CSE_E---1.7.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SCT028-1 : 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 : n016.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 05:05:52 PM UTC 2026

% Result   : Unsatisfiable 0.82s 1.67s
% Output   : CNFRefutation 4.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_532)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_trancl__Int__subset_0,axiom,
    ( c_lessequals(c_Transitive__Closure_Otrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__Int__subset_0) ).

cnf(cls_trancl__unfold__left_0,axiom,
    c_Transitive__Closure_Otrancl(X1,X2) = c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold__left_0) ).

cnf(cls_trancl__trans_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__trans_0) ).

cnf(cls_trancl__converseI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseI_0) ).

cnf(cls_trancl__converseD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converseD_0) ).

cnf(cls_rtrancl__trancl__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trancl__trancl_0) ).

cnf(cls_trancl__rtrancl__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__rtrancl__trancl_0) ).

cnf(cls_trancl__into__trancl2_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__into__trancl2_0) ).

cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__trancl_0) ).

cnf(cls_trancl__mono_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Otrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_lessequals(X4,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_in(X1,c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__mono_0) ).

cnf(cls_tranclD_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_1) ).

cnf(cls_tranclD2_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_0) ).

cnf(cls_tranclD2_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD2_1) ).

cnf(cls_tranclD_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tranclD_0) ).

cnf(cls_rtrancl__Int__subset_0,axiom,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_OId(X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__Int__subset_0) ).

cnf(cls_rtrancl__empty_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Relation_OId(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__empty_0) ).

cnf(cls_rtrancl__eq__or__trancl_2,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_2) ).

cnf(cls_trancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__into__rtrancl_0) ).

cnf(cls_irrefl__tranclI_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_fun(tc_prod(X2,X2),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_in(c_Pair(X3,X3,X2,X2),c_Transitive__Closure_Otrancl(X1,X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__tranclI_0) ).

cnf(cls_trancl__range_0,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__range_0) ).

cnf(cls_Range__def_0,axiom,
    c_Relation_ORange(X1,X2,X3) = c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__def_0) ).

cnf(cls_wf__converse__trancl_0,axiom,
    ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2)
    | ~ c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__converse__trancl_0) ).

cnf(cls_rtrancl__into__trancl2_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__into__trancl2_0) ).

cnf(cls_rtrancl__into__trancl1_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__into__trancl1_0) ).

cnf(cls_trancl__subset__Sigma_0,axiom,
    ( c_lessequals(c_Transitive__Closure_Otrancl(X1,X2),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__subset__Sigma_0) ).

cnf(cls_r__r__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__r__into__trancl_0) ).

cnf(cls_trancl__converse_0,axiom,
    c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__converse_0) ).

cnf(cls_irrefl__trancl__rD_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X3,X2),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X3,X2),X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_irrefl__trancl__rD_0) ).

cnf(cls_rtrancl__eq__or__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_0) ).

cnf(cls_rtranclD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtranclD_0) ).

cnf(cls_trancl_Or__into__trancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl_Or__into__trancl_0) ).

cnf(cls_trancl__subset__Field2_0,axiom,
    c_lessequals(c_Transitive__Closure_Otrancl(X1,X2),c_Product__Type_OSigma(c_Relation_OField(X1,X2),c_COMBK(c_Relation_OField(X1,X2),tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__subset__Field2_0) ).

cnf(cls_Range__Int__subset_0,axiom,
    c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(X1,X3,X4),c_Relation_ORange(X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Int__subset_0) ).

cnf(cls_Range__insert_0,axiom,
    c_Relation_ORange(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4) = c_Set_Oinsert(X2,c_Relation_ORange(X5,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__insert_0) ).

cnf(cls_r__into__trancl_H_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Otrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__trancl_H_0) ).

cnf(cls_trancl__domain_0,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__domain_0) ).

cnf(cls_sym__trancl_0,axiom,
    ( c_Relation_Osym(c_Transitive__Closure_Otrancl(X1,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__trancl_0) ).

cnf(cls_wf__trancl_0,axiom,
    ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(X1,X2),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__trancl_0) ).

cnf(cls_trancl__rtrancl__absorb_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__rtrancl__absorb_0) ).

cnf(cls_trans__trancl_0,axiom,
    c_Relation_Otrans(c_Transitive__Closure_Otrancl(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__trancl_0) ).

cnf(cls_trancl__unfold__right_0,axiom,
    c_Transitive__Closure_Otrancl(X1,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__unfold__right_0) ).

cnf(cls_RangeE_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeE_0) ).

cnf(cls_Range__iff_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_0) ).

cnf(cls_trancl__empty_0,axiom,
    c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__empty_0) ).

cnf(cls_in__above_6,axiom,
    ( X1 = X2
    | X1 = X3
    | X1 = X2
    | c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_6) ).

cnf(cls_in__below_6,axiom,
    ( X1 = X2
    | X3 = X1
    | X2 = X1
    | c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_6) ).

cnf(cls_in__above_12,axiom,
    ( X1 = X2
    | X1 = X4
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_12) ).

cnf(cls_in__below_12,axiom,
    ( X1 = X2
    | X4 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_12) ).

cnf(cls_in__above_7,axiom,
    ( X1 = X4
    | X1 = X4
    | X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_7) ).

cnf(cls_in__below_7,axiom,
    ( X2 = X4
    | X4 = X2
    | X4 = X1
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_7) ).

cnf(cls_in__above_11,axiom,
    ( X1 = X2
    | X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_11) ).

cnf(cls_in__below_11,axiom,
    ( X1 = X2
    | X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_11) ).

cnf(cls_Id__O__R_0,axiom,
    c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__O__R_0) ).

cnf(cls_R__O__Id_0,axiom,
    c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_R__O__Id_0) ).

cnf(cls_pair__in__Id__conv_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId(X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__in__Id__conv_0) ).

cnf(cls_rtrancl__trancl__absorb_0,axiom,
    c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trancl__absorb_0) ).

cnf(cls_RangeI_0,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_RangeI_0) ).

cnf(cls_Range__iff_1,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__iff_1) ).

cnf(cls_trancl__id_0,axiom,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X1
    | ~ c_Relation_Otrans(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__id_0) ).

cnf(cls_quotient__eq__iff_0,axiom,
    ( c_in(c_Pair(X4,X1,X3,X3),X6,tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X5,X6,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X5,X6,X3),tc_fun(X3,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X5,X6,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotient__eq__iff_0) ).

cnf(cls_IdE_0,axiom,
    ( X1 = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Relation_OId(X2),tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IdE_0) ).

cnf(cls_IdI_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IdI_0) ).

cnf(cls_pair__in__Id__conv_1,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pair__in__Id__conv_1) ).

cnf(cls_in__above_5,axiom,
    ( X1 = X2
    | X1 = X2
    | X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_5) ).

cnf(cls_in__below_5,axiom,
    ( X1 = X2
    | X2 = X1
    | X2 = X1
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_5) ).

cnf(cls_in__mkbot_4,axiom,
    ( X1 = X2
    | X2 = X1
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_4) ).

cnf(cls_in__mktop_4,axiom,
    ( X1 = X2
    | X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_4) ).

cnf(cls_Image__Id_0,axiom,
    c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Id_0) ).

cnf(cls_converse__Id_0,axiom,
    c_Relation_Oconverse(c_Relation_OId(X1),X1,X1) = c_Relation_OId(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Id_0) ).

cnf(cls_Range__empty_0,axiom,
    c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__empty_0) ).

cnf(cls_Range__converse_0,axiom,
    c_Relation_ORange(c_Relation_Oconverse(X1,X2,X3),X3,X2) = c_Relation_ODomain(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__converse_0) ).

cnf(cls_Range__empty__iff_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ORange(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__empty__iff_0) ).

cnf(cls_trans__Id_0,axiom,
    c_Relation_Otrans(c_Relation_OId(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Id_0) ).

cnf(cls_sym__Id_0,axiom,
    c_Relation_Osym(c_Relation_OId(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Id_0) ).

cnf(cls_antisym__Id_0,axiom,
    c_Relation_Oantisym(c_Relation_OId(X1),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__Id_0) ).

cnf(cls_Range__Id__on_0,axiom,
    c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Range__Id__on_0) ).

cnf(cls_rel__compEpair_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X2,X7,X6),X4,tc_prod(X7,X6))
    | ~ c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compEpair_1) ).

cnf(cls_rel__compEpair_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X5,X7),X3,tc_prod(X5,X7))
    | ~ c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compEpair_0) ).

cnf(cls_cuts__eq_2,axiom,
    ( c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6)
    | hAPP(X1,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X2,X3,X4,X5,X6)) != hAPP(X2,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X2,X3,X4,X5,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_2) ).

cnf(cls_cuts__eq_1,axiom,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X6,X2,X3,X4,X5)
    | c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5),X3,X4,X4),X2,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_1) ).

cnf(cls_Sigma__mono_1,axiom,
    ( c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))
    | ~ c_lessequals(hAPP(X2,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4)),hAPP(X6,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X5,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__mono_1) ).

cnf(cls_Pi__I_1,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | ~ c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5)),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5)),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_1) ).

cnf(cls_Pi__I_H_1,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | ~ c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5)),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5)),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_H_1) ).

cnf(cls_congruent2_Ocongruent2_0,axiom,
    ( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X4),X5)
    | ~ c_in(c_Pair(X3,X5,X6,X6),X7,tc_prod(X6,X6))
    | ~ c_in(c_Pair(X2,X4,X8,X8),X9,tc_prod(X8,X8))
    | ~ c_Equiv__Relations_Ocongruent2(X9,X7,X1,X8,X6,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_congruent2_Ocongruent2_0) ).

cnf(cls_congruent2__implies__congruent_0,axiom,
    ( c_Equiv__Relations_Ocongruent(X1,hAPP(X2,X3),X4,X5)
    | ~ c_in(X3,X6,X7)
    | ~ c_Equiv__Relations_Ocongruent2(X8,X1,X2,X7,X4,X5)
    | ~ c_Equiv__Relations_Oequiv(X6,X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_congruent2__implies__congruent_0) ).

cnf(cls_funcsetI_1,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))
    | ~ c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X2,X3,X1,X5,X4)),X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcsetI_1) ).

cnf(cls_O__assoc_0,axiom,
    c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7) = c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_O__assoc_0) ).

cnf(cls_equiv__class__nondisjoint_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X5,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Equiv__Relations_Oequiv(X6,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__nondisjoint_0) ).

cnf(cls_rel__comp__subset__Sigma_0,axiom,
    ( c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Product__Type_OSigma(X6,c_COMBK(X7,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X8,c_COMBK(X7,tc_fun(X5,tc_bool),X4),X4,X5),tc_fun(tc_prod(X4,X5),tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__subset__Sigma_0) ).

cnf(cls_ImageE_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ImageE_0) ).

cnf(cls_Image__iff_1,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_1) ).

cnf(cls_rel__comp__mono_0,axiom,
    ( c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X7,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))
    | ~ c_lessequals(X2,X7,tc_fun(tc_prod(X4,X5),tc_bool))
    | ~ c_lessequals(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__mono_0) ).

cnf(cls_rel__compI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X3,X7,X4),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X8,X2,X7,X4),X6,tc_prod(X7,X4))
    | ~ c_in(c_Pair(X1,X8,X3,X7),X5,tc_prod(X3,X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__compI_0) ).

cnf(cls_cuts__eq_0,axiom,
    ( hAPP(X1,X7) = hAPP(X6,X7)
    | c_Recdef_Ocut(X1,X2,X3,X4,X5) != c_Recdef_Ocut(X6,X2,X3,X4,X5)
    | ~ c_in(c_Pair(X7,X3,X4,X4),X2,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cuts__eq_0) ).

cnf(cls_wfI_4,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X1,c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X2)
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wfI_4) ).

cnf(cls_converse__rel__comp_0,axiom,
    c_Relation_Oconverse(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X3,X5) = c_Relation_Orel__comp(c_Relation_Oconverse(X2,X4,X5),c_Relation_Oconverse(X1,X3,X4),X5,X4,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rel__comp_0) ).

cnf(cls_wf__comp__self_1,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__comp__self_1) ).

cnf(cls_subset__equiv__class_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X2,X5,X3)
    | ~ c_lessequals(c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X5,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__equiv__class_0) ).

cnf(cls_Sigma__mono_0,axiom,
    ( c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))
    | c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4),X1,X3)
    | ~ c_lessequals(X1,X5,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__mono_0) ).

cnf(cls_in__above_14,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_14) ).

cnf(cls_in__below_14,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_14) ).

cnf(cls_funcsetI_0,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))
    | c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X2,X3,X1,X5,X4),X2,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcsetI_0) ).

cnf(cls_tfl__cut__apply_0,axiom,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | ~ c_in(c_Pair(X6,X3,X4,X4),X2,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_tfl__cut__apply_0) ).

cnf(cls_cut__apply_0,axiom,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | ~ c_in(c_Pair(X6,X3,X4,X4),X2,tc_prod(X4,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cut__apply_0) ).

cnf(cls_ImageE_1,axiom,
    ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ImageE_1) ).

cnf(cls_Image__iff_0,axiom,
    ( c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_0) ).

cnf(cls_refl__onI_1,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),X3,X3),X2,tc_prod(X3,X3))
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onI_1) ).

cnf(cls_refl__on__def_3,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),X3,X3),X2,tc_prod(X3,X3))
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_3) ).

cnf(cls_Pi__I_0,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5),X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_0) ).

cnf(cls_Pi__I_H_0,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5),X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__I_H_0) ).

cnf(cls_image__Int__subset_0,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).

cnf(cls_Image__Int__subset_0,axiom,
    c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Int__subset_0) ).

cnf(cls_equiv__class__subset_0,axiom,
    ( c_lessequals(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__subset_0) ).

cnf(cls_Times__subset__cancel2_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),c_Product__Type_OSigma(X2,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))
    | ~ c_in(X6,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__subset__cancel2_0) ).

cnf(cls_refl__on__comp__subset_0,axiom,
    ( c_lessequals(X1,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Relation_Orefl__on(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__comp__subset_0) ).

cnf(cls_sym__trans__comp__subset_0,axiom,
    ( c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Osym(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__trans__comp__subset_0) ).

cnf(cls_wf__insert_1,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_1) ).

cnf(cls_in__below_10,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_10) ).

cnf(cls_in__above_8,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X5
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_8) ).

cnf(cls_in__below_8,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_8) ).

cnf(cls_in__above_10,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X5
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_10) ).

cnf(cls_in__above_13,axiom,
    ( X1 = X4
    | X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_13) ).

cnf(cls_in__below_13,axiom,
    ( X4 = X2
    | X4 = X1
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_13) ).

cnf(cls_trans__O__subset_0,axiom,
    ( c_lessequals(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Relation_Otrans(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__O__subset_0) ).

cnf(cls_rtrancl__trans_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__trans_0) ).

cnf(cls_r__comp__rtrancl__eq_0,axiom,
    c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__comp__rtrancl__eq_0) ).

cnf(cls_trancl__subset__Sigma__aux_0,axiom,
    ( c_in(X1,X2,X3)
    | X1 = X4
    | ~ c_lessequals(X5,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X5,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trancl__subset__Sigma__aux_0) ).

cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__rtrancl__into__rtrancl_0) ).

cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__into__rtrancl_0) ).

cnf(cls_wf__comp__self_0,axiom,
    ( c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__comp__self_0) ).

cnf(cls_trans__def_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Otrans(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__def_0) ).

cnf(cls_transD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Otrans(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_transD_0) ).

cnf(cls_in__inv__image_0,axiom,
    ( c_in(c_Pair(hAPP(X1,X2),hAPP(X1,X3),X4,X4),X5,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X6,X6),c_Relation_Oinv__image(X5,X1,X4,X6),tc_prod(X6,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__inv__image_0) ).

cnf(cls_Times__Int__distrib1_0,axiom,
    c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),c_Product__Type_OSigma(X2,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__Int__distrib1_0) ).

cnf(cls_equiv__class__eq__iff_3,axiom,
    ( c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
    | ~ c_in(X4,X5,X3)
    | ~ c_in(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_3) ).

cnf(cls_eq__equiv__class__iff_0,axiom,
    ( c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(X4,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__equiv__class__iff_0) ).

cnf(cls_comp__equivI_0,axiom,
    ( c_Equiv__Relations_Oequiv(c_Relation_ODomain(X1,X2,X2),X1,X2)
    | c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comp__equivI_0) ).

cnf(cls_eq__equiv__class_0,axiom,
    ( c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(X4,X5,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__equiv__class_0) ).

cnf(cls_in__inv__image_1,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(X4,X5,X6,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(hAPP(X5,X1),hAPP(X5,X2),X6,X6),X4,tc_prod(X6,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__inv__image_1) ).

cnf(cls_Image__singleton__iff_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_OImage(X5,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__singleton__iff_0) ).

cnf(cls_eq__equiv__class__iff_1,axiom,
    ( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_in(X4,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__equiv__class__iff_1) ).

cnf(cls_wf__no__loop_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_Relation_Orel__comp(X1,X1,X2,X2,X2) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__no__loop_0) ).

cnf(cls_Image__subset_0,axiom,
    ( c_lessequals(c_Relation_OImage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__subset_0) ).

cnf(cls_wfI_2,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X3,X2)
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wfI_2) ).

cnf(cls_wfI_3,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X4,X2)
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wfI_3) ).

cnf(cls_funcset__image_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcset__image_0) ).

cnf(cls_notin__Lin__iff_1,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_notin__Lin__iff_1) ).

cnf(cls_Lin__irrefl_0,axiom,
    ( ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lin__irrefl_0) ).

cnf(cls_Times__subset__cancel2_1,axiom,
    ( c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),tc_fun(tc_prod(X4,X3),tc_bool))
    | ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool))
    | ~ c_in(X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__subset__cancel2_1) ).

cnf(cls_equiv__class__eq__iff_0,axiom,
    ( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_0) ).

cnf(cls_equiv__class__eq_0,axiom,
    ( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__eq_0) ).

cnf(cls_rtrancl__converseD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseD_0) ).

cnf(cls_Image__singleton__iff_1,axiom,
    ( c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X5),X5)
    | ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__singleton__iff_1) ).

cnf(cls_Refl__antisym__eq__Image1__Image1__iff_0,axiom,
    ( X2 = X4
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(X4,c_Relation_OField(X1,X3),X3)
    | ~ c_in(X2,c_Relation_OField(X1,X3),X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Relation_Orefl__on(c_Relation_OField(X1,X3),X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Refl__antisym__eq__Image1__Image1__iff_0) ).

cnf(cls_wf__insert_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_0) ).

cnf(cls_antisymD_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Oantisym(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisymD_0) ).

cnf(cls_antisym__def_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Oantisym(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__def_0) ).

cnf(cls_wf__asym_0,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__asym_0) ).

cnf(cls_DomainE_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainE_0) ).

cnf(cls_Domain__iff_0,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_0) ).

cnf(cls_in__above_2,axiom,
    ( X1 = X2
    | X4 = X2
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_2) ).

cnf(cls_in__below_2,axiom,
    ( X1 = X2
    | X2 = X4
    | c_in(c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_2) ).

cnf(cls_in__above_3,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X1 = X4
    | X5 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X5,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_3) ).

cnf(cls_in__below_3,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X2 = X4
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_3) ).

cnf(cls_in__above_1,axiom,
    ( X4 = X1
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_1) ).

cnf(cls_in__below_1,axiom,
    ( X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_1) ).

cnf(cls_finite__equiv__class_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X3,X4,X2),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X4,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__equiv__class_0) ).

cnf(cls_wf__insert_2,axiom,
    ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__insert_2) ).

cnf(cls_SigmaD2_0,axiom,
    ( c_in(X1,hAPP(X2,X3),X4)
    | ~ c_in(c_Pair(X3,X1,X5,X4),c_Product__Type_OSigma(X6,X2,X5,X4),tc_prod(X5,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD2_0) ).

cnf(cls_rtrancl__converseI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converseI_0) ).

cnf(cls_quotient__eqI_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X3,X4,X5,X5),X6,tc_prod(X5,X5))
    | ~ c_in(X4,X2,X5)
    | ~ c_in(X3,X1,X5)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X7,X6,X5),tc_fun(X5,tc_bool))
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X7,X6,X5),tc_fun(X5,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X7,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotient__eqI_0) ).

cnf(cls_in__below_4,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X2 = X4
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_4) ).

cnf(cls_in__above_4,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X5
    | X1 = X5
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_4) ).

cnf(cls_in__below_9,axiom,
    ( X1 = X4
    | X4 = X2
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_9) ).

cnf(cls_in__above_9,axiom,
    ( X4 = X2
    | X1 = X4
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_9) ).

cnf(cls_quotientE_0,axiom,
    ( X1 = c_Relation_OImage(X2,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(X3,X1,X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X4)
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X3,X2,X4),tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotientE_0) ).

cnf(cls_SigmaD1_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X6,X3,X5),tc_prod(X3,X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaD1_0) ).

cnf(cls_eq__equiv__class__iff2_1,axiom,
    ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
    | ~ c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X4,X5,X2)
    | ~ c_in(X1,X5,X2)
    | ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__equiv__class__iff2_1) ).

cnf(cls_refl__onI_0,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),X1,X3)
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onI_0) ).

cnf(cls_refl__on__def_2,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),X1,X3)
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_2) ).

cnf(cls_eq__equiv__class__iff2_0,axiom,
    ( c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2))
    | c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
    | ~ c_in(X4,X5,X2)
    | ~ c_in(X1,X5,X2)
    | ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__equiv__class__iff2_0) ).

cnf(cls_converseD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseD_0) ).

cnf(cls_converse__iff_1,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__iff_1) ).

cnf(cls_converseI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converseI_0) ).

cnf(cls_funcset__mem_0,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_in(X1,c_FuncSet_OPi(X5,c_COMBK(X3,tc_fun(X4,tc_bool),X6),X6,X4),tc_fun(X6,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_funcset__mem_0) ).

cnf(cls_Image__iff_2,axiom,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__iff_2) ).

cnf(cls_rev__ImageI_0,axiom,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__ImageI_0) ).

cnf(cls_Sigma__Int__distrib1_0,axiom,
    c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,X3,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X4,X3,X5),tc_fun(tc_prod(X3,X5),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__Int__distrib1_0) ).

cnf(cls_symD_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Osym(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symD_0) ).

cnf(cls_sym__def_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Osym(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__def_0) ).

cnf(cls_in__mkbot_2,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_2) ).

cnf(cls_in__mktop_2,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_2) ).

cnf(cls_in__mktop_5,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_5) ).

cnf(cls_in__mkbot_5,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X2 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_5) ).

cnf(cls_in__mkbot_3,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X2 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_3) ).

cnf(cls_in__mktop_3,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_3) ).

cnf(cls_rel__comp__empty1_0,axiom,
    c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X3,X1,X2,X4) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X4),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__empty1_0) ).

cnf(cls_rel__comp__empty2_0,axiom,
    c_Relation_Orel__comp(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X3),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rel__comp__empty2_0) ).

cnf(cls_wf__eq__minimal_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X2,X4,X3),X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X5,X2,X3)
    | ~ c_Wellfounded_Owf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__eq__minimal_1) ).

cnf(cls_wfE__min_1,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X2,X4,X3),X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X5,X2,X3)
    | ~ c_Wellfounded_Owf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wfE__min_1) ).

cnf(cls_acc__induct__rule_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct__rule_1) ).

cnf(cls_acc__induct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct_1) ).

cnf(cls_total__on__def_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | X2 = X1
    | ~ c_in(X1,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Relation_Ototal__on(X5,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__def_0) ).

cnf(cls_equiv__comp__eq_0,axiom,
    ( c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2) = X1
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__comp__eq_0) ).

cnf(cls_Image__mono_0,axiom,
    ( c_lessequals(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X6,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__mono_0) ).

cnf(cls_Domain__insert_0,axiom,
    c_Relation_ODomain(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4) = c_Set_Oinsert(X1,c_Relation_ODomain(X5,X3,X4),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__insert_0) ).

cnf(cls_Times__eq__cancel2_0,axiom,
    ( X1 = X5
    | c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3) != c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3)
    | ~ c_in(X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Times__eq__cancel2_0) ).

cnf(cls_congruent_Ocongruent_0,axiom,
    ( hAPP(X1,X2) = hAPP(X1,X3)
    | ~ c_in(c_Pair(X2,X3,X4,X4),X5,tc_prod(X4,X4))
    | ~ c_Equiv__Relations_Ocongruent(X5,X1,X4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_congruent_Ocongruent_0) ).

cnf(cls_notin__Lin__iff_0,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X1
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_notin__Lin__iff_0) ).

cnf(cls_SigmaI_0,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_SigmaI_0) ).

cnf(cls_mem__Sigma__iff_2,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__Sigma__iff_2) ).

cnf(cls_Domain__Int__subset_0,axiom,
    c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X1,X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Int__subset_0) ).

cnf(cls_rtrancl__idemp__self__comp_0,axiom,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp__self__comp_0) ).

