X25,X21)) ),
c_0_252 ).
fof(c_0_695,axiom,
! [X13,X14,X15] : c_List_Orotate1(c_List_Orotate(X14,X13,X15),X15) = c_List_Orotate(X14,c_List_Orotate1(X13,X15),X15),
c_0_253 ).
fof(c_0_696,axiom,
! [X13,X25,X15] : c_List_Oremdups(c_List_Ofilter(X25,X13,X15),X15) = c_List_Ofilter(X25,c_List_Oremdups(X13,X15),X15),
c_0_254 ).
fof(c_0_697,axiom,
! [X13,X21,X15] : c_List_Oset(c_List_Olist_OCons(X21,X13,X15),X15) = c_Set_Oinsert(X21,c_List_Oset(X13,X15),X15),
c_0_255 ).
fof(c_0_698,axiom,
! [X13,X14,X15] : c_List_Odrop(X14,c_List_Otl(X13,X15),X15) = c_List_Otl(c_List_Odrop(X14,X13,X15),X15),
c_0_256 ).
fof(c_0_699,axiom,
! [X13,X14,X15] : c_List_Odrop(X14,c_List_Obutlast(X13,X15),X15) = c_List_Obutlast(c_List_Odrop(X14,X13,X15),X15),
c_0_257 ).
fof(c_0_700,axiom,
! [X13,X14,X15] : c_List_Otl(c_List_Odrop(X14,X13,X15),X15) = c_List_Odrop(X14,c_List_Otl(X13,X15),X15),
c_0_258 ).
fof(c_0_701,axiom,
! [X13,X14,X15] : c_List_Obutlast(c_List_Odrop(X14,X13,X15),X15) = c_List_Odrop(X14,c_List_Obutlast(X13,X15),X15),
c_0_259 ).
fof(c_0_702,plain,
! [X13,X25,X15] :
( c_List_Olist__all(X25,X13,X15)
| ~ c_List_Olist__all(X25,hAPP(c_List_Orev(X15),X13),X15) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_703,plain,
! [X21,X49,X25,X15] :
( hBOOL(hAPP(X49,X21))
| ~ c_lessequals(X25,X49,tc_fun(X15,tc_bool))
| ~ hBOOL(hAPP(X25,X21)) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_704,plain,
! [X21,X49,X25,X15] :
( hBOOL(hAPP(X49,X21))
| ~ hBOOL(hAPP(X25,X21))
| ~ c_lessequals(X25,X49,tc_fun(X15,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_705,axiom,
! [X20,X13,X15] : X13 = c_List_Otake(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),c_List_Oappend(X13,X20,X15),X15),
c_0_263 ).
fof(c_0_706,axiom,
! [X20,X13,X15] : X20 = c_List_Odrop(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),c_List_Oappend(X13,X20,X15),X15),
c_0_264 ).
fof(c_0_707,axiom,
! [X21,X15] : c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) = hAPP(c_List_Orev(X15),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15)),
c_0_265 ).
fof(c_0_708,axiom,
! [X21,X15] : hAPP(c_List_Orev(X15),c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15)) = c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),
c_0_266 ).
fof(c_0_709,plain,
! [X13,X14,X15] :
( c_List_Otake(X14,X13,X15) = X13
| ~ c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_267]) ).
fof(c_0_710,axiom,
! [X21,X14,X25,X15] :
( c_List_Ofilter(X25,c_List_Oreplicate(X14,X21,X15),X15) = c_List_Olist_ONil(X15)
| hBOOL(hAPP(X25,X21)) ),
c_0_268 ).
fof(c_0_711,plain,
! [X13,X21,X15] : ~ c_List_Onull(c_List_Olist_OCons(X21,X13,X15),X15),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_712,axiom,
! [X13,X21,X15] :
( c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) != hAPP(c_List_Orev(X15),X13)
| X13 = c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) ),
c_0_270 ).
fof(c_0_713,axiom,
! [X13,X21,X15] :
( hAPP(c_List_Orev(X15),X13) != c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15)
| X13 = c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15) ),
c_0_271 ).
fof(c_0_714,axiom,
! [X37,X3,X15] : c_lessequals(X3,c_Set_Oinsert(X37,X3,X15),tc_fun(X15,tc_bool)),
c_0_272 ).
fof(c_0_715,axiom,
! [X13,X14,X15] :
( c_List_Odrop(X14,X13,X15) != c_List_Olist_ONil(X15)
| c_lessequals(c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),X14,tc_nat) ),
c_0_273 ).
fof(c_0_716,plain,
! [X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| X21 = X39
| ~ c_lessequals(X21,X39,X15)
| ~ c_lessequals(X39,X21,X15) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_717,plain,
! [X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| X21 = X39
| ~ c_lessequals(X39,X21,X15)
| ~ c_lessequals(X21,X39,X15) ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_718,plain,
! [X39,X21,X15] :
( ~ class_Orderings_Oorder(X15)
| X21 = X39
| ~ c_lessequals(X39,X21,X15)
| ~ c_lessequals(X21,X39,X15) ),
inference(fof_simplification,[status(thm)],[c_0_276]) ).
fof(c_0_719,axiom,
! [X21,X14,X15] : hAPP(c_List_Orev(X15),c_List_Oreplicate(X14,X21,X15)) = c_List_Oreplicate(X14,X21,X15),
c_0_277 ).
fof(c_0_720,axiom,
! [X13,X15] : c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X13,X15),tc_List_Olist(X15)),c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),tc_nat),
c_0_278 ).
fof(c_0_721,plain,
! [X39,X29,X21,X15] :
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X29,X39,X15) != c_HOL_Ominus__class_Ominus(X21,X21,X15)
| X29 = X39 ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_722,plain,
! [X42,X43,X21,X15] :
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X21,X21,X15) != c_HOL_Ominus__class_Ominus(X43,X42,X15)
| X43 = X42 ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_723,axiom,
! [X1,X2,X5] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X5,X2),X1,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
c_0_281 ).
fof(c_0_724,plain,
! [X13,X25,X15] :
( c_List_Olist__all(X25,hAPP(c_List_Orev(X15),X13),X15)
| ~ c_List_Olist__all(X25,X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_725,axiom,
! [X62,X54,X46,X37,X15] :
( c_List_Olist_OCons(X37,X54,X15) != c_List_Olist_OCons(X46,X62,X15)
| X54 = X62 ),
c_0_283 ).
fof(c_0_726,axiom,
! [X62,X54,X46,X37,X15] :
( c_List_Olist_OCons(X37,X54,X15) != c_List_Olist_OCons(X46,X62,X15)
| X37 = X46 ),
c_0_284 ).
fof(c_0_727,axiom,
! [X51,X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != c_List_Oappend(X13,X51,X15)
| X20 = X51 ),
c_0_285 ).
fof(c_0_728,axiom,
! [X51,X20,X13,X15] :
( c_List_Oappend(X20,X13,X15) != c_List_Oappend(X51,X13,X15)
| X20 = X51 ),
c_0_286 ).
fof(c_0_729,axiom,
! [X39,X21,X14,X38,X15] :
( c_List_Oreplicate(X38,X21,X15) != c_List_Oreplicate(X14,X39,X15)
| X38 = X14 ),
c_0_287 ).
fof(c_0_730,axiom,
! [X6,X7,X11,X9,X12,X10] :
( c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OSays(X12,X11,X6)
| X10 = X12 ),
c_0_288 ).
fof(c_0_731,axiom,
! [X6,X7,X11,X9,X12,X10] :
( c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OSays(X12,X11,X6)
| X9 = X11 ),
c_0_289 ).
fof(c_0_732,axiom,
! [X6,X7,X11,X9,X12,X10] :
( c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OSays(X12,X11,X6)
| X7 = X6 ),
c_0_290 ).
fof(c_0_733,plain,
! [X72,X2,X15] :
( X2 = X72
| ~ hBOOL(hAPP(hAPP(c_fequal(X15),X2),X72)) ),
inference(fof_simplification,[status(thm)],[c_0_291]) ).
fof(c_0_734,plain,
! [X14,X38] :
( X38 = X14
| ~ c_lessequals(X14,X38,tc_nat)
| ~ c_lessequals(X38,X14,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_735,axiom,
! [X13,X21,X15] : c_List_Oremove1(X21,c_List_Olist_OCons(X21,X13,X15),X15) = X13,
c_0_293 ).
fof(c_0_736,axiom,
! [X14,X38] : c_lessequals(c_HOL_Ominus__class_Ominus(X38,X14,tc_nat),X38,tc_nat),
c_0_294 ).
fof(c_0_737,axiom,
! [X14,X38] : c_lessequals(c_Divides_Odiv__class_Omod(X38,X14,tc_nat),X38,tc_nat),
c_0_295 ).
fof(c_0_738,plain,
! [X13,X37,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X37,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_296]) ).
fof(c_0_739,plain,
! [X13,X25,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X25,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_297]) ).
fof(c_0_740,plain,
! [X13,X14,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Otake(X14,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_298]) ).
fof(c_0_741,plain,
! [X13,X14,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X14,X13,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_742,axiom,
! [X20,X15] : c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X15),X20,X15),X15) = c_List_Ohd(X20,X15),
c_0_300 ).
fof(c_0_743,axiom,
! [X13,X15] : c_List_Olast(c_List_Oappend(X13,c_List_Olist_ONil(X15),X15),X15) = c_List_Olast(X13,X15),
c_0_301 ).
fof(c_0_744,axiom,
! [X13,X14,X15] : c_Nat_Osize__class_Osize(c_List_Orotate(X14,X13,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
c_0_302 ).
fof(c_0_745,axiom,
! [X13,X15] : c_List_Obutlast(c_List_Oappend(X13,c_List_Olist_ONil(X15),X15),X15) = c_List_Obutlast(X13,X15),
c_0_303 ).
fof(c_0_746,plain,
! [X20,X13,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Oset(X13,X15) != c_List_Oset(X20,X15)
| ~ c_List_Odistinct(X20,X15)
| ~ c_List_Olinorder__class_Osorted(X20,X15)
| ~ c_List_Odistinct(X13,X15)
| ~ c_List_Olinorder__class_Osorted(X13,X15)
| X13 = X20 ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_747,plain,
! [X13,X14,X15] :
( c_List_Odistinct(c_List_Orotate(X14,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_748,plain,
! [X13,X21,X15] :
( c_List_Odistinct(c_List_Oremove1(X21,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_749,plain,
! [X13,X53,X15] :
( c_List_Odistinct(c_List_Osublist(X13,X53,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_307]) ).
fof(c_0_750,plain,
! [X13,X25,X15] :
( c_List_Odistinct(c_List_OdropWhile(X25,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_751,plain,
! [X13,X34,X15] :
( c_List_Odistinct(c_List_Otake(X34,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_752,plain,
! [X13,X34,X15] :
( c_List_Odistinct(c_List_Odrop(X34,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_753,plain,
! [X13,X25,X15] :
( c_List_Odistinct(c_List_Ofilter(X25,X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_754,plain,
! [X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_312]) ).
fof(c_0_755,axiom,
! [X20,X13,X15] :
( c_List_Olast(c_List_Oappend(X13,X20,X15),X15) = c_List_Olast(X20,X15)
| X20 = c_List_Olist_ONil(X15) ),
c_0_313 ).
fof(c_0_756,axiom,
! [X20,X13,X15] :
( c_List_Ohd(c_List_Oappend(X13,X20,X15),X15) = c_List_Ohd(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_314 ).
fof(c_0_757,axiom,
! [X13,X21,X15] :
( c_List_Olast(c_List_Olist_OCons(X21,X13,X15),X15) = c_List_Olast(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_315 ).
fof(c_0_758,axiom,
! [X21,X15] : c_List_Obutlast(c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) = c_List_Olist_ONil(X15),
c_0_316 ).
fof(c_0_759,axiom,
! [X13,X14,X15] : c_List_Oset(c_List_Orotate(X14,X13,X15),X15) = c_List_Oset(X13,X15),
c_0_317 ).
fof(c_0_760,axiom,
! [X21,X15] : c_List_Olast(c_List_Olist_OCons(X21,c_List_Olist_ONil(X15),X15),X15) = X21,
c_0_318 ).
fof(c_0_761,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xmap__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_762,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlist__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_763,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xremove1__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_764,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xdistinct__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_322]) ).
fof(c_0_765,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xconcat__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_766,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xtake__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_767,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__XdropWhile__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_325]) ).
fof(c_0_768,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlistset__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_769,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xzip__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_770,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xfoldl__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_771,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlist__update__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_772,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__XtakeWhile__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_773,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlast__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_774,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__XremoveAll__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_332]) ).
fof(c_0_775,plain,
! [X54,X25] :
( hBOOL(hAPP(X25,X54))
| hBOOL(hAPP(X25,v_sko__List__Xlistsum__Xinduct__2(X25)))
| ~ hBOOL(hAPP(X25,c_List_Olist_ONil(t_a))) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_776,axiom,
! [X21,X14,X15] : c_Nat_Osize__class_Osize(c_List_Oreplicate(X14,X21,X15),tc_List_Olist(X15)) = X14,
c_0_334 ).
fof(c_0_777,axiom,
! [X13,X21,X15] : c_List_Ohd(c_List_Olist_OCons(X21,X13,X15),X15) = X21,
c_0_335 ).
fof(c_0_778,axiom,
! [X13,X21,X15] : c_List_Otl(c_List_Olist_OCons(X21,X13,X15),X15) = X13,
c_0_336 ).
fof(c_0_779,axiom,
! [X13,X15] :
( c_Nat_Osize__class_Osize(c_List_Oremdups(X13,X15),tc_List_Olist(X15)) != c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15))
| c_List_Oremdups(X13,X15) = X13 ),
c_0_337 ).
fof(c_0_780,plain,
! [X39,X21,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_lessequals(X39,X21,X15)
| c_lessequals(X21,X39,X15) ),
inference(fof_simplification,[status(thm)],[c_0_338]) ).
fof(c_0_781,axiom,
! [X6,X7,X8,X9,X10] : c_Event_Oevent_OSays(X10,X9,X7) != c_Event_Oevent_OGets(X8,X6),
c_0_339 ).
fof(c_0_782,axiom,
! [X6,X7,X8,X9,X10] : c_Event_Oevent_OGets(X8,X6) != c_Event_Oevent_OSays(X10,X9,X7),
c_0_340 ).
fof(c_0_783,axiom,
! [X21,X15] : hBOOL(hAPP(hAPP(c_fequal(X15),X21),X21)),
c_0_341 ).
fof(c_0_784,axiom,
! [X1,X5] : c_lessequals(c_Event_OinitState(X5),c_Event_Oknows(X5,X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_342 ).
fof(c_0_785,axiom,
! [X14,X38] :
( c_lessequals(X14,X38,tc_nat)
| c_lessequals(X38,X14,tc_nat) ),
c_0_343 ).
fof(c_0_786,axiom,
! [X20,X13,X15] :
( c_List_Olist_ONil(X15) != c_List_Oappend(X13,X20,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_344 ).
fof(c_0_787,axiom,
! [X20,X13,X15] :
( c_List_Olist_ONil(X15) != c_List_Oappend(X13,X20,X15)
| X20 = c_List_Olist_ONil(X15) ),
c_0_345 ).
fof(c_0_788,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_346 ).
fof(c_0_789,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != c_List_Olist_ONil(X15)
| X20 = c_List_Olist_ONil(X15) ),
c_0_347 ).
fof(c_0_790,axiom,
! [X13,X14,X15] :
( c_List_Orotate(X14,X13,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_348 ).
fof(c_0_791,plain,
! [X13,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X15),X13),X15) ),
inference(fof_simplification,[status(thm)],[c_0_349]) ).
fof(c_0_792,plain,
! [X25,X15] : ~ c_List_Olist__ex(X25,c_List_Olist_ONil(X15),X15),
inference(fof_simplification,[status(thm)],[c_0_350]) ).
fof(c_0_793,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != X13
| X20 = c_List_Olist_ONil(X15) ),
c_0_351 ).
fof(c_0_794,axiom,
! [X20,X13,X15] :
( X13 != c_List_Oappend(X13,X20,X15)
| X20 = c_List_Olist_ONil(X15) ),
c_0_352 ).
fof(c_0_795,axiom,
! [X20,X13,X15] :
( c_List_Oappend(X13,X20,X15) != X20
| X13 = c_List_Olist_ONil(X15) ),
c_0_353 ).
fof(c_0_796,axiom,
! [X20,X13,X15] :
( X20 != c_List_Oappend(X13,X20,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_354 ).
fof(c_0_797,axiom,
! [X62,X46,X15] : c_List_Olist_OCons(X46,X62,X15) != c_List_Olist_ONil(X15),
c_0_355 ).
fof(c_0_798,axiom,
! [X29,X21,X15] : c_List_Olist_OCons(X21,X29,X15) != c_List_Olist_ONil(X15),
c_0_356 ).
fof(c_0_799,axiom,
! [X62,X46,X15] : c_List_Olist_ONil(X15) != c_List_Olist_OCons(X46,X62,X15),
c_0_357 ).
fof(c_0_800,axiom,
! [X13,X15] :
( c_List_Oremdups(X13,X15) != X13
| c_Nat_Osize__class_Osize(c_List_Oremdups(X13,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)) ),
c_0_358 ).
fof(c_0_801,axiom,
! [X13,X21,X15] : X13 != c_List_Olist_OCons(X21,X13,X15),
c_0_359 ).
fof(c_0_802,axiom,
! [X21,X60,X15] : c_List_Olist_OCons(X21,X60,X15) != X60,
c_0_360 ).
fof(c_0_803,axiom,
! [X13,X15] : c_Nat_Osize__class_Osize(hAPP(c_List_Orev(X15),X13),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
c_0_361 ).
fof(c_0_804,plain,
! [X13,X15] :
( c_List_Odistinct(X13,X15)
| ~ c_List_Odistinct(c_List_Orotate1(X13,X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_805,axiom,
! [X5,X15] : c_lessequals(X5,X5,tc_fun(X15,tc_bool)),
c_0_363 ).
fof(c_0_806,axiom,
! [X21,X15] : c_lessequals(X21,X21,tc_fun(X15,tc_bool)),
c_0_364 ).
fof(c_0_807,plain,
! [X13,X15] :
( c_List_Odistinct(hAPP(c_List_Orev(X15),X13),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_365]) ).
fof(c_0_808,plain,
! [X13,X15] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X15)
| c_List_Olistsum(hAPP(c_List_Orev(X15),X13),X15) = c_List_Olistsum(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_366]) ).
fof(c_0_809,axiom,
! [X13,X15] :
( c_List_Olast(hAPP(c_List_Orev(X15),X13),X15) = c_List_Ohd(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_367 ).
fof(c_0_810,axiom,
! [X13,X15] :
( c_List_Ohd(hAPP(c_List_Orev(X15),X13),X15) = c_List_Olast(X13,X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_368 ).
fof(c_0_811,axiom,
! [X15] : c_List_Olist_ONil(X15) = c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_ONil(X15),X15),
c_0_369 ).
fof(c_0_812,axiom,
! [X15] : c_List_Oappend(c_List_Olist_ONil(X15),c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_370 ).
fof(c_0_813,plain,
! [X44,X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X44,X15),X15)
| ~ c_List_Olinorder__class_Osorted(X44,X15) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_814,axiom,
! [X13,X15] : c_List_Oset(hAPP(c_List_Orev(X15),X13),X15) = c_List_Oset(X13,X15),
c_0_372 ).
fof(c_0_815,axiom,
! [X13,X15] : c_Nat_Osize__class_Osize(c_List_Orotate1(X13,X15),tc_List_Olist(X15)) = c_Nat_Osize__class_Osize(X13,tc_List_Olist(X15)),
c_0_373 ).
fof(c_0_816,axiom,
! [X20,X13,X15] :
( hAPP(c_List_Orev(X15),X13) != hAPP(c_List_Orev(X15),X20)
| X13 = X20 ),
c_0_374 ).
fof(c_0_817,axiom,
! [X14,X15] : c_List_Orotate(X14,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_375 ).
fof(c_0_818,axiom,
! [X21,X15] : c_List_Oremove1(X21,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_376 ).
fof(c_0_819,axiom,
! [X25,X15] : c_List_Ofilter(X25,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_377 ).
fof(c_0_820,axiom,
! [X5,X15] : c_List_Osublist(c_List_Olist_ONil(X15),X5,X15) = c_List_Olist_ONil(X15),
c_0_378 ).
fof(c_0_821,axiom,
! [X14,X15] : c_List_Otake(X14,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_379 ).
fof(c_0_822,axiom,
! [X25,X15] : c_List_OdropWhile(X25,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_380 ).
fof(c_0_823,axiom,
! [X65,X15] : c_List_Olist__inter(c_List_Olist_ONil(X15),X65,X15) = c_List_Olist_ONil(X15),
c_0_381 ).
fof(c_0_824,axiom,
! [X14,X15] : c_List_Odrop(X14,c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_382 ).
fof(c_0_825,plain,
! [X13,X15] :
( c_List_Odistinct(c_List_Orotate1(X13,X15),X15)
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_826,plain,
! [X21,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_lessequals(X21,X21,X15) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_827,plain,
! [X21,X15] :
( ~ class_Orderings_Oorder(X15)
| c_lessequals(X21,X21,X15) ),
inference(fof_simplification,[status(thm)],[c_0_385]) ).
fof(c_0_828,axiom,
! [X13,X15] : c_List_Oappend(X13,c_List_Olist_ONil(X15),X15) = X13,
c_0_386 ).
fof(c_0_829,axiom,
! [X21,X15] : X21 = c_List_Oappend(c_List_Olist_ONil(X15),X21,X15),
c_0_387 ).
fof(c_0_830,axiom,
! [X13,X15] : X13 = c_List_Oappend(X13,c_List_Olist_ONil(X15),X15),
c_0_388 ).
fof(c_0_831,axiom,
! [X20,X15] : c_List_Oappend(c_List_Olist_ONil(X15),X20,X15) = X20,
c_0_389 ).
fof(c_0_832,axiom,
! [X20,X15] : X20 = c_List_Oappend(c_List_Olist_ONil(X15),X20,X15),
c_0_390 ).
fof(c_0_833,axiom,
! [X25,X15] : c_List_Olist__all(X25,c_List_Olist_ONil(X15),X15),
c_0_391 ).
fof(c_0_834,axiom,
! [X5,X15] : c_List_Olistsp(X5,c_List_Olist_ONil(X15),X15),
c_0_392 ).
fof(c_0_835,axiom,
! [X13,X15] : X13 = hAPP(c_List_Orev(X15),hAPP(c_List_Orev(X15),X13)),
c_0_393 ).
fof(c_0_836,axiom,
! [X20,X15] : hAPP(c_List_Orev(X15),hAPP(c_List_Orev(X15),X20)) = X20,
c_0_394 ).
fof(c_0_837,axiom,
! [X13,X15] : hAPP(c_List_Orev(X15),hAPP(c_List_Orev(X15),X13)) = X13,
c_0_395 ).
fof(c_0_838,axiom,
! [X13,X15] : c_List_Oset(c_List_Oremdups(X13,X15),X15) = c_List_Oset(X13,X15),
c_0_396 ).
fof(c_0_839,axiom,
! [X13,X15] : c_List_Oset(c_List_Orotate1(X13,X15),X15) = c_List_Oset(X13,X15),
c_0_397 ).
fof(c_0_840,axiom,
! [X21] : c_lessequals(X21,X21,tc_nat),
c_0_398 ).
fof(c_0_841,axiom,
! [X14] : c_lessequals(X14,X14,tc_nat),
c_0_399 ).
fof(c_0_842,axiom,
! [X6,X7,X8,X64] :
( c_Event_Oevent_OGets(X64,X7) != c_Event_Oevent_OGets(X8,X6)
| X64 = X8 ),
c_0_400 ).
fof(c_0_843,axiom,
! [X6,X7,X8,X64] :
( c_Event_Oevent_OGets(X64,X7) != c_Event_Oevent_OGets(X8,X6)
| X7 = X6 ),
c_0_401 ).
fof(c_0_844,axiom,
! [X13,X15] :
( hAPP(c_List_Orev(X15),X13) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_402 ).
fof(c_0_845,axiom,
! [X13,X15] :
( c_List_Olist_ONil(X15) != hAPP(c_List_Orev(X15),X13)
| X13 = c_List_Olist_ONil(X15) ),
c_0_403 ).
fof(c_0_846,axiom,
! [X13,X15] : c_List_Odistinct(c_List_Oremdups(X13,X15),X15),
c_0_404 ).
fof(c_0_847,axiom,
! [X13,X15] :
( c_List_Oremdups(X13,X15) != X13
| c_List_Odistinct(X13,X15) ),
c_0_405 ).
fof(c_0_848,plain,
! [X13,X15] :
( c_List_Oremdups(X13,X15) = X13
| ~ c_List_Odistinct(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_849,plain,
! [X70,X71] :
( class_HOL_Oord(tc_fun(X70,X71))
| ~ class_HOL_Oord(X71) ),
inference(fof_simplification,[status(thm)],[c_0_407]) ).
fof(c_0_850,plain,
! [X70,X71] :
( class_Orderings_Oorder(tc_fun(X70,X71))
| ~ class_Orderings_Oorder(X71) ),
inference(fof_simplification,[status(thm)],[c_0_408]) ).
fof(c_0_851,plain,
! [X70,X71] :
( class_Orderings_Opreorder(tc_fun(X70,X71))
| ~ class_Orderings_Opreorder(X71) ),
inference(fof_simplification,[status(thm)],[c_0_409]) ).
fof(c_0_852,axiom,
! [X21,X15] :
( c_List_Olist_ONil(X15) != c_List_Oremdups(X21,X15)
| X21 = c_List_Olist_ONil(X15) ),
c_0_410 ).
fof(c_0_853,axiom,
! [X13,X15] :
( c_List_Orotate1(X13,X15) != c_List_Olist_ONil(X15)
| X13 = c_List_Olist_ONil(X15) ),
c_0_411 ).
fof(c_0_854,axiom,
! [X21,X15] :
( c_List_Oremdups(X21,X15) != c_List_Olist_ONil(X15)
| X21 = c_List_Olist_ONil(X15) ),
c_0_412 ).
fof(c_0_855,axiom,
! [X15] : hAPP(c_List_Orev(X15),c_List_Olist_ONil(X15)) = c_List_Olist_ONil(X15),
c_0_413 ).
fof(c_0_856,axiom,
! [X15] : c_List_Olist_ONil(X15) = hAPP(c_List_Orev(X15),c_List_Olist_ONil(X15)),
c_0_414 ).
fof(c_0_857,plain,
! [X13,X15] :
( X13 = c_List_Olist_ONil(X15)
| ~ c_List_Onull(X13,X15) ),
inference(fof_simplification,[status(thm)],[c_0_415]) ).
fof(c_0_858,plain,
! [X15] :
( ~ class_Orderings_Olinorder(X15)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X15),X15) ),
inference(fof_simplification,[status(thm)],[c_0_416]) ).
fof(c_0_859,axiom,
! [X15] : c_List_Orotate1(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_417 ).
fof(c_0_860,axiom,
! [X15] : c_List_Oremdups(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_418 ).
fof(c_0_861,axiom,
! [X15] : c_List_Olist_ONil(X15) = c_List_Oremdups(c_List_Olist_ONil(X15),X15),
c_0_419 ).
fof(c_0_862,axiom,
! [X15] : c_List_Obutlast(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_420 ).
fof(c_0_863,axiom,
! [X15] : c_List_Otl(c_List_Olist_ONil(X15),X15) = c_List_Olist_ONil(X15),
c_0_421 ).
fof(c_0_864,axiom,
! [X5] : c_Event_Oknows(X5,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X5),
c_0_422 ).
fof(c_0_865,axiom,
! [X15] : c_List_Onull(c_List_Olist_ONil(X15),X15),
c_0_423 ).
fof(c_0_866,axiom,
! [X15] : c_List_Odistinct(c_List_Olist_ONil(X15),X15),
c_0_424 ).
fof(c_0_867,axiom,
! [X55,X61] :
( c_Message_Oagent_OFriend(X61) != c_Message_Oagent_OFriend(X55)
| X61 = X55 ),
c_0_425 ).
fof(c_0_868,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
c_0_426 ).
fof(c_0_869,axiom,
! [X61] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X61),
c_0_427 ).
fof(c_0_870,axiom,
! [X61] : c_Message_Oagent_OFriend(X61) != c_Message_Oagent_OSpy,
c_0_428 ).
fof(c_0_871,axiom,
! [X55] : c_Message_Oagent_OFriend(X55) != c_Message_Oagent_OServer,
c_0_429 ).
fof(c_0_872,axiom,
! [X55] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X55),
c_0_430 ).
fof(c_0_873,axiom,
class_HOL_Oord(tc_bool),
c_0_431 ).
fof(c_0_874,axiom,
class_Orderings_Oorder(tc_bool),
c_0_432 ).
fof(c_0_875,axiom,
class_Orderings_Opreorder(tc_bool),
c_0_433 ).
fof(c_0_876,axiom,
class_HOL_Oord(tc_nat),
c_0_434 ).
fof(c_0_877,axiom,
class_Orderings_Oorder(tc_nat),
c_0_435 ).
fof(c_0_878,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_436 ).
fof(c_0_879,axiom,
class_Orderings_Opreorder(tc_nat),
c_0_437 ).
fof(c_0_880,axiom,
class_Divides_Osemiring__div(tc_nat),
c_0_438 ).
fof(c_0_881,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
c_0_439 ).
fof(c_0_882,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
c_0_440 ).
fof(c_0_883,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_441 ).
fof(c_0_884,plain,
! [X34,X35,X36,X37,X38] :
( ~ hBOOL(hAPP(X38,c_List_Olist_Olist__case(X37,X36,c_List_Olist_OCons(X35,X34,t_b),t_a,t_b)))
| hBOOL(hAPP(X38,hAPP(hAPP(X36,X35),X34))) ),
inference(variable_rename,[status(thm)],[c_0_442]) ).
fof(c_0_885,plain,
! [X55,X56,X57,X58,X59] :
( ~ hBOOL(hAPP(X59,c_List_Olist_Olist__case(X57,X56,c_List_Olist_OCons(X58,X55,t_b),t_a,t_b)))
| hBOOL(hAPP(X59,hAPP(hAPP(X56,X58),X55))) ),
inference(variable_rename,[status(thm)],[c_0_443]) ).
fof(c_0_886,plain,
! [X30,X31,X32,X33,X34] :
( ~ hBOOL(hAPP(X34,c_Message_Oagent_Oagent__case(X33,X32,X31,c_Message_Oagent_OFriend(X30),t_a)))
| hBOOL(hAPP(X34,hAPP(X32,X30))) ),
inference(variable_rename,[status(thm)],[c_0_444]) ).
fof(c_0_887,plain,
! [X62,X63,X64,X65,X66] :
( ~ hBOOL(hAPP(X66,c_Message_Oagent_Oagent__case(X65,X64,X63,c_Message_Oagent_OFriend(X62),t_a)))
| hBOOL(hAPP(X66,hAPP(X64,X62))) ),
inference(variable_rename,[status(thm)],[c_0_445]) ).
fof(c_0_888,plain,
! [X26,X27,X28] :
( ~ hBOOL(hAPP(X28,c_List_Olist_Olist__case(X27,X26,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X28,X27)) ),
inference(variable_rename,[status(thm)],[c_0_446]) ).
fof(c_0_889,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP(X29,c_Message_Oagent_Oagent__case(X28,X27,X26,c_Message_Oagent_OSpy,t_a)))
| hBOOL(hAPP(X29,X26)) ),
inference(variable_rename,[status(thm)],[c_0_447]) ).
fof(c_0_890,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP(X29,c_Message_Oagent_Oagent__case(X28,X27,X26,c_Message_Oagent_OServer,t_a)))
| hBOOL(hAPP(X29,X28)) ),
inference(variable_rename,[status(thm)],[c_0_448]) ).
fof(c_0_891,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_449]) ).
fof(c_0_892,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_450]) ).
fof(c_0_893,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_451]) ).
fof(c_0_894,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_452]) ).
fof(c_0_895,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_453]) ).
fof(c_0_896,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_454]) ).
fof(c_0_897,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_455]) ).
fof(c_0_898,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X30,hAPP(X28,v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_456]) ).
fof(c_0_899,plain,
! [X33,X34,X35,X36,X37,X38,X39] :
( c_Nat_Osize__class_Osize(X35,tc_List_Olist(X38)) != c_Nat_Osize__class_Osize(X33,tc_List_Olist(X39))
| c_Nat_Osize__class_Osize(X36,tc_List_Olist(X38)) != c_Nat_Osize__class_Osize(X34,tc_List_Olist(X39))
| c_List_Olist__all2(X37,c_List_Oappend(X34,X33,X39),c_List_Oappend(X36,X35,X38),X39,X38)
| ~ c_List_Olist__all2(X37,X33,X35,X39,X38)
| ~ c_List_Olist__all2(X37,X34,X36,X39,X38) ),
inference(variable_rename,[status(thm)],[c_0_457]) ).
fof(c_0_900,plain,
! [X52,X53,X54,X55,X56,X57,X58] :
( c_Nat_Osize__class_Osize(X54,tc_List_Olist(X58)) != c_Nat_Osize__class_Osize(X52,tc_List_Olist(X57))
| c_Nat_Osize__class_Osize(X55,tc_List_Olist(X58)) != c_Nat_Osize__class_Osize(X53,tc_List_Olist(X57))
| c_List_Olist__all2(X56,c_List_Oappend(X55,X54,X58),c_List_Oappend(X53,X52,X57),X58,X57)
| ~ c_List_Olist__all2(X56,X54,X52,X58,X57)
| ~ c_List_Olist__all2(X56,X55,X53,X58,X57) ),
inference(variable_rename,[status(thm)],[c_0_458]) ).
fof(c_0_901,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( c_Nat_Osize__class_Osize(X61,tc_List_Olist(X66)) != c_Nat_Osize__class_Osize(X60,tc_List_Olist(X65))
| c_List_Olist__all2(X64,c_List_Oappend(X61,X63,X66),c_List_Oappend(X60,X62,X65),X66,X65)
| ~ c_List_Olist__all2(X64,X63,X62,X66,X65)
| ~ c_List_Olist__all2(X64,X61,X60,X66,X65) ),
inference(variable_rename,[status(thm)],[c_0_459]) ).
fof(c_0_902,plain,
! [X57,X58,X59,X60,X61,X62,X63] :
( c_List_Olist__all2(X61,c_List_Oappend(X60,X58,X63),c_List_Oappend(X59,X57,X62),X63,X62)
| ~ c_List_Olist__all2(X61,X58,X57,X63,X62)
| ~ c_List_Olist__all2(X61,X60,X59,X63,X62) ),
inference(variable_rename,[status(thm)],[c_0_460]) ).
fof(c_0_903,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_461]) ).
fof(c_0_904,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_462]) ).
fof(c_0_905,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_463]) ).
fof(c_0_906,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| ~ hBOOL(hAPP(X30,X27))
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_464]) ).
fof(c_0_907,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_465]) ).
fof(c_0_908,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))
| ~ hBOOL(hAPP(X30,X29)) ),
inference(variable_rename,[status(thm)],[c_0_466]) ).
fof(c_0_909,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X30,X28,X26))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_467]) ).
fof(c_0_910,plain,
! [X26,X27,X28,X29,X30] :
( hBOOL(hAPP(X30,c_Message_Oagent_Oagent__case(X29,X28,X27,X26,t_a)))
| X26 = c_Message_Oagent_OSpy
| X26 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X30,X28,X26))
| X26 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_468]) ).
fof(c_0_911,plain,
! [X38,X39,X40,X41,X42,X43] : c_List_Ofoldr(X40,c_List_Oappend(X39,X38,X42),X41,X42,X43) = c_List_Ofoldr(X40,X39,c_List_Ofoldr(X40,X38,X41,X42,X43),X42,X43),
inference(variable_rename,[status(thm)],[c_0_469]) ).
fof(c_0_912,plain,
! [X38,X39,X40,X41,X42,X43] : c_List_Ofoldl(X40,X41,c_List_Oappend(X39,X38,X42),X43,X42) = c_List_Ofoldl(X40,c_List_Ofoldl(X40,X41,X39,X43,X42),X38,X43,X42),
inference(variable_rename,[status(thm)],[c_0_470]) ).
fof(c_0_913,plain,
! [X29,X30,X31,X32,X33,X34,X35,X36] :
( hAPP(X34,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X34,X31,X36)) != hAPP(X31,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X34,X31,X36))
| X29 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X35,X34,X33,X29,X36) = c_Message_Oagent_Oagent__case(X32,X31,X30,X29,X36)
| X29 = c_Message_Oagent_OSpy ),
inference(variable_rename,[status(thm)],[c_0_471]) ).
fof(c_0_914,plain,
! [X30,X31,X32,X33,X34,X35,X36] :
( hAPP(X34,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X30,X34,X32,X36)) != hAPP(X32,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X30,X34,X32,X36))
| X30 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X35,X34,X31,X30,X36) = c_Message_Oagent_Oagent__case(X33,X32,X31,X30,X36) ),
inference(variable_rename,[status(thm)],[c_0_472]) ).
fof(c_0_915,plain,
! [X30,X31,X32,X33,X34,X35,X36] :
( hAPP(X35,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X30,X35,X33,X36)) != hAPP(X33,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X30,X35,X33,X36))
| c_Message_Oagent_Oagent__case(X31,X35,X34,X30,X36) = c_Message_Oagent_Oagent__case(X31,X33,X32,X30,X36)
| X30 = c_Message_Oagent_OSpy ),
inference(variable_rename,[status(thm)],[c_0_473]) ).
fof(c_0_916,plain,
! [X34,X35,X36,X37,X38,X39] :
( hAPP(X38,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X34,X38,X37,X39)) != hAPP(X37,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X34,X38,X37,X39))
| c_Message_Oagent_Oagent__case(X35,X38,X36,X34,X39) = c_Message_Oagent_Oagent__case(X35,X37,X36,X34,X39) ),
inference(variable_rename,[status(thm)],[c_0_474]) ).
fof(c_0_917,plain,
! [X55,X56,X57,X58,X59,X60] : c_List_Olist_Olist__rec(X57,X56,c_List_Olist_OCons(X58,X55,X59),X60,X59) = hAPP(hAPP(hAPP(X56,X58),X55),c_List_Olist_Olist__rec(X57,X56,X55,X60,X59)),
inference(variable_rename,[status(thm)],[c_0_475]) ).
fof(c_0_918,plain,
! [X38,X39,X40,X41,X42,X43] : c_List_Ofoldr(X40,c_List_Olist_OCons(X39,X38,X42),X41,X42,X43) = hAPP(hAPP(X40,X39),c_List_Ofoldr(X40,X38,X41,X42,X43)),
inference(variable_rename,[status(thm)],[c_0_476]) ).
fof(c_0_919,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( c_Nat_Osize__class_Osize(X61,tc_List_Olist(X66)) != c_Nat_Osize__class_Osize(X60,tc_List_Olist(X65))
| c_List_Olist__all2(X64,X63,X62,X66,X65)
| ~ c_List_Olist__all2(X64,c_List_Oappend(X61,X63,X66),c_List_Oappend(X60,X62,X65),X66,X65) ),
inference(variable_rename,[status(thm)],[c_0_477]) ).
