%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV779-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:27:23 PM UTC 2026
% Result : Unsatisfiable 0.43s 1.67s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_443)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_initState__subset__knows_0,axiom,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
cnf(cls_list_Osplit__asm_1,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X3,X4),X5)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_OCons(X4,X5,t_b),t_a,t_b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osplit__asm_1) ).
cnf(cls_list_Osplit_1,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X3,X4),X5)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_OCons(X4,X5,t_b),t_a,t_b))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osplit_1) ).
cnf(cls_agent_Osplit__asm_1,axiom,
( hBOOL(hAPP(X1,hAPP(X3,X5)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OFriend(X5),t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_1) ).
cnf(cls_agent_Osplit_1,axiom,
( hBOOL(hAPP(X1,hAPP(X3,X5)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OFriend(X5),t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_1) ).
cnf(cls_list_Osplit_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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osplit_0) ).
cnf(cls_agent_Osplit_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OServer,t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_0) ).
cnf(cls_agent_Osplit_2,axiom,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OSpy,t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_2) ).
cnf(cls_agent_Osplit__asm_10,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_10) ).
cnf(cls_agent_Osplit_10,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_10) ).
cnf(cls_agent_Osplit__asm_6,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_6) ).
cnf(cls_agent_Osplit_6,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_6) ).
cnf(cls_agent_Osplit__asm_9,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_9) ).
cnf(cls_agent_Osplit_9,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_9) ).
cnf(cls_agent_Osplit__asm_5,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_5) ).
cnf(cls_agent_Osplit_5,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_5) ).
cnf(cls_list__all2__append2_5,axiom,
( c_List_Olist__all2(X7,c_List_Oappend(X5,X1,X2),c_List_Oappend(X6,X3,X4),X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X7,X1,X3,X2,X4)
| ~ c_List_Olist__all2(X7,X5,X6,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append2_5) ).
cnf(cls_list__all2__append1_5,axiom,
( c_List_Olist__all2(X7,c_List_Oappend(X6,X3,X4),c_List_Oappend(X5,X1,X2),X4,X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X7,X3,X1,X4,X2)
| ~ c_List_Olist__all2(X7,X6,X5,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append1_5) ).
cnf(cls_list__all2__append_2,axiom,
( c_List_Olist__all2(X5,c_List_Oappend(X1,X6,X2),c_List_Oappend(X3,X7,X4),X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,X6,X7,X2,X4)
| ~ c_List_Olist__all2(X5,X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append_2) ).
cnf(cls_list__all2__appendI_0,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_List_Olist__all2(X1,X2,X5,X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__appendI_0) ).
cnf(cls_agent_Osplit__asm_8,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_8) ).
cnf(cls_agent_Osplit_8,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_8) ).
cnf(cls_agent_Osplit__asm_4,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_4) ).
cnf(cls_agent_Osplit_4,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_4) ).
cnf(cls_agent_Osplit__asm_7,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_7) ).
cnf(cls_agent_Osplit_7,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_7) ).
cnf(cls_agent_Osplit__asm_3,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit__asm_3) ).
cnf(cls_agent_Osplit_3,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osplit_3) ).
cnf(cls_foldr__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr__append_0) ).
cnf(cls_foldl__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__append_0) ).
cnf(cls_agent_Ocase__cong_2,axiom,
( X2 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X2,X4)
| X2 = c_Message_Oagent_OSpy
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_2) ).
cnf(cls_agent_Ocase__cong_3,axiom,
( X2 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X7,X3,X6,X2,X4)
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_3) ).
cnf(cls_agent_Ocase__cong_6,axiom,
( c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X2,X4)
| X2 = c_Message_Oagent_OSpy
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_6) ).
cnf(cls_agent_Ocase__cong_7,axiom,
( c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X5,X3,X6,X2,X4)
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_7) ).
cnf(cls_list_Orecs_I2_J_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Orecs_I2_J_0) ).
cnf(cls_foldr_Osimps_I2_J_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr_Osimps_I2_J_0) ).
cnf(cls_list__all2__append_0,axiom,
( c_List_Olist__all2(X5,X1,X3,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,c_List_Oappend(X1,X6,X2),c_List_Oappend(X3,X7,X4),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append_0) ).
cnf(cls_list__all2__append_1,axiom,
( c_List_Olist__all2(X5,X6,X7,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,c_List_Oappend(X1,X6,X2),c_List_Oappend(X3,X7,X4),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__append_1) ).
cnf(cls_list__all2__Cons2_3,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)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons2_3) ).
cnf(cls_list__all2__Cons1_3,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)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons1_3) ).
cnf(cls_list__all2__Cons_2,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)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons_2) ).
cnf(cls_list__all2__Cons_1,axiom,
( c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X6,X2,X4),c_List_Olist_OCons(X7,X3,X5),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons_1) ).
cnf(cls_list__all2__takeI_0,axiom,
( c_List_Olist__all2(X1,c_List_Otake(X2,X3,X4),c_List_Otake(X2,X5,X6),X4,X6)
| ~ c_List_Olist__all2(X1,X3,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__takeI_0) ).
cnf(cls_list__all2__dropI_0,axiom,
( c_List_Olist__all2(X1,c_List_Odrop(X2,X3,X4),c_List_Odrop(X2,X5,X6),X4,X6)
| ~ c_List_Olist__all2(X1,X3,X5,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__dropI_0) ).
cnf(cls_list__all2__rev_0,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__rev_0) ).
cnf(cls_list__all2__rev1_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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__rev1_1) ).
cnf(cls_list__all2__rev1_0,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__rev1_0) ).
cnf(cls_list__all2__rev_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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__rev_1) ).
cnf(cls_agent_Ocase__cong_0,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X4,X5)
| X4 = c_Message_Oagent_OSpy
| X4 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5))
| X4 = c_Message_Oagent_OServer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_0) ).
cnf(cls_agent_Ocase__cong_1,axiom,
( X1 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4))
| X1 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X6,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_1) ).
cnf(cls_agent_Ocase__cong_4,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X7,X4,X5)
| X4 = c_Message_Oagent_OSpy
| X4 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_4) ).
cnf(cls_agent_Ocase__cong_5,axiom,
( X1 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4))
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X6,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Ocase__cong_5) ).
cnf(cls_foldl__Cons_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Cons_0) ).
cnf(cls_fun__upds__append__drop_0,axiom,
( c_Map_Omap__upds(X5,c_List_Oappend(X1,X6,X2),X3,X2,X4) = c_Map_Omap__upds(X5,X1,X3,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upds__append__drop_0) ).
cnf(cls_fun__upds__append2__drop_0,axiom,
( c_Map_Omap__upds(X5,X1,c_List_Oappend(X3,X6,X4),X2,X4) = c_Map_Omap__upds(X5,X1,X3,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upds__append2__drop_0) ).
cnf(cls_list__all2__Cons_0,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X5),c_List_Olist_OCons(X3,X6,X7),X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Cons_0) ).
cnf(cls_append__eq__append__conv__if_6,axiom,
( c_List_Oappend(X3,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) = c_List_Oappend(X1,X4,X2)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) != X4
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| X3 != c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_6) ).
cnf(cls_list__all2__def_0,axiom,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__def_0) ).
cnf(cls_list__all2__Nil_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Olist__all2(X3,c_List_Olist_ONil(X4),X1,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Nil_0) ).
cnf(cls_list__all2__Nil2_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Olist__all2(X3,X1,c_List_Olist_ONil(X4),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Nil2_0) ).
cnf(cls_list__all2__eq_1,axiom,
( X1 = X2
| ~ c_List_Olist__all2(c_fequal(X3),X1,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).
cnf(cls_map__update_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__update_0) ).
cnf(cls_list__update__swap_0,axiom,
( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X5,X6,X4) = c_List_Olist__update(c_List_Olist__update(X1,X5,X6,X4),X2,X3,X4)
| X2 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__swap_0) ).
cnf(cls_map__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__append_0) ).
cnf(cls_list_Osimps_I5_J_0,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I5_J_0) ).
cnf(cls_rotate__rev_0,axiom,
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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__rev_0) ).
cnf(cls_set__update__subset__insert_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__update__subset__insert_0) ).
cnf(cls_agent_Orecs_I2_J_0,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Orecs_I2_J_0) ).
cnf(cls_agent_Osimps_I9_J_0,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I9_J_0) ).
cnf(cls_list__all2__Nil_1,axiom,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__Nil_1) ).
cnf(cls_map__upds__Nil1_0,axiom,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upds__Nil1_0) ).
cnf(cls_foldr_Osimps_I1_J_0,axiom,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldr_Osimps_I1_J_0) ).
cnf(cls_list_Orecs_I1_J_0,axiom,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Orecs_I1_J_0) ).
cnf(cls_map__upds__Nil2_0,axiom,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__upds__Nil2_0) ).
cnf(cls_list_Osimps_I4_J_0,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I4_J_0) ).
cnf(cls_foldl__Nil_0,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).
cnf(cls_list__all2__eq_0,axiom,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).
cnf(cls_agent_Orecs_I1_J_0,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Orecs_I1_J_0) ).
cnf(cls_agent_Orecs_I3_J_0,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Orecs_I3_J_0) ).
cnf(cls_agent_Osimps_I8_J_0,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I8_J_0) ).
cnf(cls_agent_Osimps_I10_J_0,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I10_J_0) ).
cnf(cls_distinct__map_1,axiom,
( c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__map_1) ).
cnf(cls_rotate__drop__take_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__drop__take_0) ).
cnf(cls_list__update__overwrite_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__overwrite_0) ).
cnf(cls_listrelp_OCons_0,axiom,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
| ~ c_List_Olistrelp(X1,X3,X6,X4)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listrelp_OCons_0) ).
cnf(cls_distinct__map_2,axiom,
( c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__map_2) ).
cnf(cls_append__eq__append__conv__if_5,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)
| 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_5) ).
cnf(cls_Cons__eq__map__conv_3,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__map__conv_3) ).
cnf(cls_map_Osimps_I2_J_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map_Osimps_I2_J_0) ).
cnf(cls_map__eq__Cons__conv_3,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__eq__Cons__conv_3) ).
cnf(cls_rotate__map_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__map_0) ).
cnf(cls_take__map_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_take__map_0) ).
cnf(cls_drop__map_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__map_0) ).
cnf(cls_hd__dropWhile_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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__dropWhile_0) ).
cnf(cls_append__eq__append__conv__if_4,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X3,X4,X2) = 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_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_4) ).
cnf(cls_spies__Says__rev_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Says__rev_0) ).
cnf(cls_map__eq__imp__length__eq_0,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X5,tc_List_Olist(X3))
| c_List_Omap(X1,X2,X3,X4) != c_List_Omap(X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__eq__imp__length__eq_0) ).
cnf(cls_distinct__map_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__map_0) ).
cnf(cls_setsum__set__distinct__conv__listsum_0,axiom,
( c_Finite__Set_Osetsum(X2,c_List_Oset(X3,X4),X4,X1) = c_List_Olistsum(c_List_Omap(X2,X3,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_List_Odistinct(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_setsum__set__distinct__conv__listsum_0) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_rev__map_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__map_0) ).
cnf(cls_take__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_take__append_0) ).
cnf(cls_drop__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__append_0) ).
cnf(cls_list__update__length_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__length_0) ).
cnf(cls_knows__subset__knows__Says_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
cnf(cls_subset__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_mod__diff__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__diff__eq_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Says_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
cnf(cls_mod__diff__cong_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)
| ~ class_Divides_Oring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__diff__cong_0) ).
cnf(cls_sorted_Osimps_I3_J_1,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X4,c_List_Olist_OCons(X2,X3,X1),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_1) ).
cnf(cls_replicate__app__Cons__same_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_replicate__app__Cons__same_0) ).
cnf(cls_le__diff__iff_0,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)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__diff__iff_0) ).
cnf(cls_sorted_Osimps_I3_J_2,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X4,X1),X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_2) ).
cnf(cls_append__eq__append__conv__if_1,axiom,
( X2 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X4,X3),X5,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X5,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_1) ).
cnf(cls_sorted_Osimps_I3_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_0) ).
cnf(cls_append1__eq__conv_0,axiom,
( X1 = X4
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).
cnf(cls_append1__eq__conv_1,axiom,
( X2 = X5
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).
cnf(cls_mod__diff__left__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__diff__left__eq_0) ).
cnf(cls_mod__diff__right__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__diff__right__eq_0) ).
cnf(cls_append__eq__append__conv__if_3,axiom,
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3) = X5
| 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(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_3) ).
cnf(cls_impossible__Cons_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_impossible__Cons_0) ).
cnf(cls_last_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last_Oinduct_1) ).
cnf(cls_listsum_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsum_Oinduct_1) ).
cnf(cls_distinct_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Oinduct_1) ).
cnf(cls_remove1_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Oinduct_1) ).
cnf(cls_listset_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listset_Oinduct_1) ).
cnf(cls_zip_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zip_Oinduct_1) ).
cnf(cls_dropWhile_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Oinduct_1) ).
cnf(cls_takeWhile_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Oinduct_1) ).
cnf(cls_removeAll_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_removeAll_Oinduct_1) ).
cnf(cls_list__update_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update_Oinduct_1) ).
cnf(cls_list_Oinduct_1,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinduct_1) ).
cnf(cls_append__replicate__commute_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__replicate__commute_0) ).
cnf(cls_length__map_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__map_0) ).
cnf(cls_length__list__update_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__list__update_0) ).
cnf(cls_le__diff__iff_1,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__diff__iff_1) ).
cnf(cls_rev__eq__Cons__iff_1,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
cnf(cls_Nat_Odiff__diff__eq_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Odiff__diff__eq_0) ).
cnf(cls_append__eq__append__conv__if_0,axiom,
( X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X4,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X5,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_0) ).
cnf(cls_spies__Gets__rev_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Gets__rev_0) ).
cnf(cls_replicate__append__same_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_replicate__append__same_0) ).
cnf(cls_knows__subset__knows__Gets_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
cnf(cls_map__replicate_0,axiom,
c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5) = c_List_Oreplicate(X2,hAPP(X1,X3),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__replicate_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Gets_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
cnf(cls_filter__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__append_0) ).
cnf(cls_drop__take_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__take_0) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_knows__Says_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
cnf(cls_knows__Spy__Says_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
cnf(cls_list__update__nonempty_0,axiom,
( X1 = c_List_Olist_ONil(X4)
| c_List_Olist__update(X1,X2,X3,X4) != c_List_Olist_ONil(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__nonempty_0) ).
cnf(cls_map__is__Nil__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Omap(X1,X2,X3,X4) != c_List_Olist_ONil(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__is__Nil__conv_0) ).
cnf(cls_Nil__is__map__conv_0,axiom,
( X3 = c_List_Olist_ONil(X4)
| c_List_Olist_ONil(X1) != c_List_Omap(X2,X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_0) ).
cnf(cls_rev__take_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__take_0) ).
cnf(cls_rev__drop_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__drop_0) ).
cnf(cls_append__eq__append__conv__if_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(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_2) ).
cnf(cls_list__update__beyond_0,axiom,
( c_List_Olist__update(X1,X2,X3,X4) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__beyond_0) ).
cnf(cls_append__eq__conv__conj_2,axiom,
( 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__conv__conj_2) ).
cnf(cls_filter_Osimps_I2_J_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter_Osimps_I2_J_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
cnf(cls_last__snoc_0,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__snoc_0) ).
cnf(cls_butlast__snoc_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast__snoc_0) ).
cnf(cls_diff__le__mono2_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__mono2_0) ).
cnf(cls_diff__le__mono_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__mono_0) ).
cnf(cls_length__dropWhile__le_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__dropWhile__le_0) ).
cnf(cls_length__filter__le_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__filter__le_0) ).
cnf(cls_set__sublist__subset_0,axiom,
c_lessequals(c_List_Oset(c_List_Osublist(X1,X2,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__sublist__subset_0) ).
cnf(cls_set__remove1__subset_0,axiom,
c_lessequals(c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__remove1__subset_0) ).
cnf(cls_filter__is__subset_0,axiom,
c_lessequals(c_List_Oset(c_List_Ofilter(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__is__subset_0) ).
cnf(cls_set__take__subset_0,axiom,
c_lessequals(c_List_Oset(c_List_Otake(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__take__subset_0) ).
cnf(cls_set__drop__subset_0,axiom,
c_lessequals(c_List_Oset(c_List_Odrop(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__drop__subset_0) ).