cnf(cls_in__above_0,axiom,
    ( X3 = X4
    | ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X2,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__above_0) ).

cnf(cls_in__below_0,axiom,
    ( X3 = X4
    | ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X2,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__below_0) ).

cnf(cls_acc_Oinducts_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinducts_0) ).

cnf(cls_acc_Oinduct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinduct_0) ).

cnf(cls_image__mono_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).

cnf(cls_subset__image__iff_2,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).

cnf(cls_quotientI_0,axiom,
    ( c_in(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Equiv__Relations_Oquotient(X4,X1,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotientI_0) ).

cnf(cls_acc__downwards__aux_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__downwards__aux_0) ).

cnf(cls_acc__downwards_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__downwards_0) ).

cnf(cls_acc_Oinducts_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinducts_1) ).

cnf(cls_acc_Oinduct_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinduct_1) ).

cnf(cls_equiv__class__self_0,axiom,
    ( c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_Equiv__Relations_Oequiv(X4,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__self_0) ).

cnf(cls_acc_Ocases_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Ocases_0) ).

cnf(cls_acc__downward_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__downward_0) ).

cnf(cls_Not__Domain__rtrancl_0,axiom,
    ( X1 = X2
    | c_in(X1,c_Relation_ODomain(X4,X3,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_0) ).

cnf(cls_Pi__mem_0,axiom,
    ( c_in(hAPP(X1,X2),hAPP(X3,X2),X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_in(X1,c_FuncSet_OPi(X5,X3,X6,X4),tc_fun(X6,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pi__mem_0) ).

cnf(cls_PiE_0,axiom,
    ( c_in(hAPP(X4,X1),hAPP(X5,X1),X6)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_FuncSet_OPi(X2,X5,X3,X6),tc_fun(X3,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PiE_0) ).

cnf(cls_Nitpick_Orefl_H__def_1,axiom,
    ( c_Nitpick_Orefl_H(X1,X2)
    | ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),X2,X2),X1,tc_prod(X2,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_1) ).

cnf(cls_image__subset__iff_0,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).

cnf(cls_DomainI_0,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_DomainI_0) ).

cnf(cls_Domain__iff_1,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__iff_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    ( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_equiv__class__eq__iff_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_1) ).

cnf(cls_equiv__class__eq__iff_2,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__class__eq__iff_2) ).

cnf(cls_refl__onD1_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onD1_0) ).

cnf(cls_refl__onD2_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onD2_0) ).

cnf(cls_equiv__type_0,axiom,
    ( c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv__type_0) ).

cnf(cls_refl__on__def_0,axiom,
    ( c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_Relation_Orefl__on(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_0) ).

cnf(cls_Id__on__iff_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__iff_1) ).

cnf(cls_Id__on__subset__Times_0,axiom,
    c_lessequals(c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__subset__Times_0) ).

cnf(cls_wfE__pf_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Relation_OImage(X3,X1,X2,X2),tc_fun(X2,tc_bool))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wfE__pf_0) ).

cnf(cls_Id__on__iff_0,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__iff_0) ).

cnf(cls_finite__surj_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__surj_0) ).

cnf(cls_image__insert_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).

cnf(cls_wf__irrefl_0,axiom,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__irrefl_0) ).

cnf(cls_in__mkbot_1,axiom,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_1) ).

cnf(cls_in__mktop_1,axiom,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_1) ).

cnf(cls_in__mkbot_0,axiom,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mkbot_0) ).

cnf(cls_in__mktop_0,axiom,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__mktop_0) ).

cnf(cls_insert__image_0,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).

cnf(cls_converse__inv__image_0,axiom,
    c_Relation_Oconverse(c_Relation_Oinv__image(X1,X2,X3,X4),X4,X4) = c_Relation_Oinv__image(c_Relation_Oconverse(X1,X3,X3),X2,X3,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__inv__image_0) ).

cnf(cls_acc_OaccI_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),X1,X3,X3),X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_0) ).

cnf(cls_not__acc__down_0,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))
    | c_in(X2,c_Wellfounded_Oacc(X1,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_0) ).

cnf(cls_quotientE_1,axiom,
    ( c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(X1,X2,X3,X4),X1,X4)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X1,X3,X4),tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotientE_1) ).

cnf(cls_doubleton__eq__iff_0,axiom,
    ( X1 = X5
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).

cnf(cls_doubleton__eq__iff_1,axiom,
    ( X2 = X4
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).

cnf(cls_doubleton__eq__iff_2,axiom,
    ( X1 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).

cnf(cls_doubleton__eq__iff_3,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).

cnf(cls_Pair__eq_0,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).

cnf(cls_Pair__eq_1,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).

cnf(cls_quotient__disj_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X4,X5,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_quotient__disj_0) ).

cnf(cls_Not__Domain__rtrancl_1,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | c_in(c_Pair(X1,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Not__Domain__rtrancl_1) ).

cnf(cls_refl__onD_0,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__onD_0) ).

cnf(cls_refl__on__def_1,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__def_1) ).

cnf(cls_Id__on__eqI_0,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId__on(X3,X2),tc_prod(X2,X2))
    | ~ c_in(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__eqI_0) ).

cnf(cls_imageI_0,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).

cnf(cls_image__eqI_0,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).

cnf(cls_image__iff_2,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).

cnf(cls_rev__image__eqI_0,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).

cnf(cls_converse__Int_0,axiom,
    c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X3,X4),c_Relation_Oconverse(X2,X3,X4),tc_fun(tc_prod(X4,X3),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Int_0) ).

cnf(cls_refl__on__Int_0,axiom,
    ( c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Relation_Orefl__on(X2,X5,X3)
    | ~ c_Relation_Orefl__on(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__Int_0) ).

cnf(cls_Id__onE_1,axiom,
    ( X1 = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X2,X1,X3),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X2,X1,X3),X3,X3)
    | ~ c_in(X1,c_Relation_OId__on(X2,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__onE_1) ).

cnf(cls_Int__mono_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__mono_0) ).

cnf(cls_Inf__binary_0,axiom,
    ( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inf__binary_0) ).

cnf(cls_rtrancl__eq__or__trancl_1,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__eq__or__trancl_1) ).

cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl_Ortrancl__refl_0) ).

cnf(cls_Nitpick_Orefl_H__def_0,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Nitpick_Orefl_H(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_0) ).

cnf(cls_subset__singletonD_0,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).

cnf(cls_Sigma__empty2_0,axiom,
    c_Product__Type_OSigma(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X3),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X2),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__empty2_0) ).

cnf(cls_inf1E_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_0) ).

cnf(cls_inf1E_1,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1E_1) ).

cnf(cls_image__constant_0,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ c_in(X5,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant_0) ).

cnf(cls_acc__induct__rule_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct__rule_2) ).

cnf(cls_acc__induct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct_2) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).

cnf(cls_trans__inv__image_0,axiom,
    ( c_Relation_Otrans(c_Relation_Oinv__image(X1,X2,X3,X4),X4)
    | ~ c_Relation_Otrans(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__inv__image_0) ).

cnf(cls_sym__inv__image_0,axiom,
    ( c_Relation_Osym(c_Relation_Oinv__image(X1,X2,X3,X4),X4)
    | ~ c_Relation_Osym(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__inv__image_0) ).

cnf(cls_finite__imageI_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__imageI_0) ).

cnf(cls_wf__inv__image_0,axiom,
    ( c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__inv__image_0) ).

cnf(cls_Union__disjoint_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_in(X4,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Union__disjoint_0) ).

cnf(cls_insert__inter__insert_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).

cnf(cls_Domain__mono_0,axiom,
    ( c_lessequals(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X4,X2,X3),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__mono_0) ).

cnf(cls_image__constant__conv_1,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).

cnf(cls_sym__Int__converse_0,axiom,
    c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Int__converse_0) ).

cnf(cls_Int__insert__left_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).

cnf(cls_Int__insert__right_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X2,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).

cnf(cls_rtrancl__subset_0,axiom,
    ( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X3,X2)
    | ~ c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__subset_0) ).

cnf(cls_Int__subset__iff_2,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).

cnf(cls_Int__greatest_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__greatest_0) ).

cnf(cls_Int__assoc_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__assoc_0) ).

cnf(cls_Int__left__commute_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).

cnf(cls_empty__is__image_0,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).

cnf(cls_image__is__empty_0,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).

cnf(cls_converse__in__Lin_0,axiom,
    ( c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__in__Lin_0) ).

cnf(cls_Int__subset__iff_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).

cnf(cls_Int__subset__iff_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).

cnf(cls_image__constant__conv_0,axiom,
    c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__constant__conv_0) ).

cnf(cls_inf1I_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1I_0) ).

cnf(cls_rtrancl__subset__rtrancl_0,axiom,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__subset__rtrancl_0) ).

cnf(cls_subset__insert__iff_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).

cnf(cls_subset__insert_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_0) ).

cnf(cls_singletonE_0,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).

cnf(cls_insert__code_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).

cnf(cls_insert__mono_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).

cnf(cls_above__Lin_0,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X2 = X3
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_above__Lin_0) ).

cnf(cls_below__Lin_0,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X2 = X3
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_below__Lin_0) ).

cnf(cls_converse__in__Lin_1,axiom,
    ( c_in(c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__in__Lin_1) ).

cnf(cls_insert__subset_2,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).

cnf(cls_rtrancl__mono_0,axiom,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__mono_0) ).

cnf(cls_IntE_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_0) ).

cnf(cls_IntE_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntE_1) ).

cnf(cls_InterI_1,axiom,
    ( c_in(X1,c_Complete__Lattice_OInf__class_OInf(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_InterI_1) ).

cnf(cls_IntI_0,axiom,
    ( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_IntI_0) ).

cnf(cls_Int__iff_2,axiom,
    ( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__iff_2) ).

cnf(cls_Sigma__empty1_0,axiom,
    c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X3),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sigma__empty1_0) ).

cnf(cls_InterD_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,c_Complete__Lattice_OInf__class_OInf(X4,tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_InterD_0) ).

cnf(cls_acc_OaccI_1,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_OaccI_1) ).

cnf(cls_not__acc__down_1,axiom,
    ( c_in(X2,c_Wellfounded_Oacc(X1,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),c_Wellfounded_Oacc(X1,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__acc__down_1) ).

cnf(cls_insert__subset_1,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).

cnf(cls_subset__insert__iff_2,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).

cnf(cls_subset__insert_1,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).

cnf(cls_Image__Id__on_0,axiom,
    c_Relation_OImage(c_Relation_OId__on(X1,X2),X3,X2,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__Id__on_0) ).

cnf(cls_acc__induct__rule_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct__rule_0) ).

cnf(cls_acc__induct_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__induct_0) ).

cnf(cls_insert__subset_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).

cnf(cls_le__infI_0,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI_0) ).

cnf(cls_le__inf__iff_2,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).

cnf(cls_inf__greatest_0,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__greatest_0) ).

cnf(cls_disjoint__iff__not__equal_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).

cnf(cls_singleton__inject_0,axiom,
    ( X1 = X3
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).

cnf(cls_UnionI_0,axiom,
    ( c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_in(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnionI_0) ).

cnf(cls_acc__subset_0,axiom,
    ( c_lessequals(c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X3,X2),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__subset_0) ).

cnf(cls_mono__Field_0,axiom,
    ( c_lessequals(c_Relation_OField(X1,X2),c_Relation_OField(X3,X2),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mono__Field_0) ).

cnf(cls_inf__sup__aci_I2_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).

cnf(cls_inf__assoc_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__assoc_0) ).

cnf(cls_inf__sup__aci_I3_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).

cnf(cls_inf__left__commute_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__commute_0) ).

cnf(cls_Id__onE_0,axiom,
    ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__onE_0) ).

cnf(cls_image__empty_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).

cnf(cls_Image__empty_0,axiom,
    c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Image__empty_0) ).

cnf(cls_empty__is__image_1,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).

cnf(cls_mkbot__Lin_0,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mkbot__Lin_0) ).

cnf(cls_mktop__Lin_0,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Omktop(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mktop__Lin_0) ).

cnf(cls_insert__commute_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).

cnf(cls_subset__trans_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).

cnf(cls_Int__insert__left_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
    | c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).

cnf(cls_Int__insert__right_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).

cnf(cls_trans__Int_0,axiom,
    ( c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Relation_Otrans(X2,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Int_0) ).

cnf(cls_sym__Int_0,axiom,
    ( c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Relation_Osym(X2,X3)
    | ~ c_Relation_Osym(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Int_0) ).

cnf(cls_le__infE_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_0) ).

cnf(cls_le__inf__iff_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).

cnf(cls_le__infE_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infE_1) ).

cnf(cls_le__inf__iff_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).

cnf(cls_insertE_0,axiom,
    ( c_in(X1,X2,X3)
    | X1 = X4
    | ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).

cnf(cls_InterI_0,axiom,
    ( c_in(X1,c_Complete__Lattice_OInf__class_OInf(X2,tc_fun(X3,tc_bool)),X3)
    | c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X1,X2,X3),X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_InterI_0) ).

cnf(cls_total__on__converse_0,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__converse_0) ).

cnf(cls_refl__on__converse_0,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_0) ).

cnf(cls_Int__left__absorb_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).

cnf(cls_subset__insertI2_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).

cnf(cls_wf__Int1_0,axiom,
    ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__Int1_0) ).

cnf(cls_wf__Int2_0,axiom,
    ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__Int2_0) ).

cnf(cls_insert__code_2,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).

cnf(cls_less__by__empty_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X2,tc_fun(tc_prod(X1,X1),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__by__empty_0) ).

cnf(cls_insert__ident_0,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,X2,X3)
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).

cnf(cls_acc_Oinducts_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinducts_2) ).

cnf(cls_acc_Oinduct_2,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc_Oinduct_2) ).

cnf(cls_Inter__lower_0,axiom,
    ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))
    | ~ c_in(X3,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inter__lower_0) ).

cnf(cls_Union__upper_0,axiom,
    ( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Union__upper_0) ).

cnf(cls_wf__eq__minimal_0,axiom,
    ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X1,X2,X3),X1,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__eq__minimal_0) ).

cnf(cls_wfE__min_0,axiom,
    ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X1,X2,X3),X1,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wfE__min_0) ).

cnf(cls_singleton__iff_1,axiom,
    c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).

cnf(cls_set__mp_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).

cnf(cls_subsetD_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).

cnf(cls_set__rev__mp_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).

cnf(cls_subset__iff_0,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).

cnf(cls_refl__on__empty_0,axiom,
    c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__empty_0) ).

cnf(cls_le__infI1_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI1_0) ).

cnf(cls_le__infI2_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__infI2_0) ).

cnf(cls_total__on__converse_1,axiom,
    ( c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__converse_1) ).

cnf(cls_refl__on__converse_1,axiom,
    ( c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__converse_1) ).

cnf(cls_insertCI_0,axiom,
    ( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).

cnf(cls_insert__iff_2,axiom,
    ( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).

cnf(cls_equalityI_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).

cnf(cls_set__eq__subset_2,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

cnf(cls_le__funD_0,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).

cnf(cls_antisym__subset_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X3,X2)
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__subset_0) ).

cnf(cls_wf__subset_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__subset_0) ).

cnf(cls_Domain__empty_0,axiom,
    c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__empty_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_r__into__rtrancl_0,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_r__into__rtrancl_0) ).

cnf(cls_Sup__singleton_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__singleton_0) ).

cnf(cls_Inf__singleton_0,axiom,
    ( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inf__singleton_0) ).

cnf(cls_subset__empty_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).

cnf(cls_finite__Inter_0,axiom,
    ( c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_in(X3,X1,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Inter_0) ).

cnf(cls_Union__quotient_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(X1,X2,X3),tc_fun(X3,tc_bool)) = X1
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Union__quotient_0) ).

cnf(cls_Int__lower1_0,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower1_0) ).

cnf(cls_Int__lower2_0,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__lower2_0) ).

cnf(cls_inf__sup__aci_I4_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).

cnf(cls_inf__left__idem_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__left__idem_0) ).

cnf(cls_insert__absorb2_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).

cnf(cls_bex__empty_0,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).

cnf(cls_bot1E_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

cnf(cls_Inf__insert_0,axiom,
    ( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Complete__Lattice_OInf__class_OInf(X3,X1),X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inf__insert_0) ).

cnf(cls_Domain__empty__iff_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ODomain(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__empty__iff_0) ).

cnf(cls_trans__converse_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__converse_0) ).

cnf(cls_sym__converse_0,axiom,
    ( c_Relation_Osym(X1,X2)
    | ~ c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__converse_0) ).

cnf(cls_antisym__converse_0,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__converse_0) ).

cnf(cls_finite__insert_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__insert_0) ).

cnf(cls_rtrancl__converse_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__converse_0) ).

cnf(cls_Int__absorb2_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).

cnf(cls_Int__absorb1_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).

cnf(cls_predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).

cnf(cls_rev__predicate1D_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).

cnf(cls_ball__empty_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).

cnf(cls_Field__empty_0,axiom,
    c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Field__empty_0) ).

cnf(cls_finite__Int_0,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_0) ).

cnf(cls_finite__Int_1,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__Int_1) ).

cnf(cls_subset__insertI_0,axiom,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).

cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).

cnf(cls_wf__acc__iff_1,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__acc__iff_1) ).

cnf(cls_acc__wfI_0,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__wfI_0) ).

cnf(cls_order__eq__iff_2,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).

cnf(cls_order__antisym_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).

cnf(cls_order__antisym__conv_0,axiom,
    ( X2 = X3
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).

cnf(cls_subset__empty_1,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).

cnf(cls_Inf__lower_0,axiom,
    ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ c_in(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Inf__lower_0) ).

cnf(cls_Sup__upper_0,axiom,
    ( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ c_in(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__upper_0) ).

cnf(cls_antisym__empty_0,axiom,
    c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__empty_0) ).

cnf(cls_wf__empty_0,axiom,
    c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wf__empty_0) ).

cnf(cls_inf__sup__ord_I1_J_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).

cnf(cls_inf__le1_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le1_0) ).

cnf(cls_inf__sup__ord_I2_J_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).

cnf(cls_inf__le2_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__le2_0) ).

cnf(cls_ex__in__conv_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

cnf(cls_empty__iff_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).

cnf(cls_emptyE_0,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).

cnf(cls_converse__converse_0,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__converse_0) ).

cnf(cls_insertCI_1,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

cnf(cls_insertI1_0,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).

cnf(cls_insert__iff_1,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).

cnf(cls_rev__finite__subset_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__finite__subset_0) ).

cnf(cls_finite__subset_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__subset_0) ).

cnf(cls_Int__empty__left_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__left_0) ).

cnf(cls_Int__empty__right_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__empty__right_0) ).

cnf(cls_Int__commute_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__commute_0) ).

cnf(cls_le__iff__inf_1,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).

cnf(cls_le__iff__inf_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).

cnf(cls_inf__absorb2_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).

cnf(cls_Id__on__empty_0,axiom,
    c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Id__on__empty_0) ).

cnf(cls_trans__converse_1,axiom,
    ( c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Relation_Otrans(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__converse_1) ).

cnf(cls_sym__converse_1,axiom,
    ( c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__converse_1) ).

cnf(cls_antisym__converse_1,axiom,
    ( c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__converse_1) ).

cnf(cls_finite__insert_1,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__insert_1) ).

cnf(cls_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

cnf(cls_equiv_Orefl__on_0,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Orefl__on_0) ).

cnf(cls_Field__converse_0,axiom,
    c_Relation_OField(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_OField(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Field__converse_0) ).

cnf(cls_empty__subsetI_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).

cnf(cls_empty__not__insert_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).

cnf(cls_insert__not__empty_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).

cnf(cls_COMBK__def_0,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBK__def_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_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_inf__sup__aci_I1_J_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).

cnf(cls_inf__commute_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__commute_0) ).

cnf(cls_CHAINED_0,axiom,
    c_in(v_R____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_linear__alt_0,axiom,
    c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linear__alt_0) ).

cnf(cls_total__on__empty_0,axiom,
    c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_total__on__empty_0) ).

cnf(cls_acc__wfD_0,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_acc__wfD_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_sym__conv__converse__eq_1,axiom,
    ( c_Relation_Osym(X1,X2)
    | c_Relation_Oconverse(X1,X2,X2) != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_1) ).

cnf(cls_equiv_Otrans_0,axiom,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Otrans_0) ).

cnf(cls_equiv_Osym_0,axiom,
    ( c_Relation_Osym(X1,X2)
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equiv_Osym_0) ).

cnf(cls_converse__Id__on_0,axiom,
    c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2) = c_Relation_OId__on(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_converse__Id__on_0) ).

cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

cnf(cls_Domain__Id__on_0,axiom,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Domain__Id__on_0) ).

cnf(cls_refl__on__Id__on_0,axiom,
    c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_refl__on__Id__on_0) ).

cnf(cls_Int__absorb_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Int__absorb_0) ).

cnf(cls_sym__conv__converse__eq_0,axiom,
    ( c_Relation_Oconverse(X1,X2,X2) = X1
    | ~ c_Relation_Osym(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_0) ).

cnf(cls_equalityE_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).

cnf(cls_subset__refl_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).

cnf(cls_Sup__empty_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Sup__empty_0) ).

cnf(cls_inf__bot__left_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__left_0) ).

cnf(cls_inf__bot__right_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__bot__right_0) ).

cnf(cls_bot__least_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).

cnf(cls_finite_OemptyI_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_OemptyI_0) ).

cnf(cls_sym__rtrancl_0,axiom,
    ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__rtrancl_0) ).

cnf(cls_inf__idem_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__idem_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_ATP__Linkup_Oequal__imp__fequal_0,axiom,
    c_fequal(X1,X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

cnf(cls_rtrancl__idemp_0,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rtrancl__idemp_0) ).

cnf(clsarity_prod__Finite__Set_Ofinite_Ofinite,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_prod__Finite__Set_Ofinite_Ofinite) ).

cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

cnf(cls_trans__rtrancl_0,axiom,
    c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__rtrancl_0) ).

cnf(cls_trans__Id__on_0,axiom,
    c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_trans__Id__on_0) ).

cnf(cls_sym__Id__on_0,axiom,
    c_Relation_Osym(c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__Id__on_0) ).

cnf(cls_antisym__Id__on_0,axiom,
    c_Relation_Oantisym(c_Relation_OId__on(X1,X2),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_antisym__Id__on_0) ).

cnf(clsarity_fun__HOL_Oord,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

cnf(clsarity_fun__Orderings_Oorder,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

cnf(clsarity_fun__Orderings_Opreorder,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

cnf(clsarity_fun__Lattices_Olattice,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).

cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

cnf(clsarity_fun__Orderings_Obot,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).

cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).

cnf(cls_finite_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite_0) ).

cnf(clsarity_bool__HOL_Oord,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

cnf(clsarity_bool__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).

cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).

cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

cnf(clsarity_bool__Orderings_Obot,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).

cnf(cls_assms_0,axiom,
    v_a != v_b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_assms_0) ).

cnf(i_0_531,axiom,
    ( c_lessequals(c_Transitive__Closure_Otrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_trancl__Int__subset_0 ).

cnf(i_0_532,axiom,
    c_Transitive__Closure_Otrancl(X1,X2) = c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),
    cls_trancl__unfold__left_0 ).

cnf(i_0_533,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__trans_0 ).

cnf(i_0_534,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3)) ),
    cls_trancl__converseI_0 ).

cnf(i_0_535,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X4,X3),X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    cls_trancl__converseD_0 ).

cnf(i_0_536,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__trancl__trancl_0 ).

cnf(i_0_537,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__rtrancl__trancl_0 ).

cnf(i_0_538,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_trancl__into__trancl2_0 ).

cnf(i_0_539,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Transitive__Closure_Otrancl__into__trancl_0 ).

cnf(i_0_540,axiom,
    ( c_in(X1,c_Transitive__Closure_Otrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_lessequals(X4,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_in(X1,c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__mono_0 ).

cnf(i_0_541,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    cls_tranclD_1 ).

cnf(i_0_542,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    cls_tranclD2_0 ).

cnf(i_0_543,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4)) ),
    cls_tranclD2_1 ).

cnf(i_0_544,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Transitive__Closure_Otrancl(X2,X4),tc_prod(X4,X4)) ),
    cls_tranclD_0 ).

cnf(i_0_545,axiom,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_OId(X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_rtrancl__Int__subset_0 ).

cnf(i_0_546,axiom,
    c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Relation_OId(X1),
    cls_rtrancl__empty_0 ).

cnf(i_0_547,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__eq__or__trancl_2 ).

cnf(i_0_548,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_trancl__into__rtrancl_0 ).

cnf(i_0_549,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_fun(tc_prod(X2,X2),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_in(c_Pair(X3,X3,X2,X2),c_Transitive__Closure_Otrancl(X1,X2),tc_prod(X2,X2)) ),
    cls_irrefl__tranclI_0 ).

cnf(i_0_550,axiom,
    c_Relation_ORange(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ORange(X1,X2,X2),
    cls_trancl__range_0 ).