fof(c_0_920,plain,
! [X60,X61,X62,X63,X64,X65,X66] :
( c_Nat_Osize__class_Osize(X61,tc_List_Olist(X66)) != c_Nat_Osize__class_Osize(X60,tc_List_Olist(X65))
| c_List_Olist__all2(X64,X61,X60,X66,X65)
| ~ c_List_Olist__all2(X64,c_List_Oappend(X61,X63,X66),c_List_Oappend(X60,X62,X65),X66,X65) ),
inference(variable_rename,[status(thm)],[c_0_478]) ).
fof(c_0_921,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( c_List_Olist__all2(X44,c_List_Olist_OCons(X43,X42,X46),c_List_Olist_OCons(X41,X40,X45),X46,X45)
| ~ c_List_Olist__all2(X44,X42,X40,X46,X45)
| ~ hBOOL(hAPP(hAPP(X44,X43),X41)) ),
inference(variable_rename,[status(thm)],[c_0_479]) ).
fof(c_0_922,plain,
! [X34,X35,X36,X37,X38,X39,X40] :
( c_List_Olist__all2(X38,c_List_Olist_OCons(X37,X34,X40),c_List_Olist_OCons(X36,X35,X39),X40,X39)
| ~ c_List_Olist__all2(X38,X34,X35,X40,X39)
| ~ hBOOL(hAPP(hAPP(X38,X37),X36)) ),
inference(variable_rename,[status(thm)],[c_0_480]) ).
fof(c_0_923,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( c_List_Olist__all2(X44,c_List_Olist_OCons(X43,X42,X46),c_List_Olist_OCons(X41,X40,X45),X46,X45)
| ~ c_List_Olist__all2(X44,X42,X40,X46,X45)
| ~ hBOOL(hAPP(hAPP(X44,X43),X41)) ),
inference(variable_rename,[status(thm)],[c_0_481]) ).
fof(c_0_924,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( c_List_Olist__all2(X44,X42,X40,X46,X45)
| ~ c_List_Olist__all2(X44,c_List_Olist_OCons(X43,X42,X46),c_List_Olist_OCons(X41,X40,X45),X46,X45) ),
inference(variable_rename,[status(thm)],[c_0_482]) ).
fof(c_0_925,plain,
! [X67,X68,X69,X70,X71,X72] :
( c_List_Olist__all2(X70,c_List_Odrop(X67,X69,X72),c_List_Odrop(X67,X68,X71),X72,X71)
| ~ c_List_Olist__all2(X70,X69,X68,X72,X71) ),
inference(variable_rename,[status(thm)],[c_0_483]) ).
fof(c_0_926,plain,
! [X33,X34,X35,X36,X37,X38] :
( c_List_Olist__all2(X36,c_List_Otake(X35,X34,X38),c_List_Otake(X35,X33,X37),X38,X37)
| ~ c_List_Olist__all2(X36,X34,X33,X38,X37) ),
inference(variable_rename,[status(thm)],[c_0_484]) ).
fof(c_0_927,plain,
! [X33,X34,X35,X36,X37] :
( c_List_Olist__all2(X35,X34,X33,X37,X36)
| ~ c_List_Olist__all2(X35,hAPP(c_List_Orev(X37),X34),hAPP(c_List_Orev(X36),X33),X37,X36) ),
inference(variable_rename,[status(thm)],[c_0_485]) ).
fof(c_0_928,plain,
! [X33,X34,X35,X36,X37] :
( c_List_Olist__all2(X35,X34,hAPP(c_List_Orev(X36),X33),X37,X36)
| ~ c_List_Olist__all2(X35,hAPP(c_List_Orev(X37),X34),X33,X37,X36) ),
inference(variable_rename,[status(thm)],[c_0_486]) ).
fof(c_0_929,plain,
! [X33,X34,X35,X36,X37] :
( c_List_Olist__all2(X35,hAPP(c_List_Orev(X37),X34),X33,X37,X36)
| ~ c_List_Olist__all2(X35,X34,hAPP(c_List_Orev(X36),X33),X37,X36) ),
inference(variable_rename,[status(thm)],[c_0_487]) ).
fof(c_0_930,plain,
! [X33,X34,X35,X36,X37] :
( c_List_Olist__all2(X35,hAPP(c_List_Orev(X37),X34),hAPP(c_List_Orev(X36),X33),X37,X36)
| ~ c_List_Olist__all2(X35,X34,X33,X37,X36) ),
inference(variable_rename,[status(thm)],[c_0_488]) ).
fof(c_0_931,plain,
! [X29,X30,X31,X32,X33,X34,X35,X36] :
( c_Message_Oagent_Oagent__case(X35,X34,X33,X29,X36) = c_Message_Oagent_Oagent__case(X32,X31,X30,X29,X36)
| X29 = c_Message_Oagent_OSpy
| X29 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X29,X34,X31,X36))
| X29 = c_Message_Oagent_OServer ),
inference(variable_rename,[status(thm)],[c_0_489]) ).
fof(c_0_932,plain,
! [X30,X31,X32,X33,X34,X35,X36] :
( X30 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X30,X34,X32,X36))
| X30 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X35,X34,X31,X30,X36) = c_Message_Oagent_Oagent__case(X33,X32,X31,X30,X36) ),
inference(variable_rename,[status(thm)],[c_0_490]) ).
fof(c_0_933,plain,
! [X30,X31,X32,X33,X34,X35,X36] :
( c_Message_Oagent_Oagent__case(X31,X35,X34,X30,X36) = c_Message_Oagent_Oagent__case(X31,X33,X32,X30,X36)
| X30 = c_Message_Oagent_OSpy
| X30 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X30,X35,X33,X36)) ),
inference(variable_rename,[status(thm)],[c_0_491]) ).
fof(c_0_934,plain,
! [X34,X35,X36,X37,X38,X39] :
( X34 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X34,X38,X37,X39))
| c_Message_Oagent_Oagent__case(X35,X38,X36,X34,X39) = c_Message_Oagent_Oagent__case(X35,X37,X36,X34,X39) ),
inference(variable_rename,[status(thm)],[c_0_492]) ).
fof(c_0_935,plain,
! [X38,X39,X40,X41,X42,X43] : c_List_Ofoldl(X40,X41,c_List_Olist_OCons(X39,X38,X42),X43,X42) = c_List_Ofoldl(X40,hAPP(hAPP(X40,X41),X39),X38,X43,X42),
inference(variable_rename,[status(thm)],[c_0_493]) ).
fof(c_0_936,plain,
! [X52,X53,X54,X55,X56,X57] :
( c_Nat_Osize__class_Osize(X54,tc_List_Olist(X57)) != c_Nat_Osize__class_Osize(X53,tc_List_Olist(X56))
| c_Map_Omap__upds(X55,X54,c_List_Oappend(X53,X52,X56),X57,X56) = c_Map_Omap__upds(X55,X54,X53,X57,X56) ),
inference(variable_rename,[status(thm)],[c_0_494]) ).
fof(c_0_937,plain,
! [X52,X53,X54,X55,X56,X57] :
( c_Nat_Osize__class_Osize(X54,tc_List_Olist(X57)) != c_Nat_Osize__class_Osize(X53,tc_List_Olist(X56))
| c_Map_Omap__upds(X55,c_List_Oappend(X54,X52,X57),X53,X57,X56) = c_Map_Omap__upds(X55,X54,X53,X57,X56) ),
inference(variable_rename,[status(thm)],[c_0_495]) ).
fof(c_0_938,plain,
! [X40,X41,X42,X43,X44,X45,X46] :
( hBOOL(hAPP(hAPP(X44,X43),X41))
| ~ c_List_Olist__all2(X44,c_List_Olist_OCons(X43,X42,X46),c_List_Olist_OCons(X41,X40,X45),X46,X45) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_496])])]) ).
fof(c_0_939,plain,
! [X20,X21,X22,X23] :
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X21,tc_List_Olist(X23)),X22,X23),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),X21,X23),X20,X23),X23) != X20
| c_List_Otake(c_Nat_Osize__class_Osize(X21,tc_List_Olist(X23)),X22,X23) != X21
| X22 != c_List_Otake(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),X21,X23)
| c_List_Oappend(X22,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),X21,X23),X20,X23),X23) = c_List_Oappend(X21,X20,X23) ),
inference(variable_rename,[status(thm)],[c_0_497]) ).
fof(c_0_940,plain,
! [X33,X34,X35,X36,X37] :
( c_Nat_Osize__class_Osize(X34,tc_List_Olist(X37)) = c_Nat_Osize__class_Osize(X33,tc_List_Olist(X36))
| ~ c_List_Olist__all2(X35,X34,X33,X37,X36) ),
inference(variable_rename,[status(thm)],[c_0_498]) ).
fof(c_0_941,plain,
! [X33,X34,X35,X36] :
( X33 = c_List_Olist_ONil(X35)
| ~ c_List_Olist__all2(X34,c_List_Olist_ONil(X36),X33,X36,X35) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_499])])]) ).
fof(c_0_942,plain,
! [X33,X34,X35,X36] :
( X33 = c_List_Olist_ONil(X36)
| ~ c_List_Olist__all2(X34,X33,c_List_Olist_ONil(X35),X36,X35) ),
inference(variable_rename,[status(thm)],[c_0_500]) ).
fof(c_0_943,plain,
! [X21,X22,X23] :
( X22 = X21
| ~ c_List_Olist__all2(c_fequal(X23),X22,X21,X23,X23) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_501])])]) ).
fof(c_0_944,plain,
! [X41,X42,X43,X44,X45,X46] : c_List_Omap(X44,c_List_Olist__update(X42,X43,X41,X45),X45,X46) = c_List_Olist__update(c_List_Omap(X44,X42,X45,X46),X43,hAPP(X44,X41),X46),
inference(variable_rename,[status(thm)],[c_0_502]) ).
fof(c_0_945,plain,
! [X68,X69,X70,X71,X72,X73] :
( c_List_Olist__update(c_List_Olist__update(X68,X72,X70,X73),X71,X69,X73) = c_List_Olist__update(c_List_Olist__update(X68,X71,X69,X73),X72,X70,X73)
| X72 = X71 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_503])])]) ).
fof(c_0_946,plain,
! [X33,X34,X35,X36,X37] : c_List_Omap(X35,c_List_Oappend(X34,X33,X36),X36,X37) = c_List_Oappend(c_List_Omap(X35,X34,X36,X37),c_List_Omap(X35,X33,X36,X37),X37),
inference(variable_rename,[status(thm)],[c_0_504]) ).
fof(c_0_947,plain,
! [X55,X56,X57,X58,X59,X60] : c_List_Olist_Olist__case(X57,X56,c_List_Olist_OCons(X58,X55,X59),X60,X59) = hAPP(hAPP(X56,X58),X55),
inference(variable_rename,[status(thm)],[c_0_505]) ).
fof(c_0_948,plain,
! [X16,X17,X18] : c_List_Orotate(X17,hAPP(c_List_Orev(X18),X16),X18) = hAPP(c_List_Orev(X18),c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),c_Divides_Odiv__class_Omod(X17,c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),tc_nat),tc_nat),X16,X18)),
inference(variable_rename,[status(thm)],[c_0_506]) ).
fof(c_0_949,plain,
! [X35,X36,X37,X38] : c_lessequals(c_List_Oset(c_List_Olist__update(X35,X37,X36,X38),X38),c_Set_Oinsert(X36,c_List_Oset(X35,X38),X38),tc_fun(X38,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_507]) ).
fof(c_0_950,plain,
! [X62,X63,X64,X65,X66] : c_Message_Oagent_Oagent__rec(X65,X64,X63,c_Message_Oagent_OFriend(X62),X66) = hAPP(X64,X62),
inference(variable_rename,[status(thm)],[c_0_508]) ).
fof(c_0_951,plain,
! [X62,X63,X64,X65,X66] : c_Message_Oagent_Oagent__case(X65,X64,X63,c_Message_Oagent_OFriend(X62),X66) = hAPP(X64,X62),
inference(variable_rename,[status(thm)],[c_0_509]) ).
fof(c_0_952,plain,
! [X33,X34,X35] : c_List_Olist__all2(X33,c_List_Olist_ONil(X35),c_List_Olist_ONil(X34),X35,X34),
inference(variable_rename,[status(thm)],[c_0_510]) ).
fof(c_0_953,plain,
! [X33,X34,X35,X36] : c_List_Olist_Olist__case(X34,X33,c_List_Olist_ONil(X35),X36,X35) = X34,
inference(variable_rename,[status(thm)],[c_0_511]) ).
fof(c_0_954,plain,
! [X66,X67,X68,X69] : c_Map_Omap__upds(X66,c_List_Olist_ONil(X69),X67,X69,X68) = X66,
inference(variable_rename,[status(thm)],[c_0_512]) ).
fof(c_0_955,plain,
! [X67,X68,X69,X70] : c_Map_Omap__upds(X67,X68,c_List_Olist_ONil(X69),X70,X69) = X67,
inference(variable_rename,[status(thm)],[c_0_513]) ).
fof(c_0_956,plain,
! [X33,X34,X35,X36] : c_List_Olist_Olist__rec(X34,X33,c_List_Olist_ONil(X35),X36,X35) = X34,
inference(variable_rename,[status(thm)],[c_0_514]) ).
fof(c_0_957,plain,
! [X38,X39,X40,X41] : c_List_Ofoldr(X38,c_List_Olist_ONil(X40),X39,X40,X41) = X39,
inference(variable_rename,[status(thm)],[c_0_515]) ).
fof(c_0_958,plain,
! [X38,X39,X40,X41] : c_List_Ofoldl(X38,X39,c_List_Olist_ONil(X40),X41,X40) = X39,
inference(variable_rename,[status(thm)],[c_0_516]) ).
fof(c_0_959,plain,
! [X22,X23] : c_List_Olist__all2(c_fequal(X23),X22,X22,X23,X23),
inference(variable_rename,[status(thm)],[c_0_517]) ).
fof(c_0_960,plain,
! [X25,X26,X27,X28] : c_Message_Oagent_Oagent__rec(X27,X26,X25,c_Message_Oagent_OSpy,X28) = X25,
inference(variable_rename,[status(thm)],[c_0_518]) ).
fof(c_0_961,plain,
! [X25,X26,X27,X28] : c_Message_Oagent_Oagent__case(X27,X26,X25,c_Message_Oagent_OSpy,X28) = X25,
inference(variable_rename,[status(thm)],[c_0_519]) ).
fof(c_0_962,plain,
! [X25,X26,X27,X28] : c_Message_Oagent_Oagent__rec(X27,X26,X25,c_Message_Oagent_OServer,X28) = X27,
inference(variable_rename,[status(thm)],[c_0_520]) ).
fof(c_0_963,plain,
! [X25,X26,X27,X28] : c_Message_Oagent_Oagent__case(X27,X26,X25,c_Message_Oagent_OServer,X28) = X27,
inference(variable_rename,[status(thm)],[c_0_521]) ).
fof(c_0_964,plain,
! [X33,X34,X35,X36] :
( c_Fun_Oinj__on(X34,c_List_Oset(X33,X35),X35,X36)
| ~ c_List_Odistinct(c_List_Omap(X34,X33,X35,X36),X36) ),
inference(variable_rename,[status(thm)],[c_0_522]) ).
fof(c_0_965,plain,
! [X16,X17,X18] : c_List_Orotate(X17,X16,X18) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X17,c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),tc_nat),X16,X18),c_List_Otake(c_Divides_Odiv__class_Omod(X17,c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),tc_nat),X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_523]) ).
fof(c_0_966,plain,
! [X40,X41,X42,X43,X44] : c_List_Olist__update(c_List_Olist__update(X41,X43,X42,X44),X43,X40,X44) = c_List_Olist__update(X41,X43,X40,X44),
inference(variable_rename,[status(thm)],[c_0_524]) ).
fof(c_0_967,plain,
! [X64,X65,X66,X67,X68,X69] :
( c_List_Olistrelp(X68,c_List_Olist_OCons(X67,X66,X69),c_List_Olist_OCons(X65,X64,X69),X69)
| ~ c_List_Olistrelp(X68,X66,X64,X69)
| ~ hBOOL(hAPP(hAPP(X68,X67),X65)) ),
inference(variable_rename,[status(thm)],[c_0_525]) ).
fof(c_0_968,plain,
! [X33,X34,X35,X36] :
( c_List_Odistinct(c_List_Omap(X34,X33,X35,X36),X36)
| ~ c_Fun_Oinj__on(X34,c_List_Oset(X33,X35),X35,X36)
| ~ c_List_Odistinct(X33,X35) ),
inference(variable_rename,[status(thm)],[c_0_526]) ).
fof(c_0_969,plain,
! [X20,X21,X22,X23] :
( X22 != c_List_Otake(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),X21,X23)
| c_List_Oappend(X22,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),X21,X23),X20,X23),X23) = c_List_Oappend(X21,X20,X23)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),c_Nat_Osize__class_Osize(X21,tc_List_Olist(X23)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_527]) ).
fof(c_0_970,plain,
! [X33,X34,X35,X36,X37] : c_List_Omap(X35,c_List_Olist_OCons(X34,X33,X36),X36,X37) = c_List_Olist_OCons(hAPP(X35,X34),c_List_Omap(X35,X33,X36,X37),X37),
inference(variable_rename,[status(thm)],[c_0_528]) ).
fof(c_0_971,plain,
! [X34,X35,X36,X37,X38] : c_List_Olist_OCons(hAPP(X36,X35),c_List_Omap(X36,X34,X37,X38),X38) = c_List_Omap(X36,c_List_Olist_OCons(X35,X34,X37),X37,X38),
inference(variable_rename,[status(thm)],[c_0_529]) ).
fof(c_0_972,plain,
! [X33,X34,X35,X36,X37] : c_List_Omap(X35,c_List_Olist_OCons(X34,X33,X36),X36,X37) = c_List_Olist_OCons(hAPP(X35,X34),c_List_Omap(X35,X33,X36,X37),X37),
inference(variable_rename,[status(thm)],[c_0_530]) ).
fof(c_0_973,plain,
! [X33,X34,X35,X36,X37] : c_List_Odrop(X34,c_List_Omap(X35,X33,X36,X37),X37) = c_List_Omap(X35,c_List_Odrop(X34,X33,X36),X36,X37),
inference(variable_rename,[status(thm)],[c_0_531]) ).
fof(c_0_974,plain,
! [X33,X34,X35,X36,X37] : c_List_Orotate(X34,c_List_Omap(X35,X33,X36,X37),X37) = c_List_Omap(X35,c_List_Orotate(X34,X33,X36),X36,X37),
inference(variable_rename,[status(thm)],[c_0_532]) ).
fof(c_0_975,plain,
! [X33,X34,X35,X36,X37] : c_List_Otake(X34,c_List_Omap(X35,X33,X36,X37),X37) = c_List_Omap(X35,c_List_Otake(X34,X33,X36),X36,X37),
inference(variable_rename,[status(thm)],[c_0_533]) ).
fof(c_0_976,plain,
! [X26,X27,X28] :
( ~ hBOOL(hAPP(X27,c_List_Ohd(c_List_OdropWhile(X27,X26,X28),X28)))
| c_List_OdropWhile(X27,X26,X28) = c_List_Olist_ONil(X28) ),
inference(variable_rename,[status(thm)],[c_0_534]) ).
fof(c_0_977,plain,
! [X20,X21,X22,X23] :
( c_List_Otake(c_Nat_Osize__class_Osize(X20,tc_List_Olist(X23)),X22,X23) != X20
| c_lessequals(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),c_Nat_Osize__class_Osize(X20,tc_List_Olist(X23)),tc_nat)
| c_List_Oappend(X22,X21,X23) = c_List_Oappend(X20,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X20,tc_List_Olist(X23)),X22,X23),X21,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_535]) ).
fof(c_0_978,plain,
! [X6,X7,X8,X9] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X6,c_List_Olist_OCons(c_Event_Oevent_OSays(X9,X8,X7),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_536]) ).
fof(c_0_979,plain,
! [X33,X34,X35,X36,X37] :
( c_List_Omap(X35,X34,X36,X37) != c_List_Omap(X35,X33,X36,X37)
| c_Nat_Osize__class_Osize(X34,tc_List_Olist(X36)) = c_Nat_Osize__class_Osize(X33,tc_List_Olist(X36)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_537])])]) ).
fof(c_0_980,plain,
! [X33,X34,X35,X36] :
( c_List_Odistinct(X33,X35)
| ~ c_List_Odistinct(c_List_Omap(X34,X33,X35,X36),X36) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_538])])]) ).
fof(c_0_981,plain,
! [X33,X34,X35,X36] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X35)
| c_Finite__Set_Osetsum(X34,c_List_Oset(X33,X36),X36,X35) = c_List_Olistsum(c_List_Omap(X34,X33,X36,X35),X35)
| ~ c_List_Odistinct(X33,X36) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_539])])]) ).
fof(c_0_982,plain,
! [X38,X39,X40,X41,X42] :
( c_Fun_Oinj__on(X38,X40,X42,X41)
| ~ c_Fun_Oinj__on(X38,c_Set_Oinsert(X39,X40,X42),X42,X41) ),
inference(variable_rename,[status(thm)],[c_0_540]) ).
fof(c_0_983,plain,
! [X33,X34,X35,X36] : hAPP(c_List_Orev(X36),c_List_Omap(X34,X33,X35,X36)) = c_List_Omap(X34,hAPP(c_List_Orev(X35),X33),X35,X36),
inference(variable_rename,[status(thm)],[c_0_541]) ).
fof(c_0_984,plain,
! [X21,X22,X23,X24] : c_List_Odrop(X23,c_List_Oappend(X22,X21,X24),X24) = c_List_Oappend(c_List_Odrop(X23,X22,X24),c_List_Odrop(c_HOL_Ominus__class_Ominus(X23,c_Nat_Osize__class_Osize(X22,tc_List_Olist(X24)),tc_nat),X21,X24),X24),
inference(variable_rename,[status(thm)],[c_0_542]) ).
fof(c_0_985,plain,
! [X21,X22,X23,X24] : c_List_Otake(X23,c_List_Oappend(X22,X21,X24),X24) = c_List_Oappend(c_List_Otake(X23,X22,X24),c_List_Otake(c_HOL_Ominus__class_Ominus(X23,c_Nat_Osize__class_Osize(X22,tc_List_Olist(X24)),tc_nat),X21,X24),X24),
inference(variable_rename,[status(thm)],[c_0_543]) ).
fof(c_0_986,plain,
! [X40,X41,X42,X43,X44] : c_List_Olist__update(c_List_Oappend(X42,c_List_Olist_OCons(X43,X40,X44),X44),c_Nat_Osize__class_Osize(X42,tc_List_Olist(X44)),X41,X44) = c_List_Oappend(X42,c_List_Olist_OCons(X41,X40,X44),X44),
inference(variable_rename,[status(thm)],[c_0_544]) ).
fof(c_0_987,plain,
! [X6,X7,X8,X9,X10] : c_lessequals(c_Event_Oknows(X10,X6),c_Event_Oknows(X10,c_List_Olist_OCons(c_Event_Oevent_OSays(X9,X8,X7),X6,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_545]) ).
fof(c_0_988,plain,
! [X33,X34,X35,X36,X37] :
( c_Fun_Oinj__on(X33,X35,X37,X36)
| ~ c_lessequals(X35,X34,tc_fun(X37,tc_bool))
| ~ c_Fun_Oinj__on(X33,X34,X37,X36) ),
inference(variable_rename,[status(thm)],[c_0_546]) ).
fof(c_0_989,plain,
! [X38,X39,X40,X41] :
( ~ class_Divides_Oring__div(X41)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X40,X39,X41),X38,X41) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X40,X38,X41),c_Divides_Odiv__class_Omod(X39,X38,X41),X41),X38,X41) ),
inference(variable_rename,[status(thm)],[c_0_547]) ).
fof(c_0_990,plain,
! [X6,X7,X8,X9] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X6),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X9,X8,X7),X6,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_548]) ).
fof(c_0_991,plain,
! [X47,X48,X49,X50,X51,X52] :
( ~ class_Divides_Oring__div(X52)
| c_Divides_Odiv__class_Omod(X49,X47,X52) != c_Divides_Odiv__class_Omod(X48,X47,X52)
| c_Divides_Odiv__class_Omod(X51,X47,X52) != c_Divides_Odiv__class_Omod(X50,X47,X52)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X51,X49,X52),X47,X52) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X50,X48,X52),X47,X52) ),
inference(variable_rename,[status(thm)],[c_0_549]) ).
fof(c_0_992,plain,
! [X52,X53,X54,X55] :
( ~ class_Orderings_Olinorder(X55)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X53,X52,X55),X55)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X54,c_List_Olist_OCons(X53,X52,X55),X55),X55) ),
inference(variable_rename,[status(thm)],[c_0_550]) ).
fof(c_0_993,plain,
! [X22,X23,X24,X25] : c_List_Oappend(c_List_Oreplicate(X24,X23,X25),c_List_Olist_OCons(X23,X22,X25),X25) = c_List_Olist_OCons(X23,c_List_Oappend(c_List_Oreplicate(X24,X23,X25),X22,X25),X25),
inference(variable_rename,[status(thm)],[c_0_551]) ).
fof(c_0_994,plain,
! [X41,X42,X43] :
( c_lessequals(X42,X41,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X42,X43,tc_nat),c_HOL_Ominus__class_Ominus(X41,X43,tc_nat),tc_nat)
| ~ c_lessequals(X43,X41,tc_nat)
| ~ c_lessequals(X43,X42,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_552])])]) ).
fof(c_0_995,plain,
! [X52,X53,X54,X55] :
( ~ class_Orderings_Olinorder(X55)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X54,c_List_Olist_OCons(X53,X52,X55),X55),X55)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X53,X52,X55),X55)
| ~ c_lessequals(X54,X53,X55) ),
inference(variable_rename,[status(thm)],[c_0_553]) ).
fof(c_0_996,plain,
! [X20,X21,X22,X23,X24] :
( c_List_Oappend(X23,X22,X24) != c_List_Oappend(X21,X20,X24)
| X22 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X23,tc_List_Olist(X24)),X21,X24),X20,X24)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X23,tc_List_Olist(X24)),c_Nat_Osize__class_Osize(X21,tc_List_Olist(X24)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_554]) ).
fof(c_0_997,plain,
! [X52,X53,X54,X55] :
( ~ class_Orderings_Olinorder(X55)
| c_lessequals(X54,X53,X55)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X54,c_List_Olist_OCons(X53,X52,X55),X55),X55) ),
inference(variable_rename,[status(thm)],[c_0_555]) ).
fof(c_0_998,plain,
! [X40,X41,X42,X43,X44] :
( c_List_Oappend(X42,c_List_Olist_OCons(X43,c_List_Olist_ONil(X44),X44),X44) != c_List_Oappend(X40,c_List_Olist_OCons(X41,c_List_Olist_ONil(X44),X44),X44)
| X43 = X41 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_556])])]) ).
fof(c_0_999,plain,
! [X40,X41,X42,X43,X44] :
( c_List_Oappend(X42,c_List_Olist_OCons(X43,c_List_Olist_ONil(X44),X44),X44) != c_List_Oappend(X40,c_List_Olist_OCons(X41,c_List_Olist_ONil(X44),X44),X44)
| X42 = X40 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_557])])]) ).
fof(c_0_1000,plain,
! [X38,X39,X40,X41] :
( ~ class_Divides_Oring__div(X41)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X40,X39,X41),X38,X41) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X40,X38,X41),X39,X41),X38,X41) ),
inference(variable_rename,[status(thm)],[c_0_558]) ).
fof(c_0_1001,plain,
! [X38,X39,X40,X41] :
( ~ class_Divides_Oring__div(X41)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X40,X39,X41),X38,X41) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X40,c_Divides_Odiv__class_Omod(X39,X38,X41),X41),X38,X41) ),
inference(variable_rename,[status(thm)],[c_0_559]) ).
fof(c_0_1002,plain,
! [X20,X21,X22,X23,X24] :
( c_List_Oappend(X23,X22,X24) != c_List_Oappend(X21,X20,X24)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X21,tc_List_Olist(X24)),X23,X24),X22,X24) = X20
| c_lessequals(c_Nat_Osize__class_Osize(X23,tc_List_Olist(X24)),c_Nat_Osize__class_Osize(X21,tc_List_Olist(X24)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_560]) ).
fof(c_0_1003,plain,
! [X22,X23,X24] : ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X23,X22,X24),tc_List_Olist(X24)),c_Nat_Osize__class_Osize(X22,tc_List_Olist(X24)),tc_nat),
inference(variable_rename,[status(thm)],[c_0_561]) ).
fof(c_0_1004,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X56),v_sko__List__Xlast__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_562]) ).
fof(c_0_1005,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X56),v_sko__List__Xlistsum__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_563]) ).
fof(c_0_1006,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X56),v_sko__List__Xdistinct__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_564]) ).
fof(c_0_1007,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X56),v_sko__List__Xremove1__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_565]) ).
fof(c_0_1008,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X56),v_sko__List__Xlistset__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_566]) ).
fof(c_0_1009,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X56),v_sko__List__Xzip__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_567]) ).
fof(c_0_1010,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X56),v_sko__List__XdropWhile__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_568]) ).
fof(c_0_1011,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X56),v_sko__List__XtakeWhile__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_569]) ).
fof(c_0_1012,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X56),v_sko__List__XremoveAll__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_570]) ).
fof(c_0_1013,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X56),v_sko__List__Xlist__update__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_571]) ).
fof(c_0_1014,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| ~ hBOOL(hAPP(X56,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X56),v_sko__List__Xlist__Xinduct__2(X56),t_a)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_572]) ).
fof(c_0_1015,plain,
! [X41,X42,X43,X44] : c_List_Oappend(c_List_Oreplicate(X42,X41,X44),c_List_Oreplicate(X43,X41,X44),X44) = c_List_Oappend(c_List_Oreplicate(X43,X41,X44),c_List_Oreplicate(X42,X41,X44),X44),
inference(variable_rename,[status(thm)],[c_0_573]) ).
fof(c_0_1016,plain,
! [X33,X34,X35,X36] : c_Nat_Osize__class_Osize(c_List_Omap(X34,X33,X35,X36),tc_List_Olist(X36)) = c_Nat_Osize__class_Osize(X33,tc_List_Olist(X35)),
inference(variable_rename,[status(thm)],[c_0_574]) ).
fof(c_0_1017,plain,
! [X35,X36,X37,X38] : c_Nat_Osize__class_Osize(c_List_Olist__update(X35,X37,X36,X38),tc_List_Olist(X38)) = c_Nat_Osize__class_Osize(X35,tc_List_Olist(X38)),
inference(variable_rename,[status(thm)],[c_0_575]) ).
fof(c_0_1018,plain,
! [X41,X42,X43] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X42,X43,tc_nat),c_HOL_Ominus__class_Ominus(X41,X43,tc_nat),tc_nat)
| ~ c_lessequals(X42,X41,tc_nat)
| ~ c_lessequals(X43,X41,tc_nat)
| ~ c_lessequals(X43,X42,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_576]) ).
fof(c_0_1019,plain,
! [X40,X41,X42] : hAPP(c_List_Orev(X42),c_List_Oappend(hAPP(c_List_Orev(X42),X40),c_List_Olist_OCons(X41,c_List_Olist_ONil(X42),X42),X42)) = c_List_Olist_OCons(X41,X40,X42),
inference(variable_rename,[status(thm)],[c_0_577]) ).
fof(c_0_1020,plain,
! [X41,X42,X43] :
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X42,X43,tc_nat),c_HOL_Ominus__class_Ominus(X41,X43,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X42,X41,tc_nat)
| ~ c_lessequals(X43,X41,tc_nat)
| ~ c_lessequals(X43,X42,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_578]) ).
fof(c_0_1021,plain,
! [X20,X21,X22,X23,X24] :
( c_List_Oappend(X23,X22,X24) != c_List_Oappend(X21,X20,X24)
| X23 = c_List_Otake(c_Nat_Osize__class_Osize(X23,tc_List_Olist(X24)),X21,X24)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X23,tc_List_Olist(X24)),c_Nat_Osize__class_Osize(X21,tc_List_Olist(X24)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_579]) ).
fof(c_0_1022,plain,
! [X6,X7,X8] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X6,c_List_Olist_OCons(c_Event_Oevent_OGets(X8,X7),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X6),
inference(variable_rename,[status(thm)],[c_0_580]) ).
fof(c_0_1023,plain,
! [X35,X36,X37] : c_List_Oappend(c_List_Oreplicate(X36,X35,X37),c_List_Olist_OCons(X35,c_List_Olist_ONil(X37),X37),X37) = c_List_Olist_OCons(X35,c_List_Oreplicate(X36,X35,X37),X37),
inference(variable_rename,[status(thm)],[c_0_581]) ).
fof(c_0_1024,plain,
! [X6,X7,X8,X9] : c_lessequals(c_Event_Oknows(X9,X6),c_Event_Oknows(X9,c_List_Olist_OCons(c_Event_Oevent_OGets(X8,X7),X6,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_582]) ).
fof(c_0_1025,plain,
! [X33,X34,X35,X36,X37] : c_List_Omap(X35,c_List_Oreplicate(X34,X33,X36),X36,X37) = c_List_Oreplicate(X34,hAPP(X35,X33),X37),
inference(variable_rename,[status(thm)],[c_0_583]) ).
fof(c_0_1026,plain,
! [X6,X7,X8] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X6),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X8,X7),X6,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_584]) ).
fof(c_0_1027,plain,
! [X26,X27,X28,X29] : c_List_Ofilter(X28,c_List_Oappend(X27,X26,X29),X29) = c_List_Oappend(c_List_Ofilter(X28,X27,X29),c_List_Ofilter(X28,X26,X29),X29),
inference(variable_rename,[status(thm)],[c_0_585]) ).
fof(c_0_1028,plain,
! [X39,X40,X41,X42] : c_List_Odrop(X40,c_List_Otake(X41,X39,X42),X42) = c_List_Otake(c_HOL_Ominus__class_Ominus(X41,X40,tc_nat),c_List_Odrop(X40,X39,X42),X42),
inference(variable_rename,[status(thm)],[c_0_586]) ).
fof(c_0_1029,plain,
! [X40,X41,X42,X43] :
( hBOOL(hAPP(X42,X41))
| X40 = X41
| ~ hBOOL(hAPP(c_Set_Oinsert(X40,X42,X43),X41)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_587])])]) ).
fof(c_0_1030,plain,
! [X51,X52,X53,X54] :
( c_lessequals(c_Set_Oinsert(X51,X53,X54),c_Set_Oinsert(X51,X52,X54),tc_fun(X54,tc_bool))
| ~ c_lessequals(X53,X52,tc_fun(X54,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_588]) ).
fof(c_0_1031,plain,
! [X6,X7,X8,X9] : c_Event_Oknows(X9,c_List_Olist_OCons(c_Event_Oevent_OSays(X9,X8,X7),X6,tc_Event_Oevent)) = c_Set_Oinsert(X7,c_Event_Oknows(X9,X6),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_589]) ).
fof(c_0_1032,plain,
! [X6,X7,X8,X9] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X9,X8,X7),X6,tc_Event_Oevent)) = c_Set_Oinsert(X7,c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_590]) ).
fof(c_0_1033,plain,
! [X41,X42,X43,X44] :
( c_List_Olist__update(X41,X43,X42,X44) != c_List_Olist_ONil(X44)
| X41 = c_List_Olist_ONil(X44) ),
inference(variable_rename,[status(thm)],[c_0_591]) ).
fof(c_0_1034,plain,
! [X33,X34,X35,X36] :
( c_List_Olist_ONil(X36) != c_List_Omap(X34,X33,X35,X36)
| X33 = c_List_Olist_ONil(X35) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_592])])]) ).
fof(c_0_1035,plain,
! [X33,X34,X35,X36] :
( c_List_Omap(X34,X33,X35,X36) != c_List_Olist_ONil(X36)
| X33 = c_List_Olist_ONil(X35) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_593])])]) ).
fof(c_0_1036,plain,
! [X35,X36,X37] : hAPP(c_List_Orev(X37),c_List_Odrop(X36,X35,X37)) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X35,tc_List_Olist(X37)),X36,tc_nat),hAPP(c_List_Orev(X37),X35),X37),
inference(variable_rename,[status(thm)],[c_0_594]) ).
fof(c_0_1037,plain,
! [X35,X36,X37] : hAPP(c_List_Orev(X37),c_List_Otake(X36,X35,X37)) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X35,tc_List_Olist(X37)),X36,tc_nat),hAPP(c_List_Orev(X37),X35),X37),
inference(variable_rename,[status(thm)],[c_0_595]) ).
fof(c_0_1038,plain,
! [X20,X21,X22,X23,X24] :
( c_List_Oappend(X23,X22,X24) != c_List_Oappend(X21,X20,X24)
| c_List_Otake(c_Nat_Osize__class_Osize(X21,tc_List_Olist(X24)),X23,X24) = X21
| c_lessequals(c_Nat_Osize__class_Osize(X23,tc_List_Olist(X24)),c_Nat_Osize__class_Osize(X21,tc_List_Olist(X24)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_596]) ).
fof(c_0_1039,plain,
! [X35,X36,X37,X38] :
( c_List_Olist__update(X35,X37,X36,X38) = X35
| ~ c_lessequals(c_Nat_Osize__class_Osize(X35,tc_List_Olist(X38)),X37,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_597]) ).
fof(c_0_1040,plain,
! [X52,X53,X54] :
( X53 != c_List_Otake(c_Nat_Osize__class_Osize(X53,tc_List_Olist(X54)),X52,X54)
| c_List_Oappend(X53,c_List_Odrop(c_Nat_Osize__class_Osize(X53,tc_List_Olist(X54)),X52,X54),X54) = X52 ),
inference(variable_rename,[status(thm)],[c_0_598]) ).
fof(c_0_1041,plain,
! [X26,X27,X28,X29] :
( c_List_Ofilter(X28,c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Olist_OCons(X27,c_List_Ofilter(X28,X26,X29),X29)
| ~ hBOOL(hAPP(X28,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_599])])]) ).
fof(c_0_1042,plain,
! [X22,X23,X24,X25] :
( c_lessequals(X24,X23,tc_fun(X25,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X22,X24,X25),X23,tc_fun(X25,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_600]) ).
fof(c_0_1043,plain,
! [X22,X23,X24] : c_List_Olast(c_List_Oappend(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24),X24),X24) = X23,
inference(variable_rename,[status(thm)],[c_0_601]) ).
fof(c_0_1044,plain,
! [X22,X23,X24] : c_List_Obutlast(c_List_Oappend(X22,c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24),X24),X24) = X22,
inference(variable_rename,[status(thm)],[c_0_602]) ).
fof(c_0_1045,plain,
! [X45,X46,X47] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X47,X45,tc_nat),c_HOL_Ominus__class_Ominus(X47,X46,tc_nat),tc_nat)
| ~ c_lessequals(X46,X45,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_603])])]) ).
fof(c_0_1046,plain,
! [X45,X46,X47] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X46,X47,tc_nat),c_HOL_Ominus__class_Ominus(X45,X47,tc_nat),tc_nat)
| ~ c_lessequals(X46,X45,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_604])])]) ).
fof(c_0_1047,plain,
! [X54,X55,X56] : c_lessequals(c_List_Oset(c_List_Osublist(X54,X55,X56),X56),c_List_Oset(X54,X56),tc_fun(X56,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_605]) ).
