%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV972-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:27:51 PM UTC 2026
% Result : Unsatisfiable 0.23s 1.51s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_507)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_butlast__list__update_0,axiom,
c_List_Obutlast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = c_List_Obutlast(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__list__update_0) ).
cnf(cls_butlast__conv__take_0,axiom,
c_List_Obutlast(X1,X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__conv__take_0) ).
cnf(cls_butlast__list__update_1,axiom,
( c_List_Obutlast(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Obutlast(X1,X4),X2,X3,X4)
| X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__list__update_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_butlast__snoc_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_butlast__drop_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/sandbox2/benchmark/theBenchmark.p',cls_drop__butlast_0) ).
cnf(cls_butlast__take_0,axiom,
( c_List_Obutlast(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_butlast__take_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/sandbox2/benchmark/theBenchmark.p',cls_butlast__append_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I2_J_0) ).
cnf(cls_length__butlast_0,axiom,
c_Nat_Osize__class_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__butlast_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/sandbox2/benchmark/theBenchmark.p',cls_butlast_Osimps_I1_J_0) ).
cnf(cls_add__nonneg__eq__0__iff_2,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_2) ).
cnf(cls_sees__method__fun_0,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X1,X6,X7,X8,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X2,X10,X11,X12,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__method__fun_0) ).
cnf(cls_sees__method__fun_1,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X1,X7,X8,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X10,X2,X11,X12,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__method__fun_1) ).
cnf(cls_sees__method__fun_2,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X1,X8,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X10,X11,X2,X12,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__method__fun_2) ).
cnf(cls_sees__method__fun_3,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X1,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X10,X11,X12,X2,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__method__fun_3) ).
cnf(cls_sees__method__idemp_0,axiom,
( c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X2,X7)
| ~ c_TypeRel_OMethod(X1,X8,X3,X4,X5,X6,X2,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__method__idemp_0) ).
cnf(cls_WTrtCall_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8,X9,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X8)
| ~ c_TypeRel_OMethod(X1,X10,X5,X9,X7,c_Pair(X11,X12,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X13,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCall_0) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I12_J_0,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8,X9,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X8)
| ~ c_TypeRel_OMethod(X1,X10,X5,X9,X7,c_Pair(X11,X12,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X13,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I12_J_0) ).
cnf(cls_WTCall_0,axiom,
( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7,X8,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(X1,X2,X5,X7)
| ~ c_TypeRel_OMethod(X1,X9,X4,X8,X6,c_Pair(X10,X11,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X12,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCall_0) ).
cnf(cls_confs__Cons2_1,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3)),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__Cons2_1) ).
cnf(cls_confs__Cons2_0,axiom,
( X1 = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X2,X3,X1,X4,X5,X6),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X2,X3,X1,X4,X5,X6),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(X2,X3,X6),X1,c_List_Olist_OCons(X4,X5,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__Cons2_0) ).
cnf(cls_list__all2__append1_0,axiom,
( X1 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X2,X3,X4,X1,X5,X6),c_List_Osko__List__Xlist__all2__append1__1__2(X2,X3,X4,X1,X5,X6),X6)
| ~ c_List_Olist__all2(X2,c_List_Oappend(X3,X4,X5),X1,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_0) ).
cnf(cls_list__all2__append2_0,axiom,
( X1 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X2,X1,X3,X4,X5,X6),c_List_Osko__List__Xlist__all2__append2__1__2(X2,X1,X3,X4,X5,X6),X5)
| ~ c_List_Olist__all2(X2,X1,c_List_Oappend(X3,X4,X6),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append2_0) ).
cnf(cls_confs__Cons2_2,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__Cons2_2) ).
cnf(cls_list__all2__append2_3,axiom,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X5,X6),X3,X5,X6)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append2_3) ).
cnf(cls_list__all2__append2_4,axiom,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X5,X6),X4,X5,X6)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append2_4) ).
cnf(cls_list__all2__append1_3,axiom,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X4,X5,X6),X5,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_3) ).
cnf(cls_list__all2__append1_4,axiom,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__2(X1,X3,X2,X4,X5,X6),X5,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X3,X2,X5),X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_4) ).
cnf(cls_list__all2__append1_1,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X4,X5,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_1) ).
cnf(cls_list__all2__append1_2,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X4,X5,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_2) ).
cnf(cls_list__all2__append2_1,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X5,X6),tc_List_Olist(X5)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X6))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append2_1) ).
cnf(cls_list__all2__append2_2,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X5,X6),tc_List_Olist(X5)) = c_Nat_Osize__class_Osize(X4,tc_List_Olist(X6))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append2_2) ).
cnf(cls_CallParams_Ohyps_I2_J_1,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallParams_Ohyps_I2_J_1) ).
cnf(cls_IH_1,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IH_1) ).
cnf(cls_CallParams_I2_J_1,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallParams_I2_J_1) ).
cnf(cls_CallParams_Ohyps_I2_J_0,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallParams_Ohyps_I2_J_0) ).
cnf(cls_IH_0,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IH_0) ).
cnf(cls_CallParams_I2_J_0,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CallParams_I2_J_0) ).
cnf(cls_widens__Cons_1,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__Cons_1) ).
cnf(cls_widens__Cons_0,axiom,
( X1 = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X2,X3,X4,X1,X5),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X2,X3,X4,X1,X5),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X2,X5),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X1,tc_Type_Oty,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__Cons_0) ).
cnf(cls_widens__Cons_2,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X4,X3,X5,X2),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X4,X3,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__Cons_2) ).
cnf(cls_confs__conv__map_1,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X3,X4,X5,X2),X3,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X4,X2),X5,X3,tc_Value_Oval,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__conv__map_1) ).
cnf(cls_WTrtCallNT_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCallNT_0) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I13_J_0,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I13_J_0) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append1_5) ).
cnf(cls_confs__widens_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X6,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__widens_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append_2) ).
cnf(cls_WTrtCons_0,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X6,X7,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X7)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCons_0) ).
cnf(cls_WTrt_H__WTrts_H_Ointros_I15_J_0,axiom,
( c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X6,X7,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X7)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I15_J_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__appendI_0) ).
cnf(cls_widens__trans_0,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__trans_0) ).
cnf(cls_confs__Cons2_3,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X5,tc_Value_Oval),c_List_Olist_OCons(X6,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X5,X7,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__Cons2_3) ).
cnf(cls_conjecture_1,negated_conjecture,
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_that_0,axiom,
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_CHAINED_1,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
cnf(cls_widens__Cons_3,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X6,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__Cons_3) ).
cnf(cls_CHAINED_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__append_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_2) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons1_3) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons2_3) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Cons_1) ).
cnf(cls_confs__hext_0,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_confs__hext_0) ).
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/sandbox2/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/sandbox2/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,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev_0) ).
cnf(cls_list__all2__rev1_1,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev1_1) ).
cnf(cls_list__all2__rev1_0,axiom,
( c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev1_0) ).
cnf(cls_list__all2__rev_1,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,X2,X4,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__rev_1) ).
cnf(cls_WTrts__hext__mono_0,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrts__hext__mono_0) ).
cnf(cls_WTrt__hext__mono_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).
cnf(cls_wts_H__wts_0,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wts_H__wts_0) ).
cnf(cls_wt_H__wt_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).
cnf(cls_wts__wts_H_0,axiom,
( c_Progress_OWTrts_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wts__wts_H_0) ).
cnf(cls_wt__wt_H_0,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).
cnf(cls_Cons__eq__append__conv_2,axiom,
( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
| c_List_Olist_OCons(X1,X2,X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_2) ).
cnf(cls_Cons__eq__append__conv_3,axiom,
( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
| c_List_Olist_OCons(X1,X2,X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_3) ).
cnf(cls_append__eq__Cons__conv_3,axiom,
( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
| X2 = c_List_Olist_OCons(X4,X5,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_3) ).
cnf(cls_append__eq__Cons__conv_2,axiom,
( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
| X2 = c_List_Olist_OCons(X4,X5,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_2) ).
cnf(cls_conf_0,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf_0) ).
cnf(cls_append__eq__Cons__conv_1,axiom,
( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
| X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_1) ).
cnf(cls_Cons__eq__append__conv_0,axiom,
( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
| X4 = c_List_Olist_ONil(X3)
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_0) ).
cnf(cls_Cons__eq__append__conv_1,axiom,
( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
| X4 = c_List_Olist_ONil(X3)
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_1) ).
cnf(cls_append__eq__Cons__conv_0,axiom,
( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
| X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).
cnf(cls_wt_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).
cnf(cls_nat_Osplit_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osplit_0) ).
cnf(cls_conf__widen_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X6),X5))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__widen_0) ).
cnf(cls_WTs__implies__WTrts_0,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_WellType_OWTs(X1,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTs__implies__WTrts_0) ).
cnf(cls_WT__implies__WTrt_0,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_WellType_OWT(X1,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).
cnf(cls_list__all2__refl_0,axiom,
( c_List_Olist__all2(X1,X2,X2,X3,X3)
| ~ hBOOL(hAPP(hAPP(X1,c_List_Osko__List__Xlist__all2__refl__1__1(X1,X3)),c_List_Osko__List__Xlist__all2__refl__1__1(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__refl_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/sandbox2/benchmark/theBenchmark.p',cls_list__update__swap_0) ).
cnf(cls_calculation_I4_J_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Us____,v_Ts____,tc_Type_Oty,tc_Type_Oty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_I4_J_0) ).
cnf(cls_conf__hext_0,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X6,X3),X4),X5))
| ~ c_Objects_Ohext(X6,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__hext_0) ).
cnf(cls_WTCons_0,axiom,
( c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X6,tc_Type_Oty))
| ~ c_WellType_OWTs(X1,X2,X4,X6)
| ~ c_WellType_OWT(X1,X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCons_0) ).
cnf(cls_calculation_I5_J_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_I5_J_0) ).
cnf(cls_wte_0,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wte_0) ).
cnf(cls_widens__refl_0,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X3,tc_Type_Oty,tc_Type_Oty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__refl_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/sandbox2/benchmark/theBenchmark.p',cls_list__all2__Nil_1) ).
cnf(cls_list__all2__eq_0,axiom,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).
cnf(cls_wtes_0,axiom,
c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,v_esa____,v_Us____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wtes_0) ).
cnf(cls_nth__list__update__neq_0,axiom,
( hAPP(c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X4),X5) = hAPP(c_List_Onth(X1,X4),X5)
| X2 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__list__update__neq_0) ).
cnf(cls_nat__diff__split_1,axiom,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X2,tc_nat))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__diff__split_1) ).
cnf(cls_nat__diff__split__asm_1,axiom,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X2,tc_nat))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__diff__split__asm_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_list__update__overwrite_0) ).
cnf(cls_take__add_0,axiom,
( c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Otake(X1,X3,X4),c_List_Otake(X2,c_List_Odrop(X1,X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__add_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_5) ).
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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_4) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_drop__append_0) ).
cnf(cls_Pair__eq_0,axiom,
( X1 = X5
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
cnf(cls_exp_Osimps_I9_J_0,axiom,
( X1 = X5
| c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).
cnf(cls_Pair__eq_1,axiom,
( X2 = X6
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
cnf(cls_exp_Osimps_I9_J_1,axiom,
( X2 = X6
| c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).
cnf(cls_exp_Osimps_I9_J_2,axiom,
( X3 = X7
| c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).
cnf(cls_widen__trans_0,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_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/sandbox2/benchmark/theBenchmark.p',cls_list__update__length_0) ).
cnf(cls_nth__append__length_0,axiom,
hAPP(c_List_Onth(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__append__length_0) ).
cnf(cls_nth__drop_0,axiom,
( hAPP(c_List_Onth(c_List_Odrop(X1,X2,X3),X3),X4) = hAPP(c_List_Onth(X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,tc_nat),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__drop_0) ).
cnf(cls_take__Cons__number__of_1,axiom,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons__number__of_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_le__diff__iff_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_1) ).
cnf(cls_power__decreasing_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X4,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__decreasing_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).
cnf(cls_take__Cons_H_1,axiom,
( c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons_H_1) ).
cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I20_J_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_impossible__Cons_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_append__replicate__commute_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/sandbox2/benchmark/theBenchmark.p',cls_length__list__update_0) ).
cnf(cls_take__drop_0,axiom,
c_List_Otake(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(X2,c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__drop_0) ).
cnf(cls_nth_Osimps_0,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),X4) = c_Nat_Onat_Onat__case(X1,c_List_Onth(X2,X3),X4,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth_Osimps_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/sandbox2/benchmark/theBenchmark.p',cls_le__diff__iff_1) ).
cnf(cls_le__add__right__mono_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X5,X4,X1)
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__right__mono_0) ).
cnf(cls_le__diff__conv2_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__diff__conv2_0) ).
cnf(cls_le__diff__conv2_1,axiom,
( c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__diff__conv2_1) ).
cnf(cls_nth__Cons__number__of_1,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat)) = hAPP(c_List_Onth(X2,X3),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X4,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_Int_Onumber__class_Onumber__of(X4,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__Cons__number__of_1) ).
cnf(cls_add__le__cancel__right_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_0) ).
cnf(cls_add__le__cancel__left_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Nat_Odiff__diff__eq_0) ).
cnf(cls_nth__append__length__plus_0,axiom,
hAPP(c_List_Onth(c_List_Oappend(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X4,tc_nat)) = hAPP(c_List_Onth(X2,X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__append__length__plus_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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv__if_0) ).
cnf(cls_rev__eq__Cons__iff_1,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
cnf(cls_nat__add__left__cancel__le_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__le_0) ).
cnf(cls_power__mono_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__mono_0) ).
cnf(cls_power__increasing_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ c_lessequals(X3,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__increasing_0) ).
cnf(cls_le__add__diff_0,axiom,
( c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__diff_0) ).
cnf(cls_add__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mono_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/sandbox2/benchmark/theBenchmark.p',cls_replicate__append__same_0) ).
cnf(cls_add__le__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
| ~ c_lessequals(X2,X4,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__mono_0) ).
cnf(cls_replicate__add_0,axiom,
c_List_Oreplicate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Oreplicate(X1,X3,X4),c_List_Oreplicate(X2,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__add_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/sandbox2/benchmark/theBenchmark.p',cls_drop__take_0) ).
cnf(cls_list__update__code_I2_J_0,axiom,
c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),X4,X3) = c_List_Olist_OCons(X4,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__code_I2_J_0) ).
cnf(cls_exp_Osimps_I81_J_0,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I81_J_0) ).
cnf(cls_exp_Osimps_I80_J_0,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I80_J_0) ).
cnf(cls_drop__Cons__number__of_1,axiom,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons__number__of_1) ).
cnf(cls_nth__Cons_H_1,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),X4) = hAPP(c_List_Onth(X2,X3),c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X4 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__Cons_H_1) ).
