%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV824-1 : 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 : n026.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 05:27:29 PM UTC 2026
% Result : Unsatisfiable 1.97s 1.67s
% Output : CNFRefutation 13.82s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 735)
% Comments :
%------------------------------------------------------------------------------
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_evaln__max2_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)
| ~ c_Natural_Oevaln(X3,X4,X7,X6)
| ~ c_Natural_Oevaln(X1,X2,X8,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__max2_0) ).
cnf(cls_evaln__max2_1,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)
| ~ c_Natural_Oevaln(X1,X2,X7,X6)
| ~ c_Natural_Oevaln(X3,X4,X8,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__max2_1) ).
cnf(cls_nat__less__add__iff1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__add__iff1_1) ).
cnf(cls_nat__le__add__iff1_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__add__iff1_1) ).
cnf(cls_nat__less__add__iff2_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__add__iff2_1) ).
cnf(cls_nat__le__add__iff2_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__add__iff2_1) ).
cnf(cls_less__add__iff1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff1_1) ).
cnf(cls_le__add__iff1_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff1_1) ).
cnf(cls_less__add__iff2_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff2_1) ).
cnf(cls_le__add__iff2_1,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff2_1) ).
cnf(cls_nat__less__add__iff1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__add__iff1_0) ).
cnf(cls_nat__le__add__iff1_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__add__iff1_0) ).
cnf(cls_nat__less__add__iff2_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__add__iff2_0) ).
cnf(cls_nat__le__add__iff2_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__add__iff2_0) ).
cnf(cls_less__add__iff1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff1_0) ).
cnf(cls_le__add__iff1_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff1_0) ).
cnf(cls_less__add__iff2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__iff2_0) ).
cnf(cls_le__add__iff2_0,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add__iff2_0) ).
cnf(cls_nat__diff__add__eq1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__diff__add__eq1_0) ).
cnf(cls_nat__diff__add__eq2_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__diff__add__eq2_0) ).
cnf(cls_nat__eq__add__iff2_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__eq__add__iff2_1) ).
cnf(cls_nat__eq__add__iff1_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__eq__add__iff1_1) ).
cnf(cls_sum__squares__gt__zero__iff_0,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_0) ).
cnf(cls_eq__add__iff2_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff2_1) ).
cnf(cls_eq__add__iff1_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff1_1) ).
cnf(cls_mod__lemma_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__lemma_0) ).
cnf(cls_evaln_OSemi_0,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
| ~ c_Natural_Oevaln(X2,X6,X4,X5)
| ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).
cnf(cls_sum__squares__le__zero__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_0) ).
cnf(cls_sum__squares__le__zero__iff_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_1) ).
cnf(cls_not__sum__squares__lt__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__sum__squares__lt__zero_0) ).
cnf(cls_nat__eq__add__iff1_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat) = X5
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__eq__add__iff1_0) ).
cnf(cls_nat__eq__add__iff2_0,axiom,
( X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__eq__add__iff2_0) ).
cnf(cls_min__max_Odistrib__inf__le_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),c_Orderings_Oord__class_Omin(X2,X4,X1),X1),c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Odistrib__inf__le_0) ).
cnf(cls_min__max_Odistrib__sup__le_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Odistrib__sup__le_0) ).
cnf(cls_evaln__elim__cases_I6_J_0,axiom,
( X1 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X2,X1,X3,X4))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X2),X3,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I6_J_0) ).
cnf(cls_eq__add__iff1_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1) = X6
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff1_0) ).
cnf(cls_eq__add__iff2_0,axiom,
( X4 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1)
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__add__iff2_0) ).
cnf(cls_combine__common__factor_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1),X5,X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_combine__common__factor_0) ).
cnf(cls_class__ringb_Onoteq__reduce_0,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_0) ).
cnf(cls_class__ringb_Oadd__mul__solve_0,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_0) ).
cnf(cls_left__add__mult__distrib_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_left__add__mult__distrib_0) ).
cnf(cls_natgb_Oadd__mul__solve_0,axiom,
( X2 = X4
| X1 = X3
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__mul__solve_0) ).
cnf(cls_natgb_Onoteq__reduce_0,axiom,
( X2 = X4
| X1 = X3
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Onoteq__reduce_0) ).
cnf(cls_mod__add__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__eq_0) ).
cnf(cls_mod__mult__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__eq_0) ).
cnf(cls_mod__diff__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__eq_0) ).
cnf(cls_mod__mult__self4_0,axiom,
c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(X3),X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self4_0) ).
cnf(cls_evaln__nonstrict_0,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_lessequals(X5,X3,tc_nat)
| ~ c_Natural_Oevaln(X1,X2,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__nonstrict_0) ).
cnf(cls_sum__squares__le__zero__iff_2,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__le__zero__iff_2) ).
cnf(cls_mod__add__cong_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__cong_0) ).
cnf(cls_mod__mult__cong_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X6,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__cong_0) ).
cnf(cls_mod__diff__cong_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)
| ~ class_Divides_Oring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__cong_0) ).
cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I15_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I14_J_0) ).
cnf(cls_evaln__Suc_0,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__Suc_0) ).
cnf(cls_mult__strict__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__mono_0) ).
cnf(cls_mult__strict__mono_H_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__mono_H_0) ).
cnf(cls_mult__le__less__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__less__imp__less_0) ).
cnf(cls_mult__less__le__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__le__imp__less_0) ).
cnf(cls_mult__mono_H_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono_H_0) ).
cnf(cls_mult__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono_0) ).
cnf(cls_less__diff__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(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_less__diff__iff_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_sum__squares__gt__zero__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_1) ).
cnf(cls_sum__squares__gt__zero__iff_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__gt__zero__iff_2) ).
cnf(cls_sum__squares__ge__zero_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__ge__zero_0) ).
cnf(cls_nat__mod__eq__iff_1,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(X4,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X2,X5,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mod__eq__iff_1) ).
cnf(cls_mult__right__less__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__less__imp__less_0) ).
cnf(cls_mult__left__less__imp__less_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__less__imp__less_0) ).
cnf(cls_mult__less__imp__less__right_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__imp__less__right_0) ).
cnf(cls_mult__less__imp__less__left_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__imp__less__left_0) ).
cnf(cls_mult__less__cancel__left__pos_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__pos_0) ).
cnf(cls_mult__right__le__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__le__imp__le_0) ).
cnf(cls_mult__left__le__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__le__imp__le_0) ).
cnf(cls_mult__le__cancel__left__pos_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__pos_0) ).
cnf(cls_mult__less__cancel__left__neg_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__neg_0) ).
cnf(cls_mult__le__cancel__left__neg_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__neg_0) ).
cnf(cls_nat__mult__less__cancel1_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__less__cancel1_0) ).
cnf(cls_mult__le__cancel2_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel2_0) ).
cnf(cls_nat__mult__le__cancel1_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__le__cancel1_0) ).
cnf(cls_mult__le__cancel1_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel1_0) ).
cnf(cls_mult__less__cancel__left__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_0) ).
cnf(cls_mult__less__cancel__right__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_0) ).
cnf(cls_class__ringb_Oadd__mul__solve_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__mul__solve_1) ).
cnf(cls_class__ringb_Onoteq__reduce_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Onoteq__reduce_1) ).
cnf(cls_mult__less__cancel__right__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_1) ).
cnf(cls_mult__less__cancel__left__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_1) ).
cnf(cls_mult__less__cancel__left__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_2) ).
cnf(cls_mult__less__cancel__right__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_2) ).
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_class__semiring_Osemiring__rules_I13_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I13_J_0) ).
cnf(cls_zmod__simps_I1_J_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I1_J_0) ).
cnf(cls_zmod__simps_I4_J_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I4_J_0) ).
cnf(cls_zmod__simps_I2_J_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zmod__simps_I2_J_0) ).
cnf(cls_mod__add__left__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__left__eq_0) ).
cnf(cls_mod__mult__left__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__left__eq_0) ).
cnf(cls_mod__diff__left__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__left__eq_0) ).
cnf(cls_mod__add__right__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__right__eq_0) ).
cnf(cls_mod__mult__right__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__right__eq_0) ).
cnf(cls_mod__diff__right__eq_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__diff__right__eq_0) ).
cnf(cls_mult__less__cancel__right__disj_3,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_3) ).
cnf(cls_mult__less__cancel__left__disj_3,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_3) ).
cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom,
( X4 = X5
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X5,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__ringb_Oadd__scale__eq__noteq_0) ).
cnf(cls_natgb_Onoteq__reduce_1,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Onoteq__reduce_1) ).
cnf(cls_natgb_Oadd__mul__solve_1,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__mul__solve_1) ).
cnf(cls_diff__Suc__diff__eq2_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__diff__eq2_0) ).
cnf(cls_diff__Suc__diff__eq1_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_Suc(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),c_Suc(X2),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__diff__eq1_0) ).
cnf(cls_less__diff__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__diff__iff_1) ).
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_Suc__mult__less__cancel1_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__less__cancel1_0) ).
cnf(cls_Suc__mult__le__cancel1_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__le__cancel1_0) ).
cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom,
( X3 = X4
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__scale__eq__noteq_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_add__less__cancel__right_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(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__less__cancel__right_0) ).
cnf(cls_add__less__cancel__left_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(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__less__cancel__left_0) ).
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_mult__less__cancel1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel1_0) ).
cnf(cls_mult__less__cancel2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel2_0) ).
cnf(cls_nat__add__left__cancel__less_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(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__less_0) ).
cnf(cls_mult__less__cancel2_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel2_1) ).
cnf(cls_mult__less__cancel1_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel1_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_mult__strict__left__mono__comm_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono__comm_0) ).
cnf(cls_mult__strict__left__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono_0) ).
cnf(cls_mult__less__cancel__left__disj_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_4) ).
cnf(cls_mult__less__cancel__left__pos_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__pos_1) ).
cnf(cls_mult__strict__right__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__right__mono_0) ).
cnf(cls_mult__less__cancel__right__disj_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_4) ).
cnf(cls_mult__mono1_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__mono1_0) ).
cnf(cls_mult__left__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__mono_0) ).
cnf(cls_mult__le__cancel__left__pos_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__pos_1) ).
cnf(cls_mult__right__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__mono_0) ).
cnf(cls_mult__less__cancel__left__disj_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__disj_5) ).
cnf(cls_mult__strict__left__mono__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__left__mono__neg_0) ).
cnf(cls_mult__less__cancel__left__neg_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__left__neg_1) ).
cnf(cls_mult__less__cancel__right__disj_5,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel__right__disj_5) ).
cnf(cls_mult__strict__right__mono__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__strict__right__mono__neg_0) ).
cnf(cls_mult__left__mono__neg_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__mono__neg_0) ).
cnf(cls_mult__le__cancel__left__neg_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel__left__neg_1) ).
cnf(cls_mult__right__mono__neg_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__right__mono__neg_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__strict__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__mono_0) ).
cnf(cls_add__le__less__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__le__less__mono_0) ).
cnf(cls_add__less__le__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__le__mono_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_eval__eq_1,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__eq_1) ).
cnf(cls_evaln__evalc_0,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).
cnf(cls_sum__squares__eq__zero__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_0) ).
cnf(cls_sum__squares__eq__zero__iff_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_1) ).
cnf(cls_mod__mult__mult2_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__mult2_0) ).
cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(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_I1_J_0) ).
cnf(cls_mod__mult__mult1_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__mult1_0) ).
cnf(cls_min__max_Oinf__sup__distrib2_0,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X4,X1),c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib2_0) ).
cnf(cls_min__max_Osup__inf__distrib2_0,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X4,X1),c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib2_0) ).
cnf(cls_min__add__distrib__left_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__add__distrib__left_0) ).
cnf(cls_max__add__distrib__left_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__add__distrib__left_0) ).
cnf(cls_comm__semiring__class_Odistrib_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__semiring__class_Odistrib_0) ).
cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I8_J_0) ).
cnf(cls_min__diff__distrib__left_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__diff__distrib__left_0) ).
cnf(cls_max__diff__distrib__left_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__diff__distrib__left_0) ).
cnf(cls_min__max_Oinf__sup__distrib1_0,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),c_Orderings_Oord__class_Omin(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__distrib1_0) ).
cnf(cls_min__max_Osup__inf__distrib1_0,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__inf__distrib1_0) ).
cnf(cls_class__semiring_Omul__d_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__d_0) ).
cnf(cls_mod__mult__self2_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self2_0) ).
cnf(cls_mod__mult__self1_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X4,X1) = c_Divides_Odiv__class_Omod(X2,X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self1_0) ).
cnf(cls_nat__mult__less__cancel1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__less__cancel1_1) ).
cnf(cls_mult__less__mono2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__mono2_0) ).
cnf(cls_mult__less__cancel1_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel1_2) ).
cnf(cls_mult__less__mono1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__mono1_0) ).
cnf(cls_mult__less__cancel2_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__less__cancel2_2) ).
cnf(cls_nat__mult__le__cancel1_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__le__cancel1_1) ).
cnf(cls_conjecture_3,negated_conjecture,
( v_fun2(X1,X2)
| ~ c_Natural_Oevaln(v_com,X3,c_Suc(v_n),X2)
| ~ v_fun1(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_add__less__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__mono_0) ).
cnf(cls_diff__less__mono2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__less__mono2_0) ).
cnf(cls_diff__less__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__less__mono_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_mult__le__mono_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(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_mult__le__mono_0) ).
cnf(cls_zero__less__mult__pos2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__mult__pos2_0) ).
cnf(cls_zero__less__mult__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__mult__pos_0) ).
cnf(cls_min__diff_0,axiom,
c_Orderings_Oord__class_Omin(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(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__diff_0) ).
cnf(cls_mod__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__distrib_0) ).
cnf(cls_add__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib_0) ).
cnf(cls_diff__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__mult__distrib_0) ).
cnf(cls_mod__mult__distrib2_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__distrib2_0) ).
cnf(cls_add__mult__distrib2_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__mult__distrib2_0) ).
cnf(cls_diff__mult__distrib2_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__mult__distrib2_0) ).
cnf(cls_mod__mult__self3_0,axiom,
c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X3,X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self3_0) ).
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_less__diff__conv_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__diff__conv_0) ).
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_less__diff__conv_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__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_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__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_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_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_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_mult__le__0__iff_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_1) ).
cnf(cls_mult__le__0__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_0) ).
cnf(cls_mult__le__0__iff_3,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_3) ).
cnf(cls_zero__le__mult__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_0) ).
cnf(cls_zero__le__mult__iff_3,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_3) ).
cnf(cls_zero__le__mult__iff_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_2) ).
cnf(cls_zero__le__mult__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__mult__iff_1) ).
cnf(cls_mult__le__0__iff_2,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_2) ).
cnf(cls_evaln__elim__cases_I1_J_0,axiom,
( X1 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).
cnf(cls_one__less__mult_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__less__mult_0) ).
cnf(cls_one__le__mult__iff_2,axiom,
( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__le__mult__iff_2) ).
cnf(cls_min__less__iff__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_0) ).
cnf(cls_min__le__iff__disj_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_0) ).
cnf(cls_less__max__iff__disj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__max__iff__disj_0) ).
cnf(cls_le__max__iff__disj_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__max__iff__disj_0) ).
cnf(cls_Suc__mult__less__cancel1_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__less__cancel1_1) ).
cnf(cls_Suc__mult__le__cancel1_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__le__cancel1_1) ).
cnf(cls_mult__neg__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__neg__pos_0) ).
cnf(cls_mult__pos__neg2_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__neg2_0) ).
cnf(cls_mult__pos__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__neg_0) ).
cnf(cls_mult__nonneg__nonpos2_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonpos2_0) ).
cnf(cls_mult__nonpos__nonneg_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonpos__nonneg_0) ).
cnf(cls_split__mult__neg__le_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__neg__le_1) ).
cnf(cls_mult__nonneg__nonpos_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__nonneg__nonpos_0) ).
cnf(cls_split__mult__neg__le_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_split__mult__neg__le_0) ).
cnf(cls_mult__le__0__iff_5,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_5) ).
cnf(cls_mult__le__0__iff_4,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__0__iff_4) ).
cnf(cls_add__neg__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__neg_0) ).
cnf(cls_add__nonpos__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(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__neg_0) ).
cnf(cls_add__neg__nonpos_0,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__neg__nonpos_0) ).
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__pos__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__pos_0) ).
cnf(cls_add__nonneg__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(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__pos_0) ).
cnf(cls_add__pos__nonneg_0,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__pos__nonneg_0) ).
cnf(cls_mult__pos__pos_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__pos__pos_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_mult__nonneg__nonneg_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(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_mult__nonneg__nonneg_0) ).
cnf(cls_split__mult__pos__le_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(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_split__mult__pos__le_0) ).
cnf(cls_zero__le__mult__iff_4,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(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_zero__le__mult__iff_4) ).
cnf(cls_mult__neg__neg_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__neg__neg_0) ).
cnf(cls_split__mult__pos__le_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(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_split__mult__pos__le_1) ).
cnf(cls_mult__nonpos__nonpos_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(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_mult__nonpos__nonpos_0) ).
cnf(cls_zero__le__mult__iff_5,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(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_zero__le__mult__iff_5) ).
cnf(cls_add__gr__0_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_0) ).
cnf(cls_le__cube_0,axiom,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__cube_0) ).
cnf(cls_n__less__n__mult__m_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__less__n__mult__m_0) ).
cnf(cls_n__less__m__mult__n_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__less__m__mult__n_0) ).
cnf(cls_add__strict__left__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__left__mono_0) ).
cnf(cls_add__less__cancel__left_1,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__left_1) ).
cnf(cls_add__strict__right__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__right__mono_0) ).
cnf(cls_add__less__cancel__right_1,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__cancel__right_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__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__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__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__strict__increasing2_0,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing2_0) ).
cnf(cls_add__strict__increasing_0,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__strict__increasing_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_pos__add__strict_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pos__add__strict_0) ).
cnf(cls_nat__add__left__cancel__less_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__left__cancel__less_1) ).
cnf(cls_add__less__mono1_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__less__mono1_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_mult__le__cancel1_2,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel1_2) ).
cnf(cls_mult__le__mono2_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__mono2_0) ).
cnf(cls_mult__le__cancel2_2,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel2_2) ).
cnf(cls_mult__le__mono1_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__mono1_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_max__less__iff__conj_2,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__less__iff__conj_2) ).
cnf(cls_min__max_Ole__sup__iff_2,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_2) ).
cnf(cls_min__max_Osup__least_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__least_0) ).
cnf(cls_min__max_Ole__supI_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supI_0) ).
cnf(cls_min__less__iff__conj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_2) ).
cnf(cls_min__max_Oinf__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__greatest_0) ).
cnf(cls_min__max_Ole__inf__iff_2,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_2) ).
cnf(cls_min__max_Ole__infI_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI_0) ).
cnf(cls_nat__0__less__mult__iff_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__0__less__mult__iff_2) ).
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_diff__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__less_0) ).
cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_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_even__less__0__iff_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_0) ).
cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(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__less__zero__iff__single__less__zero_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_Suc__diff__diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__diff_0) ).
cnf(cls_one__le__mult__iff_0,axiom,
( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__le__mult__iff_0) ).
cnf(cls_one__le__mult__iff_1,axiom,
( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__le__mult__iff_1) ).
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_class__semiring_Osemiring__rules_I16_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(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_I16_J_0) ).
cnf(cls_min__max_Oinf__assoc_0,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__assoc_0) ).
cnf(cls_min__max_Osup__assoc_0,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__assoc_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_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).
cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I17_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_class__semiring_Omul__a_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__a_0) ).
cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(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_I18_J_0) ).
cnf(cls_min__max_Oinf__left__commute_0,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) = c_Orderings_Oord__class_Omin(X3,c_Orderings_Oord__class_Omin(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__left__commute_0) ).
cnf(cls_min__max_Osup__left__commute_0,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__left__commute_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_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_class__semiring_Osemiring__rules_I19_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I19_J_0) ).
cnf(cls_sum__squares__eq__zero__iff_2,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sum__squares__eq__zero__iff_2) ).
cnf(cls_less__iff__diff__less__0_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_1) ).
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_mod__Suc__eq__Suc__mod_0,axiom,
c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__Suc__eq__Suc__mod_0) ).
cnf(cls_less__eqI_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,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_HOL_Oord__class_Oless(X4,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_1) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,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_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eqI_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_mult__le__cancel1_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel1_1) ).
cnf(cls_mult__le__cancel2_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__le__cancel2_1) ).
cnf(cls_max__less__iff__conj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__less__iff__conj_0) ).
cnf(cls_max__less__iff__conj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__less__iff__conj_1) ).
cnf(cls_min__max_Ole__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supE_0) ).
cnf(cls_min__max_Ole__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_0) ).
cnf(cls_min__max_Ole__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supE_1) ).
cnf(cls_min__max_Ole__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__sup__iff_1) ).
cnf(cls_min__less__iff__conj_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_0) ).
cnf(cls_min__less__iff__conj_1,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__conj_1) ).
cnf(cls_min__max_Ole__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infE_0) ).
cnf(cls_min__max_Ole__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_0) ).
cnf(cls_min__max_Ole__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infE_1) ).
cnf(cls_min__max_Ole__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__inf__iff_1) ).
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_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__mult__assoc_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__assoc_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__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_nat__0__less__mult__iff_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__0__less__mult__iff_0) ).
cnf(cls_nat__0__less__mult__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__0__less__mult__iff_1) ).
cnf(cls_zero__less__diff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__diff_0) ).
cnf(cls_less__add__eq__less_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__eq__less_0) ).
cnf(cls_add__lessD1_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__lessD1_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_le__mod__geq_0,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__mod__geq_0) ).
cnf(cls_mod__Suc_1,axiom,
( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))
| c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__Suc_1) ).
cnf(cls_not__square__less__zero_0,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__square__less__zero_0) ).
cnf(cls_even__less__0__iff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_even__less__0__iff_1) ).
cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__add__less__zero__iff__single__less__zero_1) ).
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_zero__less__double__add__iff__zero__less__single__add_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__double__add__iff__zero__less__single__add_1) ).