fof(c_0_1048,plain,
! [X22,X23,X24] : c_lessequals(c_List_Oset(c_List_Oremove1(X23,X22,X24),X24),c_List_Oset(X22,X24),tc_fun(X24,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_606]) ).
fof(c_0_1049,plain,
! [X26,X27,X28] : c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(X27,X26,X28),tc_List_Olist(X28)),c_Nat_Osize__class_Osize(X26,tc_List_Olist(X28)),tc_nat),
inference(variable_rename,[status(thm)],[c_0_607]) ).
fof(c_0_1050,plain,
! [X16,X17,X18] : c_lessequals(c_List_Oset(c_List_Odrop(X17,X16,X18),X18),c_List_Oset(X16,X18),tc_fun(X18,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_608]) ).
fof(c_0_1051,plain,
! [X26,X27,X28] : c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X27,X26,X28),tc_List_Olist(X28)),c_Nat_Osize__class_Osize(X26,tc_List_Olist(X28)),tc_nat),
inference(variable_rename,[status(thm)],[c_0_609]) ).
fof(c_0_1052,plain,
! [X26,X27,X28] : c_lessequals(c_List_Oset(c_List_Ofilter(X27,X26,X28),X28),c_List_Oset(X26,X28),tc_fun(X28,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_610]) ).
fof(c_0_1053,plain,
! [X16,X17,X18] : c_lessequals(c_List_Oset(c_List_Otake(X17,X16,X18),X18),c_List_Oset(X16,X18),tc_fun(X18,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_611]) ).
fof(c_0_1054,plain,
! [X22,X23,X24] : c_lessequals(c_List_Oset(X22,X24),c_List_Oset(c_List_Olist_OCons(X23,X22,X24),X24),tc_fun(X24,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_612]) ).
fof(c_0_1055,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__ex(X28,X26,X29)
| hBOOL(hAPP(X28,X27))
| ~ c_List_Olist__ex(X28,c_List_Olist_OCons(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_613]) ).
fof(c_0_1056,plain,
! [X22,X23,X24] : hAPP(c_List_Orev(X24),c_List_Olist_OCons(X23,X22,X24)) = c_List_Oappend(hAPP(c_List_Orev(X24),X22),c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24),X24),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_1057,plain,
! [X41,X42,X43] :
( c_HOL_Ominus__class_Ominus(X42,X43,tc_nat) != c_HOL_Ominus__class_Ominus(X41,X43,tc_nat)
| ~ c_lessequals(X43,X41,tc_nat)
| ~ c_lessequals(X43,X42,tc_nat)
| X42 = X41 ),
inference(variable_rename,[status(thm)],[c_0_615]) ).
fof(c_0_1058,plain,
! [X21,X22,X23,X24] :
( c_List_Olistsp(X23,c_List_Oappend(X22,X21,X24),X24)
| ~ c_List_Olistsp(X23,X21,X24)
| ~ c_List_Olistsp(X23,X22,X24) ),
inference(variable_rename,[status(thm)],[c_0_616]) ).
fof(c_0_1059,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__all(X28,c_List_Oappend(X27,X26,X29),X29)
| ~ c_List_Olist__all(X28,X26,X29)
| ~ c_List_Olist__all(X28,X27,X29) ),
inference(variable_rename,[status(thm)],[c_0_617]) ).
fof(c_0_1060,plain,
! [X53,X54,X55] : c_lessequals(c_Event_Oknows(X55,X53),c_Event_Oknows(X55,c_List_Olist_OCons(X54,X53,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_618]) ).
fof(c_0_1061,plain,
! [X40,X41,X42,X43] :
( hAPP(c_List_Orev(X43),X42) != c_List_Olist_OCons(X41,X40,X43)
| X42 = c_List_Oappend(hAPP(c_List_Orev(X43),X40),c_List_Olist_OCons(X41,c_List_Olist_ONil(X43),X43),X43) ),
inference(variable_rename,[status(thm)],[c_0_619]) ).
fof(c_0_1062,plain,
! [X40,X41,X42,X43] :
( c_List_Oremove1(X42,c_List_Olist_OCons(X40,X41,X43),X43) = c_List_Olist_OCons(X40,c_List_Oremove1(X42,X41,X43),X43)
| X42 = X40 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_620])])]) ).
fof(c_0_1063,plain,
! [X69,X70,X71,X72] : c_List_Oappend(X69,c_List_Oappend(X70,X71,X72),X72) = c_List_Oappend(c_List_Oappend(X69,X70,X72),X71,X72),
inference(variable_rename,[status(thm)],[c_0_621]) ).
fof(c_0_1064,plain,
! [X52,X53,X54,X55] : c_List_Oappend(c_List_Oappend(X52,X54,X55),X53,X55) = c_List_Oappend(X52,c_List_Oappend(X54,X53,X55),X55),
inference(variable_rename,[status(thm)],[c_0_622]) ).
fof(c_0_1065,plain,
! [X60,X61,X62,X63] : c_List_Oappend(X61,c_List_Oappend(X60,X62,X63),X63) = c_List_Oappend(c_List_Oappend(X61,X60,X63),X62,X63),
inference(variable_rename,[status(thm)],[c_0_623]) ).
fof(c_0_1066,plain,
! [X52,X53,X54,X55] : c_List_Oappend(c_List_Oappend(X54,X53,X55),X52,X55) = c_List_Oappend(X54,c_List_Oappend(X53,X52,X55),X55),
inference(variable_rename,[status(thm)],[c_0_624]) ).
fof(c_0_1067,plain,
! [X58,X59,X60,X61] : c_List_Olist_OCons(X60,c_List_Oappend(X59,X58,X61),X61) = c_List_Oappend(c_List_Olist_OCons(X60,X59,X61),X58,X61),
inference(variable_rename,[status(thm)],[c_0_625]) ).
fof(c_0_1068,plain,
! [X52,X53,X54,X55] : c_List_Olist_OCons(X54,c_List_Oappend(X53,X52,X55),X55) = c_List_Oappend(c_List_Olist_OCons(X54,X53,X55),X52,X55),
inference(variable_rename,[status(thm)],[c_0_626]) ).
fof(c_0_1069,plain,
! [X22,X23,X24,X25] : c_List_Oappend(c_List_Olist_OCons(X24,X23,X25),X22,X25) = c_List_Olist_OCons(X24,c_List_Oappend(X23,X22,X25),X25),
inference(variable_rename,[status(thm)],[c_0_627]) ).
fof(c_0_1070,plain,
! [X52,X53,X54,X55] : c_List_Oappend(c_List_Olist_OCons(X54,X53,X55),X52,X55) = c_List_Olist_OCons(X54,c_List_Oappend(X53,X52,X55),X55),
inference(variable_rename,[status(thm)],[c_0_628]) ).
fof(c_0_1071,plain,
! [X40,X41,X42,X43] : c_Set_Oinsert(X41,c_Set_Oinsert(X40,X42,X43),X43) = c_Set_Oinsert(X40,c_Set_Oinsert(X41,X42,X43),X43),
inference(variable_rename,[status(thm)],[c_0_629]) ).
fof(c_0_1072,plain,
! [X49,X50,X51,X52] :
( c_lessequals(X51,X49,tc_fun(X52,tc_bool))
| ~ c_lessequals(X50,X49,tc_fun(X52,tc_bool))
| ~ c_lessequals(X51,X50,tc_fun(X52,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_630]) ).
fof(c_0_1073,plain,
! [X44,X45,X46,X47,X48] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X48)
| c_HOL_Ominus__class_Ominus(X47,X45,X48) != c_HOL_Ominus__class_Ominus(X46,X44,X48)
| c_lessequals(X45,X47,X48)
| ~ c_lessequals(X44,X46,X48) ),
inference(variable_rename,[status(thm)],[c_0_631]) ).
fof(c_0_1074,plain,
! [X44,X45,X46,X47,X48] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X48)
| c_HOL_Ominus__class_Ominus(X47,X45,X48) != c_HOL_Ominus__class_Ominus(X46,X44,X48)
| c_lessequals(X44,X46,X48)
| ~ c_lessequals(X45,X47,X48) ),
inference(variable_rename,[status(thm)],[c_0_632]) ).
fof(c_0_1075,plain,
! [X41,X42,X43,X44] : c_List_Odrop(X43,c_List_Oreplicate(X42,X41,X44),X44) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X42,X43,tc_nat),X41,X44),
inference(variable_rename,[status(thm)],[c_0_633]) ).
fof(c_0_1076,plain,
! [X42,X43,X44] : c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X44,X43,tc_nat),X42,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X44,X42,tc_nat),X43,tc_nat),
inference(variable_rename,[status(thm)],[c_0_634]) ).
fof(c_0_1077,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__all(X28,X26,X29)
| ~ c_List_Olist__all(X28,c_List_Oappend(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_635]) ).
fof(c_0_1078,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__all(X28,X27,X29)
| ~ c_List_Olist__all(X28,c_List_Oappend(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_636]) ).
fof(c_0_1079,plain,
! [X21,X22,X23,X24] :
( c_List_Olistsp(X23,X21,X24)
| ~ c_List_Olistsp(X23,c_List_Oappend(X22,X21,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_637]) ).
fof(c_0_1080,plain,
! [X21,X22,X23,X24] :
( c_List_Olistsp(X23,X22,X24)
| ~ c_List_Olistsp(X23,c_List_Oappend(X22,X21,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_638]) ).
fof(c_0_1081,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__all(X28,X26,X29)
| ~ c_List_Olist__all(X28,c_List_Olist_OCons(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_639]) ).
fof(c_0_1082,plain,
! [X37,X38,X39,X40] :
( c_lessequals(X39,c_Set_Oinsert(X37,X38,X40),tc_fun(X40,tc_bool))
| ~ c_lessequals(X39,X38,tc_fun(X40,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_640]) ).
fof(c_0_1083,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__all(X28,c_List_Olist_OCons(X27,X26,X29),X29)
| ~ c_List_Olist__all(X28,X26,X29)
| ~ hBOOL(hAPP(X28,X27)) ),
inference(variable_rename,[status(thm)],[c_0_641]) ).
fof(c_0_1084,plain,
! [X33,X34,X35] : c_List_Orotate1(c_List_Olist_OCons(X34,X33,X35),X35) = c_List_Oappend(X33,c_List_Olist_OCons(X34,c_List_Olist_ONil(X35),X35),X35),
inference(variable_rename,[status(thm)],[c_0_642]) ).
fof(c_0_1085,plain,
! [X39,X40] :
( c_Divides_Odiv__class_Omod(X40,X39,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X40,X39,tc_nat),X39,tc_nat)
| ~ c_lessequals(X39,X40,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_643]) ).
fof(c_0_1086,plain,
! [X40,X41,X42,X43] :
( hBOOL(hAPP(c_Set_Oinsert(X40,X42,X43),X41))
| ~ hBOOL(hAPP(X42,X41)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_644])])]) ).
fof(c_0_1087,plain,
! [X16,X17,X18] : c_List_Orotate(X17,X16,X18) = c_List_Orotate(c_Divides_Odiv__class_Omod(X17,c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),tc_nat),X16,X18),
inference(variable_rename,[status(thm)],[c_0_645]) ).
fof(c_0_1088,plain,
! [X26,X27,X28,X29] :
( hBOOL(hAPP(X28,X27))
| ~ c_List_Olist__all(X28,c_List_Olist_OCons(X27,X26,X29),X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_646])])]) ).
fof(c_0_1089,plain,
! [X16,X17] :
( c_List_Orotate1(X16,X17) = c_List_Oappend(c_List_Otl(X16,X17),c_List_Olist_OCons(c_List_Ohd(X16,X17),c_List_Olist_ONil(X17),X17),X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_647]) ).
fof(c_0_1090,plain,
! [X16,X17,X18] : c_List_Oappend(c_List_Otake(X17,X16,X18),c_List_Odrop(X17,X16,X18),X18) = X16,
inference(variable_rename,[status(thm)],[c_0_648]) ).
fof(c_0_1091,plain,
! [X16,X17] : c_Fun_Oinj__on(c_List_Orev(X17),X16,tc_List_Olist(X17),tc_List_Olist(X17)),
inference(variable_rename,[status(thm)],[c_0_649]) ).
fof(c_0_1092,plain,
! [X26,X27,X28,X29] :
( c_List_OdropWhile(X28,c_List_Olist_OCons(X27,X26,X29),X29) = c_List_OdropWhile(X28,X26,X29)
| ~ hBOOL(hAPP(X28,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_650])])]) ).
fof(c_0_1093,plain,
! [X26,X27,X28,X29] :
( c_List_Ofilter(X28,c_List_Oreplicate(X27,X26,X29),X29) = c_List_Oreplicate(X27,X26,X29)
| ~ hBOOL(hAPP(X28,X26)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_651])])]) ).
fof(c_0_1094,plain,
! [X64,X65] : c_List_Olistrelp(X64,c_List_Olist_ONil(X65),c_List_Olist_ONil(X65),X65),
inference(variable_rename,[status(thm)],[c_0_652]) ).
fof(c_0_1095,plain,
! [X21,X22,X23] : hAPP(c_List_Orev(X23),c_List_Oappend(X22,X21,X23)) = c_List_Oappend(hAPP(c_List_Orev(X23),X21),hAPP(c_List_Orev(X23),X22),X23),
inference(variable_rename,[status(thm)],[c_0_653]) ).
fof(c_0_1096,plain,
! [X33,X34,X35] : c_List_Olist_ONil(X35) = c_List_Omap(X33,c_List_Olist_ONil(X34),X34,X35),
inference(variable_rename,[status(thm)],[c_0_654]) ).
fof(c_0_1097,plain,
! [X70,X71,X72] : c_List_Olist__update(c_List_Olist_ONil(X72),X71,X70,X72) = c_List_Olist_ONil(X72),
inference(variable_rename,[status(thm)],[c_0_655]) ).
fof(c_0_1098,plain,
! [X40,X41,X42] : c_List_Olist__update(c_List_Olist_ONil(X42),X41,X40,X42) = c_List_Olist_ONil(X42),
inference(variable_rename,[status(thm)],[c_0_656]) ).
fof(c_0_1099,plain,
! [X41,X42,X43] : c_List_Olist__update(c_List_Olist_ONil(X43),X42,X41,X43) = c_List_Olist_ONil(X43),
inference(variable_rename,[status(thm)],[c_0_657]) ).
fof(c_0_1100,plain,
! [X33,X34,X35] : c_List_Ofiltermap(X33,c_List_Olist_ONil(X34),X34,X35) = c_List_Olist_ONil(X35),
inference(variable_rename,[status(thm)],[c_0_658]) ).
fof(c_0_1101,plain,
! [X33,X34,X35] : c_List_Omap(X33,c_List_Olist_ONil(X34),X34,X35) = c_List_Olist_ONil(X35),
inference(variable_rename,[status(thm)],[c_0_659]) ).
fof(c_0_1102,plain,
! [X16,X17] :
( c_List_Oappend(c_List_Obutlast(X16,X17),c_List_Olist_OCons(c_List_Olast(X16,X17),c_List_Olist_ONil(X17),X17),X17) = X16
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_660]) ).
fof(c_0_1103,plain,
! [X6,X7,X8] :
( c_Event_Oknows(X8,c_List_Olist_OCons(c_Event_Oevent_OGets(X8,X7),X6,tc_Event_Oevent)) = c_Set_Oinsert(X7,c_Event_Oknows(X8,X6),tc_Message_Omsg)
| X8 = c_Message_Oagent_OSpy ),
inference(variable_rename,[status(thm)],[c_0_661]) ).
fof(c_0_1104,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__ex(X28,c_List_Olist_OCons(X27,X26,X29),X29)
| ~ c_List_Olist__ex(X28,X26,X29) ),
inference(variable_rename,[status(thm)],[c_0_662]) ).
fof(c_0_1105,plain,
! [X16,X17,X18] :
( X17 = X16
| ~ c_lessequals(X16,X17,tc_fun(X18,tc_bool))
| ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_663])])]) ).
fof(c_0_1106,plain,
! [X16,X17,X18] :
( X17 = X16
| ~ c_lessequals(X16,X17,tc_fun(X18,tc_bool))
| ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_664])])]) ).
fof(c_0_1107,plain,
! [X26,X27,X28,X29] :
( c_List_Ofilter(X28,c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Ofilter(X28,X26,X29)
| hBOOL(hAPP(X28,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_665])])]) ).
fof(c_0_1108,plain,
! [X26,X27,X28,X29] :
( c_List_Oremove1(X27,c_List_Ofilter(X28,X26,X29),X29) = c_List_Ofilter(X28,X26,X29)
| hBOOL(hAPP(X28,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_666])])]) ).
fof(c_0_1109,plain,
! [X26,X27,X28,X29] :
( c_List_OdropWhile(X28,c_List_Olist_OCons(X27,X26,X29),X29) = c_List_Olist_OCons(X27,X26,X29)
| hBOOL(hAPP(X28,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_667])])]) ).
fof(c_0_1110,plain,
! [X22,X23,X24] : hBOOL(hAPP(c_Set_Oinsert(X22,X23,X24),X22)),
inference(variable_rename,[status(thm)],[c_0_668]) ).
fof(c_0_1111,plain,
! [X35,X36] :
( c_HOL_Ominus__class_Ominus(X35,c_HOL_Ominus__class_Ominus(X35,X36,tc_nat),tc_nat) = X36
| ~ c_lessequals(X36,X35,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_669]) ).
fof(c_0_1112,plain,
! [X33,X34,X35,X36,X37] :
( ~ class_HOL_Oord(X36)
| c_lessequals(hAPP(X35,X33),hAPP(X34,X33),X36)
| ~ c_lessequals(X35,X34,tc_fun(X37,X36)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_670])])]) ).
fof(c_0_1113,plain,
! [X48,X49,X50,X51] :
( ~ class_Orderings_Opreorder(X51)
| c_lessequals(X50,X48,X51)
| ~ c_lessequals(X49,X48,X51)
| ~ c_lessequals(X50,X49,X51) ),
inference(variable_rename,[status(thm)],[c_0_671]) ).
fof(c_0_1114,plain,
! [X48,X49,X50,X51] :
( ~ class_Orderings_Oorder(X51)
| c_lessequals(X48,X50,X51)
| ~ c_lessequals(X48,X49,X51)
| ~ c_lessequals(X49,X50,X51) ),
inference(variable_rename,[status(thm)],[c_0_672]) ).
fof(c_0_1115,plain,
! [X38,X39,X40] :
( ~ class_Divides_Osemiring__div(X40)
| c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X39,X38,X40),X38,X40) = c_Divides_Odiv__class_Omod(X39,X38,X40) ),
inference(variable_rename,[status(thm)],[c_0_673]) ).
fof(c_0_1116,plain,
! [X22,X23,X24] : c_List_Oappend(c_List_Olist_ONil(X24),c_List_Olist_OCons(X23,X22,X24),X24) = c_List_Olist_OCons(X23,X22,X24),
inference(variable_rename,[status(thm)],[c_0_674]) ).
fof(c_0_1117,plain,
! [X22,X23,X24] : c_List_Olist_OCons(X23,X22,X24) = c_List_Oappend(c_List_Olist_ONil(X24),c_List_Olist_OCons(X23,X22,X24),X24),
inference(variable_rename,[status(thm)],[c_0_675]) ).
fof(c_0_1118,plain,
! [X42,X43,X44] :
( c_lessequals(X44,X42,tc_nat)
| ~ c_lessequals(X43,X42,tc_nat)
| ~ c_lessequals(X44,X43,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_676]) ).
fof(c_0_1119,plain,
! [X26,X27,X28] : hAPP(c_List_Orev(X28),c_List_Ofilter(X27,X26,X28)) = c_List_Ofilter(X27,hAPP(c_List_Orev(X28),X26),X28),
inference(variable_rename,[status(thm)],[c_0_677]) ).
fof(c_0_1120,plain,
! [X40,X41,X42,X43,X44] :
( c_List_OdropWhile(X43,X42,X44) != c_List_Olist_OCons(X41,X40,X44)
| ~ hBOOL(hAPP(X43,X41)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_678])])]) ).
fof(c_0_1121,plain,
! [X16,X17,X18] : c_Nat_Osize__class_Osize(c_List_Odrop(X17,X16,X18),tc_List_Olist(X18)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),X17,tc_nat),
inference(variable_rename,[status(thm)],[c_0_679]) ).
fof(c_0_1122,plain,
! [X22,X23,X24] : c_Set_Oinsert(X22,c_Set_Oinsert(X22,X23,X24),X24) = c_Set_Oinsert(X22,X23,X24),
inference(variable_rename,[status(thm)],[c_0_680]) ).
fof(c_0_1123,plain,
! [X21,X22,X23] :
( ~ class_Orderings_Olinorder(X23)
| c_List_Olinorder__class_Osorted(X21,X23)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X22,X21,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_681]) ).
fof(c_0_1124,plain,
! [X21,X22,X23] :
( ~ class_Orderings_Olinorder(X23)
| c_List_Olinorder__class_Osorted(X22,X23)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X22,X21,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_682]) ).
fof(c_0_1125,plain,
! [X22,X23,X24] :
( ~ class_Orderings_Olinorder(X24)
| c_List_Olinorder__class_Osorted(X22,X24)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X23,X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_683]) ).
fof(c_0_1126,plain,
! [X26,X27,X28,X29] :
( c_List_Olist__ex(X28,c_List_Olist_OCons(X27,X26,X29),X29)
| ~ hBOOL(hAPP(X28,X27)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_684])])]) ).
fof(c_0_1127,plain,
! [X21,X22,X23] :
( c_List_Obutlast(c_List_Oappend(X22,X21,X23),X23) = c_List_Oappend(X22,c_List_Obutlast(X21,X23),X23)
| X21 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_685]) ).
fof(c_0_1128,plain,
! [X21,X22,X23] :
( c_List_Otl(c_List_Oappend(X22,X21,X23),X23) = c_List_Oappend(c_List_Otl(X22,X23),X21,X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_686]) ).
fof(c_0_1129,plain,
! [X22,X23,X24] :
( c_List_Obutlast(c_List_Olist_OCons(X23,X22,X24),X24) = c_List_Olist_OCons(X23,c_List_Obutlast(X22,X24),X24)
| X22 = c_List_Olist_ONil(X24) ),
inference(variable_rename,[status(thm)],[c_0_687]) ).
fof(c_0_1130,plain,
! [X16,X17,X18] :
( c_List_Odistinct(X16,X18)
| ~ c_List_Odistinct(c_List_Orotate(X17,X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_688]) ).
fof(c_0_1131,plain,
! [X21,X22,X23] :
( c_List_Odistinct(X21,X23)
| ~ c_List_Odistinct(c_List_Oappend(X22,X21,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_689]) ).
fof(c_0_1132,plain,
! [X21,X22,X23] :
( c_List_Odistinct(X22,X23)
| ~ c_List_Odistinct(c_List_Oappend(X22,X21,X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_690]) ).
fof(c_0_1133,plain,
! [X22,X23,X24] :
( c_List_Odistinct(X22,X24)
| ~ c_List_Odistinct(c_List_Olist_OCons(X23,X22,X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_691]) ).
fof(c_0_1134,plain,
! [X16,X17,X18] :
( c_List_Odrop(X17,X16,X18) = c_List_Olist_ONil(X18)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),X17,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_692]) ).
fof(c_0_1135,plain,
! [X26,X27,X28,X29,X30] :
( c_List_Ofilter(X29,X26,X30) != c_List_Olist_OCons(X28,X27,X30)
| hBOOL(hAPP(X29,X28)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_693])])]) ).
fof(c_0_1136,plain,
! [X26,X27,X28,X29,X30] :
( c_List_Olist_OCons(X28,X27,X30) != c_List_Ofilter(X29,X26,X30)
| hBOOL(hAPP(X29,X28)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_694])])]) ).
fof(c_0_1137,plain,
! [X16,X17,X18] : c_List_Orotate1(c_List_Orotate(X17,X16,X18),X18) = c_List_Orotate(X17,c_List_Orotate1(X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_695]) ).
fof(c_0_1138,plain,
! [X26,X27,X28] : c_List_Oremdups(c_List_Ofilter(X27,X26,X28),X28) = c_List_Ofilter(X27,c_List_Oremdups(X26,X28),X28),
inference(variable_rename,[status(thm)],[c_0_696]) ).
fof(c_0_1139,plain,
! [X22,X23,X24] : c_List_Oset(c_List_Olist_OCons(X23,X22,X24),X24) = c_Set_Oinsert(X23,c_List_Oset(X22,X24),X24),
inference(variable_rename,[status(thm)],[c_0_697]) ).
fof(c_0_1140,plain,
! [X16,X17,X18] : c_List_Odrop(X17,c_List_Otl(X16,X18),X18) = c_List_Otl(c_List_Odrop(X17,X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_698]) ).
fof(c_0_1141,plain,
! [X16,X17,X18] : c_List_Odrop(X17,c_List_Obutlast(X16,X18),X18) = c_List_Obutlast(c_List_Odrop(X17,X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_699]) ).
fof(c_0_1142,plain,
! [X16,X17,X18] : c_List_Otl(c_List_Odrop(X17,X16,X18),X18) = c_List_Odrop(X17,c_List_Otl(X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_700]) ).
fof(c_0_1143,plain,
! [X16,X17,X18] : c_List_Obutlast(c_List_Odrop(X17,X16,X18),X18) = c_List_Odrop(X17,c_List_Obutlast(X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_701]) ).
fof(c_0_1144,plain,
! [X26,X27,X28] :
( c_List_Olist__all(X27,X26,X28)
| ~ c_List_Olist__all(X27,hAPP(c_List_Orev(X28),X26),X28) ),
inference(variable_rename,[status(thm)],[c_0_702]) ).
fof(c_0_1145,plain,
! [X50,X51,X52,X53] :
( hBOOL(hAPP(X51,X50))
| ~ c_lessequals(X52,X51,tc_fun(X53,tc_bool))
| ~ hBOOL(hAPP(X52,X50)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_703])])]) ).
fof(c_0_1146,plain,
! [X50,X51,X52,X53] :
( hBOOL(hAPP(X51,X50))
| ~ hBOOL(hAPP(X52,X50))
| ~ c_lessequals(X52,X51,tc_fun(X53,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_704])])]) ).
fof(c_0_1147,plain,
! [X21,X22,X23] : X22 = c_List_Otake(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),c_List_Oappend(X22,X21,X23),X23),
inference(variable_rename,[status(thm)],[c_0_705]) ).
fof(c_0_1148,plain,
! [X21,X22,X23] : X21 = c_List_Odrop(c_Nat_Osize__class_Osize(X22,tc_List_Olist(X23)),c_List_Oappend(X22,X21,X23),X23),
inference(variable_rename,[status(thm)],[c_0_706]) ).
fof(c_0_1149,plain,
! [X22,X23] : c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23) = hAPP(c_List_Orev(X23),c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23)),
inference(variable_rename,[status(thm)],[c_0_707]) ).
fof(c_0_1150,plain,
! [X22,X23] : hAPP(c_List_Orev(X23),c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23)) = c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23),
inference(variable_rename,[status(thm)],[c_0_708]) ).
fof(c_0_1151,plain,
! [X16,X17,X18] :
( c_List_Otake(X17,X16,X18) = X16
| ~ c_lessequals(c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),X17,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_709]) ).
fof(c_0_1152,plain,
! [X26,X27,X28,X29] :
( c_List_Ofilter(X28,c_List_Oreplicate(X27,X26,X29),X29) = c_List_Olist_ONil(X29)
| hBOOL(hAPP(X28,X26)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_710])])]) ).
fof(c_0_1153,plain,
! [X22,X23,X24] : ~ c_List_Onull(c_List_Olist_OCons(X23,X22,X24),X24),
inference(variable_rename,[status(thm)],[c_0_711]) ).
fof(c_0_1154,plain,
! [X22,X23,X24] :
( c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24) != hAPP(c_List_Orev(X24),X22)
| X22 = c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_712]) ).
fof(c_0_1155,plain,
! [X22,X23,X24] :
( hAPP(c_List_Orev(X24),X22) != c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24)
| X22 = c_List_Olist_OCons(X23,c_List_Olist_ONil(X24),X24) ),
inference(variable_rename,[status(thm)],[c_0_713]) ).
fof(c_0_1156,plain,
! [X38,X39,X40] : c_lessequals(X39,c_Set_Oinsert(X38,X39,X40),tc_fun(X40,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_714]) ).
fof(c_0_1157,plain,
! [X16,X17,X18] :
( c_List_Odrop(X17,X16,X18) != c_List_Olist_ONil(X18)
| c_lessequals(c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),X17,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_715]) ).
fof(c_0_1158,plain,
! [X40,X41,X42] :
( ~ class_Orderings_Oorder(X42)
| X41 = X40
| ~ c_lessequals(X41,X40,X42)
| ~ c_lessequals(X40,X41,X42) ),
inference(variable_rename,[status(thm)],[c_0_716]) ).
fof(c_0_1159,plain,
! [X40,X41,X42] :
( ~ class_Orderings_Oorder(X42)
| X41 = X40
| ~ c_lessequals(X40,X41,X42)
| ~ c_lessequals(X41,X40,X42) ),
inference(variable_rename,[status(thm)],[c_0_717]) ).
fof(c_0_1160,plain,
! [X40,X41,X42] :
( ~ class_Orderings_Oorder(X42)
| X41 = X40
| ~ c_lessequals(X40,X41,X42)
| ~ c_lessequals(X41,X40,X42) ),
inference(variable_rename,[status(thm)],[c_0_718]) ).
fof(c_0_1161,plain,
! [X22,X23,X24] : hAPP(c_List_Orev(X24),c_List_Oreplicate(X23,X22,X24)) = c_List_Oreplicate(X23,X22,X24),
inference(variable_rename,[status(thm)],[c_0_719]) ).
fof(c_0_1162,plain,
! [X16,X17] : c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X16,X17),tc_List_Olist(X17)),c_Nat_Osize__class_Osize(X16,tc_List_Olist(X17)),tc_nat),
inference(variable_rename,[status(thm)],[c_0_720]) ).
fof(c_0_1163,plain,
! [X40,X41,X42,X43] :
( ~ class_OrderedGroup_Oab__group__add(X43)
| c_HOL_Ominus__class_Ominus(X41,X40,X43) != c_HOL_Ominus__class_Ominus(X42,X42,X43)
| X41 = X40 ),
inference(variable_rename,[status(thm)],[c_0_721]) ).
fof(c_0_1164,plain,
! [X44,X45,X46,X47] :
( ~ class_OrderedGroup_Oab__group__add(X47)
| c_HOL_Ominus__class_Ominus(X46,X46,X47) != c_HOL_Ominus__class_Ominus(X45,X44,X47)
| X45 = X44 ),
inference(variable_rename,[status(thm)],[c_0_722]) ).
fof(c_0_1165,plain,
! [X6,X7,X8] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X8,X7),X6,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X6),
inference(variable_rename,[status(thm)],[c_0_723]) ).
fof(c_0_1166,plain,
! [X26,X27,X28] :
( c_List_Olist__all(X27,hAPP(c_List_Orev(X28),X26),X28)
| ~ c_List_Olist__all(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_724]) ).
fof(c_0_1167,plain,
! [X63,X64,X65,X66,X67] :
( c_List_Olist_OCons(X66,X64,X67) != c_List_Olist_OCons(X65,X63,X67)
| X64 = X63 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_725])])]) ).
fof(c_0_1168,plain,
! [X63,X64,X65,X66,X67] :
( c_List_Olist_OCons(X66,X64,X67) != c_List_Olist_OCons(X65,X63,X67)
| X66 = X65 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_726])])]) ).
fof(c_0_1169,plain,
! [X52,X53,X54,X55] :
( c_List_Oappend(X54,X53,X55) != c_List_Oappend(X54,X52,X55)
| X53 = X52 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_727])])]) ).
fof(c_0_1170,plain,
! [X52,X53,X54,X55] :
( c_List_Oappend(X53,X54,X55) != c_List_Oappend(X52,X54,X55)
| X53 = X52 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_728])])]) ).
fof(c_0_1171,plain,
! [X40,X41,X42,X43,X44] :
( c_List_Oreplicate(X43,X41,X44) != c_List_Oreplicate(X42,X40,X44)
| X43 = X42 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_729])])]) ).
fof(c_0_1172,plain,
! [X13,X14,X15,X16,X17,X18] :
( c_Event_Oevent_OSays(X18,X16,X14) != c_Event_Oevent_OSays(X17,X15,X13)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_730]) ).
fof(c_0_1173,plain,
! [X13,X14,X15,X16,X17,X18] :
( c_Event_Oevent_OSays(X18,X16,X14) != c_Event_Oevent_OSays(X17,X15,X13)
| X16 = X15 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_731])])]) ).
fof(c_0_1174,plain,
! [X13,X14,X15,X16,X17,X18] :
( c_Event_Oevent_OSays(X18,X16,X14) != c_Event_Oevent_OSays(X17,X15,X13)
| X14 = X13 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_732])])]) ).
fof(c_0_1175,plain,
! [X73,X74,X75] :
( X74 = X73
| ~ hBOOL(hAPP(hAPP(c_fequal(X75),X74),X73)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_733])])]) ).
fof(c_0_1176,plain,
! [X39,X40] :
( X40 = X39
| ~ c_lessequals(X39,X40,tc_nat)
| ~ c_lessequals(X40,X39,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_734]) ).
fof(c_0_1177,plain,
! [X22,X23,X24] : c_List_Oremove1(X23,c_List_Olist_OCons(X23,X22,X24),X24) = X22,
inference(variable_rename,[status(thm)],[c_0_735]) ).
fof(c_0_1178,plain,
! [X39,X40] : c_lessequals(c_HOL_Ominus__class_Ominus(X40,X39,tc_nat),X40,tc_nat),
inference(variable_rename,[status(thm)],[c_0_736]) ).
fof(c_0_1179,plain,
! [X39,X40] : c_lessequals(c_Divides_Odiv__class_Omod(X40,X39,tc_nat),X40,tc_nat),
inference(variable_rename,[status(thm)],[c_0_737]) ).
fof(c_0_1180,plain,
! [X38,X39,X40] :
( ~ class_Orderings_Olinorder(X40)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X39,X38,X40),X40)
| ~ c_List_Olinorder__class_Osorted(X38,X40) ),
inference(variable_rename,[status(thm)],[c_0_738]) ).
fof(c_0_1181,plain,
! [X26,X27,X28] :
( ~ class_Orderings_Olinorder(X28)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X27,X26,X28),X28)
| ~ c_List_Olinorder__class_Osorted(X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_739]) ).
fof(c_0_1182,plain,
! [X16,X17,X18] :
( ~ class_Orderings_Olinorder(X18)
| c_List_Olinorder__class_Osorted(c_List_Otake(X17,X16,X18),X18)
| ~ c_List_Olinorder__class_Osorted(X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_740]) ).
fof(c_0_1183,plain,
! [X16,X17,X18] :
( ~ class_Orderings_Olinorder(X18)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X17,X16,X18),X18)
| ~ c_List_Olinorder__class_Osorted(X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_741]) ).
fof(c_0_1184,plain,
! [X21,X22] : c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X22),X21,X22),X22) = c_List_Ohd(X21,X22),
inference(variable_rename,[status(thm)],[c_0_742]) ).
fof(c_0_1185,plain,
! [X16,X17] : c_List_Olast(c_List_Oappend(X16,c_List_Olist_ONil(X17),X17),X17) = c_List_Olast(X16,X17),
inference(variable_rename,[status(thm)],[c_0_743]) ).
fof(c_0_1186,plain,
! [X16,X17,X18] : c_Nat_Osize__class_Osize(c_List_Orotate(X17,X16,X18),tc_List_Olist(X18)) = c_Nat_Osize__class_Osize(X16,tc_List_Olist(X18)),
inference(variable_rename,[status(thm)],[c_0_744]) ).
fof(c_0_1187,plain,
! [X16,X17] : c_List_Obutlast(c_List_Oappend(X16,c_List_Olist_ONil(X17),X17),X17) = c_List_Obutlast(X16,X17),
inference(variable_rename,[status(thm)],[c_0_745]) ).
fof(c_0_1188,plain,
! [X21,X22,X23] :
( ~ class_Orderings_Olinorder(X23)
| c_List_Oset(X22,X23) != c_List_Oset(X21,X23)
| ~ c_List_Odistinct(X21,X23)
| ~ c_List_Olinorder__class_Osorted(X21,X23)
| ~ c_List_Odistinct(X22,X23)
| ~ c_List_Olinorder__class_Osorted(X22,X23)
| X22 = X21 ),
inference(variable_rename,[status(thm)],[c_0_746]) ).
fof(c_0_1189,plain,
! [X16,X17,X18] :
( c_List_Odistinct(c_List_Orotate(X17,X16,X18),X18)
| ~ c_List_Odistinct(X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_747]) ).
fof(c_0_1190,plain,
! [X22,X23,X24] :
( c_List_Odistinct(c_List_Oremove1(X23,X22,X24),X24)
| ~ c_List_Odistinct(X22,X24) ),
inference(variable_rename,[status(thm)],[c_0_748]) ).
fof(c_0_1191,plain,
! [X54,X55,X56] :
( c_List_Odistinct(c_List_Osublist(X54,X55,X56),X56)
| ~ c_List_Odistinct(X54,X56) ),
inference(variable_rename,[status(thm)],[c_0_749]) ).
fof(c_0_1192,plain,
! [X26,X27,X28] :
( c_List_Odistinct(c_List_OdropWhile(X27,X26,X28),X28)
| ~ c_List_Odistinct(X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_750]) ).
fof(c_0_1193,plain,
! [X35,X36,X37] :
( c_List_Odistinct(c_List_Otake(X36,X35,X37),X37)
| ~ c_List_Odistinct(X35,X37) ),
inference(variable_rename,[status(thm)],[c_0_751]) ).
fof(c_0_1194,plain,
! [X35,X36,X37] :
( c_List_Odistinct(c_List_Odrop(X36,X35,X37),X37)
| ~ c_List_Odistinct(X35,X37) ),
inference(variable_rename,[status(thm)],[c_0_752]) ).
fof(c_0_1195,plain,
! [X26,X27,X28] :
( c_List_Odistinct(c_List_Ofilter(X27,X26,X28),X28)
| ~ c_List_Odistinct(X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_753]) ).
fof(c_0_1196,plain,
! [X22,X23] :
( ~ class_Orderings_Olinorder(X23)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23),X23) ),
inference(variable_rename,[status(thm)],[c_0_754]) ).
fof(c_0_1197,plain,
! [X21,X22,X23] :
( c_List_Olast(c_List_Oappend(X22,X21,X23),X23) = c_List_Olast(X21,X23)
| X21 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_755]) ).
fof(c_0_1198,plain,
! [X21,X22,X23] :
( c_List_Ohd(c_List_Oappend(X22,X21,X23),X23) = c_List_Ohd(X22,X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_756]) ).
fof(c_0_1199,plain,
! [X22,X23,X24] :
( c_List_Olast(c_List_Olist_OCons(X23,X22,X24),X24) = c_List_Olast(X22,X24)
| X22 = c_List_Olist_ONil(X24) ),
inference(variable_rename,[status(thm)],[c_0_757]) ).
fof(c_0_1200,plain,
! [X22,X23] : c_List_Obutlast(c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23),X23) = c_List_Olist_ONil(X23),
inference(variable_rename,[status(thm)],[c_0_758]) ).