cnf(cls_le__imp__diff__is__add_1,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X1,tc_nat) = X2
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__diff__is__add_1) ).
cnf(cls_le__diff__conv_1,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__diff__conv_1) ).
cnf(cls_le__diff__conv_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__diff__conv_0) ).
cnf(cls_add__cancel__21_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_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/sandbox2/benchmark/theBenchmark.p',cls_list__update__nonempty_0) ).
cnf(cls_diff__add__assoc2_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__assoc2_0) ).
cnf(cls_add__diff__assoc2_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__assoc2_0) ).
cnf(cls_diff__add__assoc_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__assoc_0) ).
cnf(cls_diff__diff__right_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__diff__right_0) ).
cnf(cls_add__diff__assoc_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__assoc_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_2) ).
cnf(cls_rev__take_0,axiom,
c_List_Orev(c_List_Otake(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__take_0) ).
cnf(cls_rev__drop_0,axiom,
c_List_Orev(c_List_Odrop(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__drop_0) ).
cnf(cls_Nitpick_Onat__case__def_1,axiom,
( c_Nat_Onat_Onat__case(X1,X2,X3,X4) = hAPP(X2,c_HOL_Ominus__class_Ominus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X3 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Onat__case__def_1) ).
cnf(cls_add__nonpos__nonpos_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonpos__nonpos_0) ).
cnf(cls_add__nonneg__nonneg_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__nonneg_0) ).
cnf(cls_add__le__cancel__left_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__left_1) ).
cnf(cls_add__left__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__mono_0) ).
cnf(cls_add__le__cancel__right_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__cancel__right_1) ).
cnf(cls_add__right__mono_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__mono_0) ).
cnf(cls_add__increasing2_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing2_0) ).
cnf(cls_add__increasing_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__increasing_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_diff__le__mono_0) ).
cnf(cls_nat__add__left__cancel__le_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__le_1) ).
cnf(cls_add__le__mono1_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__mono1_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/sandbox2/benchmark/theBenchmark.p',cls_eq__diff__iff_0) ).
cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_0) ).
cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_0) ).
cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I23_J_0) ).
cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).
cnf(cls_comm__monoid__add_Omult__assoc_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__assoc_0) ).
cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I21_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I25_J_0) ).
cnf(cls_class__semiring_Oadd__a_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__a_0) ).
cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).
cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I22_J_0) ).
cnf(cls_add__cancel__21_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__cancel__21_1) ).
cnf(cls_drop__Cons_H_1,axiom,
( c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons_H_1) ).
cnf(cls_list__update__id_0,axiom,
c_List_Olist__update(X1,X2,hAPP(c_List_Onth(X1,X3),X2),X3) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__update__id_0) ).
cnf(cls_le__iff__diff__le__0_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_append__assoc_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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).
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/sandbox2/benchmark/theBenchmark.p',cls_append__Cons_0) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_append__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/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).
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/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__appendI_0) ).
cnf(cls_rev_Osimps_I2_J_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_le__eqI_0) ).
cnf(cls_rotate__rotate_0,axiom,
c_List_Orotate(X1,c_List_Orotate(X2,X3,X4),X4) = c_List_Orotate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__rotate_0) ).
cnf(cls_drop__drop_0,axiom,
c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__drop_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/sandbox2/benchmark/theBenchmark.p',cls_drop__replicate_0) ).
cnf(cls_of__nat__diff_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
| ~ class_Ring__and__Field_Oring__1(X1)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__diff_0) ).
cnf(cls_diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__cancel_0) ).
cnf(cls_diff__cancel2_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__cancel2_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/sandbox2/benchmark/theBenchmark.p',cls_diff__commute_0) ).
cnf(cls_diff__diff__left_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__diff__left_0) ).
cnf(cls_nat__add__assoc_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__assoc_0) ).
cnf(cls_nat__add__left__commute_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__commute_0) ).
cnf(cls_tl__take_0,axiom,
c_List_Otl(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__take_0) ).
cnf(cls_rev__eq__Cons__iff_0,axiom,
( X1 = c_List_Oappend(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_0) ).
cnf(cls_nth__Cons__number__of_0,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = X2
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__Cons__number__of_0) ).
cnf(cls_add__leE_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__leE_0) ).
cnf(cls_add__leE_1,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__leE_1) ).
cnf(cls_add__nonneg__eq__0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_0) ).
cnf(cls_add__nonneg__eq__0__iff_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__nonneg__eq__0__iff_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_rotate__simps_1) ).
cnf(cls_tl__replicate_0,axiom,
( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl__replicate_0) ).
cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__le__zero__iff__single__add__le__zero_1) ).
cnf(cls_one__le__power_0,axiom,
( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__le__power_0) ).
cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__double__add__iff__zero__le__single__add_1) ).
cnf(cls_zero__le__power_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__power_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/sandbox2/benchmark/theBenchmark.p',cls_append__take__drop__id_0) ).
cnf(cls_drop__Cons__number__of_0,axiom,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons__number__of_0) ).
cnf(cls_le__iff__diff__le__0_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__diff__le__0_0) ).
cnf(cls_nth__Cons_H_0,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_HOL_Ozero__class_Ozero(tc_nat)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__Cons_H_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_list__update__nonempty_1) ).
cnf(cls_length__append_0,axiom,
c_Nat_Osize__class_Osize(c_List_Oappend(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__append_0) ).
cnf(cls_Nitpick_Onat__case__def_0,axiom,
c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Onat__case__def_0) ).
cnf(cls_nat__case__0_0,axiom,
c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__case__0_0) ).
cnf(cls_le__add__diff__inverse2_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__diff__inverse2_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_diff__diff__cancel_0) ).
cnf(cls_le__add__diff__inverse_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__diff__inverse_0) ).
cnf(cls_le__imp__diff__is__add_0,axiom,
( X2 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__diff__is__add_0) ).
cnf(cls_termination__basic__simps_I3_J_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I3_J_0) ).
cnf(cls_trans__le__add1_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__le__add1_0) ).
cnf(cls_termination__basic__simps_I4_J_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I4_J_0) ).
cnf(cls_trans__le__add2_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__le__add2_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/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_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/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_of__nat__add_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__add_0) ).
cnf(cls_of__nat__le__iff_0,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__le__iff_0) ).
cnf(cls_rev__append_0,axiom,
c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__append_0) ).
cnf(cls_take__1__Cons_0,axiom,
c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__1__Cons_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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_le__trans_0) ).
cnf(cls_drop__Cons_H_0,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Cons_H_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_length__drop_0) ).
cnf(cls_nth__via__drop_0,axiom,
( hAPP(c_List_Onth(X2,X3),X1) = X4
| c_List_Odrop(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nth__via__drop_0) ).
cnf(cls_take__Cons__number__of_0,axiom,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons__number__of_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_tl__append2_0) ).
cnf(cls_rotate__length01_0,axiom,
( c_List_Orotate(X1,X2,X3) = X2
| ~ c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__length01_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_drop__all_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_drop__tl_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/sandbox2/benchmark/theBenchmark.p',cls_rotate1__rotate__swap_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/sandbox2/benchmark/theBenchmark.p',cls_tl__drop_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_append__eq__conv__conj_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/sandbox2/benchmark/theBenchmark.p',cls_take__all_0) ).
cnf(cls_of__nat__le__iff_1,axiom,
( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__le__iff_1) ).
cnf(cls_rev__singleton__conv_1,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox2/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) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__rev__conv_1) ).
cnf(cls_widen__Class_2,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),c_Type_Oty_OClass(X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__Class_2) ).
cnf(cls_class__ringb_Oadd__cancel_0,axiom,
( X3 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__cancel_0) ).
cnf(cls_widen__refl_0,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_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/sandbox2/benchmark/theBenchmark.p',cls_drop__eq__Nil_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/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
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/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_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/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_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/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_add__right__cancel_0,axiom,
( X2 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__right__cancel_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_eq__eqI_0) ).
cnf(cls_add__left__cancel_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__left__cancel_0) ).
cnf(cls_add__imp__eq_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__imp__eq_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) != c_List_Orev(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__rev__conv_0) ).
cnf(cls_rev__singleton__conv_0,axiom,
( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__singleton__conv_0) ).
cnf(cls_replicate__eq__replicate_1,axiom,
( X2 = X5
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_1) ).
cnf(cls_diffs0__imp__equal_0,axiom,
( X2 = X1
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diffs0__imp__equal_0) ).
cnf(cls_rev__replicate_0,axiom,
c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
cnf(cls_replicate__eq__replicate_0,axiom,
( X1 = X4
| c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
cnf(cls_le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_add__diff__cancel_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__cancel_0) ).
cnf(cls_diff__add__cancel_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__cancel_0) ).
cnf(cls_nat__add__right__cancel_0,axiom,
( X1 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__right__cancel_0) ).
cnf(cls_nat__add__left__cancel_0,axiom,
( X2 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel_0) ).
cnf(cls_natgb_Oadd__cancel_0,axiom,
( X2 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__cancel_0) ).
cnf(cls_take__Cons_H_0,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__Cons_H_0) ).
cnf(cls_drop__1__Cons_0,axiom,
c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__1__Cons_0) ).
cnf(cls_rotate1__length01_0,axiom,
( c_List_Orotate1(X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate1__length01_0) ).
cnf(cls_diff__add__0_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__0_0) ).
cnf(cls_diff__add__inverse_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse_0) ).
cnf(cls_diff__add__inverse2_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse2_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/sandbox2/benchmark/theBenchmark.p',cls_diff__le__self_0) ).
cnf(cls_le__iff__add_1,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__add_1) ).
cnf(cls_le__add1_0,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add1_0) ).
cnf(cls_le__add2_0,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add2_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/sandbox2/benchmark/theBenchmark.p',cls_length__rotate_0) ).
cnf(cls_diff__is__0__eq_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__is__0__eq_0) ).
cnf(cls_length__tl_0,axiom,
c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__tl_0) ).
cnf(cls_diff__is__0__eq_1,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__is__0__eq_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_length__replicate_0) ).
cnf(cls_power__eq__0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| ~ class_Ring__and__Field_Omult__zero(X1)
| ~ class_Power_Opower(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_0) ).
cnf(cls_power__eq__0__iff_1,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| ~ class_Ring__and__Field_Omult__zero(X1)
| ~ class_Power_Opower(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_1) ).
cnf(cls_tl_Osimps_I2_J_0,axiom,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tl_Osimps_I2_J_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_comm__monoid__add_Omult__commute_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__commute_0) ).
cnf(cls_class__semiring_Oadd__c_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__c_0) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_replicate__eq__replicate_2,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__eq__replicate_2) ).
cnf(cls_not__one__le__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__one__le__zero_0) ).
cnf(cls_class__ringb_Osubr0__iff_0,axiom,
( X2 = X3
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_0) ).
cnf(cls_class__ringb_Oadd__r0__iff_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_0) ).
cnf(cls_nat__le__linear_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_nat__add__commute_0,axiom,
c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
cnf(cls_double__eq__0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_0) ).
cnf(cls_field__power__not__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_field__power__not__zero_0) ).
cnf(cls_eq__iff__diff__eq__0_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_1) ).
cnf(cls_right__minus__eq_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_0) ).
cnf(cls_take__eq__Nil_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__eq__Nil_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/sandbox2/benchmark/theBenchmark.p',cls_append__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/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).
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/sandbox2/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_0) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).
cnf(cls_power__eq__0__iff_2,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| ~ class_Ring__and__Field_Omult__zero(X1)
| ~ class_Power_Opower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__eq__0__iff_2) ).
cnf(cls_replicate__empty_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__empty_0) ).
cnf(cls_empty__replicate_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_ONil(X1) != c_List_Oreplicate(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__replicate_0) ).
cnf(cls_zero__le__imp__of__nat_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__imp__of__nat_0) ).
cnf(cls_of__nat__0__le__iff_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__0__le__iff_0) ).
cnf(cls_append__self__conv2_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).
cnf(cls_le__0__eq_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__0__eq_0) ).
cnf(cls_neq__Nil__conv_1,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
cnf(cls_list_Osimps_I2_J_0,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
cnf(cls_add__is__0_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_0) ).
cnf(cls_add__is__0_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_1) ).
cnf(cls_add__eq__self__zero_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__eq__self__zero_0) ).
cnf(cls_natgb_Oadd__r0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_0) ).
cnf(cls_not__Cons__self2_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
cnf(cls_power__0__left_1,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Opower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0__left_1) ).
cnf(cls_power__0__left_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Opower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0__left_0) ).
cnf(cls_double__eq__0__iff_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__eq__0__iff_1) ).
cnf(cls_class__ringb_Oadd__r0__iff_1,axiom,
( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__r0__iff_1) ).
cnf(cls_zero__le__one_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__one_0) ).
cnf(cls_class__ringb_Osubr0__iff_1,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Osubr0__iff_1) ).
cnf(cls_power__one_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one_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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_2) ).
cnf(cls_power__0_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Power_Opower(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__0_0) ).
cnf(cls_class__semiring_Opwr__0_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Opwr__0_0) ).
cnf(cls_add__0__left_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__0__left_0) ).
cnf(cls_comm__monoid__add_Omult__1_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1_0) ).
cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I5_J_0) ).
cnf(cls_class__semiring_Oadd__0_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Oadd__0_0) ).
cnf(cls_diff__0__right_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__right_0) ).
cnf(cls_monoid__add__class_Oadd__0__right_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_monoid__add__class_Oadd__0__right_0) ).
cnf(cls_comm__monoid__add_Omult__1__right_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__1__right_0) ).
cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
cnf(cls_length__rev_0,axiom,
c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__rev_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/sandbox2/benchmark/theBenchmark.p',cls_length__rotate1_0) ).
cnf(cls_power__one__right_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__one__right_0) ).
cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I33_J_0) ).
cnf(cls_eq__iff__diff__eq__0_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__iff__diff__eq__0_0) ).
cnf(cls_right__minus__eq_1,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_right__minus__eq_1) ).
cnf(cls_diff__self_0,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__self_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_take__eq__Nil_2) ).