cnf(cls_set__subset__Cons_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
cnf(cls_list__ex_Osimps_I2_J_0,axiom,
( c_List_Olist__ex(X1,X2,X3)
| hBOOL(hAPP(X1,X4))
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__ex_Osimps_I2_J_0) ).
cnf(cls_rev_Osimps_I2_J_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_0) ).
cnf(cls_eq__diff__iff_0,axiom,
( X1 = X3
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__diff__iff_0) ).
cnf(cls_append__in__listsp__conv_2,axiom,
( c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
| ~ c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__in__listsp__conv_2) ).
cnf(cls_list__all__append_2,axiom,
( c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4)
| ~ c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__append_2) ).
cnf(cls_knows__subset__knows__Cons_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
cnf(cls_rev__eq__Cons__iff_0,axiom,
( X2 = c_List_Oappend(hAPP(c_List_Orev(X1),X4),c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)
| hAPP(c_List_Orev(X1),X2) != c_List_Olist_OCons(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_0) ).
cnf(cls_remove1_Osimps_I2_J_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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_1) ).
cnf(cls_append__eq__append__conv2_4,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_4) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__assoc_0) ).
cnf(cls_append__Cons_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Cons_0) ).
cnf(cls_append__eq__Cons__conv_5,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).
cnf(cls_append__eq__append__conv2_5,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).
cnf(cls_append__eq__appendI_0,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__appendI_0) ).
cnf(cls_Cons__eq__appendI_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__appendI_0) ).
cnf(cls_Cons__eq__append__conv_5,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_drop__replicate_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__replicate_0) ).
cnf(cls_diff__commute_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__commute_0) ).
cnf(cls_append__in__listsp__conv_0,axiom,
( c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__in__listsp__conv_0) ).
cnf(cls_append__in__listsp__conv_1,axiom,
( c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__in__listsp__conv_1) ).
cnf(cls_list__all__append_0,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__append_0) ).
cnf(cls_list__all__append_1,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Oappend(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__append_1) ).
cnf(cls_list__all_Osimps_I2_J_1,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_1) ).
cnf(cls_subset__insertI2_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_list__all_Osimps_I2_J_2,axiom,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olist__all(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_2) ).
cnf(cls_rotate__simps_1,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__simps_1) ).
cnf(cls_le__mod__geq_0,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__mod__geq_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_rotate__conv__mod_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__conv__mod_0) ).
cnf(cls_list__all_Osimps_I2_J_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I2_J_0) ).
cnf(cls_rotate1__hd__tl_0,axiom,
( 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)
| X1 = c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate1__hd__tl_0) ).
cnf(cls_append__take__drop__id_0,axiom,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__take__drop__id_0) ).
cnf(cls_inj__on__rev_0,axiom,
c_Fun_Oinj__on(c_List_Orev(X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__rev_0) ).
cnf(cls_dropWhile_Osimps_I2_J_0,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I2_J_0) ).
cnf(cls_filter__replicate_0,axiom,
( c_List_Ofilter(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(X2,X3,X4)
| ~ hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__replicate_0) ).
cnf(cls_listrelp_ONil_0,axiom,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listrelp_ONil_0) ).
cnf(cls_append__butlast__last__id_0,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__butlast__last__id_0) ).
cnf(cls_rev__append_0,axiom,
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__append_0) ).
cnf(cls_list__update_Osimps_I1_J_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update_Osimps_I1_J_0) ).
cnf(cls_list__update__code_I1_J_0,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__code_I1_J_0) ).
cnf(cls_list__update__nonempty_1,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update__nonempty_1) ).
cnf(cls_filtermap_Osimps_I1_J_0,axiom,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filtermap_Osimps_I1_J_0) ).
cnf(cls_map__is__Nil__conv_1,axiom,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__is__Nil__conv_1) ).
cnf(cls_Nil__is__map__conv_1,axiom,
c_List_Olist_ONil(X1) = c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__map__conv_1) ).
cnf(cls_knows__Gets_0,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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
cnf(cls_list__ex_Osimps_I2_J_2,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olist__ex(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__ex_Osimps_I2_J_2) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_remove1__filter__not_0,axiom,
( c_List_Oremove1(X1,c_List_Ofilter(X2,X3,X4),X4) = c_List_Ofilter(X2,X3,X4)
| hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1__filter__not_0) ).
cnf(cls_dropWhile_Osimps_I2_J_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I2_J_1) ).
cnf(cls_filter_Osimps_I2_J_1,axiom,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter_Osimps_I2_J_1) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_diff__diff__cancel_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = X2
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__diff__cancel_0) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_mod__mod__trivial_0,axiom,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__mod__trivial_0) ).
cnf(cls_append__eq__Cons__conv_4,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_4) ).
cnf(cls_Cons__eq__append__conv_4,axiom,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_4) ).
cnf(cls_le__trans_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__trans_0) ).
cnf(cls_rev__filter_0,axiom,
hAPP(c_List_Orev(X1),c_List_Ofilter(X2,X3,X1)) = c_List_Ofilter(X2,hAPP(c_List_Orev(X1),X3),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__filter_0) ).
cnf(cls_dropWhile__eq__Cons__conv_1,axiom,
( c_List_OdropWhile(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3)
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile__eq__Cons__conv_1) ).
cnf(cls_length__drop_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__drop_0) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_sorted__append_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_0) ).
cnf(cls_sorted__append_1,axiom,
( c_List_Olinorder__class_Osorted(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__append_1) ).
cnf(cls_sorted__Cons_0,axiom,
( c_List_Olinorder__class_Osorted(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__Cons_0) ).
cnf(cls_list__ex_Osimps_I2_J_1,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__ex_Osimps_I2_J_1) ).
cnf(cls_tl__append2_0,axiom,
( c_List_Otl(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Otl(X1,X3),X2,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl__append2_0) ).
cnf(cls_butlast__append_1,axiom,
( c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)
| X2 = c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast__append_1) ).
cnf(cls_butlast_Osimps_I2_J_1,axiom,
( c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)
| X2 = c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_1) ).
cnf(cls_distinct__rotate_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__rotate_0) ).
cnf(cls_distinct__append_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X1,X3,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__append_0) ).
cnf(cls_distinct__append_1,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__append_1) ).
cnf(cls_distinct_Osimps_I2_J_1,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).
cnf(cls_drop__all_0,axiom,
( c_List_Odrop(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__all_0) ).
cnf(cls_filter__eq__ConsD_2,axiom,
( hBOOL(hAPP(X1,X4))
| c_List_Ofilter(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__eq__ConsD_2) ).
cnf(cls_Cons__eq__filterD_2,axiom,
( hBOOL(hAPP(X4,X1))
| c_List_Olist_OCons(X1,X2,X3) != c_List_Ofilter(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__filterD_2) ).
cnf(cls_drop__tl_0,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__tl_0) ).
cnf(cls_drop__butlast_0,axiom,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__butlast_0) ).
cnf(cls_rotate1__rotate__swap_0,axiom,
c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate1__rotate__swap_0) ).
cnf(cls_remdups__filter_0,axiom,
c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3) = c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__filter_0) ).
cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_tl__drop_0,axiom,
c_List_Otl(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl__drop_0) ).
cnf(cls_butlast__drop_0,axiom,
c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast__drop_0) ).
cnf(cls_list__all__rev_0,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,hAPP(c_List_Orev(X3),X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__rev_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_append__eq__conv__conj_0,axiom,
X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__conv__conj_0) ).
cnf(cls_append__eq__conv__conj_1,axiom,
X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__conv__conj_1) ).
cnf(cls_rev__singleton__conv_1,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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).
cnf(cls_singleton__rev__conv_1,axiom,
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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__rev__conv_1) ).
cnf(cls_take__all_0,axiom,
( c_List_Otake(X1,X2,X3) = X2
| ~ c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_take__all_0) ).
cnf(cls_filter__replicate_1,axiom,
( c_List_Ofilter(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter__replicate_1) ).
cnf(cls_List_Onull_Osimps_I2_J_0,axiom,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Onull_Osimps_I2_J_0) ).
cnf(cls_singleton__rev__conv_0,axiom,
( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
| c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != hAPP(c_List_Orev(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__rev__conv_0) ).
cnf(cls_rev__singleton__conv_0,axiom,
( X2 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1)
| hAPP(c_List_Orev(X1),X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__singleton__conv_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_drop__eq__Nil_0,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)
| c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__eq__Nil_0) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_length__remdups__leq_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__remdups__leq_0) ).
cnf(cls_rev__replicate_0,axiom,
hAPP(c_List_Orev(X1),c_List_Oreplicate(X2,X3,X1)) = c_List_Oreplicate(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__replicate_0) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_knows__Spy__Gets_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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
cnf(cls_list__all__rev_1,axiom,
( c_List_Olist__all(X1,hAPP(c_List_Orev(X2),X3),X2)
| ~ c_List_Olist__all(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all__rev_1) ).
cnf(cls_replicate__eq__replicate_0,axiom,
( X1 = X4
| c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_replicate__eq__replicate_0) ).
cnf(cls_append__same__eq_0,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__same__eq_0) ).
cnf(cls_list_Oinject_0,axiom,
( X1 = X4
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
cnf(cls_event_Osimps_I1_J_0,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
cnf(cls_same__append__eq_0,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_same__append__eq_0) ).
cnf(cls_list_Oinject_1,axiom,
( X2 = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
cnf(cls_event_Osimps_I1_J_1,axiom,
( X2 = X5
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
cnf(cls_event_Osimps_I1_J_2,axiom,
( X3 = X6
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
cnf(cls_le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__antisym_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_remove1_Osimps_I2_J_0,axiom,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I2_J_0) ).
cnf(cls_mod__less__eq__dividend_0,axiom,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mod__less__eq__dividend_0) ).
cnf(cls_diff__le__self_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__le__self_0) ).
cnf(cls_sorted__remove1_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__remove1_0) ).
cnf(cls_sorted__dropWhile_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__dropWhile_0) ).
cnf(cls_sorted__take_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Otake(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__take_0) ).
cnf(cls_sorted__drop_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__drop_0) ).
cnf(cls_length__rotate_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__rotate_0) ).
cnf(cls_hd__append_0,axiom,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__append_0) ).
cnf(cls_last__append_0,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__append_0) ).
cnf(cls_butlast__append_0,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast__append_0) ).
cnf(cls_sorted__distinct__set__unique_0,axiom,
( X2 = X3
| ~ class_Orderings_Olinorder(X1)
| c_List_Oset(X2,X1) != c_List_Oset(X3,X1)
| ~ c_List_Odistinct(X3,X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1)
| ~ c_List_Odistinct(X2,X1)
| ~ c_List_Olinorder__class_Osorted(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__distinct__set__unique_0) ).
cnf(cls_distinct__sublistI_0,axiom,
( c_List_Odistinct(c_List_Osublist(X1,X2,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__sublistI_0) ).
cnf(cls_distinct__remove1_0,axiom,
( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remove1_0) ).
cnf(cls_distinct__dropWhile_0,axiom,
( c_List_Odistinct(c_List_OdropWhile(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__dropWhile_0) ).
cnf(cls_distinct__filter_0,axiom,
( c_List_Odistinct(c_List_Ofilter(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__filter_0) ).
cnf(cls_distinct__rotate_1,axiom,
( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__rotate_1) ).
cnf(cls_distinct__take_0,axiom,
( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__take_0) ).
cnf(cls_distinct__drop_0,axiom,
( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__drop_0) ).
cnf(cls_sorted_Osimps_I2_J_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I2_J_0) ).
cnf(cls_hd__append_1,axiom,
( c_List_Ohd(c_List_Oappend(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
| X1 = c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__append_1) ).
cnf(cls_last__append_1,axiom,
( c_List_Olast(c_List_Oappend(X1,X2,X3),X3) = c_List_Olast(X2,X3)
| X2 = c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__append_1) ).
cnf(cls_last_Osimps_1,axiom,
( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
| X2 = c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last_Osimps_1) ).
cnf(cls_butlast_Osimps_I2_J_0,axiom,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_0) ).
cnf(cls_set__rotate_0,axiom,
c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rotate_0) ).
cnf(cls_last_Osimps_0,axiom,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last_Osimps_0) ).
cnf(cls_map_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map_Oinduct_0) ).
cnf(cls_concat_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_concat_Oinduct_0) ).
cnf(cls_take_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_take_Oinduct_0) ).
cnf(cls_foldl_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl_Oinduct_0) ).
cnf(cls_last_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last_Oinduct_0) ).
cnf(cls_listsum_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsum_Oinduct_0) ).
cnf(cls_distinct_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Oinduct_0) ).
cnf(cls_remove1_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Oinduct_0) ).
cnf(cls_listset_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listset_Oinduct_0) ).
cnf(cls_zip_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_zip_Oinduct_0) ).
cnf(cls_dropWhile_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Oinduct_0) ).
cnf(cls_takeWhile_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Oinduct_0) ).
cnf(cls_removeAll_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_removeAll_Oinduct_0) ).
cnf(cls_list__update_Oinduct_0,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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__update_Oinduct_0) ).
cnf(cls_list_Oinduct_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Oinduct_0) ).
cnf(cls_length__replicate_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__replicate_0) ).
cnf(cls_hd_Osimps_0,axiom,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd_Osimps_0) ).
cnf(cls_tl_Osimps_I2_J_0,axiom,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl_Osimps_I2_J_0) ).
cnf(cls_length__remdups__eq_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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__remdups__eq_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_event_Osimps_I4_J_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
cnf(cls_event_Osimps_I5_J_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_conjecture_0,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('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_append__is__Nil__conv_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).
cnf(cls_rotate__is__Nil__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Orotate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_0) ).
cnf(cls_append__is__Nil__conv_1,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).
cnf(cls_Nil__is__append__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_0) ).
cnf(cls_Nil__is__append__conv_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).
cnf(cls_distinct__rev_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X2),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__rev_0) ).
cnf(cls_list__ex_Osimps_I1_J_0,axiom,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__ex_Osimps_I1_J_0) ).
cnf(cls_append__self__conv2_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__self__conv2_0) ).
cnf(cls_append__self__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__self__conv_0) ).
cnf(cls_self__append__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_0) ).
cnf(cls_self__append__conv2_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
cnf(cls_neq__Nil__conv_1,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
cnf(cls_list_Osimps_I2_J_0,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
cnf(cls_not__Cons__self2_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
cnf(cls_not__Cons__self_0,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
cnf(cls_length__rev_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__rev_0) ).
cnf(cls_distinct1__rotate_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct1__rotate_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_distinct__rev_1,axiom,
( c_List_Odistinct(hAPP(c_List_Orev(X1),X2),X1)
| ~ c_List_Odistinct(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__rev_1) ).
cnf(cls_listsum__rev_0,axiom,
( c_List_Olistsum(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olistsum(X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsum__rev_0) ).
cnf(cls_hd__rev_0,axiom,
( c_List_Ohd(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olast(X2,X1)
| X2 = c_List_Olist_ONil(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hd__rev_0) ).
cnf(cls_last__rev_0,axiom,
( c_List_Olast(hAPP(c_List_Orev(X1),X2),X1) = c_List_Ohd(X2,X1)
| X2 = c_List_Olist_ONil(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_last__rev_0) ).
cnf(cls_append__is__Nil__conv_2,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_2) ).
cnf(cls_Nil__is__append__conv_2,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_2) ).
cnf(cls_sorted__remdups_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X2,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted__remdups_0) ).
cnf(cls_length__rotate1_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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_length__rotate1_0) ).
cnf(cls_set__rev_0,axiom,
c_List_Oset(hAPP(c_List_Orev(X1),X2),X1) = c_List_Oset(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev_0) ).
cnf(cls_rev__is__rev__conv_0,axiom,
( X2 = X3
| hAPP(c_List_Orev(X1),X2) != hAPP(c_List_Orev(X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__rev__conv_0) ).
cnf(cls_list__inter_Osimps_I1_J_0,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__inter_Osimps_I1_J_0) ).
cnf(cls_sublist__nil_0,axiom,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sublist__nil_0) ).
cnf(cls_remove1_Osimps_I1_J_0,axiom,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remove1_Osimps_I1_J_0) ).
cnf(cls_dropWhile_Osimps_I1_J_0,axiom,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dropWhile_Osimps_I1_J_0) ).
cnf(cls_filter_Osimps_I1_J_0,axiom,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_filter_Osimps_I1_J_0) ).
cnf(cls_rotate__is__Nil__conv_1,axiom,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_1) ).