fof(c_0_1201,plain,
! [X16,X17,X18] : c_List_Oset(c_List_Orotate(X17,X16,X18),X18) = c_List_Oset(X16,X18),
inference(variable_rename,[status(thm)],[c_0_759]) ).
fof(c_0_1202,plain,
! [X22,X23] : c_List_Olast(c_List_Olist_OCons(X22,c_List_Olist_ONil(X23),X23),X23) = X22,
inference(variable_rename,[status(thm)],[c_0_760]) ).
fof(c_0_1203,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xmap__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_761]) ).
fof(c_0_1204,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xlist__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_762]) ).
fof(c_0_1205,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xremove1__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_763]) ).
fof(c_0_1206,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xdistinct__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_764]) ).
fof(c_0_1207,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xconcat__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_765]) ).
fof(c_0_1208,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xtake__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_766]) ).
fof(c_0_1209,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__XdropWhile__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_767]) ).
fof(c_0_1210,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xlistset__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_768]) ).
fof(c_0_1211,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xzip__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_769]) ).
fof(c_0_1212,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xfoldl__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_770]) ).
fof(c_0_1213,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xlist__update__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_771]) ).
fof(c_0_1214,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__XtakeWhile__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_772]) ).
fof(c_0_1215,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xlast__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_773]) ).
fof(c_0_1216,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__XremoveAll__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_774]) ).
fof(c_0_1217,plain,
! [X55,X56] :
( hBOOL(hAPP(X56,X55))
| hBOOL(hAPP(X56,v_sko__List__Xlistsum__Xinduct__2(X56)))
| ~ hBOOL(hAPP(X56,c_List_Olist_ONil(t_a))) ),
inference(variable_rename,[status(thm)],[c_0_775]) ).
fof(c_0_1218,plain,
! [X22,X23,X24] : c_Nat_Osize__class_Osize(c_List_Oreplicate(X23,X22,X24),tc_List_Olist(X24)) = X23,
inference(variable_rename,[status(thm)],[c_0_776]) ).
fof(c_0_1219,plain,
! [X22,X23,X24] : c_List_Ohd(c_List_Olist_OCons(X23,X22,X24),X24) = X23,
inference(variable_rename,[status(thm)],[c_0_777]) ).
fof(c_0_1220,plain,
! [X22,X23,X24] : c_List_Otl(c_List_Olist_OCons(X23,X22,X24),X24) = X22,
inference(variable_rename,[status(thm)],[c_0_778]) ).
fof(c_0_1221,plain,
! [X16,X17] :
( c_Nat_Osize__class_Osize(c_List_Oremdups(X16,X17),tc_List_Olist(X17)) != c_Nat_Osize__class_Osize(X16,tc_List_Olist(X17))
| c_List_Oremdups(X16,X17) = X16 ),
inference(variable_rename,[status(thm)],[c_0_779]) ).
fof(c_0_1222,plain,
! [X40,X41,X42] :
( ~ class_Orderings_Olinorder(X42)
| c_lessequals(X40,X41,X42)
| c_lessequals(X41,X40,X42) ),
inference(variable_rename,[status(thm)],[c_0_780]) ).
fof(c_0_1223,plain,
! [X11,X12,X13,X14,X15] : c_Event_Oevent_OSays(X15,X14,X12) != c_Event_Oevent_OGets(X13,X11),
inference(variable_rename,[status(thm)],[c_0_781]) ).
fof(c_0_1224,plain,
! [X11,X12,X13,X14,X15] : c_Event_Oevent_OGets(X13,X11) != c_Event_Oevent_OSays(X15,X14,X12),
inference(variable_rename,[status(thm)],[c_0_782]) ).
fof(c_0_1225,plain,
! [X22,X23] : hBOOL(hAPP(hAPP(c_fequal(X23),X22),X22)),
inference(variable_rename,[status(thm)],[c_0_783]) ).
fof(c_0_1226,plain,
! [X6,X7] : c_lessequals(c_Event_OinitState(X7),c_Event_Oknows(X7,X6),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_784]) ).
fof(c_0_1227,plain,
! [X39,X40] :
( c_lessequals(X39,X40,tc_nat)
| c_lessequals(X40,X39,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_785]) ).
fof(c_0_1228,plain,
! [X21,X22,X23] :
( c_List_Olist_ONil(X23) != c_List_Oappend(X22,X21,X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_786]) ).
fof(c_0_1229,plain,
! [X21,X22,X23] :
( c_List_Olist_ONil(X23) != c_List_Oappend(X22,X21,X23)
| X21 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_787]) ).
fof(c_0_1230,plain,
! [X21,X22,X23] :
( c_List_Oappend(X22,X21,X23) != c_List_Olist_ONil(X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_788]) ).
fof(c_0_1231,plain,
! [X21,X22,X23] :
( c_List_Oappend(X22,X21,X23) != c_List_Olist_ONil(X23)
| X21 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_789]) ).
fof(c_0_1232,plain,
! [X16,X17,X18] :
( c_List_Orotate(X17,X16,X18) != c_List_Olist_ONil(X18)
| X16 = c_List_Olist_ONil(X18) ),
inference(variable_rename,[status(thm)],[c_0_790]) ).
fof(c_0_1233,plain,
! [X16,X17] :
( c_List_Odistinct(X16,X17)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X17),X16),X17) ),
inference(variable_rename,[status(thm)],[c_0_791]) ).
fof(c_0_1234,plain,
! [X26,X27] : ~ c_List_Olist__ex(X26,c_List_Olist_ONil(X27),X27),
inference(variable_rename,[status(thm)],[c_0_792]) ).
fof(c_0_1235,plain,
! [X21,X22,X23] :
( c_List_Oappend(X22,X21,X23) != X22
| X21 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_793]) ).
fof(c_0_1236,plain,
! [X21,X22,X23] :
( X22 != c_List_Oappend(X22,X21,X23)
| X21 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_794]) ).
fof(c_0_1237,plain,
! [X21,X22,X23] :
( c_List_Oappend(X22,X21,X23) != X21
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_795]) ).
fof(c_0_1238,plain,
! [X21,X22,X23] :
( X21 != c_List_Oappend(X22,X21,X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_796]) ).
fof(c_0_1239,plain,
! [X63,X64,X65] : c_List_Olist_OCons(X64,X63,X65) != c_List_Olist_ONil(X65),
inference(variable_rename,[status(thm)],[c_0_797]) ).
fof(c_0_1240,plain,
! [X30,X31,X32] : c_List_Olist_OCons(X31,X30,X32) != c_List_Olist_ONil(X32),
inference(variable_rename,[status(thm)],[c_0_798]) ).
fof(c_0_1241,plain,
! [X63,X64,X65] : c_List_Olist_ONil(X65) != c_List_Olist_OCons(X64,X63,X65),
inference(variable_rename,[status(thm)],[c_0_799]) ).
fof(c_0_1242,plain,
! [X16,X17] :
( c_List_Oremdups(X16,X17) != X16
| c_Nat_Osize__class_Osize(c_List_Oremdups(X16,X17),tc_List_Olist(X17)) = c_Nat_Osize__class_Osize(X16,tc_List_Olist(X17)) ),
inference(variable_rename,[status(thm)],[c_0_800]) ).
fof(c_0_1243,plain,
! [X22,X23,X24] : X22 != c_List_Olist_OCons(X23,X22,X24),
inference(variable_rename,[status(thm)],[c_0_801]) ).
fof(c_0_1244,plain,
! [X61,X62,X63] : c_List_Olist_OCons(X61,X62,X63) != X62,
inference(variable_rename,[status(thm)],[c_0_802]) ).
fof(c_0_1245,plain,
! [X16,X17] : c_Nat_Osize__class_Osize(hAPP(c_List_Orev(X17),X16),tc_List_Olist(X17)) = c_Nat_Osize__class_Osize(X16,tc_List_Olist(X17)),
inference(variable_rename,[status(thm)],[c_0_803]) ).
fof(c_0_1246,plain,
! [X16,X17] :
( c_List_Odistinct(X16,X17)
| ~ c_List_Odistinct(c_List_Orotate1(X16,X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_804]) ).
fof(c_0_1247,plain,
! [X16,X17] : c_lessequals(X16,X16,tc_fun(X17,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_805]) ).
fof(c_0_1248,plain,
! [X22,X23] : c_lessequals(X22,X22,tc_fun(X23,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_806]) ).
fof(c_0_1249,plain,
! [X16,X17] :
( c_List_Odistinct(hAPP(c_List_Orev(X17),X16),X17)
| ~ c_List_Odistinct(X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_807]) ).
fof(c_0_1250,plain,
! [X16,X17] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X17)
| c_List_Olistsum(hAPP(c_List_Orev(X17),X16),X17) = c_List_Olistsum(X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_808]) ).
fof(c_0_1251,plain,
! [X16,X17] :
( c_List_Olast(hAPP(c_List_Orev(X17),X16),X17) = c_List_Ohd(X16,X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_809]) ).
fof(c_0_1252,plain,
! [X16,X17] :
( c_List_Ohd(hAPP(c_List_Orev(X17),X16),X17) = c_List_Olast(X16,X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_810]) ).
fof(c_0_1253,plain,
! [X16] : c_List_Olist_ONil(X16) = c_List_Oappend(c_List_Olist_ONil(X16),c_List_Olist_ONil(X16),X16),
inference(variable_rename,[status(thm)],[c_0_811]) ).
fof(c_0_1254,plain,
! [X16] : c_List_Oappend(c_List_Olist_ONil(X16),c_List_Olist_ONil(X16),X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_812]) ).
fof(c_0_1255,plain,
! [X45,X46] :
( ~ class_Orderings_Olinorder(X46)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X45,X46),X46)
| ~ c_List_Olinorder__class_Osorted(X45,X46) ),
inference(variable_rename,[status(thm)],[c_0_813]) ).
fof(c_0_1256,plain,
! [X16,X17] : c_List_Oset(hAPP(c_List_Orev(X17),X16),X17) = c_List_Oset(X16,X17),
inference(variable_rename,[status(thm)],[c_0_814]) ).
fof(c_0_1257,plain,
! [X16,X17] : c_Nat_Osize__class_Osize(c_List_Orotate1(X16,X17),tc_List_Olist(X17)) = c_Nat_Osize__class_Osize(X16,tc_List_Olist(X17)),
inference(variable_rename,[status(thm)],[c_0_815]) ).
fof(c_0_1258,plain,
! [X21,X22,X23] :
( hAPP(c_List_Orev(X23),X22) != hAPP(c_List_Orev(X23),X21)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_816])])]) ).
fof(c_0_1259,plain,
! [X16,X17] : c_List_Orotate(X16,c_List_Olist_ONil(X17),X17) = c_List_Olist_ONil(X17),
inference(variable_rename,[status(thm)],[c_0_817]) ).
fof(c_0_1260,plain,
! [X22,X23] : c_List_Oremove1(X22,c_List_Olist_ONil(X23),X23) = c_List_Olist_ONil(X23),
inference(variable_rename,[status(thm)],[c_0_818]) ).
fof(c_0_1261,plain,
! [X26,X27] : c_List_Ofilter(X26,c_List_Olist_ONil(X27),X27) = c_List_Olist_ONil(X27),
inference(variable_rename,[status(thm)],[c_0_819]) ).
fof(c_0_1262,plain,
! [X16,X17] : c_List_Osublist(c_List_Olist_ONil(X17),X16,X17) = c_List_Olist_ONil(X17),
inference(variable_rename,[status(thm)],[c_0_820]) ).
fof(c_0_1263,plain,
! [X16,X17] : c_List_Otake(X16,c_List_Olist_ONil(X17),X17) = c_List_Olist_ONil(X17),
inference(variable_rename,[status(thm)],[c_0_821]) ).
fof(c_0_1264,plain,
! [X26,X27] : c_List_OdropWhile(X26,c_List_Olist_ONil(X27),X27) = c_List_Olist_ONil(X27),
inference(variable_rename,[status(thm)],[c_0_822]) ).
fof(c_0_1265,plain,
! [X66,X67] : c_List_Olist__inter(c_List_Olist_ONil(X67),X66,X67) = c_List_Olist_ONil(X67),
inference(variable_rename,[status(thm)],[c_0_823]) ).
fof(c_0_1266,plain,
! [X16,X17] : c_List_Odrop(X16,c_List_Olist_ONil(X17),X17) = c_List_Olist_ONil(X17),
inference(variable_rename,[status(thm)],[c_0_824]) ).
fof(c_0_1267,plain,
! [X16,X17] :
( c_List_Odistinct(c_List_Orotate1(X16,X17),X17)
| ~ c_List_Odistinct(X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_825]) ).
fof(c_0_1268,plain,
! [X22,X23] :
( ~ class_Orderings_Opreorder(X23)
| c_lessequals(X22,X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_826]) ).
fof(c_0_1269,plain,
! [X22,X23] :
( ~ class_Orderings_Oorder(X23)
| c_lessequals(X22,X22,X23) ),
inference(variable_rename,[status(thm)],[c_0_827]) ).
fof(c_0_1270,plain,
! [X16,X17] : c_List_Oappend(X16,c_List_Olist_ONil(X17),X17) = X16,
inference(variable_rename,[status(thm)],[c_0_828]) ).
fof(c_0_1271,plain,
! [X22,X23] : X22 = c_List_Oappend(c_List_Olist_ONil(X23),X22,X23),
inference(variable_rename,[status(thm)],[c_0_829]) ).
fof(c_0_1272,plain,
! [X16,X17] : X16 = c_List_Oappend(X16,c_List_Olist_ONil(X17),X17),
inference(variable_rename,[status(thm)],[c_0_830]) ).
fof(c_0_1273,plain,
! [X21,X22] : c_List_Oappend(c_List_Olist_ONil(X22),X21,X22) = X21,
inference(variable_rename,[status(thm)],[c_0_831]) ).
fof(c_0_1274,plain,
! [X21,X22] : X21 = c_List_Oappend(c_List_Olist_ONil(X22),X21,X22),
inference(variable_rename,[status(thm)],[c_0_832]) ).
fof(c_0_1275,plain,
! [X26,X27] : c_List_Olist__all(X26,c_List_Olist_ONil(X27),X27),
inference(variable_rename,[status(thm)],[c_0_833]) ).
fof(c_0_1276,plain,
! [X16,X17] : c_List_Olistsp(X16,c_List_Olist_ONil(X17),X17),
inference(variable_rename,[status(thm)],[c_0_834]) ).
fof(c_0_1277,plain,
! [X16,X17] : X16 = hAPP(c_List_Orev(X17),hAPP(c_List_Orev(X17),X16)),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1278,plain,
! [X21,X22] : hAPP(c_List_Orev(X22),hAPP(c_List_Orev(X22),X21)) = X21,
inference(variable_rename,[status(thm)],[c_0_836]) ).
fof(c_0_1279,plain,
! [X16,X17] : hAPP(c_List_Orev(X17),hAPP(c_List_Orev(X17),X16)) = X16,
inference(variable_rename,[status(thm)],[c_0_837]) ).
fof(c_0_1280,plain,
! [X16,X17] : c_List_Oset(c_List_Oremdups(X16,X17),X17) = c_List_Oset(X16,X17),
inference(variable_rename,[status(thm)],[c_0_838]) ).
fof(c_0_1281,plain,
! [X16,X17] : c_List_Oset(c_List_Orotate1(X16,X17),X17) = c_List_Oset(X16,X17),
inference(variable_rename,[status(thm)],[c_0_839]) ).
fof(c_0_1282,plain,
! [X22] : c_lessequals(X22,X22,tc_nat),
inference(variable_rename,[status(thm)],[c_0_840]) ).
fof(c_0_1283,plain,
! [X15] : c_lessequals(X15,X15,tc_nat),
inference(variable_rename,[status(thm)],[c_0_841]) ).
fof(c_0_1284,plain,
! [X65,X66,X67,X68] :
( c_Event_Oevent_OGets(X68,X66) != c_Event_Oevent_OGets(X67,X65)
| X68 = X67 ),
inference(variable_rename,[status(thm)],[c_0_842]) ).
fof(c_0_1285,plain,
! [X65,X66,X67,X68] :
( c_Event_Oevent_OGets(X68,X66) != c_Event_Oevent_OGets(X67,X65)
| X66 = X65 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_843])])]) ).
fof(c_0_1286,plain,
! [X16,X17] :
( hAPP(c_List_Orev(X17),X16) != c_List_Olist_ONil(X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_844]) ).
fof(c_0_1287,plain,
! [X16,X17] :
( c_List_Olist_ONil(X17) != hAPP(c_List_Orev(X17),X16)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_845]) ).
fof(c_0_1288,plain,
! [X16,X17] : c_List_Odistinct(c_List_Oremdups(X16,X17),X17),
inference(variable_rename,[status(thm)],[c_0_846]) ).
fof(c_0_1289,plain,
! [X16,X17] :
( c_List_Oremdups(X16,X17) != X16
| c_List_Odistinct(X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_847]) ).
fof(c_0_1290,plain,
! [X16,X17] :
( c_List_Oremdups(X16,X17) = X16
| ~ c_List_Odistinct(X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_848]) ).
fof(c_0_1291,plain,
! [X72,X73] :
( class_HOL_Oord(tc_fun(X72,X73))
| ~ class_HOL_Oord(X73) ),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1292,plain,
! [X72,X73] :
( class_Orderings_Oorder(tc_fun(X72,X73))
| ~ class_Orderings_Oorder(X73) ),
inference(variable_rename,[status(thm)],[c_0_850]) ).
fof(c_0_1293,plain,
! [X72,X73] :
( class_Orderings_Opreorder(tc_fun(X72,X73))
| ~ class_Orderings_Opreorder(X73) ),
inference(variable_rename,[status(thm)],[c_0_851]) ).
fof(c_0_1294,plain,
! [X22,X23] :
( c_List_Olist_ONil(X23) != c_List_Oremdups(X22,X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_852]) ).
fof(c_0_1295,plain,
! [X16,X17] :
( c_List_Orotate1(X16,X17) != c_List_Olist_ONil(X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_853]) ).
fof(c_0_1296,plain,
! [X22,X23] :
( c_List_Oremdups(X22,X23) != c_List_Olist_ONil(X23)
| X22 = c_List_Olist_ONil(X23) ),
inference(variable_rename,[status(thm)],[c_0_854]) ).
fof(c_0_1297,plain,
! [X16] : hAPP(c_List_Orev(X16),c_List_Olist_ONil(X16)) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_855]) ).
fof(c_0_1298,plain,
! [X16] : c_List_Olist_ONil(X16) = hAPP(c_List_Orev(X16),c_List_Olist_ONil(X16)),
inference(variable_rename,[status(thm)],[c_0_856]) ).
fof(c_0_1299,plain,
! [X16,X17] :
( X16 = c_List_Olist_ONil(X17)
| ~ c_List_Onull(X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_857]) ).
fof(c_0_1300,plain,
! [X16] :
( ~ class_Orderings_Olinorder(X16)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X16),X16) ),
inference(variable_rename,[status(thm)],[c_0_858]) ).
fof(c_0_1301,plain,
! [X16] : c_List_Orotate1(c_List_Olist_ONil(X16),X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_859]) ).
fof(c_0_1302,plain,
! [X16] : c_List_Oremdups(c_List_Olist_ONil(X16),X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_860]) ).
fof(c_0_1303,plain,
! [X16] : c_List_Olist_ONil(X16) = c_List_Oremdups(c_List_Olist_ONil(X16),X16),
inference(variable_rename,[status(thm)],[c_0_861]) ).
fof(c_0_1304,plain,
! [X16] : c_List_Obutlast(c_List_Olist_ONil(X16),X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_862]) ).
fof(c_0_1305,plain,
! [X16] : c_List_Otl(c_List_Olist_ONil(X16),X16) = c_List_Olist_ONil(X16),
inference(variable_rename,[status(thm)],[c_0_863]) ).
fof(c_0_1306,plain,
! [X6] : c_Event_Oknows(X6,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X6),
inference(variable_rename,[status(thm)],[c_0_864]) ).
fof(c_0_1307,plain,
! [X16] : c_List_Onull(c_List_Olist_ONil(X16),X16),
inference(variable_rename,[status(thm)],[c_0_865]) ).
fof(c_0_1308,plain,
! [X16] : c_List_Odistinct(c_List_Olist_ONil(X16),X16),
inference(variable_rename,[status(thm)],[c_0_866]) ).
fof(c_0_1309,plain,
! [X62,X63] :
( c_Message_Oagent_OFriend(X63) != c_Message_Oagent_OFriend(X62)
| X63 = X62 ),
inference(variable_rename,[status(thm)],[c_0_867]) ).
fof(c_0_1310,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
c_0_868 ).
fof(c_0_1311,plain,
! [X62] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X62),
inference(variable_rename,[status(thm)],[c_0_869]) ).
fof(c_0_1312,plain,
! [X62] : c_Message_Oagent_OFriend(X62) != c_Message_Oagent_OSpy,
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1313,plain,
! [X56] : c_Message_Oagent_OFriend(X56) != c_Message_Oagent_OServer,
inference(variable_rename,[status(thm)],[c_0_871]) ).
fof(c_0_1314,plain,
! [X56] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X56),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1315,axiom,
class_HOL_Oord(tc_bool),
c_0_873 ).
fof(c_0_1316,axiom,
class_Orderings_Oorder(tc_bool),
c_0_874 ).
fof(c_0_1317,axiom,
class_Orderings_Opreorder(tc_bool),
c_0_875 ).
fof(c_0_1318,axiom,
class_HOL_Oord(tc_nat),
c_0_876 ).
fof(c_0_1319,axiom,
class_Orderings_Oorder(tc_nat),
c_0_877 ).
fof(c_0_1320,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_878 ).
fof(c_0_1321,axiom,
class_Orderings_Opreorder(tc_nat),
c_0_879 ).
fof(c_0_1322,axiom,
class_Divides_Osemiring__div(tc_nat),
c_0_880 ).
fof(c_0_1323,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
c_0_881 ).
fof(c_0_1324,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
c_0_882 ).
fof(c_0_1325,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_883 ).
cnf(c_0_1326,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_884]) ).
cnf(c_0_1327,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_885]) ).
cnf(c_0_1328,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_886]) ).
cnf(c_0_1329,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_887]) ).
cnf(c_0_1330,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b))) ),
inference(split_conjunct,[status(thm)],[c_0_888]) ).
cnf(c_0_1331,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X3,X4,X2,c_Message_Oagent_OSpy,t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_889]) ).
cnf(c_0_1332,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OServer,t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_890]) ).
cnf(c_0_1333,plain,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_891]) ).
cnf(c_0_1334,plain,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_892]) ).
cnf(c_0_1335,plain,
( X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_893]) ).
cnf(c_0_1336,plain,
( X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_894]) ).
cnf(c_0_1337,plain,
( X4 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_895]) ).
cnf(c_0_1338,plain,
( X4 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_896]) ).
cnf(c_0_1339,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_897]) ).
cnf(c_0_1340,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_898]) ).
cnf(c_0_1341,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_899]) ).
cnf(c_0_1342,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_900]) ).
cnf(c_0_1343,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_901]) ).
cnf(c_0_1344,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_902]) ).
cnf(c_0_1345,plain,
( X3 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_903]) ).
cnf(c_0_1346,plain,
( X3 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_904]) ).
cnf(c_0_1347,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_905]) ).
cnf(c_0_1348,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_906]) ).
cnf(c_0_1349,plain,
( X3 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3))
| X3 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_907]) ).
cnf(c_0_1350,plain,
( X3 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3))
| X3 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_908]) ).
cnf(c_0_1351,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_909]) ).
cnf(c_0_1352,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_910]) ).
cnf(c_0_1353,plain,
c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6),
inference(split_conjunct,[status(thm)],[c_0_911]) ).
cnf(c_0_1354,plain,
c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5),
inference(split_conjunct,[status(thm)],[c_0_912]) ).
cnf(c_0_1355,plain,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X1,X5)
| X1 = c_Message_Oagent_OServer
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_913]) ).
cnf(c_0_1356,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| X4 = c_Message_Oagent_OServer
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_914]) ).
cnf(c_0_1357,plain,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X2,X6,X7,X1,X5)
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_915]) ).
cnf(c_0_1358,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5)
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_916]) ).
cnf(c_0_1359,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(hAPP(X2,X3),X4),c_List_Olist_Olist__rec(X1,X2,X4,X6,X5)),
inference(split_conjunct,[status(thm)],[c_0_917]) ).
cnf(c_0_1360,plain,
c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6) = hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)),
inference(split_conjunct,[status(thm)],[c_0_918]) ).
cnf(c_0_1361,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_919]) ).
cnf(c_0_1362,plain,
( c_List_Olist__all2(X1,X2,X5,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(split_conjunct,[status(thm)],[c_0_920]) ).
cnf(c_0_1363,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_921]) ).
cnf(c_0_1364,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_922]) ).
cnf(c_0_1365,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(split_conjunct,[status(thm)],[c_0_923]) ).
cnf(c_0_1366,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_924]) ).
cnf(c_0_1367,plain,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_925]) ).
cnf(c_0_1368,plain,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_926]) ).
cnf(c_0_1369,plain,
( c_List_Olist__all2(X1,X3,X5,X2,X4)
| ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),hAPP(c_List_Orev(X4),X5),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_927]) ).
cnf(c_0_1370,plain,
( c_List_Olist__all2(X1,X3,hAPP(c_List_Orev(X5),X4),X2,X5)
| ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_928]) ).
cnf(c_0_1371,plain,
( c_List_Olist__all2(X1,hAPP(c_List_Orev(X5),X2),X4,X5,X3)
| ~ c_List_Olist__all2(X1,X2,hAPP(c_List_Orev(X3),X4),X5,X3) ),
inference(split_conjunct,[status(thm)],[c_0_929]) ).
cnf(c_0_1372,plain,
( c_List_Olist__all2(X1,hAPP(c_List_Orev(X4),X2),hAPP(c_List_Orev(X5),X3),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_930]) ).
cnf(c_0_1373,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4))
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_931]) ).
cnf(c_0_1374,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| X4 = c_Message_Oagent_OServer
| X4 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_932]) ).
cnf(c_0_1375,plain,
( X1 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4))
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_933]) ).
cnf(c_0_1376,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5)
| X4 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_934]) ).
cnf(c_0_1377,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
inference(split_conjunct,[status(thm)],[c_0_935]) ).
cnf(c_0_1378,plain,
( c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_936]) ).
cnf(c_0_1379,plain,
( c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6)) ),
inference(split_conjunct,[status(thm)],[c_0_937]) ).
cnf(c_0_1380,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(split_conjunct,[status(thm)],[c_0_938]) ).
cnf(c_0_1381,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_939]) ).
cnf(c_0_1382,plain,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_940]) ).
cnf(c_0_1383,plain,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_941]) ).
cnf(c_0_1384,plain,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_942]) ).
cnf(c_0_1385,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_943]) ).
cnf(c_0_1386,plain,
c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6) = c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6),
inference(split_conjunct,[status(thm)],[c_0_944]) ).
cnf(c_0_1387,plain,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_945]) ).
cnf(c_0_1388,plain,
c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5) = c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_946]) ).
cnf(c_0_1389,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
inference(split_conjunct,[status(thm)],[c_0_947]) ).
cnf(c_0_1390,plain,
c_List_Orotate(X1,hAPP(c_List_Orev(X2),X3),X2) = hAPP(c_List_Orev(X2),c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat),tc_nat),X3,X2)),
inference(split_conjunct,[status(thm)],[c_0_948]) ).
cnf(c_0_1391,plain,
c_lessequals(c_List_Oset(c_List_Olist__update(X1,X2,X3,X4),X4),c_Set_Oinsert(X3,c_List_Oset(X1,X4),X4),tc_fun(X4,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_949]) ).
cnf(c_0_1392,plain,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
inference(split_conjunct,[status(thm)],[c_0_950]) ).
cnf(c_0_1393,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
inference(split_conjunct,[status(thm)],[c_0_951]) ).
cnf(c_0_1394,plain,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
inference(split_conjunct,[status(thm)],[c_0_952]) ).
cnf(c_0_1395,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_953]) ).
cnf(c_0_1396,plain,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_954]) ).
cnf(c_0_1397,plain,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_955]) ).
cnf(c_0_1398,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_956]) ).
cnf(c_0_1399,plain,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_957]) ).
cnf(c_0_1400,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_958]) ).
cnf(c_0_1401,plain,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_959]) ).
cnf(c_0_1402,plain,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_960]) ).
cnf(c_0_1403,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_961]) ).
cnf(c_0_1404,plain,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_962]) ).
cnf(c_0_1405,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
inference(split_conjunct,[status(thm)],[c_0_963]) ).
cnf(c_0_1406,plain,
( c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_964]) ).
cnf(c_0_1407,plain,
c_List_Orotate(X1,X2,X3) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),c_List_Otake(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_965]) ).
cnf(c_0_1408,plain,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
inference(split_conjunct,[status(thm)],[c_0_966]) ).
cnf(c_0_1409,plain,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_967]) ).
cnf(c_0_1410,plain,
( c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_List_Odistinct(X1,X2)
| ~ c_Fun_Oinj__on(X3,c_List_Oset(X1,X2),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_968]) ).
cnf(c_0_1411,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_969]) ).
cnf(c_0_1412,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_970]) ).
cnf(c_0_1413,plain,
c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_971]) ).
cnf(c_0_1414,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_972]) ).
cnf(c_0_1415,plain,
c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_973]) ).
cnf(c_0_1416,plain,
c_List_Orotate(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Orotate(X1,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_974]) ).
cnf(c_0_1417,plain,
c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_975]) ).
cnf(c_0_1418,plain,
( c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))) ),
inference(split_conjunct,[status(thm)],[c_0_976]) ).
cnf(c_0_1419,plain,
( c_List_Oappend(X1,X2,X3) = c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
inference(split_conjunct,[status(thm)],[c_0_977]) ).
cnf(c_0_1420,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_978]) ).
cnf(c_0_1421,plain,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2))
| c_List_Omap(X4,X1,X2,X5) != c_List_Omap(X4,X3,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_979]) ).
cnf(c_0_1422,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_980]) ).
cnf(c_0_1423,plain,
( c_Finite__Set_Osetsum(X3,c_List_Oset(X1,X2),X2,X4) = c_List_Olistsum(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_List_Odistinct(X1,X2)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_981]) ).
cnf(c_0_1424,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_982]) ).
cnf(c_0_1425,plain,
hAPP(c_List_Orev(X1),c_List_Omap(X2,X3,X4,X1)) = c_List_Omap(X2,hAPP(c_List_Orev(X4),X3),X4,X1),
inference(split_conjunct,[status(thm)],[c_0_983]) ).
cnf(c_0_1426,plain,
c_List_Odrop(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_984]) ).
cnf(c_0_1427,plain,
c_List_Otake(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Otake(X1,X2,X4),c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_985]) ).
cnf(c_0_1428,plain,
c_List_Olist__update(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_List_Oappend(X1,c_List_Olist_OCons(X5,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_986]) ).
cnf(c_0_1429,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_987]) ).
cnf(c_0_1430,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_988]) ).
cnf(c_0_1431,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(split_conjunct,[status(thm)],[c_0_989]) ).
cnf(c_0_1432,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_990]) ).
cnf(c_0_1433,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
| c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
| c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(split_conjunct,[status(thm)],[c_0_991]) ).
cnf(c_0_1434,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_992]) ).
cnf(c_0_1435,plain,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_993]) ).
cnf(c_0_1436,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_994]) ).
cnf(c_0_1437,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_995]) ).
cnf(c_0_1438,plain,
( X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_996]) ).
cnf(c_0_1439,plain,
( c_lessequals(X1,X2,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_997]) ).
cnf(c_0_1440,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_998]) ).
cnf(c_0_1441,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_999]) ).
cnf(c_0_1442,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1000]) ).
cnf(c_0_1443,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1001]) ).
cnf(c_0_1444,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1002]) ).
cnf(c_0_1445,plain,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1003]) ).
cnf(c_0_1446,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1004]) ).
cnf(c_0_1447,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1005]) ).
cnf(c_0_1448,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1006]) ).
cnf(c_0_1449,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1007]) ).
cnf(c_0_1450,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1008]) ).
cnf(c_0_1451,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1009]) ).
cnf(c_0_1452,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1010]) ).
cnf(c_0_1453,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1011]) ).
cnf(c_0_1454,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1012]) ).
cnf(c_0_1455,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1013]) ).
cnf(c_0_1456,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1014]) ).
cnf(c_0_1457,plain,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3) = c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1015]) ).
cnf(c_0_1458,plain,
c_Nat_Osize__class_Osize(c_List_Omap(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
inference(split_conjunct,[status(thm)],[c_0_1016]) ).
cnf(c_0_1459,plain,
c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),
inference(split_conjunct,[status(thm)],[c_0_1017]) ).
cnf(c_0_1460,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1018]) ).
cnf(c_0_1461,plain,
hAPP(c_List_Orev(X1),c_List_Oappend(hAPP(c_List_Orev(X1),X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)) = c_List_Olist_OCons(X3,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_1019]) ).
cnf(c_0_1462,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1020]) ).
cnf(c_0_1463,plain,
( X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1021]) ).
cnf(c_0_1464,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(split_conjunct,[status(thm)],[c_0_1022]) ).
cnf(c_0_1465,plain,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1023]) ).
cnf(c_0_1466,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1024]) ).
cnf(c_0_1467,plain,
c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5) = c_List_Oreplicate(X2,hAPP(X1,X3),X5),
inference(split_conjunct,[status(thm)],[c_0_1025]) ).
cnf(c_0_1468,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1026]) ).
cnf(c_0_1469,plain,
c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1027]) ).
cnf(c_0_1470,plain,
c_List_Odrop(X1,c_List_Otake(X2,X3,X4),X4) = c_List_Otake(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_List_Odrop(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1028]) ).
cnf(c_0_1471,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1029]) ).
cnf(c_0_1472,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1030]) ).
cnf(c_0_1473,plain,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1031]) ).
cnf(c_0_1474,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1032]) ).
cnf(c_0_1475,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1033]) ).
cnf(c_0_1476,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X3) != c_List_Omap(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1034]) ).
cnf(c_0_1477,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1035]) ).
cnf(c_0_1478,plain,
hAPP(c_List_Orev(X1),c_List_Odrop(X2,X3,X1)) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X1)),X2,tc_nat),hAPP(c_List_Orev(X1),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_1036]) ).
cnf(c_0_1479,plain,
hAPP(c_List_Orev(X1),c_List_Otake(X2,X3,X1)) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X1)),X2,tc_nat),hAPP(c_List_Orev(X1),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_1037]) ).
cnf(c_0_1480,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1038]) ).
cnf(c_0_1481,plain,
( c_List_Olist__update(X1,X3,X4,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1039]) ).
cnf(c_0_1482,plain,
( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
| X1 != c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1040]) ).
cnf(c_0_1483,plain,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1041]) ).
cnf(c_0_1484,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1042]) ).
cnf(c_0_1485,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_1043]) ).
cnf(c_0_1486,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_1044]) ).
cnf(c_0_1487,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1045]) ).
cnf(c_0_1488,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1046]) ).
cnf(c_0_1489,plain,
c_lessequals(c_List_Oset(c_List_Osublist(X1,X2,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1047]) ).
cnf(c_0_1490,plain,
c_lessequals(c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1048]) ).
cnf(c_0_1491,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1049]) ).
cnf(c_0_1492,plain,
c_lessequals(c_List_Oset(c_List_Odrop(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1050]) ).
cnf(c_0_1493,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1051]) ).
cnf(c_0_1494,plain,
c_lessequals(c_List_Oset(c_List_Ofilter(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1052]) ).
cnf(c_0_1495,plain,
c_lessequals(c_List_Oset(c_List_Otake(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1053]) ).
cnf(c_0_1496,plain,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1054]) ).
cnf(c_0_1497,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,X3,X4)
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1055]) ).
cnf(c_0_1498,plain,
hAPP(c_List_Orev(X1),c_List_Olist_OCons(X2,X3,X1)) = c_List_Oappend(hAPP(c_List_Orev(X1),X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1056]) ).
cnf(c_0_1499,plain,
( X1 = X2
| ~ c_lessequals(X3,X1,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1057]) ).
cnf(c_0_1500,plain,
( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1058]) ).
cnf(c_0_1501,plain,
( c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1059]) ).
cnf(c_0_1502,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1060]) ).
cnf(c_0_1503,plain,
( X1 = c_List_Oappend(hAPP(c_List_Orev(X2),X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_OCons(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1061]) ).
cnf(c_0_1504,plain,
( X1 = X2
| c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1062]) ).
cnf(c_0_1505,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1063]) ).
cnf(c_0_1506,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1064]) ).
cnf(c_0_1507,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1065]) ).
cnf(c_0_1508,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1066]) ).
cnf(c_0_1509,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1067]) ).
cnf(c_0_1510,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1068]) ).
cnf(c_0_1511,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1069]) ).
cnf(c_0_1512,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1070]) ).
cnf(c_0_1513,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1071]) ).
cnf(c_0_1514,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1072]) ).
cnf(c_0_1515,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1073]) ).
cnf(c_0_1516,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1074]) ).
cnf(c_0_1517,plain,
c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1075]) ).
cnf(c_0_1518,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1076]) ).
cnf(c_0_1519,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1077]) ).
cnf(c_0_1520,plain,
( c_List_Olist__all(X1,X2,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1078]) ).
cnf(c_0_1521,plain,
( c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1079]) ).
cnf(c_0_1522,plain,
( c_List_Olistsp(X1,X2,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1080]) ).
cnf(c_0_1523,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1081]) ).
cnf(c_0_1524,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1082]) ).
cnf(c_0_1525,plain,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1083]) ).
cnf(c_0_1526,plain,
c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1084]) ).
cnf(c_0_1527,plain,
( c_Divides_Odiv__class_Omod(X2,X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1085]) ).
cnf(c_0_1528,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1086]) ).
cnf(c_0_1529,plain,
c_List_Orotate(X1,X2,X3) = c_List_Orotate(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1087]) ).
cnf(c_0_1530,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1088]) ).
cnf(c_0_1531,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) = c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1089]) ).
cnf(c_0_1532,plain,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_1090]) ).
cnf(c_0_1533,plain,
c_Fun_Oinj__on(c_List_Orev(X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),
inference(split_conjunct,[status(thm)],[c_0_1091]) ).
cnf(c_0_1534,plain,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1092]) ).
cnf(c_0_1535,plain,
( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1093]) ).
cnf(c_0_1536,plain,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1094]) ).
cnf(c_0_1537,plain,
hAPP(c_List_Orev(X1),c_List_Oappend(X2,X3,X1)) = c_List_Oappend(hAPP(c_List_Orev(X1),X3),hAPP(c_List_Orev(X1),X2),X1),
inference(split_conjunct,[status(thm)],[c_0_1095]) ).
cnf(c_0_1538,plain,
c_List_Olist_ONil(X1) = c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1096]) ).
cnf(c_0_1539,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1097]) ).
cnf(c_0_1540,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1098]) ).
cnf(c_0_1541,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1099]) ).
cnf(c_0_1542,plain,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1100]) ).
cnf(c_0_1543,plain,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1101]) ).
cnf(c_0_1544,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_1102]) ).
cnf(c_0_1545,plain,
( X1 = c_Message_Oagent_OSpy
| c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1103]) ).
cnf(c_0_1546,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Olist__ex(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1104]) ).
cnf(c_0_1547,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1105]) ).
cnf(c_0_1548,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1106]) ).
