%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SCT075-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 05:05:57 PM UTC 2026
% Result : Unsatisfiable 0.97s 1.66s
% Output : CNFRefutation 4.93s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_547)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Field__def_0,axiom,
c_Relation_OField(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ORange(X1,X2,X2),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Field__def_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/sandbox/benchmark/theBenchmark.p',cls_Range__def_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_trancl__converseD_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/sandbox/benchmark/theBenchmark.p',cls_trancl__subset__Field2_0) ).
cnf(cls_converse__tranclE_1,axiom,
( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4))
| c_in(c_Pair(X2,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/sandbox/benchmark/theBenchmark.p',cls_converse__tranclE_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Transitive__Closure_Otrancl__into__trancl_0) ).
cnf(cls_trancl__unfold_0,axiom,
c_Transitive__Closure_Otrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X1,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__unfold_0) ).
cnf(cls_converse__tranclE_0,axiom,
( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
| c_in(c_Pair(X1,X3,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/sandbox/benchmark/theBenchmark.p',cls_converse__tranclE_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_tranclD_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_trancl__into__rtrancl_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/sandbox/benchmark/theBenchmark.p',cls_trancl__range_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_r__r__into__trancl_0) ).
cnf(cls_Field__Un_0,axiom,
c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(X1,X3),c_Relation_OField(X2,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Field__Un_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_trancl_Or__into__trancl_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_r__into__trancl_H_0) ).
cnf(cls_reflcl__trancl_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)) = c_Transitive__Closure_Ortrancl(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_reflcl__trancl_0) ).
cnf(cls_Nitpick_Ortrancl__def_0,axiom,
c_Transitive__Closure_Ortrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nitpick_Ortrancl__def_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/sandbox/benchmark/theBenchmark.p',cls_trancl__domain_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/sandbox/benchmark/theBenchmark.p',cls_wf__trancl_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/sandbox/benchmark/theBenchmark.p',cls_sym__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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_trancl__unfold__right_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/sandbox/benchmark/theBenchmark.p',cls_mono__Field_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Range__iff_0) ).
cnf(cls_trancl__reflcl_0,axiom,
c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trancl__reflcl_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__below_11) ).
cnf(cls_Field__converse_0,axiom,
c_Relation_OField(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_OField(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Field__converse_0) ).
cnf(cls_Range__Un__eq_0,axiom,
c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(X1,X3,X4),c_Relation_ORange(X2,X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Range__Un__eq_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_quotient__eq__iff_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__mktop_4) ).
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/sandbox/benchmark/theBenchmark.p',cls_Range__converse_0) ).
cnf(cls_Range__Id__on_0,axiom,
c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2) = X1,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_cuts__eq_2) ).
cnf(cls_wf__union__merge_1,axiom,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X3,X3,X3),c_Relation_Orel__comp(X2,X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__union__merge_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_cuts__eq_1) ).
cnf(cls_wf__union__merge_0,axiom,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X2,X2,X2),c_Relation_Orel__comp(X3,X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__union__merge_0) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Pi__I_H_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_O__assoc_0) ).
cnf(cls_rel__comp__distrib2_0,axiom,
c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X5,X3,X4,X6) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X5,X3,X4,X6),c_Relation_Orel__comp(X2,X5,X3,X4,X6),tc_fun(tc_prod(X3,X6),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__comp__distrib2_0) ).
cnf(cls_rel__comp__distrib_0,axiom,
c_Relation_Orel__comp(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X5),tc_bool)),X6,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X6,X4,X5),c_Relation_Orel__comp(X1,X3,X6,X4,X5),tc_fun(tc_prod(X6,X5),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rel__comp__distrib_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Image__iff_1) ).
cnf(cls_insert__times__insert_0,axiom,
c_Product__Type_OSigma(c_Set_Oinsert(X1,X2,X3),c_COMBK(c_Set_Oinsert(X4,X5,X6),tc_fun(X6,tc_bool),X3),X3,X6) = c_Set_Oinsert(c_Pair(X1,X4,X3,X6),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X2,c_COMBK(c_Set_Oinsert(X4,X5,X6),tc_fun(X6,tc_bool),X3),X3,X6),c_Product__Type_OSigma(c_Set_Oinsert(X1,X2,X3),c_COMBK(X5,tc_fun(X6,tc_bool),X3),X3,X6),tc_fun(tc_prod(X3,X6),tc_bool)),tc_prod(X3,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__times__insert_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_rel__comp__mono_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/sandbox/benchmark/theBenchmark.p',cls_rtrancl__Int__subset_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_cuts__eq_0) ).
cnf(cls_wf__union__compatible_0,axiom,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X3,X3),X1,tc_fun(tc_prod(X3,X3),tc_bool))
| ~ c_Wellfounded_Owf(X2,X3)
| ~ c_Wellfounded_Owf(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wf__union__compatible_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_wf__comp__self_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Pi__I_H_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/sandbox/benchmark/theBenchmark.p',cls_Image__Int__subset_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/sandbox/benchmark/theBenchmark.p',cls_image__Int__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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__below_13) ).
cnf(cls_rtrancl__unfold_0,axiom,
c_Transitive__Closure_Ortrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X2),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__unfold_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Times__Int__distrib1_0) ).
cnf(cls_Times__Un__distrib1_0,axiom,
c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5) = c_Lattices_Oupper__semilattice__class_Osup(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/sandbox/benchmark/theBenchmark.p',cls_Times__Un__distrib1_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/sandbox/benchmark/theBenchmark.p',cls_comp__equivI_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/sandbox/benchmark/theBenchmark.p',cls_in__inv__image_1) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_wfI_3) ).
cnf(cls_Un__Int__crazy_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Times__subset__cancel2_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_rtrancl__converseD_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/sandbox/benchmark/theBenchmark.p',cls_wf__insert_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__above_9) ).
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/sandbox/benchmark/theBenchmark.p',cls_SigmaD1_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_refl__on__def_2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_converseI_0) ).
cnf(cls_Un__Image_0,axiom,
c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X5,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X5,X3,X4),c_Relation_OImage(X2,X5,X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Image_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Sigma__Int__distrib1_0) ).
cnf(cls_Sigma__Un__distrib1_0,axiom,
c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,X5) = c_Lattices_Oupper__semilattice__class_Osup(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/sandbox/benchmark/theBenchmark.p',cls_Sigma__Un__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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__mktop_3) ).
cnf(cls_Image__Un_0,axiom,
c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Un_0) ).
cnf(cls_image__Un_0,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Un_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Times__eq__cancel2_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__below_0) ).
cnf(cls_Id__O__R_0,axiom,
c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_R__O__Id_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_acc_Oinduct_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Domain__iff_1) ).
cnf(cls_that_0,axiom,
( v_thesis____
| ~ 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_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_refl__onD2_0) ).
cnf(cls_rtrancl__Un__subset_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__Un__subset_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Id__on__subset__Times_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__mktop_0) ).
cnf(cls_distrib__inf__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
cnf(cls_distrib__sup__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__sup__le_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/sandbox/benchmark/theBenchmark.p',cls_pair__in__Id__conv_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_quotientE_1) ).
cnf(cls_Un__Int__assoc__eq_0,axiom,
( c_lessequals(X4,X1,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
cnf(cls_in__rtrancl__UnI_0,axiom,
( c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))
| ~ c_in(X1,c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_0) ).
cnf(cls_in__rtrancl__UnI_1,axiom,
( c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))
| ~ c_in(X1,c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__rtrancl__UnI_1) ).
cnf(cls_Pair__eq_0,axiom,
( X1 = X5
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_converse__Int_0) ).
cnf(cls_converse__Un_0,axiom,
c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X1,X3,X4),c_Relation_Oconverse(X2,X3,X4),tc_fun(tc_prod(X4,X3),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__Un_0) ).