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/sandbox2/benchmark/theBenchmark.p',cls_rotate__is__Nil__conv_1) ).
cnf(cls_drop__Nil_0,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__Nil_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_add__is__0_2,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__0_2) ).
cnf(cls_take__0_0,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_take__0_0) ).
cnf(cls_replicate__empty_1,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_replicate__empty_1) ).
cnf(cls_empty__replicate_1,axiom,
c_List_Olist_ONil(X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__replicate_1) ).
cnf(cls_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_append__Nil2_0) ).
cnf(cls_self__append__conv2_1,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
cnf(cls_eq__Nil__appendI_0,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(cls_self__append__conv_1,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
cnf(cls_eq__number__of_0,axiom,
( X2 = X3
| ~ class_Int_Oring__char__0(X1)
| ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__number__of_0) ).
cnf(cls_hext__trans_0,axiom,
( c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X3,X2)
| ~ c_Objects_Ohext(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__trans_0) ).
cnf(cls_le__0__eq_1,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__0__eq_1) ).
cnf(cls_diff__0__eq__0_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__0__eq__0_0) ).
cnf(cls_drop__0_0,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_drop__0_0) ).
cnf(cls_plus__nat_Oadd__0_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_plus__nat_Oadd__0_0) ).
cnf(cls_minus__nat_Odiff__0_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__nat_Odiff__0_0) ).
cnf(cls_Nat_Oadd__0__right_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nat_Oadd__0__right_0) ).
cnf(cls_natgb_Oadd__r0__iff_1,axiom,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_1) ).
cnf(cls_le0_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le0_0) ).
cnf(cls_diff__self__eq__0_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__self__eq__0_0) ).
cnf(cls_of__nat__eq__iff_0,axiom,
( X2 = X3
| ~ class_Nat_Osemiring__char__0(X1)
| c_Nat_Osemiring__1__class_Oof__nat(X2,X1) != c_Nat_Osemiring__1__class_Oof__nat(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__eq__iff_0) ).
cnf(cls_le__refl_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__refl_0) ).
cnf(cls_eq__imp__le_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__imp__le_0) ).
cnf(cls_exp_Osimps_I3_J_0,axiom,
( X1 = X3
| c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OVal(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).
cnf(cls_rev__is__rev__conv_0,axiom,
( X1 = X3
| c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__rev__conv_0) ).
cnf(cls_length__0__conv_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_0) ).
cnf(cls_rev__rev__ident_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).
cnf(cls_rev__swap_1,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_1) ).
cnf(cls_rev__swap_0,axiom,
X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_0) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(cls_rev__is__Nil__conv_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_rotate1__is__Nil__conv_0) ).
cnf(cls_Nil__is__rev__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Orev(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).
cnf(cls_length__0__conv_1,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__0__conv_1) ).
cnf(cls_of__nat__1_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__1_0) ).
cnf(cls_of__nat__0_0,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_of__nat__0_0) ).
cnf(cls_rev__is__Nil__conv_1,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
cnf(cls_rotate__simps_0,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rotate__simps_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_tl_Osimps_I1_J_0) ).
cnf(cls_Nil__is__rev__conv_1,axiom,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).
cnf(cls_zero__neq__one_0,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__neq__one_0) ).
cnf(cls_one__neq__zero_0,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__neq__zero_0) ).
cnf(cls_ty_Oinject_0,axiom,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinject_0) ).
cnf(cls_hext__refl_0,axiom,
c_Objects_Ohext(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).
cnf(cls_ty_Osimps_I21_J_0,axiom,
c_Type_Oty_OClass(X1) != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).
cnf(cls_ty_Osimps_I20_J_0,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I20_J_0) ).
cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Oorder) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Opreorder) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Orderings_Olinorder) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1,axiom,
class_Ring__and__Field_Oring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__1) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors) ).
cnf(clsarity_Int__Oint__Nat_Osemiring__char__0,axiom,
class_Nat_Osemiring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Nat_Osemiring__char__0) ).
cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
class_Nat_Osemiring__char__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Nat_Osemiring__char__0) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom,
class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__0) ).
cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__0) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__add) ).
cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add) ).
cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add) ).
cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oidom) ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Onumber__ring) ).
cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Int_Oring__char__0) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom,
class_Ring__and__Field_Osemiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Osemiring__1) ).
cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring__1) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__mult) ).
cnf(clsarity_Int__Oint__Power_Opower,axiom,
class_Power_Opower(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Power_Opower) ).
cnf(clsarity_nat__Power_Opower,axiom,
class_Power_Opower(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Power_Opower) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Omult__zero) ).
cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors) ).
cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add) ).
cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Oab__group__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add) ).
cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add) ).
cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Ogroup__add) ).
cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Oordered__semidom) ).
cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_506,axiom,
c_List_Obutlast(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = c_List_Obutlast(X1,X2),
cls_butlast__list__update_0 ).
cnf(i_0_507,axiom,
c_List_Obutlast(X1,X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
cls_butlast__conv__take_0 ).
cnf(i_0_508,axiom,
( c_List_Obutlast(c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Obutlast(X1,X4),X2,X3,X4)
| X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
cls_butlast__list__update_1 ).
cnf(i_0_509,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 ).
cnf(i_0_510,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 ).
cnf(i_0_511,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 ).
cnf(i_0_512,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 ).
cnf(i_0_513,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 ).
cnf(i_0_514,axiom,
( c_List_Obutlast(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
cls_butlast__take_0 ).
cnf(i_0_515,axiom,
c_List_Obutlast(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Obutlast(X1,X2),
cls_butlast__append_0 ).
cnf(i_0_516,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 ).
cnf(i_0_517,axiom,
c_Nat_Osize__class_Osize(c_List_Obutlast(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
cls_length__butlast_0 ).
cnf(i_0_518,axiom,
c_List_Obutlast(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_butlast_Osimps_I1_J_0 ).
cnf(i_0_519,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__nonneg__eq__0__iff_2 ).
cnf(i_0_520,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X1,X6,X7,X8,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X2,X10,X11,X12,X9) ),
cls_sees__method__fun_0,
[final] ).
cnf(i_0_521,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X1,X7,X8,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X10,X2,X11,X12,X9) ),
cls_sees__method__fun_1,
[final] ).
cnf(i_0_522,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X1,X8,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X10,X11,X2,X12,X9) ),
cls_sees__method__fun_2,
[final] ).
cnf(i_0_523,axiom,
( X1 = X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X1,X9)
| ~ c_TypeRel_OMethod(X3,X4,X5,X10,X11,X12,X2,X9) ),
cls_sees__method__fun_3,
[final] ).
cnf(i_0_524,axiom,
( c_TypeRel_OMethod(X1,X2,X3,X4,X5,X6,X2,X7)
| ~ c_TypeRel_OMethod(X1,X8,X3,X4,X5,X6,X2,X7) ),
cls_sees__method__idemp_0,
[final] ).
cnf(i_0_525,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8,X9,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X8)
| ~ c_TypeRel_OMethod(X1,X10,X5,X9,X7,c_Pair(X11,X12,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X13,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_OClass(X10)) ),
cls_WTrtCall_0,
[final] ).
cnf(i_0_526,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X8,X9,tc_Type_Oty,tc_Type_Oty)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X8)
| ~ c_TypeRel_OMethod(X1,X10,X5,X9,X7,c_Pair(X11,X12,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X13,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_OClass(X10)) ),
cls_WTrt_H__WTrts_H_Ointros_I12_J_0,
[final] ).
cnf(i_0_527,axiom,
( c_WellType_OWT(X1,X2,c_Expr_Oexp_OCall(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X7,X8,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellType_OWTs(X1,X2,X5,X7)
| ~ c_TypeRel_OMethod(X1,X9,X4,X8,X6,c_Pair(X10,X11,tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),X12,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellType_OWT(X1,X2,X3,c_Type_Oty_OClass(X9)) ),
cls_WTCall_0,
[final] ).
cnf(i_0_528,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X1,X2,X4,X5,X6,X3)),X5))
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
cls_confs__Cons2_1,
[final] ).
cnf(i_0_529,axiom,
( X1 = c_List_Olist_OCons(c_Conform_Osko__Conform__Xconfs__Cons2__1__1(X2,X3,X1,X4,X5,X6),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X2,X3,X1,X4,X5,X6),tc_Value_Oval)
| ~ c_List_Olist__all2(c_Conform_Oconf(X2,X3,X6),X1,c_List_Olist_OCons(X4,X5,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
cls_confs__Cons2_0,
[final] ).
cnf(i_0_530,axiom,
( X1 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append1__1__1(X2,X3,X4,X1,X5,X6),c_List_Osko__List__Xlist__all2__append1__1__2(X2,X3,X4,X1,X5,X6),X6)
| ~ c_List_Olist__all2(X2,c_List_Oappend(X3,X4,X5),X1,X5,X6) ),
cls_list__all2__append1_0,
[final] ).
cnf(i_0_531,axiom,
( X1 = c_List_Oappend(c_List_Osko__List__Xlist__all2__append2__1__1(X2,X1,X3,X4,X5,X6),c_List_Osko__List__Xlist__all2__append2__1__2(X2,X1,X3,X4,X5,X6),X5)
| ~ c_List_Olist__all2(X2,X1,c_List_Oappend(X3,X4,X6),X5,X6) ),
cls_list__all2__append2_0,
[final] ).
cnf(i_0_532,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_Conform_Osko__Conform__Xconfs__Cons2__1__2(X1,X2,X4,X5,X6,X3),X6,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty) ),
cls_confs__Cons2_2,
[final] ).
cnf(i_0_533,axiom,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X5,X6),X3,X5,X6)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
cls_list__all2__append2_3,
[final] ).
cnf(i_0_534,axiom,
( c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X5,X6),X4,X5,X6)
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
cls_list__all2__append2_4,
[final] ).
cnf(i_0_535,axiom,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X4,X5,X6),X5,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6) ),
cls_list__all2__append1_3,
[final] ).
cnf(i_0_536,axiom,
( c_List_Olist__all2(X1,X2,c_List_Osko__List__Xlist__all2__append1__1__2(X1,X3,X2,X4,X5,X6),X5,X6)
| ~ c_List_Olist__all2(X1,c_List_Oappend(X3,X2,X5),X4,X5,X6) ),
cls_list__all2__append1_4,
[final] ).
cnf(i_0_537,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__1(X1,X2,X3,X4,X5,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X2,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6) ),
cls_list__all2__append1_1,
[final] ).
cnf(i_0_538,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append1__1__2(X1,X2,X3,X4,X5,X6),tc_List_Olist(X6)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X5))
| ~ c_List_Olist__all2(X1,c_List_Oappend(X2,X3,X5),X4,X5,X6) ),
cls_list__all2__append1_2,
[final] ).
cnf(i_0_539,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X5,X6),tc_List_Olist(X5)) = c_Nat_Osize__class_Osize(X3,tc_List_Olist(X6))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
cls_list__all2__append2_1,
[final] ).
cnf(i_0_540,axiom,
( c_Nat_Osize__class_Osize(c_List_Osko__List__Xlist__all2__append2__1__2(X1,X2,X3,X4,X5,X6),tc_List_Olist(X5)) = c_Nat_Osize__class_Osize(X4,tc_List_Olist(X6))
| ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X6),X5,X6) ),
cls_list__all2__append2_2,
[final] ).
cnf(i_0_541,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
cls_CallParams_Ohyps_I2_J_1,
[final] ).
cnf(i_0_542,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
cls_IH_1,
[final] ).
cnf(i_0_543,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____),X2,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
cls_CallParams_I2_J_1,
[final] ).
cnf(i_0_544,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__Xhyps__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
cls_CallParams_Ohyps_I2_J_0,
[final] ).
cnf(i_0_545,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XIH__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
cls_IH_0,
[final] ).
cnf(i_0_546,axiom,
( c_WellTypeRT_OWTrts(v_P,v_h_Ha____,X1,v_es_Ha____,v_sko__local__XCallParams__2__1(X1,v_P,X2,v_es_Ha____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrts(v_P,v_ha____,X1,v_esa____,X2)
| ~ c_TypeSafe__Mirabelle_Osconf(v_P,X1,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))) ),
cls_CallParams_I2_J_0,
[final] ).
cnf(i_0_547,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X1,X3,X4,X5,X2)))
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
cls_widens__Cons_1,
[final] ).
cnf(i_0_548,axiom,
( X1 = c_List_Olist_OCons(c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__1(X2,X3,X4,X1,X5),c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X2,X3,X4,X1,X5),tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X2,X5),c_List_Olist_OCons(X3,X4,tc_Type_Oty),X1,tc_Type_Oty,tc_Type_Oty) ),
cls_widens__Cons_0,
[final] ).
cnf(i_0_549,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,c_TypeRel_Osko__TypeRel__Xwidens__Cons__1__2(X1,X4,X3,X5,X2),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X4,X3,tc_Type_Oty),X5,tc_Type_Oty,tc_Type_Oty) ),
cls_widens__Cons_2,
[final] ).
cnf(i_0_550,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_Conform_Osko__Conform__Xconfs__conv__map__1__1(X1,X3,X4,X5,X2),X3,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X4,X2),X5,X3,tc_Value_Oval,tc_Type_Oty) ),
cls_confs__conv__map_1,
[final] ).
cnf(i_0_551,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X6,X8)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,c_Type_Oty_ONT) ),
cls_WTrtCallNT_0,
[final] ).
cnf(i_0_552,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,c_Expr_Oexp_OCall(X4,X5,X6,tc_List_Olist(tc_String_Ochar)),X7)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X6,X8)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,c_Type_Oty_ONT) ),
cls_WTrt_H__WTrts_H_Ointros_I13_J_0,
[final] ).
cnf(i_0_553,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_554,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_555,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X3),X6,X5,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X6,tc_Value_Oval,tc_Type_Oty) ),
cls_confs__widens_0,
[final] ).
cnf(i_0_556,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_557,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,c_List_Olist_OCons(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X6,X7,tc_Type_Oty))
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X5,X7)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X6) ),
cls_WTrtCons_0,
[final] ).
cnf(i_0_558,axiom,
( c_Progress_OWTrts_H(X1,X2,X3,c_List_Olist_OCons(X4,X5,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X6,X7,tc_Type_Oty))
| ~ c_Progress_OWTrts_H(X1,X2,X3,X5,X7)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X6) ),
cls_WTrt_H__WTrts_H_Ointros_I15_J_0,
[final] ).
cnf(i_0_559,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_560,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X5,X4,tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X5,tc_Type_Oty,tc_Type_Oty) ),
cls_widens__trans_0,
[final] ).
cnf(i_0_561,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist__update(X1,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X2),X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_506,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_562,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),c_List_Olist_OCons(X4,X5,tc_Value_Oval),c_List_Olist_OCons(X6,X7,tc_Type_Oty),tc_Value_Oval,tc_Type_Oty)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X5,X7,tc_Value_Oval,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6)) ),
cls_confs__Cons2_3,
[final] ).
cnf(i_0_563,negated_conjecture,
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1) ),
cls_conjecture_1,
[final] ).
cnf(i_0_564,axiom,
( v_thesis____
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1) ),
cls_that_0,
[final] ).
cnf(i_0_565,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____),v_Us____,tc_Type_Oty,tc_Type_Oty),
cls_CHAINED_1,
[final] ).
cnf(i_0_566,axiom,
( c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Olist_OCons(X3,X4,tc_Type_Oty),c_List_Olist_OCons(X5,X6,tc_Type_Oty),tc_Type_Oty,tc_Type_Oty)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X4,X6,tc_Type_Oty,tc_Type_Oty)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
cls_widens__Cons_3,
[final] ).