cnf(i_0_551,axiom,
    c_Relation_ORange(X1,X2,X3) = c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2),
    cls_Range__def_0 ).

cnf(i_0_552,axiom,
    ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),X2)
    | ~ c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_wf__converse__trancl_0 ).

cnf(i_0_553,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_rtrancl__into__trancl2_0 ).

cnf(i_0_554,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__into__trancl1_0 ).

cnf(i_0_555,axiom,
    ( c_lessequals(c_Transitive__Closure_Otrancl(X1,X2),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_trancl__subset__Sigma_0 ).

cnf(i_0_556,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_r__r__into__trancl_0 ).

cnf(i_0_557,axiom,
    c_Transitive__Closure_Otrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(X1,X2),X2,X2),
    cls_trancl__converse_0 ).

cnf(i_0_558,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X3,X2),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X3,X2),X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)) ),
    cls_irrefl__trancl__rD_0 ).

cnf(i_0_559,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__eq__or__trancl_0 ).

cnf(i_0_560,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtranclD_0 ).

cnf(i_0_561,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Otrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_trancl_Or__into__trancl_0 ).

cnf(i_0_562,axiom,
    c_lessequals(c_Transitive__Closure_Otrancl(X1,X2),c_Product__Type_OSigma(c_Relation_OField(X1,X2),c_COMBK(c_Relation_OField(X1,X2),tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    cls_trancl__subset__Field2_0 ).

cnf(i_0_563,axiom,
    c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(X1,X3,X4),c_Relation_ORange(X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Range__Int__subset_0 ).

cnf(i_0_564,axiom,
    c_Relation_ORange(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4) = c_Set_Oinsert(X2,c_Relation_ORange(X5,X3,X4),X4),
    cls_Range__insert_0 ).

cnf(i_0_565,axiom,
    ( c_in(X1,c_Transitive__Closure_Otrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    cls_r__into__trancl_H_0 ).

cnf(i_0_566,axiom,
    c_Relation_ODomain(c_Transitive__Closure_Otrancl(X1,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    cls_trancl__domain_0 ).

cnf(i_0_567,axiom,
    ( c_Relation_Osym(c_Transitive__Closure_Otrancl(X1,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    cls_sym__trancl_0 ).

cnf(i_0_568,axiom,
    ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(X1,X2),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    cls_wf__trancl_0 ).

cnf(i_0_569,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_trancl__rtrancl__absorb_0 ).

cnf(i_0_570,axiom,
    c_Relation_Otrans(c_Transitive__Closure_Otrancl(X1,X2),X2),
    cls_trans__trancl_0 ).

cnf(i_0_571,axiom,
    c_Transitive__Closure_Otrancl(X1,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),
    cls_trancl__unfold__right_0 ).

cnf(i_0_572,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    cls_RangeE_0 ).

cnf(i_0_573,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ORange(X2,X4,X3),X3) ),
    cls_Range__iff_0 ).

cnf(i_0_574,axiom,
    c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),
    cls_trancl__empty_0 ).

cnf(i_0_575,axiom,
    ( X1 = X2
    | X1 = X3
    | X1 = X2
    | c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__above_6 ).

cnf(i_0_576,axiom,
    ( X1 = X2
    | X3 = X1
    | X2 = X1
    | c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__below_6 ).

cnf(i_0_577,axiom,
    ( X1 = X2
    | X1 = X4
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__above_12 ).

cnf(i_0_578,axiom,
    ( X1 = X2
    | X4 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__below_12 ).

cnf(i_0_579,plain,
    ( X1 = X4
    | X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_in__above_7]) ).

cnf(i_0_580,axiom,
    ( X2 = X4
    | X4 = X2
    | X4 = X1
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_7 ).

cnf(i_0_581,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_in__above_11]) ).

cnf(i_0_582,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_in__below_11]) ).

cnf(i_0_583,axiom,
    c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
    cls_Id__O__R_0 ).

cnf(i_0_584,axiom,
    c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2) = X1,
    cls_R__O__Id_0 ).

cnf(i_0_585,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId(X3),tc_prod(X3,X3)) ),
    cls_pair__in__Id__conv_0 ).

cnf(i_0_586,axiom,
    c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_rtrancl__trancl__absorb_0 ).

cnf(i_0_587,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_RangeI_0 ).

cnf(i_0_588,axiom,
    ( c_in(X1,c_Relation_ORange(X2,X3,X4),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_Range__iff_1 ).

cnf(i_0_589,axiom,
    ( c_Transitive__Closure_Otrancl(X1,X2) = X1
    | ~ c_Relation_Otrans(X1,X2) ),
    cls_trancl__id_0 ).

cnf(i_0_590,axiom,
    ( c_in(c_Pair(X4,X1,X3,X3),X6,tc_prod(X3,X3))
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,X2,X3)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X5,X6,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X5,X6,X3),tc_fun(X3,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X5,X6,X3) ),
    cls_quotient__eq__iff_0 ).

cnf(i_0_591,axiom,
    ( X1 = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Relation_OId(X2),tc_prod(X2,X2)) ),
    cls_IdE_0 ).

cnf(i_0_592,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
    cls_IdI_0 ).

cnf(i_0_593,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
    cls_pair__in__Id__conv_1 ).

cnf(i_0_594,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_in__above_5]) ).

cnf(i_0_595,axiom,
    ( X1 = X2
    | X2 = X1
    | X2 = X1
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_5 ).

cnf(i_0_596,axiom,
    ( X1 = X2
    | X2 = X1
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mkbot_4 ).

cnf(i_0_597,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(fof_simplification,[status(thm)],[cls_in__mktop_4]) ).

cnf(i_0_598,axiom,
    c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
    cls_Image__Id_0 ).

cnf(i_0_599,axiom,
    c_Relation_Oconverse(c_Relation_OId(X1),X1,X1) = c_Relation_OId(X1),
    cls_converse__Id_0 ).

cnf(i_0_600,axiom,
    c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_Range__empty_0 ).

cnf(i_0_601,axiom,
    c_Relation_ORange(c_Relation_Oconverse(X1,X2,X3),X3,X2) = c_Relation_ODomain(X1,X2,X3),
    cls_Range__converse_0 ).

cnf(i_0_602,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ORange(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_Range__empty__iff_0 ).

cnf(i_0_603,axiom,
    c_Relation_Otrans(c_Relation_OId(X1),X1),
    cls_trans__Id_0 ).

cnf(i_0_604,axiom,
    c_Relation_Osym(c_Relation_OId(X1),X1),
    cls_sym__Id_0 ).

cnf(i_0_605,axiom,
    c_Relation_Oantisym(c_Relation_OId(X1),X1),
    cls_antisym__Id_0 ).

cnf(i_0_606,axiom,
    c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    cls_Range__Id__on_0 ).

cnf(i_0_607,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X2,X7,X6),X4,tc_prod(X7,X6))
    | ~ c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)) ),
    cls_rel__compEpair_1,
    [final] ).

cnf(i_0_608,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X5,X7),X3,tc_prod(X5,X7))
    | ~ c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)) ),
    cls_rel__compEpair_0,
    [final] ).

cnf(i_0_609,axiom,
    ( c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6)
    | hAPP(X1,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X2,X3,X4,X5,X6)) != hAPP(X2,c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X2,X3,X4,X5,X6)) ),
    cls_cuts__eq_2,
    [final] ).

cnf(i_0_610,axiom,
    ( c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X6,X2,X3,X4,X5)
    | c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X6,X2,X3,X4,X5),X3,X4,X4),X2,tc_prod(X4,X4)) ),
    cls_cuts__eq_1,
    [final] ).

cnf(i_0_611,plain,
    ( c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_531,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_612,axiom,
    ( c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))
    | ~ c_lessequals(hAPP(X2,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4)),hAPP(X6,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X5,tc_fun(X3,tc_bool)) ),
    cls_Sigma__mono_1,
    [final] ).

cnf(i_0_613,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | ~ c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5)),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5)),X5) ),
    cls_Pi__I_1,
    [final] ).

cnf(i_0_614,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | ~ c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5)),hAPP(X3,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5)),X5) ),
    cls_Pi__I_H_1,
    [final] ).

cnf(i_0_615,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_533,c_0_532]),c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_616,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(c_Relation_Oconverse(X4,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_534,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_617,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(c_Relation_Oconverse(X4,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_535,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_618,axiom,
    ( hAPP(hAPP(X1,X2),X3) = hAPP(hAPP(X1,X4),X5)
    | ~ c_in(c_Pair(X3,X5,X6,X6),X7,tc_prod(X6,X6))
    | ~ c_in(c_Pair(X2,X4,X8,X8),X9,tc_prod(X8,X8))
    | ~ c_Equiv__Relations_Ocongruent2(X9,X7,X1,X8,X6,X10) ),
    cls_congruent2_Ocongruent2_0,
    [final] ).

cnf(i_0_619,axiom,
    ( c_Equiv__Relations_Ocongruent(X1,hAPP(X2,X3),X4,X5)
    | ~ c_in(X3,X6,X7)
    | ~ c_Equiv__Relations_Ocongruent2(X8,X1,X2,X7,X4,X5)
    | ~ c_Equiv__Relations_Oequiv(X6,X8,X7) ),
    cls_congruent2__implies__congruent_0,
    [final] ).

cnf(i_0_620,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_536,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_621,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_537,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_622,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_538,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_623,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_539,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_624,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))
    | ~ c_in(hAPP(X1,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X2,X3,X1,X5,X4)),X3,X4) ),
    cls_funcsetI_1,
    [final] ).

cnf(i_0_625,axiom,
    c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7) = c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7),
    cls_O__assoc_0,
    [final] ).

cnf(i_0_626,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X5,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Equiv__Relations_Oequiv(X6,X4,X3) ),
    cls_equiv__class__nondisjoint_0,
    [final] ).

cnf(i_0_627,plain,
    ( c_in(X1,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_lessequals(X4,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_in(X1,c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_540,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_628,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Ortrancl(X1,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)) ),
    inference(rw,[status(thm)],[i_0_541,c_0_532]),
    [final] ).

cnf(i_0_629,plain,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X2,X1,X3,X4),X4,X4),c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)) ),
    inference(rw,[status(thm)],[i_0_542,c_0_532]),
    [final] ).

cnf(i_0_630,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(X1,X2,X3,X4),X3,X4,X4),X1,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,X4),tc_prod(X4,X4)) ),
    inference(rw,[status(thm)],[i_0_543,c_0_532]),
    [final] ).

cnf(i_0_631,plain,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X1,X3,X4,X4),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X4),X4,X4,X4),tc_prod(X4,X4)) ),
    inference(rw,[status(thm)],[i_0_544,c_0_532]),
    [final] ).

cnf(i_0_632,axiom,
    ( c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Product__Type_OSigma(X6,c_COMBK(X7,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X8,c_COMBK(X7,tc_fun(X5,tc_bool),X4),X4,X5),tc_fun(tc_prod(X4,X5),tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X8,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)) ),
    cls_rel__comp__subset__Sigma_0,
    [final] ).

cnf(i_0_633,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    cls_ImageE_0,
    [final] ).

cnf(i_0_634,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    cls_Image__iff_1,
    [final] ).

cnf(i_0_635,plain,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X1,X2,X2,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    inference(rw,[status(thm)],[i_0_545,c_0_546]),
    [final] ).

cnf(i_0_636,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_547,c_0_532]),
    [final] ).

cnf(i_0_637,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_548,c_0_532]),
    [final] ).

cnf(i_0_638,axiom,
    ( c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X4,X5),c_Relation_Orel__comp(X6,X7,X3,X4,X5),tc_fun(tc_prod(X3,X5),tc_bool))
    | ~ c_lessequals(X2,X7,tc_fun(tc_prod(X4,X5),tc_bool))
    | ~ c_lessequals(X1,X6,tc_fun(tc_prod(X3,X4),tc_bool)) ),
    cls_rel__comp__mono_0,
    [final] ).

cnf(i_0_639,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(X1,X2),tc_fun(tc_prod(X2,X2),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_in(c_Pair(X3,X3,X2,X2),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),tc_prod(X2,X2)) ),
    inference(rw,[status(thm)],[i_0_549,c_0_532]),
    [final] ).

cnf(i_0_640,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2,X2) = c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_550,c_0_532]),c_0_551]),c_0_551]),
    [final] ).

cnf(i_0_641,plain,
    ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),X2)
    | ~ c_Wellfounded_Owf(c_Relation_Oconverse(X1,X2,X2),X2) ),
    inference(rw,[status(thm)],[i_0_552,c_0_532]),
    [final] ).

cnf(i_0_642,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_553,c_0_532]),
    [final] ).

cnf(i_0_643,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_554,c_0_532]),
    [final] ).

cnf(i_0_644,plain,
    ( c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    inference(rw,[status(thm)],[i_0_555,c_0_532]),
    [final] ).

cnf(i_0_645,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_556,c_0_532]),
    [final] ).

cnf(i_0_646,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Orel__comp(X5,X6,X3,X7,X4),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X8,X2,X7,X4),X6,tc_prod(X7,X4))
    | ~ c_in(c_Pair(X1,X8,X3,X7),X5,tc_prod(X3,X7)) ),
    cls_rel__compI_0,
    [final] ).

cnf(i_0_647,axiom,
    ( hAPP(X1,X7) = hAPP(X6,X7)
    | c_Recdef_Ocut(X1,X2,X3,X4,X5) != c_Recdef_Ocut(X6,X2,X3,X4,X5)
    | ~ c_in(c_Pair(X7,X3,X4,X4),X2,tc_prod(X4,X4)) ),
    cls_cuts__eq_0,
    [final] ).

cnf(i_0_648,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X1,c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X2)
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_wfI_4,
    [final] ).

cnf(i_0_649,plain,
    c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2),X2,X2,X2) = c_Relation_Oconverse(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_557,c_0_532]),c_0_532]),
    [final] ).

cnf(i_0_650,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X3,X2),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(X3,X2),X2,X2),c_Relation_Orel__comp(X3,c_Transitive__Closure_Ortrancl(X3,X2),X2,X2,X2),tc_prod(X2,X2))
    | ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)) ),
    inference(rw,[status(thm)],[i_0_558,c_0_532]),
    [final] ).

cnf(i_0_651,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_559,c_0_532]),
    [final] ).

cnf(i_0_652,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_560,c_0_532]),
    [final] ).

cnf(i_0_653,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_561,c_0_532]),
    [final] ).

cnf(i_0_654,axiom,
    c_Relation_Oconverse(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X3,X5) = c_Relation_Orel__comp(c_Relation_Oconverse(X2,X4,X5),c_Relation_Oconverse(X1,X3,X4),X5,X4,X3),
    cls_converse__rel__comp_0,
    [final] ).

cnf(i_0_655,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2) ),
    cls_wf__comp__self_1,
    [final] ).

cnf(i_0_656,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X2,X5,X3)
    | ~ c_lessequals(c_Relation_OImage(X4,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X5,X4,X3) ),
    cls_subset__equiv__class_0,
    [final] ).

cnf(i_0_657,axiom,
    ( c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool))
    | c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X1,X2,X6,X3,X4),X1,X3)
    | ~ c_lessequals(X1,X5,tc_fun(X3,tc_bool)) ),
    cls_Sigma__mono_0,
    [final] ).

cnf(i_0_658,plain,
    c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Product__Type_OSigma(c_Relation_OField(X1,X2),c_COMBK(c_Relation_OField(X1,X2),tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    inference(rw,[status(thm)],[i_0_562,c_0_532]),
    [final] ).

cnf(i_0_659,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_14,
    [final] ).

cnf(i_0_660,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_14,
    [final] ).

cnf(i_0_661,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))
    | c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(X2,X3,X1,X5,X4),X2,X5) ),
    cls_funcsetI_0,
    [final] ).

cnf(i_0_662,axiom,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | ~ c_in(c_Pair(X6,X3,X4,X4),X2,tc_prod(X4,X4)) ),
    cls_tfl__cut__apply_0,
    [final] ).

cnf(i_0_663,axiom,
    ( hAPP(c_Recdef_Ocut(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
    | ~ c_in(c_Pair(X6,X3,X4,X4),X2,tc_prod(X4,X4)) ),
    cls_cut__apply_0,
    [final] ).

cnf(i_0_664,axiom,
    ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    cls_ImageE_1,
    [final] ).

cnf(i_0_665,axiom,
    ( c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X1,X4)
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    cls_Image__iff_0,
    [final] ).

cnf(i_0_666,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),X3,X3),X2,tc_prod(X3,X3))
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    cls_refl__onI_1,
    [final] ).

cnf(i_0_667,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),X3,X3),X2,tc_prod(X3,X3))
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    cls_refl__on__def_3,
    [final] ).

cnf(i_0_668,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(X2,X3,X1,X4,X5),X2,X4) ),
    cls_Pi__I_0,
    [final] ).

cnf(i_0_669,axiom,
    ( c_in(X1,c_FuncSet_OPi(X2,X3,X4,X5),tc_fun(X4,X5))
    | c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X2,X3,X1,X4,X5),X2,X4) ),
    cls_Pi__I_H_0,
    [final] ).

cnf(i_0_670,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
    cls_image__Int__subset_0,
    [final] ).

cnf(i_0_671,axiom,
    c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
    cls_Image__Int__subset_0,
    [final] ).

cnf(i_0_672,axiom,
    ( c_lessequals(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),tc_fun(X3,tc_bool))
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    cls_equiv__class__subset_0,
    [final] ).

cnf(i_0_673,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),c_Product__Type_OSigma(X2,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool))
    | ~ c_in(X6,X4,X5) ),
    cls_Times__subset__cancel2_0,
    [final] ).

cnf(i_0_674,plain,
    c_lessequals(c_Relation_ODomain(c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),X4,X3),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(c_Relation_Oconverse(X1,X3,X4),X4,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_563,c_0_551]),c_0_551]),c_0_551]),
    [final] ).

cnf(i_0_675,axiom,
    ( c_lessequals(X1,c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Relation_Orefl__on(X3,X1,X2) ),
    cls_refl__on__comp__subset_0,
    [final] ).

cnf(i_0_676,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4),X4,X3) = c_Set_Oinsert(X2,c_Relation_ODomain(c_Relation_Oconverse(X5,X3,X4),X4,X3),X4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_564,c_0_551]),c_0_551]),
    [final] ).

cnf(i_0_677,axiom,
    ( c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Osym(X1,X2) ),
    cls_sym__trans__comp__subset_0,
    [final] ).

cnf(i_0_678,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3) ),
    cls_wf__insert_1,
    [final] ).

cnf(i_0_679,plain,
    ( c_in(X1,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_565,c_0_532]),
    [final] ).

cnf(i_0_680,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_10,
    [final] ).

cnf(i_0_681,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X5
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_8,
    [final] ).

cnf(i_0_682,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X5,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_8,
    [final] ).

cnf(i_0_683,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X5
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_10,
    [final] ).

cnf(i_0_684,axiom,
    ( X1 = X4
    | X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_13,
    [final] ).

cnf(i_0_685,axiom,
    ( X4 = X2
    | X4 = X1
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_13,
    [final] ).

cnf(i_0_686,plain,
    c_Relation_ODomain(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2,X2) = c_Relation_ODomain(X1,X2,X2),
    inference(rw,[status(thm)],[i_0_566,c_0_532]),
    [final] ).

cnf(i_0_687,axiom,
    ( c_lessequals(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X1,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Relation_Otrans(X1,X2) ),
    cls_trans__O__subset_0,
    [final] ).

cnf(i_0_688,plain,
    ( c_Relation_Osym(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    inference(rw,[status(thm)],[i_0_567,c_0_532]),
    [final] ).

cnf(i_0_689,plain,
    ( c_Wellfounded_Owf(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    inference(rw,[status(thm)],[i_0_568,c_0_532]),
    [final] ).

cnf(i_0_690,plain,
    c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(rw,[status(thm)],[i_0_569,c_0_532]),
    [final] ).

cnf(i_0_691,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__trans_0,
    [final] ).

cnf(i_0_692,plain,
    c_Relation_Otrans(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2),
    inference(rw,[status(thm)],[i_0_570,c_0_532]),
    [final] ).

cnf(i_0_693,axiom,
    c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),
    cls_r__comp__rtrancl__eq_0,
    [final] ).

cnf(i_0_694,plain,
    c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),
    inference(rw,[status(thm)],[i_0_571,c_0_532]),
    [final] ).

cnf(i_0_695,axiom,
    ( c_in(X1,X2,X3)
    | X1 = X4
    | ~ c_lessequals(X5,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X5,X3),tc_prod(X3,X3)) ),
    cls_trancl__subset__Sigma__aux_0,
    [final] ).

cnf(i_0_696,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3)) ),
    cls_converse__rtrancl__into__rtrancl_0,
    [final] ).

cnf(i_0_697,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl_Ortrancl__into__rtrancl_0,
    [final] ).

cnf(i_0_698,axiom,
    ( c_Wellfounded_Owf(c_Relation_Orel__comp(X1,X1,X2,X2,X2),X2)
    | ~ c_Wellfounded_Owf(X1,X2) ),
    cls_wf__comp__self_0,
    [final] ).

cnf(i_0_699,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Otrans(X4,X3) ),
    cls_trans__def_0,
    [final] ).

cnf(i_0_700,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Otrans(X4,X3) ),
    cls_transD_0,
    [final] ).

cnf(i_0_701,axiom,
    ( c_in(c_Pair(hAPP(X1,X2),hAPP(X1,X3),X4,X4),X5,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X6,X6),c_Relation_Oinv__image(X5,X1,X4,X6),tc_prod(X6,X6)) ),
    cls_in__inv__image_0,
    [final] ).

cnf(i_0_702,axiom,
    c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),c_Product__Type_OSigma(X2,c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5),tc_fun(tc_prod(X3,X5),tc_bool)),
    cls_Times__Int__distrib1_0,
    [final] ).

cnf(i_0_703,axiom,
    ( c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3)
    | ~ c_in(X4,X5,X3)
    | ~ c_in(X2,X5,X3) ),
    cls_equiv__class__eq__iff_3,
    [final] ).

cnf(i_0_704,axiom,
    ( c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(X4,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    cls_eq__equiv__class__iff_0,
    [final] ).

cnf(i_0_705,axiom,
    ( c_Equiv__Relations_Oequiv(c_Relation_ODomain(X1,X2,X2),X1,X2)
    | c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2) != X1 ),
    cls_comp__equivI_0,
    [final] ).

cnf(i_0_706,axiom,
    ( c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(X4,X5,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    cls_eq__equiv__class_0,
    [final] ).

cnf(i_0_707,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X4,X3),X3,X4),X3) ),
    inference(rw,[status(thm)],[i_0_572,c_0_551]),
    [final] ).

cnf(i_0_708,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X3,X4),X1,X4,X3),X2,tc_prod(X4,X3))
    | ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X4,X3),X3,X4),X3) ),
    inference(rw,[status(thm)],[i_0_573,c_0_551]),
    [final] ).

cnf(i_0_709,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(X4,X5,X6,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(hAPP(X5,X1),hAPP(X5,X2),X6,X6),X4,tc_prod(X6,X6)) ),
    cls_in__inv__image_1,
    [final] ).

cnf(i_0_710,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(X2,c_Relation_OImage(X5,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X4),X4) ),
    cls_Image__singleton__iff_0,
    [final] ).

cnf(i_0_711,axiom,
    ( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_in(X4,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    cls_eq__equiv__class__iff_1,
    [final] ).

cnf(i_0_712,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_Relation_Orel__comp(X1,X1,X2,X2,X2) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_wf__no__loop_0,
    [final] ).

cnf(i_0_713,axiom,
    ( c_lessequals(c_Relation_OImage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X6,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)) ),
    cls_Image__subset_0,
    [final] ).

cnf(i_0_714,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X3,X2)
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_wfI_2,
    [final] ).

cnf(i_0_715,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X3,X4,X1,X2),X4,X2)
    | ~ c_lessequals(X1,c_Product__Type_OSigma(X3,c_COMBK(X4,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_wfI_3,
    [final] ).

cnf(i_0_716,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X5,tc_fun(X4,tc_bool),X3),X3,X4),tc_fun(X3,X4)) ),
    cls_funcset__image_0,
    [final] ).

cnf(i_0_717,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_notin__Lin__iff_1,
    [final] ).

cnf(i_0_718,axiom,
    ( ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_Lin__irrefl_0,
    [final] ).

cnf(i_0_719,axiom,
    ( c_lessequals(c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),tc_fun(tc_prod(X4,X3),tc_bool))
    | ~ c_lessequals(X1,X5,tc_fun(X4,tc_bool))
    | ~ c_in(X6,X2,X3) ),
    cls_Times__subset__cancel2_1,
    [final] ).

cnf(i_0_720,axiom,
    ( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    cls_equiv__class__eq__iff_0,
    [final] ).

cnf(i_0_721,axiom,
    ( c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) = c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(c_Pair(X2,X4,X3,X3),X1,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X1,X3) ),
    cls_equiv__class__eq_0,
    [final] ).