cnf(cls_rtrancl__Un__rtrancl_0,axiom,
c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__Un__rtrancl_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/sandbox/benchmark/theBenchmark.p',cls_refl__on__Int_0) ).
cnf(cls_refl__on__Un_0,axiom,
( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(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/sandbox/benchmark/theBenchmark.p',cls_refl__on__Un_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).
cnf(cls_Un__mono_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(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/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_Int__Un__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
cnf(cls_Un__Int__distrib2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(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(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_Int__Un__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(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(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib_0) ).
cnf(cls_Domain__Un__eq_0,axiom,
c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Domain__Un__eq_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Nitpick_Orefl_H__def_0) ).
cnf(cls_complete__Lin_1,axiom,
( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__Lin_1) ).
cnf(cls_sup1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
cnf(cls_IdI_0,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_pair__in__Id__conv_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf1E_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_acc__induct_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_wf__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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_finite__imageI_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_trans__inv__image_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Domain__mono_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_sym__Int__converse_0) ).
cnf(cls_sym__Un__converse_0,axiom,
c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Un__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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_rtrancl__subset_0) ).
cnf(cls_Un__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__least_0) ).
cnf(cls_Un__subset__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__assoc_0) ).
cnf(cls_Un__assoc_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__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/sandbox/benchmark/theBenchmark.p',cls_Int__left__commute_0) ).
cnf(cls_Un__left__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_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/sandbox/benchmark/theBenchmark.p',cls_converse__in__Lin_0) ).
cnf(cls_Un__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
cnf(cls_Un__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_IdE_0) ).
cnf(cls_inf__sup__distrib2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
cnf(cls_sup__inf__distrib2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
cnf(cls_inf__sup__distrib1_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
cnf(cls_sup__inf__distrib1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
cnf(cls_UnE_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_rtrancl__subset__rtrancl_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_subset__insert_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/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_Un__insert__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_Un__insert__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_rtrancl__mono_0) ).
cnf(cls_UnionE_1,axiom,
( c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X1,X2,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnionE_1) ).
cnf(cls_sup1CI_1,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__iff_2) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__subset_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_subset__insert_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/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_UnionE_0,axiom,
( c_in(X1,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnionE_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_le__sup__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_sup__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__supI_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__greatest_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_acc__subset_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/sandbox/benchmark/theBenchmark.p',cls_inf__assoc_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_sup__assoc_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_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/sandbox/benchmark/theBenchmark.p',cls_inf__left__commute_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_sup__left__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__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/sandbox/benchmark/theBenchmark.p',cls_Id__onE_0) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_sym__Int_0) ).
cnf(cls_sym__Un_0,axiom,
( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_Relation_Osym(X2,X3)
| ~ c_Relation_Osym(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Un_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_trans__Int_0) ).
cnf(cls_le__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_le__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
cnf(cls_le__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supE_1) ).
cnf(cls_le__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_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/sandbox/benchmark/theBenchmark.p',cls_le__infE_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_le__infE_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_Un__left__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__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/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_trans__reflclI_0,axiom,
( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)
| ~ c_Relation_Otrans(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__reflclI_0) ).
cnf(cls_rtrancl__reflcl_0,axiom,
c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__reflcl_0) ).
cnf(cls_UnCI_1,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnCI_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__code_2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_acc_Oinduct_2) ).
cnf(cls_finite__Un_0,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_0) ).
cnf(cls_finite__Un_1,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_wfE__min_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__iff_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__infI2_0) ).
cnf(cls_le__supI1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supI2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_Image__Id_0,axiom,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Image__Id_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__funD_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/sandbox/benchmark/theBenchmark.p',cls_wf__subset_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_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/sandbox/benchmark/theBenchmark.p',cls_r__into__rtrancl_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_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/sandbox/benchmark/theBenchmark.p',cls_inf__left__idem_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_sup__left__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__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/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_finite__UnI_0,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__UnI_0) ).
cnf(cls_finite__Un_2,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite__Un_2) ).
cnf(cls_Sup__insert_0,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sup__insert_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/sandbox/benchmark/theBenchmark.p',cls_Inf__insert_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/sandbox/benchmark/theBenchmark.p',cls_sym__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/sandbox/benchmark/theBenchmark.p',cls_finite__insert_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/sandbox/benchmark/theBenchmark.p',cls_trans__converse_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/sandbox/benchmark/theBenchmark.p',cls_rtrancl__converse_0) ).
cnf(cls_subset__Un__eq_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
cnf(cls_Un__absorb2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_Un__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_rev__predicate1D_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_rtrancl__reflcl__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)) = c_Transitive__Closure_Ortrancl(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rtrancl__reflcl__absorb_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Sup__upper_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_sup__inf__absorb_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_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/sandbox/benchmark/theBenchmark.p',cls_inf__le1_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_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/sandbox/benchmark/theBenchmark.p',cls_inf__le2_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_converse__converse_0,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_finite__subset_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/sandbox/benchmark/theBenchmark.p',cls_Int__commute_0) ).
cnf(cls_Un__commute_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__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/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
cnf(cls_sup__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_complete__Lin_0,axiom,
( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_complete__Lin_0) ).
cnf(cls_sym__converse_1,axiom,
( c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Relation_Osym(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__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/sandbox/benchmark/theBenchmark.p',cls_finite__insert_1) ).
cnf(cls_trans__converse_1,axiom,
( c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Relation_Otrans(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__converse_1) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_equiv_Orefl__on_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_mem__def_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/sandbox/benchmark/theBenchmark.p',cls_inf__commute_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_sup__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__commute_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/sandbox/benchmark/theBenchmark.p',cls_linear__alt_0) ).
cnf(cls_acc__wfD_0,axiom,
( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
| ~ c_Wellfounded_Owf(X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_sym__conv__converse__eq_1) ).
cnf(cls_equiv_Osym_0,axiom,
( c_Relation_Osym(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv_Osym_0) ).
cnf(cls_equiv_Otrans_0,axiom,
( c_Relation_Otrans(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equiv_Otrans_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_converse__Id_0,axiom,
c_Relation_Oconverse(c_Relation_OId(X1),X1,X1) = c_Relation_OId(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_converse__Id_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inf__idem_0) ).
cnf(cls_sup__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X1,X1,X2),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).
cnf(cls_sym__Id__on_0,axiom,
c_Relation_Osym(c_Relation_OId__on(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Id__on_0) ).
cnf(cls_trans__Id__on_0,axiom,
c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__Id__on_0) ).
cnf(cls_trans__rtrancl_0,axiom,
c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__rtrancl_0) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
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/sandbox/benchmark/theBenchmark.p',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(cls_finite_0,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_finite_0) ).
cnf(cls_sym__Id_0,axiom,
c_Relation_Osym(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__Id_0) ).
cnf(cls_trans__Id_0,axiom,
c_Relation_Otrans(c_Relation_OId(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_trans__Id_0) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Finite__Set_Ofinite_Ofinite) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Complete__Lattice_Ocomplete__lattice) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(i_0_546,axiom,
c_Relation_OField(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ORange(X1,X2,X2),tc_fun(X2,tc_bool)),
cls_Field__def_0 ).
cnf(i_0_547,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_548,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_549,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_550,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_551,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_552,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_553,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_554,plain,
c_Relation_OField(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),tc_fun(X2,tc_bool)),
inference(rw,[status(thm)],[i_0_546,c_0_547]) ).
cnf(i_0_555,axiom,
( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Transitive__Closure_Otrancl(X1,X4),tc_prod(X4,X4))
| c_in(c_Pair(X2,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_converse__tranclE_1 ).