cnf(i_0_567,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,v_sko__CHAINED__1(v_E____,v_P,v_Us____,v_es_Ha____,v_h_Ha____)),
cls_CHAINED_0,
[final] ).
cnf(i_0_568,plain,
( X2 = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat)
| c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist__update(X1,X2,X3,X4),tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist__update(X1,X2,X3,X4),X4) = c_List_Olist__update(c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X4),X2,X3,X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_508,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_569,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_570,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_571,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_572,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_573,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_574,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_575,axiom,
( c_List_Olist__all2(c_Conform_Oconf(X1,X2,X3),X4,X5,tc_Value_Oval,tc_Type_Oty)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_List_Olist__all2(c_Conform_Oconf(X1,X6,X3),X4,X5,tc_Value_Oval,tc_Type_Oty) ),
cls_confs__hext_0,
[final] ).
cnf(i_0_576,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_577,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_578,axiom,
( c_List_Olist__all2(X1,X2,X3,X4,X5)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X4),c_List_Orev(X3,X5),X4,X5) ),
cls_list__all2__rev_0,
[final] ).
cnf(i_0_579,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X3),X4,X3,X5)
| ~ c_List_Olist__all2(X1,X2,c_List_Orev(X4,X5),X3,X5) ),
cls_list__all2__rev1_1,
[final] ).
cnf(i_0_580,axiom,
( c_List_Olist__all2(X1,X2,c_List_Orev(X3,X4),X5,X4)
| ~ c_List_Olist__all2(X1,c_List_Orev(X2,X5),X3,X5,X4) ),
cls_list__all2__rev1_0,
[final] ).
cnf(i_0_581,axiom,
( c_List_Olist__all2(X1,c_List_Orev(X2,X3),c_List_Orev(X4,X5),X3,X5)
| ~ c_List_Olist__all2(X1,X2,X4,X3,X5) ),
cls_list__all2__rev_1,
[final] ).
cnf(i_0_582,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_WellTypeRT_OWTrts(X1,X6,X3,X4,X5) ),
cls_WTrts__hext__mono_0,
[final] ).
cnf(i_0_583,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Objects_Ohext(X6,X2)
| ~ c_WellTypeRT_OWTrt(X1,X6,X3,X4,X5) ),
cls_WTrt__hext__mono_0,
[final] ).
cnf(i_0_584,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrts_H(X1,X2,X3,X4,X5) ),
cls_wts_H__wts_0,
[final] ).
cnf(i_0_585,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_Progress_OWTrt_H(X1,X2,X3,X4,X5) ),
cls_wt_H__wt_0,
[final] ).
cnf(i_0_586,axiom,
( c_Progress_OWTrts_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5) ),
cls_wts__wts_H_0,
[final] ).
cnf(i_0_587,axiom,
( c_Progress_OWTrt_H(X1,X2,X3,X4,X5)
| ~ c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5) ),
cls_wt__wt_H_0,
[final] ).
cnf(i_0_588,axiom,
( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
| c_List_Olist_OCons(X1,X2,X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
cls_Cons__eq__append__conv_2,
[final] ).
cnf(i_0_589,axiom,
( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
| c_List_Olist_OCons(X1,X2,X3) = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
cls_Cons__eq__append__conv_3,
[final] ).
cnf(i_0_590,axiom,
( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
| X2 = c_List_Olist_OCons(X4,X5,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_append__eq__Cons__conv_3,
[final] ).
cnf(i_0_591,axiom,
( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
| X2 = c_List_Olist_OCons(X4,X5,X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_append__eq__Cons__conv_2,
[final] ).
cnf(i_0_592,axiom,
c_TypeSafe__Mirabelle_Osconf(v_P,v_E____,c_Pair(v_ha____,v_la____,tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),
cls_conf_0,
[final] ).
cnf(i_0_593,axiom,
( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X2,X3) = X5
| X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_append__eq__Cons__conv_1,
[final] ).
cnf(i_0_594,axiom,
( c_List_Olist_OCons(X1,c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X3) = X4
| X4 = c_List_Olist_ONil(X3)
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
cls_Cons__eq__append__conv_0,
[final] ).
cnf(i_0_595,axiom,
( X2 = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X1,X2,X4,X5,X3),X5,X3)
| X4 = c_List_Olist_ONil(X3)
| c_List_Olist_OCons(X1,X2,X3) != c_List_Oappend(X4,X5,X3) ),
cls_Cons__eq__append__conv_1,
[final] ).
cnf(i_0_596,axiom,
( X1 = c_List_Olist_OCons(X4,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X4,X5,X1,X2,X3),X3)
| X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_append__eq__Cons__conv_0,
[final] ).
cnf(i_0_597,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_598,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_599,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),X3) = X1,
inference(rw,[status(thm)],[i_0_509,c_0_507]),
[final] ).
cnf(i_0_600,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_601,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_602,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_603,axiom,
( X1 = X2
| ~ c_List_Olist__all2(c_fequal(X3),X1,X2,X3,X3) ),
cls_list__all2__eq_1,
[final] ).
cnf(i_0_604,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OCall(c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
cls_wt_0,
[final] ).
cnf(i_0_605,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,c_Nat_Onat_Onat__case(X2,X3,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
cls_nat_Osplit_0,
[final] ).
cnf(i_0_606,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X3),X6),X5))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X6)) ),
cls_conf__widen_0,
[final] ).
cnf(i_0_607,axiom,
( c_WellTypeRT_OWTrts(X1,X2,X3,X4,X5)
| ~ c_WellType_OWTs(X1,X3,X4,X5) ),
cls_WTs__implies__WTrts_0,
[final] ).
cnf(i_0_608,axiom,
( c_WellTypeRT_OWTrt(X1,X2,X3,X4,X5)
| ~ c_WellType_OWT(X1,X3,X4,X5) ),
cls_WT__implies__WTrt_0,
[final] ).
cnf(i_0_609,axiom,
( c_List_Olist__all2(X1,X2,X2,X3,X3)
| ~ hBOOL(hAPP(hAPP(X1,c_List_Osko__List__Xlist__all2__refl__1__1(X1,X3)),c_List_Osko__List__Xlist__all2__refl__1__1(X1,X3))) ),
cls_list__all2__refl_0,
[final] ).
cnf(i_0_610,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_611,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_Us____,v_Ts____,tc_Type_Oty,tc_Type_Oty),
cls_calculation_I4_J_0,
[final] ).
cnf(i_0_612,axiom,
( hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X2,X3),X4),X5))
| ~ hBOOL(hAPP(hAPP(c_Conform_Oconf(X1,X6,X3),X4),X5))
| ~ c_Objects_Ohext(X6,X2) ),
cls_conf__hext_0,
[final] ).
cnf(i_0_613,plain,
( X2 = c_List_Olist_ONil(X3)
| c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Oappend(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_510,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_614,plain,
( X2 = c_List_Olist_ONil(X3)
| c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_511,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_615,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Odrop(X1,X2,X3),X3) = c_List_Odrop(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_512,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_616,plain,
c_List_Odrop(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Odrop(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Odrop(X1,X2,X3),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_513,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_617,axiom,
( c_WellType_OWTs(X1,X2,c_List_Olist_OCons(X3,X4,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))),c_List_Olist_OCons(X5,X6,tc_Type_Oty))
| ~ c_WellType_OWTs(X1,X2,X4,X6)
| ~ c_WellType_OWT(X1,X2,X3,X5) ),
cls_WTCons_0,
[final] ).
cnf(i_0_618,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
cls_calculation_I5_J_0,
[final] ).
cnf(i_0_619,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OVal(v_v____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OClass(v_C____)),
cls_wte_0,
[final] ).
cnf(i_0_620,axiom,
c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X3,tc_Type_Oty,tc_Type_Oty),
cls_widens__refl_0,
[final] ).
cnf(i_0_621,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_622,axiom,
c_List_Olist__all2(c_fequal(X1),X2,X2,X1,X1),
cls_list__all2__eq_0,
[final] ).
cnf(i_0_623,axiom,
c_WellTypeRT_OWTrts(v_P,v_ha____,v_E____,v_esa____,v_Us____),
cls_wtes_0,
[final] ).
cnf(i_0_624,plain,
( c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Otake(X1,X2,X3),tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| ~ c_lessequals(X1,c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
inference(rw,[status(thm)],[i_0_514,c_0_507]),
[final] ).
cnf(i_0_625,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_515,c_0_507]),c_0_507]),
[final] ).
cnf(i_0_626,axiom,
( hAPP(c_List_Onth(c_List_Olist__update(X1,X2,X3,X4),X4),X5) = hAPP(c_List_Onth(X1,X4),X5)
| X2 = X5 ),
cls_nth__list__update__neq_0,
[final] ).
cnf(i_0_627,axiom,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X2,tc_nat))) ),
cls_nat__diff__split_1,
[final] ).
cnf(i_0_628,axiom,
( hBOOL(hAPP(X1,X3))
| ~ hBOOL(hAPP(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X2,tc_nat))) ),
cls_nat__diff__split__asm_1,
[final] ).
cnf(i_0_629,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_630,axiom,
( c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Otake(X1,X3,X4),c_List_Otake(X2,c_List_Odrop(X1,X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Nat_Osize__class_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
cls_take__add_0,
[final] ).
cnf(i_0_631,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_632,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_633,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_ONil(X2),
inference(rw,[status(thm)],[i_0_516,c_0_507]),
[final] ).
cnf(i_0_634,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_635,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_636,axiom,
( X1 = X5
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
cls_Pair__eq_0,
[final] ).
cnf(i_0_637,axiom,
( X1 = X5
| c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
cls_exp_Osimps_I9_J_0,
[final] ).
cnf(i_0_638,axiom,
( X2 = X6
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
cls_Pair__eq_1,
[final] ).
cnf(i_0_639,axiom,
( X2 = X6
| c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
cls_exp_Osimps_I9_J_1,
[final] ).
cnf(i_0_640,axiom,
( X3 = X7
| c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OCall(X5,X6,X7,X4) ),
cls_exp_Osimps_I9_J_2,
[final] ).
cnf(i_0_641,axiom,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X5),X4))
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X5)) ),
cls_widen__trans_0,
[final] ).
cnf(i_0_642,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_643,axiom,
hAPP(c_List_Onth(c_List_Oappend(X1,c_List_Olist_OCons(X2,X3,X4),X4),X4),c_Nat_Osize__class_Osize(X1,tc_List_Olist(X4))) = X2,
cls_nth__append__length_0,
[final] ).
cnf(i_0_644,axiom,
( hAPP(c_List_Onth(c_List_Odrop(X1,X2,X3),X3),X4) = hAPP(c_List_Onth(X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,tc_nat))
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,tc_nat),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat) ),
cls_nth__drop_0,
[final] ).
cnf(i_0_645,axiom,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_take__Cons__number__of_1,
[final] ).
cnf(i_0_646,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_647,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_648,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_649,plain,
c_Nat_Osize__class_Osize(c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
inference(rw,[status(thm)],[i_0_517,c_0_507]),
[final] ).
cnf(i_0_650,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X4,X3,tc_nat) ),
cls_power__decreasing_0,
[final] ).
cnf(i_0_651,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_652,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_653,axiom,
( c_List_Otake(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4),X4)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_take__Cons_H_1,
[final] ).
cnf(i_0_654,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I20_J_0,
[final] ).
cnf(i_0_655,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_656,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_657,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_658,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_659,axiom,
c_List_Otake(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(X2,c_List_Otake(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),X4),
cls_take__drop_0,
[final] ).
cnf(i_0_660,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),X4) = c_Nat_Onat_Onat__case(X1,c_List_Onth(X2,X3),X4,X3),
cls_nth_Osimps_0,
[final] ).
cnf(i_0_661,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_662,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X5,X4,X1)
| ~ c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X5,X1),X1) ),
cls_le__add__right__mono_0,
[final] ).
cnf(i_0_663,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_lessequals(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
cls_le__diff__conv2_0,
[final] ).
cnf(i_0_664,axiom,
( c_lessequals(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_le__diff__conv2_1,
[final] ).
cnf(i_0_665,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_Int_Onumber__class_Onumber__of(X4,tc_nat)) = hAPP(c_List_Onth(X2,X3),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X4,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| c_Int_Onumber__class_Onumber__of(X4,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_nth__Cons__number__of_1,
[final] ).
cnf(i_0_666,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
cls_add__le__cancel__right_0,
[final] ).
cnf(i_0_667,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
cls_add__le__cancel__left_0,
[final] ).
cnf(i_0_668,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_669,axiom,
hAPP(c_List_Onth(c_List_Oappend(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),X4,tc_nat)) = hAPP(c_List_Onth(X2,X3),X4),
cls_nth__append__length__plus_0,
[final] ).
cnf(i_0_670,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_671,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
cls_rev__eq__Cons__iff_1,
[final] ).
cnf(i_0_672,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
cls_nat__add__left__cancel__le_0,
[final] ).
cnf(i_0_673,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_power__mono_0,
[final] ).
cnf(i_0_674,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ c_lessequals(X3,X4,tc_nat) ),
cls_power__increasing_0,
[final] ).
cnf(i_0_675,axiom,
( c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_le__add__diff_0,
[final] ).
cnf(i_0_676,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__mono_0,
[final] ).
cnf(i_0_677,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_678,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
| ~ c_lessequals(X2,X4,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_add__le__mono_0,
[final] ).
cnf(i_0_679,axiom,
c_List_Oreplicate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4) = c_List_Oappend(c_List_Oreplicate(X1,X3,X4),c_List_Oreplicate(X2,X3,X4),X4),
cls_replicate__add_0,
[final] ).
cnf(i_0_680,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_681,axiom,
c_List_Olist__update(c_List_Olist_OCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_nat),X4,X3) = c_List_Olist_OCons(X4,X2,X3),
cls_list__update__code_I2_J_0,
[final] ).
cnf(i_0_682,axiom,
c_Expr_Oexp_OCall(X1,X2,X3,X4) != c_Expr_Oexp_OVal(X5,X4),
cls_exp_Osimps_I81_J_0,
[final] ).
cnf(i_0_683,axiom,
c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OCall(X3,X4,X5,X2),
cls_exp_Osimps_I80_J_0,
[final] ).
cnf(i_0_684,axiom,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_drop__Cons__number__of_1,
[final] ).
cnf(i_0_685,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),X4) = hAPP(c_List_Onth(X2,X3),c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X4 = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_nth__Cons_H_1,
[final] ).
cnf(i_0_686,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X1,tc_nat) = X2
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
cls_le__imp__diff__is__add_1,
[final] ).
cnf(i_0_687,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) ),
cls_le__diff__conv_1,
[final] ).
cnf(i_0_688,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat) ),
cls_le__diff__conv_0,
[final] ).