cnf(cls_take__eq__Nil_2,axiom,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_take__eq__Nil_2) ).
cnf(cls_drop__Nil_0,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_drop__Nil_0) ).
cnf(cls_distinct1__rotate_1,axiom,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct1__rotate_1) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil_0) ).
cnf(cls_append__Nil2_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil2_0) ).
cnf(cls_eq__Nil__appendI_0,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(cls_self__append__conv2_1,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
cnf(cls_self__append__conv_1,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
cnf(cls_listsp_ONil_0,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_listsp_ONil_0) ).
cnf(cls_list__all_Osimps_I1_J_0,axiom,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all_Osimps_I1_J_0) ).
cnf(cls_rev__swap_1,axiom,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__swap_1) ).
cnf(cls_rev__rev__ident_0,axiom,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).
cnf(cls_rev__swap_0,axiom,
X1 = hAPP(c_List_Orev(X2),hAPP(c_List_Orev(X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__swap_0) ).
cnf(cls_set__rotate1_0,axiom,
c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rotate1_0) ).
cnf(cls_set__remdups_0,axiom,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__remdups_0) ).
cnf(cls_eq__imp__le_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
cnf(cls_le__refl_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__refl_0) ).
cnf(cls_event_Osimps_I2_J_0,axiom,
( X1 = X3
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
cnf(cls_event_Osimps_I2_J_1,axiom,
( X2 = X4
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
cnf(cls_rev__is__Nil__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(c_List_Orev(X1),X2) != c_List_Olist_ONil(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_0) ).
cnf(cls_Nil__is__rev__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != hAPP(c_List_Orev(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).
cnf(cls_distinct__remdups_0,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).
cnf(cls_remdups__id__iff__distinct_0,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__id__iff__distinct_0) ).
cnf(cls_distinct__remdups__id_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct__remdups__id_0) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(cls_rotate1__is__Nil__conv_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate1__is__Nil__conv_0) ).
cnf(cls_remdups__eq__nil__iff_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_0) ).
cnf(cls_remdups__eq__nil__right__iff_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oremdups(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_0) ).
cnf(cls_rev__is__Nil__conv_1,axiom,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
cnf(cls_Nil__is__rev__conv_1,axiom,
c_List_Olist_ONil(X1) = hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).
cnf(cls_empty__null_1,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__null_1) ).
cnf(cls_sorted_Osimps_I1_J_0,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).
cnf(cls_rotate__simps_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rotate__simps_0) ).
cnf(cls_remdups__eq__nil__iff_1,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_1) ).
cnf(cls_tl_Osimps_I1_J_0,axiom,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tl_Osimps_I1_J_0) ).
cnf(cls_butlast_Osimps_I1_J_0,axiom,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_butlast_Osimps_I1_J_0) ).
cnf(cls_remdups__eq__nil__right__iff_1,axiom,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_1) ).
cnf(cls_empty__null_0,axiom,
c_List_Onull(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__null_0) ).
cnf(cls_distinct_Osimps_I1_J_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).
cnf(cls_agent_Oinject_0,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
cnf(cls_ns__sharedp_ONil_0,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
cnf(cls_agent_Osimps_I3_J_0,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I3_J_0) ).
cnf(cls_agent_Osimps_I6_J_0,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).
cnf(cls_agent_Osimps_I2_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
cnf(cls_agent_Osimps_I7_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_nat__Divides_Osemiring__div,axiom,
class_Divides_Osemiring__div(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(cls_agent_Osimps_I5_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(i_0_442,axiom,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_initState__subset__knows_0 ).
cnf(i_0_443,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
cls_knows__Nil_0 ).
cnf(i_0_444,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X3,X4),X5)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_OCons(X4,X5,t_b),t_a,t_b))) ),
cls_list_Osplit__asm_1,
[final] ).
cnf(i_0_445,axiom,
( hBOOL(hAPP(X1,hAPP(hAPP(X3,X4),X5)))
| ~ hBOOL(hAPP(X1,c_List_Olist_Olist__case(X2,X3,c_List_Olist_OCons(X4,X5,t_b),t_a,t_b))) ),
cls_list_Osplit_1,
[final] ).
cnf(i_0_446,axiom,
( hBOOL(hAPP(X1,hAPP(X3,X5)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OFriend(X5),t_a))) ),
cls_agent_Osplit__asm_1,
[final] ).
cnf(i_0_447,axiom,
( hBOOL(hAPP(X1,hAPP(X3,X5)))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OFriend(X5),t_a))) ),
cls_agent_Osplit_1,
[final] ).
cnf(i_0_448,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))) ),
cls_list_Osplit_0,
[final] ).
cnf(i_0_449,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OServer,t_a))) ),
cls_agent_Osplit_0,
[final] ).
cnf(i_0_450,axiom,
( hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,c_Message_Oagent_OSpy,t_a))) ),
cls_agent_Osplit_2,
[final] ).
cnf(i_0_451,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit__asm_10,
[final] ).
cnf(i_0_452,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit_10,
[final] ).
cnf(i_0_453,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5)))) ),
cls_agent_Osplit__asm_6,
[final] ).
cnf(i_0_454,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5)))) ),
cls_agent_Osplit_6,
[final] ).
cnf(i_0_455,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit__asm_9,
[final] ).
cnf(i_0_456,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit_9,
[final] ).
cnf(i_0_457,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5)))) ),
cls_agent_Osplit__asm_5,
[final] ).
cnf(i_0_458,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,hAPP(X3,v_sko__Message__Xagent__Xsplit__1(X1,X3,X5)))) ),
cls_agent_Osplit_5,
[final] ).
cnf(i_0_459,axiom,
( c_List_Olist__all2(X7,c_List_Oappend(X5,X1,X2),c_List_Oappend(X6,X3,X4),X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X7,X1,X3,X2,X4)
| ~ c_List_Olist__all2(X7,X5,X6,X2,X4) ),
cls_list__all2__append2_5,
[final] ).
cnf(i_0_460,axiom,
( c_List_Olist__all2(X7,c_List_Oappend(X6,X3,X4),c_List_Oappend(X5,X1,X2),X4,X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| c_Nat_Osize__class_Osize(X5,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X6,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X7,X3,X1,X4,X2)
| ~ c_List_Olist__all2(X7,X6,X5,X4,X2) ),
cls_list__all2__append1_5,
[final] ).
cnf(i_0_461,axiom,
( c_List_Olist__all2(X5,c_List_Oappend(X1,X6,X2),c_List_Oappend(X3,X7,X4),X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,X6,X7,X2,X4)
| ~ c_List_Olist__all2(X5,X1,X3,X2,X4) ),
cls_list__all2__append_2,
[final] ).
cnf(i_0_462,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_List_Olist__all2(X1,X2,X5,X4,X7) ),
cls_list__all2__appendI_0,
[final] ).
cnf(i_0_463,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit__asm_8,
[final] ).
cnf(i_0_464,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit_8,
[final] ).
cnf(i_0_465,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4)) ),
cls_agent_Osplit__asm_4,
[final] ).
cnf(i_0_466,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer
| ~ hBOOL(hAPP(X1,X4)) ),
cls_agent_Osplit_4,
[final] ).
cnf(i_0_467,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit__asm_7,
[final] ).
cnf(i_0_468,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| ~ hBOOL(hAPP(X1,X2)) ),
cls_agent_Osplit_7,
[final] ).
cnf(i_0_469,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__asm__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer ),
cls_agent_Osplit__asm_3,
[final] ).
cnf(i_0_470,axiom,
( hBOOL(hAPP(X1,c_Message_Oagent_Oagent__case(X2,X3,X4,X5,t_a)))
| X5 = c_Message_Oagent_OSpy
| X5 = c_Message_Oagent_OFriend(v_sko__Message__Xagent__Xsplit__1(X1,X3,X5))
| X5 = c_Message_Oagent_OServer ),
cls_agent_Osplit_3,
[final] ).
cnf(i_0_471,axiom,
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),
cls_foldr__append_0,
[final] ).
cnf(i_0_472,axiom,
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),
cls_foldl__append_0,
[final] ).
cnf(i_0_473,axiom,
( X2 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X7,X3,X8,X2,X4)
| X2 = c_Message_Oagent_OSpy
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
cls_agent_Ocase__cong_2,
[final] ).
cnf(i_0_474,axiom,
( X2 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X7,X3,X6,X2,X4)
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
cls_agent_Ocase__cong_3,
[final] ).
cnf(i_0_475,axiom,
( c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X5,X3,X7,X2,X4)
| X2 = c_Message_Oagent_OSpy
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
cls_agent_Ocase__cong_6,
[final] ).
cnf(i_0_476,axiom,
( c_Message_Oagent_Oagent__case(X5,X1,X6,X2,X4) = c_Message_Oagent_Oagent__case(X5,X3,X6,X2,X4)
| hAPP(X1,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) != hAPP(X3,c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X2,X1,X3,X4)) ),
cls_agent_Ocase__cong_7,
[final] ).
cnf(i_0_477,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)),
cls_list_Orecs_I2_J_0,
[final] ).
cnf(i_0_478,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)),
cls_foldr_Osimps_I2_J_0,
[final] ).
cnf(i_0_479,axiom,
( c_List_Olist__all2(X5,X1,X3,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,c_List_Oappend(X1,X6,X2),c_List_Oappend(X3,X7,X4),X2,X4) ),
cls_list__all2__append_0,
[final] ).
cnf(i_0_480,axiom,
( c_List_Olist__all2(X5,X6,X7,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,c_List_Oappend(X1,X6,X2),c_List_Oappend(X3,X7,X4),X2,X4) ),
cls_list__all2__append_1,
[final] ).
cnf(i_0_481,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)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
cls_list__all2__Cons2_3,
[final] ).
cnf(i_0_482,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)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
cls_list__all2__Cons1_3,
[final] ).
cnf(i_0_483,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)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
cls_list__all2__Cons_2,
[final] ).
cnf(i_0_484,axiom,
( c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X6,X2,X4),c_List_Olist_OCons(X7,X3,X5),X4,X5) ),
cls_list__all2__Cons_1,
[final] ).
cnf(i_0_485,axiom,
( c_List_Olist__all2(X1,c_List_Otake(X2,X3,X4),c_List_Otake(X2,X5,X6),X4,X6)
| ~ c_List_Olist__all2(X1,X3,X5,X4,X6) ),
cls_list__all2__takeI_0,
[final] ).
cnf(i_0_486,axiom,
( c_List_Olist__all2(X1,c_List_Odrop(X2,X3,X4),c_List_Odrop(X2,X5,X6),X4,X6)
| ~ c_List_Olist__all2(X1,X3,X5,X4,X6) ),
cls_list__all2__dropI_0,
[final] ).
cnf(i_0_487,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) ),
cls_list__all2__rev_0,
[final] ).
cnf(i_0_488,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) ),
cls_list__all2__rev1_1,
[final] ).
cnf(i_0_489,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) ),
cls_list__all2__rev1_0,
[final] ).
cnf(i_0_490,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) ),
cls_list__all2__rev_1,
[final] ).
cnf(i_0_491,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X7,X8,X4,X5)
| X4 = c_Message_Oagent_OSpy
| X4 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X7,X5))
| X4 = c_Message_Oagent_OServer ),
cls_agent_Ocase__cong_0,
[final] ).
cnf(i_0_492,axiom,
( X1 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4))
| X1 = c_Message_Oagent_OServer
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X7,X3,X6,X1,X4) ),
cls_agent_Ocase__cong_1,
[final] ).
cnf(i_0_493,axiom,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X6,X7,X4,X5)
| X4 = c_Message_Oagent_OSpy
| X4 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X4,X2,X6,X5)) ),
cls_agent_Ocase__cong_4,
[final] ).
cnf(i_0_494,axiom,
( X1 = c_Message_Oagent_OFriend(c_Message_Osko__Message__Xagent__Xcase__cong__1__1(X1,X2,X3,X4))
| c_Message_Oagent_Oagent__case(X5,X2,X6,X1,X4) = c_Message_Oagent_Oagent__case(X5,X3,X6,X1,X4) ),
cls_agent_Ocase__cong_5,
[final] ).
cnf(i_0_495,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),
cls_foldl__Cons_0,
[final] ).
cnf(i_0_496,axiom,
( c_Map_Omap__upds(X5,c_List_Oappend(X1,X6,X2),X3,X2,X4) = c_Map_Omap__upds(X5,X1,X3,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)) ),
cls_fun__upds__append__drop_0,
[final] ).
cnf(i_0_497,axiom,
( c_Map_Omap__upds(X5,X1,c_List_Oappend(X3,X6,X4),X2,X4) = c_Map_Omap__upds(X5,X1,X3,X2,X4)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)) ),
cls_fun__upds__append2__drop_0,
[final] ).
cnf(i_0_498,axiom,
( hBOOL(hAPP(hAPP(X1,X2),X3))
| ~ c_List_Olist__all2(X1,c_List_Olist_OCons(X2,X4,X5),c_List_Olist_OCons(X3,X6,X7),X5,X7) ),
cls_list__all2__Cons_0,
[final] ).
cnf(i_0_499,axiom,
( c_List_Oappend(X3,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) = c_List_Oappend(X1,X4,X2)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2),X4,X2),X2) != X4
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1
| X3 != c_List_Otake(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),X1,X2) ),
cls_append__eq__append__conv__if_6,
[final] ).
cnf(i_0_500,axiom,
( c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4))
| ~ c_List_Olist__all2(X5,X1,X3,X2,X4) ),
cls_list__all2__def_0,
[final] ).
cnf(i_0_501,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Olist__all2(X3,c_List_Olist_ONil(X4),X1,X4,X2) ),
cls_list__all2__Nil_0,
[final] ).
cnf(i_0_502,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Olist__all2(X3,X1,c_List_Olist_ONil(X4),X2,X4) ),
cls_list__all2__Nil2_0,
[final] ).
cnf(i_0_503,axiom,
( X1 = X2
| ~ c_List_Olist__all2(c_fequal(X3),X1,X2,X3,X3) ),
cls_list__all2__eq_1,
[final] ).
cnf(i_0_504,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),
cls_map__update_0,
[final] ).
cnf(i_0_505,axiom,
( c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X5,X6,X4) = c_List_Olist__update(c_List_Olist__update(X1,X5,X6,X4),X2,X3,X4)
| X2 = X5 ),
cls_list__update__swap_0,
[final] ).
cnf(i_0_506,axiom,
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),
cls_map__append_0,
[final] ).
cnf(i_0_507,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_OCons(X3,X4,X5),X6,X5) = hAPP(hAPP(X2,X3),X4),
cls_list_Osimps_I5_J_0,
[final] ).
cnf(i_0_508,axiom,
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)),
cls_rotate__rev_0,
[final] ).
cnf(i_0_509,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)),
cls_set__update__subset__insert_0,
[final] ).
cnf(i_0_510,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
cls_agent_Orecs_I2_J_0,
[final] ).
cnf(i_0_511,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OFriend(X4),X5) = hAPP(X2,X4),
cls_agent_Osimps_I9_J_0,
[final] ).
cnf(i_0_512,axiom,
c_List_Olist__all2(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X3),X2,X3),
cls_list__all2__Nil_1,
[final] ).
cnf(i_0_513,axiom,
c_Map_Omap__upds(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X1,
cls_map__upds__Nil1_0,
[final] ).
cnf(i_0_514,axiom,
c_List_Ofoldr(X1,c_List_Olist_ONil(X2),X3,X2,X4) = X3,
cls_foldr_Osimps_I1_J_0,
[final] ).
cnf(i_0_515,axiom,
c_List_Olist_Olist__rec(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
cls_list_Orecs_I1_J_0,
[final] ).
cnf(i_0_516,axiom,
c_Map_Omap__upds(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
cls_map__upds__Nil2_0,
[final] ).
cnf(i_0_517,axiom,
c_List_Olist_Olist__case(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X1,
cls_list_Osimps_I4_J_0,
[final] ).
cnf(i_0_518,axiom,
c_List_Ofoldl(X1,X2,c_List_Olist_ONil(X3),X4,X3) = X2,
cls_foldl__Nil_0,
[final] ).
cnf(i_0_519,axiom,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
cls_list__all2__eq_0,
[final] ).
cnf(i_0_520,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
cls_agent_Orecs_I1_J_0,
[final] ).
cnf(i_0_521,axiom,
c_Message_Oagent_Oagent__rec(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
cls_agent_Orecs_I3_J_0,
[final] ).