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),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_557,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_558,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_559,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_560,axiom,
c_Transitive__Closure_Otrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(X1,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
cls_trancl__unfold_0 ).
cnf(i_0_561,axiom,
( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X2,X1,X3,X4),X4,X4),X2,tc_prod(X4,X4))
| c_in(c_Pair(X1,X3,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_converse__tranclE_0 ).
cnf(i_0_562,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_563,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_564,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_565,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_566,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_567,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_568,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_569,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_570,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_571,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_572,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_573,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_574,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_575,axiom,
c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(X1,X3),c_Relation_OField(X2,X3),tc_fun(X3,tc_bool)),
cls_Field__Un_0 ).
cnf(i_0_576,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_577,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_578,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_579,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_580,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_581,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_582,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_583,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_584,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)) = c_Transitive__Closure_Ortrancl(X1,X2),
cls_reflcl__trancl_0 ).
cnf(i_0_585,axiom,
c_Transitive__Closure_Ortrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),
cls_Nitpick_Ortrancl__def_0 ).
cnf(i_0_586,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_587,axiom,
( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(X1,X2),X2)
| ~ c_Wellfounded_Owf(X1,X2) ),
cls_wf__trancl_0 ).
cnf(i_0_588,axiom,
( c_Relation_Osym(c_Transitive__Closure_Otrancl(X1,X2),X2)
| ~ c_Relation_Osym(X1,X2) ),
cls_sym__trancl_0 ).
cnf(i_0_589,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_590,axiom,
c_Relation_Otrans(c_Transitive__Closure_Otrancl(X1,X2),X2),
cls_trans__trancl_0 ).
cnf(i_0_591,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_592,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 ).
cnf(i_0_593,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_594,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_595,axiom,
c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
cls_trancl__reflcl_0 ).
cnf(i_0_596,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_597,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_598,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_599,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_600,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_601,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_602,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_603,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_604,axiom,
c_Relation_OField(c_Relation_Oconverse(X1,X2,X2),X2) = c_Relation_OField(X1,X2),
cls_Field__converse_0 ).
cnf(i_0_605,axiom,
c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(X1,X3,X4),c_Relation_ORange(X2,X3,X4),tc_fun(X4,tc_bool)),
cls_Range__Un__eq_0 ).
cnf(i_0_606,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_607,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_608,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_609,axiom,
( c_Transitive__Closure_Otrancl(X1,X2) = X1
| ~ c_Relation_Otrans(X1,X2) ),
cls_trancl__id_0 ).
cnf(i_0_610,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_611,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_612,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_613,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_614,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_615,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_616,axiom,
c_Relation_ORange(c_Relation_OId__on(X1,X2),X2,X2) = X1,
cls_Range__Id__on_0 ).
cnf(i_0_617,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_618,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_619,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_620,axiom,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X3,X3,X3),c_Relation_Orel__comp(X2,X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3) ),
cls_wf__union__merge_1,
[final] ).
cnf(i_0_621,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_622,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_548,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_623,axiom,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X2,X2,X2),c_Relation_Orel__comp(X3,X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2) ),
cls_wf__union__merge_0,
[final] ).
cnf(i_0_624,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_625,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_626,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_627,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_550,c_0_549]),c_0_549]),c_0_549]),
[final] ).
cnf(i_0_628,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_551,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_629,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_552,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_630,plain,
c_lessequals(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),tc_fun(X2,tc_bool)),c_COMBK(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool),X2),X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_553,c_0_549]),c_0_554]),c_0_554]),
[final] ).
cnf(i_0_631,plain,
( c_in(c_Pair(X2,X3,X4,X4),X1,tc_prod(X4,X4))
| c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(X1,X2,X3,X4),X3,X4,X4),c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X4),X4,X4,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)],[inference(rw,[status(thm)],[i_0_555,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_632,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_556,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_633,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_557,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_634,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_558,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_635,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_559,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_636,plain,
c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Orel__comp(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_560,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_637,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_638,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_639,plain,
( c_in(c_Pair(X1,X3,X4,X4),X2,tc_prod(X4,X4))
| c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__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_561,c_0_549]),
[final] ).
cnf(i_0_640,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_562,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_641,axiom,
c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X5,X3,X4,X6) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X5,X3,X4,X6),c_Relation_Orel__comp(X2,X5,X3,X4,X6),tc_fun(tc_prod(X3,X6),tc_bool)),
cls_rel__comp__distrib2_0,
[final] ).
cnf(i_0_642,axiom,
c_Relation_Orel__comp(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X5),tc_bool)),X6,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X2,X6,X4,X5),c_Relation_Orel__comp(X1,X3,X6,X4,X5),tc_fun(tc_prod(X6,X5),tc_bool)),
cls_rel__comp__distrib_0,
[final] ).
cnf(i_0_643,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_563,c_0_549]),
[final] ).
cnf(i_0_644,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_564,c_0_549]),
[final] ).
cnf(i_0_645,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_565,c_0_549]),
[final] ).
cnf(i_0_646,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_566,c_0_549]),
[final] ).
cnf(i_0_647,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_648,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_649,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_650,axiom,
c_Product__Type_OSigma(c_Set_Oinsert(X1,X2,X3),c_COMBK(c_Set_Oinsert(X4,X5,X6),tc_fun(X6,tc_bool),X3),X3,X6) = c_Set_Oinsert(c_Pair(X1,X4,X3,X6),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(X2,c_COMBK(c_Set_Oinsert(X4,X5,X6),tc_fun(X6,tc_bool),X3),X3,X6),c_Product__Type_OSigma(c_Set_Oinsert(X1,X2,X3),c_COMBK(X5,tc_fun(X6,tc_bool),X3),X3,X6),tc_fun(tc_prod(X3,X6),tc_bool)),tc_prod(X3,X6)),
cls_insert__times__insert_0,
[final] ).
cnf(i_0_651,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_567,c_0_549]),
[final] ).
cnf(i_0_652,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_568,c_0_549]),
[final] ).
cnf(i_0_653,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_654,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,
[final] ).
cnf(i_0_655,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_569,c_0_549]),c_0_547]),c_0_547]),
[final] ).
cnf(i_0_656,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_570,c_0_549]),
[final] ).
cnf(i_0_657,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_571,c_0_549]),
[final] ).
cnf(i_0_658,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_572,c_0_549]),
[final] ).
cnf(i_0_659,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_573,c_0_549]),
[final] ).
cnf(i_0_660,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_574,c_0_549]),
[final] ).
cnf(i_0_661,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_662,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_663,axiom,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_lessequals(c_Relation_Orel__comp(X1,X2,X3,X3,X3),X1,tc_fun(tc_prod(X3,X3),tc_bool))
| ~ c_Wellfounded_Owf(X2,X3)
| ~ c_Wellfounded_Owf(X1,X3) ),
cls_wf__union__compatible_0,
[final] ).
cnf(i_0_664,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3,X3),c_Relation_ODomain(c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3,X3),X3,X3),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X1,X3,X3),X3,X3),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X2,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X3),X3,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_575,c_0_554]),c_0_554]),c_0_554]),
[final] ).
cnf(i_0_665,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_576,c_0_549]),c_0_549]),
[final] ).
cnf(i_0_666,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_577,c_0_549]),
[final] ).
cnf(i_0_667,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_578,c_0_549]),
[final] ).
cnf(i_0_668,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_579,c_0_549]),
[final] ).
cnf(i_0_669,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_580,c_0_549]),
[final] ).
cnf(i_0_670,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_671,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_672,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_673,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_674,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_675,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_676,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_677,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_678,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_679,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_680,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_681,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_682,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_683,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_684,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_685,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_686,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_687,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_581,c_0_547]),c_0_547]),c_0_547]),
[final] ).
cnf(i_0_688,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_689,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_582,c_0_547]),c_0_547]),
[final] ).