cnf(i_0_689,axiom,
( c_HOL_Oplus__class_Oplus(X2,X4,X1) = X5
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X3,X5,X1) ),
cls_add__cancel__21_0,
[final] ).
cnf(i_0_690,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_691,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,X1,tc_nat) ),
cls_diff__add__assoc2_0,
[final] ).
cnf(i_0_692,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_add__diff__assoc2_0,
[final] ).
cnf(i_0_693,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_diff__add__assoc_0,
[final] ).
cnf(i_0_694,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_diff__diff__right_0,
[final] ).
cnf(i_0_695,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_add__diff__assoc_0,
[final] ).
cnf(i_0_696,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_697,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_698,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_699,axiom,
c_List_Orev(c_List_Otake(X1,X2,X3),X3) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
cls_rev__take_0,
[final] ).
cnf(i_0_700,axiom,
c_List_Orev(c_List_Odrop(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),X1,tc_nat),c_List_Orev(X2,X3),X3),
cls_rev__drop_0,
[final] ).
cnf(i_0_701,axiom,
( c_Nat_Onat_Onat__case(X1,X2,X3,X4) = hAPP(X2,c_HOL_Ominus__class_Ominus(X3,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
| X3 = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_Nitpick_Onat__case__def_1,
[final] ).
cnf(i_0_702,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__nonpos__nonpos_0,
[final] ).
cnf(i_0_703,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__nonneg_0,
[final] ).
cnf(i_0_704,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_add__le__cancel__left_1,
[final] ).
cnf(i_0_705,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_add__left__mono_0,
[final] ).
cnf(i_0_706,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__le__cancel__right_1,
[final] ).
cnf(i_0_707,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__right__mono_0,
[final] ).
cnf(i_0_708,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_add__increasing2_0,
[final] ).
cnf(i_0_709,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_add__increasing_0,
[final] ).
cnf(i_0_710,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_711,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_712,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
cls_nat__add__left__cancel__le_1,
[final] ).
cnf(i_0_713,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_add__le__mono1_0,
[final] ).
cnf(i_0_714,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_715,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
cls_zero__le__double__add__iff__zero__le__single__add_0,
[final] ).
cnf(i_0_716,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__le__zero__iff__single__add__le__zero_0,
[final] ).
cnf(i_0_717,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I23_J_0,
[final] ).
cnf(i_0_718,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,
[final] ).
cnf(i_0_719,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__assoc_0,
[final] ).
cnf(i_0_720,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I21_J_0,
[final] ).
cnf(i_0_721,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I25_J_0,
[final] ).
cnf(i_0_722,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__a_0,
[final] ).
cnf(i_0_723,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__left__commute_0,
[final] ).
cnf(i_0_724,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I22_J_0,
[final] ).
cnf(i_0_725,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_add__cancel__21_1,
[final] ).
cnf(i_0_726,axiom,
( c_List_Odrop(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X3,X4)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_drop__Cons_H_1,
[final] ).
cnf(i_0_727,axiom,
c_List_Olist__update(X1,X2,hAPP(c_List_Onth(X1,X3),X2),X3) = X1,
cls_list__update__id_0,
[final] ).
cnf(i_0_728,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_le__iff__diff__le__0_1,
[final] ).
cnf(i_0_729,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_730,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_731,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_732,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_733,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_734,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_735,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_736,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_737,axiom,
c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
cls_rev_Osimps_I2_J_0,
[final] ).
cnf(i_0_738,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_739,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_740,axiom,
c_List_Orotate(X1,c_List_Orotate(X2,X3,X4),X4) = c_List_Orotate(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
cls_rotate__rotate_0,
[final] ).
cnf(i_0_741,axiom,
c_List_Odrop(X1,c_List_Odrop(X2,X3,X4),X4) = c_List_Odrop(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,X4),
cls_drop__drop_0,
[final] ).
cnf(i_0_742,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_743,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X1) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
| ~ class_Ring__and__Field_Oring__1(X1)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_of__nat__diff_0,
[final] ).
cnf(i_0_744,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),
cls_diff__cancel_0,
[final] ).
cnf(i_0_745,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),
cls_diff__cancel2_0,
[final] ).
cnf(i_0_746,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_747,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
cls_diff__diff__left_0,
[final] ).
cnf(i_0_748,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),
cls_nat__add__assoc_0,
[final] ).
cnf(i_0_749,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat),
cls_nat__add__left__commute_0,
[final] ).
cnf(i_0_750,axiom,
c_List_Otl(c_List_Otake(X1,X2,X3),X3) = c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(X2,X3),X3),
cls_tl__take_0,
[final] ).
cnf(i_0_751,axiom,
( X1 = c_List_Oappend(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
cls_rev__eq__Cons__iff_0,
[final] ).
cnf(i_0_752,axiom,
( hAPP(c_List_Onth(c_List_Olist_OCons(X2,X3,X4),X4),c_Int_Onumber__class_Onumber__of(X1,tc_nat)) = X2
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_nth__Cons__number__of_0,
[final] ).
cnf(i_0_753,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
cls_add__leE_0,
[final] ).
cnf(i_0_754,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),X2,tc_nat) ),
cls_add__leE_1,
[final] ).
cnf(i_0_755,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__eq__0__iff_0,
[final] ).
cnf(i_0_756,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__eq__0__iff_1,
[final] ).
cnf(i_0_757,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_758,axiom,
( c_List_Otl(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_tl__replicate_0,
[final] ).
cnf(i_0_759,plain,
c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(rw,[status(thm)],[i_0_518,c_0_507]),
[final] ).
cnf(i_0_760,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__le__zero__iff__single__add__le__zero_1,
[final] ).
cnf(i_0_761,axiom,
( c_lessequals(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1) ),
cls_one__le__power_0,
[final] ).
cnf(i_0_762,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__double__add__iff__zero__le__single__add_1,
[final] ).
cnf(i_0_763,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__power_0,
[final] ).
cnf(i_0_764,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_765,axiom,
( c_List_Odrop(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,X3,X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_drop__Cons__number__of_0,
[final] ).
cnf(i_0_766,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__diff__le__0_0,
[final] ).
cnf(i_0_767,axiom,
hAPP(c_List_Onth(c_List_Olist_OCons(X1,X2,X3),X3),c_HOL_Ozero__class_Ozero(tc_nat)) = X1,
cls_nth__Cons_H_0,
[final] ).
cnf(i_0_768,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_769,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_770,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_771,axiom,
c_Nat_Osize__class_Osize(c_List_Oappend(X1,X2,X3),tc_List_Olist(X3)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X3)),c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),tc_nat),
cls_length__append_0,
[final] ).
cnf(i_0_772,axiom,
c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3) = X1,
cls_Nitpick_Onat__case__def_0,
[final] ).
cnf(i_0_773,axiom,
c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),X3) = X1,
cls_nat__case__0_0,
[final] ).
cnf(i_0_774,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = X1
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_le__add__diff__inverse2_0,
[final] ).
cnf(i_0_775,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_776,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__add__diff__inverse_0,
[final] ).
cnf(i_0_777,axiom,
( X2 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__imp__diff__is__add_0,
[final] ).
cnf(i_0_778,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_termination__basic__simps_I3_J_0,
[final] ).
cnf(i_0_779,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_trans__le__add1_0,
[final] ).
cnf(i_0_780,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_termination__basic__simps_I4_J_0,
[final] ).
cnf(i_0_781,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_trans__le__add2_0,
[final] ).
cnf(i_0_782,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_783,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_784,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),X1) = c_HOL_Oplus__class_Oplus(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
cls_of__nat__add_0,
[final] ).
cnf(i_0_785,axiom,
( c_lessequals(X2,X3,tc_nat)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1) ),
cls_of__nat__le__iff_0,
[final] ).
cnf(i_0_786,axiom,
c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
cls_rev__append_0,
[final] ).
cnf(i_0_787,axiom,
c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),
cls_take__1__Cons_0,
[final] ).
cnf(i_0_788,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_789,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_790,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_791,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
cls_drop__Cons_H_0,
[final] ).
cnf(i_0_792,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_793,axiom,
( hAPP(c_List_Onth(X2,X3),X1) = X4
| c_List_Odrop(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_nth__via__drop_0,
[final] ).
cnf(i_0_794,axiom,
( c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| c_Int_Onumber__class_Onumber__of(X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_take__Cons__number__of_0,
[final] ).
cnf(i_0_795,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_796,axiom,
( c_List_Orotate(X1,X2,X3) = X2
| ~ c_lessequals(c_Nat_Osize__class_Osize(X2,tc_List_Olist(X3)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
cls_rotate__length01_0,
[final] ).
cnf(i_0_797,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_798,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_799,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_800,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_801,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_802,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_803,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_804,axiom,
( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X2,X1),c_Nat_Osemiring__1__class_Oof__nat(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(X2,X3,tc_nat) ),
cls_of__nat__le__iff_1,
[final] ).
cnf(i_0_805,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
cls_rev__singleton__conv_1,
[final] ).
cnf(i_0_806,axiom,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
cls_singleton__rev__conv_1,
[final] ).
cnf(i_0_807,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),c_Type_Oty_ONT),c_Type_Oty_OClass(X3))),
cls_widen__Class_2,
[final] ).
cnf(i_0_808,axiom,
( X3 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
cls_class__ringb_Oadd__cancel_0,
[final] ).
cnf(i_0_809,axiom,
hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X1,X2),X3),X3)),
cls_widen__refl_0,
[final] ).
cnf(i_0_810,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_811,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(cn,[status(thm)],[i_0_519]),
[final] ).
cnf(i_0_812,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_813,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_814,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_815,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_816,axiom,
( X2 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X4,X3,X1) ),
cls_add__right__cancel_0,
[final] ).
cnf(i_0_817,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_818,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
cls_add__left__cancel_0,
[final] ).
cnf(i_0_819,axiom,
( X3 = X4
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) != c_HOL_Oplus__class_Oplus(X2,X4,X1) ),
cls_add__imp__eq_0,
[final] ).
cnf(i_0_820,axiom,
( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
| c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X3,X2) ),
cls_singleton__rev__conv_0,
[final] ).
cnf(i_0_821,axiom,
( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
cls_rev__singleton__conv_0,
[final] ).
cnf(i_0_822,axiom,
( X2 = X5
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
cls_replicate__eq__replicate_1,
[final] ).
cnf(i_0_823,axiom,
( X2 = X1
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_diffs0__imp__equal_0,
[final] ).
cnf(i_0_824,axiom,
c_List_Orev(c_List_Oreplicate(X1,X2,X3),X3) = c_List_Oreplicate(X1,X2,X3),
cls_rev__replicate_0,
[final] ).
cnf(i_0_825,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
cls_append__same__eq_0,
[final] ).
cnf(i_0_826,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_827,axiom,
( X1 = X4
| c_List_Oreplicate(X1,X2,X3) != c_List_Oreplicate(X4,X5,X3) ),
cls_replicate__eq__replicate_0,
[final] ).
cnf(i_0_828,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
cls_same__append__eq_0,
[final] ).
cnf(i_0_829,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_830,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__antisym_0,
[final] ).
cnf(i_0_831,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_832,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_add__diff__cancel_0,
[final] ).
cnf(i_0_833,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X2,X3,X1),X3,X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__add__cancel_0,
[final] ).
cnf(i_0_834,axiom,
( X1 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X2,tc_nat) ),
cls_nat__add__right__cancel_0,
[final] ).
cnf(i_0_835,axiom,
( X2 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
cls_nat__add__left__cancel_0,
[final] ).
cnf(i_0_836,axiom,
( X2 = X3
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X1,X3,tc_nat) ),
cls_natgb_Oadd__cancel_0,
[final] ).
cnf(i_0_837,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3),
cls_take__Cons_H_0,
[final] ).
cnf(i_0_838,axiom,
c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = X2,
cls_drop__1__Cons_0,
[final] ).
cnf(i_0_839,axiom,
( c_List_Orotate1(X1,X2) = X1
| ~ c_lessequals(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ),
cls_rotate1__length01_0,
[final] ).
cnf(i_0_840,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_diff__add__0_0,
[final] ).
cnf(i_0_841,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
cls_diff__add__inverse_0,
[final] ).
cnf(i_0_842,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1,
cls_diff__add__inverse2_0,
[final] ).
cnf(i_0_843,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
cls_diff__le__self_0,
[final] ).
cnf(i_0_844,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
cls_le__iff__add_1,
[final] ).
cnf(i_0_845,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
cls_le__add1_0,
[final] ).
cnf(i_0_846,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
cls_le__add2_0,
[final] ).
cnf(i_0_847,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_848,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_diff__is__0__eq_0,
[final] ).
cnf(i_0_849,axiom,
c_Nat_Osize__class_Osize(c_List_Otl(X1,X2),tc_List_Olist(X2)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),
cls_length__tl_0,
[final] ).
cnf(i_0_850,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_diff__is__0__eq_1,
[final] ).
cnf(i_0_851,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_852,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| ~ class_Ring__and__Field_Omult__zero(X1)
| ~ class_Power_Opower(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_power__eq__0__iff_0,
[final] ).
cnf(i_0_853,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| ~ class_Ring__and__Field_Omult__zero(X1)
| ~ class_Power_Opower(X1)
| c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_power__eq__0__iff_1,
[final] ).
cnf(i_0_854,axiom,
c_List_Otl(c_List_Olist_OCons(X1,X2,X3),X3) = X2,
cls_tl_Osimps_I2_J_0,
[final] ).
cnf(i_0_855,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_856,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__commute_0,
[final] ).
cnf(i_0_857,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__c_0,
[final] ).
cnf(i_0_858,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I24_J_0,
[final] ).
cnf(i_0_859,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X3,X2),
cls_replicate__eq__replicate_2,
[final] ).
cnf(i_0_860,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__one__le__zero_0,
[final] ).
cnf(i_0_861,axiom,
( X2 = X3
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_class__ringb_Osubr0__iff_0,
[final] ).
cnf(i_0_862,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 != c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
cls_class__ringb_Oadd__r0__iff_0,
[final] ).
cnf(i_0_863,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0,
[final] ).
cnf(i_0_864,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_865,axiom,
c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),
cls_nat__add__commute_0,
[final] ).
cnf(i_0_866,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X2,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_double__eq__0__iff_0,
[final] ).
cnf(i_0_867,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| c_Power_Opower__class_Opower(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_field__power__not__zero_0,
[final] ).
cnf(i_0_868,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_eq__iff__diff__eq__0_1,
[final] ).
cnf(i_0_869,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_right__minus__eq_0,
[final] ).
cnf(i_0_870,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Otake(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_take__eq__Nil_0,
[final] ).
cnf(i_0_871,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_872,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_873,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_874,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_875,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_876,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| ~ class_Ring__and__Field_Omult__zero(X1)
| ~ class_Power_Opower(X1) ),
cls_power__eq__0__iff_2,
[final] ).