cnf(c_0_1549,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1107]) ).
cnf(c_0_1550,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1108]) ).
cnf(c_0_1551,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1109]) ).
cnf(c_0_1552,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(split_conjunct,[status(thm)],[c_0_1110]) ).
cnf(c_0_1553,plain,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1111]) ).
cnf(c_0_1554,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1112]) ).
cnf(c_0_1555,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1113]) ).
cnf(c_0_1556,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1114]) ).
cnf(c_0_1557,plain,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
| ~ class_Divides_Osemiring__div(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1115]) ).
cnf(c_0_1558,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1116]) ).
cnf(c_0_1559,plain,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1117]) ).
cnf(c_0_1560,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1118]) ).
cnf(c_0_1561,plain,
hAPP(c_List_Orev(X1),c_List_Ofilter(X2,X3,X1)) = c_List_Ofilter(X2,hAPP(c_List_Orev(X1),X3),X1),
inference(split_conjunct,[status(thm)],[c_0_1119]) ).
cnf(c_0_1562,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1120]) ).
cnf(c_0_1563,plain,
c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1121]) ).
cnf(c_0_1564,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1122]) ).
cnf(c_0_1565,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1123]) ).
cnf(c_0_1566,plain,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1567,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1125]) ).
cnf(c_0_1568,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1126]) ).
cnf(c_0_1569,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) = c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1570,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Otl(c_List_Oappend(X1,X3,X2),X2) = c_List_Oappend(c_List_Otl(X1,X2),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1128]) ).
cnf(c_0_1571,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1129]) ).
cnf(c_0_1572,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1130]) ).
cnf(c_0_1573,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1131]) ).
cnf(c_0_1574,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1132]) ).
cnf(c_0_1575,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1133]) ).
cnf(c_0_1576,plain,
( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1134]) ).
cnf(c_0_1577,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1135]) ).
cnf(c_0_1578,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1136]) ).
cnf(c_0_1579,plain,
c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1137]) ).
cnf(c_0_1580,plain,
c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3) = c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1581,plain,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1139]) ).
cnf(c_0_1582,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1140]) ).
cnf(c_0_1583,plain,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1141]) ).
cnf(c_0_1584,plain,
c_List_Otl(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1142]) ).
cnf(c_0_1585,plain,
c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1143]) ).
cnf(c_0_1586,plain,
( c_List_Olist__all(X1,X3,X2)
| ~ c_List_Olist__all(X1,hAPP(c_List_Orev(X2),X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1144]) ).
cnf(c_0_1587,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1145]) ).
cnf(c_0_1588,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1146]) ).
cnf(c_0_1589,plain,
X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1147]) ).
cnf(c_0_1590,plain,
X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_1591,plain,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = hAPP(c_List_Orev(X2),c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_1149]) ).
cnf(c_0_1592,plain,
hAPP(c_List_Orev(X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1150]) ).
cnf(c_0_1593,plain,
( c_List_Otake(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1151]) ).
cnf(c_0_1594,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Olist_ONil(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1152]) ).
cnf(c_0_1595,plain,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1153]) ).
cnf(c_0_1596,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != hAPP(c_List_Orev(X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_1154]) ).
cnf(c_0_1597,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| hAPP(c_List_Orev(X3),X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1155]) ).
cnf(c_0_1598,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1156]) ).
cnf(c_0_1599,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1157]) ).
cnf(c_0_1600,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1158]) ).
cnf(c_0_1601,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1159]) ).
cnf(c_0_1602,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1160]) ).
cnf(c_0_1603,plain,
hAPP(c_List_Orev(X1),c_List_Oreplicate(X2,X3,X1)) = c_List_Oreplicate(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1161]) ).
cnf(c_0_1604,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1162]) ).
cnf(c_0_1605,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1163]) ).
cnf(c_0_1606,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1164]) ).
cnf(c_0_1607,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
inference(split_conjunct,[status(thm)],[c_0_1165]) ).
cnf(c_0_1608,plain,
( c_List_Olist__all(X1,hAPP(c_List_Orev(X3),X2),X3)
| ~ c_List_Olist__all(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1166]) ).
cnf(c_0_1609,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1167]) ).
cnf(c_0_1610,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1168]) ).
cnf(c_0_1611,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1169]) ).
cnf(c_0_1612,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1170]) ).
cnf(c_0_1613,plain,
( X1 = X2
| c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1171]) ).
cnf(c_0_1614,plain,
( X1 = X2
| c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1172]) ).
cnf(c_0_1615,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1173]) ).
cnf(c_0_1616,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1174]) ).
cnf(c_0_1617,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1175]) ).
cnf(c_0_1618,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1176]) ).
cnf(c_0_1619,plain,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_1177]) ).
cnf(c_0_1620,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1178]) ).
cnf(c_0_1621,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1179]) ).
cnf(c_0_1622,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1180]) ).
cnf(c_0_1623,plain,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1181]) ).
cnf(c_0_1624,plain,
( c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1182]) ).
cnf(c_0_1625,plain,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1183]) ).
cnf(c_0_1626,plain,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_1184]) ).
cnf(c_0_1627,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1185]) ).
cnf(c_0_1628,plain,
c_Nat_Osize__class_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
inference(split_conjunct,[status(thm)],[c_0_1186]) ).
cnf(c_0_1629,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1187]) ).
cnf(c_0_1630,plain,
( X1 = X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1188]) ).
cnf(c_0_1631,plain,
( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1189]) ).
cnf(c_0_1632,plain,
( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1190]) ).
cnf(c_0_1633,plain,
( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1191]) ).
cnf(c_0_1634,plain,
( c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1192]) ).
cnf(c_0_1635,plain,
( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1193]) ).
cnf(c_0_1636,plain,
( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1194]) ).
cnf(c_0_1637,plain,
( c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1195]) ).
cnf(c_0_1638,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1196]) ).
cnf(c_0_1639,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1197]) ).
cnf(c_0_1640,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1198]) ).
cnf(c_0_1641,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1199]) ).
cnf(c_0_1642,plain,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1200]) ).
cnf(c_0_1643,plain,
c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1644,plain,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1645,plain,
( hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1203]) ).
cnf(c_0_1646,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1204]) ).
cnf(c_0_1647,plain,
( hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1205]) ).
cnf(c_0_1648,plain,
( hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1206]) ).
cnf(c_0_1649,plain,
( hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1207]) ).
cnf(c_0_1650,plain,
( hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1208]) ).
cnf(c_0_1651,plain,
( hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1209]) ).
cnf(c_0_1652,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1210]) ).
cnf(c_0_1653,plain,
( hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1211]) ).
cnf(c_0_1654,plain,
( hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1212]) ).
cnf(c_0_1655,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1213]) ).
cnf(c_0_1656,plain,
( hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1214]) ).
cnf(c_0_1657,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1215]) ).
cnf(c_0_1658,plain,
( hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1216]) ).
cnf(c_0_1659,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(split_conjunct,[status(thm)],[c_0_1217]) ).
cnf(c_0_1660,plain,
c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
inference(split_conjunct,[status(thm)],[c_0_1218]) ).
cnf(c_0_1661,plain,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
inference(split_conjunct,[status(thm)],[c_0_1219]) ).
cnf(c_0_1662,plain,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(split_conjunct,[status(thm)],[c_0_1220]) ).
cnf(c_0_1663,plain,
( c_List_Oremdups(X1,X2) = X1
| c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1221]) ).
cnf(c_0_1664,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1222]) ).
cnf(c_0_1665,plain,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1223]) ).
cnf(c_0_1666,plain,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1224]) ).
cnf(c_0_1667,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(split_conjunct,[status(thm)],[c_0_1225]) ).
cnf(c_0_1668,plain,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1226]) ).
cnf(c_0_1669,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1227]) ).
cnf(c_0_1670,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1228]) ).
cnf(c_0_1671,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1229]) ).
cnf(c_0_1672,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1230]) ).
cnf(c_0_1673,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1231]) ).
cnf(c_0_1674,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1232]) ).
cnf(c_0_1675,plain,
( c_List_Odistinct(X2,X1)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X1),X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_1233]) ).
cnf(c_0_1676,plain,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1234]) ).
cnf(c_0_1677,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1235]) ).
cnf(c_0_1678,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1236]) ).
cnf(c_0_1679,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1680,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1238]) ).
cnf(c_0_1681,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1239]) ).
cnf(c_0_1682,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1240]) ).
cnf(c_0_1683,plain,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1241]) ).
cnf(c_0_1684,plain,
( c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1242]) ).
cnf(c_0_1685,plain,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(split_conjunct,[status(thm)],[c_0_1243]) ).
cnf(c_0_1686,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1687,plain,
c_Nat_Osize__class_Osize(hAPP(c_List_Orev(X1),X2),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),
inference(split_conjunct,[status(thm)],[c_0_1245]) ).
cnf(c_0_1688,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1246]) ).
cnf(c_0_1689,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1690,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1248]) ).
cnf(c_0_1691,plain,
( c_List_Odistinct(hAPP(c_List_Orev(X2),X1),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1249]) ).
cnf(c_0_1692,plain,
( c_List_Olistsum(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olistsum(X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1250]) ).
cnf(c_0_1693,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(hAPP(c_List_Orev(X2),X1),X2) = c_List_Ohd(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1251]) ).
cnf(c_0_1694,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(hAPP(c_List_Orev(X2),X1),X2) = c_List_Olast(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1252]) ).
cnf(c_0_1695,plain,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1253]) ).
cnf(c_0_1696,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1254]) ).
cnf(c_0_1697,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1255]) ).
cnf(c_0_1698,plain,
c_List_Oset(hAPP(c_List_Orev(X1),X2),X1) = c_List_Oset(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_1256]) ).
cnf(c_0_1699,plain,
c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(split_conjunct,[status(thm)],[c_0_1257]) ).
cnf(c_0_1700,plain,
( X1 = X2
| hAPP(c_List_Orev(X3),X1) != hAPP(c_List_Orev(X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1258]) ).
cnf(c_0_1701,plain,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1259]) ).
cnf(c_0_1702,plain,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1703,plain,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1261]) ).
cnf(c_0_1704,plain,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1705,plain,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1263]) ).
cnf(c_0_1706,plain,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1264]) ).
cnf(c_0_1707,plain,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1265]) ).
cnf(c_0_1708,plain,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(split_conjunct,[status(thm)],[c_0_1266]) ).
cnf(c_0_1709,plain,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1267]) ).
cnf(c_0_1710,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1268]) ).
cnf(c_0_1711,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1269]) ).
cnf(c_0_1712,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1270]) ).
cnf(c_0_1713,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1271]) ).
cnf(c_0_1714,plain,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_1715,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_1273]) ).
cnf(c_0_1716,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1274]) ).
cnf(c_0_1717,plain,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1275]) ).
cnf(c_0_1718,plain,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1276]) ).
cnf(c_0_1719,plain,
X1 = hAPP(c_List_Orev(X2),hAPP(c_List_Orev(X2),X1)),
inference(split_conjunct,[status(thm)],[c_0_1277]) ).
cnf(c_0_1720,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_1278]) ).
cnf(c_0_1721,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_1279]) ).
cnf(c_0_1722,plain,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_1723,plain,
c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_1724,plain,
c_lessequals(X1,X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1282]) ).
cnf(c_0_1725,plain,
c_lessequals(X1,X1,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1283]) ).
cnf(c_0_1726,plain,
( X1 = X2
| c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_1727,plain,
( X1 = X2
| c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_1728,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1286]) ).
cnf(c_0_1729,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != hAPP(c_List_Orev(X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_1287]) ).
cnf(c_0_1730,plain,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1288]) ).
cnf(c_0_1731,plain,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1289]) ).
cnf(c_0_1732,plain,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1733,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_1734,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_1735,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1293]) ).
cnf(c_0_1736,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oremdups(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_1737,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1295]) ).
cnf(c_0_1738,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1296]) ).
cnf(c_0_1739,plain,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_1740,plain,
c_List_Olist_ONil(X1) = hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)),
inference(split_conjunct,[status(thm)],[c_0_1298]) ).
cnf(c_0_1741,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1299]) ).
cnf(c_0_1742,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1300]) ).
cnf(c_0_1743,plain,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1301]) ).
cnf(c_0_1744,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1302]) ).
cnf(c_0_1745,plain,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_1746,plain,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1304]) ).
cnf(c_0_1747,plain,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1305]) ).
cnf(c_0_1748,plain,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
inference(split_conjunct,[status(thm)],[c_0_1306]) ).
cnf(c_0_1749,plain,
c_List_Onull(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1307]) ).
cnf(c_0_1750,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1308]) ).
cnf(c_0_1751,plain,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1309]) ).
cnf(c_0_1752,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
inference(split_conjunct,[status(thm)],[c_0_1310]) ).
cnf(c_0_1753,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
inference(split_conjunct,[status(thm)],[c_0_1311]) ).
cnf(c_0_1754,plain,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
inference(split_conjunct,[status(thm)],[c_0_1312]) ).
cnf(c_0_1755,plain,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
inference(split_conjunct,[status(thm)],[c_0_1313]) ).
cnf(c_0_1756,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
inference(split_conjunct,[status(thm)],[c_0_1314]) ).
cnf(c_0_1757,plain,
class_HOL_Oord(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1315]) ).
cnf(c_0_1758,plain,
class_Orderings_Oorder(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1316]) ).
cnf(c_0_1759,plain,
class_Orderings_Opreorder(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1317]) ).
cnf(c_0_1760,plain,
class_HOL_Oord(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1318]) ).
cnf(c_0_1761,plain,
class_Orderings_Oorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1319]) ).
cnf(c_0_1762,plain,
class_Orderings_Olinorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1320]) ).
cnf(c_0_1763,plain,
class_Orderings_Opreorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1321]) ).
cnf(c_0_1764,plain,
class_Divides_Osemiring__div(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1322]) ).
cnf(c_0_1765,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1323]) ).
cnf(c_0_1766,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(split_conjunct,[status(thm)],[c_0_1324]) ).
cnf(c_0_1767,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(split_conjunct,[status(thm)],[c_0_1325]) ).
cnf(c_0_1768,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
c_0_1326,
[final] ).
cnf(c_0_1769,plain,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
c_0_1327,
[final] ).
cnf(c_0_1770,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a))) ),
c_0_1328,
[final] ).
cnf(c_0_1771,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a))) ),
c_0_1329,
[final] ).
cnf(c_0_1772,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b))) ),
c_0_1330,
[final] ).
cnf(c_0_1773,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X3,X4,X2,c_Message_Oagent_OSpy,t_a))) ),
c_0_1331,
[final] ).
cnf(c_0_1774,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OServer,t_a))) ),
c_0_1332,
[final] ).
cnf(c_0_1775,plain,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
c_0_1333,
[final] ).
cnf(c_0_1776,plain,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
c_0_1334,
[final] ).
cnf(c_0_1777,plain,
( X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_1335,
[final] ).
cnf(c_0_1778,plain,
( X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_1336,
[final] ).
cnf(c_0_1779,plain,
( X4 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4)))) ),
c_0_1337,
[final] ).
cnf(c_0_1780,plain,
( X4 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4)))) ),
c_0_1338,
[final] ).
cnf(c_0_1781,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)))) ),
c_0_1339,
[final] ).
cnf(c_0_1782,plain,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)))) ),
c_0_1340,
[final] ).
cnf(c_0_1783,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
c_0_1341,
[final] ).
cnf(c_0_1784,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
c_0_1342,
[final] ).
cnf(c_0_1785,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
c_0_1343,
[final] ).
cnf(c_0_1786,plain,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
c_0_1344,
[final] ).
cnf(c_0_1787,plain,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
c_0_1345,
[final] ).
cnf(c_0_1788,plain,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
c_0_1346,
[final] ).
cnf(c_0_1789,plain,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_1347,
[final] ).
cnf(c_0_1790,plain,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
c_0_1348,
[final] ).
cnf(c_0_1791,plain,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| X3 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1349,
[final] ).
cnf(c_0_1792,plain,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| X3 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1350,
[final] ).
cnf(c_0_1793,plain,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
c_0_1351,
[final] ).
cnf(c_0_1794,plain,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
c_0_1352,
[final] ).
cnf(c_0_1795,plain,
c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6) = c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6),
c_0_1353,
[final] ).
cnf(c_0_1796,plain,
c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5) = c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5),
c_0_1354,
[final] ).
cnf(c_0_1797,plain,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X1,X5)
| X1 = c_Message_Oagent_OServer
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) ),
c_0_1355,
[final] ).
cnf(c_0_1798,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| X4 = c_Message_Oagent_OServer
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) ),
c_0_1356,
[final] ).
cnf(c_0_1799,plain,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X2,X6,X7,X1,X5)
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) ),
c_0_1357,
[final] ).
cnf(c_0_1800,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5)
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) ),
c_0_1358,
[final] ).
cnf(c_0_1801,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(hAPP(X2,X3),X4),c_List_Olist_Olist__rec(X1,X2,X4,X6,X5)),
c_0_1359,
[final] ).
cnf(c_0_1802,plain,
c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6) = hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)),
c_0_1360,
[final] ).
cnf(c_0_1803,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
c_0_1361,
[final] ).
cnf(c_0_1804,plain,
( c_List_Olist__all2(X1,X2,X5,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
c_0_1362,
[final] ).
cnf(c_0_1805,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_1363,
[final] ).
cnf(c_0_1806,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_1364,
[final] ).
cnf(c_0_1807,plain,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
c_0_1365,
[final] ).
cnf(c_0_1808,plain,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
c_0_1366,
[final] ).
cnf(c_0_1809,plain,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_1367,
[final] ).
cnf(c_0_1810,plain,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_1368,
[final] ).
cnf(c_0_1811,plain,
( c_List_Olist__all2(X1,X3,X5,X2,X4)
| ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),hAPP(c_List_Orev(X4),X5),X2,X4) ),
c_0_1369,
[final] ).
cnf(c_0_1812,plain,
( c_List_Olist__all2(X1,X3,hAPP(c_List_Orev(X5),X4),X2,X5)
| ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),X4,X2,X5) ),
c_0_1370,
[final] ).
cnf(c_0_1813,plain,
( c_List_Olist__all2(X1,hAPP(c_List_Orev(X5),X2),X4,X5,X3)
| ~ c_List_Olist__all2(X1,X2,hAPP(c_List_Orev(X3),X4),X5,X3) ),
c_0_1371,
[final] ).
cnf(c_0_1814,plain,
( c_List_Olist__all2(X1,hAPP(c_List_Orev(X4),X2),hAPP(c_List_Orev(X5),X3),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_1372,
[final] ).
cnf(c_0_1815,plain,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X1,X4) ),
c_0_1373,
[final] ).
cnf(c_0_1816,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| X4 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) = X4 ),
c_0_1374,
[final] ).
cnf(c_0_1817,plain,
( c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X1,X4) ),
c_0_1375,
[final] ).
cnf(c_0_1818,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5)
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) = X4 ),
c_0_1376,
[final] ).
cnf(c_0_1819,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
c_0_1377,
[final] ).
cnf(c_0_1820,plain,
( c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
c_0_1378,
[final] ).
cnf(c_0_1821,plain,
( c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6)) ),
c_0_1379,
[final] ).
cnf(c_0_1822,plain,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
c_0_1380,
[final] ).
cnf(c_0_1823,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
c_0_1381,
[final] ).
cnf(c_0_1824,plain,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
c_0_1382,
[final] ).
cnf(c_0_1825,plain,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
c_0_1383,
[final] ).
cnf(c_0_1826,plain,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
c_0_1384,
[final] ).
cnf(c_0_1827,plain,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
c_0_1385,
[final] ).
cnf(c_0_1828,plain,
c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6) = c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6),
c_0_1386,
[final] ).
cnf(c_0_1829,plain,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
c_0_1387,
[final] ).
cnf(c_0_1830,plain,
c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5),
c_0_1388,
[final] ).
cnf(c_0_1831,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
c_0_1389,
[final] ).
cnf(c_0_1832,plain,
hAPP(c_List_Orev(X2),c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat),tc_nat),X3,X2)) = c_List_Orotate(X1,hAPP(c_List_Orev(X2),X3),X2),
c_0_1390,
[final] ).
cnf(c_0_1833,plain,
c_lessequals(c_List_Oset(c_List_Olist__update(X1,X2,X3,X4),X4),c_Set_Oinsert(X3,c_List_Oset(X1,X4),X4),tc_fun(X4,tc_bool)),
c_0_1391,
[final] ).
cnf(c_0_1834,plain,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
c_0_1392,
[final] ).
cnf(c_0_1835,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
c_0_1393,
[final] ).
cnf(c_0_1836,plain,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
c_0_1394,
[final] ).
cnf(c_0_1837,plain,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1395,
[final] ).
cnf(c_0_1838,plain,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
c_0_1396,
[final] ).
cnf(c_0_1839,plain,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1397,
[final] ).
cnf(c_0_1840,plain,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
c_0_1398,
[final] ).
cnf(c_0_1841,plain,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
c_0_1399,
[final] ).
cnf(c_0_1842,plain,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
c_0_1400,
[final] ).
cnf(c_0_1843,plain,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
c_0_1401,
[final] ).
cnf(c_0_1844,plain,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
c_0_1402,
[final] ).
cnf(c_0_1845,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
c_0_1403,
[final] ).
cnf(c_0_1846,plain,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
c_0_1404,
[final] ).
cnf(c_0_1847,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
c_0_1405,
[final] ).
cnf(c_0_1848,plain,
( c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
c_0_1406,
[final] ).
cnf(c_0_1849,plain,
c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),c_List_Otake(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),X3) = c_List_Orotate(X1,X2,X3),
c_0_1407,
[final] ).
cnf(c_0_1850,plain,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
c_0_1408,
[final] ).
cnf(c_0_1851,plain,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
c_0_1409,
[final] ).
cnf(c_0_1852,plain,
( c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_List_Odistinct(X1,X2)
| ~ c_Fun_Oinj__on(X3,c_List_Oset(X1,X2),X2,X4) ),
c_0_1410,
[final] ).
cnf(c_0_1853,plain,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
c_0_1411,
[final] ).
cnf(c_0_1854,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
c_0_1412,
[final] ).
cnf(c_0_1855,plain,
c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5),
c_0_1413,
[final] ).
cnf(c_0_1856,plain,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
c_0_1414,
[final] ).
cnf(c_0_1857,plain,
c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5),
c_0_1415,
[final] ).
cnf(c_0_1858,plain,
c_List_Orotate(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Orotate(X1,X3,X4),X4,X5),
c_0_1416,
[final] ).
cnf(c_0_1859,plain,
c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5),
c_0_1417,
[final] ).
cnf(c_0_1860,plain,
( c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))) ),
c_0_1418,
[final] ).
cnf(c_0_1861,plain,
( c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
c_0_1419,
[final] ).
cnf(c_0_1862,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
c_0_1420,
[final] ).
cnf(c_0_1863,plain,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2))
| c_List_Omap(X4,X1,X2,X5) != c_List_Omap(X4,X3,X2,X5) ),
c_0_1421,
[final] ).
cnf(c_0_1864,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
c_0_1422,
[final] ).
cnf(c_0_1865,plain,
( c_Finite__Set_Osetsum(X3,c_List_Oset(X1,X2),X2,X4) = c_List_Olistsum(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_List_Odistinct(X1,X2)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
c_0_1423,
[final] ).
cnf(c_0_1866,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
c_0_1424,
[final] ).
cnf(c_0_1867,plain,
hAPP(c_List_Orev(X1),c_List_Omap(X2,X3,X4,X1)) = c_List_Omap(X2,hAPP(c_List_Orev(X4),X3),X4,X1),
c_0_1425,
[final] ).
cnf(c_0_1868,plain,
c_List_Oappend(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4) = c_List_Odrop(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1426,
[final] ).
cnf(c_0_1869,plain,
c_List_Oappend(c_List_Otake(X1,X2,X4),c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4) = c_List_Otake(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1427,
[final] ).
cnf(c_0_1870,plain,
c_List_Olist__update(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_List_Oappend(X1,c_List_Olist_OCons(X5,X3,X4),X4),
c_0_1428,
[final] ).
cnf(c_0_1871,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1429,
[final] ).
cnf(c_0_1872,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
c_0_1430,
[final] ).
cnf(c_0_1873,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
c_0_1431,
[final] ).
cnf(c_0_1874,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1432,
[final] ).
cnf(c_0_1875,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
| c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
| c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
| ~ class_Divides_Oring__div(X3) ),
c_0_1433,
[final] ).
cnf(c_0_1876,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1434,
[final] ).
cnf(c_0_1877,plain,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3),
c_0_1435,
[final] ).
cnf(c_0_1878,plain,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
c_0_1436,
[final] ).
cnf(c_0_1879,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1437,
[final] ).
cnf(c_0_1880,plain,
( X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1438,
[final] ).
cnf(c_0_1881,plain,
( c_lessequals(X1,X2,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_1439,
[final] ).
cnf(c_0_1882,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1440,
[final] ).
cnf(c_0_1883,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1441,
[final] ).
cnf(c_0_1884,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
c_0_1442,
[final] ).
cnf(c_0_1885,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
c_0_1443,
[final] ).
cnf(c_0_1886,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1444,
[final] ).
cnf(c_0_1887,plain,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
c_0_1445,
[final] ).
cnf(c_0_1888,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
c_0_1446,
[final] ).
cnf(c_0_1889,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
c_0_1447,
[final] ).
cnf(c_0_1890,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
c_0_1448,
[final] ).
cnf(c_0_1891,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
c_0_1449,
[final] ).
cnf(c_0_1892,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
c_0_1450,
[final] ).
cnf(c_0_1893,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
c_0_1451,
[final] ).
cnf(c_0_1894,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
c_0_1452,
[final] ).
cnf(c_0_1895,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
c_0_1453,
[final] ).
cnf(c_0_1896,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
c_0_1454,
[final] ).
cnf(c_0_1897,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
c_0_1455,
[final] ).
cnf(c_0_1898,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
c_0_1456,
[final] ).
cnf(c_0_1899,plain,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3) = c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3),
c_0_1457,
[final] ).
cnf(c_0_1900,plain,
c_Nat_Osize__class_Osize(c_List_Omap(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
c_0_1458,
[final] ).
cnf(c_0_1901,plain,
c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),
c_0_1459,
[final] ).
cnf(c_0_1902,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
c_0_1460,
[final] ).
cnf(c_0_1903,plain,
hAPP(c_List_Orev(X1),c_List_Oappend(hAPP(c_List_Orev(X1),X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)) = c_List_Olist_OCons(X3,X2,X1),
c_0_1461,
[final] ).
cnf(c_0_1904,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
c_0_1462,
[final] ).
cnf(c_0_1905,plain,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1463,
[final] ).
cnf(c_0_1906,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
c_0_1464,
[final] ).
cnf(c_0_1907,plain,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
c_0_1465,
[final] ).
cnf(c_0_1908,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1466,
[final] ).
cnf(c_0_1909,plain,
c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5) = c_List_Oreplicate(X2,hAPP(X1,X3),X5),
c_0_1467,
[final] ).
cnf(c_0_1910,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1468,
[final] ).
cnf(c_0_1911,plain,
c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1469,
[final] ).
cnf(c_0_1912,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_List_Odrop(X1,X3,X4),X4) = c_List_Odrop(X1,c_List_Otake(X2,X3,X4),X4),
c_0_1470,
[final] ).
cnf(c_0_1913,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
c_0_1471,
[final] ).
cnf(c_0_1914,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1472,
[final] ).
cnf(c_0_1915,plain,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
c_0_1473,
[final] ).
cnf(c_0_1916,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
c_0_1474,
[final] ).
cnf(c_0_1917,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
c_0_1475,
[final] ).
cnf(c_0_1918,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X4,X1,X2,X3) != c_List_Olist_ONil(X3) ),
c_0_1476,
[final] ).
cnf(c_0_1919,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4) ),
c_0_1477,
[final] ).
cnf(c_0_1920,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X1)),X2,tc_nat),hAPP(c_List_Orev(X1),X3),X1) = hAPP(c_List_Orev(X1),c_List_Odrop(X2,X3,X1)),
c_0_1478,
[final] ).
cnf(c_0_1921,plain,
c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X1)),X2,tc_nat),hAPP(c_List_Orev(X1),X3),X1) = hAPP(c_List_Orev(X1),c_List_Otake(X2,X3,X1)),
c_0_1479,
[final] ).
cnf(c_0_1922,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
c_0_1480,
[final] ).
cnf(c_0_1923,plain,
( c_List_Olist__update(X1,X3,X4,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
c_0_1481,
[final] ).
cnf(c_0_1924,plain,
( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
c_0_1482,
[final] ).
cnf(c_0_1925,plain,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1483,
[final] ).
cnf(c_0_1926,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_1484,
[final] ).
cnf(c_0_1927,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
c_0_1485,
[final] ).
cnf(c_0_1928,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
c_0_1486,
[final] ).
cnf(c_0_1929,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1487,
[final] ).
cnf(c_0_1930,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1488,
[final] ).
cnf(c_0_1931,plain,
c_lessequals(c_List_Oset(c_List_Osublist(X1,X2,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
c_0_1489,
[final] ).
cnf(c_0_1932,plain,
c_lessequals(c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
c_0_1490,
[final] ).
cnf(c_0_1933,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
c_0_1491,
[final] ).
cnf(c_0_1934,plain,
c_lessequals(c_List_Oset(c_List_Odrop(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
c_0_1492,
[final] ).
cnf(c_0_1935,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
c_0_1493,
[final] ).
cnf(c_0_1936,plain,
c_lessequals(c_List_Oset(c_List_Ofilter(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
c_0_1494,
[final] ).
cnf(c_0_1937,plain,
c_lessequals(c_List_Oset(c_List_Otake(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
c_0_1495,
[final] ).
cnf(c_0_1938,plain,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
c_0_1496,
[final] ).
cnf(c_0_1939,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,X3,X4)
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1497,
[final] ).
cnf(c_0_1940,plain,
c_List_Oappend(hAPP(c_List_Orev(X1),X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) = hAPP(c_List_Orev(X1),c_List_Olist_OCons(X2,X3,X1)),
c_0_1498,
[final] ).
cnf(c_0_1941,plain,
( X1 = X2
| ~ c_lessequals(X3,X1,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
c_0_1499,
[final] ).
cnf(c_0_1942,plain,
( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
c_0_1500,
[final] ).
cnf(c_0_1943,plain,
( c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
c_0_1501,
[final] ).
cnf(c_0_1944,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1502,
[final] ).
cnf(c_0_1945,plain,
( X1 = c_List_Oappend(hAPP(c_List_Orev(X2),X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_OCons(X4,X3,X2) ),
c_0_1503,
[final] ).
cnf(c_0_1946,plain,
( X1 = X2
| c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
c_0_1504,
[final] ).
cnf(c_0_1947,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1505,
[final] ).
cnf(c_0_1948,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1506,
[final] ).
cnf(c_0_1949,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1507,
[final] ).
cnf(c_0_1950,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1508,
[final] ).
cnf(c_0_1951,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1509,
[final] ).
cnf(c_0_1952,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1510,
[final] ).
cnf(c_0_1953,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1511,
[final] ).
cnf(c_0_1954,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1512,
[final] ).
cnf(c_0_1955,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
c_0_1513,
[final] ).
cnf(c_0_1956,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1514,
[final] ).
cnf(c_0_1957,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1515,
[final] ).
cnf(c_0_1958,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1516,
[final] ).
cnf(c_0_1959,plain,
c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4),
c_0_1517,
[final] ).
cnf(c_0_1960,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
c_0_1518,
[final] ).
cnf(c_0_1961,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1519,
[final] ).
cnf(c_0_1962,plain,
( c_List_Olist__all(X1,X2,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1520,
[final] ).
cnf(c_0_1963,plain,
( c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1521,
[final] ).
cnf(c_0_1964,plain,
( c_List_Olistsp(X1,X2,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
c_0_1522,
[final] ).
cnf(c_0_1965,plain,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1523,
[final] ).
cnf(c_0_1966,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1524,
[final] ).
cnf(c_0_1967,plain,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,X3,X4) ),
c_0_1525,
[final] ).
cnf(c_0_1968,plain,
c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1526,
[final] ).
cnf(c_0_1969,plain,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1527,
[final] ).
cnf(c_0_1970,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1528,
[final] ).
cnf(c_0_1971,plain,
c_List_Orotate(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3) = c_List_Orotate(X1,X2,X3),
c_0_1529,
[final] ).
cnf(c_0_1972,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
c_0_1530,
[final] ).
cnf(c_0_1973,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Orotate1(X1,X2) ),
c_0_1531,
[final] ).
cnf(c_0_1974,plain,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
c_0_1532,
[final] ).
cnf(c_0_1975,plain,
c_Fun_Oinj__on(c_List_Orev(X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),
c_0_1533,
[final] ).
cnf(c_0_1976,plain,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1534,
[final] ).
cnf(c_0_1977,plain,
( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1535,
[final] ).
cnf(c_0_1978,plain,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
c_0_1536,
[final] ).
cnf(c_0_1979,plain,
c_List_Oappend(hAPP(c_List_Orev(X1),X3),hAPP(c_List_Orev(X1),X2),X1) = hAPP(c_List_Orev(X1),c_List_Oappend(X2,X3,X1)),
c_0_1537,
[final] ).
cnf(c_0_1980,plain,
c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1) = c_List_Olist_ONil(X1),
c_0_1538,
[final] ).
cnf(c_0_1981,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
c_0_1539,
[final] ).
cnf(c_0_1982,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
c_0_1540,
[final] ).
cnf(c_0_1983,plain,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
c_0_1541,
[final] ).
cnf(c_0_1984,plain,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
c_0_1542,
[final] ).
cnf(c_0_1985,plain,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
c_0_1543,
[final] ).
cnf(c_0_1986,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
c_0_1544,
[final] ).
cnf(c_0_1987,plain,
( X1 = c_Message_Oagent_OSpy
| c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
c_0_1545,
[final] ).
cnf(c_0_1988,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Olist__ex(X1,X2,X3) ),
c_0_1546,
[final] ).
cnf(c_0_1989,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_1547,
[final] ).
cnf(c_0_1990,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_1548,
[final] ).
cnf(c_0_1991,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
c_0_1549,
[final] ).
cnf(c_0_1992,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
c_0_1550,
[final] ).
cnf(c_0_1993,plain,
( hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
c_0_1551,
[final] ).
cnf(c_0_1994,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
c_0_1552,
[final] ).
cnf(c_0_1995,plain,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1
| ~ c_lessequals(X1,X2,tc_nat) ),
c_0_1553,
[final] ).
cnf(c_0_1996,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_1554,
[final] ).
cnf(c_0_1997,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1555,
[final] ).
cnf(c_0_1998,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1556,
[final] ).
cnf(c_0_1999,plain,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
| ~ class_Divides_Osemiring__div(X3) ),
c_0_1557,
[final] ).
cnf(c_0_2000,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
c_0_1558,
[final] ).
cnf(c_0_2001,plain,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
c_0_1559,
[final] ).
cnf(c_0_2002,plain,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
c_0_1560,
[final] ).
cnf(c_0_2003,plain,
c_List_Ofilter(X2,hAPP(c_List_Orev(X1),X3),X1) = hAPP(c_List_Orev(X1),c_List_Ofilter(X2,X3,X1)),
c_0_1561,
[final] ).
cnf(c_0_2004,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1562,
[final] ).
cnf(c_0_2005,plain,
c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
c_0_1563,
[final] ).
cnf(c_0_2006,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
c_0_1564,
[final] ).
cnf(c_0_2007,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1565,
[final] ).
cnf(c_0_2008,plain,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1566,
[final] ).
cnf(c_0_2009,plain,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1567,
[final] ).
cnf(c_0_2010,plain,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1568,
[final] ).
cnf(c_0_2011,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
c_0_1569,
[final] ).
cnf(c_0_2012,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2) ),
c_0_1570,
[final] ).
cnf(c_0_2013,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
c_0_1571,
[final] ).
cnf(c_0_2014,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
c_0_1572,
[final] ).
cnf(c_0_2015,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_1573,
[final] ).
cnf(c_0_2016,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_1574,
[final] ).
cnf(c_0_2017,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
c_0_1575,
[final] ).
cnf(c_0_2018,plain,
( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
c_0_1576,
[final] ).
cnf(c_0_2019,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1577,
[final] ).
cnf(c_0_2020,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
c_0_1578,
[final] ).
cnf(c_0_2021,plain,
c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
c_0_1579,
[final] ).
cnf(c_0_2022,plain,
c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3),
c_0_1580,
[final] ).
cnf(c_0_2023,plain,
c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3) = c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1581,
[final] ).
cnf(c_0_2024,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
c_0_1582,
[final] ).
cnf(c_0_2025,plain,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
c_0_1583,
[final] ).
cnf(c_0_2026,plain,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
c_0_1584,
[final] ).
cnf(c_0_2027,plain,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
c_0_1585,
[final] ).
cnf(c_0_2028,plain,
( c_List_Olist__all(X1,X3,X2)
| ~ c_List_Olist__all(X1,hAPP(c_List_Orev(X2),X3),X2) ),
c_0_1586,
[final] ).
cnf(c_0_2029,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
c_0_1587,
[final] ).
cnf(c_0_2030,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
c_0_1588,
[final] ).
cnf(c_0_2031,plain,
c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2) = X1,
c_0_1589,
[final] ).
cnf(c_0_2032,plain,
c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3) = X1,
c_0_1590,
[final] ).
cnf(c_0_2033,plain,
hAPP(c_List_Orev(X2),c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
c_0_1591,
[final] ).
cnf(c_0_2034,plain,
hAPP(c_List_Orev(X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),
c_0_1592,
[final] ).
cnf(c_0_2035,plain,
( c_List_Otake(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
c_0_1593,
[final] ).
cnf(c_0_2036,plain,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Olist_ONil(X4) ),
c_0_1594,
[final] ).
cnf(c_0_2037,plain,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_1595,
[final] ).
cnf(c_0_2038,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != hAPP(c_List_Orev(X3),X1) ),
c_0_1596,
[final] ).
cnf(c_0_2039,plain,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| hAPP(c_List_Orev(X3),X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
c_0_1597,
[final] ).
cnf(c_0_2040,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
c_0_1598,
[final] ).
cnf(c_0_2041,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1599,
[final] ).
cnf(c_0_2042,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1600,
[final] ).
cnf(c_0_2043,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1601,
[final] ).
cnf(c_0_2044,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1602,
[final] ).
cnf(c_0_2045,plain,
hAPP(c_List_Orev(X1),c_List_Oreplicate(X2,X3,X1)) = c_List_Oreplicate(X2,X3,X1),
c_0_1603,
[final] ).
cnf(c_0_2046,plain,
c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),
c_0_1604,
[final] ).
cnf(c_0_2047,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_1605,
[final] ).
cnf(c_0_2048,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
c_0_1606,
[final] ).
cnf(c_0_2049,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
c_0_1607,
[final] ).
cnf(c_0_2050,plain,
( c_List_Olist__all(X1,hAPP(c_List_Orev(X3),X2),X3)
| ~ c_List_Olist__all(X1,X2,X3) ),
c_0_1608,
[final] ).
cnf(c_0_2051,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_1609,
[final] ).
cnf(c_0_2052,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_1610,
[final] ).
cnf(c_0_2053,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
c_0_1611,
[final] ).
cnf(c_0_2054,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
c_0_1612,
[final] ).