cnf(i_0_690,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_691,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_692,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_583,c_0_549]),
[final] ).
cnf(i_0_693,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_694,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_695,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_696,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_697,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_698,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_699,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(rw,[status(thm)],[i_0_584,c_0_549]),
[final] ).
cnf(i_0_700,plain,
c_Transitive__Closure_Ortrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),
inference(rw,[status(thm)],[i_0_585,c_0_549]),
[final] ).
cnf(i_0_701,axiom,
c_Transitive__Closure_Ortrancl(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X2),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),
cls_rtrancl__unfold_0,
[final] ).
cnf(i_0_702,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_586,c_0_549]),
[final] ).
cnf(i_0_703,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_704,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_587,c_0_549]),
[final] ).
cnf(i_0_705,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_588,c_0_549]),
[final] ).
cnf(i_0_706,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_589,c_0_549]),
[final] ).
cnf(i_0_707,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_708,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_590,c_0_549]),
[final] ).
cnf(i_0_709,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_710,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_591,c_0_549]),
[final] ).
cnf(i_0_711,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_712,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_713,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_714,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_715,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_716,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_717,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_718,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X3,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X3,X2,X2),X2,X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_592,c_0_554]),c_0_554]),
[final] ).
cnf(i_0_719,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_720,axiom,
c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_COMBK(X4,tc_fun(X5,tc_bool),X3),X3,X5) = c_Lattices_Oupper__semilattice__class_Osup(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__Un__distrib1_0,
[final] ).
cnf(i_0_721,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_722,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_593,c_0_547]),
[final] ).
cnf(i_0_723,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_594,c_0_547]),
[final] ).
cnf(i_0_724,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_725,plain,
c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),X2,X2,X2) = c_Transitive__Closure_Ortrancl(X1,X2),
inference(rw,[status(thm)],[i_0_595,c_0_549]),
[final] ).
cnf(i_0_726,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_727,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_728,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_729,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Int__crazy_0,
[final] ).
cnf(i_0_730,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_731,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_732,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_733,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_734,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_735,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_736,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_737,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_738,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_739,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_740,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_741,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_742,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_743,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_744,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_745,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_746,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_747,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_748,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_749,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_750,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_751,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_752,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_596]),
[final] ).
cnf(i_0_753,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_597]),
[final] ).
cnf(i_0_754,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_598]),
[final] ).
cnf(i_0_755,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_599]),
[final] ).
cnf(i_0_756,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_600,
[final] ).
cnf(i_0_757,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_758,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_759,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_601]),
[final] ).
cnf(i_0_760,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_602,
[final] ).
cnf(i_0_761,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_603,
[final] ).
cnf(i_0_762,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_763,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_764,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_765,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),c_Relation_ODomain(c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X2),X2,X2),X2,X2),tc_fun(X2,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),tc_fun(X2,tc_bool)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_604,c_0_554]),c_0_554]),
[final] ).
cnf(i_0_766,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_767,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_768,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_769,axiom,
c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X5,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X5,X3,X4),c_Relation_OImage(X2,X5,X3,X4),tc_fun(X4,tc_bool)),
cls_Un__Image_0,
[final] ).
cnf(i_0_770,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_771,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_772,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_773,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_774,axiom,
c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,X3,X5) = c_Lattices_Oupper__semilattice__class_Osup(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__Un__distrib1_0,
[final] ).
cnf(i_0_775,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_776,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_777,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_778,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_779,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_780,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_781,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_782,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_783,axiom,
c_Relation_OImage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(X1,X2,X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
cls_Image__Un_0,
[final] ).
cnf(i_0_784,axiom,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
cls_image__Un_0,
[final] ).
cnf(i_0_785,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_786,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_787,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_788,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_789,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_790,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_791,plain,
c_Relation_ODomain(c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(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)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_605,c_0_547]),c_0_547]),c_0_547]),
[final] ).
cnf(i_0_792,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_793,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_794,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_795,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_606,c_0_549]),
[final] ).
cnf(i_0_796,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_797,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_798,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_799,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_800,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_607,c_0_547]),
[final] ).
cnf(i_0_801,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_608,c_0_547]),
[final] ).
cnf(i_0_802,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_803,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_609,c_0_549]),
[final] ).
cnf(i_0_804,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_805,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_806,axiom,
c_Relation_Orel__comp(c_Relation_OId(X1),X2,X1,X1,X3) = X2,
cls_Id__O__R_0,
[final] ).
cnf(i_0_807,axiom,
c_Relation_Orel__comp(X1,c_Relation_OId(X2),X3,X2,X2) = X1,
cls_R__O__Id_0,
[final] ).
cnf(i_0_808,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_809,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_810,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_811,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_812,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_813,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_814,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_815,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_816,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_610]),
[final] ).
cnf(i_0_817,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_818,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_819,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_820,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_821,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_822,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_823,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_824,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_825,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_826,axiom,
( v_thesis____
| ~ 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_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
cls_that_0,
[final] ).
cnf(i_0_827,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_828,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_829,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_830,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_831,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(tc_prod(X2,X2),tc_bool)),
cls_rtrancl__Un__subset_0,
[final] ).
cnf(i_0_832,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_833,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_834,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_835,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_836,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_837,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_838,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_839,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_840,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_841,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_842,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_843,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_844,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__inf__le_0,
[final] ).
cnf(i_0_845,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__sup__le_0,
[final] ).
cnf(i_0_846,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,
[final] ).
cnf(i_0_847,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_848,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_849,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_850,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_851,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_611,
[final] ).
cnf(i_0_852,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_612]),
[final] ).
cnf(i_0_853,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_854,axiom,
( c_lessequals(X4,X1,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Un__Int__assoc__eq_0,
[final] ).
cnf(i_0_855,axiom,
( c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))
| ~ c_in(X1,c_Transitive__Closure_Ortrancl(X2,X4),tc_prod(X4,X4)) ),
cls_in__rtrancl__UnI_0,
[final] ).
cnf(i_0_856,axiom,
( c_in(X1,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_prod(X4,X4),tc_bool)),X4),tc_prod(X4,X4))
| ~ c_in(X1,c_Transitive__Closure_Ortrancl(X3,X4),tc_prod(X4,X4)) ),
cls_in__rtrancl__UnI_1,
[final] ).
cnf(i_0_857,axiom,
( X1 = X5
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
cls_Pair__eq_0,
[final] ).
cnf(i_0_858,axiom,
( X2 = X6
| c_Pair(X1,X2,X3,X4) != c_Pair(X5,X6,X3,X4) ),
cls_Pair__eq_1,
[final] ).
cnf(i_0_859,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_860,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_861,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_862,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_863,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_864,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_865,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_866,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_867,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_868,axiom,
c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(X1,X3,X4),c_Relation_Oconverse(X2,X3,X4),tc_fun(tc_prod(X4,X3),tc_bool)),
cls_converse__Un_0,
[final] ).
cnf(i_0_869,axiom,
c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_prod(X2,X2),tc_bool)),X2),
cls_rtrancl__Un__rtrancl_0,
[final] ).
cnf(i_0_870,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_871,axiom,
( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(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__Un_0,
[final] ).
cnf(i_0_872,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_873,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_874,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(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_Un__mono_0,
[final] ).
cnf(i_0_875,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__Un__distrib2_0,
[final] ).
cnf(i_0_876,axiom,
c_Lattices_Oupper__semilattice__class_Osup(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(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Int__distrib2_0,
[final] ).
cnf(i_0_877,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Int__Un__distrib_0,
[final] ).
cnf(i_0_878,axiom,
c_Lattices_Oupper__semilattice__class_Osup(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(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Un__Int__distrib_0,
[final] ).