cnf(i_0_722,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3)) ),
    cls_rtrancl__converseD_0,
    [final] ).

cnf(i_0_723,axiom,
    ( c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X5),X5)
    | ~ c_in(c_Pair(X3,X1,X4,X5),X2,tc_prod(X4,X5)) ),
    cls_Image__singleton__iff_1,
    [final] ).

cnf(i_0_724,axiom,
    ( X2 = X4
    | c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3) != c_Relation_OImage(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3)
    | ~ c_in(X4,c_Relation_OField(X1,X3),X3)
    | ~ c_in(X2,c_Relation_OField(X1,X3),X3)
    | ~ c_Relation_Oantisym(X1,X3)
    | ~ c_Relation_Orefl__on(c_Relation_OField(X1,X3),X1,X3) ),
    cls_Refl__antisym__eq__Image1__Image1__iff_0,
    [final] ).

cnf(i_0_725,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2)),X2) ),
    cls_wf__insert_0,
    [final] ).

cnf(i_0_726,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Oantisym(X4,X3) ),
    cls_antisymD_0,
    [final] ).

cnf(i_0_727,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Oantisym(X4,X3) ),
    cls_antisym__def_0,
    [final] ).

cnf(i_0_728,axiom,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(X4,X3) ),
    cls_wf__asym_0,
    [final] ).

cnf(i_0_729,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    cls_DomainE_0,
    [final] ).

cnf(i_0_730,axiom,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    cls_Domain__iff_0,
    [final] ).

cnf(i_0_731,axiom,
    ( X1 = X2
    | X4 = X2
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_2,
    [final] ).

cnf(i_0_732,axiom,
    ( X1 = X2
    | X2 = X4
    | c_in(c_Pair(X4,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | ~ c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_2,
    [final] ).

cnf(i_0_733,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X1 = X4
    | X5 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X5,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_3,
    [final] ).

cnf(i_0_734,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X2 = X4
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_3,
    [final] ).

cnf(i_0_735,axiom,
    ( X4 = X1
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_1,
    [final] ).

cnf(i_0_736,axiom,
    ( X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_1,
    [final] ).

cnf(i_0_737,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X3,X4,X2),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X4,c_Product__Type_OSigma(X3,c_COMBK(X3,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_finite__equiv__class_0,
    [final] ).

cnf(i_0_738,axiom,
    ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(X4,X3) ),
    cls_wf__insert_2,
    [final] ).

cnf(i_0_739,plain,
    c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1,X1,X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),
    inference(rw,[status(thm)],[i_0_574,c_0_532]),
    [final] ).

cnf(i_0_740,axiom,
    ( c_in(X1,hAPP(X2,X3),X4)
    | ~ c_in(c_Pair(X3,X1,X5,X4),c_Product__Type_OSigma(X6,X2,X5,X4),tc_prod(X5,X4)) ),
    cls_SigmaD2_0,
    [final] ).

cnf(i_0_741,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X4,X3,X3),X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_rtrancl__converseI_0,
    [final] ).

cnf(i_0_742,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X3,X4,X5,X5),X6,tc_prod(X5,X5))
    | ~ c_in(X4,X2,X5)
    | ~ c_in(X3,X1,X5)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X7,X6,X5),tc_fun(X5,tc_bool))
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X7,X6,X5),tc_fun(X5,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X7,X6,X5) ),
    cls_quotient__eqI_0,
    [final] ).

cnf(i_0_743,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X2 = X4
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_4,
    [final] ).

cnf(i_0_744,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X5
    | X1 = X5
    | X1 = X2
    | X4 = X5
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_4,
    [final] ).

cnf(i_0_745,axiom,
    ( X1 = X3
    | X1 = X2
    | c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X4,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[i_0_575]),
    [final] ).

cnf(i_0_746,axiom,
    ( X1 = X3
    | X1 = X2
    | c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X4,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X4,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X3,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[i_0_576]),
    [final] ).

cnf(i_0_747,axiom,
    ( X1 = X4
    | X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[i_0_577]),
    [final] ).

cnf(i_0_748,axiom,
    ( X2 = X4
    | X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[i_0_578]),
    [final] ).

cnf(i_0_749,plain,
    ( X1 = X4
    | X2 = X4
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    c_0_579,
    [final] ).

cnf(i_0_750,axiom,
    ( X1 = X4
    | X4 = X2
    | c_in(c_Pair(X1,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_9,
    [final] ).

cnf(i_0_751,axiom,
    ( X4 = X2
    | X1 = X4
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_9,
    [final] ).

cnf(i_0_752,axiom,
    ( X2 = X4
    | X1 = X4
    | c_in(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X4,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[i_0_580]),
    [final] ).

cnf(i_0_753,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    c_0_581,
    [final] ).

cnf(i_0_754,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    c_0_582,
    [final] ).

cnf(i_0_755,axiom,
    ( X1 = c_Relation_OImage(X2,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(X3,X1,X2,X4),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4,X4)
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X3,X2,X4),tc_fun(X4,tc_bool)) ),
    cls_quotientE_0,
    [final] ).

cnf(i_0_756,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X6,X3,X5),tc_prod(X3,X5)) ),
    cls_SigmaD1_0,
    [final] ).

cnf(i_0_757,axiom,
    ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
    | ~ c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X4,X5,X2)
    | ~ c_in(X1,X5,X2)
    | ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
    cls_eq__equiv__class__iff2_1,
    [final] ).

cnf(i_0_758,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X1,X2,X3),X1,X3)
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    cls_refl__onI_0,
    [final] ).

cnf(i_0_759,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X1,X2,X3),X1,X3)
    | ~ c_lessequals(X2,c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)) ),
    cls_refl__on__def_2,
    [final] ).

cnf(i_0_760,axiom,
    ( c_in(c_Pair(X1,X4,X2,X2),X3,tc_prod(X2,X2))
    | c_Equiv__Relations_Oquotient(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X3,X2)
    | ~ c_in(X4,X5,X2)
    | ~ c_in(X1,X5,X2)
    | ~ c_Equiv__Relations_Oequiv(X5,X3,X2) ),
    cls_eq__equiv__class__iff2_0,
    [final] ).

cnf(i_0_761,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    cls_converseD_0,
    [final] ).

cnf(i_0_762,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    cls_converse__iff_1,
    [final] ).

cnf(i_0_763,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(X5,X4,X3),tc_prod(X3,X4))
    | ~ c_in(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)) ),
    cls_converseI_0,
    [final] ).

cnf(i_0_764,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_in(X1,c_FuncSet_OPi(X5,c_COMBK(X3,tc_fun(X4,tc_bool),X6),X6,X4),tc_fun(X6,X4)) ),
    cls_funcset__mem_0,
    [final] ).

cnf(i_0_765,plain,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X2,X1,X1,X3) = X2,
    inference(rw,[status(thm)],[i_0_583,c_0_546]),
    [final] ).

cnf(i_0_766,plain,
    c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),X3,X2,X2) = X1,
    inference(rw,[status(thm)],[i_0_584,c_0_546]),
    [final] ).

cnf(i_0_767,axiom,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    cls_Image__iff_2,
    [final] ).

cnf(i_0_768,axiom,
    ( c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5)
    | ~ c_in(c_Pair(X6,X1,X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X6,X3,X4) ),
    cls_rev__ImageI_0,
    [final] ).

cnf(i_0_769,axiom,
    c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,X3,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(X1,X4,X3,X5),c_Product__Type_OSigma(X2,X4,X3,X5),tc_fun(tc_prod(X3,X5),tc_bool)),
    cls_Sigma__Int__distrib1_0,
    [final] ).

cnf(i_0_770,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Osym(X4,X3) ),
    cls_symD_0,
    [final] ).

cnf(i_0_771,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Osym(X4,X3) ),
    cls_sym__def_0,
    [final] ).

cnf(i_0_772,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mkbot_2,
    [final] ).

cnf(i_0_773,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mktop_2,
    [final] ).

cnf(i_0_774,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mktop_5,
    [final] ).

cnf(i_0_775,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2
    | X2 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mkbot_5,
    [final] ).

cnf(i_0_776,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4
    | X2 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mkbot_3,
    [final] ).

cnf(i_0_777,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X1 = X4
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_in__mktop_3,
    [final] ).

cnf(i_0_778,axiom,
    c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X3,X1,X2,X4) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X4),tc_bool)),
    cls_rel__comp__empty1_0,
    [final] ).

cnf(i_0_779,axiom,
    c_Relation_Orel__comp(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X3),tc_bool)),
    cls_rel__comp__empty2_0,
    [final] ).

cnf(i_0_780,plain,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),X3),tc_prod(X3,X3)) ),
    inference(rw,[status(thm)],[i_0_585,c_0_546]),
    [final] ).

cnf(i_0_781,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X2,X4,X3),X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X5,X2,X3)
    | ~ c_Wellfounded_Owf(X4,X3) ),
    cls_wf__eq__minimal_1,
    [final] ).

cnf(i_0_782,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X2,X4,X3),X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(X5,X2,X3)
    | ~ c_Wellfounded_Owf(X4,X3) ),
    cls_wfE__min_1,
    [final] ).

cnf(i_0_783,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    cls_acc__induct__rule_1,
    [final] ).

cnf(i_0_784,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    cls_acc__induct_1,
    [final] ).

cnf(i_0_785,axiom,
    ( c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | X2 = X1
    | ~ c_in(X1,X5,X3)
    | ~ c_in(X2,X5,X3)
    | ~ c_Relation_Ototal__on(X5,X4,X3) ),
    cls_total__on__def_0,
    [final] ).

cnf(i_0_786,axiom,
    ( c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2) = X1
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
    cls_equiv__comp__eq_0,
    [final] ).

cnf(i_0_787,axiom,
    ( c_lessequals(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(X5,X6,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X5,tc_fun(tc_prod(X3,X4),tc_bool)) ),
    cls_Image__mono_0,
    [final] ).

cnf(i_0_788,axiom,
    c_Relation_ODomain(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4) = c_Set_Oinsert(X1,c_Relation_ODomain(X5,X3,X4),X3),
    cls_Domain__insert_0,
    [final] ).

cnf(i_0_789,axiom,
    ( X1 = X5
    | c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3) != c_Product__Type_OSigma(X5,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3)
    | ~ c_in(X6,X2,X3) ),
    cls_Times__eq__cancel2_0,
    [final] ).

cnf(i_0_790,plain,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    inference(rw,[status(thm)],[i_0_586,c_0_532]),
    [final] ).

cnf(i_0_791,axiom,
    ( hAPP(X1,X2) = hAPP(X1,X3)
    | ~ c_in(c_Pair(X2,X3,X4,X4),X5,tc_prod(X4,X4))
    | ~ c_Equiv__Relations_Ocongruent(X5,X1,X4,X6) ),
    cls_congruent_Ocongruent_0,
    [final] ).

cnf(i_0_792,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X1
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_notin__Lin__iff_0,
    [final] ).

cnf(i_0_793,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    cls_SigmaI_0,
    [final] ).

cnf(i_0_794,axiom,
    ( c_in(c_Pair(X1,X2,X3,X4),c_Product__Type_OSigma(X5,X6,X3,X4),tc_prod(X3,X4))
    | ~ c_in(X2,hAPP(X6,X1),X4)
    | ~ c_in(X1,X5,X3) ),
    cls_mem__Sigma__iff_2,
    [final] ).

cnf(i_0_795,axiom,
    c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(X1,X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Domain__Int__subset_0,
    [final] ).

cnf(i_0_796,plain,
    ( c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(rw,[status(thm)],[i_0_587,c_0_551]),
    [final] ).

cnf(i_0_797,plain,
    ( c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)
    | ~ c_in(c_Pair(X5,X1,X3,X4),X2,tc_prod(X3,X4)) ),
    inference(rw,[status(thm)],[i_0_588,c_0_551]),
    [final] ).

cnf(i_0_798,axiom,
    c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_rtrancl__idemp__self__comp_0,
    [final] ).

cnf(i_0_799,plain,
    ( c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = X1
    | ~ c_Relation_Otrans(X1,X2) ),
    inference(rw,[status(thm)],[i_0_589,c_0_532]),
    [final] ).

cnf(i_0_800,axiom,
    ( X3 = X4
    | ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X2,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__above_0,
    [final] ).

cnf(i_0_801,axiom,
    ( X3 = X4
    | ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X2,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_in__below_0,
    [final] ).

cnf(i_0_802,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinducts_0,
    [final] ).

cnf(i_0_803,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinduct_0,
    [final] ).

cnf(i_0_804,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    cls_image__mono_0,
    [final] ).

cnf(i_0_805,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__image__iff_2,
    [final] ).

cnf(i_0_806,axiom,
    ( c_in(c_Relation_OImage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),c_Equiv__Relations_Oquotient(X4,X1,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X2,X4,X3) ),
    cls_quotientI_0,
    [final] ).

cnf(i_0_807,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    cls_acc__downwards__aux_0,
    [final] ).

cnf(i_0_808,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc__downwards_0,
    [final] ).

cnf(i_0_809,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinducts_1,
    [final] ).

cnf(i_0_810,axiom,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    cls_acc_Oinduct_1,
    [final] ).

cnf(i_0_811,axiom,
    ( c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_Equiv__Relations_Oequiv(X4,X2,X3) ),
    cls_equiv__class__self_0,
    [final] ).

cnf(i_0_812,axiom,
    ( c_in(c_Pair(X4,X1,X3,X3),X6,tc_prod(X3,X3))
    | ~ c_in(X4,X2,X3)
    | ~ c_in(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X5,X6,X3)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X5,X6,X3),tc_fun(X3,tc_bool)) ),
    inference(cn,[status(thm)],[i_0_590]),
    [final] ).

cnf(i_0_813,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc_Ocases_0,
    [final] ).

cnf(i_0_814,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X2,tc_prod(X3,X3))
    | ~ c_in(X4,c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc__downward_0,
    [final] ).

cnf(i_0_815,axiom,
    ( X1 = X2
    | c_in(X1,c_Relation_ODomain(X4,X3,X3),X3)
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    cls_Not__Domain__rtrancl_0,
    [final] ).

cnf(i_0_816,axiom,
    ( c_in(hAPP(X1,X2),hAPP(X3,X2),X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_in(X1,c_FuncSet_OPi(X5,X3,X6,X4),tc_fun(X6,X4)) ),
    cls_Pi__mem_0,
    [final] ).

cnf(i_0_817,axiom,
    ( c_in(hAPP(X4,X1),hAPP(X5,X1),X6)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(X4,c_FuncSet_OPi(X2,X5,X3,X6),tc_fun(X3,X6)) ),
    cls_PiE_0,
    [final] ).

cnf(i_0_818,axiom,
    ( c_Nitpick_Orefl_H(X1,X2)
    | ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),X2,X2),X1,tc_prod(X2,X2)) ),
    cls_Nitpick_Orefl_H__def_1,
    [final] ).

cnf(i_0_819,axiom,
    ( c_in(hAPP(X1,X2),X3,X4)
    | ~ c_in(X2,X5,X6)
    | ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
    cls_image__subset__iff_0,
    [final] ).

cnf(i_0_820,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_DomainI_0,
    [final] ).

cnf(i_0_821,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X4),X3)
    | ~ c_in(c_Pair(X1,X5,X3,X4),X2,tc_prod(X3,X4)) ),
    cls_Domain__iff_1,
    [final] ).

cnf(i_0_822,negated_conjecture,
    ( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_conjecture_0,
    [final] ).

cnf(i_0_823,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X2,X5,X3) ),
    cls_equiv__class__eq__iff_1,
    [final] ).

cnf(i_0_824,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X2,X5,X3) ),
    cls_equiv__class__eq__iff_2,
    [final] ).

cnf(i_0_825,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    cls_refl__onD1_0,
    [final] ).

cnf(i_0_826,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X4,X1,X3,X3),X5,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X2,X5,X3) ),
    cls_refl__onD2_0,
    [final] ).

cnf(i_0_827,axiom,
    ( c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X2,X1,X3) ),
    cls_equiv__type_0,
    [final] ).

cnf(i_0_828,axiom,
    ( c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_Relation_Orefl__on(X2,X1,X3) ),
    cls_refl__on__def_0,
    [final] ).

cnf(i_0_829,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X3),c_Relation_OId__on(X2,X3),tc_prod(X3,X3)) ),
    cls_Id__on__iff_1,
    [final] ).

cnf(i_0_830,plain,
    ( X1 = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2)
    | ~ c_in(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2)) ),
    inference(rw,[status(thm)],[i_0_591,c_0_546]),
    [final] ).

cnf(i_0_831,axiom,
    c_lessequals(c_Relation_OId__on(X1,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    cls_Id__on__subset__Times_0,
    [final] ).

cnf(i_0_832,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Relation_OImage(X3,X1,X2,X2),tc_fun(X2,tc_bool))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    cls_wfE__pf_0,
    [final] ).

cnf(i_0_833,axiom,
    ( X1 = X2
    | ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId__on(X4,X3),tc_prod(X3,X3)) ),
    cls_Id__on__iff_0,
    [final] ).

cnf(i_0_834,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X4,X5,X2),tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X4,X5) ),
    cls_finite__surj_0,
    [final] ).

cnf(i_0_835,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    cls_image__insert_0,
    [final] ).

cnf(i_0_836,axiom,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    cls_wf__irrefl_0,
    [final] ).

cnf(i_0_837,axiom,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_in__mkbot_1,
    [final] ).

cnf(i_0_838,axiom,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_in__mktop_1,
    [final] ).

cnf(i_0_839,axiom,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_in__mkbot_0,
    [final] ).

cnf(i_0_840,axiom,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    cls_in__mktop_0,
    [final] ).

cnf(i_0_841,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2)),
    inference(rw,[status(thm)],[i_0_592,c_0_546]),
    [final] ).

cnf(i_0_842,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2)),
    inference(rw,[status(thm)],[i_0_593,c_0_546]),
    [final] ).

cnf(i_0_843,axiom,
    ( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
    | ~ c_in(X2,X3,X4) ),
    cls_insert__image_0,
    [final] ).

cnf(i_0_844,axiom,
    c_Relation_Oconverse(c_Relation_Oinv__image(X1,X2,X3,X4),X4,X4) = c_Relation_Oinv__image(c_Relation_Oconverse(X1,X3,X3),X2,X3,X4),
    cls_converse__inv__image_0,
    [final] ).

cnf(i_0_845,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),X1,X3,X3),X2,tc_prod(X3,X3)) ),
    cls_acc_OaccI_0,
    [final] ).

cnf(i_0_846,axiom,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))
    | c_in(X2,c_Wellfounded_Oacc(X1,X3),X3) ),
    cls_not__acc__down_0,
    [final] ).

cnf(i_0_847,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X3,X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    c_0_594,
    [final] ).

cnf(i_0_848,axiom,
    ( X1 = X2
    | c_in(c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X3,X2,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X3,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(cn,[status(thm)],[i_0_595]),
    [final] ).

cnf(i_0_849,axiom,
    ( c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(X1,X2,X3,X4),X1,X4)
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X1,X3,X4),tc_fun(X4,tc_bool)) ),
    cls_quotientE_1,
    [final] ).

cnf(i_0_850,axiom,
    ( X1 = X5
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_0,
    [final] ).

cnf(i_0_851,axiom,
    ( X2 = X4
    | X1 = X4
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_1,
    [final] ).

cnf(i_0_852,axiom,
    ( X1 = X5
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_2,
    [final] ).

cnf(i_0_853,axiom,
    ( X2 = X4
    | X2 = X5
    | c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_doubleton__eq__iff_3,
    [final] ).

cnf(i_0_854,axiom,
    ( X1 = X5
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Pair__eq_0,
    [final] ).

cnf(i_0_855,axiom,
    ( X2 = X6
    | c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
    cls_Pair__eq_1,
    [final] ).

cnf(i_0_856,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_in(X2,c_Equiv__Relations_Oquotient(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ c_in(X1,c_Equiv__Relations_Oquotient(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ c_Equiv__Relations_Oequiv(X4,X5,X3) ),
    cls_quotient__disj_0,
    [final] ).

cnf(i_0_857,axiom,
    ( c_in(X1,c_Relation_ODomain(X2,X3,X3),X3)
    | c_in(c_Pair(X1,X1,X3,X3),c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    cls_Not__Domain__rtrancl_1,
    [final] ).

cnf(i_0_858,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    cls_refl__onD_0,
    [final] ).

cnf(i_0_859,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_in(X1,X4,X2)
    | ~ c_Relation_Orefl__on(X4,X3,X2) ),
    cls_refl__on__def_1,
    [final] ).

cnf(i_0_860,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId__on(X3,X2),tc_prod(X2,X2))
    | ~ c_in(X1,X3,X2) ),
    cls_Id__on__eqI_0,
    [final] ).

cnf(i_0_861,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    cls_imageI_0,
    [final] ).

cnf(i_0_862,axiom,
    ( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
    | ~ c_in(X2,X3,X4) ),
    cls_image__eqI_0,
    [final] ).

cnf(i_0_863,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    cls_image__iff_2,
    [final] ).

cnf(i_0_864,axiom,
    ( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3) ),
    cls_rev__image__eqI_0,
    [final] ).

cnf(i_0_865,axiom,
    c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(X1,X3,X4),c_Relation_Oconverse(X2,X3,X4),tc_fun(tc_prod(X4,X3),tc_bool)),
    cls_converse__Int_0,
    [final] ).

cnf(i_0_866,axiom,
    ( c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Relation_Orefl__on(X2,X5,X3)
    | ~ c_Relation_Orefl__on(X1,X4,X3) ),
    cls_refl__on__Int_0,
    [final] ).

cnf(i_0_867,axiom,
    ( X1 = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X2,X1,X3),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X2,X1,X3),X3,X3)
    | ~ c_in(X1,c_Relation_OId__on(X2,X3),tc_prod(X3,X3)) ),
    cls_Id__onE_1,
    [final] ).

cnf(i_0_868,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_Int__mono_0,
    [final] ).

cnf(i_0_869,axiom,
    ( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    cls_Inf__binary_0,
    [final] ).

cnf(i_0_870,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_rtrancl__eq__or__trancl_1,
    [final] ).

cnf(i_0_871,axiom,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    cls_rtrancl_Ortrancl__refl_0,
    [final] ).

cnf(i_0_872,axiom,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Nitpick_Orefl_H(X3,X2) ),
    cls_Nitpick_Orefl_H__def_0,
    [final] ).

cnf(i_0_873,axiom,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(cn,[status(thm)],[i_0_596]),
    [final] ).

cnf(i_0_874,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    c_0_597,
    [final] ).

cnf(i_0_875,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    cls_subset__singletonD_0,
    [final] ).

cnf(i_0_876,plain,
    c_Relation_OImage(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X2,X1,X1) = X2,
    inference(rw,[status(thm)],[i_0_598,c_0_546]),
    [final] ).

cnf(i_0_877,axiom,
    c_Product__Type_OSigma(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X3),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X2),tc_bool)),
    cls_Sigma__empty2_0,
    [final] ).

cnf(i_0_878,plain,
    c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1,X1) = c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_599,c_0_546]),c_0_546]),
    [final] ).

cnf(i_0_879,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    cls_inf1E_0,
    [final] ).

cnf(i_0_880,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    cls_inf1E_1,
    [final] ).

cnf(i_0_881,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ c_in(X5,X4,X3) ),
    cls_image__constant_0,
    [final] ).

cnf(i_0_882,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct__rule_2,
    [final] ).

cnf(i_0_883,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct_2,
    [final] ).

cnf(i_0_884,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    cls_doubleton__eq__iff_4,
    [final] ).

cnf(i_0_885,axiom,
    ( c_Relation_Otrans(c_Relation_Oinv__image(X1,X2,X3,X4),X4)
    | ~ c_Relation_Otrans(X1,X3) ),
    cls_trans__inv__image_0,
    [final] ).

cnf(i_0_886,axiom,
    ( c_Relation_Osym(c_Relation_Oinv__image(X1,X2,X3,X4),X4)
    | ~ c_Relation_Osym(X1,X3) ),
    cls_sym__inv__image_0,
    [final] ).

cnf(i_0_887,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__imageI_0,
    [final] ).

cnf(i_0_888,axiom,
    ( c_Wellfounded_Owf(c_Relation_Oinv__image(X1,X2,X3,X4),X4)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    cls_wf__inv__image_0,
    [final] ).

cnf(i_0_889,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X4,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_OSup__class_OSup(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_in(X4,X1,tc_fun(X2,tc_bool)) ),
    cls_Union__disjoint_0,
    [final] ).

cnf(i_0_890,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2),X2,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(rw,[status(thm)],[i_0_600,c_0_551]),
    [final] ).

cnf(i_0_891,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
    cls_insert__inter__insert_0,
    [final] ).

cnf(i_0_892,axiom,
    ( c_lessequals(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(X4,X2,X3),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(tc_prod(X2,X3),tc_bool)) ),
    cls_Domain__mono_0,
    [final] ).