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_less__add__Suc1_0,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc1_0) ).
cnf(cls_less__iff__Suc__add_1,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__Suc__add_1) ).
cnf(cls_less__add__Suc2_0,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc2_0) ).
cnf(cls_mod__if_1,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__if_1) ).
cnf(cls_less__iff__diff__less__0_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__iff__diff__less__0_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_diff__Suc__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__less_0) ).
cnf(cls_nat__mult__eq__cancel1_0,axiom,
( X2 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__eq__cancel1_0) ).
cnf(cls_min__less__iff__disj_1,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_1) ).
cnf(cls_min__max_Oless__infI1_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__infI1_0) ).
cnf(cls_min__less__iff__disj_2,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__less__iff__disj_2) ).
cnf(cls_min__max_Oless__infI2_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__infI2_0) ).
cnf(cls_min__max_Ole__infI1_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI1_0) ).
cnf(cls_min__le__iff__disj_1,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_1) ).
cnf(cls_min__max_Ole__infI2_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__infI2_0) ).
cnf(cls_min__le__iff__disj_2,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__le__iff__disj_2) ).
cnf(cls_less__max__iff__disj_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__max__iff__disj_1) ).
cnf(cls_min__max_Oless__supI1_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__supI1_0) ).
cnf(cls_less__max__iff__disj_2,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__max__iff__disj_2) ).
cnf(cls_min__max_Oless__supI2_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oless__supI2_0) ).
cnf(cls_min__max_Ole__supI1_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supI1_0) ).
cnf(cls_le__max__iff__disj_1,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__max__iff__disj_1) ).
cnf(cls_min__max_Ole__supI2_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__supI2_0) ).
cnf(cls_le__max__iff__disj_2,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__max__iff__disj_2) ).
cnf(cls_evalc_OSemi_0,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
| ~ c_Natural_Oevalc(X2,X5,X4)
| ~ c_Natural_Oevalc(X1,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).
cnf(cls_Suc__diff__le_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__diff__le_0) ).
cnf(cls_add__gr__0_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_1) ).
cnf(cls_add__gr__0_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__gr__0_2) ).
cnf(cls_not__add__less1_0,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less1_0) ).
cnf(cls_not__add__less2_0,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__add__less2_0) ).
cnf(cls_evaln_OSkip_0,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).
cnf(cls_mod__less__divisor_0,axiom,
( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__less__divisor_0) ).
cnf(cls_mod__le__divisor_0,axiom,
( c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__le__divisor_0) ).
cnf(cls_zero__less__diff_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__diff_1) ).
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_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_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__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_conjecture_1,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_less__imp__diff__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).
cnf(cls_termination__basic__simps_I1_J_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I1_J_0) ).
cnf(cls_trans__less__add1_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__less__add1_0) ).
cnf(cls_termination__basic__simps_I2_J_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I2_J_0) ).
cnf(cls_trans__less__add2_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__less__add2_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_I10_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I10_J_0) ).
cnf(cls_xt1_I7_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I7_J_0) ).
cnf(cls_xt1_I8_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I8_J_0) ).
cnf(cls_order__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__trans_0) ).
cnf(cls_order__le__less__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less__trans_0) ).
cnf(cls_order__less__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le__trans_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/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_mod__Suc_0,axiom,
( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__Suc_0) ).
cnf(cls_less__trans__Suc_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__trans__Suc_0) ).
cnf(cls_mod__mod__trivial_0,axiom,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mod__trivial_0) ).
cnf(cls_mod__add__self1_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1) = c_Divides_Odiv__class_Omod(X3,X2,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__self1_0) ).
cnf(cls_mod__add__self2_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__add__self2_0) ).
cnf(cls_min__max_Oinf__left__idem_0,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1) = c_Orderings_Oord__class_Omin(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__left__idem_0) ).
cnf(cls_min__max_Osup__left__idem_0,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__left__idem_0) ).
cnf(cls_mult__left__idem_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__left__idem_0) ).
cnf(cls_Suc__pred_0,axiom,
( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__pred_0) ).
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_mult__Suc_0,axiom,
c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc_0) ).
cnf(cls_mult__Suc__right_0,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__Suc__right_0) ).
cnf(cls_add__diff__inverse_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__diff__inverse_0) ).
cnf(cls_nat__minus__add__max_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = c_Orderings_Oord__class_Omax(X1,X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__minus__add__max_0) ).
cnf(cls_less__le__not__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_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_Suc__mult__cancel1_0,axiom,
( X2 = X3
| c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mult__cancel1_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_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__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_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_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_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_xt1_I9_J_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I9_J_0) ).
cnf(cls_order__less__asym_H_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_H_0) ).
cnf(cls_order__less__asym_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__asym_0) ).
cnf(cls_less__le__not__le_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
cnf(cls_not__less__iff__gr__or__eq_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_1) ).
cnf(cls_linorder__antisym__conv2_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_1) ).
cnf(cls_linorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).
cnf(cls_linorder__not__less_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_1) ).
cnf(cls_le__less__Suc__eq_0,axiom,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__less__Suc__eq_0) ).
cnf(cls_not__less__eq__eq_1,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_1) ).
cnf(cls_not__less__eq_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_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_zero__le__square_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__le__square_0) ).
cnf(cls_com__det_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com__det_0) ).
cnf(cls_min__Suc__Suc_0,axiom,
c_Orderings_Oord__class_Omin(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(X1,X2,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__Suc__Suc_0) ).
cnf(cls_max__Suc__Suc_0,axiom,
c_Orderings_Oord__class_Omax(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__Suc__Suc_0) ).
cnf(cls_mult__cancel2_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X3,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__cancel2_0) ).
cnf(cls_mult__cancel1_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__cancel1_0) ).
cnf(cls_nat__mult__eq__cancel__disj_0,axiom,
( X2 = X3
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__eq__cancel__disj_0) ).
cnf(cls_mod__mult__self1__is__0_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self1__is__0_0) ).
cnf(cls_mod__mult__self2__is__0_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__mult__self2__is__0_0) ).
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_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_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_min__max_Oinf__sup__absorb_0,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__sup__absorb_0) ).
cnf(cls_min__max_Osup__inf__absorb_0,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__inf__absorb_0) ).
cnf(cls_min__max_Oinf__le1_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__le1_0) ).
cnf(cls_min__max_Oinf__le2_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__le2_0) ).
cnf(cls_le__maxI1_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__maxI1_0) ).
cnf(cls_le__maxI2_0,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X2,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__maxI2_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_add__Suc_0,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc_0) ).
cnf(cls_add__Suc__right_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(cls_diff__less__Suc_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__less__Suc_0) ).
cnf(cls_mod__eq__0__iff_1,axiom,
c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__eq__0__iff_1) ).
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_mod__less__eq__dividend_0,axiom,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__less__eq__dividend_0) ).
cnf(cls_diff__le__self_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
file('/export/starexec/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_le__square_0,axiom,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__square_0) ).
cnf(cls_Suc__less__eq_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__less__eq_0) ).
cnf(cls_Suc__le__mono_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__le__mono_0) ).
cnf(cls_le__SucE_0,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__SucE_0) ).
cnf(cls_order__neq__le__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__neq__le__trans_0) ).
cnf(cls_order__le__neq__trans_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__neq__trans_0) ).
cnf(cls_order__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_2) ).
cnf(cls_order__le__less_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_0) ).
cnf(cls_xt1_I12_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I12_J_0) ).
cnf(cls_xt1_I11_J_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I11_J_0) ).
cnf(cls_linorder__antisym__conv2_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv2_0) ).
cnf(cls_linorder__antisym__conv1_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_0) ).
cnf(cls_min__max_Ole__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Omin(X2,X3,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_1) ).
cnf(cls_min__max_Ole__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Omax(X2,X3,X1) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_1) ).
cnf(cls_Suc__mono_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__mono_0) ).
cnf(cls_less__Suc__eq__0__disj_3,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq__0__disj_3) ).
cnf(cls_Suc__le__mono_1,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__le__mono_1) ).
cnf(cls_min__max_Ole__iff__inf_0,axiom,
( c_Orderings_Oord__class_Omin(X2,X3,X1) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__inf_0) ).
cnf(cls_min__max_Oinf__absorb2_0,axiom,
( c_Orderings_Oord__class_Omin(X2,X3,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__absorb2_0) ).
cnf(cls_min__max_Osup__absorb1_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__absorb1_0) ).
cnf(cls_min__max_Ole__iff__sup_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Ole__iff__sup_0) ).
cnf(cls_less__SucE_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__SucE_0) ).
cnf(cls_not__less__less__Suc__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__less__Suc__eq_0) ).
cnf(cls_less__antisym_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__antisym_0) ).
cnf(cls_Suc__lessI_0,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_Suc(X1) = X2
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__lessI_0) ).
cnf(cls_order__le__less_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__le__less_1) ).
cnf(cls_order__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__imp__le_0) ).
cnf(cls_Suc__lessD_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__lessD_0) ).
cnf(cls_Suc__le__eq_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__le__eq_0) ).
cnf(cls_less__eq__Suc__le_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__Suc__le_1) ).
cnf(cls_Suc__leD_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__leD_0) ).
cnf(cls_less__Suc__eq__le_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq__le_0) ).
cnf(cls_Suc__leI_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__leI_0) ).
cnf(cls_less__eq__Suc__le_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__eq__Suc__le_0) ).
cnf(cls_le__less__Suc__eq_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
| ~ c_lessequals(X1,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__less__Suc__eq_1) ).
cnf(cls_less__SucI_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__SucI_0) ).
cnf(cls_less__Suc__eq__le_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq__le_1) ).
cnf(cls_le__SucI_0,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__SucI_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_le__neq__implies__less_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__neq__implies__less_0) ).
cnf(cls_le__eq__less__or__eq_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__eq__less__or__eq_0) ).
cnf(cls_nat__less__le_2,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_2) ).
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_mod__if_0,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = X1
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__if_0) ).
cnf(cls_nat__less__le_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_0) ).
cnf(cls_termination__basic__simps_I5_J_0,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_termination__basic__simps_I5_J_0) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(cls_linorder__antisym__conv3_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv3_0) ).
cnf(cls_linorder__less__linear_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__less__linear_0) ).
cnf(cls_linorder__neqE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE_0) ).
cnf(cls_not__less__iff__gr__or__eq_0,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__iff__gr__or__eq_0) ).
cnf(cls_diff__Suc__Suc_0,axiom,
c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__Suc__Suc_0) ).
cnf(cls_add__Suc__shift_0,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__shift_0) ).
cnf(cls_linorder__antisym__conv1_1,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__antisym__conv1_1) ).
cnf(cls_linorder__not__less_0,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).
cnf(cls_linorder__not__le_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__not__le_0) ).
cnf(cls_not__leE_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__leE_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_min__max_Oinf__commute_0,axiom,
( c_Orderings_Oord__class_Omin(X2,X3,X1) = c_Orderings_Oord__class_Omin(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__commute_0) ).
cnf(cls_min__max_Osup__commute_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = c_Orderings_Oord__class_Omax(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__commute_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_class__semiring_Osemiring__rules_I7_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I7_J_0) ).
cnf(cls_class__semiring_Omul__c_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__c_0) ).
cnf(cls_not__less__eq__eq_0,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq__eq_0) ).
cnf(cls_not__less__less__Suc__eq_1,axiom,
( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__less__Suc__eq_1) ).
cnf(cls_not__less__eq_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less__eq_0) ).
cnf(cls_mult__cancel1_1,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__cancel1_1) ).
cnf(cls_mult__cancel2_1,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__cancel2_1) ).
cnf(cls_add__is__1_1,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_1) ).
cnf(cls_one__is__add_1,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_1) ).
cnf(cls_no__zero__divirors__neq0_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_no__zero__divirors__neq0_0) ).
cnf(cls_no__zero__divisors_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_no__zero__divisors_0) ).
cnf(cls_mult__eq__0__iff_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_0) ).
cnf(cls_linorder__neqE__nat_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neqE__nat_0) ).
cnf(cls_nat__neq__iff_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__neq__iff_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_add__is__1_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_0) ).
cnf(cls_add__is__1_3,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_3) ).
cnf(cls_one__is__add_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_0) ).
cnf(cls_one__is__add_3,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_3) ).
cnf(cls_less__Suc0_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc0_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_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_nat__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__mult__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_mult__eq__1__iff_0,axiom,
( X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__1__iff_0) ).
cnf(cls_mult__eq__1__iff_1,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__1__iff_1) ).
cnf(cls_add__is__1_2,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_2) ).
cnf(cls_one__is__add_2,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_2) ).
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_mult__is__0_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__is__0_0) ).
cnf(cls_order__less__le_1,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__le_1) ).
cnf(cls_order__less__irrefl_0,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__less__irrefl_0) ).
cnf(cls_linorder__neq__iff_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__neq__iff_1) ).
cnf(cls_neq0__conv_1,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq0__conv_1) ).
cnf(cls_Suc__n__not__le__n_0,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__le__n_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_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__less0_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__less0_0) ).
cnf(cls_gr__implies__not0_0,axiom,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr__implies__not0_0) ).
cnf(cls_evalc__elim__cases_I1_J_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).
cnf(cls_mult__eq__1__iff_2,axiom,
c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__1__iff_2) ).
cnf(cls_less__not__refl_0,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
cnf(cls_nat__less__le_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__less__le_1) ).
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_add__is__1_4,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_4) ).
cnf(cls_add__is__1_5,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__is__1_5) ).
cnf(cls_one__is__add_4,axiom,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_4) ).
cnf(cls_one__is__add_5,axiom,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_one__is__add_5) ).
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_mod__0_0,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__0_0) ).
cnf(cls_mult__zero__left_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__left_0) ).
cnf(cls_mult__eq__0__iff_1,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_1) ).
cnf(cls_class__semiring_Omul__0_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Omul__0_0) ).
cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I9_J_0) ).
cnf(cls_mult__zero__right_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__zero__right_0) ).
cnf(cls_mult__eq__0__iff_2,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__eq__0__iff_2) ).
cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I10_J_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_mod__by__0_0,axiom,
( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__by__0_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_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_less__Suc0_1,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc0_1) ).
cnf(cls_mod__1_0,axiom,
c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__1_0) ).
cnf(cls_mod__self_0,axiom,
( c_Divides_Odiv__class_Omod(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mod__self_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_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_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_le__Suc__eq_2,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__Suc__eq_2) ).
cnf(cls_min__max_Oinf__idem_0,axiom,
( c_Orderings_Oord__class_Omin(X2,X2,X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Oinf__idem_0) ).
cnf(cls_min__max_Osup__idem_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X2,X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__max_Osup__idem_0) ).
cnf(cls_mult__idem_0,axiom,
( c_HOL_Otimes__class_Otimes(X2,X2,X1) = X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__idem_0) ).
cnf(cls_gr0__conv__Suc_1,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr0__conv__Suc_1) ).
cnf(cls_zero__less__Suc_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_zero__less__Suc_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_gr0I_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gr0I_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_lessI_0,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lessI_0) ).
cnf(cls_less__Suc__eq_2,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__Suc__eq_2) ).
cnf(cls_min__0L_0,axiom,
c_Orderings_Oord__class_Omin(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_min__0L_0) ).
cnf(cls_mult__is__0_1,axiom,
c_HOL_Otimes__class_Otimes(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_mult__is__0_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_min__0R_0,axiom,
c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_min__0R_0) ).
cnf(cls_mult__is__0_2,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mult__is__0_2) ).
cnf(cls_max__0L_0,axiom,
c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__0L_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_max__0R_0,axiom,
c_Orderings_Oord__class_Omax(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_max__0R_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_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_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_evalc_OSkip_0,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_evalc_OSkip_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_le__refl_0,axiom,
c_lessequals(X1,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__refl_0) ).
cnf(cls_com_Osimps_I3_J_0,axiom,
( X1 = X3
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).
cnf(cls_com_Osimps_I3_J_1,axiom,
( X2 = X4
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).
cnf(cls_com_Osimps_I48_J_0,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OBODY(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I48_J_0) ).
cnf(cls_com_Osimps_I49_J_0,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSemi(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I49_J_0) ).
cnf(cls_com_Osimps_I13_J_0,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
cnf(cls_com_Osimps_I12_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_com_Osimps_I6_J_0,axiom,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I6_J_0) ).
cnf(cls_Suc__inject_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__inject_0) ).
cnf(cls_nat_Oinject_0,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Oinject_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_nat_Osimps_I2_J_0,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I2_J_0) ).
cnf(cls_Zero__neq__Suc_0,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zero__neq__Suc_0) ).
cnf(cls_nat_Osimps_I3_J_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat_Osimps_I3_J_0) ).
cnf(cls_Suc__neq__Zero_0,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__neq__Zero_0) ).
cnf(cls_Suc__n__not__n_0,axiom,
c_Suc(X1) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__n__not__n_0) ).
cnf(cls_n__not__Suc__n_0,axiom,
X1 != c_Suc(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
cnf(cls_com_Osimps_I19_J_0,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I19_J_0) ).
cnf(cls_com_Osimps_I18_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_com_Osimps_I18_J_0) ).
cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring) ).
cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__mult) ).
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_nat__Ring__and__Field_Opordered__semiring,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__semiring) ).
cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict) ).
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_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_nat__Ring__and__Field_Omult__mono1,axiom,
class_Ring__and__Field_Omult__mono1(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono1) ).
cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
class_Ring__and__Field_Omult__mono(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono) ).
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(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__cancel__semiring) ).
cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring) ).
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_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_nat__Ring__and__Field_Oordered__semiring,axiom,
class_Ring__and__Field_Oordered__semiring(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring) ).
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_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
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_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_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
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_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semiring__strict) ).
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_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_nat__Divides_Osemiring__div,axiom,
class_Divides_Osemiring__div(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Divides_Osemiring__div) ).
cnf(i_0_699,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_700,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X1,X3,X2,X4,X5,X6),X5)
| ~ c_Natural_Oevaln(X3,X4,X7,X6)
| ~ c_Natural_Oevaln(X1,X2,X8,X5) ),
cls_evaln__max2_0,
[final] ).
cnf(i_0_701,axiom,
( c_Natural_Oevaln(X1,X2,c_Natural_Osko__Natural__Xevaln__max2__1__1(X3,X1,X4,X2,X5,X6),X6)
| ~ c_Natural_Oevaln(X1,X2,X7,X6)
| ~ c_Natural_Oevaln(X3,X4,X8,X5) ),
cls_evaln__max2_1,
[final] ).
cnf(i_0_702,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
cls_nat__less__add__iff1_1,
[final] ).
cnf(i_0_703,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
cls_nat__le__add__iff1_1,
[final] ).
cnf(i_0_704,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
cls_nat__less__add__iff2_1,
[final] ).
cnf(i_0_705,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
cls_nat__le__add__iff2_1,
[final] ).
cnf(i_0_706,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
cls_less__add__iff1_1,
[final] ).
cnf(i_0_707,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X6,X1) ),
cls_le__add__iff1_1,
[final] ).
cnf(i_0_708,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
cls_less__add__iff2_1,
[final] ).
cnf(i_0_709,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1),X1) ),
cls_le__add__iff2_1,
[final] ).
cnf(i_0_710,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_nat__less__add__iff1_0,
[final] ).
cnf(i_0_711,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__add__iff1_0,
[final] ).
cnf(i_0_712,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_nat__less__add__iff2_0,
[final] ).
cnf(i_0_713,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_nat__le__add__iff2_0,
[final] ).
cnf(i_0_714,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
cls_less__add__iff1_0,
[final] ).
cnf(i_0_715,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1),X5,X1),X6,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),X5,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X1),X6,X1),X1) ),
cls_le__add__iff1_0,
[final] ).
cnf(i_0_716,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
cls_less__add__iff2_0,
[final] ).
cnf(i_0_717,axiom,
( c_lessequals(X2,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X4,X1),X5,X1),X6,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X5,X1),X2,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X1),X6,X1),X1) ),
cls_le__add__iff2_0,
[final] ).
cnf(i_0_718,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
cls_nat__diff__add__eq1_0,
[final] ).
cnf(i_0_719,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
cls_nat__diff__add__eq2_0,
[final] ).
cnf(i_0_720,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_nat__eq__add__iff2_1,
[final] ).
cnf(i_0_721,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X4,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_nat__eq__add__iff1_1,
[final] ).
cnf(i_0_722,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
cls_sum__squares__gt__zero__iff_0,
[final] ).
cnf(i_0_723,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_eq__add__iff2_1,
[final] ).
cnf(i_0_724,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1),X1)
| ~ class_Ring__and__Field_Oring(X1) ),
cls_eq__add__iff1_1,
[final] ).
cnf(i_0_725,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
cls_mod__lemma_0,
[final] ).
cnf(i_0_726,axiom,
( c_Natural_Oevaln(c_Com_Ocom_OSemi(X1,X2),X3,X4,X5)
| ~ c_Natural_Oevaln(X2,X6,X4,X5)
| ~ c_Natural_Oevaln(X1,X3,X4,X6) ),
cls_evaln_OSemi_0,
[final] ).
cnf(i_0_727,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_sum__squares__le__zero__iff_0,
[final] ).
cnf(i_0_728,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_sum__squares__le__zero__iff_1,
[final] ).
cnf(i_0_729,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__sum__squares__lt__zero_0,
[final] ).
cnf(i_0_730,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat) = X5
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat)
| ~ c_lessequals(X4,X1,tc_nat) ),
cls_nat__eq__add__iff1_0,
[final] ).
cnf(i_0_731,axiom,
( X3 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,tc_nat),X2,tc_nat),X5,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),X5,tc_nat)
| ~ c_lessequals(X1,X4,tc_nat) ),
cls_nat__eq__add__iff2_0,
[final] ).
cnf(i_0_732,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),c_Orderings_Oord__class_Omin(X2,X4,X1),X1),c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Odistrib__inf__le_0,
[final] ).
cnf(i_0_733,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),c_Orderings_Oord__class_Omax(X2,X4,X1),X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Odistrib__sup__le_0,
[final] ).
cnf(i_0_734,axiom,
( X1 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X2,X1,X3,X4))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X2),X3,X1,X4) ),
cls_evaln__elim__cases_I6_J_0,
[final] ).
cnf(i_0_735,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1) = X6
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
cls_eq__add__iff1_0,
[final] ).
cnf(i_0_736,axiom,
( X4 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1),X6,X1)
| ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),X6,X1) ),
cls_eq__add__iff2_0,
[final] ).