cnf(i_0_879,axiom,
c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)),
cls_Domain__Un__eq_0,
[final] ).
cnf(i_0_880,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_881,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_882,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_883,axiom,
( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X1 = X2 ),
cls_complete__Lin_1,
[final] ).
cnf(i_0_884,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_613]),
[final] ).
cnf(i_0_885,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_614,
[final] ).
cnf(i_0_886,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
cls_sup1E_0,
[final] ).
cnf(i_0_887,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(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_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X1,tc_fun(X3,tc_bool)) ),
cls_Un__Int__assoc__eq_1,
[final] ).
cnf(i_0_888,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
cls_IdI_0,
[final] ).
cnf(i_0_889,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
cls_pair__in__Id__conv_1,
[final] ).
cnf(i_0_890,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_891,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_892,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_893,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_894,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_895,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_896,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_897,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_898,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_899,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_900,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_901,axiom,
c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
cls_sym__Un__converse_0,
[final] ).
cnf(i_0_902,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_903,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_904,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_905,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__least_0,
[final] ).
cnf(i_0_906,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_2,
[final] ).
cnf(i_0_907,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_908,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_909,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_910,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__assoc_0,
[final] ).
cnf(i_0_911,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_912,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Un__left__commute_0,
[final] ).
cnf(i_0_913,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_914,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_0,
[final] ).
cnf(i_0_915,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_1,
[final] ).
cnf(i_0_916,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_917,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_918,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,
[final] ).
cnf(i_0_919,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib2_0,
[final] ).
cnf(i_0_920,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib2_0,
[final] ).
cnf(i_0_921,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib1_0,
[final] ).
cnf(i_0_922,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib1_0,
[final] ).
cnf(i_0_923,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_UnE_0,
[final] ).
cnf(i_0_924,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_925,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_615,c_0_547]),
[final] ).
cnf(i_0_926,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_927,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_928,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_929,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_930,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_931,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_932,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_933,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_934,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_935,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
cls_Un__insert__left_0,
[final] ).
cnf(i_0_936,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
cls_Un__insert__right_0,
[final] ).
cnf(i_0_937,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_938,axiom,
( c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X1,X2,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3) ),
cls_UnionE_1,
[final] ).
cnf(i_0_939,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_sup1CI_1,
[final] ).
cnf(i_0_940,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_sup1CI_0,
[final] ).
cnf(i_0_941,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_942,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_943,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_944,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_945,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_946,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_947,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_948,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_949,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_950,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_951,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_952,axiom,
( c_in(X1,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(X1,X2,X3),X3)
| ~ c_in(X1,c_Complete__Lattice_OSup__class_OSup(X2,tc_fun(X3,tc_bool)),X3) ),
cls_UnionE_0,
[final] ).
cnf(i_0_953,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_954,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_955,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_956,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_957,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__sup__iff_2,
[final] ).
cnf(i_0_958,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_sup__least_0,
[final] ).
cnf(i_0_959,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI_0,
[final] ).
cnf(i_0_960,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_961,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_962,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_963,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_964,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_965,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_966,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_967,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I6_J_0,
[final] ).
cnf(i_0_968,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__assoc_0,
[final] ).
cnf(i_0_969,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_970,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_971,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I7_J_0,
[final] ).
cnf(i_0_972,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__commute_0,
[final] ).
cnf(i_0_973,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_974,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_975,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_976,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_977,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_978,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_979,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_980,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_981,axiom,
( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_Relation_Osym(X2,X3)
| ~ c_Relation_Osym(X1,X3) ),
cls_sym__Un_0,
[final] ).
cnf(i_0_982,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_983,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__supE_0,
[final] ).
cnf(i_0_984,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__sup__iff_0,
[final] ).
cnf(i_0_985,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__supE_1,
[final] ).
cnf(i_0_986,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__sup__iff_1,
[final] ).
cnf(i_0_987,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_988,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_989,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_990,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_991,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_992,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_993,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_994,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_995,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_996,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__left__absorb_0,
[final] ).
cnf(i_0_997,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_998,axiom,
( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2)
| ~ c_Relation_Otrans(X1,X2) ),
cls_trans__reflclI_0,
[final] ).
cnf(i_0_999,axiom,
c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2) = c_Transitive__Closure_Ortrancl(X1,X2),
cls_rtrancl__reflcl_0,
[final] ).
cnf(i_0_1000,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
cls_UnCI_1,
[final] ).
cnf(i_0_1001,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
cls_UnCI_0,
[final] ).
cnf(i_0_1002,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_1003,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_1004,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_1005,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_1006,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_1007,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_1008,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
cls_finite__Un_0,
[final] ).
cnf(i_0_1009,axiom,
( c_Finite__Set_Ofinite(X1,X2)
| ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)),X2) ),
cls_finite__Un_1,
[final] ).
cnf(i_0_1010,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_1011,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_1012,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_1013,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_1014,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_1015,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_1016,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_1017,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_1018,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_1019,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_1020,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__supI1_0,
[final] ).
cnf(i_0_1021,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI2_0,
[final] ).
cnf(i_0_1022,axiom,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
cls_Image__Id_0,
[final] ).
cnf(i_0_1023,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_1024,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_1025,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insertCI_0,
[final] ).
cnf(i_0_1026,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_1027,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_1028,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_1029,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_1030,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_1031,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_1032,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_1033,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_1034,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_1035,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_1036,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_1037,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_1038,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_1039,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper1_0,
[final] ).
cnf(i_0_1040,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0,
[final] ).
cnf(i_0_1041,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_1042,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_1043,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I8_J_0,
[final] ).
cnf(i_0_1044,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__idem_0,
[final] ).
cnf(i_0_1045,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_1046,plain,
c_Relation_ODomain(c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2),X2,X2) = X1,
inference(rw,[status(thm)],[i_0_616,c_0_547]),
[final] ).
cnf(i_0_1047,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__UnI_0,
[final] ).
cnf(i_0_1048,axiom,
( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_Finite__Set_Ofinite(X2,X3)
| ~ c_Finite__Set_Ofinite(X1,X3) ),
cls_finite__Un_2,
[final] ).
cnf(i_0_1049,axiom,
( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Complete__Lattice_OSup__class_OSup(X3,X1),X1)
| ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
cls_Sup__insert_0,
[final] ).
cnf(i_0_1050,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_1051,axiom,
( c_Relation_Osym(X1,X2)
| ~ c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2) ),
cls_sym__converse_0,
[final] ).
cnf(i_0_1052,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_1053,axiom,
( c_Relation_Otrans(X1,X2)
| ~ c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2) ),
cls_trans__converse_0,
[final] ).
cnf(i_0_1054,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_1055,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
cls_subset__Un__eq_1,
[final] ).
cnf(i_0_1056,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_1057,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_1058,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
cls_Un__absorb2_0,
[final] ).
cnf(i_0_1059,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Un__absorb1_0,
[final] ).
cnf(i_0_1060,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_1061,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_1062,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_1063,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_1064,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_1065,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_1066,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_1067,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_1068,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_1069,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_1070,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(X1,X2),c_Relation_OId(X2),tc_fun(tc_prod(X2,X2),tc_bool)) = c_Transitive__Closure_Ortrancl(X1,X2),
cls_rtrancl__reflcl__absorb_0,
[final] ).
cnf(i_0_1071,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_1072,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_1073,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__absorb_0,
[final] ).
cnf(i_0_1074,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_sup__inf__absorb_0,
[final] ).
cnf(i_0_1075,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_1076,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_1077,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_1078,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_1079,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0,
[final] ).
cnf(i_0_1080,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge1_0,
[final] ).
cnf(i_0_1081,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I4_J_0,
[final] ).
cnf(i_0_1082,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge2_0,
[final] ).