cnf(i_0_893,axiom,
    ( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_image__constant__conv_1,
    [final] ).

cnf(i_0_894,axiom,
    c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    cls_sym__Int__converse_0,
    [final] ).

cnf(i_0_895,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X4,X3) ),
    cls_Int__insert__left_0,
    [final] ).

cnf(i_0_896,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X2,X1,X4) ),
    cls_Int__insert__right_0,
    [final] ).

cnf(i_0_897,axiom,
    ( c_Transitive__Closure_Ortrancl(X1,X2) = c_Transitive__Closure_Ortrancl(X3,X2)
    | ~ c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_rtrancl__subset_0,
    [final] ).

cnf(i_0_898,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
    cls_Int__subset__iff_2,
    [final] ).

cnf(i_0_899,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
    cls_Int__greatest_0,
    [final] ).

cnf(i_0_900,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    cls_Int__assoc_0,
    [final] ).

cnf(i_0_901,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    cls_Int__left__commute_0,
    [final] ).

cnf(i_0_902,axiom,
    ( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
    cls_empty__is__image_0,
    [final] ).

cnf(i_0_903,axiom,
    ( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    cls_image__is__empty_0,
    [final] ).

cnf(i_0_904,axiom,
    ( c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_converse__in__Lin_0,
    [final] ).

cnf(i_0_905,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    cls_Int__subset__iff_0,
    [final] ).

cnf(i_0_906,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    cls_Int__subset__iff_1,
    [final] ).

cnf(i_0_907,axiom,
    c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_image__constant__conv_0,
    [final] ).

cnf(i_0_908,axiom,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_inf1I_0,
    [final] ).

cnf(i_0_909,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2),X2,X3) = c_Relation_ODomain(X1,X2,X3),
    inference(rw,[status(thm)],[i_0_601,c_0_551]),
    [final] ).

cnf(i_0_910,axiom,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_rtrancl__subset__rtrancl_0,
    [final] ).

cnf(i_0_911,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert__iff_1,
    [final] ).

cnf(i_0_912,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X1,X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    cls_subset__insert_0,
    [final] ).

cnf(i_0_913,axiom,
    ( X1 = X2
    | ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
    cls_singletonE_0,
    [final] ).

cnf(i_0_914,axiom,
    ( hBOOL(hAPP(X1,X2))
    | X3 = X2
    | ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    cls_insert__code_0,
    [final] ).

cnf(i_0_915,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    cls_insert__mono_0,
    [final] ).

cnf(i_0_916,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X2 = X3
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_above__Lin_0,
    [final] ).

cnf(i_0_917,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X2 = X3
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_below__Lin_0,
    [final] ).

cnf(i_0_918,axiom,
    ( c_in(c_Relation_Oconverse(X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_converse__in__Lin_1,
    [final] ).

cnf(i_0_919,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_insert__subset_2,
    [final] ).

cnf(i_0_920,axiom,
    ( c_lessequals(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_rtrancl__mono_0,
    [final] ).

cnf(i_0_921,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
    cls_IntE_0,
    [final] ).

cnf(i_0_922,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    cls_IntE_1,
    [final] ).

cnf(i_0_923,axiom,
    ( c_in(X1,c_Complete__Lattice_OInf__class_OInf(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X1,X2,X3),X3) ),
    cls_InterI_1,
    [final] ).

cnf(i_0_924,axiom,
    ( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    cls_IntI_0,
    [final] ).

cnf(i_0_925,axiom,
    ( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_in(X1,X3,X4)
    | ~ c_in(X1,X2,X4) ),
    cls_Int__iff_2,
    [final] ).

cnf(i_0_926,axiom,
    c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X3),tc_bool)),
    cls_Sigma__empty1_0,
    [final] ).

cnf(i_0_927,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,c_Complete__Lattice_OInf__class_OInf(X4,tc_fun(X3,tc_bool)),X3) ),
    cls_InterD_0,
    [final] ).

cnf(i_0_928,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(rw,[status(thm)],[i_0_602,c_0_551]),
    [final] ).

cnf(i_0_929,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X2,X1,X3),c_Wellfounded_Oacc(X2,X3),X3) ),
    cls_acc_OaccI_1,
    [final] ).

cnf(i_0_930,axiom,
    ( c_in(X2,c_Wellfounded_Oacc(X1,X3),X3)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),c_Wellfounded_Oacc(X1,X3),X3) ),
    cls_not__acc__down_1,
    [final] ).

cnf(i_0_931,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    cls_insert__subset_1,
    [final] ).

cnf(i_0_932,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert__iff_2,
    [final] ).

cnf(i_0_933,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4)
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insert_1,
    [final] ).

cnf(i_0_934,plain,
    c_Relation_Otrans(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1),
    inference(rw,[status(thm)],[i_0_603,c_0_546]),
    [final] ).

cnf(i_0_935,plain,
    c_Relation_Osym(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1),
    inference(rw,[status(thm)],[i_0_604,c_0_546]),
    [final] ).

cnf(i_0_936,plain,
    c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),X1),
    inference(rw,[status(thm)],[i_0_605,c_0_546]),
    [final] ).

cnf(i_0_937,axiom,
    c_Relation_OImage(c_Relation_OId__on(X1,X2),X3,X2,X2) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),
    cls_Image__Id__on_0,
    [final] ).

cnf(i_0_938,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct__rule_0,
    [final] ).

cnf(i_0_939,axiom,
    ( hBOOL(hAPP(X1,X2))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4)
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4) ),
    cls_acc__induct_0,
    [final] ).

cnf(i_0_940,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    cls_insert__subset_0,
    [final] ).

cnf(i_0_941,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__infI_0,
    [final] ).

cnf(i_0_942,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__inf__iff_2,
    [final] ).

cnf(i_0_943,axiom,
    ( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_inf__greatest_0,
    [final] ).

cnf(i_0_944,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_disjoint__iff__not__equal_0,
    [final] ).

cnf(i_0_945,axiom,
    ( X1 = X3
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    cls_singleton__inject_0,
    [final] ).

cnf(i_0_946,axiom,
    ( c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_in(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_UnionI_0,
    [final] ).

cnf(i_0_947,axiom,
    ( c_lessequals(c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(X3,X2),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_acc__subset_0,
    [final] ).

cnf(i_0_948,axiom,
    ( c_lessequals(c_Relation_OField(X1,X2),c_Relation_OField(X3,X2),tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_mono__Field_0,
    [final] ).

cnf(i_0_949,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I2_J_0,
    [final] ).

cnf(i_0_950,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__assoc_0,
    [final] ).

cnf(i_0_951,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I3_J_0,
    [final] ).

cnf(i_0_952,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__left__commute_0,
    [final] ).

cnf(i_0_953,axiom,
    ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_Relation_OId__on(X1,X3),tc_prod(X3,X3)) ),
    cls_Id__onE_0,
    [final] ).

cnf(i_0_954,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_image__empty_0,
    [final] ).

cnf(i_0_955,axiom,
    c_Relation_OImage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_Image__empty_0,
    [final] ).

cnf(i_0_956,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
    cls_empty__is__image_1,
    [final] ).

cnf(i_0_957,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_mkbot__Lin_0,
    [final] ).

cnf(i_0_958,axiom,
    ( c_in(c_Arrow__Order__Mirabelle_Omktop(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    cls_mktop__Lin_0,
    [final] ).

cnf(i_0_959,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
    cls_insert__commute_0,
    [final] ).

cnf(i_0_960,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    cls_subset__trans_0,
    [final] ).

cnf(i_0_961,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
    | c_in(X1,X4,X3) ),
    cls_Int__insert__left_1,
    [final] ).

cnf(i_0_962,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
    | c_in(X2,X1,X4) ),
    cls_Int__insert__right_1,
    [final] ).

cnf(i_0_963,axiom,
    ( c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Relation_Otrans(X2,X3)
    | ~ c_Relation_Otrans(X1,X3) ),
    cls_trans__Int_0,
    [final] ).

cnf(i_0_964,axiom,
    ( c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Relation_Osym(X2,X3)
    | ~ c_Relation_Osym(X1,X3) ),
    cls_sym__Int_0,
    [final] ).

cnf(i_0_965,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    cls_le__infE_0,
    [final] ).

cnf(i_0_966,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
    cls_le__inf__iff_0,
    [final] ).

cnf(i_0_967,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    cls_le__infE_1,
    [final] ).

cnf(i_0_968,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
    cls_le__inf__iff_1,
    [final] ).

cnf(i_0_969,axiom,
    ( c_in(X1,X2,X3)
    | X1 = X4
    | ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
    cls_insertE_0,
    [final] ).

cnf(i_0_970,axiom,
    ( c_in(X1,c_Complete__Lattice_OInf__class_OInf(X2,tc_fun(X3,tc_bool)),X3)
    | c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(X1,X2,X3),X2,tc_fun(X3,tc_bool)) ),
    cls_InterI_0,
    [final] ).

cnf(i_0_971,axiom,
    ( c_Relation_Ototal__on(X1,X2,X3)
    | ~ c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    cls_total__on__converse_0,
    [final] ).

cnf(i_0_972,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3) ),
    cls_refl__on__converse_0,
    [final] ).

cnf(i_0_973,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
    cls_Int__left__absorb_0,
    [final] ).

cnf(i_0_974,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    cls_subset__insertI2_0,
    [final] ).

cnf(i_0_975,axiom,
    ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Wellfounded_Owf(X1,X3) ),
    cls_wf__Int1_0,
    [final] ).

cnf(i_0_976,axiom,
    ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    cls_wf__Int2_0,
    [final] ).

cnf(i_0_977,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | ~ hBOOL(hAPP(X2,X4)) ),
    cls_insert__code_2,
    [final] ).

cnf(i_0_978,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X2,tc_fun(tc_prod(X1,X1),tc_bool)),
    cls_less__by__empty_0,
    [final] ).

cnf(i_0_979,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,X2,X3)
    | X2 = X4
    | c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
    cls_insert__ident_0,
    [final] ).

cnf(i_0_980,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    cls_acc_Oinducts_2,
    [final] ).

cnf(i_0_981,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X1,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X3)))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,t_a),t_a) ),
    cls_acc_Oinduct_2,
    [final] ).

cnf(i_0_982,axiom,
    ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool))
    | ~ c_in(X3,X1,tc_fun(X2,tc_bool)) ),
    cls_Inter__lower_0,
    [final] ).

cnf(i_0_983,axiom,
    ( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_in(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_Union__upper_0,
    [final] ).

cnf(i_0_984,axiom,
    ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X1,X2,X3),X1,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    cls_wf__eq__minimal_0,
    [final] ).

cnf(i_0_985,axiom,
    ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(X1,X2,X3),X1,X3)
    | ~ c_in(X4,X1,X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    cls_wfE__min_0,
    [final] ).

cnf(i_0_986,axiom,
    c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
    cls_singleton__iff_1,
    [final] ).

cnf(i_0_987,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_set__mp_0,
    [final] ).

cnf(i_0_988,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subsetD_0,
    [final] ).

cnf(i_0_989,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    cls_set__rev__mp_0,
    [final] ).

cnf(i_0_990,axiom,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X4,X3)
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    cls_subset__iff_0,
    [final] ).

cnf(i_0_991,axiom,
    c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    cls_refl__on__empty_0,
    [final] ).

cnf(i_0_992,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X4,X1) ),
    cls_le__infI1_0,
    [final] ).

cnf(i_0_993,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X4,X1) ),
    cls_le__infI2_0,
    [final] ).

cnf(i_0_994,axiom,
    ( c_Relation_Ototal__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Ototal__on(X1,X2,X3) ),
    cls_total__on__converse_1,
    [final] ).

cnf(i_0_995,axiom,
    ( c_Relation_Orefl__on(X1,c_Relation_Oconverse(X2,X3,X3),X3)
    | ~ c_Relation_Orefl__on(X1,X2,X3) ),
    cls_refl__on__converse_1,
    [final] ).

cnf(i_0_996,axiom,
    ( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    cls_insertCI_0,
    [final] ).

cnf(i_0_997,axiom,
    ( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | ~ c_in(X1,X3,X4) ),
    cls_insert__iff_2,
    [final] ).

cnf(i_0_998,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_equalityI_0,
    [final] ).

cnf(i_0_999,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_set__eq__subset_2,
    [final] ).

cnf(i_0_1000,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1,
    [final] ).

cnf(i_0_1001,axiom,
    ( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
    | ~ class_HOL_Oord(X1)
    | ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
    cls_le__funD_0,
    [final] ).

cnf(i_0_1002,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(X3,X2)
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
    cls_antisym__subset_0,
    [final] ).

cnf(i_0_1003,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    cls_wf__subset_0,
    [final] ).

cnf(i_0_1004,axiom,
    c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X2),tc_bool)),X1,X2) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Domain__empty_0,
    [final] ).

cnf(i_0_1005,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_1006,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_1007,axiom,
    ( c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3))
    | ~ c_in(X1,X2,tc_prod(X3,X3)) ),
    cls_r__into__rtrancl_0,
    [final] ).

cnf(i_0_1008,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    cls_Sup__singleton_0,
    [final] ).

cnf(i_0_1009,axiom,
    ( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),X1) = X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    cls_Inf__singleton_0,
    [final] ).

cnf(i_0_1010,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    cls_subset__empty_0,
    [final] ).

cnf(i_0_1011,axiom,
    ( c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_in(X3,X1,tc_fun(X2,tc_bool)) ),
    cls_finite__Inter_0,
    [final] ).

cnf(i_0_1012,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(X1,X2,X3),tc_fun(X3,tc_bool)) = X1
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    cls_Union__quotient_0,
    [final] ).

cnf(i_0_1013,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    cls_Int__lower1_0,
    [final] ).

cnf(i_0_1014,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    cls_Int__lower2_0,
    [final] ).

cnf(i_0_1015,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I4_J_0,
    [final] ).

cnf(i_0_1016,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__left__idem_0,
    [final] ).

cnf(i_0_1017,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    cls_insert__absorb2_0,
    [final] ).

cnf(i_0_1018,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    cls_bex__empty_0,
    [final] ).

cnf(i_0_1019,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2),X2,X2) = X1,
    inference(rw,[status(thm)],[i_0_606,c_0_551]),
    [final] ).

cnf(i_0_1020,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    cls_bot1E_0,
    [final] ).

cnf(i_0_1021,axiom,
    ( c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Complete__Lattice_OInf__class_OInf(X3,X1),X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    cls_Inf__insert_0,
    [final] ).

cnf(i_0_1022,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ODomain(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    cls_Domain__empty__iff_0,
    [final] ).

cnf(i_0_1023,axiom,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_trans__converse_0,
    [final] ).

cnf(i_0_1024,axiom,
    ( c_Relation_Osym(X1,X2)
    | ~ c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_sym__converse_0,
    [final] ).

cnf(i_0_1025,axiom,
    ( c_Relation_Oantisym(X1,X2)
    | ~ c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2) ),
    cls_antisym__converse_0,
    [final] ).

cnf(i_0_1026,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
    cls_finite__insert_0,
    [final] ).

cnf(i_0_1027,axiom,
    c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(X1,X2),X2,X2),
    cls_rtrancl__converse_0,
    [final] ).

cnf(i_0_1028,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_Int__absorb2_0,
    [final] ).

cnf(i_0_1029,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    cls_Int__absorb1_0,
    [final] ).

cnf(i_0_1030,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_predicate1D_0,
    [final] ).

cnf(i_0_1031,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X3,X2)) ),
    cls_rev__predicate1D_0,
    [final] ).

cnf(i_0_1032,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    cls_ball__empty_0,
    [final] ).

cnf(i_0_1033,axiom,
    c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Field__empty_0,
    [final] ).

cnf(i_0_1034,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X1,X3) ),
    cls_finite__Int_0,
    [final] ).

cnf(i_0_1035,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__Int_1,
    [final] ).

cnf(i_0_1036,axiom,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    cls_subset__insertI_0,
    [final] ).

cnf(i_0_1037,axiom,
    ( c_in(X1,X2,X3)
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    cls_comm__monoid__add_Ononempty__iff_2,
    [final] ).

cnf(i_0_1038,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2) ),
    cls_wf__acc__iff_1,
    [final] ).

cnf(i_0_1039,axiom,
    ( c_Wellfounded_Owf(X1,X2)
    | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(X1,X2),c_Wellfounded_Oacc(X1,X2),X2) ),
    cls_acc__wfI_0,
    [final] ).

cnf(i_0_1040,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_1041,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_1042,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_1043,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    cls_subset__empty_1,
    [final] ).

cnf(i_0_1044,axiom,
    ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(X2,X1),X3,X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ c_in(X3,X2,X1) ),
    cls_Inf__lower_0,
    [final] ).

cnf(i_0_1045,axiom,
    ( c_lessequals(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | ~ c_in(X2,X3,X1) ),
    cls_Sup__upper_0,
    [final] ).

cnf(i_0_1046,axiom,
    c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    cls_antisym__empty_0,
    [final] ).

cnf(i_0_1047,axiom,
    c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    cls_wf__empty_0,
    [final] ).

cnf(i_0_1048,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I1_J_0,
    [final] ).

cnf(i_0_1049,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le1_0,
    [final] ).

cnf(i_0_1050,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__ord_I2_J_0,
    [final] ).

cnf(i_0_1051,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__le2_0,
    [final] ).

cnf(i_0_1052,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_ex__in__conv_0,
    [final] ).

cnf(i_0_1053,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_empty__iff_0,
    [final] ).

cnf(i_0_1054,axiom,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    cls_emptyE_0,
    [final] ).

cnf(i_0_1055,axiom,
    c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
    cls_converse__converse_0,
    [final] ).

cnf(i_0_1056,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insertCI_1,
    [final] ).

cnf(i_0_1057,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insertI1_0,
    [final] ).

cnf(i_0_1058,axiom,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    cls_insert__iff_1,
    [final] ).

cnf(i_0_1059,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    cls_rev__finite__subset_0,
    [final] ).

cnf(i_0_1060,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
    cls_finite__subset_0,
    [final] ).

cnf(i_0_1061,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    cls_Int__empty__left_0,
    [final] ).

cnf(i_0_1062,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    cls_Int__empty__right_0,
    [final] ).

cnf(i_0_1063,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
    cls_Int__commute_0,
    [final] ).

cnf(i_0_1064,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ class_Lattices_Olower__semilattice(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
    cls_le__iff__inf_1,
    [final] ).

cnf(i_0_1065,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X2,X3,X1) ),
    cls_le__iff__inf_0,
    [final] ).

cnf(i_0_1066,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
    | ~ class_Lattices_Olower__semilattice(X1)
    | ~ c_lessequals(X3,X2,X1) ),
    cls_inf__absorb2_0,
    [final] ).

cnf(i_0_1067,axiom,
    c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),
    cls_Id__on__empty_0,
    [final] ).

cnf(i_0_1068,axiom,
    ( c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Relation_Otrans(X1,X2) ),
    cls_trans__converse_1,
    [final] ).

cnf(i_0_1069,axiom,
    ( c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    cls_sym__converse_1,
    [final] ).

cnf(i_0_1070,axiom,
    ( c_Relation_Oantisym(c_Relation_Oconverse(X1,X2,X2),X2)
    | ~ c_Relation_Oantisym(X1,X2) ),
    cls_antisym__converse_1,
    [final] ).

cnf(i_0_1071,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    cls_finite__insert_1,
    [final] ).

cnf(i_0_1072,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    cls_insert__absorb_0,
    [final] ).

cnf(i_0_1073,axiom,
    ( c_Relation_Orefl__on(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
    cls_equiv_Orefl__on_0,
    [final] ).

cnf(i_0_1074,axiom,
    c_Relation_OField(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_OField(X1,X2),
    cls_Field__converse_0,
    [final] ).

cnf(i_0_1075,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    cls_empty__subsetI_0,
    [final] ).

cnf(i_0_1076,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
    cls_empty__not__insert_0,
    [final] ).

cnf(i_0_1077,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    cls_insert__not__empty_0,
    [final] ).

cnf(i_0_1078,axiom,
    hAPP(c_COMBK(X1,X2,X3),X4) = X1,
    cls_COMBK__def_0,
    [final] ).

cnf(i_0_1079,axiom,
    ( c_lessequals(X2,X3,X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_linorder__linear_0,
    [final] ).

cnf(i_0_1080,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    cls_mem__def_0,
    [final] ).

cnf(i_0_1081,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olattice(X1) ),
    cls_inf__sup__aci_I1_J_0,
    [final] ).

cnf(i_0_1082,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__commute_0,
    [final] ).

cnf(i_0_1083,axiom,
    c_in(v_R____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    cls_CHAINED_0,
    [final] ).

cnf(i_0_1084,axiom,
    c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    cls_linear__alt_0,
    [final] ).

cnf(i_0_1085,axiom,
    c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1),
    cls_total__on__empty_0,
    [final] ).

cnf(i_0_1086,axiom,
    ( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
    | ~ c_Wellfounded_Owf(X2,X3) ),
    cls_acc__wfD_0,
    [final] ).

cnf(i_0_1087,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1,
    [final] ).

cnf(i_0_1088,axiom,
    ( c_Relation_Osym(X1,X2)
    | c_Relation_Oconverse(X1,X2,X2) != X1 ),
    cls_sym__conv__converse__eq_1,
    [final] ).

cnf(i_0_1089,axiom,
    ( c_Relation_Otrans(X1,X2)
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
    cls_equiv_Otrans_0,
    [final] ).

cnf(i_0_1090,axiom,
    ( c_Relation_Osym(X1,X2)
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
    cls_equiv_Osym_0,
    [final] ).

cnf(i_0_1091,axiom,
    c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2) = c_Relation_OId__on(X1,X2),
    cls_converse__Id__on_0,
    [final] ).

cnf(i_0_1092,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    cls_ATP__Linkup_Ofequal__imp__equal_0,
    [final] ).

cnf(i_0_1093,axiom,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    cls_Domain__Id__on_0,
    [final] ).

cnf(i_0_1094,axiom,
    c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2),
    cls_refl__on__Id__on_0,
    [final] ).

cnf(i_0_1095,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
    cls_Int__absorb_0,
    [final] ).

cnf(i_0_1096,axiom,
    ( c_Relation_Oconverse(X1,X2,X2) = X1
    | ~ c_Relation_Osym(X1,X2) ),
    cls_sym__conv__converse__eq_0,
    [final] ).

cnf(i_0_1097,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_equalityE_0,
    [final] ).

cnf(i_0_1098,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    cls_subset__refl_0,
    [final] ).

cnf(i_0_1099,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    cls_Sup__empty_0,
    [final] ).

cnf(i_0_1100,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__left_0,
    [final] ).

cnf(i_0_1101,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    cls_inf__bot__right_0,
    [final] ).

cnf(i_0_1102,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    cls_bot__least_0,
    [final] ).

cnf(i_0_1103,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    cls_finite_OemptyI_0,
    [final] ).

cnf(i_0_1104,axiom,
    ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2)
    | ~ c_Relation_Osym(X1,X2) ),
    cls_sym__rtrancl_0,
    [final] ).

cnf(i_0_1105,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
    | ~ class_Lattices_Olower__semilattice(X1) ),
    cls_inf__idem_0,
    [final] ).

cnf(i_0_1106,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Oorder(X1) ),
    cls_order__eq__iff_0,
    [final] ).

cnf(i_0_1107,axiom,
    ( c_lessequals(X2,X2,X1)
    | ~ class_Orderings_Opreorder(X1) ),
    cls_order__eq__refl_0,
    [final] ).

cnf(i_0_1108,axiom,
    c_fequal(X1,X1,X2),
    cls_ATP__Linkup_Oequal__imp__fequal_0,
    [final] ).

cnf(i_0_1109,axiom,
    c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(X1,X2),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
    cls_rtrancl__idemp_0,
    [final] ).

cnf(i_0_1110,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    clsarity_prod__Finite__Set_Ofinite_Ofinite,
    [final] ).

cnf(i_0_1111,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    clsarity_fun__Finite__Set_Ofinite_Ofinite,
    [final] ).

cnf(i_0_1112,axiom,
    c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2),
    cls_trans__rtrancl_0,
    [final] ).

cnf(i_0_1113,axiom,
    c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2),
    cls_trans__Id__on_0,
    [final] ).

cnf(i_0_1114,axiom,
    c_Relation_Osym(c_Relation_OId__on(X1,X2),X2),
    cls_sym__Id__on_0,
    [final] ).

cnf(i_0_1115,axiom,
    c_Relation_Oantisym(c_Relation_OId__on(X1,X2),X2),
    cls_antisym__Id__on_0,
    [final] ).

cnf(i_0_1116,axiom,
    ( class_HOL_Oord(tc_fun(X1,X2))
    | ~ class_HOL_Oord(X2) ),
    clsarity_fun__HOL_Oord,
    [final] ).

cnf(i_0_1117,axiom,
    ( class_Orderings_Oorder(tc_fun(X1,X2))
    | ~ class_Orderings_Oorder(X2) ),
    clsarity_fun__Orderings_Oorder,
    [final] ).