cnf(i_0_522,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OServer,X4) = X1,
cls_agent_Osimps_I8_J_0,
[final] ).
cnf(i_0_523,axiom,
c_Message_Oagent_Oagent__case(X1,X2,X3,c_Message_Oagent_OSpy,X4) = X3,
cls_agent_Osimps_I10_J_0,
[final] ).
cnf(i_0_524,axiom,
( c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4) ),
cls_distinct__map_1,
[final] ).
cnf(i_0_525,axiom,
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),
cls_rotate__drop__take_0,
[final] ).
cnf(i_0_526,axiom,
c_List_Olist__update(c_List_Olist__update(X1,X2,X3,X4),X2,X5,X4) = c_List_Olist__update(X1,X2,X5,X4),
cls_list__update__overwrite_0,
[final] ).
cnf(i_0_527,axiom,
( c_List_Olistrelp(X1,c_List_Olist_OCons(X2,X3,X4),c_List_Olist_OCons(X5,X6,X4),X4)
| ~ c_List_Olistrelp(X1,X3,X6,X4)
| ~ hBOOL(hAPP(hAPP(X1,X2),X5)) ),
cls_listrelp_OCons_0,
[final] ).
cnf(i_0_528,axiom,
( c_List_Odistinct(c_List_Omap(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,c_List_Oset(X2,X3),X3,X4)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__map_2,
[final] ).
cnf(i_0_529,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)
| 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) ),
cls_append__eq__append__conv__if_5,
[final] ).
cnf(i_0_530,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),
cls_Cons__eq__map__conv_3,
[final] ).
cnf(i_0_531,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),
cls_map_Osimps_I2_J_0,
[final] ).
cnf(i_0_532,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),
cls_map__eq__Cons__conv_3,
[final] ).
cnf(i_0_533,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),
cls_rotate__map_0,
[final] ).
cnf(i_0_534,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),
cls_take__map_0,
[final] ).
cnf(i_0_535,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),
cls_drop__map_0,
[final] ).
cnf(i_0_536,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))) ),
cls_hd__dropWhile_0,
[final] ).
cnf(i_0_537,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X3,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(X3,X4,X2) = 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_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X3,X2) != X1 ),
cls_append__eq__append__conv__if_4,
[final] ).
cnf(i_0_538,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),
cls_spies__Says__rev_0,
[final] ).
cnf(i_0_539,axiom,
( c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)) = c_Nat_Osize__class_Osize(X5,tc_List_Olist(X3))
| c_List_Omap(X1,X2,X3,X4) != c_List_Omap(X1,X5,X3,X4) ),
cls_map__eq__imp__length__eq_0,
[final] ).
cnf(i_0_540,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Omap(X3,X1,X2,X4),X4) ),
cls_distinct__map_0,
[final] ).
cnf(i_0_541,axiom,
( c_Finite__Set_Osetsum(X2,c_List_Oset(X3,X4),X4,X1) = c_List_Olistsum(c_List_Omap(X2,X3,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_List_Odistinct(X3,X4) ),
cls_setsum__set__distinct__conv__listsum_0,
[final] ).
cnf(i_0_542,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
cls_inj__on__insert_0,
[final] ).
cnf(i_0_543,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),
cls_rev__map_0,
[final] ).
cnf(i_0_544,axiom,
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),
cls_take__append_0,
[final] ).
cnf(i_0_545,axiom,
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),
cls_drop__append_0,
[final] ).
cnf(i_0_546,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),
cls_list__update__length_0,
[final] ).
cnf(i_0_547,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)),
cls_knows__subset__knows__Says_0,
[final] ).
cnf(i_0_548,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
cls_subset__inj__on_0,
[final] ).
cnf(i_0_549,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
cls_mod__diff__eq_0,
[final] ).
cnf(i_0_550,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)),
cls_knows__Spy__subset__knows__Spy__Says_0,
[final] ).
cnf(i_0_551,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)
| ~ class_Divides_Oring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
cls_mod__diff__cong_0,
[final] ).
cnf(i_0_552,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X4,c_List_Olist_OCons(X2,X3,X1),X1),X1) ),
cls_sorted_Osimps_I3_J_1,
[final] ).
cnf(i_0_553,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),
cls_replicate__app__Cons__same_0,
[final] ).
cnf(i_0_554,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)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat) ),
cls_le__diff__iff_0,
[final] ).
cnf(i_0_555,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X4,X1),X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_sorted_Osimps_I3_J_2,
[final] ).
cnf(i_0_556,axiom,
( X2 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X4,X3),X5,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X5,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) ),
cls_append__eq__append__conv__if_1,
[final] ).
cnf(i_0_557,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_OCons(X3,X4,X1),X1),X1) ),
cls_sorted_Osimps_I3_J_0,
[final] ).
cnf(i_0_558,axiom,
( X1 = X4
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
cls_append1__eq__conv_0,
[final] ).
cnf(i_0_559,axiom,
( X2 = X5
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
cls_append1__eq__conv_1,
[final] ).
cnf(i_0_560,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
cls_mod__diff__left__eq_0,
[final] ).
cnf(i_0_561,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
cls_mod__diff__right__eq_0,
[final] ).
cnf(i_0_562,axiom,
( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X4,tc_List_Olist(X3)),X1,X3),X2,X3) = X5
| 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(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
cls_append__eq__append__conv__if_3,
[final] ).
cnf(i_0_563,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),
cls_impossible__Cons_0,
[final] ).
cnf(i_0_564,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_last_Oinduct_1,
[final] ).
cnf(i_0_565,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_listsum_Oinduct_1,
[final] ).
cnf(i_0_566,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_distinct_Oinduct_1,
[final] ).
cnf(i_0_567,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_remove1_Oinduct_1,
[final] ).
cnf(i_0_568,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_listset_Oinduct_1,
[final] ).
cnf(i_0_569,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_zip_Oinduct_1,
[final] ).
cnf(i_0_570,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_dropWhile_Oinduct_1,
[final] ).
cnf(i_0_571,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_takeWhile_Oinduct_1,
[final] ).
cnf(i_0_572,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_removeAll_Oinduct_1,
[final] ).
cnf(i_0_573,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_list__update_Oinduct_1,
[final] ).
cnf(i_0_574,axiom,
( 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)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_list_Oinduct_1,
[final] ).
cnf(i_0_575,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),
cls_append__replicate__commute_0,
[final] ).
cnf(i_0_576,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)),
cls_length__map_0,
[final] ).
cnf(i_0_577,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)),
cls_length__list__update_0,
[final] ).
cnf(i_0_578,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_le__diff__iff_1,
[final] ).
cnf(i_0_579,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),
cls_rev__eq__Cons__iff_1,
[final] ).
cnf(i_0_580,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_Nat_Odiff__diff__eq_0,
[final] ).
cnf(i_0_581,axiom,
( X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X4,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X5,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) ),
cls_append__eq__append__conv__if_0,
[final] ).
cnf(i_0_582,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),
cls_spies__Gets__rev_0,
[final] ).
cnf(i_0_583,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),
cls_replicate__append__same_0,
[final] ).
cnf(i_0_584,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)),
cls_knows__subset__knows__Gets_0,
[final] ).
cnf(i_0_585,axiom,
c_List_Omap(X1,c_List_Oreplicate(X2,X3,X4),X4,X5) = c_List_Oreplicate(X2,hAPP(X1,X3),X5),
cls_map__replicate_0,
[final] ).
cnf(i_0_586,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)),
cls_knows__Spy__subset__knows__Spy__Gets_0,
[final] ).
cnf(i_0_587,axiom,
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),
cls_filter__append_0,
[final] ).
cnf(i_0_588,axiom,
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),
cls_drop__take_0,
[final] ).
cnf(i_0_589,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_590,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
cls_insert__mono_0,
[final] ).
cnf(i_0_591,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),
cls_knows__Says_0,
[final] ).
cnf(i_0_592,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),
cls_knows__Spy__Says_0,
[final] ).
cnf(i_0_593,axiom,
( X1 = c_List_Olist_ONil(X4)
| c_List_Olist__update(X1,X2,X3,X4) != c_List_Olist_ONil(X4) ),
cls_list__update__nonempty_0,
[final] ).
cnf(i_0_594,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Omap(X1,X2,X3,X4) != c_List_Olist_ONil(X4) ),
cls_map__is__Nil__conv_0,
[final] ).
cnf(i_0_595,axiom,
( X3 = c_List_Olist_ONil(X4)
| c_List_Olist_ONil(X1) != c_List_Omap(X2,X3,X4,X1) ),
cls_Nil__is__map__conv_0,
[final] ).
cnf(i_0_596,axiom,
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),
cls_rev__take_0,
[final] ).
cnf(i_0_597,axiom,
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),
cls_rev__drop_0,
[final] ).
cnf(i_0_598,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(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
cls_append__eq__append__conv__if_2,
[final] ).
cnf(i_0_599,axiom,
( c_List_Olist__update(X1,X2,X3,X4) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),X2,tc_nat) ),
cls_list__update__beyond_0,
[final] ).
cnf(i_0_600,axiom,
( 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) ),
cls_append__eq__conv__conj_2,
[final] ).
cnf(i_0_601,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)) ),
cls_filter_Osimps_I2_J_0,
[final] ).
cnf(i_0_602,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_1,
[final] ).
cnf(i_0_603,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X2,
cls_last__snoc_0,
[final] ).
cnf(i_0_604,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
cls_butlast__snoc_0,
[final] ).
cnf(i_0_605,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_diff__le__mono2_0,
[final] ).
cnf(i_0_606,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_diff__le__mono_0,
[final] ).
cnf(i_0_607,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),
cls_length__dropWhile__le_0,
[final] ).
cnf(i_0_608,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),
cls_length__filter__le_0,
[final] ).
cnf(i_0_609,axiom,
c_lessequals(c_List_Oset(c_List_Osublist(X1,X2,X3),X3),c_List_Oset(X1,X3),tc_fun(X3,tc_bool)),
cls_set__sublist__subset_0,
[final] ).
cnf(i_0_610,axiom,
c_lessequals(c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
cls_set__remove1__subset_0,
[final] ).
cnf(i_0_611,axiom,
c_lessequals(c_List_Oset(c_List_Ofilter(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
cls_filter__is__subset_0,
[final] ).
cnf(i_0_612,axiom,
c_lessequals(c_List_Oset(c_List_Otake(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
cls_set__take__subset_0,
[final] ).
cnf(i_0_613,axiom,
c_lessequals(c_List_Oset(c_List_Odrop(X1,X2,X3),X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
cls_set__drop__subset_0,
[final] ).
cnf(i_0_614,axiom,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
cls_set__subset__Cons_0,
[final] ).
cnf(i_0_615,axiom,
( c_List_Olist__ex(X1,X2,X3)
| hBOOL(hAPP(X1,X4))
| ~ c_List_Olist__ex(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
cls_list__ex_Osimps_I2_J_0,
[final] ).
cnf(i_0_616,axiom,
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),
cls_rev_Osimps_I2_J_0,
[final] ).
cnf(i_0_617,axiom,
( X1 = X3
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X3,X2,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_eq__diff__iff_0,
[final] ).
cnf(i_0_618,axiom,
( c_List_Olistsp(X1,c_List_Oappend(X2,X3,X4),X4)
| ~ c_List_Olistsp(X1,X3,X4)
| ~ c_List_Olistsp(X1,X2,X4) ),
cls_append__in__listsp__conv_2,
[final] ).
cnf(i_0_619,axiom,
( c_List_Olist__all(X1,c_List_Oappend(X2,X3,X4),X4)
| ~ c_List_Olist__all(X1,X3,X4)
| ~ c_List_Olist__all(X1,X2,X4) ),
cls_list__all__append_2,
[final] ).
cnf(i_0_620,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)),
cls_knows__subset__knows__Cons_0,
[final] ).
cnf(i_0_621,axiom,
( X2 = c_List_Oappend(hAPP(c_List_Orev(X1),X4),c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)
| hAPP(c_List_Orev(X1),X2) != c_List_Olist_OCons(X3,X4,X1) ),
cls_rev__eq__Cons__iff_0,
[final] ).
cnf(i_0_622,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 ),
cls_remove1_Osimps_I2_J_1,
[final] ).
cnf(i_0_623,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__eq__append__conv2_4,
[final] ).
cnf(i_0_624,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__assoc_0,
[final] ).
cnf(i_0_625,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),
cls_append__Cons_0,
[final] ).
cnf(i_0_626,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),
cls_append__eq__Cons__conv_5,
[final] ).
cnf(i_0_627,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
cls_append__eq__append__conv2_5,
[final] ).
cnf(i_0_628,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
cls_append__eq__appendI_0,
[final] ).
cnf(i_0_629,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
cls_Cons__eq__appendI_0,
[final] ).
cnf(i_0_630,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
cls_Cons__eq__append__conv_5,
[final] ).
cnf(i_0_631,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0,
[final] ).
cnf(i_0_632,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__trans_0,
[final] ).
cnf(i_0_633,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_634,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_635,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),
cls_drop__replicate_0,
[final] ).
cnf(i_0_636,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),
cls_diff__commute_0,
[final] ).
cnf(i_0_637,axiom,
( c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,c_List_Oappend(X2,X4,X3),X3) ),
cls_append__in__listsp__conv_0,
[final] ).
cnf(i_0_638,axiom,
( c_List_Olistsp(X1,X2,X3)
| ~ c_List_Olistsp(X1,c_List_Oappend(X4,X2,X3),X3) ),
cls_append__in__listsp__conv_1,
[final] ).
cnf(i_0_639,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Oappend(X2,X4,X3),X3) ),
cls_list__all__append_0,
[final] ).
cnf(i_0_640,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Oappend(X4,X2,X3),X3) ),
cls_list__all__append_1,
[final] ).
cnf(i_0_641,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X4,X2,X3),X3) ),
cls_list__all_Osimps_I2_J_1,
[final] ).
cnf(i_0_642,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insertI2_0,
[final] ).
cnf(i_0_643,axiom,
( c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olist__all(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
cls_list__all_Osimps_I2_J_2,
[final] ).
cnf(i_0_644,axiom,
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),
cls_rotate__simps_1,
[final] ).
cnf(i_0_645,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_le__mod__geq_0,
[final] ).
cnf(i_0_646,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_647,axiom,
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),
cls_rotate__conv__mod_0,
[final] ).
cnf(i_0_648,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_List_Olist__all(X1,c_List_Olist_OCons(X2,X3,X4),X4) ),
cls_list__all_Osimps_I2_J_0,
[final] ).
cnf(i_0_649,axiom,
( 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)
| X1 = c_List_Olist_ONil(X2) ),
cls_rotate1__hd__tl_0,
[final] ).
cnf(i_0_650,axiom,
c_List_Oappend(c_List_Otake(X1,X2,X3),c_List_Odrop(X1,X2,X3),X3) = X2,
cls_append__take__drop__id_0,
[final] ).
cnf(i_0_651,axiom,
c_Fun_Oinj__on(c_List_Orev(X1),X2,tc_List_Olist(X1),tc_List_Olist(X1)),
cls_inj__on__rev_0,
[final] ).
cnf(i_0_652,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_OdropWhile(X1,X3,X4)
| ~ hBOOL(hAPP(X1,X2)) ),
cls_dropWhile_Osimps_I2_J_0,
[final] ).
cnf(i_0_653,axiom,
( c_List_Ofilter(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Oreplicate(X2,X3,X4)
| ~ hBOOL(hAPP(X1,X3)) ),
cls_filter__replicate_0,
[final] ).
cnf(i_0_654,axiom,
c_List_Olistrelp(X1,c_List_Olist_ONil(X2),c_List_Olist_ONil(X2),X2),
cls_listrelp_ONil_0,
[final] ).
cnf(i_0_655,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) ),
cls_append__butlast__last__id_0,
[final] ).
cnf(i_0_656,axiom,
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),
cls_rev__append_0,
[final] ).
cnf(i_0_657,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
cls_list__update_Osimps_I1_J_0,
[final] ).
cnf(i_0_658,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
cls_list__update__code_I1_J_0,
[final] ).
cnf(i_0_659,axiom,
c_List_Olist__update(c_List_Olist_ONil(X1),X2,X3,X1) = c_List_Olist_ONil(X1),
cls_list__update__nonempty_1,
[final] ).
cnf(i_0_660,axiom,
c_List_Ofiltermap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
cls_filtermap_Osimps_I1_J_0,
[final] ).
cnf(i_0_661,axiom,
c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X3) = c_List_Olist_ONil(X3),
cls_map__is__Nil__conv_1,
[final] ).