cnf(i_0_1083,axiom,
c_Relation_Oconverse(c_Relation_Oconverse(X1,X2,X3),X3,X2) = X1,
cls_converse__converse_0,
[final] ).
cnf(i_0_1084,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertCI_1,
[final] ).
cnf(i_0_1085,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertI1_0,
[final] ).
cnf(i_0_1086,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1,
[final] ).
cnf(i_0_1087,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_1088,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_1089,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_1090,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
cls_Un__commute_0,
[final] ).
cnf(i_0_1091,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_1092,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
cls_le__iff__sup_1,
[final] ).
cnf(i_0_1093,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_1094,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_1095,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_sup__absorb1_0,
[final] ).
cnf(i_0_1096,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__sup_0,
[final] ).
cnf(i_0_1097,axiom,
( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| X1 = X2 ),
cls_complete__Lin_0,
[final] ).
cnf(i_0_1098,axiom,
( c_Relation_Osym(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Relation_Osym(X1,X2) ),
cls_sym__converse_1,
[final] ).
cnf(i_0_1099,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_1100,axiom,
( c_Relation_Otrans(c_Relation_Oconverse(X1,X2,X2),X2)
| ~ c_Relation_Otrans(X1,X2) ),
cls_trans__converse_1,
[final] ).
cnf(i_0_1101,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_1102,axiom,
( c_Relation_Orefl__on(X1,X2,X3)
| ~ c_Equiv__Relations_Oequiv(X1,X2,X3) ),
cls_equiv_Orefl__on_0,
[final] ).
cnf(i_0_1103,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_1104,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1105,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1106,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_1107,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_1108,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I5_J_0,
[final] ).
cnf(i_0_1109,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__commute_0,
[final] ).
cnf(i_0_1110,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_1111,axiom,
( c_in(X1,c_Wellfounded_Oacc(X2,X3),X3)
| ~ c_Wellfounded_Owf(X2,X3) ),
cls_acc__wfD_0,
[final] ).
cnf(i_0_1112,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1113,axiom,
( c_Relation_Osym(X1,X2)
| c_Relation_Oconverse(X1,X2,X2) != X1 ),
cls_sym__conv__converse__eq_1,
[final] ).
cnf(i_0_1114,axiom,
( c_Relation_Osym(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
cls_equiv_Osym_0,
[final] ).
cnf(i_0_1115,axiom,
( c_Relation_Otrans(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
cls_equiv_Otrans_0,
[final] ).
cnf(i_0_1116,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_1117,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_1118,axiom,
c_Relation_ODomain(c_Relation_OId__on(X1,X2),X2,X2) = X1,
cls_Domain__Id__on_0,
[final] ).
cnf(i_0_1119,axiom,
c_Relation_Orefl__on(X1,c_Relation_OId__on(X1,X2),X2),
cls_refl__on__Id__on_0,
[final] ).
cnf(i_0_1120,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Int__absorb_0,
[final] ).
cnf(i_0_1121,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1122,axiom,
( c_Relation_Oconverse(X1,X2,X2) = X1
| ~ c_Relation_Osym(X1,X2) ),
cls_sym__conv__converse__eq_0,
[final] ).
cnf(i_0_1123,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1124,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1125,axiom,
c_Relation_Oconverse(c_Relation_OId(X1),X1,X1) = c_Relation_OId(X1),
cls_converse__Id_0,
[final] ).
cnf(i_0_1126,axiom,
( c_Relation_Osym(c_Transitive__Closure_Ortrancl(X1,X2),X2)
| ~ c_Relation_Osym(X1,X2) ),
cls_sym__rtrancl_0,
[final] ).
cnf(i_0_1127,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_1128,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1129,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1130,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1131,axiom,
c_fequal(X1,X1,X2),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_1132,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_1133,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_1134,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_1135,axiom,
c_Relation_Osym(c_Relation_OId__on(X1,X2),X2),
cls_sym__Id__on_0,
[final] ).
cnf(i_0_1136,axiom,
c_Relation_Otrans(c_Relation_OId__on(X1,X2),X2),
cls_trans__Id__on_0,
[final] ).
cnf(i_0_1137,axiom,
c_Relation_Otrans(c_Transitive__Closure_Ortrancl(X1,X2),X2),
cls_trans__rtrancl_0,
[final] ).
cnf(i_0_1138,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1139,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1140,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1141,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1142,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1143,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_1144,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1145,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1146,axiom,
( c_Finite__Set_Ofinite(X2,X1)
| ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
cls_finite_0,
[final] ).
cnf(i_0_1147,axiom,
c_Relation_Osym(c_Relation_OId(X1),X1),
cls_sym__Id_0,
[final] ).
cnf(i_0_1148,axiom,
c_Relation_Otrans(c_Relation_OId(X1),X1),
cls_trans__Id_0,
[final] ).
cnf(i_0_1149,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1150,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1151,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1152,axiom,
class_Finite__Set_Ofinite_Ofinite(tc_bool),
clsarity_bool__Finite__Set_Ofinite_Ofinite,
[final] ).
cnf(i_0_1153,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1154,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1155,axiom,
class_Complete__Lattice_Ocomplete__lattice(tc_bool),
clsarity_bool__Complete__Lattice_Ocomplete__lattice,
[final] ).
cnf(i_0_1156,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1157,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1158,negated_conjecture,
~ v_thesis____,
cls_conjecture_0,
[final] ).
cnf(i_0_1159,axiom,
v_a____ != v_b____,
cls_CHAINED_0,
[final] ).
cnf(i_0_1160,axiom,
X1 = X1 ).
cnf(i_0_1161,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1162,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1163,axiom,
( X1 != X2
| c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).
cnf(i_0_1164,axiom,
( X1 != X2
| c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).
cnf(i_0_1165,axiom,
( X1 != X2
| c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).
cnf(i_0_1166,axiom,
( X1 != X2
| c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).
cnf(i_0_1167,axiom,
( X1 != X2
| c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X2,X3) ) ).
cnf(i_0_1168,axiom,
( X1 != X2
| c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X3,X2) ) ).
cnf(i_0_1169,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1170,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1171,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1172,axiom,
( X1 != X2
| c_Product__Type_OSigma(X1,X3,X4,X5) = c_Product__Type_OSigma(X2,X3,X4,X5) ) ).
cnf(i_0_1173,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X1,X4,X5) = c_Product__Type_OSigma(X3,X2,X4,X5) ) ).
cnf(i_0_1174,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X1,X5) = c_Product__Type_OSigma(X3,X4,X2,X5) ) ).
cnf(i_0_1175,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X5,X1) = c_Product__Type_OSigma(X3,X4,X5,X2) ) ).
cnf(i_0_1176,axiom,
( X1 != X2
| c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).
cnf(i_0_1177,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).
cnf(i_0_1178,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).
cnf(i_0_1179,axiom,
( X1 != X2
| c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).
cnf(i_0_1180,axiom,
( X1 != X2
| c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).
cnf(i_0_1181,axiom,
( X1 != X2
| c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).
cnf(i_0_1182,axiom,
( X1 != X2
| c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).
cnf(i_0_1183,axiom,
( X1 != X2
| c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).
cnf(i_0_1184,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).
cnf(i_0_1185,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).
cnf(i_0_1186,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1187,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1188,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1189,axiom,
( X1 != X2
| c_Relation_OId(X1) = c_Relation_OId(X2) ) ).
cnf(i_0_1190,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1191,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1192,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1193,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1194,axiom,
( X1 != X2
| c_Relation_Oinv__image(X1,X3,X4,X5) = c_Relation_Oinv__image(X2,X3,X4,X5) ) ).
cnf(i_0_1195,axiom,
( X1 != X2
| c_Relation_Oinv__image(X3,X1,X4,X5) = c_Relation_Oinv__image(X3,X2,X4,X5) ) ).