cnf(i_0_737,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1),X5,X1)
| ~ class_Ring__and__Field_Osemiring(X1) ),
cls_combine__common__factor_0,
[final] ).
cnf(i_0_738,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_class__ringb_Onoteq__reduce_0,
[final] ).
cnf(i_0_739,axiom,
( X3 = X5
| X2 = X4
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_class__ringb_Oadd__mul__solve_0,
[final] ).
cnf(i_0_740,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat),X4,tc_nat),
cls_left__add__mult__distrib_0,
[final] ).
cnf(i_0_741,axiom,
( X2 = X4
| X1 = X3
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
cls_natgb_Oadd__mul__solve_0,
[final] ).
cnf(i_0_742,axiom,
( X2 = X4
| X1 = X3
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
cls_natgb_Onoteq__reduce_0,
[final] ).
cnf(i_0_743,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__add__eq_0,
[final] ).
cnf(i_0_744,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__eq_0,
[final] ).
cnf(i_0_745,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
cls_mod__diff__eq_0,
[final] ).
cnf(i_0_746,axiom,
c_Divides_Odiv__class_Omod(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat)),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(X3),X2,tc_nat),
cls_mod__mult__self4_0,
[final] ).
cnf(i_0_747,axiom,
( c_Natural_Oevaln(X1,X2,X3,X4)
| ~ c_lessequals(X5,X3,tc_nat)
| ~ c_Natural_Oevaln(X1,X2,X5,X4) ),
cls_evaln__nonstrict_0,
[final] ).
cnf(i_0_748,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__le__zero__iff_2,
[final] ).
cnf(i_0_749,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
cls_mod__add__cong_0,
[final] ).
cnf(i_0_750,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X6,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
cls_mod__mult__cong_0,
[final] ).
cnf(i_0_751,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X2,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X6,X4,X1),X3,X1)
| ~ class_Divides_Oring__div(X1)
| c_Divides_Odiv__class_Omod(X2,X3,X1) != c_Divides_Odiv__class_Omod(X4,X3,X1)
| c_Divides_Odiv__class_Omod(X5,X3,X1) != c_Divides_Odiv__class_Omod(X6,X3,X1) ),
cls_mod__diff__cong_0,
[final] ).
cnf(i_0_752,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I15_J_0,
[final] ).
cnf(i_0_753,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X4,X5,X1),X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I14_J_0,
[final] ).
cnf(i_0_754,axiom,
( c_Natural_Oevaln(X1,X2,c_Suc(X3),X4)
| ~ c_Natural_Oevaln(X1,X2,X3,X4) ),
cls_evaln__Suc_0,
[final] ).
cnf(i_0_755,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__strict__mono_0,
[final] ).
cnf(i_0_756,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__strict__mono_H_0,
[final] ).
cnf(i_0_757,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__le__less__imp__less_0,
[final] ).
cnf(i_0_758,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__less__le__imp__less_0,
[final] ).
cnf(i_0_759,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__mono_H_0,
[final] ).
cnf(i_0_760,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__mono_0,
[final] ).
cnf(i_0_761,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(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_less__diff__iff_0,
[final] ).
cnf(i_0_762,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_763,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__gt__zero__iff_1,
[final] ).
cnf(i_0_764,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__gt__zero__iff_2,
[final] ).
cnf(i_0_765,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__ge__zero_0,
[final] ).
cnf(i_0_766,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(X4,X2,tc_nat)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X2,X5,tc_nat),tc_nat) ),
cls_nat__mod__eq__iff_1,
[final] ).
cnf(i_0_767,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
cls_mult__right__less__imp__less_0,
[final] ).
cnf(i_0_768,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_mult__left__less__imp__less_0,
[final] ).
cnf(i_0_769,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
cls_mult__less__imp__less__right_0,
[final] ).
cnf(i_0_770,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_mult__less__imp__less__left_0,
[final] ).
cnf(i_0_771,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_mult__less__cancel__left__pos_0,
[final] ).
cnf(i_0_772,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) ),
cls_mult__right__le__imp__le_0,
[final] ).
cnf(i_0_773,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) ),
cls_mult__left__le__imp__le_0,
[final] ).
cnf(i_0_774,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1) ),
cls_mult__le__cancel__left__pos_0,
[final] ).
cnf(i_0_775,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__left__neg_0,
[final] ).
cnf(i_0_776,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__cancel__left__neg_0,
[final] ).
cnf(i_0_777,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
cls_nat__mult__less__cancel1_0,
[final] ).
cnf(i_0_778,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) ),
cls_mult__le__cancel2_0,
[final] ).
cnf(i_0_779,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat) ),
cls_nat__mult__le__cancel1_0,
[final] ).
cnf(i_0_780,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
cls_mult__le__cancel1_0,
[final] ).
cnf(i_0_781,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__left__disj_0,
[final] ).
cnf(i_0_782,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__right__disj_0,
[final] ).
cnf(i_0_783,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Oadd__mul__solve_1,
[final] ).
cnf(i_0_784,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1) ),
cls_class__ringb_Onoteq__reduce_1,
[final] ).
cnf(i_0_785,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__right__disj_1,
[final] ).
cnf(i_0_786,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__left__disj_1,
[final] ).
cnf(i_0_787,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__left__disj_2,
[final] ).
cnf(i_0_788,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__right__disj_2,
[final] ).
cnf(i_0_789,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_790,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I13_J_0,
[final] ).
cnf(i_0_791,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_zmod__simps_I1_J_0,
[final] ).
cnf(i_0_792,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X3,X1),X4,X1),X3,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_zmod__simps_I4_J_0,
[final] ).
cnf(i_0_793,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_zmod__simps_I2_J_0,
[final] ).
cnf(i_0_794,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__add__left__eq_0,
[final] ).
cnf(i_0_795,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__left__eq_0,
[final] ).
cnf(i_0_796,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
cls_mod__diff__left__eq_0,
[final] ).
cnf(i_0_797,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__add__right__eq_0,
[final] ).
cnf(i_0_798,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__right__eq_0,
[final] ).
cnf(i_0_799,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1),X4,X1)
| ~ class_Divides_Oring__div(X1) ),
cls_mod__diff__right__eq_0,
[final] ).
cnf(i_0_800,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X4,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
cls_mult__less__cancel__right__disj_3,
[final] ).
cnf(i_0_801,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X3,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
cls_mult__less__cancel__left__disj_3,
[final] ).
cnf(i_0_802,axiom,
( X4 = X5
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) != c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X5,X1),X1) ),
cls_class__ringb_Oadd__scale__eq__noteq_0,
[final] ).
cnf(i_0_803,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
cls_natgb_Onoteq__reduce_1,
[final] ).
cnf(i_0_804,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
cls_natgb_Oadd__mul__solve_1,
[final] ).
cnf(i_0_805,axiom,
( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_diff__Suc__diff__eq2_0,
[final] ).
cnf(i_0_806,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_Suc(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),c_Suc(X2),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
cls_diff__Suc__diff__eq1_0,
[final] ).
cnf(i_0_807,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_less__diff__iff_1,
[final] ).
cnf(i_0_808,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_809,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_810,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat) ),
cls_Suc__mult__less__cancel1_0,
[final] ).
cnf(i_0_811,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X3),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X3),X2,tc_nat),tc_nat) ),
cls_Suc__mult__le__cancel1_0,
[final] ).
cnf(i_0_812,axiom,
( X3 = X4
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),tc_nat) ),
cls_natgb_Oadd__scale__eq__noteq_0,
[final] ).
cnf(i_0_813,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_814,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_815,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) ),
cls_add__less__cancel__right_0,
[final] ).
cnf(i_0_816,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X2,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1) ),
cls_add__less__cancel__left_0,
[final] ).
cnf(i_0_817,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_818,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_819,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_820,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
cls_mult__less__cancel1_0,
[final] ).
cnf(i_0_821,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
cls_mult__less__cancel2_0,
[final] ).
cnf(i_0_822,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(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__less_0,
[final] ).
cnf(i_0_823,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) ),
cls_mult__less__cancel2_1,
[final] ).
cnf(i_0_824,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat) ),
cls_mult__less__cancel1_1,
[final] ).
cnf(i_0_825,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_826,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_mult__strict__left__mono__comm_0,
[final] ).
cnf(i_0_827,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_mult__strict__left__mono_0,
[final] ).
cnf(i_0_828,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__less__cancel__left__disj_4,
[final] ).
cnf(i_0_829,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__less__cancel__left__pos_1,
[final] ).
cnf(i_0_830,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_mult__strict__right__mono_0,
[final] ).
cnf(i_0_831,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__less__cancel__right__disj_4,
[final] ).
cnf(i_0_832,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_mult__mono1_0,
[final] ).
cnf(i_0_833,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_mult__left__mono_0,
[final] ).
cnf(i_0_834,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__le__cancel__left__pos_1,
[final] ).
cnf(i_0_835,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_mult__right__mono_0,
[final] ).
cnf(i_0_836,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__left__disj_5,
[final] ).
cnf(i_0_837,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_mult__strict__left__mono__neg_0,
[final] ).
cnf(i_0_838,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__left__neg_1,
[final] ).
cnf(i_0_839,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__less__cancel__right__disj_5,
[final] ).
cnf(i_0_840,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
cls_mult__strict__right__mono__neg_0,
[final] ).
cnf(i_0_841,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_mult__left__mono__neg_0,
[final] ).
cnf(i_0_842,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__cancel__left__neg_1,
[final] ).
cnf(i_0_843,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_mult__right__mono__neg_0,
[final] ).
cnf(i_0_844,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_845,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__strict__mono_0,
[final] ).
cnf(i_0_846,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X5,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_add__le__less__mono_0,
[final] ).
cnf(i_0_847,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X5,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_lessequals(X3,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__less__le__mono_0,
[final] ).
cnf(i_0_848,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_849,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
cls_eval__eq_1,
[final] ).
cnf(i_0_850,axiom,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
cls_evaln__evalc_0,
[final] ).
cnf(i_0_851,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_sum__squares__eq__zero__iff_0,
[final] ).
cnf(i_0_852,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_sum__squares__eq__zero__iff_1,
[final] ).
cnf(i_0_853,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X2,X4,X1),X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__mult2_0,
[final] ).
cnf(i_0_854,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X4,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I1_J_0,
[final] ).
cnf(i_0_855,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X2,c_Divides_Odiv__class_Omod(X3,X4,X1),X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__mult1_0,
[final] ).
cnf(i_0_856,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X4,X1),c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__distrib2_0,
[final] ).
cnf(i_0_857,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X4,X1),c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__distrib2_0,
[final] ).
cnf(i_0_858,axiom,
( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
cls_min__add__distrib__left_0,
[final] ).
cnf(i_0_859,axiom,
( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X2,X4,X1),c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
cls_max__add__distrib__left_0,
[final] ).
cnf(i_0_860,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
cls_comm__semiring__class_Odistrib_0,
[final] ).
cnf(i_0_861,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X3,X1),X4,X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X1),c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I8_J_0,
[final] ).
cnf(i_0_862,axiom,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
cls_min__diff__distrib__left_0,
[final] ).
cnf(i_0_863,axiom,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X2,X4,X1),c_HOL_Ominus__class_Ominus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
cls_max__diff__distrib__left_0,
[final] ).
cnf(i_0_864,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X2,X3,X1),c_Orderings_Oord__class_Omin(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__distrib1_0,
[final] ).
cnf(i_0_865,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X2,X3,X1),c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__distrib1_0,
[final] ).
cnf(i_0_866,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__d_0,
[final] ).
cnf(i_0_867,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__self2_0,
[final] ).
cnf(i_0_868,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1),X4,X1) = c_Divides_Odiv__class_Omod(X2,X4,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__self1_0,
[final] ).
cnf(i_0_869,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_nat__mult__less__cancel1_1,
[final] ).
cnf(i_0_870,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
cls_mult__less__mono2_0,
[final] ).
cnf(i_0_871,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_mult__less__cancel1_2,
[final] ).
cnf(i_0_872,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_mult__less__mono1_0,
[final] ).
cnf(i_0_873,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
cls_mult__less__cancel2_2,
[final] ).
cnf(i_0_874,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_nat__mult__le__cancel1_1,
[final] ).
cnf(i_0_875,negated_conjecture,
( v_fun2(X1,X2)
| ~ c_Natural_Oevaln(v_com,X3,c_Suc(v_n),X2)
| ~ v_fun1(X1,X3) ),
cls_conjecture_3,
[final] ).
cnf(i_0_876,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_add__less__mono_0,
[final] ).
cnf(i_0_877,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
cls_diff__less__mono2_0,
[final] ).
cnf(i_0_878,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_diff__less__mono_0,
[final] ).
cnf(i_0_879,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_880,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),tc_nat)
| ~ c_lessequals(X2,X4,tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_mult__le__mono_0,
[final] ).
cnf(i_0_881,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
cls_zero__less__mult__pos2_0,
[final] ).
cnf(i_0_882,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
cls_zero__less__mult__pos_0,
[final] ).
cnf(i_0_883,axiom,
c_Orderings_Oord__class_Omin(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(c_Orderings_Oord__class_Omin(X1,X3,tc_nat),X2,tc_nat),
cls_min__diff_0,
[final] ).
cnf(i_0_884,axiom,
c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X3,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
cls_mod__mult__distrib_0,
[final] ).
cnf(i_0_885,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
cls_add__mult__distrib_0,
[final] ).
cnf(i_0_886,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
cls_diff__mult__distrib_0,
[final] ).
cnf(i_0_887,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
cls_mod__mult__distrib2_0,
[final] ).
cnf(i_0_888,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
cls_add__mult__distrib2_0,
[final] ).
cnf(i_0_889,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat),
cls_diff__mult__distrib2_0,
[final] ).
cnf(i_0_890,axiom,
c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat) = c_Divides_Odiv__class_Omod(X3,X2,tc_nat),
cls_mod__mult__self3_0,
[final] ).
cnf(i_0_891,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_892,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
cls_less__diff__conv_0,
[final] ).
cnf(i_0_893,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_894,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
cls_less__diff__conv_1,
[final] ).
cnf(i_0_895,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_896,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_897,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_898,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_899,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_900,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_901,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_902,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_1,
[final] ).
cnf(i_0_903,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_0,
[final] ).
cnf(i_0_904,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_3,
[final] ).
cnf(i_0_905,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
cls_zero__le__mult__iff_0,
[final] ).
cnf(i_0_906,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
cls_zero__le__mult__iff_3,
[final] ).
cnf(i_0_907,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
cls_zero__le__mult__iff_2,
[final] ).
cnf(i_0_908,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
cls_zero__le__mult__iff_1,
[final] ).
cnf(i_0_909,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_2,
[final] ).
cnf(i_0_910,axiom,
( X1 = X2
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X2,X3,X1) ),
cls_evaln__elim__cases_I1_J_0,
[final] ).
cnf(i_0_911,axiom,
( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat) ),
cls_one__less__mult_0,
[final] ).
cnf(i_0_912,axiom,
( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
cls_one__le__mult__iff_2,
[final] ).
cnf(i_0_913,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
cls_min__less__iff__disj_0,
[final] ).
cnf(i_0_914,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X4,X2,X1),X3,X1) ),
cls_min__le__iff__disj_0,
[final] ).
cnf(i_0_915,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
cls_less__max__iff__disj_0,
[final] ).
cnf(i_0_916,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X4,X3,X1),X1) ),
cls_le__max__iff__disj_0,
[final] ).
cnf(i_0_917,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
cls_Suc__mult__less__cancel1_1,
[final] ).
cnf(i_0_918,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
cls_Suc__mult__le__cancel1_1,
[final] ).
cnf(i_0_919,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__neg__pos_0,
[final] ).
cnf(i_0_920,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__pos__neg2_0,
[final] ).
cnf(i_0_921,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__pos__neg_0,
[final] ).
cnf(i_0_922,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_mult__nonneg__nonpos2_0,
[final] ).
cnf(i_0_923,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__nonpos__nonneg_0,
[final] ).
cnf(i_0_924,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_split__mult__neg__le_1,
[final] ).
cnf(i_0_925,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__nonneg__nonpos_0,
[final] ).
cnf(i_0_926,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_split__mult__neg__le_0,
[final] ).
cnf(i_0_927,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__le__0__iff_5,
[final] ).
cnf(i_0_928,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__le__0__iff_4,
[final] ).
cnf(i_0_929,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__neg__neg_0,
[final] ).
cnf(i_0_930,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__nonpos__neg_0,
[final] ).
cnf(i_0_931,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_add__neg__nonpos_0,
[final] ).
cnf(i_0_932,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_933,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__pos__pos_0,
[final] ).
cnf(i_0_934,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__nonneg__pos_0,
[final] ).
cnf(i_0_935,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_add__pos__nonneg_0,
[final] ).
cnf(i_0_936,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__pos__pos_0,
[final] ).
cnf(i_0_937,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_938,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_mult__nonneg__nonneg_0,
[final] ).
cnf(i_0_939,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_split__mult__pos__le_0,
[final] ).
cnf(i_0_940,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__le__mult__iff_4,
[final] ).
cnf(i_0_941,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__neg__neg_0,
[final] ).
cnf(i_0_942,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_split__mult__pos__le_1,
[final] ).
cnf(i_0_943,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_mult__nonpos__nonpos_0,
[final] ).
cnf(i_0_944,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_zero__le__mult__iff_5,
[final] ).
cnf(i_0_945,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat) ),
cls_add__gr__0_0,
[final] ).
cnf(i_0_946,axiom,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat),
cls_le__cube_0,
[final] ).
cnf(i_0_947,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
cls_n__less__n__mult__m_0,
[final] ).
cnf(i_0_948,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
cls_n__less__m__mult__n_0,
[final] ).
cnf(i_0_949,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_add__strict__left__mono_0,
[final] ).
cnf(i_0_950,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_add__less__cancel__left_1,
[final] ).
cnf(i_0_951,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X3,X1),c_HOL_Oplus__class_Oplus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__strict__right__mono_0,
[final] ).
cnf(i_0_952,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_add__less__cancel__right_1,
[final] ).
cnf(i_0_953,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_954,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_955,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_956,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_957,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_add__strict__increasing2_0,
[final] ).
cnf(i_0_958,axiom,
( c_HOL_Oord__class_Oless(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_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_add__strict__increasing_0,
[final] ).
cnf(i_0_959,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_960,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_961,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
cls_pos__add__strict_0,
[final] ).
cnf(i_0_962,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
cls_nat__add__left__cancel__less_1,
[final] ).
cnf(i_0_963,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_add__less__mono1_0,
[final] ).
cnf(i_0_964,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_965,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_966,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
cls_mult__le__cancel1_2,
[final] ).
cnf(i_0_967,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
cls_mult__le__mono2_0,
[final] ).
cnf(i_0_968,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_mult__le__cancel2_2,
[final] ).
cnf(i_0_969,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
cls_mult__le__mono1_0,
[final] ).
cnf(i_0_970,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_971,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_972,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_max__less__iff__conj_2,
[final] ).
cnf(i_0_973,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__sup__iff_2,
[final] ).
cnf(i_0_974,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Osup__least_0,
[final] ).
cnf(i_0_975,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__supI_0,
[final] ).
cnf(i_0_976,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_min__less__iff__conj_2,
[final] ).
cnf(i_0_977,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Oinf__greatest_0,
[final] ).
cnf(i_0_978,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__inf__iff_2,
[final] ).
cnf(i_0_979,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__infI_0,
[final] ).
cnf(i_0_980,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_nat__0__less__mult__iff_2,
[final] ).
cnf(i_0_981,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_982,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
cls_diff__less_0,
[final] ).
cnf(i_0_983,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
cls_zero__less__double__add__iff__zero__less__single__add_0,
[final] ).
cnf(i_0_984,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_985,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_even__less__0__iff_0,
[final] ).
cnf(i_0_986,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__less__zero__iff__single__less__zero_0,
[final] ).
cnf(i_0_987,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_988,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),c_Suc(X3),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),
cls_Suc__diff__diff_0,
[final] ).
cnf(i_0_989,axiom,
( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
cls_one__le__mult__iff_0,
[final] ).
cnf(i_0_990,axiom,
( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
cls_one__le__mult__iff_1,
[final] ).
cnf(i_0_991,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_992,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X4,X1),X3,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I16_J_0,
[final] ).
cnf(i_0_993,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__assoc_0,
[final] ).
cnf(i_0_994,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X2,X3,X1),X4,X1) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__assoc_0,
[final] ).
cnf(i_0_995,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_996,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_997,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_998,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,
[final] ).
cnf(i_0_999,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I17_J_0,
[final] ).
cnf(i_0_1000,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_1001,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_1002,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__a_0,
[final] ).
cnf(i_0_1003,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I18_J_0,
[final] ).
cnf(i_0_1004,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) = c_Orderings_Oord__class_Omin(X3,c_Orderings_Oord__class_Omin(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__left__commute_0,
[final] ).
cnf(i_0_1005,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1) = c_Orderings_Oord__class_Omax(X3,c_Orderings_Oord__class_Omax(X2,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__left__commute_0,
[final] ).
cnf(i_0_1006,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_1007,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_1008,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_1009,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X1),X1) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I19_J_0,
[final] ).
cnf(i_0_1010,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_sum__squares__eq__zero__iff_2,
[final] ).
cnf(i_0_1011,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_less__iff__diff__less__0_1,
[final] ).
cnf(i_0_1012,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_1013,axiom,
c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)),X2,tc_nat),
cls_mod__Suc__eq__Suc__mod_0,
[final] ).
cnf(i_0_1014,axiom,
( c_HOL_Oord__class_Oless(X2,X3,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_HOL_Oord__class_Oless(X4,X5,X1) ),
cls_less__eqI_1,
[final] ).
cnf(i_0_1015,axiom,
( c_HOL_Oord__class_Oless(X4,X5,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_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0,
[final] ).
cnf(i_0_1016,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_1017,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_1018,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_mult__le__cancel1_1,
[final] ).
cnf(i_0_1019,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
cls_mult__le__cancel2_1,
[final] ).
cnf(i_0_1020,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
cls_max__less__iff__conj_0,
[final] ).
cnf(i_0_1021,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
cls_max__less__iff__conj_1,
[final] ).