cnf(i_0_662,axiom,
c_List_Olist_ONil(X1) = c_List_Omap(X2,c_List_Olist_ONil(X3),X3,X1),
cls_Nil__is__map__conv_1,
[final] ).
cnf(i_0_663,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 ),
cls_knows__Gets_0,
[final] ).
cnf(i_0_664,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ c_List_Olist__ex(X1,X3,X4) ),
cls_list__ex_Osimps_I2_J_2,
[final] ).
cnf(i_0_665,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_set__eq__subset_2,
[final] ).
cnf(i_0_666,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0,
[final] ).
cnf(i_0_667,axiom,
( c_List_Oremove1(X1,c_List_Ofilter(X2,X3,X4),X4) = c_List_Ofilter(X2,X3,X4)
| hBOOL(hAPP(X2,X1)) ),
cls_remove1__filter__not_0,
[final] ).
cnf(i_0_668,axiom,
( c_List_OdropWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
cls_dropWhile_Osimps_I2_J_1,
[final] ).
cnf(i_0_669,axiom,
( c_List_Ofilter(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Ofilter(X1,X3,X4)
| hBOOL(hAPP(X1,X2)) ),
cls_filter_Osimps_I2_J_1,
[final] ).
cnf(i_0_670,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_671,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = X2
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_diff__diff__cancel_0,
[final] ).
cnf(i_0_672,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
cls_le__funD_0,
[final] ).
cnf(i_0_673,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__trans_0,
[final] ).
cnf(i_0_674,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I6_J_0,
[final] ).
cnf(i_0_675,axiom,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mod__trivial_0,
[final] ).
cnf(i_0_676,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
cls_append__eq__Cons__conv_4,
[final] ).
cnf(i_0_677,axiom,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
cls_Cons__eq__append__conv_4,
[final] ).
cnf(i_0_678,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_le__trans_0,
[final] ).
cnf(i_0_679,axiom,
hAPP(c_List_Orev(X1),c_List_Ofilter(X2,X3,X1)) = c_List_Ofilter(X2,hAPP(c_List_Orev(X1),X3),X1),
cls_rev__filter_0,
[final] ).
cnf(i_0_680,axiom,
( c_List_OdropWhile(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3)
| ~ hBOOL(hAPP(X1,X4)) ),
cls_dropWhile__eq__Cons__conv_1,
[final] ).
cnf(i_0_681,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),
cls_length__drop_0,
[final] ).
cnf(i_0_682,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__absorb2_0,
[final] ).
cnf(i_0_683,axiom,
( c_List_Olinorder__class_Osorted(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X2,X3,X1),X1) ),
cls_sorted__append_0,
[final] ).
cnf(i_0_684,axiom,
( c_List_Olinorder__class_Osorted(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Oappend(X3,X2,X1),X1) ),
cls_sorted__append_1,
[final] ).
cnf(i_0_685,axiom,
( c_List_Olinorder__class_Osorted(X2,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X3,X2,X1),X1) ),
cls_sorted__Cons_0,
[final] ).
cnf(i_0_686,axiom,
( c_List_Olist__ex(X1,c_List_Olist_OCons(X2,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
cls_list__ex_Osimps_I2_J_1,
[final] ).
cnf(i_0_687,axiom,
( c_List_Otl(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Otl(X1,X3),X2,X3)
| X1 = c_List_Olist_ONil(X3) ),
cls_tl__append2_0,
[final] ).
cnf(i_0_688,axiom,
( c_List_Obutlast(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(X1,c_List_Obutlast(X2,X3),X3)
| X2 = c_List_Olist_ONil(X3) ),
cls_butlast__append_1,
[final] ).
cnf(i_0_689,axiom,
( c_List_Obutlast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Obutlast(X2,X3),X3)
| X2 = c_List_Olist_ONil(X3) ),
cls_butlast_Osimps_I2_J_1,
[final] ).
cnf(i_0_690,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate(X3,X1,X2),X2) ),
cls_distinct__rotate_0,
[final] ).
cnf(i_0_691,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X1,X3,X2),X2) ),
cls_distinct__append_0,
[final] ).
cnf(i_0_692,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X3,X1,X2),X2) ),
cls_distinct__append_1,
[final] ).
cnf(i_0_693,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
cls_distinct_Osimps_I2_J_1,
[final] ).
cnf(i_0_694,axiom,
( c_List_Odrop(X1,X2,X3) = c_List_Olist_ONil(X3)
| ~ c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
cls_drop__all_0,
[final] ).
cnf(i_0_695,axiom,
( hBOOL(hAPP(X1,X4))
| c_List_Ofilter(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_filter__eq__ConsD_2,
[final] ).
cnf(i_0_696,axiom,
( hBOOL(hAPP(X4,X1))
| c_List_Olist_OCons(X1,X2,X3) != c_List_Ofilter(X4,X5,X3) ),
cls_Cons__eq__filterD_2,
[final] ).
cnf(i_0_697,axiom,
c_List_Odrop(X1,c_List_Otl(X2,X3),X3) = c_List_Otl(c_List_Odrop(X1,X2,X3),X3),
cls_drop__tl_0,
[final] ).
cnf(i_0_698,axiom,
c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3) = c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3),
cls_drop__butlast_0,
[final] ).
cnf(i_0_699,axiom,
c_List_Orotate1(c_List_Orotate(X1,X2,X3),X3) = c_List_Orotate(X1,c_List_Orotate1(X2,X3),X3),
cls_rotate1__rotate__swap_0,
[final] ).
cnf(i_0_700,axiom,
c_List_Oremdups(c_List_Ofilter(X1,X2,X3),X3) = c_List_Ofilter(X1,c_List_Oremdups(X2,X3),X3),
cls_remdups__filter_0,
[final] ).
cnf(i_0_701,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
cls_List_Oset_Osimps_I2_J_0,
[final] ).
cnf(i_0_702,axiom,
c_List_Otl(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otl(X2,X3),X3),
cls_tl__drop_0,
[final] ).
cnf(i_0_703,axiom,
c_List_Obutlast(c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Obutlast(X2,X3),X3),
cls_butlast__drop_0,
[final] ).
cnf(i_0_704,axiom,
( c_List_Olist__all(X1,X2,X3)
| ~ c_List_Olist__all(X1,hAPP(c_List_Orev(X3),X2),X3) ),
cls_list__all__rev_0,
[final] ).
cnf(i_0_705,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0,
[final] ).
cnf(i_0_706,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0,
[final] ).
cnf(i_0_707,axiom,
X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_List_Oappend(X1,X3,X2),X2),
cls_append__eq__conv__conj_0,
[final] ).
cnf(i_0_708,axiom,
X1 = c_List_Odrop(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_List_Oappend(X2,X1,X3),X3),
cls_append__eq__conv__conj_1,
[final] ).
cnf(i_0_709,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),
cls_rev__singleton__conv_1,
[final] ).
cnf(i_0_710,axiom,
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)),
cls_singleton__rev__conv_1,
[final] ).
cnf(i_0_711,axiom,
( c_List_Otake(X1,X2,X3) = X2
| ~ c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat) ),
cls_take__all_0,
[final] ).
cnf(i_0_712,axiom,
( c_List_Ofilter(X1,c_List_Oreplicate(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X1,X3)) ),
cls_filter__replicate_1,
[final] ).
cnf(i_0_713,axiom,
~ c_List_Onull(c_List_Olist_OCons(X1,X2,X3),X3),
cls_List_Onull_Osimps_I2_J_0,
[final] ).
cnf(i_0_714,axiom,
( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
| c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != hAPP(c_List_Orev(X2),X3) ),
cls_singleton__rev__conv_0,
[final] ).
cnf(i_0_715,axiom,
( X2 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1)
| hAPP(c_List_Orev(X1),X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1) ),
cls_rev__singleton__conv_0,
[final] ).
cnf(i_0_716,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_717,axiom,
( c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat)
| c_List_Odrop(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_drop__eq__Nil_0,
[final] ).
cnf(i_0_718,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0,
[final] ).
cnf(i_0_719,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__antisym_0,
[final] ).
cnf(i_0_720,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2,
[final] ).
cnf(i_0_721,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),
cls_length__remdups__leq_0,
[final] ).
cnf(i_0_722,axiom,
hAPP(c_List_Orev(X1),c_List_Oreplicate(X2,X3,X1)) = c_List_Oreplicate(X2,X3,X1),
cls_rev__replicate_0,
[final] ).
cnf(i_0_723,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_724,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_725,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),
cls_knows__Spy__Gets_0,
[final] ).
cnf(i_0_726,axiom,
( c_List_Olist__all(X1,hAPP(c_List_Orev(X2),X3),X2)
| ~ c_List_Olist__all(X1,X3,X2) ),
cls_list__all__rev_1,
[final] ).
cnf(i_0_727,axiom,
( X1 = X4
| c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
cls_replicate__eq__replicate_0,
[final] ).
cnf(i_0_728,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
cls_append__same__eq_0,
[final] ).
cnf(i_0_729,axiom,
( X1 = X4
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_list_Oinject_0,
[final] ).
cnf(i_0_730,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_0,
[final] ).
cnf(i_0_731,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
cls_same__append__eq_0,
[final] ).
cnf(i_0_732,axiom,
( X2 = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_list_Oinject_1,
[final] ).
cnf(i_0_733,axiom,
( X2 = X5
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_1,
[final] ).
cnf(i_0_734,axiom,
( X3 = X6
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_2,
[final] ).
cnf(i_0_735,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__antisym_0,
[final] ).
cnf(i_0_736,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_737,axiom,
c_List_Oremove1(X1,c_List_Olist_OCons(X1,X2,X3),X3) = X2,
cls_remove1_Osimps_I2_J_0,
[final] ).
cnf(i_0_738,axiom,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
cls_mod__less__eq__dividend_0,
[final] ).
cnf(i_0_739,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
cls_diff__le__self_0,
[final] ).
cnf(i_0_740,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremove1(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
cls_sorted__remove1_0,
[final] ).
cnf(i_0_741,axiom,
( c_List_Olinorder__class_Osorted(c_List_OdropWhile(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
cls_sorted__dropWhile_0,
[final] ).
cnf(i_0_742,axiom,
( c_List_Olinorder__class_Osorted(c_List_Otake(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
cls_sorted__take_0,
[final] ).
cnf(i_0_743,axiom,
( c_List_Olinorder__class_Osorted(c_List_Odrop(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1) ),
cls_sorted__drop_0,
[final] ).
cnf(i_0_744,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)),
cls_length__rotate_0,
[final] ).
cnf(i_0_745,axiom,
c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(X1),X2,X1),X1) = c_List_Ohd(X2,X1),
cls_hd__append_0,
[final] ).
cnf(i_0_746,axiom,
c_List_Olast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olast(X1,X2),
cls_last__append_0,
[final] ).
cnf(i_0_747,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
cls_butlast__append_0,
[final] ).
cnf(i_0_748,axiom,
( X2 = X3
| ~ class_Orderings_Olinorder(X1)
| c_List_Oset(X2,X1) != c_List_Oset(X3,X1)
| ~ c_List_Odistinct(X3,X1)
| ~ c_List_Olinorder__class_Osorted(X3,X1)
| ~ c_List_Odistinct(X2,X1)
| ~ c_List_Olinorder__class_Osorted(X2,X1) ),
cls_sorted__distinct__set__unique_0,
[final] ).
cnf(i_0_749,axiom,
( c_List_Odistinct(c_List_Osublist(X1,X2,X3),X3)
| ~ c_List_Odistinct(X1,X3) ),
cls_distinct__sublistI_0,
[final] ).
cnf(i_0_750,axiom,
( c_List_Odistinct(c_List_Oremove1(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__remove1_0,
[final] ).
cnf(i_0_751,axiom,
( c_List_Odistinct(c_List_OdropWhile(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__dropWhile_0,
[final] ).
cnf(i_0_752,axiom,
( c_List_Odistinct(c_List_Ofilter(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__filter_0,
[final] ).
cnf(i_0_753,axiom,
( c_List_Odistinct(c_List_Orotate(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__rotate_1,
[final] ).
cnf(i_0_754,axiom,
( c_List_Odistinct(c_List_Otake(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__take_0,
[final] ).
cnf(i_0_755,axiom,
( c_List_Odistinct(c_List_Odrop(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
cls_distinct__drop_0,
[final] ).
cnf(i_0_756,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_sorted_Osimps_I2_J_0,
[final] ).
cnf(i_0_757,axiom,
( c_List_Ohd(c_List_Oappend(X1,X2,X3),X3) = c_List_Ohd(X1,X3)
| X1 = c_List_Olist_ONil(X3) ),
cls_hd__append_1,
[final] ).
cnf(i_0_758,axiom,
( c_List_Olast(c_List_Oappend(X1,X2,X3),X3) = c_List_Olast(X2,X3)
| X2 = c_List_Olist_ONil(X3) ),
cls_last__append_1,
[final] ).
cnf(i_0_759,axiom,
( c_List_Olast(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olast(X2,X3)
| X2 = c_List_Olist_ONil(X3) ),
cls_last_Osimps_1,
[final] ).
cnf(i_0_760,axiom,
c_List_Obutlast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
cls_butlast_Osimps_I2_J_0,
[final] ).
cnf(i_0_761,axiom,
c_List_Oset(c_List_Orotate(X1,X2,X3),X3) = c_List_Oset(X2,X3),
cls_set__rotate_0,
[final] ).
cnf(i_0_762,axiom,
c_List_Olast(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = X1,
cls_last_Osimps_0,
[final] ).
cnf(i_0_763,plain,
c_lessequals(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rw,[status(thm)],[i_0_442,c_0_443]),
[final] ).
cnf(i_0_764,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xmap__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_map_Oinduct_0,
[final] ).
cnf(i_0_765,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xconcat__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_concat_Oinduct_0,
[final] ).
cnf(i_0_766,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xtake__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_take_Oinduct_0,
[final] ).
cnf(i_0_767,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xfoldl__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_foldl_Oinduct_0,
[final] ).
cnf(i_0_768,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlast__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_last_Oinduct_0,
[final] ).
cnf(i_0_769,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistsum__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_listsum_Oinduct_0,
[final] ).
cnf(i_0_770,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xdistinct__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_distinct_Oinduct_0,
[final] ).
cnf(i_0_771,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xremove1__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_remove1_Oinduct_0,
[final] ).
cnf(i_0_772,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlistset__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_listset_Oinduct_0,
[final] ).
cnf(i_0_773,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xzip__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_zip_Oinduct_0,
[final] ).
cnf(i_0_774,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XdropWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_dropWhile_Oinduct_0,
[final] ).
cnf(i_0_775,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XtakeWhile__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_takeWhile_Oinduct_0,
[final] ).
cnf(i_0_776,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__XremoveAll__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_removeAll_Oinduct_0,
[final] ).
cnf(i_0_777,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))) ),
cls_list__update_Oinduct_0,
[final] ).
cnf(i_0_778,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X1,v_sko__List__Xlist__Xinduct__2(X1)))
| ~ hBOOL(hAPP(X1,c_List_Olist_ONil(t_a))) ),
cls_list_Oinduct_0,
[final] ).
cnf(i_0_779,axiom,
c_Nat_Osize__class_Osize(c_List_Oreplicate(X1,X2,X3),tc_List_Olist(X3)) = X1,
cls_length__replicate_0,
[final] ).
cnf(i_0_780,axiom,
c_List_Ohd(c_List_Olist_OCons(X1,X2,X3),X3) = X1,
cls_hd_Osimps_0,
[final] ).
cnf(i_0_781,axiom,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
cls_tl_Osimps_I2_J_0,
[final] ).
cnf(i_0_782,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)) ),
cls_length__remdups__eq_0,
[final] ).
cnf(i_0_783,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_784,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
cls_event_Osimps_I4_J_0,
[final] ).
cnf(i_0_785,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
cls_event_Osimps_I5_J_0,
[final] ).
cnf(i_0_786,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0,
[final] ).
cnf(i_0_787,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_788,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))),
cls_conjecture_0,
[final] ).
cnf(i_0_789,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_append__is__Nil__conv_0,
[final] ).
cnf(i_0_790,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Orotate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_rotate__is__Nil__conv_0,
[final] ).
cnf(i_0_791,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_append__is__Nil__conv_1,
[final] ).
cnf(i_0_792,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
cls_Nil__is__append__conv_0,
[final] ).
cnf(i_0_793,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
cls_Nil__is__append__conv_1,
[final] ).