cnf(i_0_877,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Oreplicate(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_replicate__empty_0,
[final] ).
cnf(i_0_878,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_List_Olist_ONil(X1) != c_List_Oreplicate(X2,X3,X1) ),
cls_empty__replicate_0,
[final] ).
cnf(i_0_879,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_zero__le__imp__of__nat_0,
[final] ).
cnf(i_0_880,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_of__nat__0__le__iff_0,
[final] ).
cnf(i_0_881,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
cls_append__self__conv2_0,
[final] ).
cnf(i_0_882,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
cls_append__self__conv_0,
[final] ).
cnf(i_0_883,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
cls_self__append__conv_0,
[final] ).
cnf(i_0_884,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
cls_self__append__conv2_0,
[final] ).
cnf(i_0_885,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
cls_le__0__eq_0,
[final] ).
cnf(i_0_886,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_neq__Nil__conv_1,
[final] ).
cnf(i_0_887,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_list_Osimps_I3_J_0,
[final] ).
cnf(i_0_888,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
cls_list_Osimps_I2_J_0,
[final] ).
cnf(i_0_889,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_add__is__0_0,
[final] ).
cnf(i_0_890,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_add__is__0_1,
[final] ).
cnf(i_0_891,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != X1 ),
cls_add__eq__self__zero_0,
[final] ).
cnf(i_0_892,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
cls_natgb_Oadd__r0__iff_0,
[final] ).
cnf(i_0_893,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
cls_not__Cons__self2_0,
[final] ).
cnf(i_0_894,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
cls_not__Cons__self_0,
[final] ).
cnf(i_0_895,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Opower(X1) ),
cls_power__0__left_1,
[final] ).
cnf(i_0_896,axiom,
( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__0(X1)
| ~ class_Power_Opower(X1) ),
cls_power__0__left_0,
[final] ).
cnf(i_0_897,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
cls_double__eq__0__iff_1,
[final] ).
cnf(i_0_898,axiom,
( X2 = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Oadd__r0__iff_1,
[final] ).
cnf(i_0_899,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
cls_zero__le__one_0,
[final] ).
cnf(i_0_900,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Osubr0__iff_1,
[final] ).
cnf(i_0_901,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_power__one_0,
[final] ).
cnf(i_0_902,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_903,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_904,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Power_Opower(X1) ),
cls_power__0_0,
[final] ).
cnf(i_0_905,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Opwr__0_0,
[final] ).
cnf(i_0_906,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
cls_add__0__left_0,
[final] ).
cnf(i_0_907,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__1_0,
[final] ).
cnf(i_0_908,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I5_J_0,
[final] ).
cnf(i_0_909,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Oadd__0_0,
[final] ).
cnf(i_0_910,axiom,
( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__0__right_0,
[final] ).
cnf(i_0_911,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
cls_monoid__add__class_Oadd__0__right_0,
[final] ).
cnf(i_0_912,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_comm__monoid__add_Omult__1__right_0,
[final] ).
cnf(i_0_913,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I6_J_0,
[final] ).
cnf(i_0_914,axiom,
c_Nat_Osize__class_Osize(c_List_Orev(X1,X2),tc_List_Olist(X2)) = c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)),
cls_length__rev_0,
[final] ).
cnf(i_0_915,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_916,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_power__one__right_0,
[final] ).
cnf(i_0_917,axiom,
( c_Power_Opower__class_Opower(X2,c_HOL_Oone__class_Oone(tc_nat),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I33_J_0,
[final] ).
cnf(i_0_918,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_eq__iff__diff__eq__0_0,
[final] ).
cnf(i_0_919,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_right__minus__eq_1,
[final] ).
cnf(i_0_920,axiom,
( c_HOL_Ominus__class_Ominus(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_diff__self_0,
[final] ).
cnf(i_0_921,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_922,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_923,axiom,
c_List_Odrop(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_drop__Nil_0,
[final] ).
cnf(i_0_924,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_925,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_926,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_add__is__0_2,
[final] ).
cnf(i_0_927,axiom,
c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
cls_take__0_0,
[final] ).
cnf(i_0_928,axiom,
c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = c_List_Olist_ONil(X2),
cls_replicate__empty_1,
[final] ).
cnf(i_0_929,axiom,
c_List_Olist_ONil(X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1),
cls_empty__replicate_1,
[final] ).
cnf(i_0_930,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
cls_append__Nil_0,
[final] ).
cnf(i_0_931,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
cls_append__Nil2_0,
[final] ).
cnf(i_0_932,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_self__append__conv2_1,
[final] ).
cnf(i_0_933,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_eq__Nil__appendI_0,
[final] ).
cnf(i_0_934,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
cls_self__append__conv_1,
[final] ).
cnf(i_0_935,axiom,
( X2 = X3
| ~ class_Int_Oring__char__0(X1)
| ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(X2,X1) != c_Int_Onumber__class_Onumber__of(X3,X1) ),
cls_eq__number__of_0,
[final] ).
cnf(i_0_936,axiom,
( c_Objects_Ohext(X1,X2)
| ~ c_Objects_Ohext(X3,X2)
| ~ c_Objects_Ohext(X1,X3) ),
cls_hext__trans_0,
[final] ).
cnf(i_0_937,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_le__0__eq_1,
[final] ).
cnf(i_0_938,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_diff__0__eq__0_0,
[final] ).
cnf(i_0_939,axiom,
c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1,
cls_drop__0_0,
[final] ).
cnf(i_0_940,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
cls_plus__nat_Oadd__0_0,
[final] ).
cnf(i_0_941,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
cls_minus__nat_Odiff__0_0,
[final] ).
cnf(i_0_942,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
cls_Nat_Oadd__0__right_0,
[final] ).
cnf(i_0_943,axiom,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_natgb_Oadd__r0__iff_1,
[final] ).
cnf(i_0_944,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
cls_le0_0,
[final] ).
cnf(i_0_945,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_diff__self__eq__0_0,
[final] ).
cnf(i_0_946,axiom,
( X2 = X3
| ~ class_Nat_Osemiring__char__0(X1)
| c_Nat_Osemiring__1__class_Oof__nat(X2,X1) != c_Nat_Osemiring__1__class_Oof__nat(X3,X1) ),
cls_of__nat__eq__iff_0,
[final] ).
cnf(i_0_947,axiom,
c_lessequals(X1,X1,tc_nat),
cls_le__refl_0,
[final] ).
cnf(i_0_948,axiom,
c_lessequals(X1,X1,tc_nat),
cls_eq__imp__le_0,
[final] ).
cnf(i_0_949,axiom,
( X1 = X3
| c_Expr_Oexp_OVal(X1,X2) != c_Expr_Oexp_OVal(X3,X2) ),
cls_exp_Osimps_I3_J_0,
[final] ).
cnf(i_0_950,axiom,
( X1 = X3
| c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
cls_rev__is__rev__conv_0,
[final] ).
cnf(i_0_951,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_Nat_Osize__class_Osize(X1,tc_List_Olist(X2)) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_length__0__conv_0,
[final] ).
cnf(i_0_952,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
cls_rev__rev__ident_0,
[final] ).
cnf(i_0_953,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
cls_rev__swap_1,
[final] ).
cnf(i_0_954,axiom,
X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
cls_rev__swap_0,
[final] ).
cnf(i_0_955,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_956,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_957,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
cls_rev__is__Nil__conv_0,
[final] ).
cnf(i_0_958,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_959,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Orev(X2,X1) ),
cls_Nil__is__rev__conv_0,
[final] ).
cnf(i_0_960,axiom,
c_Nat_Osize__class_Osize(c_List_Olist_ONil(X1),tc_List_Olist(X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_length__0__conv_1,
[final] ).
cnf(i_0_961,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
cls_of__nat__1_0,
[final] ).
cnf(i_0_962,axiom,
( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Osemiring__1(X1) ),
cls_of__nat__0_0,
[final] ).
cnf(i_0_963,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_rev__is__Nil__conv_1,
[final] ).
cnf(i_0_964,axiom,
c_List_Orotate1(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_rotate__simps_0,
[final] ).
cnf(i_0_965,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_966,axiom,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
cls_Nil__is__rev__conv_1,
[final] ).
cnf(i_0_967,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
cls_zero__neq__one_0,
[final] ).
cnf(i_0_968,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_one__neq__zero_0,
[final] ).
cnf(i_0_969,axiom,
( X1 = X2
| c_Type_Oty_OClass(X1) != c_Type_Oty_OClass(X2) ),
cls_ty_Oinject_0,
[final] ).
cnf(i_0_970,axiom,
c_Objects_Ohext(X1,X1),
cls_hext__refl_0,
[final] ).
cnf(i_0_971,axiom,
c_Type_Oty_OClass(X1) != c_Type_Oty_ONT,
cls_ty_Osimps_I21_J_0,
[final] ).
cnf(i_0_972,axiom,
c_Type_Oty_ONT != c_Type_Oty_OClass(X1),
cls_ty_Osimps_I20_J_0,
[final] ).
cnf(i_0_973,axiom,
class_Orderings_Oorder(tc_Int_Oint),
clsarity_Int__Oint__Orderings_Oorder,
[final] ).
cnf(i_0_974,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_975,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
clsarity_Int__Oint__Orderings_Opreorder,
[final] ).
cnf(i_0_976,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_977,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
clsarity_Int__Oint__Orderings_Olinorder,
[final] ).
cnf(i_0_978,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_979,axiom,
class_Ring__and__Field_Oring__1(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oring__1,
[final] ).
cnf(i_0_980,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,
[final] ).
cnf(i_0_981,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,
[final] ).
cnf(i_0_982,axiom,
class_Nat_Osemiring__char__0(tc_Int_Oint),
clsarity_Int__Oint__Nat_Osemiring__char__0,
[final] ).
cnf(i_0_983,axiom,
class_Nat_Osemiring__char__0(tc_nat),
clsarity_nat__Nat_Osemiring__char__0,
[final] ).
cnf(i_0_984,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
[final] ).
cnf(i_0_985,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
[final] ).
cnf(i_0_986,axiom,
class_Ring__and__Field_Osemiring__0(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Osemiring__0,
[final] ).
cnf(i_0_987,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
clsarity_nat__Ring__and__Field_Osemiring__0,
[final] ).
cnf(i_0_988,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Omonoid__add,
[final] ).
cnf(i_0_989,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
clsarity_nat__OrderedGroup_Omonoid__add,
[final] ).
cnf(i_0_990,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_991,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_992,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_993,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_994,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oidom,
[final] ).
cnf(i_0_995,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
clsarity_Int__Oint__Int_Onumber__ring,
[final] ).
cnf(i_0_996,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
clsarity_Int__Oint__Int_Oring__char__0,
[final] ).
cnf(i_0_997,axiom,
class_Ring__and__Field_Osemiring__1(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Osemiring__1,
[final] ).
cnf(i_0_998,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Osemiring__1,
[final] ).
cnf(i_0_999,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Omonoid__mult,
[final] ).
cnf(i_0_1000,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
clsarity_nat__OrderedGroup_Omonoid__mult,
[final] ).
cnf(i_0_1001,axiom,
class_Power_Opower(tc_Int_Oint),
clsarity_Int__Oint__Power_Opower,
[final] ).
cnf(i_0_1002,axiom,
class_Power_Opower(tc_nat),
clsarity_nat__Power_Opower,
[final] ).
cnf(i_0_1003,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Omult__zero,
[final] ).
cnf(i_0_1004,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
clsarity_nat__Ring__and__Field_Omult__zero,
[final] ).
cnf(i_0_1005,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,
[final] ).
cnf(i_0_1006,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
clsarity_nat__Ring__and__Field_Ono__zero__divisors,
[final] ).
cnf(i_0_1007,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,
[final] ).
cnf(i_0_1008,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
clsarity_nat__Ring__and__Field_Ozero__neq__one,
[final] ).
cnf(i_0_1009,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_1010,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_1011,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_1012,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
clsarity_nat__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_1013,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_1014,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_1015,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Oab__group__add,
[final] ).
cnf(i_0_1016,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,
[final] ).
cnf(i_0_1017,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,
[final] ).
cnf(i_0_1018,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,
[final] ).
cnf(i_0_1019,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,
[final] ).
cnf(i_0_1020,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Ogroup__add,
[final] ).
cnf(i_0_1021,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,
[final] ).
cnf(i_0_1022,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,
[final] ).
cnf(i_0_1023,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
clsarity_nat__Ring__and__Field_Oordered__semidom,
[final] ).
cnf(i_0_1024,negated_conjecture,
~ v_thesis____,
cls_conjecture_0,
[final] ).
cnf(i_0_1025,axiom,
X1 = X1 ).
cnf(i_0_1026,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1027,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1028,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) = c_Expr_Oexp_OCall(X2,X3,X4,X5) ) ).
cnf(i_0_1029,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) = c_Expr_Oexp_OCall(X3,X2,X4,X5) ) ).
cnf(i_0_1030,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) = c_Expr_Oexp_OCall(X3,X4,X2,X5) ) ).
cnf(i_0_1031,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X3,X4,X5,X1) = c_Expr_Oexp_OCall(X3,X4,X5,X2) ) ).
cnf(i_0_1032,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1033,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1034,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1035,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1036,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1037,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1038,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).
cnf(i_0_1039,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).
cnf(i_0_1040,axiom,
( X1 != X2
| c_List_Otake(X1,X3,X4) = c_List_Otake(X2,X3,X4) ) ).
cnf(i_0_1041,axiom,
( X1 != X2
| c_List_Otake(X3,X1,X4) = c_List_Otake(X3,X2,X4) ) ).
cnf(i_0_1042,axiom,
( X1 != X2
| c_List_Otake(X3,X4,X1) = c_List_Otake(X3,X4,X2) ) ).
cnf(i_0_1043,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1044,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1045,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1046,axiom,
( X1 != X2
| c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).
cnf(i_0_1047,axiom,
( X1 != X2
| c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).
cnf(i_0_1048,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).
cnf(i_0_1049,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).
cnf(i_0_1050,axiom,
( X1 != X2
| c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).
cnf(i_0_1051,axiom,
( X1 != X2
| c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).
cnf(i_0_1052,axiom,
( X1 != X2
| c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).
cnf(i_0_1053,axiom,
( X1 != X2
| c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).
cnf(i_0_1054,axiom,
( X1 != X2
| c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).
cnf(i_0_1055,axiom,
( X1 != X2
| c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).
cnf(i_0_1056,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1057,axiom,
( X1 != X2
| c_Expr_Oexp_OVal(X1,X3) = c_Expr_Oexp_OVal(X2,X3) ) ).
cnf(i_0_1058,axiom,
( X1 != X2
| c_Expr_Oexp_OVal(X3,X1) = c_Expr_Oexp_OVal(X3,X2) ) ).
cnf(i_0_1059,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X1,X3,X4,X5) = c_Nat_Onat_Onat__case(X2,X3,X4,X5) ) ).