cnf(c_0_2055,plain,
( X1 = X2
| c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
c_0_1613,
[final] ).
cnf(c_0_2056,plain,
( X1 = X2
| c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
c_0_1614,
[final] ).
cnf(c_0_2057,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
c_0_1615,
[final] ).
cnf(c_0_2058,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
c_0_1616,
[final] ).
cnf(c_0_2059,plain,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
c_0_1617,
[final] ).
cnf(c_0_2060,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
c_0_1618,
[final] ).
cnf(c_0_2061,plain,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
c_0_1619,
[final] ).
cnf(c_0_2062,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
c_0_1620,
[final] ).
cnf(c_0_2063,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
c_0_1621,
[final] ).
cnf(c_0_2064,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1622,
[final] ).
cnf(c_0_2065,plain,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1623,
[final] ).
cnf(c_0_2066,plain,
( c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1624,
[final] ).
cnf(c_0_2067,plain,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1625,
[final] ).
cnf(c_0_2068,plain,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
c_0_1626,
[final] ).
cnf(c_0_2069,plain,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
c_0_1627,
[final] ).
cnf(c_0_2070,plain,
c_Nat_Osize__class_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
c_0_1628,
[final] ).
cnf(c_0_2071,plain,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
c_0_1629,
[final] ).
cnf(c_0_2072,plain,
( X1 = X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1630,
[final] ).
cnf(c_0_2073,plain,
( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1631,
[final] ).
cnf(c_0_2074,plain,
( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1632,
[final] ).
cnf(c_0_2075,plain,
( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1633,
[final] ).
cnf(c_0_2076,plain,
( c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1634,
[final] ).
cnf(c_0_2077,plain,
( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1635,
[final] ).
cnf(c_0_2078,plain,
( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1636,
[final] ).
cnf(c_0_2079,plain,
( c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1637,
[final] ).
cnf(c_0_2080,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1638,
[final] ).
cnf(c_0_2081,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
c_0_1639,
[final] ).
cnf(c_0_2082,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2) ),
c_0_1640,
[final] ).
cnf(c_0_2083,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
c_0_1641,
[final] ).
cnf(c_0_2084,plain,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
c_0_1642,
[final] ).
cnf(c_0_2085,plain,
c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
c_0_1643,
[final] ).
cnf(c_0_2086,plain,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
c_0_1644,
[final] ).
cnf(c_0_2087,plain,
( hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1645,
[final] ).
cnf(c_0_2088,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1646,
[final] ).
cnf(c_0_2089,plain,
( hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1647,
[final] ).
cnf(c_0_2090,plain,
( hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1648,
[final] ).
cnf(c_0_2091,plain,
( hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1649,
[final] ).
cnf(c_0_2092,plain,
( hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1650,
[final] ).
cnf(c_0_2093,plain,
( hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1651,
[final] ).
cnf(c_0_2094,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1652,
[final] ).
cnf(c_0_2095,plain,
( hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1653,
[final] ).
cnf(c_0_2096,plain,
( hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1654,
[final] ).
cnf(c_0_2097,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1655,
[final] ).
cnf(c_0_2098,plain,
( hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1656,
[final] ).
cnf(c_0_2099,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1657,
[final] ).
cnf(c_0_2100,plain,
( hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1658,
[final] ).
cnf(c_0_2101,plain,
( hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
c_0_1659,
[final] ).
cnf(c_0_2102,plain,
c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
c_0_1660,
[final] ).
cnf(c_0_2103,plain,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
c_0_1661,
[final] ).
cnf(c_0_2104,plain,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
c_0_1662,
[final] ).
cnf(c_0_2105,plain,
( c_List_Oremdups(X1,X2) = X1
| c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) ),
c_0_1663,
[final] ).
cnf(c_0_2106,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_1664,
[final] ).
cnf(c_0_2107,plain,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
c_0_1665,
[final] ).
cnf(c_0_2108,plain,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
c_0_1666,
[final] ).
cnf(c_0_2109,plain,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
c_0_1667,
[final] ).
cnf(c_0_2110,plain,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1668,
[final] ).
cnf(c_0_2111,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
c_0_1669,
[final] ).
cnf(c_0_2112,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1670,
[final] ).
cnf(c_0_2113,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1671,
[final] ).
cnf(c_0_2114,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_1672,
[final] ).
cnf(c_0_2115,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1673,
[final] ).
cnf(c_0_2116,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1674,
[final] ).
cnf(c_0_2117,plain,
( c_List_Odistinct(X2,X1)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X1),X2),X1) ),
c_0_1675,
[final] ).
cnf(c_0_2118,plain,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
c_0_1676,
[final] ).
cnf(c_0_2119,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_1677,
[final] ).
cnf(c_0_2120,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_1678,
[final] ).
cnf(c_0_2121,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_1679,
[final] ).
cnf(c_0_2122,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_1680,
[final] ).
cnf(c_0_2123,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_1681,
[final] ).
cnf(c_0_2124,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_1682,
[final] ).
cnf(c_0_2125,plain,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
c_0_1683,
[final] ).
cnf(c_0_2126,plain,
( c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) != X1 ),
c_0_1684,
[final] ).
cnf(c_0_2127,plain,
c_List_Olist_OCons(X2,X1,X3) != X1,
c_0_1685,
[final] ).
cnf(c_0_2128,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
c_0_1686,
[final] ).
cnf(c_0_2129,plain,
c_Nat_Osize__class_Osize(hAPP(c_List_Orev(X1),X2),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),
c_0_1687,
[final] ).
cnf(c_0_2130,plain,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
c_0_1688,
[final] ).
cnf(c_0_2131,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
c_0_1689,
[final] ).
cnf(c_0_2132,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
c_0_1690,
[final] ).
cnf(c_0_2133,plain,
( c_List_Odistinct(hAPP(c_List_Orev(X2),X1),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1691,
[final] ).
cnf(c_0_2134,plain,
( c_List_Olistsum(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olistsum(X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_1692,
[final] ).
cnf(c_0_2135,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(hAPP(c_List_Orev(X2),X1),X2) = c_List_Ohd(X1,X2) ),
c_0_1693,
[final] ).
cnf(c_0_2136,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(hAPP(c_List_Orev(X2),X1),X2) = c_List_Olast(X1,X2) ),
c_0_1694,
[final] ).
cnf(c_0_2137,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1695,
[final] ).
cnf(c_0_2138,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1696,
[final] ).
cnf(c_0_2139,plain,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_1697,
[final] ).
cnf(c_0_2140,plain,
c_List_Oset(hAPP(c_List_Orev(X1),X2),X1) = c_List_Oset(X2,X1),
c_0_1698,
[final] ).
cnf(c_0_2141,plain,
c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
c_0_1699,
[final] ).
cnf(c_0_2142,plain,
( X1 = X2
| hAPP(c_List_Orev(X3),X1) != hAPP(c_List_Orev(X3),X2) ),
c_0_1700,
[final] ).
cnf(c_0_2143,plain,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1701,
[final] ).
cnf(c_0_2144,plain,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1702,
[final] ).
cnf(c_0_2145,plain,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1703,
[final] ).
cnf(c_0_2146,plain,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
c_0_1704,
[final] ).
cnf(c_0_2147,plain,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1705,
[final] ).
cnf(c_0_2148,plain,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1706,
[final] ).
cnf(c_0_2149,plain,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
c_0_1707,
[final] ).
cnf(c_0_2150,plain,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
c_0_1708,
[final] ).
cnf(c_0_2151,plain,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
c_0_1709,
[final] ).
cnf(c_0_2152,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_1710,
[final] ).
cnf(c_0_2153,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_1711,
[final] ).
cnf(c_0_2154,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_1712,
[final] ).
cnf(c_0_2155,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_1713,
[final] ).
cnf(c_0_2156,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_1714,
[final] ).
cnf(c_0_2157,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
c_0_1715,
[final] ).
cnf(c_0_2158,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_1716,
[final] ).
cnf(c_0_2159,plain,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
c_0_1717,
[final] ).
cnf(c_0_2160,plain,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
c_0_1718,
[final] ).
cnf(c_0_2161,plain,
hAPP(c_List_Orev(X2),hAPP(c_List_Orev(X2),X1)) = X1,
c_0_1719,
[final] ).
cnf(c_0_2162,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
c_0_1720,
[final] ).
cnf(c_0_2163,plain,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
c_0_1721,
[final] ).
cnf(c_0_2164,plain,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
c_0_1722,
[final] ).
cnf(c_0_2165,plain,
c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
c_0_1723,
[final] ).
cnf(c_0_2166,plain,
c_lessequals(X1,X1,tc_nat),
c_0_1724,
[final] ).
cnf(c_0_2167,plain,
c_lessequals(X1,X1,tc_nat),
c_0_1725,
[final] ).
cnf(c_0_2168,plain,
( X1 = X2
| c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
c_0_1726,
[final] ).
cnf(c_0_2169,plain,
( X1 = X2
| c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
c_0_1727,
[final] ).
cnf(c_0_2170,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2) ),
c_0_1728,
[final] ).
cnf(c_0_2171,plain,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2) ),
c_0_1729,
[final] ).
cnf(c_0_2172,plain,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
c_0_1730,
[final] ).
cnf(c_0_2173,plain,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
c_0_1731,
[final] ).
cnf(c_0_2174,plain,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
c_0_1732,
[final] ).
cnf(c_0_2175,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
c_0_1733,
[final] ).
cnf(c_0_2176,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
c_0_1734,
[final] ).
cnf(c_0_2177,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
c_0_1735,
[final] ).
cnf(c_0_2178,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1736,
[final] ).
cnf(c_0_2179,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1737,
[final] ).
cnf(c_0_2180,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_1738,
[final] ).
cnf(c_0_2181,plain,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
c_0_1739,
[final] ).
cnf(c_0_2182,plain,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
c_0_1740,
[final] ).
cnf(c_0_2183,plain,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
c_0_1741,
[final] ).
cnf(c_0_2184,plain,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_1742,
[final] ).
cnf(c_0_2185,plain,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1743,
[final] ).
cnf(c_0_2186,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1744,
[final] ).
cnf(c_0_2187,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1745,
[final] ).
cnf(c_0_2188,plain,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1746,
[final] ).
cnf(c_0_2189,plain,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_1747,
[final] ).
cnf(c_0_2190,plain,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
c_0_1748,
[final] ).
cnf(c_0_2191,plain,
c_List_Onull(c_List_Olist_ONil(X1),X1),
c_0_1749,
[final] ).
cnf(c_0_2192,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
c_0_1750,
[final] ).
cnf(c_0_2193,plain,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
c_0_1751,
[final] ).
cnf(c_0_2194,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
c_0_1752,
[final] ).
cnf(c_0_2195,plain,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
c_0_1753,
[final] ).
cnf(c_0_2196,plain,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
c_0_1754,
[final] ).
cnf(c_0_2197,plain,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
c_0_1755,
[final] ).
cnf(c_0_2198,plain,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
c_0_1756,
[final] ).
cnf(c_0_2199,plain,
class_HOL_Oord(tc_bool),
c_0_1757,
[final] ).
cnf(c_0_2200,plain,
class_Orderings_Oorder(tc_bool),
c_0_1758,
[final] ).
cnf(c_0_2201,plain,
class_Orderings_Opreorder(tc_bool),
c_0_1759,
[final] ).
cnf(c_0_2202,plain,
class_HOL_Oord(tc_nat),
c_0_1760,
[final] ).
cnf(c_0_2203,plain,
class_Orderings_Oorder(tc_nat),
c_0_1761,
[final] ).
cnf(c_0_2204,plain,
class_Orderings_Olinorder(tc_nat),
c_0_1762,
[final] ).
cnf(c_0_2205,plain,
class_Orderings_Opreorder(tc_nat),
c_0_1763,
[final] ).
cnf(c_0_2206,plain,
class_Divides_Osemiring__div(tc_nat),
c_0_1764,
[final] ).
cnf(c_0_2207,plain,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
c_0_1765,
[final] ).
cnf(c_0_2208,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_1766,
[final] ).
cnf(c_0_2209,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_1767,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1768_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_1768]) ).
cnf(c_0_1768_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b)))
| hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1768]) ).
cnf(c_0_1769_0,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_1769]) ).
cnf(c_0_1769_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X5,X2,c_List_Olist_OCons(X3,X4,t_b),t_a,t_b)))
| hBOOL(hAPP(X1,hAPP(hAPP(X2,X3),X4))) ),
inference(literals_permutation,[status(thm)],[c_0_1769]) ).
cnf(c_0_1770_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1770]) ).
cnf(c_0_1770_1,axiom,
( ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a)))
| hBOOL(hAPP(X1,hAPP(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1770]) ).
cnf(c_0_1771_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1771]) ).
cnf(c_0_1771_1,axiom,
( ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X4,X2,X5,c_Message_Oagent_OFriend(X3),t_a)))
| hBOOL(hAPP(X1,hAPP(X2,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1771]) ).
cnf(c_0_1772_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b))) ),
inference(literals_permutation,[status(thm)],[c_0_1772]) ).
cnf(c_0_1772_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_ONil(t_b),t_a,t_b)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1772]) ).
cnf(c_0_1773_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X3,X4,X2,c_Message_Oagent_OSpy,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1773]) ).
cnf(c_0_1773_1,axiom,
( ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X3,X4,X2,c_Message_Oagent_OSpy,t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1773]) ).
cnf(c_0_1774_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OServer,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1774]) ).
cnf(c_0_1774_1,axiom,
( ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OServer,t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1774]) ).
cnf(c_0_1775_0,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1775]) ).
cnf(c_0_1775_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1775]) ).
cnf(c_0_1775_2,axiom,
( ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1775]) ).
cnf(c_0_1775_3,axiom,
( ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1775]) ).
cnf(c_0_1776_0,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_2,axiom,
( ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1776_3,axiom,
( ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1776]) ).
cnf(c_0_1777_0,axiom,
( X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1777_1,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1777_2,axiom,
( ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1777_3,axiom,
( ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1777]) ).
cnf(c_0_1778_0,axiom,
( X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1778_1,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1778_2,axiom,
( ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1778_3,axiom,
( ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1778]) ).
cnf(c_0_1779_0,axiom,
( X4 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1779_1,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| X4 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1779_2,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| X4 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1779_3,axiom,
( ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| X4 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_1779]) ).
cnf(c_0_1780_0,axiom,
( X4 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1780_1,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| X4 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1780_2,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| X4 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1780_3,axiom,
( ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X4))))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X5,X4,t_a)))
| X4 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_1780]) ).
cnf(c_0_1781_0,axiom,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1781_1,axiom,
( X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1781_2,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1781_3,axiom,
( ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1))))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1781]) ).
cnf(c_0_1782_0,axiom,
( X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1782_1,axiom,
( X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1782_2,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)))) ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1782_3,axiom,
( ~ hBOOL(hAPP(X2,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X2,X3,X1))))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1782]) ).
cnf(c_0_1783_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_3,axiom,
( c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1783_4,axiom,
( c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) != c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1783]) ).
cnf(c_0_1784_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_3,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1784_4,axiom,
( c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X7,tc_List_Olist(X5))
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1784]) ).
cnf(c_0_1785_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1785_3,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1785]) ).
cnf(c_0_1786_0,axiom,
( c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1786_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X6,X7,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1786_2,axiom,
( ~ c_List_Olist__all2(X1,X6,X7,X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Oappend(X2,X6,X4),c_List_Oappend(X3,X7,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1786]) ).
cnf(c_0_1787_0,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1787_1,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1787_2,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1787_3,axiom,
( ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1787]) ).
cnf(c_0_1788_0,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1788_1,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| ~ hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1788_2,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| ~ hBOOL(hAPP(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1788_3,axiom,
( ~ hBOOL(hAPP(X1,X5))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1788]) ).
cnf(c_0_1789_0,axiom,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1789_1,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1789_2,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1789_3,axiom,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1789]) ).
cnf(c_0_1790_0,axiom,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1790_1,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1790_2,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1790_3,axiom,
( ~ hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X5,X3,X4,X1,t_a)))
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1790]) ).
cnf(c_0_1791_0,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| X3 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_1,axiom,
( X3 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_2,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| X3 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1791_3,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| X3 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X4,X3)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1791]) ).
cnf(c_0_1792_0,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| X3 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1792_1,axiom,
( X3 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1792_2,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| X3 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1792_3,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X4,X5,X3,t_a)))
| X3 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X4,X3)) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1792]) ).
cnf(c_0_1793_0,axiom,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1793_1,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1793_2,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1793_3,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1793]) ).
cnf(c_0_1794_0,axiom,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1794_1,axiom,
( c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1794_2,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer
| hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1794_3,axiom,
( hBOOL(hAPP(X2,c_Message_Oagent_Oagent__case(X4,X3,X5,X1,t_a)))
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X2,X3,X1)) = X1
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1794]) ).
cnf(c_0_1797_0,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X1,X5)
| X1 = c_Message_Oagent_OServer
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1797_1,axiom,
( c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X1,X5)
| X1 = c_Message_Oagent_OSpy
| X1 = c_Message_Oagent_OServer
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1797_2,axiom,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X1,X5)
| X1 = c_Message_Oagent_OSpy
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1797_3,axiom,
( hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X7,X5))
| X1 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X1,X5)
| X1 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_1797]) ).
cnf(c_0_1798_0,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| X4 = c_Message_Oagent_OServer
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1798_1,axiom,
( X4 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1798_2,axiom,
( hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) != hAPP(X7,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5))
| X4 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1798]) ).
cnf(c_0_1799_0,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X2,X6,X7,X1,X5)
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1799_1,axiom,
( c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X2,X6,X7,X1,X5)
| X1 = c_Message_Oagent_OSpy
| hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1799_2,axiom,
( hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X3,X6,X5))
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X2,X6,X7,X1,X5)
| X1 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_1799]) ).
cnf(c_0_1800_0,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5)
| hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1800]) ).
cnf(c_0_1800_1,axiom,
( hAPP(X2,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) != hAPP(X6,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5))
| c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1800]) ).
cnf(c_0_1803_0,axiom,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1803]) ).
cnf(c_0_1803_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1803]) ).
cnf(c_0_1803_2,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1803]) ).
cnf(c_0_1804_0,axiom,
( c_List_Olist__all2(X1,X2,X5,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1804_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X2,X5,X4,X7)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7)) ),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1804_2,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X7))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X4),c_List_Oappend(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X2,X5,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1804]) ).
cnf(c_0_1805_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1805]) ).
cnf(c_0_1805_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1805]) ).
cnf(c_0_1805_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1805]) ).
cnf(c_0_1806_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1806]) ).
cnf(c_0_1806_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1806]) ).
cnf(c_0_1806_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1806]) ).
cnf(c_0_1807_0,axiom,
( c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1807]) ).
cnf(c_0_1807_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7)
| ~ c_List_Olist__all2(X1,X4,X5,X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1807]) ).
cnf(c_0_1807_2,axiom,
( ~ c_List_Olist__all2(X1,X4,X5,X6,X7)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X7),X6,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1807]) ).
cnf(c_0_1808_0,axiom,
( c_List_Olist__all2(X1,X3,X6,X4,X7)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1808]) ).
cnf(c_0_1808_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
| c_List_Olist__all2(X1,X3,X6,X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1808]) ).
cnf(c_0_1809_0,axiom,
( c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1809]) ).
cnf(c_0_1809_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Odrop(X6,X2,X4),c_List_Odrop(X6,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1809]) ).
cnf(c_0_1810_0,axiom,
( c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1810_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,c_List_Otake(X6,X2,X4),c_List_Otake(X6,X3,X5),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1810]) ).
cnf(c_0_1811_0,axiom,
( c_List_Olist__all2(X1,X3,X5,X2,X4)
| ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),hAPP(c_List_Orev(X4),X5),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1811_1,axiom,
( ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),hAPP(c_List_Orev(X4),X5),X2,X4)
| c_List_Olist__all2(X1,X3,X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1811]) ).
cnf(c_0_1812_0,axiom,
( c_List_Olist__all2(X1,X3,hAPP(c_List_Orev(X5),X4),X2,X5)
| ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),X4,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1812_1,axiom,
( ~ c_List_Olist__all2(X1,hAPP(c_List_Orev(X2),X3),X4,X2,X5)
| c_List_Olist__all2(X1,X3,hAPP(c_List_Orev(X5),X4),X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1812]) ).
cnf(c_0_1813_0,axiom,
( c_List_Olist__all2(X1,hAPP(c_List_Orev(X5),X2),X4,X5,X3)
| ~ c_List_Olist__all2(X1,X2,hAPP(c_List_Orev(X3),X4),X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1813_1,axiom,
( ~ c_List_Olist__all2(X1,X2,hAPP(c_List_Orev(X3),X4),X5,X3)
| c_List_Olist__all2(X1,hAPP(c_List_Orev(X5),X2),X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1813]) ).
cnf(c_0_1814_0,axiom,
( c_List_Olist__all2(X1,hAPP(c_List_Orev(X4),X2),hAPP(c_List_Orev(X5),X3),X4,X5)
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1814_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_List_Olist__all2(X1,hAPP(c_List_Orev(X4),X2),hAPP(c_List_Orev(X5),X3),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1814]) ).
cnf(c_0_1815_0,axiom,
( X1 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1815_1,axiom,
( c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OServer
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1815_2,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1815_3,axiom,
( c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X1,X4)
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_1815]) ).
cnf(c_0_1816_0,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| X4 = c_Message_Oagent_OServer
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1816_1,axiom,
( X4 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5)
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1816_2,axiom,
( c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5)) = X4
| X4 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1816]) ).
cnf(c_0_1817_0,axiom,
( c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1817_1,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1817_2,axiom,
( c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X1,X4)
| X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1817]) ).
cnf(c_0_1818_0,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5)
| c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1818]) ).
cnf(c_0_1818_1,axiom,
( c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) = X4
| c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1818]) ).
cnf(c_0_1820_0,axiom,
( c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1820]) ).
cnf(c_0_1820_1,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X6)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| c_Map_Omap__upds(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5) = c_Map_Omap__upds(X1,X2,X3,X6,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1820]) ).
cnf(c_0_1821_0,axiom,
( c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6)) ),
inference(literals_permutation,[status(thm)],[c_0_1821]) ).
cnf(c_0_1821_1,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) != c_Nat_Osize__class_Osize(X5,tc_List_Olist(X6))
| c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6) = c_Map_Omap__upds(X1,X2,X5,X4,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1821]) ).
cnf(c_0_1822_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X5))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7) ),
inference(literals_permutation,[status(thm)],[c_0_1822]) ).
cnf(c_0_1822_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X7),X4,X7)
| hBOOL(hAPP(hAPP(X1,X2),X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1822]) ).
cnf(c_0_1823_0,axiom,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1823_1,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1823_2,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1823_3,axiom,
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) != X4
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) != X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1823]) ).
cnf(c_0_1824_0,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,X2,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1824_1,axiom,
( ~ c_List_Olist__all2(X1,X2,X3,X4,X5)
| c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5)) ),
inference(literals_permutation,[status(thm)],[c_0_1824]) ).
cnf(c_0_1825_0,axiom,
( X3 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1825_1,axiom,
( ~ c_List_Olist__all2(X1,c_List_Olist_ONil(X2),X3,X2,X4)
| X3 = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1825]) ).
cnf(c_0_1826_0,axiom,
( X2 = c_List_Olist_ONil(X4)
| ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1826_1,axiom,
( ~ c_List_Olist__all2(X1,X2,c_List_Olist_ONil(X3),X4,X3)
| X2 = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1826]) ).
cnf(c_0_1827_0,axiom,
( X2 = X3
| ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1) ),
inference(literals_permutation,[status(thm)],[c_0_1827]) ).
cnf(c_0_1827_1,axiom,
( ~ c_List_Olist__all2(c_fequal(X1),X2,X3,X1,X1)
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1827]) ).
cnf(c_0_1829_0,axiom,
( X1 = X2
| c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1829]) ).
cnf(c_0_1829_1,axiom,
( c_List_Olist__update(c_List_Olist__update(X3,X1,X4,X5),X2,X6,X5) = c_List_Olist__update(c_List_Olist__update(X3,X2,X6,X5),X1,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1829]) ).
cnf(c_0_1848_0,axiom,
( c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1848_1,axiom,
( ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4)
| c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1848]) ).
cnf(c_0_1851_0,axiom,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1851_1,axiom,
( ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6)
| ~ c_List_Olistrelp(X1,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1851_2,axiom,
( ~ c_List_Olistrelp(X1,X4,X5,X6)
| ~ hBOOL(hAPP(hAPP(X1,X2),X3))
| c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X4,X6),c_List_Olist_OCons(X3,X5,X6),X6) ),
inference(literals_permutation,[status(thm)],[c_0_1851]) ).
cnf(c_0_1852_0,axiom,
( c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_List_Odistinct(X1,X2)
| ~ c_Fun_Oinj__on(X3,c_List_Oset(X1,X2),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1852_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_Fun_Oinj__on(X3,c_List_Oset(X1,X2),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1852_2,axiom,
( ~ c_Fun_Oinj__on(X3,c_List_Oset(X1,X2),X2,X4)
| ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1852]) ).
cnf(c_0_1853_0,axiom,
( c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1853_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1853_2,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X4,X2),X2) = c_List_Oappend(X3,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1853]) ).
cnf(c_0_1860_0,axiom,
( c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_1860]) ).
cnf(c_0_1860_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Ohd(c_List_OdropWhile(X1,X2,X3),X3)))
| c_List_OdropWhile(X1,X2,X3) = c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1860]) ).
cnf(c_0_1861_0,axiom,
( c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1861]) ).
cnf(c_0_1861_1,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3)
| c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4 ),
inference(literals_permutation,[status(thm)],[c_0_1861]) ).
cnf(c_0_1861_2,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3) != X4
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),tc_nat)
| c_List_Oappend(X4,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3),X3) = c_List_Oappend(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1861]) ).
cnf(c_0_1863_0,axiom,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2))
| c_List_Omap(X4,X1,X2,X5) != c_List_Omap(X4,X3,X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1863_1,axiom,
( c_List_Omap(X4,X1,X2,X5) != c_List_Omap(X4,X3,X2,X5)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1863]) ).
cnf(c_0_1864_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1864]) ).
cnf(c_0_1864_1,axiom,
( ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1864]) ).
cnf(c_0_1865_0,axiom,
( c_Finite__Set_Osetsum(X3,c_List_Oset(X1,X2),X2,X4) = c_List_Olistsum(c_List_Omap(X3,X1,X2,X4),X4)
| ~ c_List_Odistinct(X1,X2)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1865]) ).
cnf(c_0_1865_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_Finite__Set_Osetsum(X3,c_List_Oset(X1,X2),X2,X4) = c_List_Olistsum(c_List_Omap(X3,X1,X2,X4),X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1865]) ).
cnf(c_0_1865_2,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| ~ c_List_Odistinct(X1,X2)
| c_Finite__Set_Osetsum(X3,c_List_Oset(X1,X2),X2,X4) = c_List_Olistsum(c_List_Omap(X3,X1,X2,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1865]) ).
cnf(c_0_1866_0,axiom,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1866]) ).
cnf(c_0_1866_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_1866]) ).
cnf(c_0_1872_0,axiom,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1872_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1872_2,axiom,
( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1872]) ).
cnf(c_0_1873_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1873_1,axiom,
( ~ class_Divides_Oring__div(X3)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1873]) ).
cnf(c_0_1875_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
| c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
| c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1875_1,axiom,
( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
| c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1875_2,axiom,
( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
| c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1875_3,axiom,
( ~ class_Divides_Oring__div(X3)
| c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
| c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1875]) ).
cnf(c_0_1876_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1876_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1876_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1876]) ).
cnf(c_0_1878_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1878_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1878_2,axiom,
( ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1878_3,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1878]) ).
cnf(c_0_1879_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1879_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1879_2,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1879_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X4,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1879]) ).
cnf(c_0_1880_0,axiom,
( X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1880_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1880_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| X4 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1880]) ).
cnf(c_0_1881_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1881_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1881_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1881]) ).
cnf(c_0_1882_0,axiom,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1882]) ).
cnf(c_0_1882_1,axiom,
( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1882]) ).
cnf(c_0_1883_0,axiom,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1883]) ).
cnf(c_0_1883_1,axiom,
( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1883]) ).
cnf(c_0_1884_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1884]) ).
cnf(c_0_1884_1,axiom,
( ~ class_Divides_Oring__div(X3)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1884]) ).
cnf(c_0_1885_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ class_Divides_Oring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1885]) ).
cnf(c_0_1885_1,axiom,
( ~ class_Divides_Oring__div(X3)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1885]) ).
cnf(c_0_1886_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1886]) ).
cnf(c_0_1886_1,axiom,
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1886]) ).
cnf(c_0_1886_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2) = X5
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1886]) ).
cnf(c_0_1888_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1888_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1888_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlast__Xinduct__1(X1),v_sko__List__Xlast__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1888]) ).
cnf(c_0_1889_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1889]) ).
cnf(c_0_1889_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1889]) ).
cnf(c_0_1889_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistsum__Xinduct__1(X1),v_sko__List__Xlistsum__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1889]) ).
cnf(c_0_1890_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1890]) ).
cnf(c_0_1890_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1890]) ).
cnf(c_0_1890_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xdistinct__Xinduct__1(X1),v_sko__List__Xdistinct__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1890]) ).
cnf(c_0_1891_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1891]) ).
cnf(c_0_1891_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1891]) ).
cnf(c_0_1891_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xremove1__Xinduct__1(X1),v_sko__List__Xremove1__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1891]) ).
cnf(c_0_1892_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1892_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1892_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlistset__Xinduct__1(X1),v_sko__List__Xlistset__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1892]) ).
cnf(c_0_1893_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1893_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1893_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xzip__Xinduct__1(X1),v_sko__List__Xzip__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1893]) ).
cnf(c_0_1894_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1894_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1894_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XdropWhile__Xinduct__1(X1),v_sko__List__XdropWhile__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1894]) ).
cnf(c_0_1895_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1895_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1895_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XtakeWhile__Xinduct__1(X1),v_sko__List__XtakeWhile__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1895]) ).
cnf(c_0_1896_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1896_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1896_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__XremoveAll__Xinduct__1(X1),v_sko__List__XremoveAll__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1896]) ).
cnf(c_0_1897_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1897_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1897_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__update__Xinduct__1(X1),v_sko__List__Xlist__update__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1897]) ).
cnf(c_0_1898_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1898_1,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1898_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_OCons(v_sko__List__Xlist__Xinduct__1(X1),v_sko__List__Xlist__Xinduct__2(X1),t_a)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1898]) ).
cnf(c_0_1902_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1902_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1902_2,axiom,
( ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1902_3,axiom,
( ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1902]) ).
cnf(c_0_1904_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1904]) ).
cnf(c_0_1904_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1904]) ).
cnf(c_0_1904_2,axiom,
( ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1904]) ).
cnf(c_0_1905_0,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1905_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1905_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1905]) ).
cnf(c_0_1913_0,axiom,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1913]) ).
cnf(c_0_1913_1,axiom,
( hBOOL(hAPP(X2,X4))
| X1 = X4
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_1913]) ).
cnf(c_0_1913_2,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| hBOOL(hAPP(X2,X4))
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_1913]) ).
cnf(c_0_1914_0,axiom,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1914]) ).
cnf(c_0_1914_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1914]) ).
cnf(c_0_1917_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1917]) ).
cnf(c_0_1917_1,axiom,
( c_List_Olist__update(X1,X3,X4,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1917]) ).
cnf(c_0_1918_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X4,X1,X2,X3) != c_List_Olist_ONil(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1918]) ).
cnf(c_0_1918_1,axiom,
( c_List_Omap(X4,X1,X2,X3) != c_List_Olist_ONil(X3)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1918]) ).
cnf(c_0_1919_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1919]) ).
cnf(c_0_1919_1,axiom,
( c_List_Omap(X3,X1,X2,X4) != c_List_Olist_ONil(X4)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1919]) ).
cnf(c_0_1922_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1922]) ).
cnf(c_0_1922_1,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1922]) ).
cnf(c_0_1922_2,axiom,
( c_List_Oappend(X1,X4,X2) != c_List_Oappend(X3,X5,X2)
| c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) = X3
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1922]) ).
cnf(c_0_1923_0,axiom,
( c_List_Olist__update(X1,X3,X4,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1923]) ).
cnf(c_0_1923_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Olist__update(X1,X3,X4,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1923]) ).
cnf(c_0_1924_0,axiom,
( c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_1924]) ).
cnf(c_0_1924_1,axiom,
( c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| c_List_Oappend(X1,c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),X2) = X3 ),
inference(literals_permutation,[status(thm)],[c_0_1924]) ).
cnf(c_0_1925_0,axiom,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1925]) ).
cnf(c_0_1925_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Ofilter(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1925]) ).
cnf(c_0_1926_0,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1926]) ).
cnf(c_0_1926_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1926]) ).
cnf(c_0_1929_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1929]) ).
cnf(c_0_1929_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1929]) ).
cnf(c_0_1930_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1930]) ).
cnf(c_0_1930_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1930]) ).
cnf(c_0_1939_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,X3,X4)
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1939]) ).
cnf(c_0_1939_1,axiom,
( c_List_Olist__ex(X1,X3,X4)
| hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1939]) ).
cnf(c_0_1939_2,axiom,
( ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| c_List_Olist__ex(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1939]) ).
cnf(c_0_1941_0,axiom,
( X1 = X2
| ~ c_lessequals(X3,X1,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1941]) ).
cnf(c_0_1941_1,axiom,
( ~ c_lessequals(X3,X1,tc_nat)
| X1 = X2
| ~ c_lessequals(X3,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1941]) ).
cnf(c_0_1941_2,axiom,
( ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat)
| X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1941]) ).
cnf(c_0_1941_3,axiom,
( c_HOL_Ominus__class_Ominus(X1,X3,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X3,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1941]) ).
cnf(c_0_1942_0,axiom,
( c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1942]) ).
cnf(c_0_1942_1,axiom,
( ~ c_List_Olistsp(X1,X2,X3)
| c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olistsp(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1942]) ).
cnf(c_0_1942_2,axiom,
( ~ c_List_Olistsp(X1,X4,X3)
| ~ c_List_Olistsp(X1,X2,X3)
| c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1942]) ).
cnf(c_0_1943_0,axiom,
( c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1943]) ).
cnf(c_0_1943_1,axiom,
( ~ c_List_Olist__all(X1,X2,X3)
| c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3)
| ~ c_List_Olist__all(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1943]) ).
cnf(c_0_1943_2,axiom,
( ~ c_List_Olist__all(X1,X4,X3)
| ~ c_List_Olist__all(X1,X2,X3)
| c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1943]) ).
cnf(c_0_1945_0,axiom,
( X1 = c_List_Oappend(hAPP(c_List_Orev(X2),X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_OCons(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1945]) ).
cnf(c_0_1945_1,axiom,
( hAPP(c_List_Orev(X2),X1) != c_List_Olist_OCons(X4,X3,X2)
| X1 = c_List_Oappend(hAPP(c_List_Orev(X2),X3),c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_1945]) ).
cnf(c_0_1946_0,axiom,
( X1 = X2
| c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1946]) ).
cnf(c_0_1946_1,axiom,
( c_List_Oremove1(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Oremove1(X1,X3,X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1946]) ).
cnf(c_0_1956_0,axiom,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1956_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1956_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1956]) ).
cnf(c_0_1957_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1957_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1957_2,axiom,
( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1957_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1957]) ).
cnf(c_0_1958_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1958_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1958_2,axiom,
( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1958_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1958]) ).
cnf(c_0_1961_0,axiom,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1961]) ).
cnf(c_0_1961_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1961]) ).
cnf(c_0_1962_0,axiom,
( c_List_Olist__all(X1,X2,X4)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1962]) ).
cnf(c_0_1962_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olist__all(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1962]) ).
cnf(c_0_1963_0,axiom,
( c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1963]) ).
cnf(c_0_1963_1,axiom,
( ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olistsp(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1963]) ).
cnf(c_0_1964_0,axiom,
( c_List_Olistsp(X1,X2,X4)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1964]) ).
cnf(c_0_1964_1,axiom,
( ~ c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
| c_List_Olistsp(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1964]) ).
cnf(c_0_1965_0,axiom,
( c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1965]) ).
cnf(c_0_1965_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1965]) ).
cnf(c_0_1966_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1966]) ).
cnf(c_0_1966_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1966]) ).
cnf(c_0_1967_0,axiom,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1967]) ).
cnf(c_0_1967_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olist__all(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1967]) ).
cnf(c_0_1967_2,axiom,
( ~ c_List_Olist__all(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2))
| c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1967]) ).
cnf(c_0_1969_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1969]) ).
cnf(c_0_1969_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1969]) ).
cnf(c_0_1970_0,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1970]) ).
cnf(c_0_1970_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1970]) ).
cnf(c_0_1972_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1972]) ).
cnf(c_0_1972_1,axiom,
( ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1972]) ).
cnf(c_0_1973_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Orotate1(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_1973]) ).
cnf(c_0_1973_1,axiom,
( c_List_Oappend(c_List_Otl(X1,X2),c_List_Olist_OCons(c_List_Ohd(X1,X2),c_List_Olist_ONil(X2),X2),X2) = c_List_Orotate1(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1973]) ).
cnf(c_0_1976_0,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1976]) ).
cnf(c_0_1976_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1976]) ).
cnf(c_0_1977_0,axiom,
( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1977]) ).
cnf(c_0_1977_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Oreplicate(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1977]) ).
cnf(c_0_1986_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1986]) ).
cnf(c_0_1986_1,axiom,
( c_List_Oappend(c_List_Obutlast(X1,X2),c_List_Olist_OCons(c_List_Olast(X1,X2),c_List_Olist_ONil(X2),X2),X2) = X1
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_1986]) ).
cnf(c_0_1987_0,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_1987]) ).
cnf(c_0_1987_1,axiom,
( c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| X1 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_1987]) ).
cnf(c_0_1988_0,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3)
| ~ c_List_Olist__ex(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1988]) ).
cnf(c_0_1988_1,axiom,
( ~ c_List_Olist__ex(X1,X2,X3)
| c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_1988]) ).
cnf(c_0_1989_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1989]) ).
cnf(c_0_1989_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1989]) ).
cnf(c_0_1989_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1989]) ).
cnf(c_0_1990_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1990]) ).
cnf(c_0_1990_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_1990]) ).
cnf(c_0_1990_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_1990]) ).
cnf(c_0_1991_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1991]) ).
cnf(c_0_1991_1,axiom,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1991]) ).
cnf(c_0_1992_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1992]) ).
cnf(c_0_1992_1,axiom,
( c_List_Oremove1(X2,c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1992]) ).
cnf(c_0_1993_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_1993]) ).
cnf(c_0_1993_1,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_1993]) ).
cnf(c_0_1995_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_1995]) ).
cnf(c_0_1995_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_1995]) ).
cnf(c_0_1996_0,axiom,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1996]) ).
cnf(c_0_1996_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_1996]) ).
cnf(c_0_1996_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_1996]) ).
cnf(c_0_1997_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1997_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1997_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1997_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1997]) ).
cnf(c_0_1998_0,axiom,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1998]) ).
cnf(c_0_1998_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1998]) ).
cnf(c_0_1998_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1998]) ).
cnf(c_0_1998_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1998]) ).
cnf(c_0_1999_0,axiom,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
| ~ class_Divides_Osemiring__div(X3) ),
inference(literals_permutation,[status(thm)],[c_0_1999]) ).