cnf(i_0_1022,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
cls_min__max_Ole__supE_0,
[final] ).
cnf(i_0_1023,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X2,X4,X1),X3,X1) ),
cls_min__max_Ole__sup__iff_0,
[final] ).
cnf(i_0_1024,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
cls_min__max_Ole__supE_1,
[final] ).
cnf(i_0_1025,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X1),X3,X1) ),
cls_min__max_Ole__sup__iff_1,
[final] ).
cnf(i_0_1026,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
cls_min__less__iff__conj_0,
[final] ).
cnf(i_0_1027,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
cls_min__less__iff__conj_1,
[final] ).
cnf(i_0_1028,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
cls_min__max_Ole__infE_0,
[final] ).
cnf(i_0_1029,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X3,X4,X1),X1) ),
cls_min__max_Ole__inf__iff_0,
[final] ).
cnf(i_0_1030,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
cls_min__max_Ole__infE_1,
[final] ).
cnf(i_0_1031,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omin(X4,X3,X1),X1) ),
cls_min__max_Ole__inf__iff_1,
[final] ).
cnf(i_0_1032,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_1033,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_1034,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_1035,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_1036,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat),
cls_nat__mult__assoc_0,
[final] ).
cnf(i_0_1037,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_1038,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_1039,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
cls_nat__0__less__mult__iff_0,
[final] ).
cnf(i_0_1040,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
cls_nat__0__less__mult__iff_1,
[final] ).
cnf(i_0_1041,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
cls_zero__less__diff_0,
[final] ).
cnf(i_0_1042,axiom,
( c_HOL_Oord__class_Oless(X1,X4,tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
cls_less__add__eq__less_0,
[final] ).
cnf(i_0_1043,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),X2,tc_nat) ),
cls_add__lessD1_0,
[final] ).
cnf(i_0_1044,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_1045,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_1046,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_1047,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_1048,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_le__mod__geq_0,
[final] ).
cnf(i_0_1049,axiom,
( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat))
| c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) = X2 ),
cls_mod__Suc_1,
[final] ).
cnf(i_0_1050,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_not__square__less__zero_0,
[final] ).
cnf(i_0_1051,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_even__less__0__iff_1,
[final] ).
cnf(i_0_1052,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
cls_double__add__less__zero__iff__single__less__zero_1,
[final] ).
cnf(i_0_1053,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_1054,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
cls_zero__less__double__add__iff__zero__less__single__add_1,
[final] ).
cnf(i_0_1055,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_1056,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
cls_less__add__Suc1_0,
[final] ).
cnf(i_0_1057,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
cls_less__iff__Suc__add_1,
[final] ).
cnf(i_0_1058,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
cls_less__add__Suc2_0,
[final] ).
cnf(i_0_1059,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_mod__if_1,
[final] ).
cnf(i_0_1060,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__iff__diff__less__0_0,
[final] ).
cnf(i_0_1061,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_1062,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,c_Suc(X2),tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_diff__Suc__less_0,
[final] ).
cnf(i_0_1063,axiom,
( X2 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_nat__mult__eq__cancel1_0,
[final] ).
cnf(i_0_1064,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__less__iff__disj_1,
[final] ).
cnf(i_0_1065,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__max_Oless__infI1_0,
[final] ).
cnf(i_0_1066,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_min__less__iff__disj_2,
[final] ).
cnf(i_0_1067,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1) ),
cls_min__max_Oless__infI2_0,
[final] ).
cnf(i_0_1068,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__infI1_0,
[final] ).
cnf(i_0_1069,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__le__iff__disj_1,
[final] ).
cnf(i_0_1070,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_min__max_Ole__infI2_0,
[final] ).
cnf(i_0_1071,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_min__le__iff__disj_2,
[final] ).
cnf(i_0_1072,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__max__iff__disj_1,
[final] ).
cnf(i_0_1073,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_min__max_Oless__supI1_0,
[final] ).
cnf(i_0_1074,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_less__max__iff__disj_2,
[final] ).
cnf(i_0_1075,axiom,
( c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_min__max_Oless__supI2_0,
[final] ).
cnf(i_0_1076,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__supI1_0,
[final] ).
cnf(i_0_1077,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__max__iff__disj_1,
[final] ).
cnf(i_0_1078,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_min__max_Ole__supI2_0,
[final] ).
cnf(i_0_1079,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X4,X1),X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__max__iff__disj_2,
[final] ).
cnf(i_0_1080,axiom,
( c_Natural_Oevalc(c_Com_Ocom_OSemi(X1,X2),X3,X4)
| ~ c_Natural_Oevalc(X2,X5,X4)
| ~ c_Natural_Oevalc(X1,X3,X5) ),
cls_evalc_OSemi_0,
[final] ).
cnf(i_0_1081,axiom,
( c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_Suc__diff__le_0,
[final] ).
cnf(i_0_1082,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_add__gr__0_1,
[final] ).
cnf(i_0_1083,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
cls_add__gr__0_2,
[final] ).
cnf(i_0_1084,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
cls_not__add__less1_0,
[final] ).
cnf(i_0_1085,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
cls_not__add__less2_0,
[final] ).
cnf(i_0_1086,axiom,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X1),
cls_evaln_OSkip_0,
[final] ).
cnf(i_0_1087,axiom,
( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
cls_mod__less__divisor_0,
[final] ).
cnf(i_0_1088,axiom,
( c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
cls_mod__le__divisor_0,
[final] ).
cnf(i_0_1089,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
cls_zero__less__diff_1,
[final] ).
cnf(i_0_1090,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_1091,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_1092,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_1093,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_1094,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
cls_conjecture_1,
[final] ).
cnf(i_0_1095,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_less__imp__diff__less_0,
[final] ).
cnf(i_0_1096,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_termination__basic__simps_I1_J_0,
[final] ).
cnf(i_0_1097,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_trans__less__add1_0,
[final] ).
cnf(i_0_1098,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_termination__basic__simps_I2_J_0,
[final] ).
cnf(i_0_1099,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_trans__less__add2_0,
[final] ).
cnf(i_0_1100,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_1101,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_1102,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_1103,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_1104,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I10_J_0,
[final] ).
cnf(i_0_1105,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1) ),
cls_xt1_I7_J_0,
[final] ).
cnf(i_0_1106,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I8_J_0,
[final] ).
cnf(i_0_1107,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__trans_0,
[final] ).
cnf(i_0_1108,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__le__less__trans_0,
[final] ).
cnf(i_0_1109,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X2,X4,X1) ),
cls_order__less__le__trans_0,
[final] ).
cnf(i_0_1110,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_1111,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_1112,axiom,
( c_Divides_Odiv__class_Omod(c_Suc(X1),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_Divides_Odiv__class_Omod(X1,X2,tc_nat)) != X2 ),
cls_mod__Suc_0,
[final] ).
cnf(i_0_1113,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_less__trans__Suc_0,
[final] ).
cnf(i_0_1114,axiom,
( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mod__trivial_0,
[final] ).
cnf(i_0_1115,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X2,X1) = c_Divides_Odiv__class_Omod(X3,X2,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__add__self1_0,
[final] ).
cnf(i_0_1116,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X1),X3,X1) = c_Divides_Odiv__class_Omod(X2,X3,X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__add__self2_0,
[final] ).
cnf(i_0_1117,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1) = c_Orderings_Oord__class_Omin(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__left__idem_0,
[final] ).
cnf(i_0_1118,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = c_Orderings_Oord__class_Omax(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__left__idem_0,
[final] ).
cnf(i_0_1119,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(X2,X3,X1)
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
cls_mult__left__idem_0,
[final] ).
cnf(i_0_1120,axiom,
( c_Suc(c_HOL_Ominus__class_Ominus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X1
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
cls_Suc__pred_0,
[final] ).
cnf(i_0_1121,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_1122,axiom,
c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
cls_mult__Suc_0,
[final] ).
cnf(i_0_1123,axiom,
c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat),
cls_mult__Suc__right_0,
[final] ).
cnf(i_0_1124,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = X2
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
cls_add__diff__inverse_0,
[final] ).
cnf(i_0_1125,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat) = c_Orderings_Oord__class_Omax(X1,X2,tc_nat),
cls_nat__minus__add__max_0,
[final] ).
cnf(i_0_1126,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_less__le__not__le_2,
[final] ).
cnf(i_0_1127,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_1128,axiom,
( X2 = X3
| c_HOL_Otimes__class_Otimes(c_Suc(X1),X2,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X1),X3,tc_nat) ),
cls_Suc__mult__cancel1_0,
[final] ).
cnf(i_0_1129,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_699]),
[final] ).
cnf(i_0_1130,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_1131,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_1132,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_1133,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_1134,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_1135,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_1136,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_1137,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_1138,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_xt1_I9_J_0,
[final] ).
cnf(i_0_1139,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_H_0,
[final] ).
cnf(i_0_1140,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_order__less__asym_0,
[final] ).
cnf(i_0_1141,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_less__le__not__le_1,
[final] ).
cnf(i_0_1142,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_not__less__iff__gr__or__eq_1,
[final] ).
cnf(i_0_1143,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__antisym__conv2_1,
[final] ).
cnf(i_0_1144,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(X3,X2,X1) ),
cls_linorder__not__le_1,
[final] ).
cnf(i_0_1145,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_linorder__not__less_1,
[final] ).
cnf(i_0_1146,axiom,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
cls_le__less__Suc__eq_0,
[final] ).
cnf(i_0_1147,axiom,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X2),X1,tc_nat) ),
cls_not__less__eq__eq_1,
[final] ).
cnf(i_0_1148,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
cls_not__less__eq_1,
[final] ).
cnf(i_0_1149,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_1150,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
cls_zero__le__square_0,
[final] ).
cnf(i_0_1151,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
cls_com__det_0,
[final] ).
cnf(i_0_1152,axiom,
c_Orderings_Oord__class_Omin(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(X1,X2,tc_nat)),
cls_min__Suc__Suc_0,
[final] ).
cnf(i_0_1153,axiom,
c_Orderings_Oord__class_Omax(c_Suc(X1),c_Suc(X2),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),
cls_max__Suc__Suc_0,
[final] ).
cnf(i_0_1154,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X3,X2,tc_nat) ),
cls_mult__cancel2_0,
[final] ).
cnf(i_0_1155,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = X3
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat) ),
cls_mult__cancel1_0,
[final] ).
cnf(i_0_1156,axiom,
( X2 = X3
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X3,tc_nat) ),
cls_nat__mult__eq__cancel__disj_0,
[final] ).
cnf(i_0_1157,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__self1__is__0_0,
[final] ).
cnf(i_0_1158,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X1),X3,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__mult__self2__is__0_0,
[final] ).
cnf(i_0_1159,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__antisym_0,
[final] ).
cnf(i_0_1160,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_1161,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_1162,axiom,
( c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__sup__absorb_0,
[final] ).
cnf(i_0_1163,axiom,
( c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omin(X2,X3,X1),X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__inf__absorb_0,
[final] ).
cnf(i_0_1164,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__le1_0,
[final] ).
cnf(i_0_1165,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X2,X3,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__le2_0,
[final] ).
cnf(i_0_1166,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_le__maxI1_0,
[final] ).
cnf(i_0_1167,axiom,
( c_lessequals(X2,c_Orderings_Oord__class_Omax(X3,X2,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_le__maxI2_0,
[final] ).
cnf(i_0_1168,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_1169,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_1170,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_1171,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
cls_add__Suc_0,
[final] ).
cnf(i_0_1172,axiom,
c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),
cls_add__Suc__right_0,
[final] ).
cnf(i_0_1173,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
cls_diff__less__Suc_0,
[final] ).
cnf(i_0_1174,axiom,
c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_mod__eq__0__iff_1,
[final] ).
cnf(i_0_1175,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_1176,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_1177,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_1178,axiom,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
cls_mod__less__eq__dividend_0,
[final] ).
cnf(i_0_1179,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
cls_diff__le__self_0,
[final] ).
cnf(i_0_1180,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
cls_le__iff__add_1,
[final] ).
cnf(i_0_1181,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
cls_le__add1_0,
[final] ).
cnf(i_0_1182,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
cls_le__add2_0,
[final] ).
cnf(i_0_1183,axiom,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
cls_le__square_0,
[final] ).
cnf(i_0_1184,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
cls_Suc__less__eq_0,
[final] ).
cnf(i_0_1185,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
cls_Suc__le__mono_0,
[final] ).
cnf(i_0_1186,axiom,
( X1 = c_Suc(X2)
| c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
cls_le__SucE_0,
[final] ).
cnf(i_0_1187,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__neq__le__trans_0,
[final] ).
cnf(i_0_1188,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__neq__trans_0,
[final] ).
cnf(i_0_1189,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__less__le_2,
[final] ).
cnf(i_0_1190,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__le__less_0,
[final] ).
cnf(i_0_1191,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I12_J_0,
[final] ).
cnf(i_0_1192,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_xt1_I11_J_0,
[final] ).
cnf(i_0_1193,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv2_0,
[final] ).
cnf(i_0_1194,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_linorder__antisym__conv1_0,
[final] ).
cnf(i_0_1195,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Omin(X2,X3,X1) != X2 ),
cls_min__max_Ole__iff__inf_1,
[final] ).
cnf(i_0_1196,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1)
| c_Orderings_Oord__class_Omax(X2,X3,X1) != X3 ),
cls_min__max_Ole__iff__sup_1,
[final] ).
cnf(i_0_1197,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_Suc__mono_0,
[final] ).
cnf(i_0_1198,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_less__Suc__eq__0__disj_3,
[final] ).
cnf(i_0_1199,axiom,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_Suc__le__mono_1,
[final] ).
cnf(i_0_1200,axiom,
( c_Orderings_Oord__class_Omin(X2,X3,X1) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__iff__inf_0,
[final] ).
cnf(i_0_1201,axiom,
( c_Orderings_Oord__class_Omin(X2,X3,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_min__max_Oinf__absorb2_0,
[final] ).
cnf(i_0_1202,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X2
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_min__max_Osup__absorb1_0,
[final] ).
cnf(i_0_1203,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = X3
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_min__max_Ole__iff__sup_0,
[final] ).
cnf(i_0_1204,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
cls_less__SucE_0,
[final] ).
cnf(i_0_1205,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
cls_not__less__less__Suc__eq_0,
[final] ).
cnf(i_0_1206,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
cls_less__antisym_0,
[final] ).
cnf(i_0_1207,axiom,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_Suc(X1) = X2
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_Suc__lessI_0,
[final] ).
cnf(i_0_1208,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__le__less_1,
[final] ).
cnf(i_0_1209,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_order__less__imp__le_0,
[final] ).
cnf(i_0_1210,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
cls_Suc__lessD_0,
[final] ).
cnf(i_0_1211,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_Suc__le__eq_0,
[final] ).
cnf(i_0_1212,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_less__eq__Suc__le_1,
[final] ).
cnf(i_0_1213,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
cls_Suc__leD_0,
[final] ).
cnf(i_0_1214,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
cls_less__Suc__eq__le_0,
[final] ).
cnf(i_0_1215,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_Suc__leI_0,
[final] ).
cnf(i_0_1216,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_less__eq__Suc__le_0,
[final] ).
cnf(i_0_1217,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
| ~ c_lessequals(X1,X1,tc_nat) ),
cls_le__less__Suc__eq_1,
[final] ).
cnf(i_0_1218,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_less__SucI_0,
[final] ).
cnf(i_0_1219,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_less__Suc__eq__le_1,
[final] ).
cnf(i_0_1220,axiom,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__SucI_0,
[final] ).
cnf(i_0_1221,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_1222,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__neq__implies__less_0,
[final] ).
cnf(i_0_1223,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_le__eq__less__or__eq_0,
[final] ).
cnf(i_0_1224,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_nat__less__le_2,
[final] ).
cnf(i_0_1225,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_1226,axiom,
( c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = X1
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_mod__if_0,
[final] ).
cnf(i_0_1227,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_nat__less__le_0,
[final] ).
cnf(i_0_1228,axiom,
( c_lessequals(X1,X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
cls_termination__basic__simps_I5_J_0,
[final] ).
cnf(i_0_1229,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0,
[final] ).
cnf(i_0_1230,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv3_0,
[final] ).
cnf(i_0_1231,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| X3 = X2
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__less__linear_0,
[final] ).
cnf(i_0_1232,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__neqE_0,
[final] ).
cnf(i_0_1233,axiom,
( X2 = X3
| c_HOL_Oord__class_Oless(X3,X2,X1)
| c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__less__iff__gr__or__eq_0,
[final] ).
cnf(i_0_1234,axiom,
c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),
cls_diff__Suc__Suc_0,
[final] ).
cnf(i_0_1235,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat) = c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),
cls_add__Suc__shift_0,
[final] ).
cnf(i_0_1236,axiom,
( c_HOL_Oord__class_Oless(X2,X2,X1)
| c_lessequals(X2,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__antisym__conv1_1,
[final] ).
cnf(i_0_1237,axiom,
( c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__less_0,
[final] ).
cnf(i_0_1238,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__not__le_0,
[final] ).
cnf(i_0_1239,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_not__leE_0,
[final] ).
cnf(i_0_1240,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1241,axiom,
( c_Orderings_Oord__class_Omin(X2,X3,X1) = c_Orderings_Oord__class_Omin(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__commute_0,
[final] ).
cnf(i_0_1242,axiom,
( c_Orderings_Oord__class_Omax(X2,X3,X1) = c_Orderings_Oord__class_Omax(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__commute_0,
[final] ).
cnf(i_0_1243,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_1244,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_1245,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_1246,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I7_J_0,
[final] ).
cnf(i_0_1247,axiom,
( c_HOL_Otimes__class_Otimes(X2,X3,X1) = c_HOL_Otimes__class_Otimes(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__c_0,
[final] ).
cnf(i_0_1248,axiom,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_not__less__eq__eq_0,
[final] ).
cnf(i_0_1249,axiom,
( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
| c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
cls_not__less__less__Suc__eq_1,
[final] ).
cnf(i_0_1250,axiom,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
cls_not__less__eq_0,
[final] ).
cnf(i_0_1251,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),
cls_mult__cancel1_1,
[final] ).
cnf(i_0_1252,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_mult__cancel2_1,
[final] ).
cnf(i_0_1253,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_add__is__1_1,
[final] ).
cnf(i_0_1254,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
cls_one__is__add_1,
[final] ).
cnf(i_0_1255,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X1)
| X3 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_no__zero__divirors__neq0_0,
[final] ).
cnf(i_0_1256,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_no__zero__divisors_0,
[final] ).
cnf(i_0_1257,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X1)
| X2 = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| c_HOL_Otimes__class_Otimes(X2,X3,X1) != c_HOL_Ozero__class_Ozero(X1) ),
cls_mult__eq__0__iff_0,
[final] ).
cnf(i_0_1258,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
cls_linorder__neqE__nat_0,
[final] ).
cnf(i_0_1259,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X2 = X1 ),
cls_nat__neq__iff_0,
[final] ).
cnf(i_0_1260,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_1261,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_1262,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_add__is__1_0,
[final] ).
cnf(i_0_1263,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_add__is__1_3,
[final] ).
cnf(i_0_1264,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
cls_one__is__add_0,
[final] ).
cnf(i_0_1265,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
cls_one__is__add_3,
[final] ).
cnf(i_0_1266,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
cls_less__Suc0_0,
[final] ).
cnf(i_0_1267,axiom,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
cls_nat__le__linear_0,
[final] ).
cnf(i_0_1268,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_1269,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) = c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),
cls_nat__mult__commute_0,
[final] ).
cnf(i_0_1270,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_1271,axiom,
( X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_mult__eq__1__iff_0,
[final] ).
cnf(i_0_1272,axiom,
( X2 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_mult__eq__1__iff_1,
[final] ).
cnf(i_0_1273,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
cls_add__is__1_2,
[final] ).
cnf(i_0_1274,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) ),
cls_one__is__add_2,
[final] ).
cnf(i_0_1275,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_1276,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_1277,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_mult__is__0_0,
[final] ).
cnf(i_0_1278,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__le_1,
[final] ).
cnf(i_0_1279,axiom,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_order__less__irrefl_0,
[final] ).
cnf(i_0_1280,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X2,X1) ),
cls_linorder__neq__iff_1,
[final] ).
cnf(i_0_1281,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_neq0__conv_1,
[final] ).
cnf(i_0_1282,axiom,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
cls_Suc__n__not__le__n_0,
[final] ).
cnf(i_0_1283,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_1284,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_1285,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_1286,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_1287,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_1288,axiom,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_not__less0_0,
[final] ).
cnf(i_0_1289,axiom,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_gr__implies__not0_0,
[final] ).
cnf(i_0_1290,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X2,X1) ),
cls_evalc__elim__cases_I1_J_0,
[final] ).
cnf(i_0_1291,axiom,
c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
cls_mult__eq__1__iff_2,
[final] ).
cnf(i_0_1292,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
cls_less__not__refl_0,
[final] ).
cnf(i_0_1293,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
cls_nat__less__le_1,
[final] ).
cnf(i_0_1294,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_1295,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_1296,axiom,
c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
cls_add__is__1_4,
[final] ).
cnf(i_0_1297,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),
cls_add__is__1_5,
[final] ).
cnf(i_0_1298,axiom,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
cls_one__is__add_4,
[final] ).
cnf(i_0_1299,axiom,
c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
cls_one__is__add_5,
[final] ).
cnf(i_0_1300,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_1301,axiom,
( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__0_0,
[final] ).
cnf(i_0_1302,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
cls_mult__zero__left_0,
[final] ).
cnf(i_0_1303,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
cls_mult__eq__0__iff_1,
[final] ).
cnf(i_0_1304,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__0_0,
[final] ).
cnf(i_0_1305,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I9_J_0,
[final] ).
cnf(i_0_1306,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Omult__zero(X1) ),
cls_mult__zero__right_0,
[final] ).
cnf(i_0_1307,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
cls_mult__eq__0__iff_2,
[final] ).
cnf(i_0_1308,axiom,
( c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Osemiring__rules_I10_J_0,
[final] ).
cnf(i_0_1309,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_1310,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_1311,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_1312,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_1313,axiom,
( c_Divides_Odiv__class_Omod(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__by__0_0,
[final] ).