cnf(i_0_1060,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X3,X1,X4,X5) = c_Nat_Onat_Onat__case(X3,X2,X4,X5) ) ).
cnf(i_0_1061,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X3,X4,X1,X5) = c_Nat_Onat_Onat__case(X3,X4,X2,X5) ) ).
cnf(i_0_1062,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X3,X4,X5,X1) = c_Nat_Onat_Onat__case(X3,X4,X5,X2) ) ).
cnf(i_0_1063,axiom,
( X1 != X2
| c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).
cnf(i_0_1064,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).
cnf(i_0_1065,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).
cnf(i_0_1066,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).
cnf(i_0_1067,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).
cnf(i_0_1068,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).
cnf(i_0_1069,axiom,
( X1 != X2
| c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).
cnf(i_0_1070,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).
cnf(i_0_1071,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).
cnf(i_0_1072,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).
cnf(i_0_1073,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).
cnf(i_0_1074,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).
cnf(i_0_1075,axiom,
( X1 != X2
| c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).
cnf(i_0_1076,axiom,
( X1 != X2
| c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).
cnf(i_0_1077,axiom,
( X1 != X2
| c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).
cnf(i_0_1078,axiom,
( X1 != X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X3) = c_Nat_Osemiring__1__class_Oof__nat(X2,X3) ) ).
cnf(i_0_1079,axiom,
( X1 != X2
| c_Nat_Osemiring__1__class_Oof__nat(X3,X1) = c_Nat_Osemiring__1__class_Oof__nat(X3,X2) ) ).
cnf(i_0_1080,axiom,
( X1 != X2
| c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).
cnf(i_0_1081,axiom,
( X1 != X2
| c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).
cnf(i_0_1082,axiom,
( X1 != X2
| c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).
cnf(i_0_1083,axiom,
( X1 != X2
| c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).
cnf(i_0_1084,axiom,
( X1 != X2
| c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).
cnf(i_0_1085,axiom,
( X1 != X2
| c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).
cnf(i_0_1086,axiom,
( X1 != X2
| c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).
cnf(i_0_1087,axiom,
( X1 != X2
| c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).
cnf(i_0_1088,axiom,
( X1 != X2
| c_Type_Oty_OClass(X1) = c_Type_Oty_OClass(X2) ) ).
cnf(i_0_1089,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1090,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1091,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X1,X3,X4,X5,X6,X7,X8,X9)
| c_TypeRel_OMethod(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_1092,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X1,X4,X5,X6,X7,X8,X9)
| c_TypeRel_OMethod(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_1093,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X1,X5,X6,X7,X8,X9)
| c_TypeRel_OMethod(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_1094,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X1,X6,X7,X8,X9)
| c_TypeRel_OMethod(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_1095,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X1,X7,X8,X9)
| c_TypeRel_OMethod(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_1096,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X1,X8,X9)
| c_TypeRel_OMethod(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_1097,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X1,X9)
| c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_1098,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X9,X1)
| c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_1099,axiom,
( X1 != X2
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X4)
| c_TypeSafe__Mirabelle_Osconf(X2,X3,X4) ) ).
cnf(i_0_1100,axiom,
( X1 != X2
| ~ c_TypeSafe__Mirabelle_Osconf(X3,X1,X4)
| c_TypeSafe__Mirabelle_Osconf(X3,X2,X4) ) ).
cnf(i_0_1101,axiom,
( X1 != X2
| ~ c_TypeSafe__Mirabelle_Osconf(X3,X4,X1)
| c_TypeSafe__Mirabelle_Osconf(X3,X4,X2) ) ).
cnf(i_0_1102,axiom,
( X1 != X2
| ~ c_Objects_Ohext(X1,X3)
| c_Objects_Ohext(X2,X3) ) ).
cnf(i_0_1103,axiom,
( X1 != X2
| ~ c_Objects_Ohext(X3,X1)
| c_Objects_Ohext(X3,X2) ) ).
cnf(i_0_1104,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1105,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1106,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1107,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semidom(X2) ) ).
cnf(i_0_1108,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_1109,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1110,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_1111,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_1112,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1113,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X1,X3,X4,X5,X6)
| c_WellTypeRT_OWTrt(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1114,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X1,X4,X5,X6)
| c_WellTypeRT_OWTrt(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1115,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X4,X1,X5,X6)
| c_WellTypeRT_OWTrt(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1116,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X4,X5,X1,X6)
| c_WellTypeRT_OWTrt(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1117,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X4,X5,X6,X1)
| c_WellTypeRT_OWTrt(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1118,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).
cnf(i_0_1119,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1120,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1121,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_1122,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Oring__1(X2) ) ).
cnf(i_0_1123,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1124,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1125,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring__1(X1)
| class_Ring__and__Field_Osemiring__1(X2) ) ).
cnf(i_0_1126,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_1127,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_1128,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X1,X3,X4,X5,X6)
| c_List_Olist__all2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1129,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X1,X4,X5,X6)
| c_List_Olist__all2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1130,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X1,X5,X6)
| c_List_Olist__all2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1131,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X1,X6)
| c_List_Olist__all2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1132,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X6,X1)
| c_List_Olist__all2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1133,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_1134,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1135,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1136,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| class_Ring__and__Field_Ozero__neq__one(X2) ) ).
cnf(i_0_1137,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| class_Ring__and__Field_Ono__zero__divisors(X2) ) ).
cnf(i_0_1138,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__zero(X1)
| class_Ring__and__Field_Omult__zero(X2) ) ).
cnf(i_0_1139,axiom,
( X1 != X2
| ~ class_Power_Opower(X1)
| class_Power_Opower(X2) ) ).
cnf(i_0_1140,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1141,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ) ).
cnf(i_0_1142,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring__0(X1)
| class_Ring__and__Field_Osemiring__0(X2) ) ).
cnf(i_0_1143,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X1,X3,X4,X5,X6)
| c_WellTypeRT_OWTrts(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1144,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X1,X4,X5,X6)
| c_WellTypeRT_OWTrts(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1145,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X4,X1,X5,X6)
| c_WellTypeRT_OWTrts(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1146,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X4,X5,X1,X6)
| c_WellTypeRT_OWTrts(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1147,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X4,X5,X6,X1)
| c_WellTypeRT_OWTrts(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1148,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__mult(X1)
| class_OrderedGroup_Omonoid__mult(X2) ) ).
cnf(i_0_1149,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__add(X1)
| class_OrderedGroup_Omonoid__add(X2) ) ).
cnf(i_0_1150,axiom,
( X1 != X2
| ~ class_Int_Oring__char__0(X1)
| class_Int_Oring__char__0(X2) ) ).
cnf(i_0_1151,axiom,
( X1 != X2
| ~ class_Nat_Osemiring__char__0(X1)
| class_Nat_Osemiring__char__0(X2) ) ).
cnf(i_0_1152,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X1,X3,X4,X5,X6)
| c_Progress_OWTrt_H(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1153,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X1,X4,X5,X6)
| c_Progress_OWTrt_H(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1154,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X4,X1,X5,X6)
| c_Progress_OWTrt_H(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1155,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X4,X5,X1,X6)
| c_Progress_OWTrt_H(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1156,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X4,X5,X6,X1)
| c_Progress_OWTrt_H(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1157,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X1,X3,X4,X5,X6)
| c_Progress_OWTrts_H(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1158,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X1,X4,X5,X6)
| c_Progress_OWTrts_H(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1159,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X4,X1,X5,X6)
| c_Progress_OWTrts_H(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1160,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X4,X5,X1,X6)
| c_Progress_OWTrts_H(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1161,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X4,X5,X6,X1)
| c_Progress_OWTrts_H(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1162,axiom,
( X1 != X2
| ~ c_WellType_OWT(X1,X3,X4,X5)
| c_WellType_OWT(X2,X3,X4,X5) ) ).
cnf(i_0_1163,axiom,
( X1 != X2
| ~ c_WellType_OWT(X3,X1,X4,X5)
| c_WellType_OWT(X3,X2,X4,X5) ) ).
cnf(i_0_1164,axiom,
( X1 != X2
| ~ c_WellType_OWT(X3,X4,X1,X5)
| c_WellType_OWT(X3,X4,X2,X5) ) ).
cnf(i_0_1165,axiom,
( X1 != X2
| ~ c_WellType_OWT(X3,X4,X5,X1)
| c_WellType_OWT(X3,X4,X5,X2) ) ).
cnf(i_0_1166,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X1,X3,X4,X5)
| c_WellType_OWTs(X2,X3,X4,X5) ) ).
cnf(i_0_1167,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X3,X1,X4,X5)
| c_WellType_OWTs(X3,X2,X4,X5) ) ).
cnf(i_0_1168,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X3,X4,X1,X5)
| c_WellType_OWTs(X3,X4,X2,X5) ) ).
cnf(i_0_1169,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X3,X4,X5,X1)
| c_WellType_OWTs(X3,X4,X5,X2) ) ).
cnf(i_0_1170,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1025_001,axiom,
X1 = X1 ).
cnf(i_0_1026_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1027_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1028_004,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X1,X3,X4,X5) = c_Expr_Oexp_OCall(X2,X3,X4,X5) ) ).
cnf(i_0_1029_005,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X3,X1,X4,X5) = c_Expr_Oexp_OCall(X3,X2,X4,X5) ) ).
cnf(i_0_1030_006,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X3,X4,X1,X5) = c_Expr_Oexp_OCall(X3,X4,X2,X5) ) ).
cnf(i_0_1031_007,axiom,
( X1 != X2
| c_Expr_Oexp_OCall(X3,X4,X5,X1) = c_Expr_Oexp_OCall(X3,X4,X5,X2) ) ).
cnf(i_0_1032_008,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1033_009,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1034_010,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1035_011,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1036_012,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1037_013,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1038_014,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X1,X3) = c_Nat_Osize__class_Osize(X2,X3) ) ).
cnf(i_0_1039_015,axiom,
( X1 != X2
| c_Nat_Osize__class_Osize(X3,X1) = c_Nat_Osize__class_Osize(X3,X2) ) ).
cnf(i_0_1040_016,axiom,
( X1 != X2
| c_List_Otake(X1,X3,X4) = c_List_Otake(X2,X3,X4) ) ).
cnf(i_0_1041_017,axiom,
( X1 != X2
| c_List_Otake(X3,X1,X4) = c_List_Otake(X3,X2,X4) ) ).
cnf(i_0_1042_018,axiom,
( X1 != X2
| c_List_Otake(X3,X4,X1) = c_List_Otake(X3,X4,X2) ) ).
cnf(i_0_1043_019,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1044_020,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1045_021,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1046_022,axiom,
( X1 != X2
| c_List_Olist__update(X1,X3,X4,X5) = c_List_Olist__update(X2,X3,X4,X5) ) ).
cnf(i_0_1047_023,axiom,
( X1 != X2
| c_List_Olist__update(X3,X1,X4,X5) = c_List_Olist__update(X3,X2,X4,X5) ) ).
cnf(i_0_1048_024,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X1,X5) = c_List_Olist__update(X3,X4,X2,X5) ) ).
cnf(i_0_1049_025,axiom,
( X1 != X2
| c_List_Olist__update(X3,X4,X5,X1) = c_List_Olist__update(X3,X4,X5,X2) ) ).
cnf(i_0_1050_026,axiom,
( X1 != X2
| c_HOL_Oone__class_Oone(X1) = c_HOL_Oone__class_Oone(X2) ) ).
cnf(i_0_1051_027,axiom,
( X1 != X2
| c_List_Odrop(X1,X3,X4) = c_List_Odrop(X2,X3,X4) ) ).
cnf(i_0_1052_028,axiom,
( X1 != X2
| c_List_Odrop(X3,X1,X4) = c_List_Odrop(X3,X2,X4) ) ).
cnf(i_0_1053_029,axiom,
( X1 != X2
| c_List_Odrop(X3,X4,X1) = c_List_Odrop(X3,X4,X2) ) ).
cnf(i_0_1054_030,axiom,
( X1 != X2
| c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).
cnf(i_0_1055_031,axiom,
( X1 != X2
| c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).
cnf(i_0_1056_032,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1057_033,axiom,
( X1 != X2
| c_Expr_Oexp_OVal(X1,X3) = c_Expr_Oexp_OVal(X2,X3) ) ).
cnf(i_0_1058_034,axiom,
( X1 != X2
| c_Expr_Oexp_OVal(X3,X1) = c_Expr_Oexp_OVal(X3,X2) ) ).
cnf(i_0_1059_035,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X1,X3,X4,X5) = c_Nat_Onat_Onat__case(X2,X3,X4,X5) ) ).
cnf(i_0_1060_036,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X3,X1,X4,X5) = c_Nat_Onat_Onat__case(X3,X2,X4,X5) ) ).
cnf(i_0_1061_037,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X3,X4,X1,X5) = c_Nat_Onat_Onat__case(X3,X4,X2,X5) ) ).
cnf(i_0_1062_038,axiom,
( X1 != X2
| c_Nat_Onat_Onat__case(X3,X4,X5,X1) = c_Nat_Onat_Onat__case(X3,X4,X5,X2) ) ).
cnf(i_0_1063_039,axiom,
( X1 != X2
| c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).
cnf(i_0_1064_040,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).
cnf(i_0_1065_041,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).
cnf(i_0_1066_042,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).
cnf(i_0_1067_043,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X1,X3) = c_Int_Onumber__class_Onumber__of(X2,X3) ) ).
cnf(i_0_1068_044,axiom,
( X1 != X2
| c_Int_Onumber__class_Onumber__of(X3,X1) = c_Int_Onumber__class_Onumber__of(X3,X2) ) ).
cnf(i_0_1069_045,axiom,
( X1 != X2
| c_List_Oreplicate(X1,X3,X4) = c_List_Oreplicate(X2,X3,X4) ) ).
cnf(i_0_1070_046,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X1,X4) = c_List_Oreplicate(X3,X2,X4) ) ).
cnf(i_0_1071_047,axiom,
( X1 != X2
| c_List_Oreplicate(X3,X4,X1) = c_List_Oreplicate(X3,X4,X2) ) ).
cnf(i_0_1072_048,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X1,X3,X4) = c_Power_Opower__class_Opower(X2,X3,X4) ) ).
cnf(i_0_1073_049,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X3,X1,X4) = c_Power_Opower__class_Opower(X3,X2,X4) ) ).
cnf(i_0_1074_050,axiom,
( X1 != X2
| c_Power_Opower__class_Opower(X3,X4,X1) = c_Power_Opower__class_Opower(X3,X4,X2) ) ).
cnf(i_0_1075_051,axiom,
( X1 != X2
| c_List_Orotate(X1,X3,X4) = c_List_Orotate(X2,X3,X4) ) ).