cnf(i_0_1196,axiom,
( X1 != X2
| c_Relation_Oinv__image(X3,X4,X1,X5) = c_Relation_Oinv__image(X3,X4,X2,X5) ) ).
cnf(i_0_1197,axiom,
( X1 != X2
| c_Relation_Oinv__image(X3,X4,X5,X1) = c_Relation_Oinv__image(X3,X4,X5,X2) ) ).
cnf(i_0_1198,axiom,
( X1 != X2
| c_Relation_Orel__comp(X1,X3,X4,X5,X6) = c_Relation_Orel__comp(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1199,axiom,
( X1 != X2
| c_Relation_Orel__comp(X3,X1,X4,X5,X6) = c_Relation_Orel__comp(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1200,axiom,
( X1 != X2
| c_Relation_Orel__comp(X3,X4,X1,X5,X6) = c_Relation_Orel__comp(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1201,axiom,
( X1 != X2
| c_Relation_Orel__comp(X3,X4,X5,X1,X6) = c_Relation_Orel__comp(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1202,axiom,
( X1 != X2
| c_Relation_Orel__comp(X3,X4,X5,X6,X1) = c_Relation_Orel__comp(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1203,axiom,
( X1 != X2
| c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1204,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X1,X4,X5,X6) = c_Recdef_Ocut(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1205,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X4,X1,X5,X6) = c_Recdef_Ocut(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1206,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X4,X5,X1,X6) = c_Recdef_Ocut(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1207,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X4,X5,X6,X1) = c_Recdef_Ocut(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1208,axiom,
( X1 != X2
| c_Relation_OId__on(X1,X3) = c_Relation_OId__on(X2,X3) ) ).
cnf(i_0_1209,axiom,
( X1 != X2
| c_Relation_OId__on(X3,X1) = c_Relation_OId__on(X3,X2) ) ).
cnf(i_0_1210,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1211,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1212,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1213,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1214,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1215,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1216,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1217,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1218,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1219,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1220,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1221,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1222,axiom,
( X1 != X2
| ~ c_Relation_Ototal__on(X1,X3,X4)
| c_Relation_Ototal__on(X2,X3,X4) ) ).
cnf(i_0_1223,axiom,
( X1 != X2
| ~ c_Relation_Ototal__on(X3,X1,X4)
| c_Relation_Ototal__on(X3,X2,X4) ) ).
cnf(i_0_1224,axiom,
( X1 != X2
| ~ c_Relation_Ototal__on(X3,X4,X1)
| c_Relation_Ototal__on(X3,X4,X2) ) ).
cnf(i_0_1225,axiom,
( X1 != X2
| ~ c_Nitpick_Orefl_H(X1,X3)
| c_Nitpick_Orefl_H(X2,X3) ) ).
cnf(i_0_1226,axiom,
( X1 != X2
| ~ c_Nitpick_Orefl_H(X3,X1)
| c_Nitpick_Orefl_H(X3,X2) ) ).
cnf(i_0_1227,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1228,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1229,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1230,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1231,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1232,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1233,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1234,axiom,
( X1 != X2
| ~ c_Wellfounded_Owf(X1,X3)
| c_Wellfounded_Owf(X2,X3) ) ).
cnf(i_0_1235,axiom,
( X1 != X2
| ~ c_Wellfounded_Owf(X3,X1)
| c_Wellfounded_Owf(X3,X2) ) ).
cnf(i_0_1236,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1237,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1238,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1239,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1240,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1241,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1242,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1243,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1244,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1245,axiom,
( X1 != X2
| ~ c_Relation_Orefl__on(X1,X3,X4)
| c_Relation_Orefl__on(X2,X3,X4) ) ).
cnf(i_0_1246,axiom,
( X1 != X2
| ~ c_Relation_Orefl__on(X3,X1,X4)
| c_Relation_Orefl__on(X3,X2,X4) ) ).
cnf(i_0_1247,axiom,
( X1 != X2
| ~ c_Relation_Orefl__on(X3,X4,X1)
| c_Relation_Orefl__on(X3,X4,X2) ) ).
cnf(i_0_1248,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(X2,X3) ) ).
cnf(i_0_1249,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X3,X1)
| c_Relation_Otrans(X3,X2) ) ).
cnf(i_0_1250,axiom,
( X1 != X2
| ~ c_Relation_Osym(X1,X3)
| c_Relation_Osym(X2,X3) ) ).
cnf(i_0_1251,axiom,
( X1 != X2
| ~ c_Relation_Osym(X3,X1)
| c_Relation_Osym(X3,X2) ) ).
cnf(i_0_1252,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X1,X3,X4)
| c_Equiv__Relations_Oequiv(X2,X3,X4) ) ).
cnf(i_0_1253,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X1,X4)
| c_Equiv__Relations_Oequiv(X3,X2,X4) ) ).
cnf(i_0_1254,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X4,X1)
| c_Equiv__Relations_Oequiv(X3,X4,X2) ) ).
cnf(i_0_1255,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1256,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1257,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1160_001,axiom,
X1 = X1 ).
cnf(i_0_1161_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1162_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1163_004,axiom,
( X1 != X2
| c_Pair(X1,X3,X4,X5) = c_Pair(X2,X3,X4,X5) ) ).
cnf(i_0_1164_005,axiom,
( X1 != X2
| c_Pair(X3,X1,X4,X5) = c_Pair(X3,X2,X4,X5) ) ).
cnf(i_0_1165_006,axiom,
( X1 != X2
| c_Pair(X3,X4,X1,X5) = c_Pair(X3,X4,X2,X5) ) ).
cnf(i_0_1166_007,axiom,
( X1 != X2
| c_Pair(X3,X4,X5,X1) = c_Pair(X3,X4,X5,X2) ) ).
cnf(i_0_1167_008,axiom,
( X1 != X2
| c_Transitive__Closure_Ortrancl(X1,X3) = c_Transitive__Closure_Ortrancl(X2,X3) ) ).
cnf(i_0_1168_009,axiom,
( X1 != X2
| c_Transitive__Closure_Ortrancl(X3,X1) = c_Transitive__Closure_Ortrancl(X3,X2) ) ).
cnf(i_0_1169_010,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1170_011,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1171_012,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1172_013,axiom,
( X1 != X2
| c_Product__Type_OSigma(X1,X3,X4,X5) = c_Product__Type_OSigma(X2,X3,X4,X5) ) ).
cnf(i_0_1173_014,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X1,X4,X5) = c_Product__Type_OSigma(X3,X2,X4,X5) ) ).
cnf(i_0_1174_015,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X1,X5) = c_Product__Type_OSigma(X3,X4,X2,X5) ) ).
cnf(i_0_1175_016,axiom,
( X1 != X2
| c_Product__Type_OSigma(X3,X4,X5,X1) = c_Product__Type_OSigma(X3,X4,X5,X2) ) ).
cnf(i_0_1176_017,axiom,
( X1 != X2
| c_Relation_Oconverse(X1,X3,X4) = c_Relation_Oconverse(X2,X3,X4) ) ).
cnf(i_0_1177_018,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X1,X4) = c_Relation_Oconverse(X3,X2,X4) ) ).
cnf(i_0_1178_019,axiom,
( X1 != X2
| c_Relation_Oconverse(X3,X4,X1) = c_Relation_Oconverse(X3,X4,X2) ) ).
cnf(i_0_1179_020,axiom,
( X1 != X2
| c_Relation_ODomain(X1,X3,X4) = c_Relation_ODomain(X2,X3,X4) ) ).
cnf(i_0_1180_021,axiom,
( X1 != X2
| c_Relation_ODomain(X3,X1,X4) = c_Relation_ODomain(X3,X2,X4) ) ).