cnf(i_0_1314,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_1315,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_1316,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_1317,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_1318,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
cls_less__Suc0_1,
[final] ).
cnf(i_0_1319,axiom,
c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_mod__1_0,
[final] ).
cnf(i_0_1320,axiom,
( c_Divides_Odiv__class_Omod(X2,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Divides_Osemiring__div(X1) ),
cls_mod__self_0,
[final] ).
cnf(i_0_1321,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_1322,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_1323,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_1324,axiom,
c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
cls_le__Suc__eq_2,
[final] ).
cnf(i_0_1325,axiom,
( c_Orderings_Oord__class_Omin(X2,X2,X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Oinf__idem_0,
[final] ).
cnf(i_0_1326,axiom,
( c_Orderings_Oord__class_Omax(X2,X2,X1) = X2
| ~ class_Orderings_Olinorder(X1) ),
cls_min__max_Osup__idem_0,
[final] ).
cnf(i_0_1327,axiom,
( c_HOL_Otimes__class_Otimes(X2,X2,X1) = X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
cls_mult__idem_0,
[final] ).
cnf(i_0_1328,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
cls_gr0__conv__Suc_1,
[final] ).
cnf(i_0_1329,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
cls_zero__less__Suc_0,
[final] ).
cnf(i_0_1330,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1331,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1332,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_1333,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
cls_gr0I_0,
[final] ).
cnf(i_0_1334,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_1335,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
cls_lessI_0,
[final] ).
cnf(i_0_1336,axiom,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
cls_less__Suc__eq_2,
[final] ).
cnf(i_0_1337,axiom,
c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_min__0L_0,
[final] ).
cnf(i_0_1338,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_mult__is__0_1,
[final] ).
cnf(i_0_1339,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_1340,axiom,
c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_min__0R_0,
[final] ).
cnf(i_0_1341,axiom,
c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_mult__is__0_2,
[final] ).
cnf(i_0_1342,axiom,
c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
cls_max__0L_0,
[final] ).
cnf(i_0_1343,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_1344,axiom,
c_Orderings_Oord__class_Omax(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X1,
cls_max__0R_0,
[final] ).
cnf(i_0_1345,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_1346,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_1347,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_1348,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
cls_le0_0,
[final] ).
cnf(i_0_1349,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_1350,axiom,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
cls_evalc_OSkip_0,
[final] ).
cnf(i_0_1351,axiom,
c_lessequals(X1,X1,tc_nat),
cls_eq__imp__le_0,
[final] ).
cnf(i_0_1352,axiom,
c_lessequals(X1,X1,tc_nat),
cls_le__refl_0,
[final] ).
cnf(i_0_1353,axiom,
( X1 = X3
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
cls_com_Osimps_I3_J_0,
[final] ).
cnf(i_0_1354,axiom,
( X2 = X4
| c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSemi(X3,X4) ),
cls_com_Osimps_I3_J_1,
[final] ).
cnf(i_0_1355,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OBODY(X3),
cls_com_Osimps_I48_J_0,
[final] ).
cnf(i_0_1356,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSemi(X2,X3),
cls_com_Osimps_I49_J_0,
[final] ).
cnf(i_0_1357,axiom,
c_Com_Ocom_OSemi(X1,X2) != c_Com_Ocom_OSKIP,
cls_com_Osimps_I13_J_0,
[final] ).
cnf(i_0_1358,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
cls_com_Osimps_I12_J_0,
[final] ).
cnf(i_0_1359,negated_conjecture,
~ v_fun2(v_x,v_xb),
cls_conjecture_2,
[final] ).
cnf(i_0_1360,axiom,
( X1 = X2
| c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OBODY(X2) ),
cls_com_Osimps_I6_J_0,
[final] ).
cnf(i_0_1361,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
cls_Suc__inject_0,
[final] ).
cnf(i_0_1362,axiom,
( X1 = X2
| c_Suc(X1) != c_Suc(X2) ),
cls_nat_Oinject_0,
[final] ).
cnf(i_0_1363,negated_conjecture,
v_fun1(v_x,v_xa),
cls_conjecture_0,
[final] ).
cnf(i_0_1364,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
cls_nat_Osimps_I2_J_0,
[final] ).
cnf(i_0_1365,axiom,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
cls_Zero__neq__Suc_0,
[final] ).
cnf(i_0_1366,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
cls_nat_Osimps_I3_J_0,
[final] ).
cnf(i_0_1367,axiom,
c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
cls_Suc__neq__Zero_0,
[final] ).
cnf(i_0_1368,axiom,
c_Suc(X1) != X1,
cls_Suc__n__not__n_0,
[final] ).
cnf(i_0_1369,axiom,
X1 != c_Suc(X1),
cls_n__not__Suc__n_0,
[final] ).
cnf(i_0_1370,axiom,
c_Com_Ocom_OBODY(X1) != c_Com_Ocom_OSKIP,
cls_com_Osimps_I19_J_0,
[final] ).
cnf(i_0_1371,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OBODY(X1),
cls_com_Osimps_I18_J_0,
[final] ).
cnf(i_0_1372,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring,
[final] ).
cnf(i_0_1373,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
clsarity_nat__OrderedGroup_Oab__semigroup__mult,
[final] ).
cnf(i_0_1374,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
clsarity_nat__OrderedGroup_Omonoid__add,
[final] ).
cnf(i_0_1375,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
clsarity_nat__Ring__and__Field_Opordered__semiring,
[final] ).
cnf(i_0_1376,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,
[final] ).
cnf(i_0_1377,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Ocancel__semigroup__add,
[final] ).
cnf(i_0_1378,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,
[final] ).
cnf(i_0_1379,axiom,
class_Ring__and__Field_Omult__mono1(tc_nat),
clsarity_nat__Ring__and__Field_Omult__mono1,
[final] ).
cnf(i_0_1380,axiom,
class_Ring__and__Field_Omult__mono(tc_nat),
clsarity_nat__Ring__and__Field_Omult__mono,
[final] ).
cnf(i_0_1381,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
clsarity_nat__Ring__and__Field_Oordered__semidom,
[final] ).
cnf(i_0_1382,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,
[final] ).
cnf(i_0_1383,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,
[final] ).
cnf(i_0_1384,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
clsarity_nat__Ring__and__Field_Osemiring,
[final] ).
cnf(i_0_1385,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
clsarity_nat__Ring__and__Field_Omult__zero,
[final] ).
cnf(i_0_1386,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
clsarity_nat__Ring__and__Field_Ono__zero__divisors,
[final] ).
cnf(i_0_1387,axiom,
class_Ring__and__Field_Oordered__semiring(tc_nat),
clsarity_nat__Ring__and__Field_Oordered__semiring,
[final] ).
cnf(i_0_1388,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Oab__semigroup__add,
[final] ).
cnf(i_0_1389,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1390,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1391,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,
[final] ).
cnf(i_0_1392,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,
[final] ).
cnf(i_0_1393,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1394,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,
[final] ).
cnf(i_0_1395,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
clsarity_nat__Ring__and__Field_Oordered__semiring__strict,
[final] ).
cnf(i_0_1396,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
clsarity_nat__OrderedGroup_Ocomm__monoid__add,
[final] ).
cnf(i_0_1397,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
clsarity_nat__Ring__and__Field_Ocomm__semiring__1,
[final] ).
cnf(i_0_1398,axiom,
class_Divides_Osemiring__div(tc_nat),
clsarity_nat__Divides_Osemiring__div,
[final] ).
cnf(i_0_1399,axiom,
X1 = X1 ).
cnf(i_0_1400,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1401,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1402,axiom,
( X1 != X2
| c_Suc(X1) = c_Suc(X2) ) ).
cnf(i_0_1403,axiom,
( X1 != X2
| c_Com_Ocom_OBODY(X1) = c_Com_Ocom_OBODY(X2) ) ).
cnf(i_0_1404,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).
cnf(i_0_1405,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).
cnf(i_0_1406,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).
cnf(i_0_1407,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X1,X3,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ) ).
cnf(i_0_1408,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X1,X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ) ).
cnf(i_0_1409,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X4,X1) = c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ).
cnf(i_0_1410,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1411,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1412,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1413,axiom,
( X1 != X2
| c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).
cnf(i_0_1414,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X1,X3,X4) = c_Divides_Odiv__class_Omod(X2,X3,X4) ) ).
cnf(i_0_1415,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X1,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ) ).
cnf(i_0_1416,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X4,X1) = c_Divides_Odiv__class_Omod(X3,X4,X2) ) ).
cnf(i_0_1417,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).
cnf(i_0_1418,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).
cnf(i_0_1419,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X1,X3,X4) = c_Orderings_Oord__class_Omax(X2,X3,X4) ) ).
cnf(i_0_1420,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X1,X4) = c_Orderings_Oord__class_Omax(X3,X2,X4) ) ).
cnf(i_0_1421,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X4,X1) = c_Orderings_Oord__class_Omax(X3,X4,X2) ) ).
cnf(i_0_1422,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X1,X3,X4) = c_Orderings_Oord__class_Omin(X2,X3,X4) ) ).
cnf(i_0_1423,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X3,X1,X4) = c_Orderings_Oord__class_Omin(X3,X2,X4) ) ).
cnf(i_0_1424,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X3,X4,X1) = c_Orderings_Oord__class_Omin(X3,X4,X2) ) ).
cnf(i_0_1425,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X1,X3,X4,X5)
| c_Natural_Oevaln(X2,X3,X4,X5) ) ).
cnf(i_0_1426,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X1,X4,X5)
| c_Natural_Oevaln(X3,X2,X4,X5) ) ).
cnf(i_0_1427,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ) ).
cnf(i_0_1428,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X5,X1)
| c_Natural_Oevaln(X3,X4,X5,X2) ) ).
cnf(i_0_1429,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_1430,axiom,
( X1 != X2
| ~ class_Divides_Osemiring__div(X1)
| class_Divides_Osemiring__div(X2) ) ).
cnf(i_0_1431,axiom,
( X1 != X2
| ~ class_Divides_Oring__div(X1)
| class_Divides_Oring__div(X2) ) ).
cnf(i_0_1432,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_1433,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).
cnf(i_0_1434,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X2) ) ).
cnf(i_0_1435,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| class_Ring__and__Field_Oordered__semiring(X2) ) ).
cnf(i_0_1436,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1437,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_1438,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).
cnf(i_0_1439,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1440,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1441,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1442,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono1(X1)
| class_Ring__and__Field_Omult__mono1(X2) ) ).
cnf(i_0_1443,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono(X1)
| class_Ring__and__Field_Omult__mono(X2) ) ).
cnf(i_0_1444,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1445,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_1446,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X1,X3,X4)
| c_Natural_Oevalc(X2,X3,X4) ) ).
cnf(i_0_1447,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X1,X4)
| c_Natural_Oevalc(X3,X2,X4) ) ).
cnf(i_0_1448,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| c_Natural_Oevalc(X3,X4,X2) ) ).
cnf(i_0_1449,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X2) ) ).
cnf(i_0_1450,axiom,
( X1 != X2
| ~ v_fun2(X1,X3)
| v_fun2(X2,X3) ) ).
cnf(i_0_1451,axiom,
( X1 != X2
| ~ v_fun2(X3,X1)
| v_fun2(X3,X2) ) ).
cnf(i_0_1452,axiom,
( X1 != X2
| ~ v_fun1(X1,X3)
| v_fun1(X2,X3) ) ).
cnf(i_0_1453,axiom,
( X1 != X2
| ~ v_fun1(X3,X1)
| v_fun1(X3,X2) ) ).
cnf(i_0_1454,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1455,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).
cnf(i_0_1456,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1457,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1458,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1459,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).
cnf(i_0_1460,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1461,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semidom(X2) ) ).
cnf(i_0_1462,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1463,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1464,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_1465,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X2) ) ).
cnf(i_0_1466,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1467,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1468,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).
cnf(i_0_1469,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X2) ) ).
cnf(i_0_1470,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_1471,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1472,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1473,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| class_Ring__and__Field_Ono__zero__divisors(X2) ) ).
cnf(i_0_1474,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| class_Ring__and__Field_Oring__no__zero__divisors(X2) ) ).
cnf(i_0_1475,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__zero(X1)
| class_Ring__and__Field_Omult__zero(X2) ) ).
cnf(i_0_1476,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__add(X1)
| class_OrderedGroup_Omonoid__add(X2) ) ).
cnf(i_0_1477,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__ring__strict(X2) ) ).
cnf(i_0_1478,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_1479,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1480,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring(X1)
| class_Ring__and__Field_Osemiring(X2) ) ).
cnf(i_0_1481,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_1399_001,axiom,
X1 = X1 ).
cnf(i_0_1400_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1401_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1402_004,axiom,
( X1 != X2
| c_Suc(X1) = c_Suc(X2) ) ).
cnf(i_0_1403_005,axiom,
( X1 != X2
| c_Com_Ocom_OBODY(X1) = c_Com_Ocom_OBODY(X2) ) ).
cnf(i_0_1404_006,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X1,X3,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ) ).
cnf(i_0_1405_007,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X1,X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ) ).
cnf(i_0_1406_008,axiom,
( X1 != X2
| c_HOL_Oplus__class_Oplus(X3,X4,X1) = c_HOL_Oplus__class_Oplus(X3,X4,X2) ) ).
cnf(i_0_1407_009,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X1,X3,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ) ).
cnf(i_0_1408_010,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X1,X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ) ).
cnf(i_0_1409_011,axiom,
( X1 != X2
| c_HOL_Otimes__class_Otimes(X3,X4,X1) = c_HOL_Otimes__class_Otimes(X3,X4,X2) ) ).
cnf(i_0_1410_012,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1411_013,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1412_014,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1413_015,axiom,
( X1 != X2
| c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ozero__class_Ozero(X2) ) ).
cnf(i_0_1414_016,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X1,X3,X4) = c_Divides_Odiv__class_Omod(X2,X3,X4) ) ).
cnf(i_0_1415_017,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X1,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ) ).
cnf(i_0_1416_018,axiom,
( X1 != X2
| c_Divides_Odiv__class_Omod(X3,X4,X1) = c_Divides_Odiv__class_Omod(X3,X4,X2) ) ).
cnf(i_0_1417_019,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X1,X3) = c_Com_Ocom_OSemi(X2,X3) ) ).
cnf(i_0_1418_020,axiom,
( X1 != X2
| c_Com_Ocom_OSemi(X3,X1) = c_Com_Ocom_OSemi(X3,X2) ) ).
cnf(i_0_1419_021,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X1,X3,X4) = c_Orderings_Oord__class_Omax(X2,X3,X4) ) ).
cnf(i_0_1420_022,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X1,X4) = c_Orderings_Oord__class_Omax(X3,X2,X4) ) ).
cnf(i_0_1421_023,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omax(X3,X4,X1) = c_Orderings_Oord__class_Omax(X3,X4,X2) ) ).
cnf(i_0_1422_024,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X1,X3,X4) = c_Orderings_Oord__class_Omin(X2,X3,X4) ) ).
cnf(i_0_1423_025,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X3,X1,X4) = c_Orderings_Oord__class_Omin(X3,X2,X4) ) ).
cnf(i_0_1424_026,axiom,
( X1 != X2
| c_Orderings_Oord__class_Omin(X3,X4,X1) = c_Orderings_Oord__class_Omin(X3,X4,X2) ) ).
cnf(i_0_1425_027,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X1,X3,X4,X5)
| c_Natural_Oevaln(X2,X3,X4,X5) ) ).
cnf(i_0_1426_028,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X1,X4,X5)
| c_Natural_Oevaln(X3,X2,X4,X5) ) ).
cnf(i_0_1427_029,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ) ).
cnf(i_0_1428_030,axiom,
( X1 != X2
| ~ c_Natural_Oevaln(X3,X4,X5,X1)
| c_Natural_Oevaln(X3,X4,X5,X2) ) ).
cnf(i_0_1429_031,axiom,
( X1 != X2
| ~ class_Int_Onumber__ring(X1)
| class_Int_Onumber__ring(X2) ) ).
cnf(i_0_1430_032,axiom,
( X1 != X2
| ~ class_Divides_Osemiring__div(X1)
| class_Divides_Osemiring__div(X2) ) ).
cnf(i_0_1431_033,axiom,
( X1 != X2
| ~ class_Divides_Oring__div(X1)
| class_Divides_Oring__div(X2) ) ).
cnf(i_0_1432_034,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(X2) ) ).
cnf(i_0_1433_035,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| class_Ring__and__Field_Oordered__semiring__strict(X2) ) ).
cnf(i_0_1434_036,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| class_Ring__and__Field_Opordered__semiring(X2) ) ).
cnf(i_0_1435_037,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semiring(X1)
| class_Ring__and__Field_Oordered__semiring(X2) ) ).
cnf(i_0_1436_038,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1437_039,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ) ).
cnf(i_0_1438_040,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ) ).
cnf(i_0_1439_041,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X2,X3,X4) ) ).
cnf(i_0_1440_042,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X1,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4) ) ).
cnf(i_0_1441_043,axiom,
( X1 != X2
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| c_HOL_Oord__class_Oless(X3,X4,X2) ) ).
cnf(i_0_1442_044,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono1(X1)
| class_Ring__and__Field_Omult__mono1(X2) ) ).
cnf(i_0_1443_045,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__mono(X1)
| class_Ring__and__Field_Omult__mono(X2) ) ).
cnf(i_0_1444_046,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1445_047,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(X2) ) ).
cnf(i_0_1446_048,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X1,X3,X4)
| c_Natural_Oevalc(X2,X3,X4) ) ).
cnf(i_0_1447_049,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X1,X4)
| c_Natural_Oevalc(X3,X2,X4) ) ).
cnf(i_0_1448_050,axiom,
( X1 != X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| c_Natural_Oevalc(X3,X4,X2) ) ).
cnf(i_0_1449_051,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ocomm__semiring(X1)
| class_Ring__and__Field_Ocomm__semiring(X2) ) ).
cnf(i_0_1450_052,axiom,
( X1 != X2
| ~ v_fun2(X1,X3)
| v_fun2(X2,X3) ) ).
cnf(i_0_1451_053,axiom,
( X1 != X2
| ~ v_fun2(X3,X1)
| v_fun2(X3,X2) ) ).
cnf(i_0_1452_054,axiom,
( X1 != X2
| ~ v_fun1(X1,X3)
| v_fun1(X2,X3) ) ).
cnf(i_0_1453_055,axiom,
( X1 != X2
| ~ v_fun1(X3,X1)
| v_fun1(X3,X2) ) ).
cnf(i_0_1454_056,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1455_057,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X2) ) ).
cnf(i_0_1456_058,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1457_059,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1458_060,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1459_061,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(X2) ) ).
cnf(i_0_1460_062,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(X2) ) ).
cnf(i_0_1461_063,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__semidom(X1)
| class_Ring__and__Field_Oordered__semidom(X2) ) ).
cnf(i_0_1462_064,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| class_OrderedGroup_Olordered__ab__group__add(X2) ) ).
cnf(i_0_1463_065,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_1464_066,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__add(X1)
| class_OrderedGroup_Oab__semigroup__add(X2) ) ).
cnf(i_0_1465_067,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__mult(X1)
| class_OrderedGroup_Oab__semigroup__mult(X2) ) ).
cnf(i_0_1466_068,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1467_069,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1468_070,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
| class_OrderedGroup_Oab__semigroup__idem__mult(X2) ) ).
cnf(i_0_1469_071,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Opordered__ring(X1)
| class_Ring__and__Field_Opordered__ring(X2) ) ).
cnf(i_0_1470_072,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__semigroup__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(X2) ) ).
cnf(i_0_1471_073,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ) ).
cnf(i_0_1472_074,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1473_075,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ono__zero__divisors(X1)
| class_Ring__and__Field_Ono__zero__divisors(X2) ) ).
cnf(i_0_1474_076,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
| class_Ring__and__Field_Oring__no__zero__divisors(X2) ) ).
cnf(i_0_1475_077,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Omult__zero(X1)
| class_Ring__and__Field_Omult__zero(X2) ) ).
cnf(i_0_1476_078,axiom,
( X1 != X2
| ~ class_OrderedGroup_Omonoid__add(X1)
| class_OrderedGroup_Omonoid__add(X2) ) ).
cnf(i_0_1477_079,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| class_Ring__and__Field_Oordered__ring__strict(X2) ) ).
cnf(i_0_1478_080,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oring(X1)
| class_Ring__and__Field_Oring(X2) ) ).
cnf(i_0_1479_081,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1480_082,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Osemiring(X1)
| class_Ring__and__Field_Osemiring(X2) ) ).
cnf(i_0_1481_083,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(X2) ) ).
cnf(i_0_1482,plain,
( ~ c_lessequals(X1,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat) = X3 ),
inference(equality_inference,[],[730]) ).
cnf(i_0_1483,plain,
( ~ c_lessequals(X1,X1,tc_nat)
| X2 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X3,tc_nat),X2,tc_nat) ),
inference(equality_inference,[],[731]) ).
cnf(i_0_1484,plain,
( ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,X1),X3,X1),X4,X1) = X4 ),
inference(equality_inference,[],[735]) ).
cnf(i_0_1485,plain,
( ~ class_Ring__and__Field_Oring(X1)
| X2 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X3,X1),X4,X1),X2,X1) ),
inference(equality_inference,[],[736]) ).
cnf(i_0_1486,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| X3 = X4
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[739]) ).
cnf(i_0_1487,plain,
( X1 = X1
| X2 = X3 ),
inference(equality_inference,[],[742]) ).
cnf(i_0_1488,plain,
c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(X1,X2,tc_nat),
inference(equality_inference,[],[766]) ).
cnf(i_0_1489,plain,
( ~ class_Ring__and__Field_Oidom(X1)
| ~ class_Int_Onumber__ring(X1)
| X2 = X2
| X3 = c_HOL_Ozero__class_Ozero(X1) ),
inference(equality_inference,[],[802]) ).
cnf(i_0_1490,plain,
( X1 = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(equality_inference,[],[812]) ).
cnf(i_0_1491,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,[],[896]) ).
cnf(i_0_1492,plain,
( X1 = X1
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(equality_inference,[],[981]) ).
cnf(i_0_1493,plain,
( X1 = X1
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
inference(equality_inference,[],[1063]) ).