cnf(c_0_1999_1,axiom,
( ~ class_Divides_Osemiring__div(X3)
| c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_1999]) ).
cnf(c_0_2002_0,axiom,
( c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2002]) ).
cnf(c_0_2002_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2002]) ).
cnf(c_0_2002_2,axiom,
( ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2002]) ).
cnf(c_0_2004_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2004]) ).
cnf(c_0_2004_1,axiom,
( c_List_OdropWhile(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2004]) ).
cnf(c_0_2007_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2007]) ).
cnf(c_0_2007_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2007]) ).
cnf(c_0_2007_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2007]) ).
cnf(c_0_2008_0,axiom,
( c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2008]) ).
cnf(c_0_2008_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2008]) ).
cnf(c_0_2008_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2008]) ).
cnf(c_0_2009_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2009]) ).
cnf(c_0_2009_1,axiom,
( ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2009]) ).
cnf(c_0_2009_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Olinorder__class_Osorted(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2009]) ).
cnf(c_0_2010_0,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2010]) ).
cnf(c_0_2010_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2010]) ).
cnf(c_0_2011_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2011]) ).
cnf(c_0_2011_1,axiom,
( c_List_Oappend(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X3,X1,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2011]) ).
cnf(c_0_2012_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2012]) ).
cnf(c_0_2012_1,axiom,
( c_List_Oappend(c_List_Otl(X1,X2),X3,X2) = c_List_Otl(c_List_Oappend(X1,X3,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2012]) ).
cnf(c_0_2013_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2013]) ).
cnf(c_0_2013_1,axiom,
( c_List_Olist_OCons(X3,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X3,X1,X2),X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2013]) ).
cnf(c_0_2014_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2014]) ).
cnf(c_0_2014_1,axiom,
( ~ c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2014]) ).
cnf(c_0_2015_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2015]) ).
cnf(c_0_2015_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2015]) ).
cnf(c_0_2016_0,axiom,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2016]) ).
cnf(c_0_2016_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2016]) ).
cnf(c_0_2017_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2017]) ).
cnf(c_0_2017_1,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2017]) ).
cnf(c_0_2018_0,axiom,
( c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2018]) ).
cnf(c_0_2018_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2018]) ).
cnf(c_0_2019_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2019]) ).
cnf(c_0_2019_1,axiom,
( c_List_Ofilter(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2019]) ).
cnf(c_0_2020_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2020]) ).
cnf(c_0_2020_1,axiom,
( c_List_Olist_OCons(X2,X3,X4) != c_List_Ofilter(X1,X5,X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2020]) ).
cnf(c_0_2028_0,axiom,
( c_List_Olist__all(X1,X3,X2)
| ~ c_List_Olist__all(X1,hAPP(c_List_Orev(X2),X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2028]) ).
cnf(c_0_2028_1,axiom,
( ~ c_List_Olist__all(X1,hAPP(c_List_Orev(X2),X3),X2)
| c_List_Olist__all(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2028]) ).
cnf(c_0_2029_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2029]) ).
cnf(c_0_2029_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2029]) ).
cnf(c_0_2029_2,axiom,
( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2029]) ).
cnf(c_0_2030_0,axiom,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2030]) ).
cnf(c_0_2030_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2030]) ).
cnf(c_0_2030_2,axiom,
( ~ hBOOL(hAPP(X1,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2030]) ).
cnf(c_0_2035_0,axiom,
( c_List_Otake(X3,X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2035]) ).
cnf(c_0_2035_1,axiom,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Otake(X3,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2035]) ).
cnf(c_0_2036_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Olist_ONil(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2036]) ).
cnf(c_0_2036_1,axiom,
( c_List_Ofilter(X1,c_List_Oreplicate(X3,X2,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2036]) ).
cnf(c_0_2038_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != hAPP(c_List_Orev(X3),X1) ),
inference(literals_permutation,[status(thm)],[c_0_2038]) ).
cnf(c_0_2038_1,axiom,
( c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) != hAPP(c_List_Orev(X3),X1)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2038]) ).
cnf(c_0_2039_0,axiom,
( X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| hAPP(c_List_Orev(X3),X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2039]) ).
cnf(c_0_2039_1,axiom,
( hAPP(c_List_Orev(X3),X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3)
| X1 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2039]) ).
cnf(c_0_2041_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat)
| c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2041]) ).
cnf(c_0_2041_1,axiom,
( c_List_Odrop(X3,X1,X2) != c_List_Olist_ONil(X2)
| c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2041]) ).
cnf(c_0_2042_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2042]) ).
cnf(c_0_2042_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2042]) ).
cnf(c_0_2042_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2042]) ).
cnf(c_0_2042_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2042]) ).
cnf(c_0_2043_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2043]) ).
cnf(c_0_2043_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2043]) ).
cnf(c_0_2043_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2043]) ).
cnf(c_0_2043_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2043]) ).
cnf(c_0_2044_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2044_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2044_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2044_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2044]) ).
cnf(c_0_2047_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2047]) ).
cnf(c_0_2047_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2047]) ).
cnf(c_0_2047_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2047]) ).
cnf(c_0_2048_0,axiom,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2048]) ).
cnf(c_0_2048_1,axiom,
( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2048]) ).
cnf(c_0_2048_2,axiom,
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2048]) ).
cnf(c_0_2050_0,axiom,
( c_List_Olist__all(X1,hAPP(c_List_Orev(X3),X2),X3)
| ~ c_List_Olist__all(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2050]) ).
cnf(c_0_2050_1,axiom,
( ~ c_List_Olist__all(X1,X2,X3)
| c_List_Olist__all(X1,hAPP(c_List_Orev(X3),X2),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2050]) ).
cnf(c_0_2051_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2051]) ).
cnf(c_0_2051_1,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2051]) ).
cnf(c_0_2052_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2052]) ).
cnf(c_0_2052_1,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2052]) ).
cnf(c_0_2053_0,axiom,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2053]) ).
cnf(c_0_2053_1,axiom,
( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2053]) ).
cnf(c_0_2054_0,axiom,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2054]) ).
cnf(c_0_2054_1,axiom,
( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2054]) ).
cnf(c_0_2055_0,axiom,
( X1 = X2
| c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2055]) ).
cnf(c_0_2055_1,axiom,
( c_List_Oreplicate(X1,X3,X4) != c_List_Oreplicate(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2055]) ).
cnf(c_0_2056_0,axiom,
( X1 = X2
| c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2056]) ).
cnf(c_0_2056_1,axiom,
( c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2056]) ).
cnf(c_0_2057_0,axiom,
( X1 = X2
| c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2057]) ).
cnf(c_0_2057_1,axiom,
( c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2057]) ).
cnf(c_0_2058_0,axiom,
( X1 = X2
| c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2058]) ).
cnf(c_0_2058_1,axiom,
( c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2058]) ).
cnf(c_0_2059_0,axiom,
( X2 = X3
| ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2059]) ).
cnf(c_0_2059_1,axiom,
( ~ hBOOL(hAPP(hAPP(c_fequal(X1),X2),X3))
| X2 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2059]) ).
cnf(c_0_2060_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2060]) ).
cnf(c_0_2060_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2060]) ).
cnf(c_0_2060_2,axiom,
( ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2060]) ).
cnf(c_0_2064_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2064_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2064_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremove1(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2064]) ).
cnf(c_0_2065_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2065]) ).
cnf(c_0_2065_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2065]) ).
cnf(c_0_2065_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_OdropWhile(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2065]) ).
cnf(c_0_2066_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2066]) ).
cnf(c_0_2066_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2066]) ).
cnf(c_0_2066_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Otake(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2066]) ).
cnf(c_0_2067_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2067]) ).
cnf(c_0_2067_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2067]) ).
cnf(c_0_2067_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Odrop(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2067]) ).
cnf(c_0_2072_0,axiom,
( X1 = X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_2,axiom,
( ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_3,axiom,
( ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ c_List_Odistinct(X2,X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_4,axiom,
( ~ c_List_Odistinct(X2,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_5,axiom,
( c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2072_6,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_List_Oset(X1,X3) != c_List_Oset(X2,X3)
| ~ c_List_Odistinct(X2,X3)
| ~ c_List_Olinorder__class_Osorted(X2,X3)
| ~ c_List_Odistinct(X1,X3)
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2072]) ).
cnf(c_0_2073_0,axiom,
( c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2073]) ).
cnf(c_0_2073_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2073]) ).
cnf(c_0_2074_0,axiom,
( c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2074]) ).
cnf(c_0_2074_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Oremove1(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2074]) ).
cnf(c_0_2075_0,axiom,
( c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2075]) ).
cnf(c_0_2075_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Osublist(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2075]) ).
cnf(c_0_2076_0,axiom,
( c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2076]) ).
cnf(c_0_2076_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_OdropWhile(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2076]) ).
cnf(c_0_2077_0,axiom,
( c_List_Odistinct(c_List_Otake(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2077]) ).
cnf(c_0_2077_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Otake(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2077]) ).
cnf(c_0_2078_0,axiom,
( c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2078]) ).
cnf(c_0_2078_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Odrop(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2078]) ).
cnf(c_0_2079_0,axiom,
( c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2079]) ).
cnf(c_0_2079_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Ofilter(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2079]) ).
cnf(c_0_2080_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2080]) ).
cnf(c_0_2080_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2080]) ).
cnf(c_0_2081_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2081]) ).
cnf(c_0_2081_1,axiom,
( c_List_Olast(c_List_Oappend(X3,X1,X2),X2) = c_List_Olast(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2081]) ).
cnf(c_0_2082_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2082]) ).
cnf(c_0_2082_1,axiom,
( c_List_Ohd(c_List_Oappend(X1,X3,X2),X2) = c_List_Ohd(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2082]) ).
cnf(c_0_2083_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2083]) ).
cnf(c_0_2083_1,axiom,
( c_List_Olast(c_List_Olist_OCons(X3,X1,X2),X2) = c_List_Olast(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2083]) ).
cnf(c_0_2087_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2087]) ).
cnf(c_0_2087_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2087]) ).
cnf(c_0_2087_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2087]) ).
cnf(c_0_2088_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2088]) ).
cnf(c_0_2088_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2088]) ).
cnf(c_0_2088_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2088]) ).
cnf(c_0_2089_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2089]) ).
cnf(c_0_2089_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2089]) ).
cnf(c_0_2089_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2089]) ).
cnf(c_0_2090_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2090_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2090_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2090]) ).
cnf(c_0_2091_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2091_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2091_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2091]) ).
cnf(c_0_2092_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2092_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2092_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2092]) ).
cnf(c_0_2093_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2093]) ).
cnf(c_0_2093_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2093]) ).
cnf(c_0_2093_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2093]) ).
cnf(c_0_2094_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2094]) ).
cnf(c_0_2094_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2094]) ).
cnf(c_0_2094_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2094]) ).
cnf(c_0_2095_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2095]) ).
cnf(c_0_2095_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2095]) ).
cnf(c_0_2095_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2095]) ).
cnf(c_0_2096_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2096]) ).
cnf(c_0_2096_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2096]) ).
cnf(c_0_2096_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2096]) ).
cnf(c_0_2097_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2097]) ).
cnf(c_0_2097_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2097]) ).
cnf(c_0_2097_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__update__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2097]) ).
cnf(c_0_2098_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2098]) ).
cnf(c_0_2098_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2098]) ).
cnf(c_0_2098_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2098]) ).
cnf(c_0_2099_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2099]) ).
cnf(c_0_2099_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2099]) ).
cnf(c_0_2099_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2099]) ).
cnf(c_0_2100_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2100]) ).
cnf(c_0_2100_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2100]) ).
cnf(c_0_2100_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2100]) ).
cnf(c_0_2101_0,axiom,
( hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2101]) ).
cnf(c_0_2101_1,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
inference(literals_permutation,[status(thm)],[c_0_2101]) ).
cnf(c_0_2101_2,axiom,
( ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a)))
| hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2101]) ).
cnf(c_0_2105_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2105]) ).
cnf(c_0_2105_1,axiom,
( c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2105]) ).
cnf(c_0_2106_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2106]) ).
cnf(c_0_2106_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2106]) ).
cnf(c_0_2106_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2106]) ).
cnf(c_0_2111_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2111]) ).
cnf(c_0_2111_1,axiom,
( c_lessequals(X2,X1,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2111]) ).
cnf(c_0_2112_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2112]) ).
cnf(c_0_2112_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2112]) ).
cnf(c_0_2113_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2113]) ).
cnf(c_0_2113_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2113]) ).
cnf(c_0_2114_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2114]) ).
cnf(c_0_2114_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2114]) ).
cnf(c_0_2115_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2115]) ).
cnf(c_0_2115_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2115]) ).
cnf(c_0_2116_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2116]) ).
cnf(c_0_2116_1,axiom,
( c_List_Orotate(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2116]) ).
cnf(c_0_2117_0,axiom,
( c_List_Odistinct(X2,X1)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X1),X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_2117]) ).
cnf(c_0_2117_1,axiom,
( ~ c_List_Odistinct(hAPP(c_List_Orev(X1),X2),X1)
| c_List_Odistinct(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2117]) ).
cnf(c_0_2119_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2119]) ).
cnf(c_0_2119_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2119]) ).
cnf(c_0_2120_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2120]) ).
cnf(c_0_2120_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2120]) ).
cnf(c_0_2121_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2121]) ).
cnf(c_0_2121_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2121]) ).
cnf(c_0_2122_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2122]) ).
cnf(c_0_2122_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2122]) ).
cnf(c_0_2126_0,axiom,
( c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2))
| c_List_Oremdups(X1,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2126]) ).
cnf(c_0_2126_1,axiom,
( c_List_Oremdups(X1,X2) != X1
| c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2126]) ).
cnf(c_0_2130_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2130]) ).
cnf(c_0_2130_1,axiom,
( ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2130]) ).
cnf(c_0_2133_0,axiom,
( c_List_Odistinct(hAPP(c_List_Orev(X2),X1),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2133]) ).
cnf(c_0_2133_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(hAPP(c_List_Orev(X2),X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2133]) ).
cnf(c_0_2134_0,axiom,
( c_List_Olistsum(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olistsum(X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2134]) ).
cnf(c_0_2134_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_List_Olistsum(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olistsum(X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2134]) ).
cnf(c_0_2135_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olast(hAPP(c_List_Orev(X2),X1),X2) = c_List_Ohd(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2135]) ).
cnf(c_0_2135_1,axiom,
( c_List_Olast(hAPP(c_List_Orev(X2),X1),X2) = c_List_Ohd(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2135]) ).
cnf(c_0_2136_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Ohd(hAPP(c_List_Orev(X2),X1),X2) = c_List_Olast(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2136]) ).
cnf(c_0_2136_1,axiom,
( c_List_Ohd(hAPP(c_List_Orev(X2),X1),X2) = c_List_Olast(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2136]) ).
cnf(c_0_2139_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2139]) ).
cnf(c_0_2139_1,axiom,
( ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2139]) ).
cnf(c_0_2139_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| c_List_Olinorder__class_Osorted(c_List_Oremdups(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2139]) ).
cnf(c_0_2142_0,axiom,
( X1 = X2
| hAPP(c_List_Orev(X3),X1) != hAPP(c_List_Orev(X3),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2142]) ).
cnf(c_0_2142_1,axiom,
( hAPP(c_List_Orev(X3),X1) != hAPP(c_List_Orev(X3),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2142]) ).
cnf(c_0_2151_0,axiom,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2151]) ).
cnf(c_0_2151_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2151]) ).
cnf(c_0_2152_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2152]) ).
cnf(c_0_2152_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2152]) ).
cnf(c_0_2153_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2153]) ).
cnf(c_0_2153_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2153]) ).
cnf(c_0_2168_0,axiom,
( X1 = X2
| c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2168]) ).
cnf(c_0_2168_1,axiom,
( c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2168]) ).
cnf(c_0_2169_0,axiom,
( X1 = X2
| c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2169]) ).
cnf(c_0_2169_1,axiom,
( c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2169]) ).
cnf(c_0_2170_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2170]) ).
cnf(c_0_2170_1,axiom,
( hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2170]) ).
cnf(c_0_2171_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2171]) ).
cnf(c_0_2171_1,axiom,
( hAPP(c_List_Orev(X2),X1) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2171]) ).
cnf(c_0_2173_0,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2173]) ).
cnf(c_0_2173_1,axiom,
( c_List_Oremdups(X1,X2) != X1
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2173]) ).
cnf(c_0_2174_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2174]) ).
cnf(c_0_2174_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2174]) ).
cnf(c_0_2175_0,axiom,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2175]) ).
cnf(c_0_2175_1,axiom,
( ~ class_HOL_Oord(X1)
| class_HOL_Oord(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2175]) ).
cnf(c_0_2176_0,axiom,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2176]) ).
cnf(c_0_2176_1,axiom,
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2176]) ).
cnf(c_0_2177_0,axiom,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2177]) ).
cnf(c_0_2177_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2177]) ).
cnf(c_0_2178_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2178]) ).
cnf(c_0_2178_1,axiom,
( c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2178]) ).
cnf(c_0_2179_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2179]) ).
cnf(c_0_2179_1,axiom,
( c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2179]) ).
cnf(c_0_2180_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2180]) ).
cnf(c_0_2180_1,axiom,
( c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2180]) ).
cnf(c_0_2183_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2183]) ).
cnf(c_0_2183_1,axiom,
( ~ c_List_Onull(X1,X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2183]) ).
cnf(c_0_2184_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2184]) ).
cnf(c_0_2184_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_2184]) ).
cnf(c_0_2193_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2193]) ).
cnf(c_0_2193_1,axiom,
( c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2193]) ).
cnf(c_0_1887_0,axiom,
~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1887]) ).
cnf(c_0_2037_0,axiom,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2037]) ).
cnf(c_0_2107_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2107]) ).
cnf(c_0_2108_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2108]) ).
cnf(c_0_2118_0,axiom,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2118]) ).
cnf(c_0_2123_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_2123]) ).
cnf(c_0_2124_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_2124]) ).
cnf(c_0_2125_0,axiom,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2125]) ).
cnf(c_0_2127_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != X1,
inference(literals_permutation,[status(thm)],[c_0_2127]) ).
cnf(c_0_2128_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(literals_permutation,[status(thm)],[c_0_2128]) ).
cnf(c_0_2195_0,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
inference(literals_permutation,[status(thm)],[c_0_2195]) ).
cnf(c_0_2196_0,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
inference(literals_permutation,[status(thm)],[c_0_2196]) ).
cnf(c_0_2197_0,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
inference(literals_permutation,[status(thm)],[c_0_2197]) ).
cnf(c_0_2198_0,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
inference(literals_permutation,[status(thm)],[c_0_2198]) ).
cnf(c_0_2208_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(literals_permutation,[status(thm)],[c_0_2208]) ).
cnf(c_0_2209_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(literals_permutation,[status(thm)],[c_0_2209]) ).
cnf(c_0_1795_0,axiom,
c_List_Ofoldr(X1,X2,c_List_Ofoldr(X1,X3,X5,X4,X6),X4,X6) = c_List_Ofoldr(X1,c_List_Oappend(X2,X3,X4),X5,X4,X6),
inference(literals_permutation,[status(thm)],[c_0_1795]) ).
cnf(c_0_1796_0,axiom,
c_List_Ofoldl(X1,c_List_Ofoldl(X1,X2,X3,X6,X5),X4,X6,X5) = c_List_Ofoldl(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5),
inference(literals_permutation,[status(thm)],[c_0_1796]) ).
cnf(c_0_1801_0,axiom,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(hAPP(X2,X3),X4),c_List_Olist_Olist__rec(X1,X2,X4,X6,X5)),
inference(literals_permutation,[status(thm)],[c_0_1801]) ).
cnf(c_0_1802_0,axiom,
c_List_Ofoldr(X1,c_List_Olist_OCons(X2,X3,X4),X5,X4,X6) = hAPP(hAPP(X1,X2),c_List_Ofoldr(X1,X3,X5,X4,X6)),
inference(literals_permutation,[status(thm)],[c_0_1802]) ).
cnf(c_0_1819_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = c_List_Ofoldl(X1,hAPP(hAPP(X1,X2),X3),X4,X6,X5),
inference(literals_permutation,[status(thm)],[c_0_1819]) ).
cnf(c_0_1828_0,axiom,
c_List_Omap(X1,c_List_Olist__update(X2,X3,X4,X5),X5,X6) = c_List_Olist__update(c_List_Omap(X1,X2,X5,X6),X3,hAPP(X1,X4),X6),
inference(literals_permutation,[status(thm)],[c_0_1828]) ).
cnf(c_0_1830_0,axiom,
c_List_Oappend(c_List_Omap(X1,X2,X4,X5),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Oappend(X2,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1830]) ).
cnf(c_0_1831_0,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
inference(literals_permutation,[status(thm)],[c_0_1831]) ).
cnf(c_0_1832_0,axiom,
hAPP(c_List_Orev(X2),c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),tc_nat),tc_nat),X3,X2)) = c_List_Orotate(X1,hAPP(c_List_Orev(X2),X3),X2),
inference(literals_permutation,[status(thm)],[c_0_1832]) ).
cnf(c_0_1833_0,axiom,
c_lessequals(c_List_Oset(c_List_Olist__update(X1,X2,X3,X4),X4),c_Set_Oinsert(X3,c_List_Oset(X1,X4),X4),tc_fun(X4,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1833]) ).
cnf(c_0_1834_0,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
inference(literals_permutation,[status(thm)],[c_0_1834]) ).
cnf(c_0_1835_0,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
inference(literals_permutation,[status(thm)],[c_0_1835]) ).
cnf(c_0_1836_0,axiom,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1836]) ).
cnf(c_0_1837_0,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1837]) ).
cnf(c_0_1838_0,axiom,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_1838]) ).
cnf(c_0_1839_0,axiom,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1839]) ).
cnf(c_0_1840_0,axiom,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1840]) ).
cnf(c_0_1841_0,axiom,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
inference(literals_permutation,[status(thm)],[c_0_1841]) ).
cnf(c_0_1842_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1842]) ).
cnf(c_0_1843_0,axiom,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
inference(literals_permutation,[status(thm)],[c_0_1843]) ).
cnf(c_0_1844_0,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
inference(literals_permutation,[status(thm)],[c_0_1844]) ).
cnf(c_0_1845_0,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
inference(literals_permutation,[status(thm)],[c_0_1845]) ).
cnf(c_0_1846_0,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_1846]) ).
cnf(c_0_1847_0,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
inference(literals_permutation,[status(thm)],[c_0_1847]) ).
cnf(c_0_1849_0,axiom,
c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),c_List_Otake(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3),X3) = c_List_Orotate(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1849]) ).
cnf(c_0_1850_0,axiom,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
inference(literals_permutation,[status(thm)],[c_0_1850]) ).
cnf(c_0_1854_0,axiom,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_1854]) ).
cnf(c_0_1855_0,axiom,
c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5) = c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1855]) ).
cnf(c_0_1856_0,axiom,
c_List_Omap(X1,c_List_Olist_OCons(X2,X3,X4),X4,X5) = c_List_Olist_OCons(hAPP(X1,X2),c_List_Omap(X1,X3,X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_1856]) ).
cnf(c_0_1857_0,axiom,
c_List_Odrop(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Odrop(X1,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1857]) ).
cnf(c_0_1858_0,axiom,
c_List_Orotate(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Orotate(X1,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1858]) ).
cnf(c_0_1859_0,axiom,
c_List_Otake(X1,c_List_Omap(X2,X3,X4,X5),X5) = c_List_Omap(X2,c_List_Otake(X1,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_1859]) ).
cnf(c_0_1862_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_1862]) ).
cnf(c_0_1867_0,axiom,
hAPP(c_List_Orev(X1),c_List_Omap(X2,X3,X4,X1)) = c_List_Omap(X2,hAPP(c_List_Orev(X4),X3),X4,X1),
inference(literals_permutation,[status(thm)],[c_0_1867]) ).
cnf(c_0_1868_0,axiom,
c_List_Oappend(c_List_Odrop(X1,X2,X4),c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4) = c_List_Odrop(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1868]) ).
cnf(c_0_1869_0,axiom,
c_List_Oappend(c_List_Otake(X1,X2,X4),c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X4)),tc_nat),X3,X4),X4) = c_List_Otake(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1869]) ).
cnf(c_0_1870_0,axiom,
c_List_Olist__update(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X5,X4) = c_List_Oappend(X1,c_List_Olist_OCons(X5,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1870]) ).
cnf(c_0_1871_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1871]) ).
cnf(c_0_1874_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1874]) ).
cnf(c_0_1877_0,axiom,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,X4,X3),X3) = c_List_Olist_OCons(X2,c_List_Oappend(c_List_Oreplicate(X1,X2,X3),X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1877]) ).
cnf(c_0_1899_0,axiom,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Oreplicate(X4,X2,X3),X3) = c_List_Oappend(c_List_Oreplicate(X4,X2,X3),c_List_Oreplicate(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1899]) ).
cnf(c_0_1900_0,axiom,
c_Nat_Osize__class_Osize(c_List_Omap(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
inference(literals_permutation,[status(thm)],[c_0_1900]) ).
cnf(c_0_1901_0,axiom,
c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),
inference(literals_permutation,[status(thm)],[c_0_1901]) ).
cnf(c_0_1903_0,axiom,
hAPP(c_List_Orev(X1),c_List_Oappend(hAPP(c_List_Orev(X1),X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)) = c_List_Olist_OCons(X3,X2,X1),
inference(literals_permutation,[status(thm)],[c_0_1903]) ).
cnf(c_0_1906_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(literals_permutation,[status(thm)],[c_0_1906]) ).
cnf(c_0_1907_0,axiom,
c_List_Oappend(c_List_Oreplicate(X1,X2,X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) = c_List_Olist_OCons(X2,c_List_Oreplicate(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1907]) ).
cnf(c_0_1908_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1908]) ).
cnf(c_0_1909_0,axiom,
c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5) = c_List_Oreplicate(X2,hAPP(X1,X3),X5),
inference(literals_permutation,[status(thm)],[c_0_1909]) ).
cnf(c_0_1910_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1910]) ).
cnf(c_0_1911_0,axiom,
c_List_Oappend(c_List_Ofilter(X1,X2,X4),c_List_Ofilter(X1,X3,X4),X4) = c_List_Ofilter(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1911]) ).
cnf(c_0_1912_0,axiom,
c_List_Otake(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_List_Odrop(X1,X3,X4),X4) = c_List_Odrop(X1,c_List_Otake(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1912]) ).
cnf(c_0_1915_0,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_1915]) ).
cnf(c_0_1916_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_1916]) ).
cnf(c_0_1920_0,axiom,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X1)),X2,tc_nat),hAPP(c_List_Orev(X1),X3),X1) = hAPP(c_List_Orev(X1),c_List_Odrop(X2,X3,X1)),
inference(literals_permutation,[status(thm)],[c_0_1920]) ).
cnf(c_0_1921_0,axiom,
c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X1)),X2,tc_nat),hAPP(c_List_Orev(X1),X3),X1) = hAPP(c_List_Orev(X1),c_List_Otake(X2,X3,X1)),
inference(literals_permutation,[status(thm)],[c_0_1921]) ).
cnf(c_0_1927_0,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1927]) ).
cnf(c_0_1928_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_1928]) ).
cnf(c_0_1931_0,axiom,
c_lessequals(c_List_Oset(c_List_Osublist(X1,X2,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1931]) ).
cnf(c_0_1932_0,axiom,
c_lessequals(c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1932]) ).
cnf(c_0_1933_0,axiom,
c_lessequals(c_Nat_Osize__class_Osize(c_List_OdropWhile(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1933]) ).
cnf(c_0_1934_0,axiom,
c_lessequals(c_List_Oset(c_List_Odrop(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1934]) ).
cnf(c_0_1935_0,axiom,
c_lessequals(c_Nat_Osize__class_Osize(c_List_Ofilter(X1,X2,X3),tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1935]) ).
cnf(c_0_1936_0,axiom,
c_lessequals(c_List_Oset(c_List_Ofilter(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1936]) ).
cnf(c_0_1937_0,axiom,
c_lessequals(c_List_Oset(c_List_Otake(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1937]) ).
cnf(c_0_1938_0,axiom,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1938]) ).
cnf(c_0_1940_0,axiom,
c_List_Oappend(hAPP(c_List_Orev(X1),X3),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) = hAPP(c_List_Orev(X1),c_List_Olist_OCons(X2,X3,X1)),
inference(literals_permutation,[status(thm)],[c_0_1940]) ).
cnf(c_0_1944_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_1944]) ).
cnf(c_0_1947_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1947]) ).
cnf(c_0_1948_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1948]) ).
cnf(c_0_1949_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1949]) ).
cnf(c_0_1950_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1950]) ).
cnf(c_0_1951_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1951]) ).
cnf(c_0_1952_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1952]) ).
cnf(c_0_1953_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1953]) ).
cnf(c_0_1954_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1954]) ).
cnf(c_0_1955_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_1955]) ).
cnf(c_0_1959_0,axiom,
c_List_Odrop(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_1959]) ).
cnf(c_0_1960_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_1960]) ).
cnf(c_0_1968_0,axiom,
c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) = c_List_Orotate1(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_1968]) ).
cnf(c_0_1971_0,axiom,
c_List_Orotate(c_Divides_Odiv__class_Omod(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),X2,X3) = c_List_Orotate(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_1971]) ).
cnf(c_0_1974_0,axiom,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_1974]) ).
cnf(c_0_1975_0,axiom,
c_Fun_Oinj__on(c_List_Orev(X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),
inference(literals_permutation,[status(thm)],[c_0_1975]) ).
cnf(c_0_1978_0,axiom,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_1978]) ).
cnf(c_0_1979_0,axiom,
c_List_Oappend(hAPP(c_List_Orev(X1),X3),hAPP(c_List_Orev(X1),X2),X1) = hAPP(c_List_Orev(X1),c_List_Oappend(X2,X3,X1)),
inference(literals_permutation,[status(thm)],[c_0_1979]) ).
cnf(c_0_1980_0,axiom,
c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1980]) ).
cnf(c_0_1981_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1981]) ).
cnf(c_0_1982_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1982]) ).
cnf(c_0_1983_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_1983]) ).
cnf(c_0_1984_0,axiom,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1984]) ).
cnf(c_0_1985_0,axiom,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_1985]) ).
cnf(c_0_1994_0,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(literals_permutation,[status(thm)],[c_0_1994]) ).
cnf(c_0_2000_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(literals_permutation,[status(thm)],[c_0_2000]) ).
cnf(c_0_2001_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2001]) ).
cnf(c_0_2003_0,axiom,
c_List_Ofilter(X2,hAPP(c_List_Orev(X1),X3),X1) = hAPP(c_List_Orev(X1),c_List_Ofilter(X2,X3,X1)),
inference(literals_permutation,[status(thm)],[c_0_2003]) ).
cnf(c_0_2005_0,axiom,
c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2005]) ).
cnf(c_0_2006_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2006]) ).
cnf(c_0_2021_0,axiom,
c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3) = c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2021]) ).
cnf(c_0_2022_0,axiom,
c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2022]) ).
cnf(c_0_2023_0,axiom,
c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3) = c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2023]) ).
cnf(c_0_2024_0,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2024]) ).
cnf(c_0_2025_0,axiom,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2025]) ).
cnf(c_0_2026_0,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2026]) ).
cnf(c_0_2027_0,axiom,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2027]) ).
cnf(c_0_2031_0,axiom,
c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2031]) ).
cnf(c_0_2032_0,axiom,
c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_2032]) ).
cnf(c_0_2033_0,axiom,
hAPP(c_List_Orev(X2),c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2033]) ).
cnf(c_0_2034_0,axiom,
hAPP(c_List_Orev(X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)) = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_2034]) ).
cnf(c_0_2040_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2040]) ).
cnf(c_0_2045_0,axiom,
hAPP(c_List_Orev(X1),c_List_Oreplicate(X2,X3,X1)) = c_List_Oreplicate(X2,X3,X1),
inference(literals_permutation,[status(thm)],[c_0_2045]) ).
cnf(c_0_2046_0,axiom,
c_lessequals(c_Nat_Osize__class_Osize(c_List_Oremdups(X1,X2),tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2046]) ).
cnf(c_0_2049_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
inference(literals_permutation,[status(thm)],[c_0_2049]) ).
cnf(c_0_2061_0,axiom,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_2061]) ).
cnf(c_0_2062_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2062]) ).
cnf(c_0_2063_0,axiom,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2063]) ).
cnf(c_0_2068_0,axiom,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
inference(literals_permutation,[status(thm)],[c_0_2068]) ).
cnf(c_0_2069_0,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2069]) ).
cnf(c_0_2070_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate(X1,X2,X3),tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),
inference(literals_permutation,[status(thm)],[c_0_2070]) ).
cnf(c_0_2071_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2071]) ).
cnf(c_0_2084_0,axiom,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2084]) ).
cnf(c_0_2085_0,axiom,
c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2085]) ).
cnf(c_0_2086_0,axiom,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2086]) ).
cnf(c_0_2102_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
inference(literals_permutation,[status(thm)],[c_0_2102]) ).
cnf(c_0_2103_0,axiom,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_2103]) ).
cnf(c_0_2104_0,axiom,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
inference(literals_permutation,[status(thm)],[c_0_2104]) ).
cnf(c_0_2109_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
inference(literals_permutation,[status(thm)],[c_0_2109]) ).
cnf(c_0_2110_0,axiom,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2110]) ).
cnf(c_0_2129_0,axiom,
c_Nat_Osize__class_Osize(hAPP(c_List_Orev(X1),X2),tc_List_Olist(X1)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X1)),
inference(literals_permutation,[status(thm)],[c_0_2129]) ).
cnf(c_0_2131_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2131]) ).
cnf(c_0_2132_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2132]) ).
cnf(c_0_2137_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2137]) ).
cnf(c_0_2138_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2138]) ).
cnf(c_0_2140_0,axiom,
c_List_Oset(hAPP(c_List_Orev(X1),X2),X1) = c_List_Oset(X2,X1),
inference(literals_permutation,[status(thm)],[c_0_2140]) ).
cnf(c_0_2141_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orotate1(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(literals_permutation,[status(thm)],[c_0_2141]) ).
cnf(c_0_2143_0,axiom,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2143]) ).
cnf(c_0_2144_0,axiom,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2144]) ).
cnf(c_0_2145_0,axiom,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2145]) ).
cnf(c_0_2146_0,axiom,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2146]) ).
cnf(c_0_2147_0,axiom,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2147]) ).
cnf(c_0_2148_0,axiom,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2148]) ).
cnf(c_0_2149_0,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2149]) ).
cnf(c_0_2150_0,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
inference(literals_permutation,[status(thm)],[c_0_2150]) ).
cnf(c_0_2154_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2154]) ).
cnf(c_0_2155_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2155]) ).
cnf(c_0_2156_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2156]) ).
cnf(c_0_2157_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_2157]) ).
cnf(c_0_2158_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2158]) ).
cnf(c_0_2159_0,axiom,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2159]) ).
cnf(c_0_2160_0,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2160]) ).
cnf(c_0_2161_0,axiom,
hAPP(c_List_Orev(X2),hAPP(c_List_Orev(X2),X1)) = X1,
inference(literals_permutation,[status(thm)],[c_0_2161]) ).
cnf(c_0_2162_0,axiom,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(literals_permutation,[status(thm)],[c_0_2162]) ).
cnf(c_0_2163_0,axiom,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
inference(literals_permutation,[status(thm)],[c_0_2163]) ).
cnf(c_0_2164_0,axiom,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2164]) ).
cnf(c_0_2165_0,axiom,
c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2165]) ).
cnf(c_0_2166_0,axiom,
c_lessequals(X1,X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2166]) ).
cnf(c_0_2167_0,axiom,
c_lessequals(X1,X1,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2167]) ).
cnf(c_0_2172_0,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2172]) ).
cnf(c_0_2181_0,axiom,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2181]) ).
cnf(c_0_2182_0,axiom,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2182]) ).
cnf(c_0_2185_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2185]) ).
cnf(c_0_2186_0,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2186]) ).
cnf(c_0_2187_0,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2187]) ).
cnf(c_0_2188_0,axiom,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2188]) ).
cnf(c_0_2189_0,axiom,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2189]) ).
cnf(c_0_2190_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
inference(literals_permutation,[status(thm)],[c_0_2190]) ).
cnf(c_0_2191_0,axiom,
c_List_Onull(c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_2191]) ).
cnf(c_0_2192_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_2192]) ).
cnf(c_0_2194_0,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
inference(literals_permutation,[status(thm)],[c_0_2194]) ).
cnf(c_0_2199_0,axiom,
class_HOL_Oord(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2199]) ).
cnf(c_0_2200_0,axiom,
class_Orderings_Oorder(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2200]) ).
cnf(c_0_2201_0,axiom,
class_Orderings_Opreorder(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2201]) ).
cnf(c_0_2202_0,axiom,
class_HOL_Oord(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2202]) ).
cnf(c_0_2203_0,axiom,
class_Orderings_Oorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2203]) ).
cnf(c_0_2204_0,axiom,
class_Orderings_Olinorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2204]) ).
cnf(c_0_2205_0,axiom,
class_Orderings_Opreorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2205]) ).
cnf(c_0_2206_0,axiom,
class_Divides_Osemiring__div(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2206]) ).
cnf(c_0_2207_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2207]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
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))),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_1_002,negated_conjecture,
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))),
c_0_0 ).
fof(c_0_2_003,negated_conjecture,
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))),
c_0_1 ).
cnf(c_0_3_004,negated_conjecture,
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))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_005,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_840,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/iprover_modulo_c2faff.p',c_0_4) ).
cnf(c_1195,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_840]) ).
cnf(c_1199,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1195]) ).
cnf(c_1200,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1199]) ).
cnf(c_1201,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1200]) ).
cnf(c_3594,negated_conjecture,
c_Event_Oknows(c_Message_Oagent_OSpy,hAPP(c_List_Orev(tc_Event_Oevent),c_List_Olist_ONil(tc_Event_Oevent))) != c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1201]) ).
cnf(c_3595,plain,
c_Event_OinitState(c_Message_Oagent_OSpy) != c_Event_OinitState(c_Message_Oagent_OSpy),
inference(rewriting,[status(thm)],[c_3594]) ).
cnf(c_3596,plain,
$false,
inference(equality_resolution_simp,[status(esa)],[c_3595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV779-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.14 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 12:04:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.36 % Running in mono-core mode
% 0.21/0.50 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.50 % Orientation found
% 0.21/0.50 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aad351.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c2faff.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ef54ff | grep -v "SZS"
% 0.21/0.52
% 0.21/0.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.52
% 0.21/0.52 %
% 0.21/0.52 % ------ iProver source info
% 0.21/0.52
% 0.21/0.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.52 % git: non_committed_changes: true
% 0.21/0.52 % git: last_make_outside_of_git: true
% 0.21/0.52
% 0.21/0.52 %
% 0.21/0.52 % ------ Input Options
% 0.21/0.52
% 0.21/0.52 % --out_options all
% 0.21/0.52 % --tptp_safe_out true
% 0.21/0.52 % --problem_path ""
% 0.21/0.52 % --include_path ""
% 0.21/0.52 % --clausifier .//eprover
% 0.21/0.52 % --clausifier_options --tstp-format
% 0.21/0.52 % --stdin false
% 0.21/0.52 % --dbg_backtrace false
% 0.21/0.52 % --dbg_dump_prop_clauses false
% 0.21/0.52 % --dbg_dump_prop_clauses_file -
% 0.21/0.52 % --dbg_out_stat false
% 0.21/0.52
% 0.21/0.52 % ------ General Options
% 0.21/0.52
% 0.21/0.52 % --fof false
% 0.21/0.52 % --time_out_real 150.