cnf(i_0_1076_052,axiom,
( X1 != X2
| c_List_Orotate(X3,X1,X4) = c_List_Orotate(X3,X2,X4) ) ).
cnf(i_0_1077_053,axiom,
( X1 != X2
| c_List_Orotate(X3,X4,X1) = c_List_Orotate(X3,X4,X2) ) ).
cnf(i_0_1078_054,axiom,
( X1 != X2
| c_Nat_Osemiring__1__class_Oof__nat(X1,X3) = c_Nat_Osemiring__1__class_Oof__nat(X2,X3) ) ).
cnf(i_0_1079_055,axiom,
( X1 != X2
| c_Nat_Osemiring__1__class_Oof__nat(X3,X1) = c_Nat_Osemiring__1__class_Oof__nat(X3,X2) ) ).
cnf(i_0_1080_056,axiom,
( X1 != X2
| c_List_Otl(X1,X3) = c_List_Otl(X2,X3) ) ).
cnf(i_0_1081_057,axiom,
( X1 != X2
| c_List_Otl(X3,X1) = c_List_Otl(X3,X2) ) ).
cnf(i_0_1082_058,axiom,
( X1 != X2
| c_List_Orotate1(X1,X3) = c_List_Orotate1(X2,X3) ) ).
cnf(i_0_1083_059,axiom,
( X1 != X2
| c_List_Orotate1(X3,X1) = c_List_Orotate1(X3,X2) ) ).
cnf(i_0_1084_060,axiom,
( X1 != X2
| c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).
cnf(i_0_1085_061,axiom,
( X1 != X2
| c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).
cnf(i_0_1086_062,axiom,
( X1 != X2
| c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).
cnf(i_0_1087_063,axiom,
( X1 != X2
| c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).
cnf(i_0_1088_064,axiom,
( X1 != X2
| c_Type_Oty_OClass(X1) = c_Type_Oty_OClass(X2) ) ).
cnf(i_0_1089_065,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1090_066,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1091_067,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X1,X3,X4,X5,X6,X7,X8,X9)
| c_TypeRel_OMethod(X2,X3,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_1092_068,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X1,X4,X5,X6,X7,X8,X9)
| c_TypeRel_OMethod(X3,X2,X4,X5,X6,X7,X8,X9) ) ).
cnf(i_0_1093_069,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X1,X5,X6,X7,X8,X9)
| c_TypeRel_OMethod(X3,X4,X2,X5,X6,X7,X8,X9) ) ).
cnf(i_0_1094_070,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X1,X6,X7,X8,X9)
| c_TypeRel_OMethod(X3,X4,X5,X2,X6,X7,X8,X9) ) ).
cnf(i_0_1095_071,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X1,X7,X8,X9)
| c_TypeRel_OMethod(X3,X4,X5,X6,X2,X7,X8,X9) ) ).
cnf(i_0_1096_072,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X1,X8,X9)
| c_TypeRel_OMethod(X3,X4,X5,X6,X7,X2,X8,X9) ) ).
cnf(i_0_1097_073,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X1,X9)
| c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X2,X9) ) ).
cnf(i_0_1098_074,axiom,
( X1 != X2
| ~ c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X9,X1)
| c_TypeRel_OMethod(X3,X4,X5,X6,X7,X8,X9,X2) ) ).
cnf(i_0_1099_075,axiom,
( X1 != X2
| ~ c_TypeSafe__Mirabelle_Osconf(X1,X3,X4)
| c_TypeSafe__Mirabelle_Osconf(X2,X3,X4) ) ).
cnf(i_0_1100_076,axiom,
( X1 != X2
| ~ c_TypeSafe__Mirabelle_Osconf(X3,X1,X4)
| c_TypeSafe__Mirabelle_Osconf(X3,X2,X4) ) ).
cnf(i_0_1101_077,axiom,
( X1 != X2
| ~ c_TypeSafe__Mirabelle_Osconf(X3,X4,X1)
| c_TypeSafe__Mirabelle_Osconf(X3,X4,X2) ) ).
cnf(i_0_1102_078,axiom,
( X1 != X2
| ~ c_Objects_Ohext(X1,X3)
| c_Objects_Ohext(X2,X3) ) ).
cnf(i_0_1103_079,axiom,
( X1 != X2
| ~ c_Objects_Ohext(X3,X1)
| c_Objects_Ohext(X3,X2) ) ).
cnf(i_0_1104_080,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1105_081,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1106_082,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1107_083,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semidom(X2) ) ).
cnf(i_0_1108_084,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_1109_085,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1110_086,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_1111_087,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_1112_088,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1113_089,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X1,X3,X4,X5,X6)
| c_WellTypeRT_OWTrt(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1114_090,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X1,X4,X5,X6)
| c_WellTypeRT_OWTrt(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1115_091,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X4,X1,X5,X6)
| c_WellTypeRT_OWTrt(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1116_092,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X4,X5,X1,X6)
| c_WellTypeRT_OWTrt(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1117_093,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrt(X3,X4,X5,X6,X1)
| c_WellTypeRT_OWTrt(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1118_094,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).
cnf(i_0_1119_095,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1120_096,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1121_097,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_1122_098,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__1(X1)
| class_Ring__and__Field_Oring__1(X2) ) ).
cnf(i_0_1123_099,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1124_100,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1125_101,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring__1(X1)
| class_Ring__and__Field_Osemiring__1(X2) ) ).
cnf(i_0_1126_102,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_1127_103,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_1128_104,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X1,X3,X4,X5,X6)
| c_List_Olist__all2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1129_105,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X1,X4,X5,X6)
| c_List_Olist__all2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1130_106,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X1,X5,X6)
| c_List_Olist__all2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1131_107,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X1,X6)
| c_List_Olist__all2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1132_108,axiom,
( X1 != X2
| ~ c_List_Olist__all2(X3,X4,X5,X6,X1)
| c_List_Olist__all2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1133_109,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_1134_110,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1135_111,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1136_112,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ozero__neq__one(X1)
| class_Ring__and__Field_Ozero__neq__one(X2) ) ).
cnf(i_0_1137_113,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| class_Ring__and__Field_Ono__zero__divisors(X2) ) ).
cnf(i_0_1138_114,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__zero(X1)
| class_Ring__and__Field_Omult__zero(X2) ) ).
cnf(i_0_1139_115,axiom,
( X1 != X2
| ~ class_Power_Opower(X1)
| class_Power_Opower(X2) ) ).
cnf(i_0_1140_116,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1141_117,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1)
| class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ) ).
cnf(i_0_1142_118,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring__0(X1)
| class_Ring__and__Field_Osemiring__0(X2) ) ).
cnf(i_0_1143_119,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X1,X3,X4,X5,X6)
| c_WellTypeRT_OWTrts(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1144_120,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X1,X4,X5,X6)
| c_WellTypeRT_OWTrts(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1145_121,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X4,X1,X5,X6)
| c_WellTypeRT_OWTrts(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1146_122,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X4,X5,X1,X6)
| c_WellTypeRT_OWTrts(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1147_123,axiom,
( X1 != X2
| ~ c_WellTypeRT_OWTrts(X3,X4,X5,X6,X1)
| c_WellTypeRT_OWTrts(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1148_124,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__mult(X1)
| class_OrderedGroup_Omonoid__mult(X2) ) ).
cnf(i_0_1149_125,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__add(X1)
| class_OrderedGroup_Omonoid__add(X2) ) ).
cnf(i_0_1150_126,axiom,
( X1 != X2
| ~ class_Int_Oring__char__0(X1)
| class_Int_Oring__char__0(X2) ) ).
cnf(i_0_1151_127,axiom,
( X1 != X2
| ~ class_Nat_Osemiring__char__0(X1)
| class_Nat_Osemiring__char__0(X2) ) ).
cnf(i_0_1152_128,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X1,X3,X4,X5,X6)
| c_Progress_OWTrt_H(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1153_129,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X1,X4,X5,X6)
| c_Progress_OWTrt_H(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1154_130,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X4,X1,X5,X6)
| c_Progress_OWTrt_H(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1155_131,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X4,X5,X1,X6)
| c_Progress_OWTrt_H(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1156_132,axiom,
( X1 != X2
| ~ c_Progress_OWTrt_H(X3,X4,X5,X6,X1)
| c_Progress_OWTrt_H(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1157_133,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X1,X3,X4,X5,X6)
| c_Progress_OWTrts_H(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1158_134,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X1,X4,X5,X6)
| c_Progress_OWTrts_H(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1159_135,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X4,X1,X5,X6)
| c_Progress_OWTrts_H(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1160_136,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X4,X5,X1,X6)
| c_Progress_OWTrts_H(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1161_137,axiom,
( X1 != X2
| ~ c_Progress_OWTrts_H(X3,X4,X5,X6,X1)
| c_Progress_OWTrts_H(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1162_138,axiom,
( X1 != X2
| ~ c_WellType_OWT(X1,X3,X4,X5)
| c_WellType_OWT(X2,X3,X4,X5) ) ).
cnf(i_0_1163_139,axiom,
( X1 != X2
| ~ c_WellType_OWT(X3,X1,X4,X5)
| c_WellType_OWT(X3,X2,X4,X5) ) ).
cnf(i_0_1164_140,axiom,
( X1 != X2
| ~ c_WellType_OWT(X3,X4,X1,X5)
| c_WellType_OWT(X3,X4,X2,X5) ) ).
cnf(i_0_1165_141,axiom,
( X1 != X2
| ~ c_WellType_OWT(X3,X4,X5,X1)
| c_WellType_OWT(X3,X4,X5,X2) ) ).
cnf(i_0_1166_142,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X1,X3,X4,X5)
| c_WellType_OWTs(X2,X3,X4,X5) ) ).
cnf(i_0_1167_143,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X3,X1,X4,X5)
| c_WellType_OWTs(X3,X2,X4,X5) ) ).
cnf(i_0_1168_144,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X3,X4,X1,X5)
| c_WellType_OWTs(X3,X4,X2,X5) ) ).
cnf(i_0_1169_145,axiom,
( X1 != X2
| ~ c_WellType_OWTs(X3,X4,X5,X1)
| c_WellType_OWTs(X3,X4,X5,X2) ) ).
cnf(i_0_1170_146,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1171,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,[],[569]) ).
cnf(i_0_1172,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,[],[570]) ).
cnf(i_0_1173,plain,
X1 = X1,
inference(equality_inference,[],[636]) ).
cnf(i_0_1174,plain,
X1 = X1,
inference(equality_inference,[],[637]) ).
cnf(i_0_1175,plain,
X1 = X1,
inference(equality_inference,[],[638]) ).
cnf(i_0_1176,plain,
X1 = X1,
inference(equality_inference,[],[639]) ).
cnf(i_0_1177,plain,
X1 = X1,
inference(equality_inference,[],[640]) ).
cnf(i_0_1178,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,[],[648]) ).
cnf(i_0_1179,plain,
X1 = X1,
inference(equality_inference,[],[651]) ).
cnf(i_0_1180,plain,
X1 = X1,
inference(equality_inference,[],[652]) ).
cnf(i_0_1181,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,[],[655]) ).
cnf(i_0_1182,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,[],[670]) ).
cnf(i_0_1183,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X2,X3,X1) ),
inference(equality_inference,[],[689]) ).
cnf(i_0_1184,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,[],[696]) ).
cnf(i_0_1185,plain,
( X1 = X1
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(equality_inference,[],[714]) ).
cnf(i_0_1186,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[808]) ).
cnf(i_0_1187,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[815]) ).
cnf(i_0_1188,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[816]) ).
cnf(i_0_1189,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[817]) ).
cnf(i_0_1190,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[818]) ).
cnf(i_0_1191,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
inference(equality_inference,[],[819]) ).
cnf(i_0_1192,plain,
( X1 = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(equality_inference,[],[822]) ).
cnf(i_0_1193,plain,
X1 = X1,
inference(equality_inference,[],[825]) ).
cnf(i_0_1194,plain,
X1 = X1,
inference(equality_inference,[],[826]) ).
cnf(i_0_1195,plain,
X1 = X1,
inference(equality_inference,[],[827]) ).
cnf(i_0_1196,plain,
X1 = X1,
inference(equality_inference,[],[828]) ).
cnf(i_0_1197,plain,
X1 = X1,
inference(equality_inference,[],[829]) ).
cnf(i_0_1198,plain,
X1 = X1,
inference(equality_inference,[],[834]) ).
cnf(i_0_1199,plain,
X1 = X1,
inference(equality_inference,[],[836]) ).
cnf(i_0_1200,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| ~ class_Int_Oring__char__0(X1) ),
inference(equality_inference,[],[935]) ).
cnf(i_0_1201,plain,
( X1 = X1
| ~ class_Nat_Osemiring__char__0(X2) ),
inference(equality_inference,[],[946]) ).
cnf(i_0_1202,plain,
X1 = X1,
inference(equality_inference,[],[949]) ).
cnf(i_0_1203,plain,
X1 = X1,
inference(equality_inference,[],[950]) ).
cnf(i_0_1204,plain,
X1 = X1,
inference(equality_inference,[],[969]) ).
cnf(i_0_1205,plain,
( ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_es_Ha____,X1)
| ~ c_List_Olist__all2(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X1,v_Us____,tc_Type_Oty,tc_Type_Oty) ),
inference(scs_inference,[],[i_0_1024,i_0_564]) ).
cnf(i_0_1206,plain,
c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),c_List_Osko__List__Xlist__all2__append2__1__1(c_TypeRel_Owiden(X1,X2),c_List_Oappend(X3,X4,tc_Type_Oty),X3,X4,tc_Type_Oty,tc_Type_Oty),X3,tc_Type_Oty,tc_Type_Oty),
inference(scs_inference,[],[i_0_620,i_0_533]) ).
cnf(i_0_1207,plain,
c_List_Olist__all2(c_TypeRel_Owiden(X1,X2),X3,X3,tc_Type_Oty,tc_Type_Oty),
inference(rename_variables,[],[i_0_620]) ).
cnf(i_0_1208,plain,
( ~ c_List_Olist__all2(X1,X2,c_List_Oappend(X3,X4,X5),X6,X5)
| c_List_Olist__all2(X1,c_List_Osko__List__Xlist__all2__append2__1__1(X1,X2,X3,X4,X6,X5),X3,X6,X5) ),
inference(rename_variables,[],[i_0_533]) ).
cnf(i_0_1209,plain,
$false,
inference(scs_inference,[],[i_0_620,i_0_567,i_0_565,i_0_533,i_0_1205]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWV972-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 01:12:56 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.23/1.51 % Version : CSE_E---1.7
% 0.23/1.51 % Problem : theBenchmark.p
% 0.23/1.51 % SZS status Unsatisfiable for theBenchmark.p
% 0.23/1.51 % SZS output start CNFRefutation
% See solution above
% 0.23/1.55 % Total time : 1.263s
%------------------------------------------------------------------------------