cnf(i_0_794,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(hAPP(c_List_Orev(X2),X1),X2) ),
cls_distinct__rev_0,
[final] ).
cnf(i_0_795,axiom,
~ c_List_Olist__ex(X1,c_List_Olist_ONil(X2),X2),
cls_list__ex_Osimps_I1_J_0,
[final] ).
cnf(i_0_796,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
cls_append__self__conv2_0,
[final] ).
cnf(i_0_797,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
cls_append__self__conv_0,
[final] ).
cnf(i_0_798,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
cls_self__append__conv_0,
[final] ).
cnf(i_0_799,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
cls_self__append__conv2_0,
[final] ).
cnf(i_0_800,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_list_Osimps_I3_J_0,
[final] ).
cnf(i_0_801,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_neq__Nil__conv_1,
[final] ).
cnf(i_0_802,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
cls_list_Osimps_I2_J_0,
[final] ).
cnf(i_0_803,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
cls_not__Cons__self2_0,
[final] ).
cnf(i_0_804,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
cls_not__Cons__self_0,
[final] ).
cnf(i_0_805,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)),
cls_length__rev_0,
[final] ).
cnf(i_0_806,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Orotate1(X1,X2),X2) ),
cls_distinct1__rotate_0,
[final] ).
cnf(i_0_807,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_808,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_809,axiom,
( c_List_Odistinct(hAPP(c_List_Orev(X1),X2),X1)
| ~ c_List_Odistinct(X2,X1) ),
cls_distinct__rev_1,
[final] ).
cnf(i_0_810,axiom,
( c_List_Olistsum(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olistsum(X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_listsum__rev_0,
[final] ).
cnf(i_0_811,axiom,
( c_List_Ohd(hAPP(c_List_Orev(X1),X2),X1) = c_List_Olast(X2,X1)
| X2 = c_List_Olist_ONil(X1) ),
cls_hd__rev_0,
[final] ).
cnf(i_0_812,axiom,
( c_List_Olast(hAPP(c_List_Orev(X1),X2),X1) = c_List_Ohd(X2,X1)
| X2 = c_List_Olist_ONil(X1) ),
cls_last__rev_0,
[final] ).
cnf(i_0_813,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_append__is__Nil__conv_2,
[final] ).
cnf(i_0_814,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
cls_Nil__is__append__conv_2,
[final] ).
cnf(i_0_815,axiom,
( c_List_Olinorder__class_Osorted(c_List_Oremdups(X2,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_List_Olinorder__class_Osorted(X2,X1) ),
cls_sorted__remdups_0,
[final] ).
cnf(i_0_816,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)),
cls_length__rotate1_0,
[final] ).
cnf(i_0_817,axiom,
c_List_Oset(hAPP(c_List_Orev(X1),X2),X1) = c_List_Oset(X2,X1),
cls_set__rev_0,
[final] ).
cnf(i_0_818,axiom,
( X2 = X3
| hAPP(c_List_Orev(X1),X2) != hAPP(c_List_Orev(X1),X3) ),
cls_rev__is__rev__conv_0,
[final] ).
cnf(i_0_819,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
cls_list__inter_Osimps_I1_J_0,
[final] ).
cnf(i_0_820,axiom,
c_List_Osublist(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
cls_sublist__nil_0,
[final] ).
cnf(i_0_821,axiom,
c_List_Oremove1(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_remove1_Osimps_I1_J_0,
[final] ).
cnf(i_0_822,axiom,
c_List_OdropWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_dropWhile_Osimps_I1_J_0,
[final] ).
cnf(i_0_823,axiom,
c_List_Ofilter(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_filter_Osimps_I1_J_0,
[final] ).
cnf(i_0_824,axiom,
c_List_Orotate(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_rotate__is__Nil__conv_1,
[final] ).
cnf(i_0_825,axiom,
c_List_Otake(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_take__eq__Nil_2,
[final] ).
cnf(i_0_826,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_drop__Nil_0,
[final] ).
cnf(i_0_827,axiom,
( c_List_Odistinct(c_List_Orotate1(X1,X2),X2)
| ~ c_List_Odistinct(X1,X2) ),
cls_distinct1__rotate_1,
[final] ).
cnf(i_0_828,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_829,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_830,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
cls_append__Nil_0,
[final] ).
cnf(i_0_831,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
cls_append__Nil2_0,
[final] ).
cnf(i_0_832,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_eq__Nil__appendI_0,
[final] ).
cnf(i_0_833,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_self__append__conv2_1,
[final] ).
cnf(i_0_834,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
cls_self__append__conv_1,
[final] ).
cnf(i_0_835,axiom,
c_List_Olistsp(X1,c_List_Olist_ONil(X2),X2),
cls_listsp_ONil_0,
[final] ).
cnf(i_0_836,axiom,
c_List_Olist__all(X1,c_List_Olist_ONil(X2),X2),
cls_list__all_Osimps_I1_J_0,
[final] ).
cnf(i_0_837,axiom,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
cls_rev__swap_1,
[final] ).
cnf(i_0_838,axiom,
hAPP(c_List_Orev(X1),hAPP(c_List_Orev(X1),X2)) = X2,
cls_rev__rev__ident_0,
[final] ).
cnf(i_0_839,axiom,
X1 = hAPP(c_List_Orev(X2),hAPP(c_List_Orev(X2),X1)),
cls_rev__swap_0,
[final] ).
cnf(i_0_840,axiom,
c_List_Oset(c_List_Orotate1(X1,X2),X2) = c_List_Oset(X1,X2),
cls_set__rotate1_0,
[final] ).
cnf(i_0_841,axiom,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
cls_set__remdups_0,
[final] ).
cnf(i_0_842,axiom,
c_lessequals(X1,X1,tc_nat),
cls_eq__imp__le_0,
[final] ).
cnf(i_0_843,axiom,
c_lessequals(X1,X1,tc_nat),
cls_le__refl_0,
[final] ).
cnf(i_0_844,axiom,
( X1 = X3
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
cls_event_Osimps_I2_J_0,
[final] ).
cnf(i_0_845,axiom,
( X2 = X4
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
cls_event_Osimps_I2_J_1,
[final] ).
cnf(i_0_846,axiom,
( X2 = c_List_Olist_ONil(X1)
| hAPP(c_List_Orev(X1),X2) != c_List_Olist_ONil(X1) ),
cls_rev__is__Nil__conv_0,
[final] ).
cnf(i_0_847,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != hAPP(c_List_Orev(X1),X2) ),
cls_Nil__is__rev__conv_0,
[final] ).
cnf(i_0_848,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
cls_distinct__remdups_0,
[final] ).
cnf(i_0_849,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
cls_remdups__id__iff__distinct_0,
[final] ).
cnf(i_0_850,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
cls_distinct__remdups__id_0,
[final] ).
cnf(i_0_851,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_852,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_853,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_854,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orotate1(X1,X2) != c_List_Olist_ONil(X2) ),
cls_rotate1__is__Nil__conv_0,
[final] ).
cnf(i_0_855,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
cls_remdups__eq__nil__iff_0,
[final] ).
cnf(i_0_856,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oremdups(X2,X1) ),
cls_remdups__eq__nil__right__iff_0,
[final] ).
cnf(i_0_857,axiom,
hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)) = c_List_Olist_ONil(X1),
cls_rev__is__Nil__conv_1,
[final] ).
cnf(i_0_858,axiom,
c_List_Olist_ONil(X1) = hAPP(c_List_Orev(X1),c_List_Olist_ONil(X1)),
cls_Nil__is__rev__conv_1,
[final] ).
cnf(i_0_859,axiom,
( X1 = c_List_Olist_ONil(X2)
| ~ c_List_Onull(X1,X2) ),
cls_empty__null_1,
[final] ).
cnf(i_0_860,axiom,
( c_List_Olinorder__class_Osorted(c_List_Olist_ONil(X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_sorted_Osimps_I1_J_0,
[final] ).
cnf(i_0_861,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_rotate__simps_0,
[final] ).
cnf(i_0_862,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_remdups__eq__nil__iff_1,
[final] ).
cnf(i_0_863,axiom,
c_List_Otl(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_tl_Osimps_I1_J_0,
[final] ).
cnf(i_0_864,axiom,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_butlast_Osimps_I1_J_0,
[final] ).
cnf(i_0_865,axiom,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
cls_remdups__eq__nil__right__iff_1,
[final] ).
cnf(i_0_866,axiom,
c_List_Onull(c_List_Olist_ONil(X1),X1),
cls_empty__null_0,
[final] ).
cnf(i_0_867,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
cls_distinct_Osimps_I1_J_0,
[final] ).
cnf(i_0_868,axiom,
( X1 = X2
| c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OFriend(X2) ),
cls_agent_Oinject_0,
[final] ).
cnf(i_0_869,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
cls_ns__sharedp_ONil_0,
[final] ).
cnf(i_0_870,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OServer,
cls_agent_Osimps_I3_J_0,
[final] ).
cnf(i_0_871,axiom,
c_Message_Oagent_OFriend(X1) != c_Message_Oagent_OSpy,
cls_agent_Osimps_I6_J_0,
[final] ).
cnf(i_0_872,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I2_J_0,
[final] ).
cnf(i_0_873,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X1),
cls_agent_Osimps_I7_J_0,
[final] ).
cnf(i_0_874,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
clsarity_nat__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_875,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_876,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_877,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_878,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_879,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_880,axiom,
class_Divides_Osemiring__div(tc_nat),
clsarity_nat__Divides_Osemiring__div,
[final] ).
cnf(i_0_881,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_882,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_883,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
cls_agent_Osimps_I5_J_0,
[final] ).
cnf(i_0_884,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0,
[final] ).
cnf(i_0_885,axiom,
X1 = X1 ).
cnf(i_0_886,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_887,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_888,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_889,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_890,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).
cnf(i_0_891,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).
cnf(i_0_892,axiom,
( X1 != X2
| c_List_Ofoldr(X1,X3,X4,X5,X6) = c_List_Ofoldr(X2,X3,X4,X5,X6) ) ).
cnf(i_0_893,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X1,X4,X5,X6) = c_List_Ofoldr(X3,X2,X4,X5,X6) ) ).
cnf(i_0_894,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X4,X1,X5,X6) = c_List_Ofoldr(X3,X4,X2,X5,X6) ) ).
cnf(i_0_895,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X4,X5,X1,X6) = c_List_Ofoldr(X3,X4,X5,X2,X6) ) ).
cnf(i_0_896,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X4,X5,X6,X1) = c_List_Ofoldr(X3,X4,X5,X6,X2) ) ).
cnf(i_0_897,axiom,
( X1 != X2
| c_List_Ofoldl(X1,X3,X4,X5,X6) = c_List_Ofoldl(X2,X3,X4,X5,X6) ) ).
cnf(i_0_898,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X1,X4,X5,X6) = c_List_Ofoldl(X3,X2,X4,X5,X6) ) ).
cnf(i_0_899,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X4,X1,X5,X6) = c_List_Ofoldl(X3,X4,X2,X5,X6) ) ).
cnf(i_0_900,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X4,X5,X1,X6) = c_List_Ofoldl(X3,X4,X5,X2,X6) ) ).
cnf(i_0_901,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X4,X5,X6,X1) = c_List_Ofoldl(X3,X4,X5,X6,X2) ) ).
cnf(i_0_902,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X1,X3,X4,X5,X6) = c_List_Olist_Olist__rec(X2,X3,X4,X5,X6) ) ).
cnf(i_0_903,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X1,X4,X5,X6) = c_List_Olist_Olist__rec(X3,X2,X4,X5,X6) ) ).
cnf(i_0_904,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X4,X1,X5,X6) = c_List_Olist_Olist__rec(X3,X4,X2,X5,X6) ) ).
cnf(i_0_905,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X4,X5,X1,X6) = c_List_Olist_Olist__rec(X3,X4,X5,X2,X6) ) ).
cnf(i_0_906,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X4,X5,X6,X1) = c_List_Olist_Olist__rec(X3,X4,X5,X6,X2) ) ).
cnf(i_0_907,axiom,
( X1 != X2
| c_List_Otake(X1,X3,X4) = c_List_Otake(X2,X3,X4) ) ).
cnf(i_0_908,axiom,
( X1 != X2
| c_List_Otake(X3,X1,X4) = c_List_Otake(X3,X2,X4) ) ).
cnf(i_0_909,axiom,
( X1 != X2
| c_List_Otake(X3,X4,X1) = c_List_Otake(X3,X4,X2) ) ).
cnf(i_0_910,axiom,
( X1 != X2
| c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).
cnf(i_0_911,axiom,
( X1 != X2
| c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).
cnf(i_0_912,axiom,
( X1 != X2
| c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).
cnf(i_0_913,axiom,
( X1 != X2
| c_Map_Omap__upds(X1,X3,X4,X5,X6) = c_Map_Omap__upds(X2,X3,X4,X5,X6) ) ).
cnf(i_0_914,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X1,X4,X5,X6) = c_Map_Omap__upds(X3,X2,X4,X5,X6) ) ).
cnf(i_0_915,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X4,X1,X5,X6) = c_Map_Omap__upds(X3,X4,X2,X5,X6) ) ).
cnf(i_0_916,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X4,X5,X1,X6) = c_Map_Omap__upds(X3,X4,X5,X2,X6) ) ).
cnf(i_0_917,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X4,X5,X6,X1) = c_Map_Omap__upds(X3,X4,X5,X6,X2) ) ).
cnf(i_0_918,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X1,X3,X4,X5,X6) = c_List_Olist_Olist__case(X2,X3,X4,X5,X6) ) ).
cnf(i_0_919,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X1,X4,X5,X6) = c_List_Olist_Olist__case(X3,X2,X4,X5,X6) ) ).
cnf(i_0_920,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X4,X1,X5,X6) = c_List_Olist_Olist__case(X3,X4,X2,X5,X6) ) ).
cnf(i_0_921,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X4,X5,X1,X6) = c_List_Olist_Olist__case(X3,X4,X5,X2,X6) ) ).
cnf(i_0_922,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X4,X5,X6,X1) = c_List_Olist_Olist__case(X3,X4,X5,X6,X2) ) ).
cnf(i_0_923,axiom,
( X1 != X2
| c_List_Omap(X1,X3,X4,X5) = c_List_Omap(X2,X3,X4,X5) ) ).
cnf(i_0_924,axiom,
( X1 != X2
| c_List_Omap(X3,X1,X4,X5) = c_List_Omap(X3,X2,X4,X5) ) ).
cnf(i_0_925,axiom,
( X1 != X2
| c_List_Omap(X3,X4,X1,X5) = c_List_Omap(X3,X4,X2,X5) ) ).
cnf(i_0_926,axiom,
( X1 != X2
| c_List_Omap(X3,X4,X5,X1) = c_List_Omap(X3,X4,X5,X2) ) ).
cnf(i_0_927,axiom,
( X1 != X2
| c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).
cnf(i_0_928,axiom,
( X1 != X2
| c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).
cnf(i_0_929,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).
cnf(i_0_930,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).
cnf(i_0_931,axiom,
( X1 != X2
| c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).
cnf(i_0_932,axiom,
( X1 != X2
| c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).
cnf(i_0_933,axiom,
( X1 != X2
| c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).
cnf(i_0_934,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_935,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_936,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_937,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X1,X3,X4) = c_Divides_Odiv__class_Omod(X2,X3,X4) ) ).
cnf(i_0_938,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X1,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ) ).
cnf(i_0_939,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X4,X1) = c_Divides_Odiv__class_Omod(X3,X4,X2) ) ).
cnf(i_0_940,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_941,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_942,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_943,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_944,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_945,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X1,X3,X4,X5,X6) = c_Message_Oagent_Oagent__rec(X2,X3,X4,X5,X6) ) ).
cnf(i_0_946,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X1,X4,X5,X6) = c_Message_Oagent_Oagent__rec(X3,X2,X4,X5,X6) ) ).
cnf(i_0_947,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X4,X1,X5,X6) = c_Message_Oagent_Oagent__rec(X3,X4,X2,X5,X6) ) ).
cnf(i_0_948,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X4,X5,X1,X6) = c_Message_Oagent_Oagent__rec(X3,X4,X5,X2,X6) ) ).
cnf(i_0_949,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X4,X5,X6,X1) = c_Message_Oagent_Oagent__rec(X3,X4,X5,X6,X2) ) ).
cnf(i_0_950,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_951,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_952,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_953,axiom,
( X1 != X2
| c_List_OdropWhile(X1,X3,X4) = c_List_OdropWhile(X2,X3,X4) ) ).