cnf(i_0_1118,axiom,
    ( class_Orderings_Opreorder(tc_fun(X1,X2))
    | ~ class_Orderings_Opreorder(X2) ),
    clsarity_fun__Orderings_Opreorder,
    [final] ).

cnf(i_0_1119,axiom,
    ( class_Lattices_Olattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olattice,
    [final] ).

cnf(i_0_1120,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
    | ~ class_Lattices_Olattice(X2) ),
    clsarity_fun__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1121,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
    | ~ class_Lattices_Obounded__lattice(X2) ),
    clsarity_fun__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1122,axiom,
    ( class_Orderings_Obot(tc_fun(X1,X2))
    | ~ class_Orderings_Obot(X2) ),
    clsarity_fun__Orderings_Obot,
    [final] ).

cnf(i_0_1123,axiom,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X1,X2))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    clsarity_fun__Complete__Lattice_Ocomplete__lattice,
    [final] ).

cnf(i_0_1124,axiom,
    ( c_Finite__Set_Ofinite(X2,X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    cls_finite_0,
    [final] ).

cnf(i_0_1125,axiom,
    class_HOL_Oord(tc_bool),
    clsarity_bool__HOL_Oord,
    [final] ).

cnf(i_0_1126,axiom,
    class_Orderings_Oorder(tc_bool),
    clsarity_bool__Orderings_Oorder,
    [final] ).

cnf(i_0_1127,axiom,
    class_Orderings_Opreorder(tc_bool),
    clsarity_bool__Orderings_Opreorder,
    [final] ).

cnf(i_0_1128,axiom,
    class_Lattices_Olattice(tc_bool),
    clsarity_bool__Lattices_Olattice,
    [final] ).

cnf(i_0_1129,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    clsarity_bool__Lattices_Olower__semilattice,
    [final] ).

cnf(i_0_1130,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    clsarity_bool__Finite__Set_Ofinite_Ofinite,
    [final] ).

cnf(i_0_1131,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    clsarity_bool__Lattices_Obounded__lattice,
    [final] ).

cnf(i_0_1132,axiom,
    class_Orderings_Obot(tc_bool),
    clsarity_bool__Orderings_Obot,
    [final] ).

cnf(i_0_1133,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    clsarity_bool__Complete__Lattice_Ocomplete__lattice,
    [final] ).

cnf(i_0_1134,axiom,
    v_a != v_b,
    cls_assms_0,
    [final] ).

cnf(i_0_1135,axiom,
    X1 = X1 ).

cnf(i_0_1136,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1137,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1138,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_1139,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_1140,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_1141,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_1142,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).

cnf(i_0_1143,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).

cnf(i_0_1144,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).

cnf(i_0_1145,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X1,X3,X4,X5) = c_Product__Type_OSigma(X2,X3,X4,X5) ) ).

cnf(i_0_1146,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X3,X1,X4,X5) = c_Product__Type_OSigma(X3,X2,X4,X5) ) ).

cnf(i_0_1147,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X3,X4,X1,X5) = c_Product__Type_OSigma(X3,X4,X2,X5) ) ).

cnf(i_0_1148,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X3,X4,X5,X1) = c_Product__Type_OSigma(X3,X4,X5,X2) ) ).

cnf(i_0_1149,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).

cnf(i_0_1150,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).

cnf(i_0_1151,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).

cnf(i_0_1152,axiom,
    ( X1 != X2
    | c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).

cnf(i_0_1153,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).

cnf(i_0_1154,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).

cnf(i_0_1155,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).

cnf(i_0_1156,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1157,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1158,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1159,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1160,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).

cnf(i_0_1161,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).

cnf(i_0_1162,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).

cnf(i_0_1163,axiom,
    ( X1 != X2
    | c_Relation_OField(X1,X3) = c_Relation_OField(X2,X3) ) ).

cnf(i_0_1164,axiom,
    ( X1 != X2
    | c_Relation_OField(X3,X1) = c_Relation_OField(X3,X2) ) ).

cnf(i_0_1165,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1166,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1167,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1168,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1169,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X1,X3,X4,X5) = c_Relation_Oinv__image(X2,X3,X4,X5) ) ).

cnf(i_0_1170,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X3,X1,X4,X5) = c_Relation_Oinv__image(X3,X2,X4,X5) ) ).

cnf(i_0_1171,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X3,X4,X1,X5) = c_Relation_Oinv__image(X3,X4,X2,X5) ) ).

cnf(i_0_1172,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X3,X4,X5,X1) = c_Relation_Oinv__image(X3,X4,X5,X2) ) ).

cnf(i_0_1173,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X1,X3,X4,X5,X6) = c_Relation_Orel__comp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1174,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X1,X4,X5,X6) = c_Relation_Orel__comp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1175,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X1,X5,X6) = c_Relation_Orel__comp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1176,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X1,X6) = c_Relation_Orel__comp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1177,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X6,X1) = c_Relation_Orel__comp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1178,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_1179,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_1180,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_1181,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1182,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X1,X4,X5,X6) = c_Recdef_Ocut(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1183,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X4,X1,X5,X6) = c_Recdef_Ocut(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1184,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X4,X5,X1,X6) = c_Recdef_Ocut(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1185,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X4,X5,X6,X1) = c_Recdef_Ocut(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1186,axiom,
    ( X1 != X2
    | c_Relation_OId__on(X1,X3) = c_Relation_OId__on(X2,X3) ) ).

cnf(i_0_1187,axiom,
    ( X1 != X2
    | c_Relation_OId__on(X3,X1) = c_Relation_OId__on(X3,X2) ) ).

cnf(i_0_1188,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).

cnf(i_0_1189,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).

cnf(i_0_1190,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).

cnf(i_0_1191,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).

cnf(i_0_1192,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1193,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1194,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X2,X3) ) ).

cnf(i_0_1195,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X3,X2) ) ).

cnf(i_0_1196,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1197,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1198,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1199,axiom,
    ( X1 != X2
    | ~ c_Relation_Osym(X1,X3)
    | c_Relation_Osym(X2,X3) ) ).

cnf(i_0_1200,axiom,
    ( X1 != X2
    | ~ c_Relation_Osym(X3,X1)
    | c_Relation_Osym(X3,X2) ) ).

cnf(i_0_1201,axiom,
    ( X1 != X2
    | ~ c_Relation_Oantisym(X1,X3)
    | c_Relation_Oantisym(X2,X3) ) ).

cnf(i_0_1202,axiom,
    ( X1 != X2
    | ~ c_Relation_Oantisym(X3,X1)
    | c_Relation_Oantisym(X3,X2) ) ).

cnf(i_0_1203,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | c_Finite__Set_Ofinite(X2,X3) ) ).

cnf(i_0_1204,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | c_Finite__Set_Ofinite(X3,X2) ) ).

cnf(i_0_1205,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1206,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X1,X3,X4)
    | c_Relation_Ototal__on(X2,X3,X4) ) ).

cnf(i_0_1207,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X1,X4)
    | c_Relation_Ototal__on(X3,X2,X4) ) ).

cnf(i_0_1208,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X4,X1)
    | c_Relation_Ototal__on(X3,X4,X2) ) ).

cnf(i_0_1209,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Orefl_H(X1,X3)
    | c_Nitpick_Orefl_H(X2,X3) ) ).

cnf(i_0_1210,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Orefl_H(X3,X1)
    | c_Nitpick_Orefl_H(X3,X2) ) ).

cnf(i_0_1211,axiom,
    ( X1 != X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(X2) ) ).

cnf(i_0_1212,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1213,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1214,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1215,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1216,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1217,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1218,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1219,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1220,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1221,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1222,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1223,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1224,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1225,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1226,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(X2) ) ).

cnf(i_0_1227,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X1,X3,X4,X5,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_1228,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X1,X4,X5,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_1229,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X1,X5,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_1230,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X5,X1,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_1231,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X1,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_1232,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X7,X1)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_1233,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X1,X3,X4,X5)
    | c_Equiv__Relations_Ocongruent(X2,X3,X4,X5) ) ).

cnf(i_0_1234,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X3,X1,X4,X5)
    | c_Equiv__Relations_Ocongruent(X3,X2,X4,X5) ) ).

cnf(i_0_1235,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X3,X4,X1,X5)
    | c_Equiv__Relations_Ocongruent(X3,X4,X2,X5) ) ).

cnf(i_0_1236,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X3,X4,X5,X1)
    | c_Equiv__Relations_Ocongruent(X3,X4,X5,X2) ) ).

cnf(i_0_1237,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Oequiv(X1,X3,X4)
    | c_Equiv__Relations_Oequiv(X2,X3,X4) ) ).

cnf(i_0_1238,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X4)
    | c_Equiv__Relations_Oequiv(X3,X2,X4) ) ).

cnf(i_0_1239,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Oequiv(X3,X4,X1)
    | c_Equiv__Relations_Oequiv(X3,X4,X2) ) ).

cnf(i_0_1240,axiom,
    ( X1 != X2
    | ~ c_Wellfounded_Owf(X1,X3)
    | c_Wellfounded_Owf(X2,X3) ) ).

cnf(i_0_1241,axiom,
    ( X1 != X2
    | ~ c_Wellfounded_Owf(X3,X1)
    | c_Wellfounded_Owf(X3,X2) ) ).

cnf(i_0_1242,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X1,X3,X4,X5,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1243,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X1,X4,X5,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1244,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X1,X5,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1245,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X1,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1246,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X6,X1)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1247,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X1,X3,X4)
    | c_Relation_Orefl__on(X2,X3,X4) ) ).

cnf(i_0_1248,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X1,X4)
    | c_Relation_Orefl__on(X3,X2,X4) ) ).

cnf(i_0_1249,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X4,X1)
    | c_Relation_Orefl__on(X3,X4,X2) ) ).

cnf(i_0_1250,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_1251,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_1135_001,axiom,
    X1 = X1 ).

cnf(i_0_1136_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_1137_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_1138_004,axiom,
    ( X1 != X2
    | c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).

cnf(i_0_1139_005,axiom,
    ( X1 != X2
    | c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).

cnf(i_0_1140_006,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).

cnf(i_0_1141_007,axiom,
    ( X1 != X2
    | c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).

cnf(i_0_1142_008,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).

cnf(i_0_1143_009,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).

cnf(i_0_1144_010,axiom,
    ( X1 != X2
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).

cnf(i_0_1145_011,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X1,X3,X4,X5) = c_Product__Type_OSigma(X2,X3,X4,X5) ) ).

cnf(i_0_1146_012,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X3,X1,X4,X5) = c_Product__Type_OSigma(X3,X2,X4,X5) ) ).

cnf(i_0_1147_013,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X3,X4,X1,X5) = c_Product__Type_OSigma(X3,X4,X2,X5) ) ).

cnf(i_0_1148_014,axiom,
    ( X1 != X2
    | c_Product__Type_OSigma(X3,X4,X5,X1) = c_Product__Type_OSigma(X3,X4,X5,X2) ) ).

cnf(i_0_1149_015,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).

cnf(i_0_1150_016,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).

cnf(i_0_1151_017,axiom,
    ( X1 != X2
    | c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).

cnf(i_0_1152_018,axiom,
    ( X1 != X2
    | c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).

cnf(i_0_1153_019,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).

cnf(i_0_1154_020,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).

cnf(i_0_1155_021,axiom,
    ( X1 != X2
    | c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).

cnf(i_0_1156_022,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).

cnf(i_0_1157_023,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).

cnf(i_0_1158_024,axiom,
    ( X1 != X2
    | c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).

cnf(i_0_1159_025,axiom,
    ( X1 != X2
    | c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).

cnf(i_0_1160_026,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).

cnf(i_0_1161_027,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).

cnf(i_0_1162_028,axiom,
    ( X1 != X2
    | c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).

cnf(i_0_1163_029,axiom,
    ( X1 != X2
    | c_Relation_OField(X1,X3) = c_Relation_OField(X2,X3) ) ).

cnf(i_0_1164_030,axiom,
    ( X1 != X2
    | c_Relation_OField(X3,X1) = c_Relation_OField(X3,X2) ) ).

cnf(i_0_1165_031,axiom,
    ( X1 != X2
    | c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).

cnf(i_0_1166_032,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).

cnf(i_0_1167_033,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).

cnf(i_0_1168_034,axiom,
    ( X1 != X2
    | c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).

cnf(i_0_1169_035,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X1,X3,X4,X5) = c_Relation_Oinv__image(X2,X3,X4,X5) ) ).

cnf(i_0_1170_036,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X3,X1,X4,X5) = c_Relation_Oinv__image(X3,X2,X4,X5) ) ).

cnf(i_0_1171_037,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X3,X4,X1,X5) = c_Relation_Oinv__image(X3,X4,X2,X5) ) ).

cnf(i_0_1172_038,axiom,
    ( X1 != X2
    | c_Relation_Oinv__image(X3,X4,X5,X1) = c_Relation_Oinv__image(X3,X4,X5,X2) ) ).

cnf(i_0_1173_039,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X1,X3,X4,X5,X6) = c_Relation_Orel__comp(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1174_040,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X1,X4,X5,X6) = c_Relation_Orel__comp(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1175_041,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X1,X5,X6) = c_Relation_Orel__comp(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1176_042,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X1,X6) = c_Relation_Orel__comp(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1177_043,axiom,
    ( X1 != X2
    | c_Relation_Orel__comp(X3,X4,X5,X6,X1) = c_Relation_Orel__comp(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1178_044,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X1,X3,X4) = c_Equiv__Relations_Oquotient(X2,X3,X4) ) ).

cnf(i_0_1179_045,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X1,X4) = c_Equiv__Relations_Oquotient(X3,X2,X4) ) ).

cnf(i_0_1180_046,axiom,
    ( X1 != X2
    | c_Equiv__Relations_Oquotient(X3,X4,X1) = c_Equiv__Relations_Oquotient(X3,X4,X2) ) ).

cnf(i_0_1181_047,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1182_048,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X1,X4,X5,X6) = c_Recdef_Ocut(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1183_049,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X4,X1,X5,X6) = c_Recdef_Ocut(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1184_050,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X4,X5,X1,X6) = c_Recdef_Ocut(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1185_051,axiom,
    ( X1 != X2
    | c_Recdef_Ocut(X3,X4,X5,X6,X1) = c_Recdef_Ocut(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1186_052,axiom,
    ( X1 != X2
    | c_Relation_OId__on(X1,X3) = c_Relation_OId__on(X2,X3) ) ).

cnf(i_0_1187_053,axiom,
    ( X1 != X2
    | c_Relation_OId__on(X3,X1) = c_Relation_OId__on(X3,X2) ) ).

cnf(i_0_1188_054,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).

cnf(i_0_1189_055,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).

cnf(i_0_1190_056,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).

cnf(i_0_1191_057,axiom,
    ( X1 != X2
    | c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).

cnf(i_0_1192_058,axiom,
    ( X1 != X2
    | hAPP(X1,X3) = hAPP(X2,X3) ) ).

cnf(i_0_1193_059,axiom,
    ( X1 != X2
    | hAPP(X3,X1) = hAPP(X3,X2) ) ).

cnf(i_0_1194_060,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X2,X3) ) ).

cnf(i_0_1195_061,axiom,
    ( X1 != X2
    | c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X3,X2) ) ).

cnf(i_0_1196_062,axiom,
    ( X1 != X2
    | ~ c_in(X1,X3,X4)
    | c_in(X2,X3,X4) ) ).

cnf(i_0_1197_063,axiom,
    ( X1 != X2
    | ~ c_in(X3,X1,X4)
    | c_in(X3,X2,X4) ) ).

cnf(i_0_1198_064,axiom,
    ( X1 != X2
    | ~ c_in(X3,X4,X1)
    | c_in(X3,X4,X2) ) ).

cnf(i_0_1199_065,axiom,
    ( X1 != X2
    | ~ c_Relation_Osym(X1,X3)
    | c_Relation_Osym(X2,X3) ) ).

cnf(i_0_1200_066,axiom,
    ( X1 != X2
    | ~ c_Relation_Osym(X3,X1)
    | c_Relation_Osym(X3,X2) ) ).

cnf(i_0_1201_067,axiom,
    ( X1 != X2
    | ~ c_Relation_Oantisym(X1,X3)
    | c_Relation_Oantisym(X2,X3) ) ).

cnf(i_0_1202_068,axiom,
    ( X1 != X2
    | ~ c_Relation_Oantisym(X3,X1)
    | c_Relation_Oantisym(X3,X2) ) ).

cnf(i_0_1203_069,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X1,X3)
    | c_Finite__Set_Ofinite(X2,X3) ) ).

cnf(i_0_1204_070,axiom,
    ( X1 != X2
    | ~ c_Finite__Set_Ofinite(X3,X1)
    | c_Finite__Set_Ofinite(X3,X2) ) ).

cnf(i_0_1205_071,axiom,
    ( X1 != X2
    | ~ hBOOL(X1)
    | hBOOL(X2) ) ).

cnf(i_0_1206_072,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X1,X3,X4)
    | c_Relation_Ototal__on(X2,X3,X4) ) ).

cnf(i_0_1207_073,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X1,X4)
    | c_Relation_Ototal__on(X3,X2,X4) ) ).

cnf(i_0_1208_074,axiom,
    ( X1 != X2
    | ~ c_Relation_Ototal__on(X3,X4,X1)
    | c_Relation_Ototal__on(X3,X4,X2) ) ).

cnf(i_0_1209_075,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Orefl_H(X1,X3)
    | c_Nitpick_Orefl_H(X2,X3) ) ).

cnf(i_0_1210_076,axiom,
    ( X1 != X2
    | ~ c_Nitpick_Orefl_H(X3,X1)
    | c_Nitpick_Orefl_H(X3,X2) ) ).

cnf(i_0_1211_077,axiom,
    ( X1 != X2
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(X2) ) ).

cnf(i_0_1212_078,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olower__semilattice(X1)
    | class_Lattices_Olower__semilattice(X2) ) ).

cnf(i_0_1213_079,axiom,
    ( X1 != X2
    | ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(X2) ) ).

cnf(i_0_1214_080,axiom,
    ( X1 != X2
    | ~ class_HOL_Oord(X1)
    | class_HOL_Oord(X2) ) ).

cnf(i_0_1215_081,axiom,
    ( X1 != X2
    | ~ c_lessequals(X1,X3,X4)
    | c_lessequals(X2,X3,X4) ) ).

cnf(i_0_1216_082,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X1,X4)
    | c_lessequals(X3,X2,X4) ) ).

cnf(i_0_1217_083,axiom,
    ( X1 != X2
    | ~ c_lessequals(X3,X4,X1)
    | c_lessequals(X3,X4,X2) ) ).

cnf(i_0_1218_084,axiom,
    ( X1 != X2
    | ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(X2) ) ).

cnf(i_0_1219_085,axiom,
    ( X1 != X2
    | ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(X2) ) ).

cnf(i_0_1220_086,axiom,
    ( X1 != X2
    | ~ class_Orderings_Olinorder(X1)
    | class_Orderings_Olinorder(X2) ) ).

cnf(i_0_1221_087,axiom,
    ( X1 != X2
    | ~ c_fequal(X1,X3,X4)
    | c_fequal(X2,X3,X4) ) ).

cnf(i_0_1222_088,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X1,X4)
    | c_fequal(X3,X2,X4) ) ).

cnf(i_0_1223_089,axiom,
    ( X1 != X2
    | ~ c_fequal(X3,X4,X1)
    | c_fequal(X3,X4,X2) ) ).

cnf(i_0_1224_090,axiom,
    ( X1 != X2
    | ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(X2) ) ).

cnf(i_0_1225_091,axiom,
    ( X1 != X2
    | ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(X2) ) ).

cnf(i_0_1226_092,axiom,
    ( X1 != X2
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(X2) ) ).

cnf(i_0_1227_093,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X1,X3,X4,X5,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X2,X3,X4,X5,X6,X7) ) ).

cnf(i_0_1228_094,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X1,X4,X5,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X2,X4,X5,X6,X7) ) ).

cnf(i_0_1229_095,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X1,X5,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X2,X5,X6,X7) ) ).

cnf(i_0_1230_096,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X5,X1,X6,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X5,X2,X6,X7) ) ).

cnf(i_0_1231_097,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X1,X7)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X2,X7) ) ).

cnf(i_0_1232_098,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X7,X1)
    | c_Equiv__Relations_Ocongruent2(X3,X4,X5,X6,X7,X2) ) ).

cnf(i_0_1233_099,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X1,X3,X4,X5)
    | c_Equiv__Relations_Ocongruent(X2,X3,X4,X5) ) ).

cnf(i_0_1234_100,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X3,X1,X4,X5)
    | c_Equiv__Relations_Ocongruent(X3,X2,X4,X5) ) ).

cnf(i_0_1235_101,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X3,X4,X1,X5)
    | c_Equiv__Relations_Ocongruent(X3,X4,X2,X5) ) ).

cnf(i_0_1236_102,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Ocongruent(X3,X4,X5,X1)
    | c_Equiv__Relations_Ocongruent(X3,X4,X5,X2) ) ).

cnf(i_0_1237_103,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Oequiv(X1,X3,X4)
    | c_Equiv__Relations_Oequiv(X2,X3,X4) ) ).

cnf(i_0_1238_104,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Oequiv(X3,X1,X4)
    | c_Equiv__Relations_Oequiv(X3,X2,X4) ) ).

cnf(i_0_1239_105,axiom,
    ( X1 != X2
    | ~ c_Equiv__Relations_Oequiv(X3,X4,X1)
    | c_Equiv__Relations_Oequiv(X3,X4,X2) ) ).

cnf(i_0_1240_106,axiom,
    ( X1 != X2
    | ~ c_Wellfounded_Owf(X1,X3)
    | c_Wellfounded_Owf(X2,X3) ) ).

cnf(i_0_1241_107,axiom,
    ( X1 != X2
    | ~ c_Wellfounded_Owf(X3,X1)
    | c_Wellfounded_Owf(X3,X2) ) ).

cnf(i_0_1242_108,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X1,X3,X4,X5,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X2,X3,X4,X5,X6) ) ).

cnf(i_0_1243_109,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X1,X4,X5,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X2,X4,X5,X6) ) ).

cnf(i_0_1244_110,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X1,X5,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X2,X5,X6) ) ).

cnf(i_0_1245_111,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X1,X6)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X2,X6) ) ).

cnf(i_0_1246_112,axiom,
    ( X1 != X2
    | ~ c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X6,X1)
    | c_ATP__Linkup_Osko__Wellfounded__XwfI__1__2(X3,X4,X5,X6,X2) ) ).

cnf(i_0_1247_113,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X1,X3,X4)
    | c_Relation_Orefl__on(X2,X3,X4) ) ).

cnf(i_0_1248_114,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X1,X4)
    | c_Relation_Orefl__on(X3,X2,X4) ) ).

cnf(i_0_1249_115,axiom,
    ( X1 != X2
    | ~ c_Relation_Orefl__on(X3,X4,X1)
    | c_Relation_Orefl__on(X3,X4,X2) ) ).

cnf(i_0_1250_116,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X1,X3)
    | c_Relation_Otrans(X2,X3) ) ).

cnf(i_0_1251_117,axiom,
    ( X1 != X2
    | ~ c_Relation_Otrans(X3,X1)
    | c_Relation_Otrans(X3,X2) ) ).

cnf(i_0_1252,plain,
    c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X3,X4,X5),
    inference(equality_inference,[],[609]) ).

cnf(i_0_1253,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | hAPP(X5,X1) = hAPP(X5,X1) ),
    inference(equality_inference,[],[647]) ).

cnf(i_0_1254,plain,
    ( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | ~ c_in(X4,X1,X3)
    | c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3)) ),
    inference(equality_inference,[],[706]) ).

cnf(i_0_1255,plain,
    ( ~ c_Relation_Oantisym(X1,X2)
    | X3 = X3
    | ~ c_in(X3,c_Relation_OField(X1,X2),X2)
    | ~ c_in(X3,c_Relation_OField(X1,X2),X2)
    | ~ c_Relation_Orefl__on(c_Relation_OField(X1,X2),X1,X2) ),
    inference(equality_inference,[],[724]) ).

cnf(i_0_1256,plain,
    ( ~ c_in(X1,X2,X3)
    | ~ c_Equiv__Relations_Oequiv(X2,X4,X3)
    | ~ c_in(X1,X2,X3)
    | c_in(c_Pair(X1,X1,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(equality_inference,[],[760]) ).

cnf(i_0_1257,plain,
    ( X1 = X1
    | ~ c_in(X2,X3,X4) ),
    inference(equality_inference,[],[789]) ).

cnf(i_0_1258,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[850]) ).

cnf(i_0_1259,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[851]) ).

cnf(i_0_1260,plain,
    ( X1 = X2
    | X2 = X2 ),
    inference(equality_inference,[],[852]) ).

cnf(i_0_1261,plain,
    ( X1 = X2
    | X1 = X1 ),
    inference(equality_inference,[],[853]) ).