cnf(i_0_1494,plain,
( ~ class_Int_Onumber__ring(X1)
| X2 = X2
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(equality_inference,[],[1127]) ).
cnf(i_0_1495,plain,
X1 = X1,
inference(equality_inference,[],[1128]) ).
cnf(i_0_1496,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1133]) ).
cnf(i_0_1497,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[1134]) ).
cnf(i_0_1498,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
inference(equality_inference,[],[1135]) ).
cnf(i_0_1499,plain,
( X1 = X1
| ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
inference(equality_inference,[],[1136]) ).
cnf(i_0_1500,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1137]) ).
cnf(i_0_1501,plain,
( X1 = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(equality_inference,[],[1154]) ).
cnf(i_0_1502,plain,
( X1 = X1
| X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(equality_inference,[],[1156]) ).
cnf(i_0_1503,plain,
X1 = X1,
inference(equality_inference,[],[1168]) ).
cnf(i_0_1504,plain,
X1 = X1,
inference(equality_inference,[],[1170]) ).
cnf(i_0_1505,plain,
X1 = X1,
inference(equality_inference,[],[1353]) ).
cnf(i_0_1506,plain,
X1 = X1,
inference(equality_inference,[],[1354]) ).
cnf(i_0_1507,plain,
X1 = X1,
inference(equality_inference,[],[1360]) ).
cnf(i_0_1508,plain,
X1 = X1,
inference(equality_inference,[],[1362]) ).
cnf(i_0_1509,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_HOL_Ozero__class_Ozero(tc_nat),X3),
inference(scs_inference,[],[i_0_1365,i_0_734]) ).
cnf(i_0_1510,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
inference(rename_variables,[],[i_0_1365]) ).
cnf(i_0_1511,plain,
( X1 = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X2,X1,X3,X4))
| ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X2),X3,X1,X4) ),
inference(rename_variables,[],[i_0_734]) ).
cnf(i_0_1512,plain,
c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1268,i_0_1365,i_0_734,i_0_766]) ).
cnf(i_0_1513,plain,
c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) = c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),
inference(rename_variables,[],[i_0_1268]) ).
cnf(i_0_1514,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X2,X5,tc_nat),tc_nat)
| c_Divides_Odiv__class_Omod(X1,X2,tc_nat) = c_Divides_Odiv__class_Omod(X4,X2,tc_nat) ),
inference(rename_variables,[],[i_0_766]) ).
cnf(i_0_1515,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1268,i_0_1365,i_0_734,i_0_766,i_0_893]) ).
cnf(i_0_1516,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1517,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1518,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895]) ).
cnf(i_0_1519,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1520,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_895]) ).
cnf(i_0_1521,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1293,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018]) ).
cnf(i_0_1522,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1523,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_1018]) ).
cnf(i_0_1524,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1293,i_0_1522,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019]) ).
cnf(i_0_1525,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1526,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_1019]) ).
cnf(i_0_1527,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1183,i_0_1293,i_0_1522,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044]) ).
cnf(i_0_1528,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1529,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1530,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045]) ).
cnf(i_0_1531,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1532,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1045]) ).
cnf(i_0_1533,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088]) ).
cnf(i_0_1534,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1535,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X1,tc_nat) ),
inference(rename_variables,[],[i_0_1088]) ).
cnf(i_0_1536,plain,
~ c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1282,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101]) ).
cnf(i_0_1537,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1538,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1101]) ).
cnf(i_0_1539,plain,
~ c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103]) ).
cnf(i_0_1540,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1541,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1103]) ).
cnf(i_0_1542,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199]) ).
cnf(i_0_1543,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1199]) ).
cnf(i_0_1544,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213]) ).
cnf(i_0_1545,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1546,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1213]) ).
cnf(i_0_1547,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220]) ).
cnf(i_0_1548,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1549,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1220]) ).
cnf(i_0_1550,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1176,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221]) ).
cnf(i_0_1551,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1552,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1221]) ).
cnf(i_0_1553,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1176,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228]) ).
cnf(i_0_1554,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1228]) ).
cnf(i_0_1555,plain,
c_lessequals(c_Suc(X1),c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1176,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267]) ).
cnf(i_0_1556,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1267]) ).
cnf(i_0_1557,plain,
c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1176,i_0_1293,i_0_1522,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283]) ).
cnf(i_0_1558,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1178]) ).
cnf(i_0_1559,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(rename_variables,[],[i_0_1283]) ).
cnf(i_0_1560,plain,
c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != X1,
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1176,i_0_1293,i_0_1522,i_0_1368,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286]) ).
cnf(i_0_1561,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_1562,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1563,plain,
X1 != c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1176,i_0_1293,i_0_1522,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287]) ).
cnf(i_0_1564,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_1565,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1566,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat) = X3,
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1176,i_0_1293,i_0_1522,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482]) ).
cnf(i_0_1567,plain,
( ~ c_lessequals(X1,X1,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat) = X3 ),
inference(rename_variables,[],[i_0_1482]) ).
cnf(i_0_1568,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1176,i_0_1293,i_0_1522,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483]) ).
cnf(i_0_1569,plain,
( ~ c_lessequals(X1,X1,tc_nat)
| X2 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X3,tc_nat),X2,tc_nat) ),
inference(rename_variables,[],[i_0_1483]) ).
cnf(i_0_1570,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400]) ).
cnf(i_0_1571,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820]) ).
cnf(i_0_1572,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1573,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_820]) ).
cnf(i_0_1574,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821]) ).
cnf(i_0_1575,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1576,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_821]) ).
cnf(i_0_1577,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1173,i_0_1365,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894]) ).
cnf(i_0_1578,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1579,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_894]) ).
cnf(i_0_1580,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043]) ).
cnf(i_0_1581,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_1582,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1043]) ).
cnf(i_0_1583,plain,
c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087]) ).
cnf(i_0_1584,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1585,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X1,tc_nat) ),
inference(rename_variables,[],[i_0_1087]) ).
cnf(i_0_1586,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095]) ).
cnf(i_0_1587,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1588,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1095]) ).
cnf(i_0_1589,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1084,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097]) ).
cnf(i_0_1590,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1084]) ).
cnf(i_0_1591,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1097]) ).
cnf(i_0_1592,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099]) ).
cnf(i_0_1593,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1084]) ).
cnf(i_0_1594,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1099]) ).
cnf(i_0_1595,plain,
~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147]) ).
cnf(i_0_1596,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1597,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1147]) ).
cnf(i_0_1598,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148]) ).
cnf(i_0_1599,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1148]) ).
cnf(i_0_1600,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184]) ).
cnf(i_0_1601,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_1602,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1184]) ).
cnf(i_0_1603,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210]) ).
cnf(i_0_1604,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1605,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1210]) ).
cnf(i_0_1606,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212]) ).
cnf(i_0_1607,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1608,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1212]) ).
cnf(i_0_1609,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218]) ).
cnf(i_0_1610,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1611,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1218]) ).
cnf(i_0_1612,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219]) ).
cnf(i_0_1613,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_1614,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1219]) ).
cnf(i_0_1615,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1178,i_0_1349,i_0_1176,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250]) ).
cnf(i_0_1616,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_1617,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1250]) ).
cnf(i_0_1618,plain,
~ v_fun2(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,v_x,tc_nat),X1,tc_nat),v_xb),
inference(scs_inference,[],[i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1178,i_0_1349,i_0_1176,i_0_1551,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450]) ).
cnf(i_0_1619,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1620,plain,
c_Natural_Oevaln(v_com,v_xa,c_HOL_Otimes__class_Otimes(v_n,v_n,tc_nat),v_xb),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1349,i_0_1176,i_0_1551,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747]) ).
cnf(i_0_1621,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1622,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ),
inference(rename_variables,[],[i_0_747]) ).
cnf(i_0_1623,plain,
~ c_Natural_Oevaln(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Com_Ocom_OBODY(X2),tc_nat),X1,tc_nat),X3,c_HOL_Ozero__class_Ozero(tc_nat),X4),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425]) ).
cnf(i_0_1624,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1625,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_HOL_Ominus__class_Ominus(X3,X3,tc_nat),X4),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427]) ).
cnf(i_0_1626,plain,
~ v_fun2(v_x,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,v_xb,tc_nat),X1,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451]) ).
cnf(i_0_1627,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1628,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703]) ).
cnf(i_0_1629,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1630,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_703]) ).
cnf(i_0_1631,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1558,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705]) ).
cnf(i_0_1632,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1178]) ).
cnf(i_0_1633,plain,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_705]) ).
cnf(i_0_1634,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(X3),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1558,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711]) ).
cnf(i_0_1635,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_1636,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1558,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713]) ).
cnf(i_0_1637,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1638,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_713]) ).
cnf(i_0_1639,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1558,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730]) ).
cnf(i_0_1640,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1641,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat) = X5
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_730]) ).
cnf(i_0_1642,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1178,i_0_1558,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731]) ).
cnf(i_0_1643,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_1644,plain,
( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_731]) ).
cnf(i_0_1645,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),X1,tc_nat),X1,tc_nat),c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813]) ).
cnf(i_0_1646,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1647,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_813]) ).
cnf(i_0_1648,plain,
c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X1,tc_nat),X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814]) ).
cnf(i_0_1649,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1650,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1651,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_814]) ).
cnf(i_0_1652,plain,
c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817]) ).
cnf(i_0_1653,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_817]) ).
cnf(i_0_1654,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023]) ).
cnf(i_0_1655,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1656,plain,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1023]) ).
cnf(i_0_1657,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025]) ).
cnf(i_0_1658,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1659,plain,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1025]) ).
cnf(i_0_1660,plain,
c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029]) ).
cnf(i_0_1661,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1662,plain,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1029]) ).
cnf(i_0_1663,plain,
c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031]) ).
cnf(i_0_1664,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1665,plain,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1031]) ).
cnf(i_0_1666,plain,
~ c_lessequals(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077]) ).
cnf(i_0_1667,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1668,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1077]) ).
cnf(i_0_1669,plain,
~ c_lessequals(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079]) ).
cnf(i_0_1670,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1671,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1079]) ).
cnf(i_0_1672,plain,
~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X1),c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1368,i_0_1561,i_0_1564,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121]) ).
cnf(i_0_1673,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_946]) ).
cnf(i_0_1674,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1675,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,c_Suc(X1)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1181,i_0_1629,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151]) ).
cnf(i_0_1676,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_1677,plain,
( ~ c_Natural_Oevalc(X1,X2,X3)
| X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_1678,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159]) ).
cnf(i_0_1679,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1178]) ).
cnf(i_0_1680,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1348]) ).
cnf(i_0_1681,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| X2 = X1 ),
inference(rename_variables,[],[i_0_1159]) ).
cnf(i_0_1682,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205]) ).
cnf(i_0_1683,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1057]) ).
cnf(i_0_1684,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_1685,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206]) ).
cnf(i_0_1686,plain,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1173]) ).
cnf(i_0_1687,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1688,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X2 = X1 ),
inference(rename_variables,[],[i_0_1206]) ).
cnf(i_0_1689,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),X1,tc_nat),X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),X1,tc_nat),X2,tc_nat),c_Suc(X3),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239]) ).
cnf(i_0_1690,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1239]) ).
cnf(i_0_1691,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240]) ).
cnf(i_0_1692,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1240]) ).
cnf(i_0_1693,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259]) ).
cnf(i_0_1694,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1695,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_1696,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),X1,tc_nat),tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273]) ).
cnf(i_0_1697,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_1698,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
| X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(rename_variables,[],[i_0_1273]) ).
cnf(i_0_1699,plain,
~ class_OrderedGroup_Oab__group__add(tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1175,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275]) ).
cnf(i_0_1700,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(rename_variables,[],[i_0_1175]) ).
cnf(i_0_1701,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(rename_variables,[],[i_0_1275]) ).
cnf(i_0_1702,plain,
~ class_OrderedGroup_Ogroup__add(tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276]) ).
cnf(i_0_1703,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(rename_variables,[],[i_0_1175]) ).
cnf(i_0_1704,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| X1 = X2
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(rename_variables,[],[i_0_1276]) ).
cnf(i_0_1705,plain,
c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)) != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401]) ).
cnf(i_0_1706,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_1707,plain,
~ c_Natural_Oevalc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Com_Ocom_OSKIP,tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446]) ).
cnf(i_0_1708,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1709,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447]) ).
cnf(i_0_1710,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448]) ).
cnf(i_0_1711,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1712,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X1,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456]) ).
cnf(i_0_1713,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1714,plain,
~ c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457]) ).
cnf(i_0_1715,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1716,plain,
~ c_lessequals(c_Suc(X1),X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458]) ).
cnf(i_0_1717,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1718,plain,
class_Divides_Osemiring__div(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430]) ).
cnf(i_0_1719,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1720,plain,
class_Ring__and__Field_Ocomm__semiring__1(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432]) ).
cnf(i_0_1721,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1722,plain,
class_Ring__and__Field_Oordered__semiring__strict(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433]) ).
cnf(i_0_1723,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1724,plain,
class_Ring__and__Field_Opordered__semiring(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434]) ).
cnf(i_0_1725,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1726,plain,
class_Ring__and__Field_Oordered__semiring(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435]) ).
cnf(i_0_1727,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1728,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437]) ).
cnf(i_0_1729,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1730,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438]) ).
cnf(i_0_1731,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1732,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439]) ).
cnf(i_0_1733,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1734,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440]) ).
cnf(i_0_1735,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1084]) ).
cnf(i_0_1736,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441]) ).
cnf(i_0_1737,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1738,plain,
class_Ring__and__Field_Omult__mono1(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1379,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442]) ).
cnf(i_0_1739,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1740,plain,
class_Ring__and__Field_Omult__mono(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443]) ).
cnf(i_0_1741,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1742,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1382,i_0_1387,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444]) ).
cnf(i_0_1743,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1744,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1382,i_0_1387,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445]) ).
cnf(i_0_1745,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1746,plain,
class_Ring__and__Field_Ocomm__semiring(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1382,i_0_1387,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449]) ).
cnf(i_0_1747,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1748,plain,
class_Ring__and__Field_Opordered__cancel__semiring(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1382,i_0_1383,i_0_1387,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455]) ).
cnf(i_0_1749,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1750,plain,
class_OrderedGroup_Opordered__comm__monoid__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1382,i_0_1383,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459]) ).
cnf(i_0_1751,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1752,plain,
class_OrderedGroup_Ocomm__monoid__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1382,i_0_1383,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460]) ).
cnf(i_0_1753,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1754,plain,
class_Ring__and__Field_Oordered__semidom(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461]) ).
cnf(i_0_1755,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1756,plain,
class_Ring__and__Field_Omult__zero(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475]) ).
cnf(i_0_1757,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1758,plain,
class_OrderedGroup_Omonoid__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476]) ).
cnf(i_0_1759,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1760,plain,
class_Orderings_Olinorder(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479]) ).
cnf(i_0_1761,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1762,plain,
class_Ring__and__Field_Osemiring(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480]) ).
cnf(i_0_1763,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1764,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702]) ).
cnf(i_0_1765,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1766,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_702]) ).
cnf(i_0_1767,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(X3),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704]) ).
cnf(i_0_1768,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_704]) ).
cnf(i_0_1769,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710]) ).
cnf(i_0_1770,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1771,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_1772,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712]) ).
cnf(i_0_1773,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1774,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_712]) ).
cnf(i_0_1775,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725]) ).
cnf(i_0_1776,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_1777,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1778,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X3,tc_nat),tc_nat),X4,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
inference(rename_variables,[],[i_0_725]) ).
cnf(i_0_1779,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X3),tc_nat),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876]) ).
cnf(i_0_1780,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_1781,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949]) ).
cnf(i_0_1782,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(rename_variables,[],[i_0_949]) ).
cnf(i_0_1783,plain,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982]) ).
cnf(i_0_1784,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1785,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat) ),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_1786,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020]) ).
cnf(i_0_1787,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1788,plain,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1020]) ).
cnf(i_0_1789,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Orderings_Oord__class_Omax(X2,X1,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021]) ).
cnf(i_0_1790,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1791,plain,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1021]) ).
cnf(i_0_1792,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042]) ).
cnf(i_0_1793,plain,
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),
inference(rename_variables,[],[i_0_1035]) ).
cnf(i_0_1794,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
inference(rename_variables,[],[i_0_1042]) ).
cnf(i_0_1795,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060]) ).
cnf(i_0_1796,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1797,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1060]) ).
cnf(i_0_1798,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065]) ).
cnf(i_0_1799,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1800,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1065]) ).
cnf(i_0_1801,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067]) ).
cnf(i_0_1802,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1803,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_1804,plain,
~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073]) ).
cnf(i_0_1805,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1806,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1073]) ).
cnf(i_0_1807,plain,
~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075]) ).
cnf(i_0_1808,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1809,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1075]) ).
cnf(i_0_1810,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138]) ).
cnf(i_0_1811,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1138]) ).
cnf(i_0_1812,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140]) ).
cnf(i_0_1813,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1140]) ).
cnf(i_0_1814,plain,
~ c_lessequals(c_Suc(X1),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141]) ).
cnf(i_0_1815,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1141]) ).
cnf(i_0_1816,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142]) ).
cnf(i_0_1817,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1142]) ).
cnf(i_0_1818,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145]) ).
cnf(i_0_1819,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_1820,plain,
class_OrderedGroup_Oab__semigroup__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464]) ).
cnf(i_0_1821,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1822,plain,
class_OrderedGroup_Oab__semigroup__mult(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465]) ).
cnf(i_0_1823,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1824,plain,
class_Orderings_Oorder(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466]) ).
cnf(i_0_1825,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1826,plain,
class_Orderings_Opreorder(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467]) ).
cnf(i_0_1827,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1828,plain,
class_OrderedGroup_Ocancel__semigroup__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470]) ).
cnf(i_0_1829,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1830,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471]) ).
cnf(i_0_1831,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1832,plain,
class_Ring__and__Field_Ono__zero__divisors(c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473]) ).
cnf(i_0_1833,plain,
X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1347]) ).
cnf(i_0_1834,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X1,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762]) ).
cnf(i_0_1835,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1836,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_1837,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_1838,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832]) ).
cnf(i_0_1839,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1840,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_1841,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1650,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833]) ).
cnf(i_0_1842,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1843,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_833]) ).
cnf(i_0_1844,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1650,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835]) ).
cnf(i_0_1845,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_1846,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_835]) ).
cnf(i_0_1847,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1181,i_0_1629,i_0_1650,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924]) ).
cnf(i_0_1848,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1849,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(rename_variables,[],[i_0_924]) ).
cnf(i_0_1850,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1181,i_0_1629,i_0_1650,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926]) ).
cnf(i_0_1851,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1178]) ).
cnf(i_0_1852,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1853,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(rename_variables,[],[i_0_926]) ).
cnf(i_0_1854,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932]) ).
cnf(i_0_1855,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1178]) ).
cnf(i_0_1856,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(rename_variables,[],[i_0_932]) ).
cnf(i_0_1857,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),tc_nat) = X1,
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981]) ).
cnf(i_0_1858,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1859,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1860,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1861,plain,
( 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)
| X1 = X3 ),
inference(rename_variables,[],[i_0_981]) ).
cnf(i_0_1862,plain,
c_HOL_Ominus__class_Ominus(X1,X1,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X1,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1289,i_0_1687,i_0_1694,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132]) ).
cnf(i_0_1863,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_1132]) ).
cnf(i_0_1864,plain,
~ c_lessequals(c_Suc(X1),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192]) ).
cnf(i_0_1865,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1866,plain,
( X1 = X2
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1192]) ).
cnf(i_0_1867,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233]) ).
cnf(i_0_1868,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_1869,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845]) ).
cnf(i_0_1870,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1871,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846]) ).
cnf(i_0_1872,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1084]) ).
cnf(i_0_1873,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_846]) ).
cnf(i_0_1874,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847]) ).
cnf(i_0_1875,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_847]) ).
cnf(i_0_1876,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933]) ).
cnf(i_0_1877,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_933]) ).
cnf(i_0_1878,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934]) ).
cnf(i_0_1879,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1880,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_934]) ).
cnf(i_0_1881,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936]) ).
cnf(i_0_1882,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(rename_variables,[],[i_0_936]) ).
cnf(i_0_1883,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958]) ).
cnf(i_0_1884,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1885,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_1886,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_958]) ).
cnf(i_0_1887,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760]) ).
cnf(i_0_1888,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1889,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1890,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X5,X1)
| ~ c_lessequals(X4,X3,X1) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_1891,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_HOL_Ozero__class_Ozero(tc_nat),X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850]) ).
cnf(i_0_1892,plain,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_1893,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965]) ).
cnf(i_0_1894,plain,
( 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) ),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_1895,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185]) ).
cnf(i_0_1896,plain,
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1185]) ).
cnf(i_0_1897,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214]) ).
cnf(i_0_1898,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1214]) ).
cnf(i_0_1899,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248]) ).
cnf(i_0_1900,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1248]) ).
cnf(i_0_1901,plain,
c_lessequals(X1,X1,c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330]) ).
cnf(i_0_1902,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1330]) ).
cnf(i_0_1903,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198]) ).
cnf(i_0_1904,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_1905,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426]) ).
cnf(i_0_1906,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_HOL_Ozero__class_Ozero(tc_nat),X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428]) ).
cnf(i_0_1907,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat) = X2,
inference(rename_variables,[],[i_0_1176]) ).
cnf(i_0_1908,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),tc_nat) ),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707]) ).
cnf(i_0_1909,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1910,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(rename_variables,[],[i_0_707]) ).
cnf(i_0_1911,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X1,tc_nat) = X1,
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224]) ).
cnf(i_0_1912,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1085]) ).
cnf(i_0_1913,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1224]) ).
cnf(i_0_1914,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911]) ).
cnf(i_0_1915,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1336]) ).
cnf(i_0_1916,plain,
( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat) ),
inference(rename_variables,[],[i_0_911]) ).
cnf(i_0_1917,plain,
c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1888,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911,i_0_1126]) ).
cnf(i_0_1918,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1919,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1126]) ).
cnf(i_0_1920,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),X2,tc_nat),X4,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat) ),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1909,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1888,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911,i_0_1126,i_0_709]) ).
cnf(i_0_1921,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_1922,plain,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(rename_variables,[],[i_0_709]) ).