cnf(i_0_954,axiom,
( X1 != X2
| c_List_OdropWhile(X3,X1,X4) = c_List_OdropWhile(X3,X2,X4) ) ).
cnf(i_0_955,axiom,
( X1 != X2
| c_List_OdropWhile(X3,X4,X1) = c_List_OdropWhile(X3,X4,X2) ) ).
cnf(i_0_956,axiom,
( X1 != X2
| c_List_Ohd(X1,X3) = c_List_Ohd(X2,X3) ) ).
cnf(i_0_957,axiom,
( X1 != X2
| c_List_Ohd(X3,X1) = c_List_Ohd(X3,X2) ) ).
cnf(i_0_958,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_959,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_960,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_961,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_962,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_963,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_964,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_965,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_966,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_967,axiom,
( X1 != X2
| c_List_Olistsum(X1,X3) = c_List_Olistsum(X2,X3) ) ).
cnf(i_0_968,axiom,
( X1 != X2
| c_List_Olistsum(X3,X1) = c_List_Olistsum(X3,X2) ) ).
cnf(i_0_969,axiom,
( X1 != X2
| c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).
cnf(i_0_970,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).
cnf(i_0_971,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).
cnf(i_0_972,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X1,X3,X4,X5,X6) = c_Message_Oagent_Oagent__case(X2,X3,X4,X5,X6) ) ).
cnf(i_0_973,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X1,X4,X5,X6) = c_Message_Oagent_Oagent__case(X3,X2,X4,X5,X6) ) ).
cnf(i_0_974,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X4,X1,X5,X6) = c_Message_Oagent_Oagent__case(X3,X4,X2,X5,X6) ) ).
cnf(i_0_975,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X4,X5,X1,X6) = c_Message_Oagent_Oagent__case(X3,X4,X5,X2,X6) ) ).
cnf(i_0_976,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X4,X5,X6,X1) = c_Message_Oagent_Oagent__case(X3,X4,X5,X6,X2) ) ).
cnf(i_0_977,axiom,
( X1 != X2
| c_Message_Oagent_OFriend(X1) = c_Message_Oagent_OFriend(X2) ) ).
cnf(i_0_978,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).
cnf(i_0_979,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).
cnf(i_0_980,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_981,axiom,
( X1 != X2
| c_List_Ofilter(X1,X3,X4) = c_List_Ofilter(X2,X3,X4) ) ).
cnf(i_0_982,axiom,
( X1 != X2
| c_List_Ofilter(X3,X1,X4) = c_List_Ofilter(X3,X2,X4) ) ).
cnf(i_0_983,axiom,
( X1 != X2
| c_List_Ofilter(X3,X4,X1) = c_List_Ofilter(X3,X4,X2) ) ).
cnf(i_0_984,axiom,
( X1 != X2
| c_List_Olast(X1,X3) = c_List_Olast(X2,X3) ) ).
cnf(i_0_985,axiom,
( X1 != X2
| c_List_Olast(X3,X1) = c_List_Olast(X3,X2) ) ).
cnf(i_0_986,axiom,
( X1 != X2
| c_List_Obutlast(X1,X3) = c_List_Obutlast(X2,X3) ) ).
cnf(i_0_987,axiom,
( X1 != X2
| c_List_Obutlast(X3,X1) = c_List_Obutlast(X3,X2) ) ).
cnf(i_0_988,axiom,
( X1 != X2
| c_List_Osublist(X1,X3,X4) = c_List_Osublist(X2,X3,X4) ) ).
cnf(i_0_989,axiom,
( X1 != X2
| c_List_Osublist(X3,X1,X4) = c_List_Osublist(X3,X2,X4) ) ).
cnf(i_0_990,axiom,
( X1 != X2
| c_List_Osublist(X3,X4,X1) = c_List_Osublist(X3,X4,X2) ) ).
cnf(i_0_991,axiom,
( X1 != X2
| c_List_Oremove1(X1,X3,X4) = c_List_Oremove1(X2,X3,X4) ) ).
cnf(i_0_992,axiom,
( X1 != X2
| c_List_Oremove1(X3,X1,X4) = c_List_Oremove1(X3,X2,X4) ) ).
cnf(i_0_993,axiom,
( X1 != X2
| c_List_Oremove1(X3,X4,X1) = c_List_Oremove1(X3,X4,X2) ) ).
cnf(i_0_994,axiom,
( X1 != X2
| c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).
cnf(i_0_995,axiom,
( X1 != X2
| c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).
cnf(i_0_996,axiom,
( X1 != X2
| c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).
cnf(i_0_997,axiom,
( X1 != X2
| c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).
cnf(i_0_998,axiom,
( X1 != X2
| c_List_Ofiltermap(X1,X3,X4,X5) = c_List_Ofiltermap(X2,X3,X4,X5) ) ).
cnf(i_0_999,axiom,
( X1 != X2
| c_List_Ofiltermap(X3,X1,X4,X5) = c_List_Ofiltermap(X3,X2,X4,X5) ) ).
cnf(i_0_1000,axiom,
( X1 != X2
| c_List_Ofiltermap(X3,X4,X1,X5) = c_List_Ofiltermap(X3,X4,X2,X5) ) ).
cnf(i_0_1001,axiom,
( X1 != X2
| c_List_Ofiltermap(X3,X4,X5,X1) = c_List_Ofiltermap(X3,X4,X5,X2) ) ).
cnf(i_0_1002,axiom,
( X1 != X2
| c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).
cnf(i_0_1003,axiom,
( X1 != X2
| c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).
cnf(i_0_1004,axiom,
( X1 != X2
| c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).
cnf(i_0_1005,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).
cnf(i_0_1006,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).
cnf(i_0_1007,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1008,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1009,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1010,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1011,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1012,axiom,
( X1 != X2
| ~ c_List_Olist__ex(X1,X3,X4)
| c_List_Olist__ex(X2,X3,X4) ) ).
cnf(i_0_1013,axiom,
( X1 != X2
| ~ c_List_Olist__ex(X3,X1,X4)
| c_List_Olist__ex(X3,X2,X4) ) ).
cnf(i_0_1014,axiom,
( X1 != X2
| ~ c_List_Olist__ex(X3,X4,X1)
| c_List_Olist__ex(X3,X4,X2) ) ).
cnf(i_0_1015,axiom,
( X1 != X2
| ~ c_List_Olistsp(X1,X3,X4)
| c_List_Olistsp(X2,X3,X4) ) ).
cnf(i_0_1016,axiom,
( X1 != X2
| ~ c_List_Olistsp(X3,X1,X4)
| c_List_Olistsp(X3,X2,X4) ) ).
cnf(i_0_1017,axiom,
( X1 != X2
| ~ c_List_Olistsp(X3,X4,X1)
| c_List_Olistsp(X3,X4,X2) ) ).
cnf(i_0_1018,axiom,
( X1 != X2
| ~ c_List_Olist__all(X1,X3,X4)
| c_List_Olist__all(X2,X3,X4) ) ).
cnf(i_0_1019,axiom,
( X1 != X2
| ~ c_List_Olist__all(X3,X1,X4)
| c_List_Olist__all(X3,X2,X4) ) ).
cnf(i_0_1020,axiom,
( X1 != X2
| ~ c_List_Olist__all(X3,X4,X1)
| c_List_Olist__all(X3,X4,X2) ) ).
cnf(i_0_1021,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1022,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1023,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1024,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1025,axiom,
( X1 != X2
| ~ class_Divides_Osemiring__div(X1)
| class_Divides_Osemiring__div(X2) ) ).
cnf(i_0_1026,axiom,
( X1 != X2
| ~ c_List_Onull(X1,X3)
| c_List_Onull(X2,X3) ) ).
cnf(i_0_1027,axiom,
( X1 != X2
| ~ c_List_Onull(X3,X1)
| c_List_Onull(X3,X2) ) ).
cnf(i_0_1028,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X1,X3,X4,X5,X6)
| c_List_Olist__all2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1029,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X1,X4,X5,X6)
| c_List_Olist__all2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1030,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X1,X5,X6)
| c_List_Olist__all2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1031,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X1,X6)
| c_List_Olist__all2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1032,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X6,X1)
| c_List_Olist__all2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1033,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1034,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1035,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1036,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1037,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1038,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1039,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1040,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1041,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1042,axiom,
( X1 != X2
| ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X2,X3) ) ).
cnf(i_0_1043,axiom,
( X1 != X2
| ~ c_List_Odistinct(X3,X1)
| c_List_Odistinct(X3,X2) ) ).
cnf(i_0_1044,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X1,X3,X4,X5)
| c_List_Olistrelp(X2,X3,X4,X5) ) ).
cnf(i_0_1045,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X3,X1,X4,X5)
| c_List_Olistrelp(X3,X2,X4,X5) ) ).
cnf(i_0_1046,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X3,X4,X1,X5)
| c_List_Olistrelp(X3,X4,X2,X5) ) ).
cnf(i_0_1047,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X3,X4,X5,X1)
| c_List_Olistrelp(X3,X4,X5,X2) ) ).
cnf(i_0_1048,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1049,axiom,
( X1 != X2
| ~ class_Divides_Oring__div(X1)
| class_Divides_Oring__div(X2) ) ).
cnf(i_0_1050,axiom,
( X1 != X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| c_List_Olinorder__class_Osorted(X2,X3) ) ).
cnf(i_0_1051,axiom,
( X1 != X2
| ~ c_List_Olinorder__class_Osorted(X3,X1)
| c_List_Olinorder__class_Osorted(X3,X2) ) ).
cnf(i_0_885_001,axiom,
X1 = X1 ).
cnf(i_0_886_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_887_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_888_004,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_889_005,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_890_006,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).
cnf(i_0_891_007,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).
cnf(i_0_892_008,axiom,
( X1 != X2
| c_List_Ofoldr(X1,X3,X4,X5,X6) = c_List_Ofoldr(X2,X3,X4,X5,X6) ) ).
cnf(i_0_893_009,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X1,X4,X5,X6) = c_List_Ofoldr(X3,X2,X4,X5,X6) ) ).
cnf(i_0_894_010,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X4,X1,X5,X6) = c_List_Ofoldr(X3,X4,X2,X5,X6) ) ).
cnf(i_0_895_011,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X4,X5,X1,X6) = c_List_Ofoldr(X3,X4,X5,X2,X6) ) ).
cnf(i_0_896_012,axiom,
( X1 != X2
| c_List_Ofoldr(X3,X4,X5,X6,X1) = c_List_Ofoldr(X3,X4,X5,X6,X2) ) ).
cnf(i_0_897_013,axiom,
( X1 != X2
| c_List_Ofoldl(X1,X3,X4,X5,X6) = c_List_Ofoldl(X2,X3,X4,X5,X6) ) ).
cnf(i_0_898_014,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X1,X4,X5,X6) = c_List_Ofoldl(X3,X2,X4,X5,X6) ) ).
cnf(i_0_899_015,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X4,X1,X5,X6) = c_List_Ofoldl(X3,X4,X2,X5,X6) ) ).
cnf(i_0_900_016,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X4,X5,X1,X6) = c_List_Ofoldl(X3,X4,X5,X2,X6) ) ).
cnf(i_0_901_017,axiom,
( X1 != X2
| c_List_Ofoldl(X3,X4,X5,X6,X1) = c_List_Ofoldl(X3,X4,X5,X6,X2) ) ).
cnf(i_0_902_018,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X1,X3,X4,X5,X6) = c_List_Olist_Olist__rec(X2,X3,X4,X5,X6) ) ).
cnf(i_0_903_019,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X1,X4,X5,X6) = c_List_Olist_Olist__rec(X3,X2,X4,X5,X6) ) ).
cnf(i_0_904_020,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X4,X1,X5,X6) = c_List_Olist_Olist__rec(X3,X4,X2,X5,X6) ) ).
cnf(i_0_905_021,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X4,X5,X1,X6) = c_List_Olist_Olist__rec(X3,X4,X5,X2,X6) ) ).
cnf(i_0_906_022,axiom,
( X1 != X2
| c_List_Olist_Olist__rec(X3,X4,X5,X6,X1) = c_List_Olist_Olist__rec(X3,X4,X5,X6,X2) ) ).
cnf(i_0_907_023,axiom,
( X1 != X2
| c_List_Otake(X1,X3,X4) = c_List_Otake(X2,X3,X4) ) ).
cnf(i_0_908_024,axiom,
( X1 != X2
| c_List_Otake(X3,X1,X4) = c_List_Otake(X3,X2,X4) ) ).
cnf(i_0_909_025,axiom,
( X1 != X2
| c_List_Otake(X3,X4,X1) = c_List_Otake(X3,X4,X2) ) ).
cnf(i_0_910_026,axiom,
( X1 != X2
| c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).
cnf(i_0_911_027,axiom,
( X1 != X2
| c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).
cnf(i_0_912_028,axiom,
( X1 != X2
| c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).
cnf(i_0_913_029,axiom,
( X1 != X2
| c_Map_Omap__upds(X1,X3,X4,X5,X6) = c_Map_Omap__upds(X2,X3,X4,X5,X6) ) ).
cnf(i_0_914_030,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X1,X4,X5,X6) = c_Map_Omap__upds(X3,X2,X4,X5,X6) ) ).
cnf(i_0_915_031,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X4,X1,X5,X6) = c_Map_Omap__upds(X3,X4,X2,X5,X6) ) ).
cnf(i_0_916_032,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X4,X5,X1,X6) = c_Map_Omap__upds(X3,X4,X5,X2,X6) ) ).
cnf(i_0_917_033,axiom,
( X1 != X2
| c_Map_Omap__upds(X3,X4,X5,X6,X1) = c_Map_Omap__upds(X3,X4,X5,X6,X2) ) ).
cnf(i_0_918_034,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X1,X3,X4,X5,X6) = c_List_Olist_Olist__case(X2,X3,X4,X5,X6) ) ).
cnf(i_0_919_035,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X1,X4,X5,X6) = c_List_Olist_Olist__case(X3,X2,X4,X5,X6) ) ).
cnf(i_0_920_036,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X4,X1,X5,X6) = c_List_Olist_Olist__case(X3,X4,X2,X5,X6) ) ).
cnf(i_0_921_037,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X4,X5,X1,X6) = c_List_Olist_Olist__case(X3,X4,X5,X2,X6) ) ).
cnf(i_0_922_038,axiom,
( X1 != X2
| c_List_Olist_Olist__case(X3,X4,X5,X6,X1) = c_List_Olist_Olist__case(X3,X4,X5,X6,X2) ) ).
cnf(i_0_923_039,axiom,
( X1 != X2
| c_List_Omap(X1,X3,X4,X5) = c_List_Omap(X2,X3,X4,X5) ) ).
cnf(i_0_924_040,axiom,
( X1 != X2
| c_List_Omap(X3,X1,X4,X5) = c_List_Omap(X3,X2,X4,X5) ) ).
cnf(i_0_925_041,axiom,
( X1 != X2
| c_List_Omap(X3,X4,X1,X5) = c_List_Omap(X3,X4,X2,X5) ) ).
cnf(i_0_926_042,axiom,
( X1 != X2
| c_List_Omap(X3,X4,X5,X1) = c_List_Omap(X3,X4,X5,X2) ) ).
cnf(i_0_927_043,axiom,
( X1 != X2
| c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).
cnf(i_0_928_044,axiom,
( X1 != X2
| c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).
cnf(i_0_929_045,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).
cnf(i_0_930_046,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).
cnf(i_0_931_047,axiom,
( X1 != X2
| c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).
cnf(i_0_932_048,axiom,
( X1 != X2
| c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).
cnf(i_0_933_049,axiom,
( X1 != X2
| c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).
cnf(i_0_934_050,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_935_051,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_936_052,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_937_053,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X1,X3,X4) = c_Divides_Odiv__class_Omod(X2,X3,X4) ) ).
cnf(i_0_938_054,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X1,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ) ).
cnf(i_0_939_055,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X4,X1) = c_Divides_Odiv__class_Omod(X3,X4,X2) ) ).
cnf(i_0_940_056,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_941_057,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_942_058,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_943_059,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_944_060,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_945_061,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X1,X3,X4,X5,X6) = c_Message_Oagent_Oagent__rec(X2,X3,X4,X5,X6) ) ).
cnf(i_0_946_062,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X1,X4,X5,X6) = c_Message_Oagent_Oagent__rec(X3,X2,X4,X5,X6) ) ).