cnf(i_0_1262,plain,
    X1 = X1,
    inference(equality_inference,[],[854]) ).

cnf(i_0_1263,plain,
    X1 = X1,
    inference(equality_inference,[],[855]) ).

cnf(i_0_1264,plain,
    X1 = X1,
    inference(equality_inference,[],[945]) ).

cnf(i_0_1265,plain,
    ( X1 = X1
    | c_in(X2,X1,X3)
    | c_in(X2,X1,X3) ),
    inference(equality_inference,[],[979]) ).

cnf(i_0_1266,plain,
    ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_R____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_1083,i_0_822]) ).

cnf(i_0_1267,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(rename_variables,[],[i_0_822]) ).

cnf(i_0_1268,plain,
    ~ c_in(c_Pair(X1,X2,X3,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(X4,c_Arrow__Order__Mirabelle_Omkbot(X5,X2),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(X3,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_1083,i_0_839,i_0_822,i_0_607]) ).

cnf(i_0_1269,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1270,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X2,X7,X6),X4,tc_prod(X7,X6))
    | ~ c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)) ),
    inference(rename_variables,[],[i_0_607]) ).

cnf(i_0_1271,plain,
    c_in(X1,c_FuncSet_OPi(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,X4),tc_fun(X2,X4)),
    inference(scs_inference,[],[i_0_1083,i_0_839,i_0_1054,i_0_822,i_0_607,i_0_668]) ).

cnf(i_0_1272,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1273,plain,
    ( c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(X1,X2,X3,X4,X5),X1,X4)
    | c_in(X3,c_FuncSet_OPi(X1,X2,X4,X5),tc_fun(X4,X5)) ),
    inference(rename_variables,[],[i_0_668]) ).

cnf(i_0_1274,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(c_Set_Oinsert(c_Pair(hAPP(X4,X1),hAPP(X4,X2),X5,X5),X6,tc_prod(X5,X5)),X4,X5,X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_1058,i_0_1083,i_0_839,i_0_1054,i_0_822,i_0_607,i_0_668,i_0_709]) ).

cnf(i_0_1275,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1276,plain,
    ( ~ c_in(c_Pair(hAPP(X1,X2),hAPP(X1,X3),X4,X4),X5,tc_prod(X4,X4))
    | c_in(c_Pair(X2,X3,X6,X6),c_Relation_Oinv__image(X5,X1,X4,X6),tc_prod(X6,X6)) ),
    inference(rename_variables,[],[i_0_709]) ).

cnf(i_0_1277,plain,
    c_in(c_Pair(X1,X2,X3,X4),c_Relation_Oconverse(c_Set_Oinsert(c_Pair(X2,X1,X4,X3),X5,tc_prod(X4,X3)),X4,X3),tc_prod(X3,X4)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1083,i_0_839,i_0_1054,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763]) ).

cnf(i_0_1278,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1279,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(c_Pair(X2,X1,X4,X3),c_Relation_Oconverse(X5,X3,X4),tc_prod(X4,X3)) ),
    inference(rename_variables,[],[i_0_763]) ).

cnf(i_0_1280,plain,
    c_in(X1,c_Relation_ODomain(c_Set_Oinsert(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4)),X3,X4),X3),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1083,i_0_839,i_0_1054,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821]) ).

cnf(i_0_1281,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1282,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
    | c_in(X1,c_Relation_ODomain(X5,X3,X4),X3) ),
    inference(rename_variables,[],[i_0_821]) ).

cnf(i_0_1283,plain,
    c_in(X1,c_Wellfounded_Oacc(c_Arrow__Order__Mirabelle_Omkbot(X2,X1),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1083,i_0_839,i_0_1269,i_0_1054,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845]) ).

cnf(i_0_1284,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1285,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))
    | c_in(X2,c_Wellfounded_Oacc(X1,X3),X3) ),
    inference(rename_variables,[],[i_0_845]) ).

cnf(i_0_1286,plain,
    c_in(X1,c_Wellfounded_Oacc(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),X2),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1083,i_0_839,i_0_1269,i_0_1054,i_0_1272,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846]) ).

cnf(i_0_1287,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1288,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(X1,X2,X3),X2,X3,X3),X1,tc_prod(X3,X3))
    | c_in(X2,c_Wellfounded_Oacc(X1,X3),X3) ),
    inference(rename_variables,[],[i_0_846]) ).

cnf(i_0_1289,plain,
    c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1054,i_0_1272,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940]) ).

cnf(i_0_1290,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1291,plain,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_940]) ).

cnf(i_0_1292,plain,
    c_in(c_Arrow__Order__Mirabelle_Omkbot(v_R____,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1054,i_0_1272,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957]) ).

cnf(i_0_1293,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(rename_variables,[],[i_0_957]) ).

cnf(i_0_1294,plain,
    c_in(c_Arrow__Order__Mirabelle_Omktop(v_R____,X1),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1054,i_0_1272,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958]) ).

cnf(i_0_1295,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Arrow__Order__Mirabelle_Omktop(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(rename_variables,[],[i_0_958]) ).

cnf(i_0_1296,plain,
    c_in(X1,c_Transitive__Closure_Ortrancl(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1054,i_0_1272,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007]) ).

cnf(i_0_1297,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1298,plain,
    ( ~ c_in(X1,X2,tc_prod(X3,X3))
    | c_in(X1,c_Transitive__Closure_Ortrancl(X2,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_1007]) ).

cnf(i_0_1299,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1054,i_0_1272,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087]) ).

cnf(i_0_1300,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1087]) ).

cnf(i_0_1301,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,X3),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X4,X1),X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,X3)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_840,i_0_1054,i_0_1272,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608]) ).

cnf(i_0_1302,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_840]) ).

cnf(i_0_1303,plain,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(X1,X2,X3,X4,X5,X6,X7),X5,X7),X3,tc_prod(X5,X7))
    | ~ c_in(c_Pair(X1,X2,X5,X6),c_Relation_Orel__comp(X3,X4,X5,X7,X6),tc_prod(X5,X6)) ),
    inference(rename_variables,[],[i_0_608]) ).

cnf(i_0_1304,plain,
    c_Recdef_Ocut(X1,c_Arrow__Order__Mirabelle_Omkbot(X2,X3),X3,tc_Arrow__Order__Mirabelle_Oalt,X4) = c_Recdef_Ocut(X5,c_Arrow__Order__Mirabelle_Omkbot(X2,X3),X3,tc_Arrow__Order__Mirabelle_Oalt,X4),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1284,i_0_840,i_0_1054,i_0_1272,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610]) ).

cnf(i_0_1305,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1306,plain,
    ( c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(X1,X2,X3,X4,X5,X6),X4,X5,X5),X3,tc_prod(X5,X5))
    | c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6) ),
    inference(rename_variables,[],[i_0_610]) ).

cnf(i_0_1307,plain,
    ~ c_in(X1,c_Relation_OImage(c_Arrow__Order__Mirabelle_Omkbot(X2,X1),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_840,i_0_1054,i_0_1272,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633]) ).

cnf(i_0_1308,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1309,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(rename_variables,[],[i_0_633]) ).

cnf(i_0_1310,plain,
    ~ c_in(X1,c_Relation_OImage(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4,X2,X3),X3),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_840,i_0_1054,i_0_1272,i_0_1287,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634]) ).

cnf(i_0_1311,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1312,plain,
    ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(X1,X2,X3,X4,X5),X2,X4,X5),X3,tc_prod(X4,X5))
    | ~ c_in(X2,c_Relation_OImage(X3,X1,X4,X5),X5) ),
    inference(rename_variables,[],[i_0_634]) ).

cnf(i_0_1313,plain,
    ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(c_Arrow__Order__Mirabelle_Omkbot(X4,hAPP(X5,X2)),X5,tc_Arrow__Order__Mirabelle_Oalt,X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1054,i_0_1272,i_0_1287,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701]) ).

cnf(i_0_1314,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1315,plain,
    ( c_in(c_Pair(hAPP(X1,X2),hAPP(X1,X3),X4,X4),X5,tc_prod(X4,X4))
    | ~ c_in(c_Pair(X2,X3,X6,X6),c_Relation_Oinv__image(X5,X1,X4,X6),tc_prod(X6,X6)) ),
    inference(rename_variables,[],[i_0_701]) ).

cnf(i_0_1316,plain,
    c_Equiv__Relations_Oequiv(c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1054,i_0_1272,i_0_1287,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705]) ).

cnf(i_0_1317,plain,
    c_Relation_Orel__comp(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X3),tc_bool)),
    inference(rename_variables,[],[i_0_779]) ).

cnf(i_0_1318,plain,
    ( c_Relation_Orel__comp(c_Relation_Oconverse(X1,X2,X2),X1,X2,X2,X2) != X1
    | c_Equiv__Relations_Oequiv(c_Relation_ODomain(X1,X2,X2),X1,X2) ),
    inference(rename_variables,[],[i_0_705]) ).

cnf(i_0_1319,plain,
    c_lessequals(c_Relation_OImage(c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X4),X4,X3),X5,X4,X3),X2,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1054,i_0_1272,i_0_1287,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713]) ).

cnf(i_0_1320,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1321,plain,
    ( ~ c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(tc_prod(X5,X4),tc_bool))
    | c_lessequals(c_Relation_OImage(X1,X6,X5,X4),X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_713]) ).

cnf(i_0_1322,plain,
    c_lessequals(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X4,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1054,i_0_1272,i_0_1287,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716]) ).

cnf(i_0_1323,plain,
    ( ~ c_in(X1,c_FuncSet_OPi(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(X5,X4))
    | c_lessequals(c_Set_Oimage(X1,X2,X5,X4),X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_716]) ).

cnf(i_0_1324,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729]) ).

cnf(i_0_1325,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_840]) ).

cnf(i_0_1326,plain,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    inference(rename_variables,[],[i_0_729]) ).

cnf(i_0_1327,plain,
    ~ c_in(X1,c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X2,X3),X2),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730]) ).

cnf(i_0_1328,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1329,plain,
    ( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,X2,X3,X4),X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ODomain(X2,X3,X4),X3) ),
    inference(rename_variables,[],[i_0_730]) ).

cnf(i_0_1330,plain,
    c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,c_Set_Oinsert(X5,X2,X3),X3,X4),tc_fun(X4,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805]) ).

cnf(i_0_1331,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(rename_variables,[],[i_0_805]) ).

cnf(i_0_1332,plain,
    c_Nitpick_Orefl_H(c_Transitive__Closure_Ortrancl(X1,X2),X2),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_871,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818]) ).

cnf(i_0_1333,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1334,plain,
    ( ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(X1,X2),X2,X2),X1,tc_prod(X2,X2))
    | c_Nitpick_Orefl_H(X1,X2) ),
    inference(rename_variables,[],[i_0_818]) ).

cnf(i_0_1335,plain,
    c_Pair(X1,X1,X2,X2) = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(X1,X1,X2,X2),X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(X1,X1,X2,X2),X2),X2,X2),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830]) ).

cnf(i_0_1336,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1337,plain,
    ( ~ c_in(X1,c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_prod(X2,X2))
    | X1 = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),c_ATP__Linkup_Osko__Relation__XIdE__1__1(X1,X2),X2,X2) ),
    inference(rename_variables,[],[i_0_830]) ).

cnf(i_0_1338,plain,
    ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836]) ).

cnf(i_0_1339,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1340,plain,
    ( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    inference(rename_variables,[],[i_0_836]) ).

cnf(i_0_1341,plain,
    X1 = c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(X1,X1,X2,X2),X2),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854]) ).

cnf(i_0_1342,plain,
    ( c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4)
    | X1 = X5 ),
    inference(rename_variables,[],[i_0_854]) ).

cnf(i_0_1343,plain,
    ~ c_Nitpick_Orefl_H(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872]) ).

cnf(i_0_1344,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1345,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Nitpick_Orefl_H(X3,X2) ),
    inference(rename_variables,[],[i_0_872]) ).

cnf(i_0_1346,plain,
    c_lessequals(c_Relation_ODomain(X1,X2,X3),c_Relation_ODomain(c_Set_Oinsert(X4,X1,tc_prod(X2,X3)),X2,X3),tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892]) ).

cnf(i_0_1347,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1348,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool))
    | c_lessequals(c_Relation_ODomain(X1,X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_892]) ).

cnf(i_0_1349,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905]) ).

cnf(i_0_1350,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1351,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_905]) ).

cnf(i_0_1352,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906]) ).

cnf(i_0_1353,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1354,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_906]) ).

cnf(i_0_1355,plain,
    c_Relation_ODomain(c_Relation_Oconverse(c_Set_Oinsert(X1,X2,tc_prod(X3,X4)),X3,X4),X4,X3) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1077,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928]) ).

cnf(i_0_1356,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1077]) ).

cnf(i_0_1357,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X3),X3,X2) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_928]) ).

cnf(i_0_1358,plain,
    c_lessequals(c_Wellfounded_Oacc(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),c_Wellfounded_Oacc(X2,X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1077,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947]) ).

cnf(i_0_1359,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1360,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | c_lessequals(c_Wellfounded_Oacc(X2,X3),c_Wellfounded_Oacc(X1,X3),tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_947]) ).

cnf(i_0_1361,plain,
    c_lessequals(c_Relation_OField(X1,X2),c_Relation_OField(c_Set_Oinsert(X3,X1,tc_prod(X2,X2)),X2),tc_fun(X2,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1077,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948]) ).

cnf(i_0_1362,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1363,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | c_lessequals(c_Relation_OField(X1,X3),c_Relation_OField(X2,X3),tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_948]) ).

cnf(i_0_1364,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1077,i_0_1356,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010]) ).

cnf(i_0_1365,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1010]) ).

cnf(i_0_1366,plain,
    c_Relation_ODomain(c_Set_Oinsert(X1,X2,tc_prod(X3,X4)),X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1077,i_0_1356,i_0_779,i_0_1000,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022]) ).

cnf(i_0_1367,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1077]) ).

cnf(i_0_1368,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool))
    | c_Relation_ODomain(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(rename_variables,[],[i_0_1022]) ).

cnf(i_0_1369,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1077,i_0_1356,i_0_779,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080]) ).

cnf(i_0_1370,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_1080]) ).

cnf(i_0_1371,plain,
    ~ c_fequal(v_a,v_b,X1),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092]) ).

cnf(i_0_1372,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1092]) ).

cnf(i_0_1373,plain,
    c_lessequals(X1,X1,tc_bool),
    inference(scs_inference,[],[i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106]) ).

cnf(i_0_1374,plain,
    ( ~ class_Orderings_Oorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1106]) ).

cnf(i_0_1375,plain,
    c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),X7,X4,X6) = c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X7,X4,X5),X3,X7,X5,X6),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136]) ).

cnf(i_0_1376,plain,
    c_Relation_Orefl__on(c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073]) ).

cnf(i_0_1377,plain,
    ( ~ c_Equiv__Relations_Oequiv(X1,X2,X3)
    | c_Relation_Orefl__on(X1,X2,X3) ),
    inference(rename_variables,[],[i_0_1073]) ).

cnf(i_0_1378,plain,
    c_Finite__Set_Ofinite(X1,tc_bool),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124]) ).

cnf(i_0_1379,plain,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | c_Finite__Set_Ofinite(X2,X1) ),
    inference(rename_variables,[],[i_0_1124]) ).

cnf(i_0_1380,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omktop(X3,X1),X4,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omktop(X3,X1),X4,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1353,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627]) ).

cnf(i_0_1381,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1382,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_in(X4,c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X3),X3,X3,X3),tc_prod(X3,X3))
    | c_in(X4,c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_627]) ).

cnf(i_0_1383,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omktop(X3,X1),X4,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1353,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643]) ).

cnf(i_0_1384,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1385,plain,
    ( c_in(c_Pair(X1,X2,X3,X3),c_Relation_Orel__comp(X4,c_Transitive__Closure_Ortrancl(X4,X3),X3,X3,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X5,X2,X3,X3),X4,tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_643]) ).

cnf(i_0_1386,plain,
    c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oinv__image(c_Set_Oinsert(c_Pair(hAPP(X4,X1),hAPP(X4,X2),X5,X5),X6,tc_prod(X5,X5)),X4,X5,X3),X3),tc_prod(X3,X3)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1013,i_0_1350,i_0_1353,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696]) ).

cnf(i_0_1387,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1388,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X1,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X5,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3)) ),
    inference(rename_variables,[],[i_0_696]) ).

cnf(i_0_1389,plain,
    c_Wellfounded_Owf(c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(X2,tc_fun(X1,tc_bool),X1),X1,X1),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1013,i_0_1350,i_0_1353,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714]) ).

cnf(i_0_1390,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1391,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1392,plain,
    ( ~ c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X4),X4,X4),tc_fun(tc_prod(X4,X4),tc_bool))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X2,X3,X1,X4),X2,X4)
    | c_Wellfounded_Owf(X1,X4) ),
    inference(rename_variables,[],[i_0_714]) ).

cnf(i_0_1393,plain,
    c_Wellfounded_Owf(c_Product__Type_OSigma(X1,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X2),X2,X2),X2),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1013,i_0_1350,i_0_1353,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715]) ).

cnf(i_0_1394,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1395,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1396,plain,
    ( ~ c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X4),X4,X4),tc_fun(tc_prod(X4,X4),tc_bool))
    | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X2,X3,X1,X4),X3,X4)
    | c_Wellfounded_Owf(X1,X4) ),
    inference(rename_variables,[],[i_0_715]) ).

cnf(i_0_1397,plain,
    c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),X1,X1),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1013,i_0_1350,i_0_1353,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758]) ).

cnf(i_0_1398,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1399,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1400,plain,
    ( ~ c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(X2,X1,X3),X2,X3)
    | c_Relation_Orefl__on(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_758]) ).

cnf(i_0_1401,plain,
    c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),X1,X1),X2,tc_fun(tc_prod(X1,X1),tc_bool)),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759]) ).

cnf(i_0_1402,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1403,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1404,plain,
    ( ~ c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool))
    | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(X2,X1,X3),X2,X3)
    | c_Relation_Orefl__on(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_759]) ).

cnf(i_0_1405,plain,
    ~ c_in(c_Pair(v_a,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Omkbot(X2,X1),v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772]) ).

cnf(i_0_1406,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1407,plain,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X4 ),
    inference(rename_variables,[],[i_0_772]) ).

cnf(i_0_1408,plain,
    ~ c_in(c_Pair(X1,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X2,v_a),v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773]) ).

cnf(i_0_1409,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1410,plain,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4 ),
    inference(rename_variables,[],[i_0_773]) ).

cnf(i_0_1411,plain,
    ~ c_Equiv__Relations_Oequiv(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811]) ).

cnf(i_0_1412,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1413,plain,
    ( c_in(X1,c_Relation_OImage(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3,X3),X3)
    | ~ c_Equiv__Relations_Oequiv(X4,X2,X3)
    | ~ c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_811]) ).

cnf(i_0_1414,plain,
    c_in(v_a,c_Relation_ODomain(c_Relation_Oinv__image(c_Set_Oinsert(c_Pair(hAPP(X1,v_a),hAPP(X1,v_b),X2,X2),X3,tc_prod(X2,X2)),X1,X2,X4),X4,X4),X4),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815]) ).

cnf(i_0_1415,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(X4,X3),tc_prod(X3,X3))
    | c_in(X1,c_Relation_ODomain(X4,X3,X3),X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_815]) ).

cnf(i_0_1416,plain,
    c_in(hAPP(X1,X2),c_Set_Oinsert(X3,c_Set_Oimage(X1,c_Set_Oinsert(X2,X4,X5),X5,X6),X6),X6),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819]) ).

cnf(i_0_1417,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1418,plain,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | c_in(hAPP(X1,X6),X5,X4)
    | ~ c_in(X6,X2,X3) ),
    inference(rename_variables,[],[i_0_819]) ).

cnf(i_0_1419,plain,
    ~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Set_Oinsert(c_Pair(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X5,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823]) ).

cnf(i_0_1420,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1421,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X4,X3)
    | c_in(X1,X5,X3) ),
    inference(rename_variables,[],[i_0_823]) ).

cnf(i_0_1422,plain,
    ~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Set_Oinsert(c_Pair(X3,c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X5,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824]) ).

cnf(i_0_1423,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1424,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Equiv__Relations_Oequiv(X5,X4,X3)
    | c_in(X2,X5,X3) ),
    inference(rename_variables,[],[i_0_824]) ).

cnf(i_0_1425,plain,
    ~ c_Relation_Orefl__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Set_Oinsert(c_Pair(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X5,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825]) ).

cnf(i_0_1426,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1427,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X5,X4,X3)
    | c_in(X1,X5,X3) ),
    inference(rename_variables,[],[i_0_825]) ).

cnf(i_0_1428,plain,
    ~ c_Relation_Orefl__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Set_Oinsert(c_Pair(X3,c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X5,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826]) ).

cnf(i_0_1429,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1430,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Orefl__on(X5,X4,X3)
    | c_in(X2,X5,X3) ),
    inference(rename_variables,[],[i_0_826]) ).

cnf(i_0_1431,plain,
    c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(v_R____,v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847]) ).

cnf(i_0_1432,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_847]) ).

cnf(i_0_1433,plain,
    c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(v_R____,v_b,v_a),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848]) ).

cnf(i_0_1434,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X3 = X2 ),
    inference(rename_variables,[],[i_0_848]) ).

cnf(i_0_1435,plain,
    c_in(c_Arrow__Order__Mirabelle_Oabove(v_R____,v_a,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916]) ).

cnf(i_0_1436,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Arrow__Order__Mirabelle_Oabove(X1,X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_916]) ).

cnf(i_0_1437,plain,
    c_in(c_Arrow__Order__Mirabelle_Obelow(v_R____,v_a,v_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917]) ).

cnf(i_0_1438,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_917]) ).

cnf(i_0_1439,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omkbot(X3,X2),X4,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990]) ).

cnf(i_0_1440,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1441,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_in(X4,X2,X3)
    | ~ c_in(X4,X1,X3) ),
    inference(rename_variables,[],[i_0_990]) ).

cnf(i_0_1442,plain,
    ~ c_Equiv__Relations_Oequiv(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254]) ).

cnf(i_0_1443,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_840]) ).

cnf(i_0_1444,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1445,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Equiv__Relations_Oequiv(X4,X3,X2)
    | ~ c_in(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_1254]) ).

cnf(i_0_1446,plain,
    ~ c_in(c_Relation_ODomain(c_Relation_OId__on(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X3,X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196]) ).

cnf(i_0_1447,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1448,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_ODomain(c_Relation_OId__on(c_Arrow__Order__Mirabelle_Omkbot(X3,X2),X4),X4,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197]) ).

cnf(i_0_1449,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1450,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),c_Relation_ODomain(c_Relation_OId__on(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4),X4,X4)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198]) ).

cnf(i_0_1451,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1452,plain,
    c_lessequals(c_Product__Type_OSigma(X1,X2,X3,X4),c_Product__Type_OSigma(c_Set_Oinsert(X5,X1,X3),X2,X3,X4),tc_fun(tc_prod(X3,X4),tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612]) ).

cnf(i_0_1453,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1454,plain,
    ( ~ c_lessequals(hAPP(X1,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X2,X1,X3,X4,X5)),hAPP(X3,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(X2,X1,X3,X4,X5)),tc_fun(X5,tc_bool))
    | c_lessequals(c_Product__Type_OSigma(X2,X1,X4,X5),c_Product__Type_OSigma(X6,X3,X4,X5),tc_fun(tc_prod(X4,X5),tc_bool))
    | ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_612]) ).

cnf(i_0_1455,plain,
    c_lessequals(c_Relation_Orel__comp(c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),X2,X2,X2),c_Product__Type_OSigma(X1,c_COMBK(X1,tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632]) ).

cnf(i_0_1456,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1457,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1458,plain,
    ( ~ c_lessequals(X1,c_Product__Type_OSigma(X2,c_COMBK(X3,tc_fun(X4,tc_bool),X5),X5,X4),tc_fun(tc_prod(X5,X4),tc_bool))
    | c_lessequals(c_Relation_Orel__comp(X1,X6,X5,X4,X7),c_Product__Type_OSigma(X2,c_COMBK(X8,tc_fun(X7,tc_bool),X5),X5,X7),tc_fun(tc_prod(X5,X7),tc_bool))
    | ~ c_lessequals(X6,c_Product__Type_OSigma(X3,c_COMBK(X8,tc_fun(X7,tc_bool),X4),X4,X7),tc_fun(tc_prod(X4,X7),tc_bool)) ),
    inference(rename_variables,[],[i_0_632]) ).

cnf(i_0_1459,plain,
    c_lessequals(c_Relation_Orel__comp(X1,X1,X2,X2,X2),c_Relation_Orel__comp(c_Set_Oinsert(X3,X1,tc_prod(X2,X2)),c_Set_Oinsert(X3,X1,tc_prod(X2,X2)),X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638]) ).