% 0.21/0.52 % --time_out_prep_mult 0.2
% 0.21/0.52 % --time_out_virtual -1.
% 0.21/0.52 % --schedule none
% 0.21/0.52 % --ground_splitting input
% 0.21/0.52 % --splitting_nvd 16
% 0.21/0.52 % --non_eq_to_eq false
% 0.21/0.52 % --prep_gs_sim true
% 0.21/0.52 % --prep_unflatten false
% 0.21/0.52 % --prep_res_sim true
% 0.21/0.52 % --prep_upred true
% 0.21/0.52 % --res_sim_input true
% 0.21/0.52 % --clause_weak_htbl true
% 0.21/0.52 % --gc_record_bc_elim false
% 0.21/0.52 % --symbol_type_check false
% 0.21/0.52 % --clausify_out false
% 0.21/0.52 % --large_theory_mode false
% 0.21/0.52 % --prep_sem_filter none
% 0.21/0.52 % --prep_sem_filter_out false
% 0.21/0.52 % --preprocessed_out false
% 0.21/0.52 % --sub_typing false
% 0.21/0.52 % --brand_transform false
% 0.21/0.52 % --pure_diseq_elim true
% 0.21/0.52 % --min_unsat_core false
% 0.21/0.52 % --pred_elim true
% 0.21/0.52 % --add_important_lit false
% 0.21/0.52 % --soft_assumptions false
% 0.21/0.52 % --reset_solvers false
% 0.21/0.52 % --bc_imp_inh []
% 0.21/0.52 % --conj_cone_tolerance 1.5
% 0.21/0.52 % --prolific_symb_bound 500
% 0.21/0.52 % --lt_threshold 2000
% 0.21/0.52
% 0.21/0.52 % ------ SAT Options
% 0.21/0.52
% 0.21/0.52 % --sat_mode false
% 0.21/0.52 % --sat_fm_restart_options ""
% 0.21/0.52 % --sat_gr_def false
% 0.21/0.52 % --sat_epr_types true
% 0.21/0.52 % --sat_non_cyclic_types false
% 0.21/0.52 % --sat_finite_models false
% 0.21/0.52 % --sat_fm_lemmas false
% 0.21/0.52 % --sat_fm_prep false
% 0.21/0.52 % --sat_fm_uc_incr true
% 0.21/0.52 % --sat_out_model small
% 0.21/0.52 % --sat_out_clauses false
% 0.21/0.52
% 0.21/0.52 % ------ QBF Options
% 0.21/0.52
% 0.21/0.52 % --qbf_mode false
% 0.21/0.52 % --qbf_elim_univ true
% 0.21/0.52 % --qbf_sk_in true
% 0.21/0.52 % --qbf_pred_elim true
% 0.21/0.52 % --qbf_split 32
% 0.21/0.52
% 0.21/0.52 % ------ BMC1 Options
% 0.21/0.52
% 0.21/0.52 % --bmc1_incremental false
% 0.21/0.52 % --bmc1_axioms reachable_all
% 0.21/0.52 % --bmc1_min_bound 0
% 0.21/0.52 % --bmc1_max_bound -1
% 0.21/0.52 % --bmc1_max_bound_default -1
% 0.21/0.52 % --bmc1_symbol_reachability true
% 0.21/0.52 % --bmc1_property_lemmas false
% 0.21/0.52 % --bmc1_k_induction false
% 0.21/0.52 % --bmc1_non_equiv_states false
% 0.21/0.52 % --bmc1_deadlock false
% 0.21/0.52 % --bmc1_ucm false
% 0.21/0.52 % --bmc1_add_unsat_core none
% 0.21/0.52 % --bmc1_unsat_core_children false
% 0.21/0.52 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.52 % --bmc1_out_stat full
% 0.21/0.52 % --bmc1_ground_init false
% 0.21/0.52 % --bmc1_pre_inst_next_state false
% 0.21/0.52 % --bmc1_pre_inst_state false
% 0.21/0.52 % --bmc1_pre_inst_reach_state false
% 0.21/0.52 % --bmc1_out_unsat_core false
% 0.21/0.52 % --bmc1_aig_witness_out false
% 0.21/0.52 % --bmc1_verbose false
% 0.21/0.52 % --bmc1_dump_clauses_tptp false
% 5.49/5.77 % --bmc1_dump_unsat_core_tptp false
% 5.49/5.77 % --bmc1_dump_file -
% 5.49/5.77 % --bmc1_ucm_expand_uc_limit 128
% 5.49/5.77 % --bmc1_ucm_n_expand_iterations 6
% 5.49/5.77 % --bmc1_ucm_extend_mode 1
% 5.49/5.77 % --bmc1_ucm_init_mode 2
% 5.49/5.77 % --bmc1_ucm_cone_mode none
% 5.49/5.77 % --bmc1_ucm_reduced_relation_type 0
% 5.49/5.77 % --bmc1_ucm_relax_model 4
% 5.49/5.77 % --bmc1_ucm_full_tr_after_sat true
% 5.49/5.77 % --bmc1_ucm_expand_neg_assumptions false
% 5.49/5.77 % --bmc1_ucm_layered_model none
% 5.49/5.77 % --bmc1_ucm_max_lemma_size 10
% 5.49/5.77
% 5.49/5.77 % ------ AIG Options
% 5.49/5.77
% 5.49/5.77 % --aig_mode false
% 5.49/5.77
% 5.49/5.77 % ------ Instantiation Options
% 5.49/5.77
% 5.49/5.77 % --instantiation_flag true
% 5.49/5.77 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.49/5.77 % --inst_solver_per_active 750
% 5.49/5.77 % --inst_solver_calls_frac 0.5
% 5.49/5.77 % --inst_passive_queue_type priority_queues
% 5.49/5.77 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.49/5.77 % --inst_passive_queues_freq [25;2]
% 5.49/5.77 % --inst_dismatching true
% 5.49/5.77 % --inst_eager_unprocessed_to_passive true
% 5.49/5.77 % --inst_prop_sim_given true
% 5.49/5.77 % --inst_prop_sim_new false
% 5.49/5.77 % --inst_orphan_elimination true
% 5.49/5.77 % --inst_learning_loop_flag true
% 5.49/5.77 % --inst_learning_start 3000
% 5.49/5.77 % --inst_learning_factor 2
% 5.49/5.77 % --inst_start_prop_sim_after_learn 3
% 5.49/5.77 % --inst_sel_renew solver
% 5.49/5.77 % --inst_lit_activity_flag true
% 5.49/5.77 % --inst_out_proof true
% 5.49/5.77
% 5.49/5.77 % ------ Resolution Options
% 5.49/5.77
% 5.49/5.77 % --resolution_flag true
% 5.49/5.77 % --res_lit_sel kbo_max
% 5.49/5.77 % --res_to_prop_solver none
% 5.49/5.77 % --res_prop_simpl_new false
% 5.49/5.77 % --res_prop_simpl_given false
% 5.49/5.77 % --res_passive_queue_type priority_queues
% 5.49/5.77 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.49/5.77 % --res_passive_queues_freq [15;5]
% 5.49/5.77 % --res_forward_subs full
% 5.49/5.77 % --res_backward_subs full
% 5.49/5.77 % --res_forward_subs_resolution true
% 5.49/5.77 % --res_backward_subs_resolution true
% 5.49/5.77 % --res_orphan_elimination false
% 5.49/5.77 % --res_time_limit 1000.
% 5.49/5.77 % --res_out_proof true
% 5.49/5.77 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aad351.s
% 5.49/5.77 % --modulo true
% 5.49/5.77
% 5.49/5.77 % ------ Combination Options
% 5.49/5.77
% 5.49/5.77 % --comb_res_mult 1000
% 5.49/5.77 % --comb_inst_mult 300
% 5.49/5.77 % ------
% 5.49/5.77
% 5.49/5.77 % ------ Parsing...% successful
% 5.49/5.77
% 5.49/5.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 5.49/5.77
% 5.49/5.77 % ------ Proving...
% 5.49/5.77 % ------ Problem Properties
% 5.49/5.77
% 5.49/5.77 %
% 5.49/5.77 % EPR false
% 5.49/5.77 % Horn false
% 5.49/5.77 % Has equality true
% 5.49/5.77
% 5.49/5.77 % % ------ Input Options Time Limit: Unbounded
% 5.49/5.77
% 5.49/5.77
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
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% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.49/5.77 Loading plugin: done.
% 5.49/5.77 Compiling...
% 5.95/6.24 Loading plugin: done.
% 5.95/6.24 % % ------ Current options:
% 5.95/6.24
% 5.95/6.24 % ------ Input Options
% 5.95/6.24
% 5.95/6.24 % --out_options all
% 5.95/6.24 % --tptp_safe_out true
% 5.95/6.24 % --problem_path ""
% 5.95/6.24 % --include_path ""
% 5.95/6.24 % --clausifier .//eprover
% 5.95/6.24 % --clausifier_options --tstp-format
% 5.95/6.24 % --stdin false
% 5.95/6.24 % --dbg_backtrace false
% 5.95/6.24 % --dbg_dump_prop_clauses false
% 5.95/6.24 % --dbg_dump_prop_clauses_file -
% 5.95/6.24 % --dbg_out_stat false
% 5.95/6.24
% 5.95/6.24 % ------ General Options
% 5.95/6.24
% 5.95/6.24 % --fof false
% 5.95/6.24 % --time_out_real 150.
% 5.95/6.24 % --time_out_prep_mult 0.2
% 5.95/6.24 % --time_out_virtual -1.
% 5.95/6.24 % --schedule none
% 5.95/6.24 % --ground_splitting input
% 5.95/6.24 % --splitting_nvd 16
% 5.95/6.24 % --non_eq_to_eq false
% 5.95/6.24 % --prep_gs_sim true
% 5.95/6.24 % --prep_unflatten false
% 5.95/6.24 % --prep_res_sim true
% 5.95/6.24 % --prep_upred true
% 5.95/6.24 % --res_sim_input true
% 5.95/6.24 % --clause_weak_htbl true
% 5.95/6.24 % --gc_record_bc_elim false
% 5.95/6.24 % --symbol_type_check false
% 5.95/6.24 % --clausify_out false
% 5.95/6.24 % --large_theory_mode false
% 5.95/6.24 % --prep_sem_filter none
% 5.95/6.24 % --prep_sem_filter_out false
% 5.95/6.24 % --preprocessed_out false
% 5.95/6.24 % --sub_typing false
% 5.95/6.24 % --brand_transform false
% 5.95/6.24 % --pure_diseq_elim true
% 5.95/6.24 % --min_unsat_core false
% 5.95/6.24 % --pred_elim true
% 5.95/6.24 % --add_important_lit false
% 5.95/6.24 % --soft_assumptions false
% 5.95/6.24 % --reset_solvers false
% 5.95/6.24 % --bc_imp_inh []
% 5.95/6.24 % --conj_cone_tolerance 1.5
% 5.95/6.24 % --prolific_symb_bound 500
% 5.95/6.24 % --lt_threshold 2000
% 5.95/6.24
% 5.95/6.24 % ------ SAT Options
% 5.95/6.24
% 5.95/6.24 % --sat_mode false
% 5.95/6.24 % --sat_fm_restart_options ""
% 5.95/6.24 % --sat_gr_def false
% 5.95/6.24 % --sat_epr_types true
% 5.95/6.24 % --sat_non_cyclic_types false
% 5.95/6.24 % --sat_finite_models false
% 5.95/6.24 % --sat_fm_lemmas false
% 5.95/6.24 % --sat_fm_prep false
% 5.95/6.24 % --sat_fm_uc_incr true
% 5.95/6.24 % --sat_out_model small
% 5.95/6.24 % --sat_out_clauses false
% 5.95/6.24
% 5.95/6.24 % ------ QBF Options
% 5.95/6.24
% 5.95/6.24 % --qbf_mode false
% 5.95/6.24 % --qbf_elim_univ true
% 5.95/6.24 % --qbf_sk_in true
% 5.95/6.24 % --qbf_pred_elim true
% 5.95/6.24 % --qbf_split 32
% 5.95/6.24
% 5.95/6.24 % ------ BMC1 Options
% 5.95/6.24
% 5.95/6.24 % --bmc1_incremental false
% 5.95/6.24 % --bmc1_axioms reachable_all
% 5.95/6.24 % --bmc1_min_bound 0
% 5.95/6.24 % --bmc1_max_bound -1
% 5.95/6.24 % --bmc1_max_bound_default -1
% 5.95/6.24 % --bmc1_symbol_reachability true
% 5.95/6.24 % --bmc1_property_lemmas false
% 5.95/6.24 % --bmc1_k_induction false
% 5.95/6.24 % --bmc1_non_equiv_states false
% 5.95/6.24 % --bmc1_deadlock false
% 5.95/6.24 % --bmc1_ucm false
% 5.95/6.24 % --bmc1_add_unsat_core none
% 5.95/6.24 % --bmc1_unsat_core_children false
% 5.95/6.24 % --bmc1_unsat_core_extrapolate_axioms false
% 5.95/6.24 % --bmc1_out_stat full
% 5.95/6.24 % --bmc1_ground_init false
% 5.95/6.24 % --bmc1_pre_inst_next_state false
% 5.95/6.24 % --bmc1_pre_inst_state false
% 5.95/6.24 % --bmc1_pre_inst_reach_state false
% 5.95/6.24 % --bmc1_out_unsat_core false
% 5.95/6.24 % --bmc1_aig_witness_out false
% 5.95/6.24 % --bmc1_verbose false
% 5.95/6.24 % --bmc1_dump_clauses_tptp false
% 5.95/6.24 % --bmc1_dump_unsat_core_tptp false
% 5.95/6.24 % --bmc1_dump_file -
% 5.95/6.24 % --bmc1_ucm_expand_uc_limit 128
% 5.95/6.24 % --bmc1_ucm_n_expand_iterations 6
% 150.25/150.52 % --bmc1_ucm_extend_mode 1
% 150.25/150.52 % --bmc1_ucm_init_mode 2
% 150.25/150.52 % --bmc1_ucm_cone_mode none
% 150.25/150.52 % --bmc1_ucm_reduced_relation_type 0
% 150.25/150.52 % --bmc1_ucm_relax_model 4
% 150.25/150.52 % --bmc1_ucm_full_tr_after_sat true
% 150.25/150.52 % --bmc1_ucm_expand_neg_assumptions false
% 150.25/150.52 % --bmc1_ucm_layered_model none
% 150.25/150.52 % --bmc1_ucm_max_lemma_size 10
% 150.25/150.52
% 150.25/150.52 % ------ AIG Options
% 150.25/150.52
% 150.25/150.52 % --aig_mode false
% 150.25/150.52
% 150.25/150.52 % ------ Instantiation Options
% 150.25/150.52
% 150.25/150.52 % --instantiation_flag true
% 150.25/150.52 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.25/150.52 % --inst_solver_per_active 750
% 150.25/150.52 % --inst_solver_calls_frac 0.5
% 150.25/150.52 % --inst_passive_queue_type priority_queues
% 150.25/150.52 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.25/150.52 % --inst_passive_queues_freq [25;2]
% 150.25/150.52 % --inst_dismatching true
% 150.25/150.52 % --inst_eager_unprocessed_to_passive true
% 150.25/150.52 % --inst_prop_sim_given true
% 150.25/150.52 % --inst_prop_sim_new false
% 150.25/150.52 % --inst_orphan_elimination true
% 150.25/150.52 % --inst_learning_loop_flag true
% 150.25/150.52 % --inst_learning_start 3000
% 150.25/150.52 % --inst_learning_factor 2
% 150.25/150.52 % --inst_start_prop_sim_after_learn 3
% 150.25/150.52 % --inst_sel_renew solver
% 150.25/150.52 % --inst_lit_activity_flag true
% 150.25/150.52 % --inst_out_proof true
% 150.25/150.52
% 150.25/150.52 % ------ Resolution Options
% 150.25/150.52
% 150.25/150.52 % --resolution_flag true
% 150.25/150.52 % --res_lit_sel kbo_max
% 150.25/150.52 % --res_to_prop_solver none
% 150.25/150.52 % --res_prop_simpl_new false
% 150.25/150.52 % --res_prop_simpl_given false
% 150.25/150.52 % --res_passive_queue_type priority_queues
% 150.25/150.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.25/150.52 % --res_passive_queues_freq [15;5]
% 150.25/150.52 % --res_forward_subs full
% 150.25/150.52 % --res_backward_subs full
% 150.25/150.52 % --res_forward_subs_resolution true
% 150.25/150.52 % --res_backward_subs_resolution true
% 150.25/150.52 % --res_orphan_elimination false
% 150.25/150.52 % --res_time_limit 1000.
% 150.25/150.52 % --res_out_proof true
% 150.25/150.52 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aad351.s
% 150.25/150.52 % --modulo true
% 150.25/150.52
% 150.25/150.52 % ------ Combination Options
% 150.25/150.52
% 150.25/150.52 % --comb_res_mult 1000
% 150.25/150.52 % --comb_inst_mult 300
% 150.25/150.52 % ------
% 150.25/150.52
% 150.25/150.52
% 150.25/150.52
% 150.25/150.52 % ------ Proving...
% 150.25/150.52 %
% 150.25/150.52
% 150.25/150.52
% 150.25/150.52 % Time Out Real
% 150.25/150.52
% 150.25/150.52 % ------ Statistics
% 150.25/150.52
% 150.25/150.52 % ------ General
% 150.25/150.52
% 150.25/150.52 % num_of_input_clauses: 841
% 150.25/150.52 % num_of_input_neg_conjectures: 1
% 150.25/150.52 % num_of_splits: 0
% 150.25/150.52 % num_of_split_atoms: 0
% 150.25/150.52 % num_of_sem_filtered_clauses: 0
% 150.25/150.52 % num_of_subtypes: 0
% 150.25/150.52 % monotx_restored_types: 0
% 150.25/150.52 % sat_num_of_epr_types: 0
% 150.25/150.52 % sat_num_of_non_cyclic_types: 0
% 150.25/150.52 % sat_guarded_non_collapsed_types: 0
% 150.25/150.52 % is_epr: 0
% 150.25/150.52 % is_horn: 0
% 150.25/150.52 % has_eq: 1
% 150.25/150.52 % num_pure_diseq_elim: 0
% 150.25/150.52 % simp_replaced_by: 3
% 150.25/150.52 % res_preprocessed: 2
% 150.25/150.52 % prep_upred: 0
% 150.25/150.52 % prep_unflattend: 0
% 150.25/150.52 % pred_elim_cands: 0
% 150.25/150.52 % pred_elim: 0
% 150.25/150.52 % pred_elim_cl: 0
% 150.25/150.52 % pred_elim_cycles: 0
% 150.25/150.52 % forced_gc_time: 0
% 150.25/150.52 % gc_basic_clause_elim: 0
% 150.25/150.52 % parsing_time: 0.048
% 150.25/150.52 % sem_filter_time: 0.
% 150.25/150.52 % pred_elim_time: 0.
% 150.25/150.52 % out_proof_time: 0.
% 150.25/150.52 % monotx_time: 0.
% 150.25/150.52 % subtype_inf_time: 0.
% 150.25/150.52 % unif_index_cands_time: 0.539
% 150.25/150.52 % unif_index_add_time: 0.269
% 150.25/150.52 % total_time: 150.016
% 150.25/150.52 % num_of_symbols: 128
% 150.25/150.52 % num_of_terms: 4113451
% 150.25/150.54
% 150.25/150.54 % ------ Propositional Solver
% 150.25/150.54
% 150.25/150.54 % prop_solver_calls: 39
% 150.25/150.54 % prop_fast_solver_calls: 3
% 150.25/150.54 % prop_num_of_clauses: 152031
% 150.25/150.54 % prop_preprocess_simplified: 368995
% 150.25/150.54 % prop_fo_subsumed: 0
% 150.25/150.54 % prop_solver_time: 0.122
% 150.25/150.54 % prop_fast_solver_time: 0.
% 150.25/150.54 % prop_unsat_core_time: 0.
% 150.25/150.54
% 150.25/150.54 % ------ QBF
% 150.25/150.54
% 150.25/150.54 % qbf_q_res: 0
% 150.25/150.54 % qbf_num_tautologies: 0
% 150.25/150.54 % qbf_prep_cycles: 0
% 150.25/150.54
% 150.25/150.54 % ------ BMC1
% 150.25/150.54
% 150.25/150.54 % bmc1_current_bound: -1
% 150.25/150.54 % bmc1_last_solved_bound: -1
% 150.25/150.54 % bmc1_unsat_core_size: -1
% 150.25/150.54 % bmc1_unsat_core_parents_size: -1
% 150.25/150.54 % bmc1_merge_next_fun: 0
% 150.25/150.54 % bmc1_unsat_core_clauses_time: 0.
% 150.25/150.54
% 150.25/150.54 % ------ Instantiation
% 150.25/150.54
% 150.25/150.54 % inst_num_of_clauses: 40985
% 150.25/150.54 % inst_num_in_passive: 25505
% 150.25/150.54 % inst_num_in_active: 3711
% 150.25/150.54 % inst_num_in_unprocessed: 11714
% 150.25/150.54 % inst_num_of_loops: 3873
% 150.25/150.54 % inst_num_of_learning_restarts: 2
% 150.25/150.54 % inst_num_moves_active_passive: 106
% 150.25/150.54 % inst_lit_activity: 35841
% 150.25/150.54 % inst_lit_activity_moves: 1
% 150.25/150.54 % inst_num_tautologies: 54
% 150.25/150.54 % inst_num_prop_implied: 0
% 150.25/150.54 % inst_num_existing_simplified: 0
% 150.25/150.54 % inst_num_eq_res_simplified: 0
% 150.25/150.54 % inst_num_child_elim: 0
% 150.25/150.54 % inst_num_of_dismatching_blockings: 1731
% 150.25/150.54 % inst_num_of_non_proper_insts: 22526
% 150.25/150.54 % inst_num_of_duplicates: 60593
% 150.25/150.54 % inst_inst_num_from_inst_to_res: 0
% 150.25/150.54 % inst_dismatching_checking_time: 21.6
% 150.25/150.54
% 150.25/150.54 % ------ Resolution
% 150.25/150.54
% 150.25/150.54 % res_num_of_clauses: 657009
% 150.25/150.54 % res_num_in_passive: 625410
% 150.25/150.54 % res_num_in_active: 31072
% 150.25/150.54 % res_num_of_loops: 43000
% 150.25/150.54 % res_forward_subset_subsumed: 20486
% 150.25/150.54 % res_backward_subset_subsumed: 11
% 150.25/150.54 % res_forward_subsumed: 12151
% 150.25/150.54 % res_backward_subsumed: 87
% 150.25/150.54 % res_forward_subsumption_resolution: 40
% 150.25/150.54 % res_backward_subsumption_resolution: 2
% 150.25/150.54 % res_clause_to_clause_subsumption: 258292
% 150.25/150.54 % res_orphan_elimination: 0
% 150.25/150.54 % res_tautology_del: 646
% 150.25/150.54 % res_num_eq_res_simplified: 0
% 150.25/150.54 % res_num_sel_changes: 0
% 150.25/150.54 % res_moves_from_active_to_pass: 0
% 150.25/150.54
% 150.25/150.54 % Status Unknown
% 150.34/150.66 % Orienting using strategy ClausalAll
% 150.34/150.66 % Orientation found
% 150.34/150.66 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aad351.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_c2faff.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_52c179 | grep -v "SZS"
% 150.34/150.68
% 150.34/150.68 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.34/150.68
% 150.34/150.68 %
% 150.34/150.68 % ------ iProver source info
% 150.34/150.68
% 150.34/150.68 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.34/150.68 % git: non_committed_changes: true
% 150.34/150.68 % git: last_make_outside_of_git: true
% 150.34/150.68
% 150.34/150.68 %
% 150.34/150.68 % ------ Input Options
% 150.34/150.68
% 150.34/150.68 % --out_options all
% 150.34/150.68 % --tptp_safe_out true
% 150.34/150.68 % --problem_path ""
% 150.34/150.68 % --include_path ""
% 150.34/150.68 % --clausifier .//eprover
% 150.34/150.68 % --clausifier_options --tstp-format
% 150.34/150.68 % --stdin false
% 150.34/150.68 % --dbg_backtrace false
% 150.34/150.68 % --dbg_dump_prop_clauses false
% 150.34/150.68 % --dbg_dump_prop_clauses_file -
% 150.34/150.68 % --dbg_out_stat false
% 150.34/150.68
% 150.34/150.68 % ------ General Options
% 150.34/150.68
% 150.34/150.68 % --fof false
% 150.34/150.68 % --time_out_real 150.
% 150.34/150.68 % --time_out_prep_mult 0.2
% 150.34/150.68 % --time_out_virtual -1.
% 150.34/150.68 % --schedule none
% 150.34/150.68 % --ground_splitting input
% 150.34/150.68 % --splitting_nvd 16
% 150.34/150.68 % --non_eq_to_eq false
% 150.34/150.68 % --prep_gs_sim true
% 150.34/150.68 % --prep_unflatten false
% 150.34/150.68 % --prep_res_sim true
% 150.34/150.68 % --prep_upred true
% 150.34/150.68 % --res_sim_input true
% 150.34/150.68 % --clause_weak_htbl true
% 150.34/150.68 % --gc_record_bc_elim false
% 150.34/150.68 % --symbol_type_check false
% 150.34/150.68 % --clausify_out false
% 150.34/150.68 % --large_theory_mode false
% 150.34/150.68 % --prep_sem_filter none
% 150.34/150.68 % --prep_sem_filter_out false
% 150.34/150.68 % --preprocessed_out false
% 150.34/150.68 % --sub_typing false
% 150.34/150.68 % --brand_transform false
% 150.34/150.68 % --pure_diseq_elim true
% 150.34/150.68 % --min_unsat_core false
% 150.34/150.68 % --pred_elim true
% 150.34/150.68 % --add_important_lit false
% 150.34/150.68 % --soft_assumptions false
% 150.34/150.68 % --reset_solvers false
% 150.34/150.68 % --bc_imp_inh []
% 150.34/150.68 % --conj_cone_tolerance 1.5
% 150.34/150.68 % --prolific_symb_bound 500
% 150.34/150.68 % --lt_threshold 2000
% 150.34/150.68
% 150.34/150.68 % ------ SAT Options
% 150.34/150.68
% 150.34/150.68 % --sat_mode false
% 150.34/150.68 % --sat_fm_restart_options ""
% 150.34/150.68 % --sat_gr_def false
% 150.34/150.68 % --sat_epr_types true
% 150.34/150.68 % --sat_non_cyclic_types false
% 150.34/150.68 % --sat_finite_models false
% 150.34/150.68 % --sat_fm_lemmas false
% 150.34/150.68 % --sat_fm_prep false
% 150.34/150.68 % --sat_fm_uc_incr true
% 150.34/150.68 % --sat_out_model small
% 150.34/150.68 % --sat_out_clauses false
% 150.34/150.68
% 150.34/150.68 % ------ QBF Options
% 150.34/150.68
% 150.34/150.68 % --qbf_mode false
% 150.34/150.68 % --qbf_elim_univ true
% 150.34/150.68 % --qbf_sk_in true
% 150.34/150.68 % --qbf_pred_elim true
% 150.34/150.68 % --qbf_split 32
% 150.34/150.68
% 150.34/150.68 % ------ BMC1 Options
% 150.34/150.68
% 150.34/150.68 % --bmc1_incremental false
% 150.34/150.68 % --bmc1_axioms reachable_all
% 150.34/150.68 % --bmc1_min_bound 0
% 150.34/150.68 % --bmc1_max_bound -1
% 150.34/150.68 % --bmc1_max_bound_default -1
% 150.34/150.68 % --bmc1_symbol_reachability true
% 150.34/150.68 % --bmc1_property_lemmas false
% 150.34/150.68 % --bmc1_k_induction false
% 150.34/150.68 % --bmc1_non_equiv_states false
% 150.34/150.68 % --bmc1_deadlock false
% 150.34/150.68 % --bmc1_ucm false
% 150.34/150.68 % --bmc1_add_unsat_core none
% 150.34/150.68 % --bmc1_unsat_core_children false
% 150.34/150.68 % --bmc1_unsat_core_extrapolate_axioms false
% 150.34/150.68 % --bmc1_out_stat full
% 150.34/150.68 % --bmc1_ground_init false
% 150.34/150.68 % --bmc1_pre_inst_next_state false
% 150.34/150.68 % --bmc1_pre_inst_state false
% 150.34/150.68 % --bmc1_pre_inst_reach_state false
% 150.34/150.68 % --bmc1_out_unsat_core false
% 150.34/150.68 % --bmc1_aig_witness_out false
% 150.34/150.68 % --bmc1_verbose false
% 150.34/150.68 % --bmc1_dump_clauses_tptp false
% 155.43/155.71 % --bmc1_dump_unsat_core_tptp false
% 155.43/155.71 % --bmc1_dump_file -
% 155.43/155.71 % --bmc1_ucm_expand_uc_limit 128
% 155.43/155.71 % --bmc1_ucm_n_expand_iterations 6
% 155.43/155.71 % --bmc1_ucm_extend_mode 1
% 155.43/155.71 % --bmc1_ucm_init_mode 2
% 155.43/155.71 % --bmc1_ucm_cone_mode none
% 155.43/155.71 % --bmc1_ucm_reduced_relation_type 0
% 155.43/155.71 % --bmc1_ucm_relax_model 4
% 155.43/155.71 % --bmc1_ucm_full_tr_after_sat true
% 155.43/155.71 % --bmc1_ucm_expand_neg_assumptions false
% 155.43/155.71 % --bmc1_ucm_layered_model none
% 155.43/155.71 % --bmc1_ucm_max_lemma_size 10
% 155.43/155.71
% 155.43/155.71 % ------ AIG Options
% 155.43/155.71
% 155.43/155.71 % --aig_mode false
% 155.43/155.71
% 155.43/155.71 % ------ Instantiation Options
% 155.43/155.71
% 155.43/155.71 % --instantiation_flag true
% 155.43/155.71 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 155.43/155.71 % --inst_solver_per_active 750
% 155.43/155.71 % --inst_solver_calls_frac 0.5
% 155.43/155.71 % --inst_passive_queue_type priority_queues
% 155.43/155.71 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 155.43/155.71 % --inst_passive_queues_freq [25;2]
% 155.43/155.71 % --inst_dismatching true
% 155.43/155.71 % --inst_eager_unprocessed_to_passive true
% 155.43/155.71 % --inst_prop_sim_given true
% 155.43/155.71 % --inst_prop_sim_new false
% 155.43/155.71 % --inst_orphan_elimination true
% 155.43/155.71 % --inst_learning_loop_flag true
% 155.43/155.71 % --inst_learning_start 3000
% 155.43/155.71 % --inst_learning_factor 2
% 155.43/155.71 % --inst_start_prop_sim_after_learn 3
% 155.43/155.71 % --inst_sel_renew solver
% 155.43/155.71 % --inst_lit_activity_flag true
% 155.43/155.71 % --inst_out_proof true
% 155.43/155.71
% 155.43/155.71 % ------ Resolution Options
% 155.43/155.71
% 155.43/155.71 % --resolution_flag true
% 155.43/155.71 % --res_lit_sel kbo_max
% 155.43/155.71 % --res_to_prop_solver none
% 155.43/155.71 % --res_prop_simpl_new false
% 155.43/155.71 % --res_prop_simpl_given false
% 155.43/155.71 % --res_passive_queue_type priority_queues
% 155.43/155.71 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 155.43/155.71 % --res_passive_queues_freq [15;5]
% 155.43/155.71 % --res_forward_subs full
% 155.43/155.71 % --res_backward_subs full
% 155.43/155.71 % --res_forward_subs_resolution true
% 155.43/155.71 % --res_backward_subs_resolution true
% 155.43/155.71 % --res_orphan_elimination false
% 155.43/155.71 % --res_time_limit 1000.
% 155.43/155.71 % --res_out_proof true
% 155.43/155.71 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_aad351.s
% 155.43/155.71 % --modulo true
% 155.43/155.71
% 155.43/155.71 % ------ Combination Options
% 155.43/155.71
% 155.43/155.71 % --comb_res_mult 1000
% 155.43/155.71 % --comb_inst_mult 300
% 155.43/155.71 % ------
% 155.43/155.71
% 155.43/155.71 % ------ Parsing...% successful
% 155.43/155.71
% 155.43/155.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 155.43/155.71
% 155.43/155.71 % ------ Proving...
% 155.43/155.71 % ------ Problem Properties
% 155.43/155.71
% 155.43/155.71 %
% 155.43/155.71 % EPR false
% 155.43/155.71 % Horn false
% 155.43/155.71 % Has equality true
% 155.43/155.71
% 155.43/155.71 % % ------ Input Options Time Limit: Unbounded
% 155.43/155.71
% 155.43/155.71
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 Compiling...
% 155.43/155.71 Loading plugin: done.
% 155.43/155.71 %
% 155.43/155.71
% 155.43/155.71
% 155.43/155.71 % Resolution empty clause
% 155.43/155.71
% 155.43/155.71 % ------ Statistics
% 155.43/155.71
% 155.43/155.71 % ------ General
% 155.43/155.71
% 155.43/155.71 % num_of_input_clauses: 841
% 155.43/155.71 % num_of_input_neg_conjectures: 1
% 155.43/155.71 % num_of_splits: 0
% 155.43/155.71 % num_of_split_atoms: 0
% 155.43/155.71 % num_of_sem_filtered_clauses: 0
% 155.43/155.71 % num_of_subtypes: 0
% 155.43/155.71 % monotx_restored_types: 0
% 155.43/155.71 % sat_num_of_epr_types: 0
% 155.43/155.71 % sat_num_of_non_cyclic_types: 0
% 155.43/155.71 % sat_guarded_non_collapsed_types: 0
% 155.43/155.71 % is_epr: 0
% 155.43/155.71 % is_horn: 0
% 155.43/155.71 % has_eq: 1
% 155.43/155.71 % num_pure_diseq_elim: 0
% 155.43/155.71 % simp_replaced_by: 0
% 155.43/155.71 % res_preprocessed: 2
% 155.43/155.71 % prep_upred: 0
% 155.43/155.71 % prep_unflattend: 0
% 155.43/155.71 % pred_elim_cands: 0
% 155.43/155.71 % pred_elim: 0
% 155.43/155.71 % pred_elim_cl: 0
% 155.43/155.71 % pred_elim_cycles: 0
% 155.43/155.71 % forced_gc_time: 0
% 155.43/155.71 % gc_basic_clause_elim: 0
% 155.43/155.71 % parsing_time: 0.023
% 155.43/155.71 % sem_filter_time: 0.
% 155.43/155.71 % pred_elim_time: 0.
% 155.43/155.71 % out_proof_time: 0.
% 155.43/155.71 % monotx_time: 0.
% 155.43/155.71 % subtype_inf_time: 0.
% 155.43/155.71 % unif_index_cands_time: 0.
% 155.43/155.71 % unif_index_add_time: 0.
% 155.43/155.71 % total_time: 5.04
% 155.43/155.71 % num_of_symbols: 128
% 155.43/155.71 % num_of_terms: 2864
% 155.43/155.71
% 155.43/155.71 % ------ Propositional Solver
% 155.43/155.71
% 155.43/155.71 % prop_solver_calls: 1
% 155.43/155.71 % prop_fast_solver_calls: 3
% 155.43/155.71 % prop_num_of_clauses: 958
% 155.43/155.71 % prop_preprocess_simplified: 2388
% 155.43/155.71 % prop_fo_subsumed: 0
% 155.43/155.71 % prop_solver_time: 0.
% 155.43/155.71 % prop_fast_solver_time: 0.
% 155.43/155.71 % prop_unsat_core_time: 0.
% 155.43/155.71
% 155.43/155.71 % ------ QBF
% 155.43/155.71
% 155.43/155.71 % qbf_q_res: 0
% 155.43/155.71 % qbf_num_tautologies: 0
% 155.43/155.71 % qbf_prep_cycles: 0
% 155.43/155.71
% 155.43/155.71 % ------ BMC1
% 155.43/155.71
% 155.43/155.71 % bmc1_current_bound: -1
% 155.43/155.71 % bmc1_last_solved_bound: -1
% 155.43/155.71 % bmc1_unsat_core_size: -1
% 155.43/155.71 % bmc1_unsat_core_parents_size: -1
% 155.43/155.71 % bmc1_merge_next_fun: 0
% 155.43/155.71 % bmc1_unsat_core_clauses_time: 0.
% 155.43/155.71
% 155.43/155.71 % ------ Instantiation
% 155.43/155.71
% 155.43/155.71 % inst_num_of_clauses: 778
% 155.43/155.71 % inst_num_in_passive: 0
% 155.43/155.71 % inst_num_in_active: 0
% 155.43/155.71 % inst_num_in_unprocessed: 841
% 155.43/155.71 % inst_num_of_loops: 0
% 155.43/155.71 % inst_num_of_learning_restarts: 0
% 155.43/155.71 % inst_num_moves_active_passive: 0
% 155.43/155.71 % inst_lit_activity: 0
% 155.43/155.71 % inst_lit_activity_moves: 0
% 155.43/155.71 % inst_num_tautologies: 0
% 155.43/155.71 % inst_num_prop_implied: 0
% 155.43/155.71 % inst_num_existing_simplified: 0
% 155.43/155.71 % inst_num_eq_res_simplified: 0
% 155.43/155.71 % inst_num_child_elim: 0
% 155.43/155.71 % inst_num_of_dismatching_blockings: 0
% 155.43/155.71 % inst_num_of_non_proper_insts: 0
% 155.43/155.71 % inst_num_of_duplicates: 0
% 155.43/155.71 % inst_inst_num_from_inst_to_res: 0
% 155.43/155.71 % inst_dismatching_checking_time: 0.
% 155.43/155.71
% 155.43/155.71 % ------ Resolution
% 155.43/155.71
% 155.43/155.71 % res_num_of_clauses: 839
% 155.43/155.71 % res_num_in_passive: 0
% 155.43/155.71 % res_num_in_active: 317
% 155.43/155.71 % res_num_of_loops: 0
% 155.43/155.71 % res_forward_subset_subsumed: 394
% 155.43/155.71 % res_backward_subset_subsumed: 0
% 155.43/155.71 % res_forward_subsumed: 0
% 155.43/155.71 % res_backward_subsumed: 0
% 155.43/155.71 % res_forward_subsumption_resolution: 0
% 155.43/155.71 % res_backward_subsumption_resolution: 0
% 155.43/155.71 % res_clause_to_clause_subsumption: 0
% 155.43/155.71 % res_orphan_elimination: 0
% 155.43/155.71 % res_tautology_del: 0
% 155.43/155.71 % res_num_eq_res_simplified: 0
% 155.43/155.71 % res_num_sel_changes: 0
% 155.43/155.71 % res_moves_from_active_to_pass: 0
% 155.43/155.71
% 155.43/155.71 % Status Unsatisfiable
% 155.43/155.71 % SZS status Unsatisfiable
% 155.43/155.71 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------