cnf(i_0_1923,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),tc_nat),tc_nat) ),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1909,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1888,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911,i_0_1126,i_0_709,i_0_715]) ).
cnf(i_0_1924,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(rename_variables,[],[i_0_715]) ).
cnf(i_0_1925,plain,
( ~ class_Ring__and__Field_Opordered__ring(tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,tc_nat),X2,tc_nat),X4,tc_nat)),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,tc_nat),X4,tc_nat),tc_nat) ),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1909,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1888,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911,i_0_1126,i_0_709,i_0_715,i_0_717]) ).
cnf(i_0_1926,plain,
~ c_lessequals(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1282]) ).
cnf(i_0_1927,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(rename_variables,[],[i_0_717]) ).
cnf(i_0_1928,plain,
( ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),X4,X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X3,X1),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X5,X1),X3,X1),X4,X1)),X1) ),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1909,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1888,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1369,i_0_1640,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911,i_0_1126,i_0_709,i_0_715,i_0_717,i_0_735]) ).
cnf(i_0_1929,plain,
X1 != c_Suc(X1),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1930,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
| ~ class_Ring__and__Field_Oring(X3) ),
inference(rename_variables,[],[i_0_735]) ).
cnf(i_0_1931,plain,
( ~ class_Ring__and__Field_Oring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X2,X1),X3,X1),X5,X1)),X1) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X1),X5,X1) ),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1352,i_0_1516,i_0_1519,i_0_1545,i_0_1646,i_0_1649,i_0_1655,i_0_1658,i_0_1661,i_0_1664,i_0_1835,i_0_1848,i_0_1852,i_0_1859,i_0_1879,i_0_1889,i_0_1909,i_0_1268,i_0_1513,i_0_1183,i_0_1528,i_0_1531,i_0_1596,i_0_1607,i_0_1621,i_0_1839,i_0_1178,i_0_1558,i_0_1632,i_0_1679,i_0_1851,i_0_1181,i_0_1629,i_0_1650,i_0_1842,i_0_1860,i_0_1888,i_0_1182,i_0_1348,i_0_1349,i_0_946,i_0_1176,i_0_1551,i_0_1619,i_0_1624,i_0_1627,i_0_1708,i_0_1711,i_0_1713,i_0_1717,i_0_1737,i_0_1858,i_0_1347,i_0_1719,i_0_1721,i_0_1723,i_0_1725,i_0_1727,i_0_1729,i_0_1731,i_0_1739,i_0_1741,i_0_1743,i_0_1745,i_0_1747,i_0_1749,i_0_1751,i_0_1753,i_0_1755,i_0_1757,i_0_1759,i_0_1761,i_0_1763,i_0_1821,i_0_1823,i_0_1825,i_0_1827,i_0_1829,i_0_1831,i_0_1035,i_0_1175,i_0_1700,i_0_1293,i_0_1522,i_0_1525,i_0_1572,i_0_1575,i_0_1587,i_0_1610,i_0_1733,i_0_1770,i_0_1773,i_0_1799,i_0_1802,i_0_1805,i_0_1808,i_0_1350,i_0_1368,i_0_1561,i_0_1564,i_0_1643,i_0_1697,i_0_1706,i_0_1369,i_0_1640,i_0_1282,i_0_1537,i_0_1540,i_0_1548,i_0_1637,i_0_1667,i_0_1670,i_0_1715,i_0_1336,i_0_1534,i_0_1578,i_0_1584,i_0_1604,i_0_1765,i_0_1777,i_0_1784,i_0_1787,i_0_1790,i_0_1884,i_0_1084,i_0_1590,i_0_1593,i_0_1735,i_0_1085,i_0_1613,i_0_1616,i_0_1776,i_0_1173,i_0_1686,i_0_1365,i_0_1510,i_0_1289,i_0_1687,i_0_1694,i_0_1796,i_0_1329,i_0_1372,i_0_1373,i_0_1374,i_0_1375,i_0_1376,i_0_1377,i_0_1378,i_0_1379,i_0_1380,i_0_1381,i_0_1382,i_0_1383,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1389,i_0_1390,i_0_1391,i_0_1392,i_0_1393,i_0_1394,i_0_1395,i_0_1396,i_0_1397,i_0_1398,i_0_1057,i_0_1581,i_0_1601,i_0_1683,i_0_1058,i_0_734,i_0_766,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1044,i_0_1045,i_0_1088,i_0_1101,i_0_1103,i_0_1199,i_0_1213,i_0_1220,i_0_1221,i_0_1228,i_0_1267,i_0_1283,i_0_1286,i_0_1287,i_0_1482,i_0_1483,i_0_1400,i_0_820,i_0_821,i_0_894,i_0_1043,i_0_1087,i_0_1095,i_0_1097,i_0_1099,i_0_1147,i_0_1148,i_0_1184,i_0_1210,i_0_1212,i_0_1218,i_0_1219,i_0_1250,i_0_1450,i_0_747,i_0_1425,i_0_1427,i_0_1451,i_0_703,i_0_705,i_0_711,i_0_713,i_0_730,i_0_731,i_0_813,i_0_814,i_0_817,i_0_1023,i_0_1025,i_0_1029,i_0_1031,i_0_1077,i_0_1079,i_0_1121,i_0_1151,i_0_1159,i_0_1205,i_0_1206,i_0_1239,i_0_1240,i_0_1259,i_0_1273,i_0_1275,i_0_1276,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1457,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1439,i_0_1440,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_702,i_0_704,i_0_710,i_0_712,i_0_725,i_0_876,i_0_949,i_0_982,i_0_1020,i_0_1021,i_0_1042,i_0_1060,i_0_1065,i_0_1067,i_0_1073,i_0_1075,i_0_1138,i_0_1140,i_0_1141,i_0_1142,i_0_1145,i_0_1464,i_0_1465,i_0_1466,i_0_1467,i_0_1470,i_0_1471,i_0_1473,i_0_762,i_0_832,i_0_833,i_0_835,i_0_924,i_0_926,i_0_932,i_0_981,i_0_1132,i_0_1192,i_0_1233,i_0_845,i_0_846,i_0_847,i_0_933,i_0_934,i_0_936,i_0_958,i_0_760,i_0_850,i_0_965,i_0_1185,i_0_1214,i_0_1248,i_0_1330,i_0_1198,i_0_1426,i_0_1428,i_0_707,i_0_1224,i_0_911,i_0_1126,i_0_709,i_0_715,i_0_717,i_0_735,i_0_736]) ).
cnf(i_0_1932,plain,
c_Suc(X1) != X1,
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_1933,plain,
( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
| ~ class_Ring__and__Field_Oring(X4) ),
inference(rename_variables,[],[i_0_736]) ).
cnf(i_0_1934,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1712,i_0_971]) ).
cnf(i_0_1935,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X1,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1712]) ).
cnf(i_0_1936,plain,
( 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) ),
inference(rename_variables,[],[i_0_971]) ).
cnf(i_0_1937,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(scs_inference,[],[i_0_1566,i_0_1712,i_0_971,i_0_1284]) ).
cnf(i_0_1938,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat) = X3,
inference(rename_variables,[],[i_0_1566]) ).
cnf(i_0_1939,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(rename_variables,[],[i_0_1284]) ).
cnf(i_0_1940,plain,
c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat)) != X3,
inference(scs_inference,[],[i_0_1566,i_0_1642,i_0_1712,i_0_971,i_0_1284,i_0_1405]) ).
cnf(i_0_1941,plain,
~ c_lessequals(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1566,i_0_1642,i_0_1712,i_0_971,i_0_1284,i_0_1405,i_0_964]) ).
cnf(i_0_1942,plain,
( 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) ),
inference(rename_variables,[],[i_0_964]) ).
cnf(i_0_1943,plain,
c_lessequals(c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),X3,tc_nat),X4,tc_nat),X3,tc_nat),
inference(scs_inference,[],[i_0_1566,i_0_1642,i_0_1712,i_0_1631,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825]) ).
cnf(i_0_1944,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_825]) ).
cnf(i_0_1945,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),c_Suc(X3),tc_nat) != X3,
inference(scs_inference,[],[i_0_1566,i_0_1642,i_0_1712,i_0_1631,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402]) ).
cnf(i_0_1946,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1566,i_0_1642,i_0_1712,i_0_1631,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963]) ).
cnf(i_0_1947,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1592]) ).
cnf(i_0_1948,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_963]) ).
cnf(i_0_1949,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X1,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1566,i_0_1642,i_0_1712,i_0_1631,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216]) ).
cnf(i_0_1950,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1216]) ).
cnf(i_0_1951,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1712,i_0_1631,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893]) ).
cnf(i_0_1952,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_1953,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_893]) ).
cnf(i_0_1954,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1712,i_0_1631,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895]) ).
cnf(i_0_1955,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_1956,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_895]) ).
cnf(i_0_1957,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1712,i_0_1631,i_0_1586,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018]) ).
cnf(i_0_1958,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1959,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_1018]) ).
cnf(i_0_1960,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1712,i_0_1631,i_0_1586,i_0_1958,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019]) ).
cnf(i_0_1961,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1962,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_1019]) ).
cnf(i_0_1963,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1712,i_0_1682,i_0_1631,i_0_1586,i_0_1958,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088]) ).
cnf(i_0_1964,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_1965,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_lessequals(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X1,tc_nat) ),
inference(rename_variables,[],[i_0_1088]) ).
cnf(i_0_1966,plain,
c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1586,i_0_1958,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283]) ).
cnf(i_0_1967,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(rename_variables,[],[i_0_1283]) ).
cnf(i_0_1968,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1586,i_0_1958,i_0_1961,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820]) ).
cnf(i_0_1969,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1970,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_820]) ).
cnf(i_0_1971,plain,
~ c_lessequals(c_Suc(c_Suc(c_Suc(X1))),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1547,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1586,i_0_1958,i_0_1961,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220]) ).
cnf(i_0_1972,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(rename_variables,[],[i_0_1547]) ).
cnf(i_0_1973,plain,
( c_lessequals(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1220]) ).
cnf(i_0_1974,plain,
c_lessequals(X1,c_Suc(c_Suc(X1)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1547,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1586,i_0_1958,i_0_1961,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228]) ).
cnf(i_0_1975,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1228]) ).
cnf(i_0_1976,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1586,i_0_1958,i_0_1961,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267]) ).
cnf(i_0_1977,plain,
( c_lessequals(X1,X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1267]) ).
cnf(i_0_1978,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat) != X1,
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1586,i_0_1958,i_0_1961,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286]) ).
cnf(i_0_1979,plain,
c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != X1,
inference(rename_variables,[],[i_0_1560]) ).
cnf(i_0_1980,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) != X2 ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1981,plain,
X1 != c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1586,i_0_1958,i_0_1961,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287]) ).
cnf(i_0_1982,plain,
c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != X1,
inference(rename_variables,[],[i_0_1560]) ).
cnf(i_0_1983,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| X2 != c_HOL_Oplus__class_Oplus(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1287]) ).
cnf(i_0_1984,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821]) ).
cnf(i_0_1985,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_1986,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_821]) ).
cnf(i_0_1987,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1812,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099]) ).
cnf(i_0_1988,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1,tc_nat),
inference(rename_variables,[],[i_0_1812]) ).
cnf(i_0_1989,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1099]) ).
cnf(i_0_1990,plain,
~ c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1603,i_0_1812,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147]) ).
cnf(i_0_1991,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1691]) ).
cnf(i_0_1992,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1147]) ).
cnf(i_0_1993,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218]) ).
cnf(i_0_1994,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1609]) ).
cnf(i_0_1995,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1218]) ).
cnf(i_0_1996,plain,
~ c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1972,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101]) ).
cnf(i_0_1997,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(rename_variables,[],[i_0_1547]) ).
cnf(i_0_1998,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1101]) ).
cnf(i_0_1999,plain,
~ c_lessequals(c_Suc(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat))),X2,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103]) ).
cnf(i_0_2000,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(rename_variables,[],[i_0_1547]) ).
cnf(i_0_2001,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_lessequals(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1103]) ).
cnf(i_0_2002,plain,
c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087]) ).
cnf(i_0_2003,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2004,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X2,X1,tc_nat),X1,tc_nat) ),
inference(rename_variables,[],[i_0_1087]) ).
cnf(i_0_2005,plain,
~ c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219]) ).
cnf(i_0_2006,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1,tc_nat),
inference(rename_variables,[],[i_0_1812]) ).
cnf(i_0_2007,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1219]) ).
cnf(i_0_2008,plain,
~ c_Natural_Oevaln(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Com_Ocom_OSKIP,tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),X2,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850]) ).
cnf(i_0_2009,plain,
( c_Natural_Oevalc(X1,X2,X3)
| ~ c_Natural_Oevaln(X1,X2,X4,X3) ),
inference(rename_variables,[],[i_0_850]) ).
cnf(i_0_2010,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095]) ).
cnf(i_0_2011,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_2012,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1095]) ).
cnf(i_0_2013,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221]) ).
cnf(i_0_2014,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1,
inference(rename_variables,[],[i_0_1177]) ).
cnf(i_0_2015,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1221]) ).
cnf(i_0_2016,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_2006,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097]) ).
cnf(i_0_2017,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X1,tc_nat),
inference(rename_variables,[],[i_0_1812]) ).
cnf(i_0_2018,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1097]) ).
cnf(i_0_2019,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_2006,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965]) ).
cnf(i_0_2020,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2021,plain,
( 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) ),
inference(rename_variables,[],[i_0_965]) ).
cnf(i_0_2022,plain,
~ c_lessequals(c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_2006,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199]) ).
cnf(i_0_2023,plain,
~ c_lessequals(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),X1,tc_nat),
inference(rename_variables,[],[i_0_1666]) ).
cnf(i_0_2024,plain,
( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1199]) ).
cnf(i_0_2025,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198]) ).
cnf(i_0_2026,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),
inference(rename_variables,[],[i_0_1816]) ).
cnf(i_0_2027,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1198]) ).
cnf(i_0_2028,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148]) ).
cnf(i_0_2029,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1148]) ).
cnf(i_0_2030,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043]) ).
cnf(i_0_2031,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2032,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1043]) ).
cnf(i_0_2033,plain,
c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(c_Suc(X1),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_1631,i_0_1854,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184]) ).
cnf(i_0_2034,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1786]) ).
cnf(i_0_2035,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1184]) ).
cnf(i_0_2036,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210]) ).
cnf(i_0_2037,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1058]) ).
cnf(i_0_2038,plain,
( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1210]) ).
cnf(i_0_2039,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894]) ).
cnf(i_0_2040,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2041,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat) ),
inference(rename_variables,[],[i_0_894]) ).
cnf(i_0_2042,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,tc_nat),tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044]) ).
cnf(i_0_2043,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1691]) ).
cnf(i_0_2044,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_2045,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X1,tc_nat),tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045]) ).
cnf(i_0_2046,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1691]) ).
cnf(i_0_2047,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)
| c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1045]) ).
cnf(i_0_2048,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185]) ).
cnf(i_0_2049,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1691]) ).
cnf(i_0_2050,plain,
( ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1185]) ).
cnf(i_0_2051,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212]) ).
cnf(i_0_2052,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1212]) ).
cnf(i_0_2053,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,c_Suc(X1),tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213]) ).
cnf(i_0_2054,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1691]) ).
cnf(i_0_2055,plain,
( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1213]) ).
cnf(i_0_2056,plain,
c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248]) ).
cnf(i_0_2057,plain,
( c_lessequals(c_Suc(X1),X2,tc_nat)
| c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1248]) ).
cnf(i_0_2058,plain,
c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,c_Suc(X1),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1807,i_0_1592,i_0_1874,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250]) ).
cnf(i_0_2059,plain,
~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1807]) ).
cnf(i_0_2060,plain,
( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1250]) ).
cnf(i_0_2061,plain,
c_lessequals(c_Divides_Odiv__class_Omod(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1807,i_0_1592,i_0_1874,i_0_1583,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214]) ).
cnf(i_0_2062,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| c_lessequals(X1,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1214]) ).
cnf(i_0_2063,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_1807,i_0_1592,i_0_1874,i_0_1583,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400]) ).
cnf(i_0_2064,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Ominus__class_Ominus(c_Suc(X1),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1631,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1874,i_0_1583,i_0_1783,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113]) ).
cnf(i_0_2065,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_2066,plain,
( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_1113]) ).
cnf(i_0_2067,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),X4,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1631,i_0_1628,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818]) ).
cnf(i_0_2068,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_818]) ).
cnf(i_0_2069,plain,
~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1631,i_0_1628,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879]) ).
cnf(i_0_2070,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1883]) ).
cnf(i_0_2071,plain,
( 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) ),
inference(rename_variables,[],[i_0_879]) ).
cnf(i_0_2072,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1631,i_0_1628,i_0_1854,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815]) ).
cnf(i_0_2073,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_815]) ).
cnf(i_0_2074,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878]) ).
cnf(i_0_2075,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_2076,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_878]) ).
cnf(i_0_2077,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146]) ).
cnf(i_0_2078,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1058]) ).
cnf(i_0_2079,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1146]) ).
cnf(i_0_2080,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat),X2,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703]) ).
cnf(i_0_2081,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1550]) ).
cnf(i_0_2082,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_703]) ).
cnf(i_0_2083,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3,tc_nat),X4,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705]) ).
cnf(i_0_2084,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1550]) ).
cnf(i_0_2085,plain,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_705]) ).
cnf(i_0_2086,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3,tc_nat),c_Suc(X4),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713]) ).
cnf(i_0_2087,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(X3),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1634]) ).
cnf(i_0_2088,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_713]) ).
cnf(i_0_2089,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730]) ).
cnf(i_0_2090,plain,
c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != X1,
inference(rename_variables,[],[i_0_1560]) ).
cnf(i_0_2091,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat) = X5
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_730]) ).
cnf(i_0_2092,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_1563,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731]) ).
cnf(i_0_2093,plain,
X1 != c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1563]) ).
cnf(i_0_2094,plain,
( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_731]) ).
cnf(i_0_2095,plain,
~ c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151]) ).
cnf(i_0_2096,plain,
c_Natural_Oevalc(c_Com_Ocom_OSKIP,X1,X1),
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2097,plain,
( ~ c_Natural_Oevalc(X1,X2,X3)
| X4 = X3
| ~ c_Natural_Oevalc(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1151]) ).
cnf(i_0_2098,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159]) ).
cnf(i_0_2099,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_2100,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| X2 = X1 ),
inference(rename_variables,[],[i_0_1159]) ).
cnf(i_0_2101,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,c_Suc(X4),tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710]) ).
cnf(i_0_2102,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X3),tc_nat),tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1779]) ).
cnf(i_0_2103,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_710]) ).
cnf(i_0_2104,plain,
c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),v_xb),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747]) ).
cnf(i_0_2105,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2106,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| ~ c_Natural_Oevaln(X3,X4,X1,X5)
| c_Natural_Oevaln(X3,X4,X2,X5) ),
inference(rename_variables,[],[i_0_747]) ).
cnf(i_0_2107,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1994,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073]) ).
cnf(i_0_2108,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1609]) ).
cnf(i_0_2109,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1073]) ).
cnf(i_0_2110,plain,
~ c_HOL_Oord__class_Oless(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1058,i_0_2037,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075]) ).
cnf(i_0_2111,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),X1,tc_nat),
inference(rename_variables,[],[i_0_1609]) ).
cnf(i_0_2112,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1075]) ).
cnf(i_0_2113,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138]) ).
cnf(i_0_2114,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1138]) ).
cnf(i_0_2115,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145]) ).
cnf(i_0_2116,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1145]) ).
cnf(i_0_2117,plain,
c_lessequals(X1,c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817]) ).
cnf(i_0_2118,plain,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_817]) ).
cnf(i_0_2119,plain,
~ c_lessequals(c_Suc(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat))),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077]) ).
cnf(i_0_2120,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(rename_variables,[],[i_0_1547]) ).
cnf(i_0_2121,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1077]) ).
cnf(i_0_2122,plain,
~ c_lessequals(c_Suc(c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat))),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079]) ).
cnf(i_0_2123,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),X1,tc_nat),
inference(rename_variables,[],[i_0_1547]) ).
cnf(i_0_2124,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1079]) ).
cnf(i_0_2125,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),tc_nat),X2,tc_nat),c_Suc(X3),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702]) ).
cnf(i_0_2126,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(X3),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1767]) ).
cnf(i_0_2127,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_702]) ).
cnf(i_0_2128,plain,
c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X3,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704]) ).
cnf(i_0_2129,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2130,plain,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X4,tc_nat),X5,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X3,X2,tc_nat) ),
inference(rename_variables,[],[i_0_704]) ).
cnf(i_0_2131,plain,
c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(X1),c_Suc(X1),tc_nat),c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982]) ).
cnf(i_0_2132,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat) ),
inference(rename_variables,[],[i_0_982]) ).
cnf(i_0_2133,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065]) ).
cnf(i_0_2134,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_2135,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1065]) ).
cnf(i_0_2136,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X2,X1,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067]) ).
cnf(i_0_2137,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1586]) ).
cnf(i_0_2138,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_2139,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029]) ).
cnf(i_0_2140,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2141,plain,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1029]) ).
cnf(i_0_2142,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,tc_nat),X3,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031]) ).
cnf(i_0_2143,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2144,plain,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1031]) ).
cnf(i_0_2145,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259]) ).
cnf(i_0_2146,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1798]) ).
cnf(i_0_2147,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_2148,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1259]) ).
cnf(i_0_2149,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),X1,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876]) ).
cnf(i_0_2150,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X3,X4,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_2151,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140]) ).
cnf(i_0_2152,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1140]) ).
cnf(i_0_2153,plain,
~ c_lessequals(c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat)),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141]) ).
cnf(i_0_2154,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1141]) ).
cnf(i_0_2155,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),c_Suc(X3),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,tc_nat),X2,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711]) ).
cnf(i_0_2156,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1612]) ).
cnf(i_0_2157,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),X4,tc_nat),X5,tc_nat)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X4,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X5,tc_nat),tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_711]) ).
cnf(i_0_2158,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142]) ).
cnf(i_0_2159,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1142]) ).
cnf(i_0_2160,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_Suc(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121]) ).