cnf(i_0_1460,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1461,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1462,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool))
    | ~ c_lessequals(X5,X6,tc_fun(tc_prod(X7,X3),tc_bool))
    | c_lessequals(c_Relation_Orel__comp(X5,X1,X7,X3,X4),c_Relation_Orel__comp(X6,X2,X7,X3,X4),tc_fun(tc_prod(X7,X4),tc_bool)) ),
    inference(rename_variables,[],[i_0_638]) ).

cnf(i_0_1463,plain,
    ~ c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(v_R____,v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718]) ).

cnf(i_0_1464,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(rename_variables,[],[i_0_718]) ).

cnf(i_0_1465,plain,
    ~ c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(X1,X2),X2),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728]) ).

cnf(i_0_1466,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Wellfounded_Owf(X4,X3) ),
    inference(rename_variables,[],[i_0_728]) ).

cnf(i_0_1467,plain,
    c_lessequals(c_Relation_OImage(X1,X2,X3,X4),c_Relation_OImage(c_Set_Oinsert(X5,X1,tc_prod(X3,X4)),c_Set_Oinsert(X6,X2,X3),X3,X4),tc_fun(X4,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787]) ).

cnf(i_0_1468,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1469,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool))
    | ~ c_lessequals(X5,X6,tc_fun(X3,tc_bool))
    | c_lessequals(c_Relation_OImage(X1,X5,X3,X4),c_Relation_OImage(X2,X6,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_787]) ).

cnf(i_0_1470,plain,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(v_R____,v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800]) ).

cnf(i_0_1471,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X1,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X3 = X4 ),
    inference(rename_variables,[],[i_0_800]) ).

cnf(i_0_1472,plain,
    ~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(v_R____,v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_779,i_0_1126,i_0_1130,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801]) ).

cnf(i_0_1473,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X1,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X3 = X4 ),
    inference(rename_variables,[],[i_0_801]) ).

cnf(i_0_1474,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Relation_OImage(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),c_Set_Oinsert(X1,X2,X3),X3,X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832]) ).

cnf(i_0_1475,plain,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1077]) ).

cnf(i_0_1476,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Relation_OImage(X3,X1,X2,X2),tc_fun(X2,tc_bool))
    | ~ c_Wellfounded_Owf(X3,X2) ),
    inference(rename_variables,[],[i_0_832]) ).

cnf(i_0_1477,plain,
    ~ c_Relation_Orefl__on(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859]) ).

cnf(i_0_1478,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1479,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1480,plain,
    ( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
    | ~ c_Relation_Orefl__on(X4,X3,X2)
    | ~ c_in(X1,X4,X2) ),
    inference(rename_variables,[],[i_0_859]) ).

cnf(i_0_1481,plain,
    c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(X2,X3),tc_Arrow__Order__Mirabelle_Oalt),c_Wellfounded_Oacc(c_Arrow__Order__Mirabelle_Omkbot(X2,X3),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938]) ).

cnf(i_0_1482,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1483,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4)
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4) ),
    inference(rename_variables,[],[i_0_938]) ).

cnf(i_0_1484,plain,
    c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(X2,X3),tc_Arrow__Order__Mirabelle_Oalt),c_Wellfounded_Oacc(c_Arrow__Order__Mirabelle_Omkbot(X2,X3),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939]) ).

cnf(i_0_1485,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1486,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,c_Wellfounded_Oacc(X3,X4),X4)
    | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X3,X4),c_Wellfounded_Oacc(X3,X4),X4) ),
    inference(rename_variables,[],[i_0_939]) ).

cnf(i_0_1487,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X1,tc_bool),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966]) ).

cnf(i_0_1488,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4)
    | c_lessequals(X1,X2,X4) ),
    inference(rename_variables,[],[i_0_966]) ).

cnf(i_0_1489,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X2,tc_bool),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968]) ).

cnf(i_0_1490,plain,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4)
    | c_lessequals(X1,X3,X4) ),
    inference(rename_variables,[],[i_0_968]) ).

cnf(i_0_1491,plain,
    c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999]) ).

cnf(i_0_1492,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1493,plain,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
    inference(rename_variables,[],[i_0_1075]) ).

cnf(i_0_1494,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | X2 = X1 ),
    inference(rename_variables,[],[i_0_999]) ).

cnf(i_0_1495,plain,
    c_Relation_ODomain(c_Relation_OId__on(c_Relation_Orel__comp(c_Relation_Orel__comp(X1,X2,X3,X4,X5),X6,X3,X5,X7),X8),X8,X8) = c_Relation_Orel__comp(X1,c_Relation_Orel__comp(X2,X6,X4,X5,X7),X3,X4,X7),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137]) ).

cnf(i_0_1496,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1497,plain,
    hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205]) ).

cnf(i_0_1498,plain,
    ~ c_Nitpick_Orefl_H(c_Relation_ODomain(c_Relation_OId__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),X3),X3,X3),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209]) ).

cnf(i_0_1499,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1500,plain,
    ~ c_Nitpick_Orefl_H(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Relation_ODomain(c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,X3),X3,X3)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210]) ).

cnf(i_0_1501,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1502,plain,
    class_Complete__Lattice_Ocomplete__lattice(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211]) ).

cnf(i_0_1503,plain,
    class_Lattices_Olower__semilattice(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212]) ).

cnf(i_0_1504,plain,
    class_Lattices_Olattice(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1126,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213]) ).

cnf(i_0_1505,plain,
    class_HOL_Oord(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214]) ).

cnf(i_0_1506,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3),c_Relation_OImage(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X3),tc_bool)),c_Set_Oinsert(X1,X2,X3),X3,X3),tc_fun(X3,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215]) ).

cnf(i_0_1507,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,tc_prod(X3,X4)),c_Relation_ODomain(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X4),tc_bool)),X5),X5,X5),tc_fun(tc_prod(X3,X4),tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216]) ).

cnf(i_0_1508,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1509,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,tc_prod(X3,X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X3,X4),tc_bool)),c_Relation_ODomain(c_Relation_OId__on(tc_fun(tc_prod(X3,X4),tc_bool),X5),X5,X5)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217]) ).

cnf(i_0_1510,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1511,plain,
    class_Orderings_Oorder(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218]) ).

cnf(i_0_1512,plain,
    class_Orderings_Opreorder(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219]) ).

cnf(i_0_1513,plain,
    ~ c_fequal(c_Relation_ODomain(c_Relation_OId__on(v_a,X1),X1,X1),v_b,X2),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221]) ).

cnf(i_0_1514,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1515,plain,
    ~ c_fequal(v_a,c_Relation_ODomain(c_Relation_OId__on(v_b,X1),X1,X1),X2),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222]) ).

cnf(i_0_1516,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1517,plain,
    class_Lattices_Obounded__lattice(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224]) ).

cnf(i_0_1518,plain,
    class_Orderings_Obot(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225]) ).

cnf(i_0_1519,plain,
    class_Finite__Set_Ofinite_Ofinite(c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X1,X1),X1)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226]) ).

cnf(i_0_1520,plain,
    ~ c_Equiv__Relations_Oequiv(c_Relation_ODomain(c_Relation_OId__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),X3),X3,X3),c_Set_Oinsert(c_Pair(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X5,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237]) ).

cnf(i_0_1521,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1522,plain,
    ~ c_Equiv__Relations_Oequiv(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_ODomain(c_Relation_OId__on(c_Arrow__Order__Mirabelle_Omkbot(X3,X1),X4),X4,X4),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238]) ).

cnf(i_0_1523,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1524,plain,
    ~ c_Equiv__Relations_Oequiv(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),c_Relation_ODomain(c_Relation_OId__on(tc_Arrow__Order__Mirabelle_Oalt,X4),X4,X4)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239]) ).

cnf(i_0_1525,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1526,plain,
    ~ c_Relation_Orefl__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Set_Oinsert(c_Pair(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X4,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),c_Relation_ODomain(c_Relation_OId__on(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5),X5,X5)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249]) ).

cnf(i_0_1527,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1528,plain,
    c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),X3),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834]) ).

cnf(i_0_1529,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1530,plain,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X3,X4)
    | c_Finite__Set_Ofinite(X1,X5) ),
    inference(rename_variables,[],[i_0_834]) ).

cnf(i_0_1531,plain,
    c_Relation_Oantisym(c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OId__on(X1,X2),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002]) ).

cnf(i_0_1532,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1533,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | c_Relation_Oantisym(X1,X3)
    | ~ c_Relation_Oantisym(X2,X3) ),
    inference(rename_variables,[],[i_0_1002]) ).

cnf(i_0_1534,plain,
    ~ c_Wellfounded_Owf(c_Set_Oinsert(X1,c_Set_Oinsert(c_Pair(X2,X2,X3,X3),X4,tc_prod(X3,X3)),tc_prod(X3,X3)),X3),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003]) ).

cnf(i_0_1535,plain,
    c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1036]) ).

cnf(i_0_1536,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
    | ~ c_Wellfounded_Owf(X2,X3)
    | c_Wellfounded_Owf(X1,X3) ),
    inference(rename_variables,[],[i_0_1003]) ).

cnf(i_0_1537,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X5,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031]) ).

cnf(i_0_1538,plain,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(rename_variables,[],[i_0_1000]) ).

cnf(i_0_1539,plain,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(rename_variables,[],[i_0_1031]) ).

cnf(i_0_1540,plain,
    c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060]) ).

cnf(i_0_1541,plain,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(rename_variables,[],[i_0_1013]) ).

cnf(i_0_1542,plain,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(rename_variables,[],[i_0_1060]) ).

cnf(i_0_1543,plain,
    ~ c_Wellfounded_Owf(c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X2),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240]) ).

cnf(i_0_1544,plain,
    ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X1,c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,X4,X5,X6,X7),X8,X5,X7),c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,X4,X5,X6,X7),X8,X5,X7)),X9,tc_prod(c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,X4,X5,X6,X7),X8,X5,X7),c_Relation_Orel__comp(X2,c_Relation_Orel__comp(X3,X4,X5,X6,X7),X8,X5,X7))),c_Relation_Orel__comp(c_Relation_Orel__comp(X2,X3,X8,X5,X6),X4,X8,X6,X7)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241]) ).

cnf(i_0_1545,plain,
    ~ c_Relation_Orefl__on(c_Relation_ODomain(c_Relation_OId__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),X3),X3,X3),c_Set_Oinsert(c_Pair(c_Pair(X2,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X5,tc_prod(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247]) ).

cnf(i_0_1546,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1547,plain,
    ~ c_Relation_Orefl__on(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_ODomain(c_Relation_OId__on(c_Arrow__Order__Mirabelle_Omkbot(X3,X1),X4),X4,X4),tc_Arrow__Order__Mirabelle_Oalt),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248]) ).

cnf(i_0_1548,plain,
    c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
    inference(rename_variables,[],[i_0_1093]) ).

cnf(i_0_1549,plain,
    ~ c_in(c_Pair(v_b,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Omkbot(v_R____,X1),v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735]) ).

cnf(i_0_1550,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1551,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X1,X4,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X4,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X4 = X2 ),
    inference(rename_variables,[],[i_0_735]) ).

cnf(i_0_1552,plain,
    ~ c_in(c_Pair(X1,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Omkbot(v_R____,v_b),v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736]) ).

cnf(i_0_1553,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_839]) ).

cnf(i_0_1554,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X1,X3,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X2,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X3 = X4 ),
    inference(rename_variables,[],[i_0_736]) ).

cnf(i_0_1555,plain,
    c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_R____,v_a,v_b),v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754]) ).

cnf(i_0_1556,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(X1,X2,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_754]) ).

cnf(i_0_1557,plain,
    c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_R____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792]) ).

cnf(i_0_1558,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | c_in(c_Pair(X3,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_792]) ).

cnf(i_0_1559,plain,
    ~ c_Relation_Oantisym(c_Set_Oinsert(c_Pair(v_b,v_a,X1,X1),c_Set_Oinsert(c_Pair(v_a,v_b,X1,X1),X2,tc_prod(X1,X1)),tc_prod(X1,X1)),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727]) ).

cnf(i_0_1560,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1561,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Oantisym(X4,X3)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_727]) ).

cnf(i_0_1562,plain,
    ~ c_Wellfounded_Owf(c_Wellfounded_Oacc(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_prod(X1,X1),tc_prod(X1,X1)),tc_bool)),tc_prod(X1,X1)),X1),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781]) ).

cnf(i_0_1563,plain,
    ( ~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(X2,X3,X4),X4,X4),X3,tc_prod(X4,X4))
    | ~ c_Wellfounded_Owf(X3,X4)
    | ~ c_in(X1,X2,X4)
    | ~ c_in(X5,X2,X4) ),
    inference(rename_variables,[],[i_0_781]) ).

cnf(i_0_1564,plain,
    ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Transitive__Closure_Ortrancl(X2,X3),X3),c_Wellfounded_Oacc(c_Transitive__Closure_Ortrancl(X2,X3),X3),X3),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783]) ).

cnf(i_0_1565,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1566,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1567,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1568,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    inference(rename_variables,[],[i_0_783]) ).

cnf(i_0_1569,plain,
    ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Transitive__Closure_Ortrancl(X2,X3),X3),c_Wellfounded_Oacc(c_Transitive__Closure_Ortrancl(X2,X3),X3),X3),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784]) ).

cnf(i_0_1570,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1571,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1572,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1573,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(X1,X4,X5),X5,X5),X4,tc_prod(X5,X5))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,X5),X5) ),
    inference(rename_variables,[],[i_0_784]) ).

cnf(i_0_1574,plain,
    ~ c_in(v_sko__Wellfounded__Xacc__Xinducts__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Transitive__Closure_Ortrancl(X2,t_a)),c_Wellfounded_Oacc(c_Transitive__Closure_Ortrancl(X2,t_a),t_a),t_a),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809]) ).

cnf(i_0_1575,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1576,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1577,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1578,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    inference(rename_variables,[],[i_0_809]) ).

cnf(i_0_1579,plain,
    ~ c_in(v_sko__Wellfounded__Xacc__Xinduct__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Transitive__Closure_Ortrancl(X2,t_a)),c_Wellfounded_Oacc(c_Transitive__Closure_Ortrancl(X2,t_a),t_a),t_a),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810]) ).

cnf(i_0_1580,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1581,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1582,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1583,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X1,X3))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinduct__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    inference(rename_variables,[],[i_0_810]) ).

cnf(i_0_1584,plain,
    c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Oabove(v_R____,v_a,v_b),v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747]) ).

cnf(i_0_1585,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X1,X2,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X4
    | X2 = X3 ),
    inference(rename_variables,[],[i_0_747]) ).

cnf(i_0_1586,plain,
    ~ c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Omktop(v_R____,v_a),v_a,v_b),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733]) ).

cnf(i_0_1587,plain,
    ~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
    inference(rename_variables,[],[i_0_840]) ).

cnf(i_0_1588,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(X1,X4,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X2 = X5
    | X3 = X5
    | X4 = X5 ),
    inference(rename_variables,[],[i_0_733]) ).

cnf(i_0_1589,plain,
    c_in(X1,c_FuncSet_OPi(c_Relation_OImage(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4,X2,X3),X5,X3,X6),tc_fun(X3,X6)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669]) ).

cnf(i_0_1590,plain,
    ( c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(X1,X2,X3,X4,X5),X1,X4)
    | c_in(X3,c_FuncSet_OPi(X1,X2,X4,X5),tc_fun(X4,X5)) ),
    inference(rename_variables,[],[i_0_669]) ).

cnf(i_0_1591,plain,
    ~ c_lessequals(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),c_Relation_OImage(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X4,X4),tc_bool)),c_Set_Oinsert(X2,X3,X4),X4,X4),tc_fun(X4,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931]) ).

cnf(i_0_1592,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(rename_variables,[],[i_0_931]) ).

cnf(i_0_1593,plain,
    c_lessequals(X1,X1,c_ATP__Linkup_Osko__Relation__XIdE__1__1(c_Pair(tc_bool,tc_bool,X2,X2),X2)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107]) ).

cnf(i_0_1594,plain,
    ( ~ class_Orderings_Opreorder(X1)
    | c_lessequals(X2,X2,X1) ),
    inference(rename_variables,[],[i_0_1107]) ).

cnf(i_0_1595,plain,
    c_Set_Oinsert(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Transitive__Closure_Ortrancl(X2,X3),X3),X4,X5) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192]) ).

cnf(i_0_1596,plain,
    ( ~ c_Relation_Osym(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3)
    | c_in(c_Pair(X2,X1,X3,X3),c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),tc_prod(X3,X3)) ),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192,i_0_771]) ).

cnf(i_0_1597,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1598,plain,
    ( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
    | c_in(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3))
    | ~ c_Relation_Osym(X4,X3) ),
    inference(rename_variables,[],[i_0_771]) ).

cnf(i_0_1599,plain,
    ( ~ c_Relation_Osym(c_Set_Oinsert(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_Arrow__Order__Mirabelle_Oalt)
    | c_Pair(X2,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_1553,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192,i_0_771,i_0_969]) ).

cnf(i_0_1600,plain,
    ( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
    | c_in(X1,X3,X4)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_969]) ).

cnf(i_0_1601,plain,
    ( ~ c_in(X1,c_Relation_ODomain(c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(X2,X3),tc_bool)),X4),X4,X4),tc_prod(X2,X3))
    | ~ c_Relation_Osym(c_Set_Oinsert(c_Pair(X5,X6,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X7,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_Arrow__Order__Mirabelle_Oalt) ),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_1529,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_1553,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192,i_0_771,i_0_969,i_0_919]) ).

cnf(i_0_1602,plain,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(rename_variables,[],[i_0_1098]) ).

cnf(i_0_1603,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_in(X1,X4,X3) ),
    inference(rename_variables,[],[i_0_919]) ).

cnf(i_0_1604,plain,
    ( ~ c_Relation_Osym(c_Set_Oinsert(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_Relation_Oantisym(c_Set_Oinsert(c_Pair(v_b,v_a,X4,X4),c_Set_Oinsert(c_Pair(v_b,v_a,X4,X4),c_Set_Oinsert(c_Pair(v_a,v_b,X4,X4),X5,tc_prod(X4,X4)),tc_prod(X4,X4)),tc_prod(X4,X4)),X4) ),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_1529,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_1553,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192,i_0_771,i_0_969,i_0_919,i_0_1201]) ).

cnf(i_0_1605,plain,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(rename_variables,[],[i_0_1017]) ).

cnf(i_0_1606,plain,
    ( ~ c_Relation_Osym(c_Set_Oinsert(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ c_in(X4,c_Wellfounded_Oacc(c_Transitive__Closure_Ortrancl(X5,t_a),t_a),t_a) ),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1582,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_1529,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_1553,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_1581,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192,i_0_771,i_0_969,i_0_919,i_0_1201,i_0_802]) ).

cnf(i_0_1607,plain,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
    inference(rename_variables,[],[i_0_1020]) ).

cnf(i_0_1608,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1609,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(c_Pair(X3,v_sko__Wellfounded__Xacc__Xinducts__1(X1,X4),t_a,t_a),X4,tc_prod(t_a,t_a))
    | c_in(X3,c_Wellfounded_Oacc(X4,t_a),t_a)
    | ~ c_in(X2,c_Wellfounded_Oacc(X4,t_a),t_a) ),
    inference(rename_variables,[],[i_0_802]) ).

cnf(i_0_1610,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1611,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1612,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1613,plain,
    ~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
    inference(rename_variables,[],[i_0_1054]) ).

cnf(i_0_1614,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1615,plain,
    c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
    inference(rename_variables,[],[i_0_871]) ).

cnf(i_0_1616,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
    inference(rename_variables,[],[i_0_1058]) ).

cnf(i_0_1617,plain,
    ( ~ c_Relation_Osym(c_Set_Oinsert(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X1,v_a),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),tc_Arrow__Order__Mirabelle_Oalt)
    | c_in(X2,c_Wellfounded_Oacc(c_Set_Oinsert(c_Pair(X2,X3,X4,X4),X5,tc_prod(X4,X4)),X4),X4)
    | ~ c_in(X3,c_Wellfounded_Oacc(c_Set_Oinsert(c_Pair(X2,X3,X4,X4),X5,tc_prod(X4,X4)),X4),X4)
    | ~ c_in(c_Pair(X6,X7,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X8,X9),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X8,X9),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    inference(scs_inference,[],[i_0_625,i_0_1058,i_0_1275,i_0_1278,i_0_1281,i_0_1297,i_0_1339,i_0_1412,i_0_1420,i_0_1423,i_0_1426,i_0_1429,i_0_1444,i_0_1479,i_0_1560,i_0_1597,i_0_1612,i_0_1614,i_0_1083,i_0_871,i_0_1333,i_0_1336,i_0_1384,i_0_1387,i_0_1567,i_0_1572,i_0_1577,i_0_1582,i_0_1608,i_0_1610,i_0_1611,i_0_1036,i_0_1290,i_0_1347,i_0_1359,i_0_1362,i_0_1417,i_0_1461,i_0_1468,i_0_1460,i_0_1098,i_0_1320,i_0_1390,i_0_1394,i_0_1398,i_0_1453,i_0_1457,i_0_1529,i_0_839,i_0_1269,i_0_1284,i_0_1305,i_0_1308,i_0_1314,i_0_1344,i_0_1406,i_0_1409,i_0_1478,i_0_1550,i_0_1553,i_0_840,i_0_1302,i_0_1325,i_0_1443,i_0_1054,i_0_1272,i_0_1287,i_0_1311,i_0_1328,i_0_1391,i_0_1395,i_0_1399,i_0_1403,i_0_1013,i_0_1350,i_0_1353,i_0_1381,i_0_1402,i_0_1440,i_0_1492,i_0_1532,i_0_1075,i_0_1134,i_0_798,i_0_1017,i_0_1093,i_0_1447,i_0_1449,i_0_1451,i_0_1496,i_0_1499,i_0_1501,i_0_1508,i_0_1510,i_0_1514,i_0_1516,i_0_1521,i_0_1523,i_0_1525,i_0_1527,i_0_1546,i_0_1077,i_0_1356,i_0_1367,i_0_779,i_0_1115,i_0_1125,i_0_1126,i_0_1127,i_0_1128,i_0_1129,i_0_1130,i_0_1131,i_0_1132,i_0_1133,i_0_1103,i_0_1047,i_0_1000,i_0_1020,i_0_1482,i_0_1485,i_0_1566,i_0_1571,i_0_1576,i_0_1581,i_0_822,i_0_607,i_0_668,i_0_709,i_0_763,i_0_821,i_0_845,i_0_846,i_0_940,i_0_957,i_0_958,i_0_1007,i_0_1087,i_0_608,i_0_610,i_0_633,i_0_634,i_0_701,i_0_705,i_0_713,i_0_716,i_0_729,i_0_730,i_0_805,i_0_818,i_0_830,i_0_836,i_0_854,i_0_872,i_0_892,i_0_905,i_0_906,i_0_928,i_0_947,i_0_948,i_0_1010,i_0_1022,i_0_1080,i_0_1092,i_0_1106,i_0_1136,i_0_1073,i_0_1124,i_0_627,i_0_643,i_0_696,i_0_714,i_0_715,i_0_758,i_0_759,i_0_772,i_0_773,i_0_811,i_0_815,i_0_819,i_0_823,i_0_824,i_0_825,i_0_826,i_0_847,i_0_848,i_0_916,i_0_917,i_0_990,i_0_1254,i_0_1196,i_0_1197,i_0_1198,i_0_612,i_0_632,i_0_638,i_0_718,i_0_728,i_0_787,i_0_800,i_0_801,i_0_832,i_0_859,i_0_938,i_0_939,i_0_966,i_0_968,i_0_999,i_0_1137,i_0_1205,i_0_1209,i_0_1210,i_0_1211,i_0_1212,i_0_1213,i_0_1214,i_0_1215,i_0_1216,i_0_1217,i_0_1218,i_0_1219,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1237,i_0_1238,i_0_1239,i_0_1249,i_0_834,i_0_1002,i_0_1003,i_0_1031,i_0_1060,i_0_1240,i_0_1241,i_0_1247,i_0_1248,i_0_735,i_0_736,i_0_754,i_0_792,i_0_727,i_0_781,i_0_783,i_0_784,i_0_809,i_0_810,i_0_747,i_0_733,i_0_669,i_0_931,i_0_1107,i_0_1192,i_0_771,i_0_969,i_0_919,i_0_1201,i_0_802,i_0_855,i_0_615,i_0_620,i_0_621,i_0_646,i_0_738,i_0_764,i_0_768,i_0_808,i_0_814]) ).

cnf(i_0_1618,plain,
    $false,
    inference(scs_inference,[],[i_0_1431,i_0_1435,i_0_822]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SCT028-1 : 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
% 0.15/0.32  % Computer : n016.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 01:54:21 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 0.82/1.67  % Version  : CSE_E---1.7
% 0.82/1.67  % Problem  : theBenchmark.p
% 0.82/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 0.82/1.67  % SZS output start CNFRefutation
% See solution above
% 4.48/5.36  % Total time : 1.327s
%------------------------------------------------------------------------------