cnf(i_0_947_063,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X4,X1,X5,X6) = c_Message_Oagent_Oagent__rec(X3,X4,X2,X5,X6) ) ).
cnf(i_0_948_064,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X4,X5,X1,X6) = c_Message_Oagent_Oagent__rec(X3,X4,X5,X2,X6) ) ).
cnf(i_0_949_065,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__rec(X3,X4,X5,X6,X1) = c_Message_Oagent_Oagent__rec(X3,X4,X5,X6,X2) ) ).
cnf(i_0_950_066,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_951_067,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_952_068,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_953_069,axiom,
( X1 != X2
| c_List_OdropWhile(X1,X3,X4) = c_List_OdropWhile(X2,X3,X4) ) ).
cnf(i_0_954_070,axiom,
( X1 != X2
| c_List_OdropWhile(X3,X1,X4) = c_List_OdropWhile(X3,X2,X4) ) ).
cnf(i_0_955_071,axiom,
( X1 != X2
| c_List_OdropWhile(X3,X4,X1) = c_List_OdropWhile(X3,X4,X2) ) ).
cnf(i_0_956_072,axiom,
( X1 != X2
| c_List_Ohd(X1,X3) = c_List_Ohd(X2,X3) ) ).
cnf(i_0_957_073,axiom,
( X1 != X2
| c_List_Ohd(X3,X1) = c_List_Ohd(X3,X2) ) ).
cnf(i_0_958_074,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_959_075,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_960_076,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_961_077,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_962_078,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_963_079,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X1,X3,X4,X5) = c_Finite__Set_Osetsum(X2,X3,X4,X5) ) ).
cnf(i_0_964_080,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X1,X4,X5) = c_Finite__Set_Osetsum(X3,X2,X4,X5) ) ).
cnf(i_0_965_081,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X1,X5) = c_Finite__Set_Osetsum(X3,X4,X2,X5) ) ).
cnf(i_0_966_082,axiom,
( X1 != X2
| c_Finite__Set_Osetsum(X3,X4,X5,X1) = c_Finite__Set_Osetsum(X3,X4,X5,X2) ) ).
cnf(i_0_967_083,axiom,
( X1 != X2
| c_List_Olistsum(X1,X3) = c_List_Olistsum(X2,X3) ) ).
cnf(i_0_968_084,axiom,
( X1 != X2
| c_List_Olistsum(X3,X1) = c_List_Olistsum(X3,X2) ) ).
cnf(i_0_969_085,axiom,
( X1 != X2
| c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).
cnf(i_0_970_086,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).
cnf(i_0_971_087,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).
cnf(i_0_972_088,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X1,X3,X4,X5,X6) = c_Message_Oagent_Oagent__case(X2,X3,X4,X5,X6) ) ).
cnf(i_0_973_089,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X1,X4,X5,X6) = c_Message_Oagent_Oagent__case(X3,X2,X4,X5,X6) ) ).
cnf(i_0_974_090,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X4,X1,X5,X6) = c_Message_Oagent_Oagent__case(X3,X4,X2,X5,X6) ) ).
cnf(i_0_975_091,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X4,X5,X1,X6) = c_Message_Oagent_Oagent__case(X3,X4,X5,X2,X6) ) ).
cnf(i_0_976_092,axiom,
( X1 != X2
| c_Message_Oagent_Oagent__case(X3,X4,X5,X6,X1) = c_Message_Oagent_Oagent__case(X3,X4,X5,X6,X2) ) ).
cnf(i_0_977_093,axiom,
( X1 != X2
| c_Message_Oagent_OFriend(X1) = c_Message_Oagent_OFriend(X2) ) ).
cnf(i_0_978_094,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).
cnf(i_0_979_095,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).
cnf(i_0_980_096,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_981_097,axiom,
( X1 != X2
| c_List_Ofilter(X1,X3,X4) = c_List_Ofilter(X2,X3,X4) ) ).
cnf(i_0_982_098,axiom,
( X1 != X2
| c_List_Ofilter(X3,X1,X4) = c_List_Ofilter(X3,X2,X4) ) ).
cnf(i_0_983_099,axiom,
( X1 != X2
| c_List_Ofilter(X3,X4,X1) = c_List_Ofilter(X3,X4,X2) ) ).
cnf(i_0_984_100,axiom,
( X1 != X2
| c_List_Olast(X1,X3) = c_List_Olast(X2,X3) ) ).
cnf(i_0_985_101,axiom,
( X1 != X2
| c_List_Olast(X3,X1) = c_List_Olast(X3,X2) ) ).
cnf(i_0_986_102,axiom,
( X1 != X2
| c_List_Obutlast(X1,X3) = c_List_Obutlast(X2,X3) ) ).
cnf(i_0_987_103,axiom,
( X1 != X2
| c_List_Obutlast(X3,X1) = c_List_Obutlast(X3,X2) ) ).
cnf(i_0_988_104,axiom,
( X1 != X2
| c_List_Osublist(X1,X3,X4) = c_List_Osublist(X2,X3,X4) ) ).
cnf(i_0_989_105,axiom,
( X1 != X2
| c_List_Osublist(X3,X1,X4) = c_List_Osublist(X3,X2,X4) ) ).
cnf(i_0_990_106,axiom,
( X1 != X2
| c_List_Osublist(X3,X4,X1) = c_List_Osublist(X3,X4,X2) ) ).
cnf(i_0_991_107,axiom,
( X1 != X2
| c_List_Oremove1(X1,X3,X4) = c_List_Oremove1(X2,X3,X4) ) ).
cnf(i_0_992_108,axiom,
( X1 != X2
| c_List_Oremove1(X3,X1,X4) = c_List_Oremove1(X3,X2,X4) ) ).
cnf(i_0_993_109,axiom,
( X1 != X2
| c_List_Oremove1(X3,X4,X1) = c_List_Oremove1(X3,X4,X2) ) ).
cnf(i_0_994_110,axiom,
( X1 != X2
| c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).
cnf(i_0_995_111,axiom,
( X1 != X2
| c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).
cnf(i_0_996_112,axiom,
( X1 != X2
| c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).
cnf(i_0_997_113,axiom,
( X1 != X2
| c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).
cnf(i_0_998_114,axiom,
( X1 != X2
| c_List_Ofiltermap(X1,X3,X4,X5) = c_List_Ofiltermap(X2,X3,X4,X5) ) ).
cnf(i_0_999_115,axiom,
( X1 != X2
| c_List_Ofiltermap(X3,X1,X4,X5) = c_List_Ofiltermap(X3,X2,X4,X5) ) ).
cnf(i_0_1000_116,axiom,
( X1 != X2
| c_List_Ofiltermap(X3,X4,X1,X5) = c_List_Ofiltermap(X3,X4,X2,X5) ) ).
cnf(i_0_1001_117,axiom,
( X1 != X2
| c_List_Ofiltermap(X3,X4,X5,X1) = c_List_Ofiltermap(X3,X4,X5,X2) ) ).
cnf(i_0_1002_118,axiom,
( X1 != X2
| c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).
cnf(i_0_1003_119,axiom,
( X1 != X2
| c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).
cnf(i_0_1004_120,axiom,
( X1 != X2
| c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).
cnf(i_0_1005_121,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).
cnf(i_0_1006_122,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).
cnf(i_0_1007_123,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1008_124,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1009_125,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1010_126,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1011_127,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1012_128,axiom,
( X1 != X2
| ~ c_List_Olist__ex(X1,X3,X4)
| c_List_Olist__ex(X2,X3,X4) ) ).
cnf(i_0_1013_129,axiom,
( X1 != X2
| ~ c_List_Olist__ex(X3,X1,X4)
| c_List_Olist__ex(X3,X2,X4) ) ).
cnf(i_0_1014_130,axiom,
( X1 != X2
| ~ c_List_Olist__ex(X3,X4,X1)
| c_List_Olist__ex(X3,X4,X2) ) ).
cnf(i_0_1015_131,axiom,
( X1 != X2
| ~ c_List_Olistsp(X1,X3,X4)
| c_List_Olistsp(X2,X3,X4) ) ).
cnf(i_0_1016_132,axiom,
( X1 != X2
| ~ c_List_Olistsp(X3,X1,X4)
| c_List_Olistsp(X3,X2,X4) ) ).
cnf(i_0_1017_133,axiom,
( X1 != X2
| ~ c_List_Olistsp(X3,X4,X1)
| c_List_Olistsp(X3,X4,X2) ) ).
cnf(i_0_1018_134,axiom,
( X1 != X2
| ~ c_List_Olist__all(X1,X3,X4)
| c_List_Olist__all(X2,X3,X4) ) ).
cnf(i_0_1019_135,axiom,
( X1 != X2
| ~ c_List_Olist__all(X3,X1,X4)
| c_List_Olist__all(X3,X2,X4) ) ).
cnf(i_0_1020_136,axiom,
( X1 != X2
| ~ c_List_Olist__all(X3,X4,X1)
| c_List_Olist__all(X3,X4,X2) ) ).
cnf(i_0_1021_137,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1022_138,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1023_139,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1024_140,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1025_141,axiom,
( X1 != X2
| ~ class_Divides_Osemiring__div(X1)
| class_Divides_Osemiring__div(X2) ) ).
cnf(i_0_1026_142,axiom,
( X1 != X2
| ~ c_List_Onull(X1,X3)
| c_List_Onull(X2,X3) ) ).
cnf(i_0_1027_143,axiom,
( X1 != X2
| ~ c_List_Onull(X3,X1)
| c_List_Onull(X3,X2) ) ).
cnf(i_0_1028_144,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X1,X3,X4,X5,X6)
| c_List_Olist__all2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1029_145,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X1,X4,X5,X6)
| c_List_Olist__all2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1030_146,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X1,X5,X6)
| c_List_Olist__all2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1031_147,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X1,X6)
| c_List_Olist__all2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1032_148,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X6,X1)
| c_List_Olist__all2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1033_149,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1034_150,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1035_151,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1036_152,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1037_153,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1038_154,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1039_155,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1040_156,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1041_157,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1042_158,axiom,
( X1 != X2
| ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X2,X3) ) ).
cnf(i_0_1043_159,axiom,
( X1 != X2
| ~ c_List_Odistinct(X3,X1)
| c_List_Odistinct(X3,X2) ) ).
cnf(i_0_1044_160,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X1,X3,X4,X5)
| c_List_Olistrelp(X2,X3,X4,X5) ) ).
cnf(i_0_1045_161,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X3,X1,X4,X5)
| c_List_Olistrelp(X3,X2,X4,X5) ) ).
cnf(i_0_1046_162,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X3,X4,X1,X5)
| c_List_Olistrelp(X3,X4,X2,X5) ) ).
cnf(i_0_1047_163,axiom,
( X1 != X2
| ~ c_List_Olistrelp(X3,X4,X5,X1)
| c_List_Olistrelp(X3,X4,X5,X2) ) ).
cnf(i_0_1048_164,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1049_165,axiom,
( X1 != X2
| ~ class_Divides_Oring__div(X1)
| class_Divides_Oring__div(X2) ) ).
cnf(i_0_1050_166,axiom,
( X1 != X2
| ~ c_List_Olinorder__class_Osorted(X1,X3)
| c_List_Olinorder__class_Osorted(X2,X3) ) ).
cnf(i_0_1051_167,axiom,
( X1 != X2
| ~ c_List_Olinorder__class_Osorted(X3,X1)
| c_List_Olinorder__class_Osorted(X3,X2) ) ).
cnf(i_0_1052,plain,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X6,X3,X7,X1,X5)
| X1 = c_Message_Oagent_OServer ),
inference(equality_inference,[],[473]) ).
cnf(i_0_1053,plain,
( c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X6,X2,X3,X4,X5)
| X4 = c_Message_Oagent_OServer ),
inference(equality_inference,[],[474]) ).
cnf(i_0_1054,plain,
( X1 = c_Message_Oagent_OSpy
| c_Message_Oagent_Oagent__case(X2,X3,X4,X1,X5) = c_Message_Oagent_Oagent__case(X2,X3,X6,X1,X5) ),
inference(equality_inference,[],[475]) ).
cnf(i_0_1055,plain,
c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5) = c_Message_Oagent_Oagent__case(X1,X2,X3,X4,X5),
inference(equality_inference,[],[476]) ).
cnf(i_0_1056,plain,
( c_List_Olist__all2(X1,X2,X2,X3,X3)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X4,X3),c_List_Oappend(X2,X5,X3),X3,X3) ),
inference(equality_inference,[],[479]) ).
cnf(i_0_1057,plain,
( c_List_Olist__all2(X1,X2,X3,X4,X4)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X5,X2,X4),c_List_Oappend(X5,X3,X4),X4,X4) ),
inference(equality_inference,[],[480]) ).
cnf(i_0_1058,plain,
c_Map_Omap__upds(X1,c_List_Oappend(X2,X3,X4),X2,X4,X4) = c_Map_Omap__upds(X1,X2,X2,X4,X4),
inference(equality_inference,[],[496]) ).
cnf(i_0_1059,plain,
c_Map_Omap__upds(X1,X2,c_List_Oappend(X2,X3,X4),X4,X4) = c_Map_Omap__upds(X1,X2,X2,X4,X4),
inference(equality_inference,[],[497]) ).
cnf(i_0_1060,plain,
c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
inference(equality_inference,[],[539]) ).
cnf(i_0_1061,plain,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
| X3 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X1,X2),X3,X2) ),
inference(equality_inference,[],[556]) ).
cnf(i_0_1062,plain,
X1 = X1,
inference(equality_inference,[],[558]) ).
cnf(i_0_1063,plain,
X1 = X1,
inference(equality_inference,[],[559]) ).
cnf(i_0_1064,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
| c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X1,X2),X3,X2) = X3 ),
inference(equality_inference,[],[562]) ).
cnf(i_0_1065,plain,
( ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
| X1 = c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X1,X2) ),
inference(equality_inference,[],[581]) ).
cnf(i_0_1066,plain,
( c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),tc_nat)
| c_List_Otake(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),X1,X2) = X1 ),
inference(equality_inference,[],[598]) ).
cnf(i_0_1067,plain,
( X1 = X1
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(equality_inference,[],[617]) ).
cnf(i_0_1068,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[723]) ).
cnf(i_0_1069,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[724]) ).
cnf(i_0_1070,plain,
X1 = X1,
inference(equality_inference,[],[727]) ).
cnf(i_0_1071,plain,
X1 = X1,
inference(equality_inference,[],[728]) ).
cnf(i_0_1072,plain,
X1 = X1,
inference(equality_inference,[],[729]) ).
cnf(i_0_1073,plain,
X1 = X1,
inference(equality_inference,[],[730]) ).
cnf(i_0_1074,plain,
X1 = X1,
inference(equality_inference,[],[731]) ).
cnf(i_0_1075,plain,
X1 = X1,
inference(equality_inference,[],[732]) ).
cnf(i_0_1076,plain,
X1 = X1,
inference(equality_inference,[],[733]) ).
cnf(i_0_1077,plain,
X1 = X1,
inference(equality_inference,[],[734]) ).
cnf(i_0_1078,plain,
( ~ c_List_Odistinct(X1,X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| ~ c_List_Odistinct(X1,X2)
| ~ c_List_Olinorder__class_Osorted(X1,X2)
| X1 = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(equality_inference,[],[748]) ).
cnf(i_0_1079,plain,
X1 = X1,
inference(equality_inference,[],[818]) ).
cnf(i_0_1080,plain,
X1 = X1,
inference(equality_inference,[],[844]) ).
cnf(i_0_1081,plain,
X1 = X1,
inference(equality_inference,[],[845]) ).
cnf(i_0_1082,plain,
X1 = X1,
inference(equality_inference,[],[868]) ).
cnf(i_0_1083,plain,
c_Map_Omap__upds(X1,X2,X2,X3,X3) = c_Map_Omap__upds(X1,c_List_Oappend(X2,X4,X3),X2,X3,X3),
inference(scs_inference,[],[i_0_1058,i_0_886]) ).
cnf(i_0_1084,plain,
$false,
inference(scs_inference,[],[i_0_788,i_0_1058,i_0_858,i_0_886,i_0_959]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV779-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n014.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 05:58:21 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.43/1.67 % Version : CSE_E---1.7
% 0.43/1.67 % Problem : theBenchmark.p
% 0.43/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 0.43/1.67 % SZS output start CNFRefutation
% See solution above
% 0.49/1.75 % Total time : 1.325s
%------------------------------------------------------------------------------