cnf(i_0_2161,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2162,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_lessequals(X1,X3,tc_nat)
| ~ c_lessequals(X2,X3,tc_nat) ),
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_2163,plain,
c_lessequals(X1,c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814]) ).
cnf(i_0_2164,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2165,plain,
( ~ 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) ),
inference(rename_variables,[],[i_0_814]) ).
cnf(i_0_2166,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020]) ).
cnf(i_0_2167,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2168,plain,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1020]) ).
cnf(i_0_2169,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X2,X1,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021]) ).
cnf(i_0_2170,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2171,plain,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1021]) ).
cnf(i_0_2172,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042]) ).
cnf(i_0_2173,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),tc_nat) = X1,
inference(rename_variables,[],[i_0_1857]) ).
cnf(i_0_2174,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2175,plain,
( c_HOL_Oplus__class_Oplus(X1,X2,tc_nat) != c_HOL_Oplus__class_Oplus(X3,X4,tc_nat)
| ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
inference(rename_variables,[],[i_0_1042]) ).
cnf(i_0_2176,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Suc(X1),c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239]) ).
cnf(i_0_2177,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1239]) ).
cnf(i_0_2178,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023]) ).
cnf(i_0_2179,plain,
c_lessequals(X1,X1,c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(rename_variables,[],[i_0_1901]) ).
cnf(i_0_2180,plain,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_1023]) ).
cnf(i_0_2181,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025]) ).
cnf(i_0_2182,plain,
c_lessequals(X1,X1,c_HOL_Oplus__class_Oplus(tc_nat,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)),
inference(rename_variables,[],[i_0_1901]) ).
cnf(i_0_2183,plain,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_1025]) ).
cnf(i_0_2184,plain,
c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),X3,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224]) ).
cnf(i_0_2185,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_2186,plain,
( ~ c_lessequals(X1,X2,tc_nat)
| c_HOL_Oord__class_Oless(X1,X2,tc_nat)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1224]) ).
cnf(i_0_2187,plain,
c_lessequals(X1,c_Suc(c_Orderings_Oord__class_Omax(X1,X2,tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240]) ).
cnf(i_0_2188,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1240]) ).
cnf(i_0_2189,plain,
~ v_fun2(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),v_x,tc_nat),v_xb),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1343,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450]) ).
cnf(i_0_2190,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2191,plain,
~ c_Natural_Oevaln(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Com_Ocom_OBODY(X1),tc_nat),X2,c_HOL_Ominus__class_Ominus(X3,X3,tc_nat),X4),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1343,i_0_2190,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425]) ).
cnf(i_0_2192,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2193,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Ominus__class_Ominus(X3,X4,tc_nat),tc_nat),X4,tc_nat),X5),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_1343,i_0_2190,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427]) ).
cnf(i_0_2194,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X1),X2,c_HOL_Ominus__class_Ominus(X3,X3,tc_nat),X4),
inference(rename_variables,[],[i_0_1625]) ).
cnf(i_0_2195,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1034]) ).
cnf(i_0_2196,plain,
~ v_fun2(v_x,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),v_xb,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_1343,i_0_2190,i_0_2192,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451]) ).
cnf(i_0_2197,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2198,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401]) ).
cnf(i_0_2199,plain,
c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) != X1,
inference(rename_variables,[],[i_0_1560]) ).
cnf(i_0_2200,plain,
~ c_Natural_Oevalc(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Com_Ocom_OSKIP,tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446]) ).
cnf(i_0_2201,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2202,plain,
~ c_Natural_Oevalc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Com_Ocom_OSKIP,tc_nat),X1,tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447]) ).
cnf(i_0_2203,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2204,plain,
~ c_Natural_Oevalc(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Com_Ocom_OSKIP,tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448]) ).
cnf(i_0_2205,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2206,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456]) ).
cnf(i_0_2207,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2208,plain,
~ c_lessequals(c_Suc(X1),X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458]) ).
cnf(i_0_2209,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2210,plain,
class_Divides_Osemiring__div(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1398,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430]) ).
cnf(i_0_2211,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2212,plain,
class_Ring__and__Field_Ocomm__semiring__1(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1397,i_0_1398,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432]) ).
cnf(i_0_2213,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2214,plain,
class_Ring__and__Field_Oordered__semiring__strict(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1397,i_0_1398,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433]) ).
cnf(i_0_2215,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2216,plain,
class_Ring__and__Field_Opordered__semiring(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1397,i_0_1398,i_0_1375,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434]) ).
cnf(i_0_2217,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2218,plain,
class_Ring__and__Field_Oordered__semiring(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435]) ).
cnf(i_0_2219,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2220,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437]) ).
cnf(i_0_2221,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2222,plain,
class_Ring__and__Field_Oordered__comm__semiring__strict(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1376,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438]) ).
cnf(i_0_2223,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2224,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1376,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441]) ).
cnf(i_0_2225,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2226,plain,
class_Ring__and__Field_Omult__mono1(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1376,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442]) ).
cnf(i_0_2227,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2228,plain,
class_Ring__and__Field_Omult__mono(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1376,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1380,i_0_1394,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443]) ).
cnf(i_0_2229,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2230,plain,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1376,i_0_1387,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1380,i_0_1394,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444]) ).
cnf(i_0_2231,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2232,plain,
class_OrderedGroup_Opordered__ab__semigroup__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1376,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1380,i_0_1394,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445]) ).
cnf(i_0_2233,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2234,plain,
class_Ring__and__Field_Ocomm__semiring(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1376,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1380,i_0_1394,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449]) ).
cnf(i_0_2235,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2236,plain,
class_Ring__and__Field_Opordered__cancel__semiring(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1376,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1380,i_0_1383,i_0_1394,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455]) ).
cnf(i_0_2237,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2238,plain,
class_OrderedGroup_Opordered__comm__monoid__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1376,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459]) ).
cnf(i_0_2239,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2240,plain,
class_OrderedGroup_Ocomm__monoid__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1376,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460]) ).
cnf(i_0_2241,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2242,plain,
class_Ring__and__Field_Oordered__semidom(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1376,i_0_1381,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461]) ).
cnf(i_0_2243,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2244,plain,
class_Ring__and__Field_Omult__zero(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1376,i_0_1381,i_0_1385,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475]) ).
cnf(i_0_2245,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2246,plain,
class_OrderedGroup_Omonoid__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1374,i_0_1376,i_0_1381,i_0_1385,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476]) ).
cnf(i_0_2247,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2248,plain,
class_Orderings_Olinorder(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1374,i_0_1376,i_0_1381,i_0_1385,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479]) ).
cnf(i_0_2249,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2250,plain,
class_Ring__and__Field_Osemiring(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1374,i_0_1376,i_0_1381,i_0_1384,i_0_1385,i_0_1387,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480]) ).
cnf(i_0_2251,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2252,plain,
class_OrderedGroup_Oab__semigroup__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1374,i_0_1376,i_0_1381,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464]) ).
cnf(i_0_2253,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2254,plain,
class_OrderedGroup_Oab__semigroup__mult(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1381,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465]) ).
cnf(i_0_2255,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2256,plain,
class_OrderedGroup_Ocancel__semigroup__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1381,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470]) ).
cnf(i_0_2257,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2258,plain,
class_OrderedGroup_Ocancel__ab__semigroup__add(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471]) ).
cnf(i_0_2259,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2260,plain,
class_Ring__and__Field_Ono__zero__divisors(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473]) ).
cnf(i_0_2261,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2262,plain,
class_Orderings_Oorder(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466]) ).
cnf(i_0_2263,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2264,plain,
~ c_lessequals(c_Suc(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X4,tc_nat,tc_nat),X4,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457]) ).
cnf(i_0_2265,plain,
~ c_lessequals(c_Suc(X1),X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat)),
inference(rename_variables,[],[i_0_1716]) ).
cnf(i_0_2266,plain,
class_Orderings_Opreorder(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467]) ).
cnf(i_0_2267,plain,
X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1568]) ).
cnf(i_0_2268,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X4,tc_nat,tc_nat),X4,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440]) ).
cnf(i_0_2269,plain,
~ c_HOL_Oord__class_Oless(X1,X1,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,tc_nat,tc_nat),X2,tc_nat)),
inference(rename_variables,[],[i_0_1736]) ).
cnf(i_0_2270,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439]) ).
cnf(i_0_2271,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2272,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X2,tc_nat),X3,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426]) ).
cnf(i_0_2273,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),
inference(rename_variables,[],[i_0_1905]) ).
cnf(i_0_2274,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1034]) ).
cnf(i_0_2275,plain,
~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,c_HOL_Ominus__class_Ominus(X1,X1,tc_nat),X2,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428]) ).
cnf(i_0_2276,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = X1,
inference(rename_variables,[],[i_0_1343]) ).
cnf(i_0_2277,plain,
c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761]) ).
cnf(i_0_2278,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat)),X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1577]) ).
cnf(i_0_2279,plain,
c_lessequals(X1,c_Suc(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat)),tc_nat),
inference(rename_variables,[],[i_0_1691]) ).
cnf(i_0_2280,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_761]) ).
cnf(i_0_2281,plain,
~ c_lessequals(c_Suc(c_Suc(X1)),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110]) ).
cnf(i_0_2282,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2283,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1110]) ).
cnf(i_0_2284,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106]) ).
cnf(i_0_2285,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2286,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_HOL_Oord__class_Oless(X4,X3,X1)
| ~ c_HOL_Oord__class_Oless(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1106]) ).
cnf(i_0_2287,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109]) ).
cnf(i_0_2288,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2289,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1109]) ).
cnf(i_0_2290,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_Suc(X1),c_HOL_Oplus__class_Oplus(X2,c_Suc(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),tc_nat),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848]) ).
cnf(i_0_2291,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_Suc(X1),X2,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1874]) ).
cnf(i_0_2292,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2293,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_2294,plain,
c_lessequals(c_Orderings_Oord__class_Omax(c_Suc(X1),X1,tc_nat),c_Suc(X1),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916]) ).
cnf(i_0_2295,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1352]) ).
cnf(i_0_2296,plain,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4)
| c_lessequals(X1,X3,X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_916]) ).
cnf(i_0_2297,plain,
~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Orderings_Oord__class_Omax(c_Suc(X1),X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972]) ).
cnf(i_0_2298,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1293]) ).
cnf(i_0_2299,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_972]) ).
cnf(i_0_2300,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832]) ).
cnf(i_0_2301,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2302,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono1(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_2303,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835]) ).
cnf(i_0_2304,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2305,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_835]) ).
cnf(i_0_2306,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_1177,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924]) ).
cnf(i_0_2307,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2308,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2309,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(rename_variables,[],[i_0_924]) ).
cnf(i_0_2310,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) = X1,
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1182,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981]) ).
cnf(i_0_2311,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat) = X1,
inference(rename_variables,[],[i_0_1177]) ).
cnf(i_0_2312,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_2313,plain,
( 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)
| X1 = X3 ),
inference(rename_variables,[],[i_0_981]) ).
cnf(i_0_2314,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762]) ).
cnf(i_0_2315,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1515]) ).
cnf(i_0_2316,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1182]) ).
cnf(i_0_2317,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X3,X2,tc_nat),tc_nat)
| ~ c_lessequals(X2,X3,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat)
| c_lessequals(X1,X3,tc_nat) ),
inference(rename_variables,[],[i_0_762]) ).
cnf(i_0_2318,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926]) ).
cnf(i_0_2319,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2320,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2321,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(rename_variables,[],[i_0_926]) ).
cnf(i_0_2322,plain,
c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932]) ).
cnf(i_0_2323,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1179]) ).
cnf(i_0_2324,plain,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(rename_variables,[],[i_0_932]) ).
cnf(i_0_2325,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833]) ).
cnf(i_0_2326,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1654]) ).
cnf(i_0_2327,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Omult__mono(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_833]) ).
cnf(i_0_2328,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192]) ).
cnf(i_0_2329,plain,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_2330,plain,
( X1 = X2
| ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1192]) ).
cnf(i_0_2331,plain,
c_Orderings_Oord__class_Omax(c_Suc(X1),X1,tc_nat) = c_Suc(X1),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132]) ).
cnf(i_0_2332,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1654]) ).
cnf(i_0_2333,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(rename_variables,[],[i_0_1132]) ).
cnf(i_0_2334,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846]) ).
cnf(i_0_2335,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),X3,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1734]) ).
cnf(i_0_2336,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X2,X5,X3)
| ~ c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_846]) ).
cnf(i_0_2337,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126]) ).
cnf(i_0_2338,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,c_Suc(X2),tc_nat),X1,tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1712]) ).
cnf(i_0_2339,plain,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
inference(rename_variables,[],[i_0_1348]) ).
cnf(i_0_2340,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1126]) ).
cnf(i_0_2341,plain,
c_HOL_Ozero__class_Ozero(tc_nat) = c_Orderings_Oord__class_Omin(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233]) ).
cnf(i_0_2342,plain,
~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1801]) ).
cnf(i_0_2343,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_2344,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1233]) ).
cnf(i_0_2345,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933]) ).
cnf(i_0_2346,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Suc(X1),c_Suc(X1),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1606]) ).
cnf(i_0_2347,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X3,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(rename_variables,[],[i_0_933]) ).
cnf(i_0_2348,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),X2,tc_nat),c_Suc(X3),tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847]) ).
cnf(i_0_2349,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,c_Suc(X3),tc_nat),tc_nat),X2,tc_nat),
inference(rename_variables,[],[i_0_1779]) ).
cnf(i_0_2350,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_lessequals(X2,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(rename_variables,[],[i_0_847]) ).
cnf(i_0_2351,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936]) ).
cnf(i_0_2352,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2353,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(rename_variables,[],[i_0_936]) ).
cnf(i_0_2354,plain,
~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958]) ).
cnf(i_0_2355,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1682]) ).
cnf(i_0_2356,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),c_HOL_Oplus__class_Oplus(X2,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1732]) ).
cnf(i_0_2357,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_958]) ).
cnf(i_0_2358,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759]) ).
cnf(i_0_2359,plain,
c_lessequals(X1,c_HOL_Otimes__class_Otimes(X1,X1,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1183]) ).
cnf(i_0_2360,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X5,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_759]) ).
cnf(i_0_2361,plain,
c_lessequals(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),tc_nat),c_HOL_Otimes__class_Otimes(c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_Suc(c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_2320,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_2332,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759,i_0_760]) ).
cnf(i_0_2362,plain,
c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1654]) ).
cnf(i_0_2363,plain,
c_lessequals(X1,c_Suc(X1),tc_nat),
inference(rename_variables,[],[i_0_1544]) ).
cnf(i_0_2364,plain,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X1),c_HOL_Otimes__class_Otimes(X3,X5,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X5,X1)
| ~ c_lessequals(X4,X3,X1) ),
inference(rename_variables,[],[i_0_760]) ).
cnf(i_0_2365,plain,
~ c_HOL_Oord__class_Oless(X1,c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_2320,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_2332,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759,i_0_760,i_0_1089]) ).
cnf(i_0_2366,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
| ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1089]) ).
cnf(i_0_2367,plain,
c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_2320,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_2332,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759,i_0_760,i_0_1089,i_0_1041]) ).
cnf(i_0_2368,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
| c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_2369,plain,
c_lessequals(X1,X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X2,tc_nat),X3,tc_nat),tc_nat,tc_nat)),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_2320,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_2332,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759,i_0_760,i_0_1089,i_0_1041,i_0_1331]) ).
cnf(i_0_2370,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1331]) ).
cnf(i_0_2371,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),X2,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(scs_inference,[],[i_0_1094,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_2320,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_2332,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759,i_0_760,i_0_1089,i_0_1041,i_0_1331,i_0_1333]) ).
cnf(i_0_2372,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
| X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
inference(rename_variables,[],[i_0_1333]) ).
cnf(i_0_2373,plain,
$false,
inference(scs_inference,[],[i_0_1094,i_0_1363,i_0_1359,i_0_1625,i_0_1905,i_0_2273,i_0_1034,i_0_2195,i_0_1343,i_0_2190,i_0_2192,i_0_2197,i_0_2201,i_0_2203,i_0_2205,i_0_2207,i_0_2209,i_0_2225,i_0_2271,i_0_1179,i_0_1952,i_0_2140,i_0_2143,i_0_2282,i_0_2285,i_0_2308,i_0_2319,i_0_1177,i_0_2014,i_0_1901,i_0_2179,i_0_1716,i_0_1857,i_0_1566,i_0_1568,i_0_2211,i_0_2213,i_0_2215,i_0_2217,i_0_2219,i_0_2221,i_0_2223,i_0_2227,i_0_2229,i_0_2231,i_0_2233,i_0_2235,i_0_2237,i_0_2239,i_0_2241,i_0_2243,i_0_2245,i_0_2247,i_0_2249,i_0_2251,i_0_2253,i_0_2255,i_0_2257,i_0_2259,i_0_2261,i_0_2263,i_0_1560,i_0_1979,i_0_1982,i_0_2090,i_0_1563,i_0_1844,i_0_1847,i_0_1642,i_0_1707,i_0_1544,i_0_1955,i_0_2105,i_0_2161,i_0_2164,i_0_2292,i_0_2301,i_0_2304,i_0_2307,i_0_2320,i_0_1547,i_0_1972,i_0_1997,i_0_2000,i_0_2120,i_0_2123,i_0_1536,i_0_1666,i_0_2023,i_0_1691,i_0_1991,i_0_2043,i_0_2046,i_0_2049,i_0_2054,i_0_1555,i_0_1654,i_0_2326,i_0_2332,i_0_1834,i_0_1515,i_0_1672,i_0_1712,i_0_1935,i_0_1682,i_0_1964,i_0_2003,i_0_2031,i_0_2040,i_0_2129,i_0_2167,i_0_2170,i_0_2288,i_0_2352,i_0_1550,i_0_2081,i_0_1634,i_0_1631,i_0_1628,i_0_1854,i_0_1352,i_0_1183,i_0_2099,i_0_1181,i_0_2075,i_0_1182,i_0_2312,i_0_1348,i_0_1760,i_0_1736,i_0_1732,i_0_1734,i_0_2174,i_0_1058,i_0_2037,i_0_1329,i_0_1390,i_0_1389,i_0_1609,i_0_1994,i_0_2108,i_0_1603,i_0_1786,i_0_1812,i_0_1988,i_0_2006,i_0_1816,i_0_1580,i_0_1586,i_0_1958,i_0_1961,i_0_1969,i_0_1985,i_0_2011,i_0_2065,i_0_2134,i_0_1798,i_0_1801,i_0_1807,i_0_1606,i_0_1612,i_0_1577,i_0_1592,i_0_1779,i_0_2102,i_0_1883,i_0_1874,i_0_2020,i_0_1792,i_0_1767,i_0_1583,i_0_1783,i_0_1293,i_0_1350,i_0_1289,i_0_2147,i_0_2185,i_0_1372,i_0_1373,i_0_1374,i_0_1376,i_0_1377,i_0_1378,i_0_1381,i_0_1384,i_0_1385,i_0_1386,i_0_1387,i_0_1388,i_0_1392,i_0_1397,i_0_1398,i_0_1375,i_0_1379,i_0_1395,i_0_1396,i_0_1380,i_0_1383,i_0_1394,i_0_1391,i_0_1382,i_0_1393,i_0_971,i_0_1284,i_0_1405,i_0_964,i_0_825,i_0_1402,i_0_963,i_0_1216,i_0_893,i_0_895,i_0_1018,i_0_1019,i_0_1088,i_0_1283,i_0_820,i_0_1220,i_0_1228,i_0_1267,i_0_1286,i_0_1287,i_0_821,i_0_1099,i_0_1147,i_0_1218,i_0_1101,i_0_1103,i_0_1087,i_0_1219,i_0_850,i_0_1095,i_0_1221,i_0_1097,i_0_965,i_0_1199,i_0_1198,i_0_1148,i_0_1043,i_0_1184,i_0_1210,i_0_894,i_0_1044,i_0_1045,i_0_1185,i_0_1212,i_0_1213,i_0_1248,i_0_1250,i_0_1214,i_0_1400,i_0_1113,i_0_818,i_0_879,i_0_815,i_0_878,i_0_1146,i_0_703,i_0_705,i_0_713,i_0_730,i_0_731,i_0_1151,i_0_1159,i_0_710,i_0_747,i_0_1073,i_0_1075,i_0_1138,i_0_1145,i_0_817,i_0_1077,i_0_1079,i_0_702,i_0_704,i_0_982,i_0_1065,i_0_1067,i_0_1029,i_0_1031,i_0_1259,i_0_876,i_0_1140,i_0_1141,i_0_711,i_0_1142,i_0_1121,i_0_814,i_0_1020,i_0_1021,i_0_1042,i_0_1239,i_0_1023,i_0_1025,i_0_1224,i_0_1240,i_0_1450,i_0_1425,i_0_1427,i_0_1451,i_0_1401,i_0_1446,i_0_1447,i_0_1448,i_0_1456,i_0_1458,i_0_1430,i_0_1432,i_0_1433,i_0_1434,i_0_1435,i_0_1437,i_0_1438,i_0_1441,i_0_1442,i_0_1443,i_0_1444,i_0_1445,i_0_1449,i_0_1455,i_0_1459,i_0_1460,i_0_1461,i_0_1475,i_0_1476,i_0_1479,i_0_1480,i_0_1464,i_0_1465,i_0_1470,i_0_1471,i_0_1473,i_0_1466,i_0_1457,i_0_1467,i_0_1440,i_0_1439,i_0_1426,i_0_1428,i_0_761,i_0_1110,i_0_1106,i_0_1109,i_0_848,i_0_916,i_0_972,i_0_832,i_0_835,i_0_924,i_0_981,i_0_762,i_0_926,i_0_932,i_0_833,i_0_1192,i_0_1132,i_0_846,i_0_1126,i_0_1233,i_0_933,i_0_847,i_0_936,i_0_958,i_0_759,i_0_760,i_0_1089,i_0_1041,i_0_1331,i_0_1333,i_0_875]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV824-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 06:01:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.97/1.67 % Version : CSE_E---1.7
% 1.97/1.67 % Problem : theBenchmark.p
% 1.97/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/1.67 % SZS output start CNFRefutation
% See solution above
% 13.82/13.53 % Total time : 1.329s
%------------------------------------------------------------------------------