cnf(i_0_1181_022,axiom,
( X1 != X2
| c_Relation_ODomain(X3,X4,X1) = c_Relation_ODomain(X3,X4,X2) ) ).
cnf(i_0_1182_023,axiom,
( X1 != X2
| c_Relation_OImage(X1,X3,X4,X5) = c_Relation_OImage(X2,X3,X4,X5) ) ).
cnf(i_0_1183_024,axiom,
( X1 != X2
| c_Relation_OImage(X3,X1,X4,X5) = c_Relation_OImage(X3,X2,X4,X5) ) ).
cnf(i_0_1184_025,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X1,X5) = c_Relation_OImage(X3,X4,X2,X5) ) ).
cnf(i_0_1185_026,axiom,
( X1 != X2
| c_Relation_OImage(X3,X4,X5,X1) = c_Relation_OImage(X3,X4,X5,X2) ) ).
cnf(i_0_1186_027,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1187_028,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1188_029,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1189_030,axiom,
( X1 != X2
| c_Relation_OId(X1) = c_Relation_OId(X2) ) ).
cnf(i_0_1190_031,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1191_032,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1192_033,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1193_034,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1194_035,axiom,
( X1 != X2
| c_Relation_Oinv__image(X1,X3,X4,X5) = c_Relation_Oinv__image(X2,X3,X4,X5) ) ).
cnf(i_0_1195_036,axiom,
( X1 != X2
| c_Relation_Oinv__image(X3,X1,X4,X5) = c_Relation_Oinv__image(X3,X2,X4,X5) ) ).
cnf(i_0_1196_037,axiom,
( X1 != X2
| c_Relation_Oinv__image(X3,X4,X1,X5) = c_Relation_Oinv__image(X3,X4,X2,X5) ) ).
cnf(i_0_1197_038,axiom,
( X1 != X2
| c_Relation_Oinv__image(X3,X4,X5,X1) = c_Relation_Oinv__image(X3,X4,X5,X2) ) ).
cnf(i_0_1198_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_1199_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_1200_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_1201_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_1202_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_1203_044,axiom,
( X1 != X2
| c_Recdef_Ocut(X1,X3,X4,X5,X6) = c_Recdef_Ocut(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1204_045,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X1,X4,X5,X6) = c_Recdef_Ocut(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1205_046,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X4,X1,X5,X6) = c_Recdef_Ocut(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1206_047,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X4,X5,X1,X6) = c_Recdef_Ocut(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1207_048,axiom,
( X1 != X2
| c_Recdef_Ocut(X3,X4,X5,X6,X1) = c_Recdef_Ocut(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1208_049,axiom,
( X1 != X2
| c_Relation_OId__on(X1,X3) = c_Relation_OId__on(X2,X3) ) ).
cnf(i_0_1209_050,axiom,
( X1 != X2
| c_Relation_OId__on(X3,X1) = c_Relation_OId__on(X3,X2) ) ).
cnf(i_0_1210_051,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1211_052,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1212_053,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X1,X3) = c_Complete__Lattice_OSup__class_OSup(X2,X3) ) ).
cnf(i_0_1213_054,axiom,
( X1 != X2
| c_Complete__Lattice_OSup__class_OSup(X3,X1) = c_Complete__Lattice_OSup__class_OSup(X3,X2) ) ).
cnf(i_0_1214_055,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X1,X3) = c_Complete__Lattice_OInf__class_OInf(X2,X3) ) ).
cnf(i_0_1215_056,axiom,
( X1 != X2
| c_Complete__Lattice_OInf__class_OInf(X3,X1) = c_Complete__Lattice_OInf__class_OInf(X3,X2) ) ).
cnf(i_0_1216_057,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1217_058,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1218_059,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1219_060,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1220_061,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1221_062,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1222_063,axiom,
( X1 != X2
| ~ c_Relation_Ototal__on(X1,X3,X4)
| c_Relation_Ototal__on(X2,X3,X4) ) ).
cnf(i_0_1223_064,axiom,
( X1 != X2
| ~ c_Relation_Ototal__on(X3,X1,X4)
| c_Relation_Ototal__on(X3,X2,X4) ) ).
cnf(i_0_1224_065,axiom,
( X1 != X2
| ~ c_Relation_Ototal__on(X3,X4,X1)
| c_Relation_Ototal__on(X3,X4,X2) ) ).
cnf(i_0_1225_066,axiom,
( X1 != X2
| ~ c_Nitpick_Orefl_H(X1,X3)
| c_Nitpick_Orefl_H(X2,X3) ) ).
cnf(i_0_1226_067,axiom,
( X1 != X2
| ~ c_Nitpick_Orefl_H(X3,X1)
| c_Nitpick_Orefl_H(X3,X2) ) ).
cnf(i_0_1227_068,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1228_069,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1229_070,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1230_071,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1231_072,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1232_073,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1233_074,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1234_075,axiom,
( X1 != X2
| ~ c_Wellfounded_Owf(X1,X3)
| c_Wellfounded_Owf(X2,X3) ) ).
cnf(i_0_1235_076,axiom,
( X1 != X2
| ~ c_Wellfounded_Owf(X3,X1)
| c_Wellfounded_Owf(X3,X2) ) ).
cnf(i_0_1236_077,axiom,
( X1 != X2
| ~ class_Complete__Lattice_Ocomplete__lattice(X1)
| class_Complete__Lattice_Ocomplete__lattice(X2) ) ).
cnf(i_0_1237_078,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1238_079,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1239_080,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1240_081,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1241_082,axiom,
( X1 != X2
| ~ class_Finite__Set_Ofinite_Ofinite(X1)
| class_Finite__Set_Ofinite_Ofinite(X2) ) ).
cnf(i_0_1242_083,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1243_084,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1244_085,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1245_086,axiom,
( X1 != X2
| ~ c_Relation_Orefl__on(X1,X3,X4)
| c_Relation_Orefl__on(X2,X3,X4) ) ).
cnf(i_0_1246_087,axiom,
( X1 != X2
| ~ c_Relation_Orefl__on(X3,X1,X4)
| c_Relation_Orefl__on(X3,X2,X4) ) ).
cnf(i_0_1247_088,axiom,
( X1 != X2
| ~ c_Relation_Orefl__on(X3,X4,X1)
| c_Relation_Orefl__on(X3,X4,X2) ) ).
cnf(i_0_1248_089,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(X2,X3) ) ).
cnf(i_0_1249_090,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X3,X1)
| c_Relation_Otrans(X3,X2) ) ).
cnf(i_0_1250_091,axiom,
( X1 != X2
| ~ c_Relation_Osym(X1,X3)
| c_Relation_Osym(X2,X3) ) ).
cnf(i_0_1251_092,axiom,
( X1 != X2
| ~ c_Relation_Osym(X3,X1)
| c_Relation_Osym(X3,X2) ) ).
cnf(i_0_1252_093,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X1,X3,X4)
| c_Equiv__Relations_Oequiv(X2,X3,X4) ) ).
cnf(i_0_1253_094,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X1,X4)
| c_Equiv__Relations_Oequiv(X3,X2,X4) ) ).
cnf(i_0_1254_095,axiom,
( X1 != X2
| ~ c_Equiv__Relations_Oequiv(X3,X4,X1)
| c_Equiv__Relations_Oequiv(X3,X4,X2) ) ).
cnf(i_0_1255_096,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X1,X3)
| c_Finite__Set_Ofinite(X2,X3) ) ).
cnf(i_0_1256_097,axiom,
( X1 != X2
| ~ c_Finite__Set_Ofinite(X3,X1)
| c_Finite__Set_Ofinite(X3,X2) ) ).
cnf(i_0_1257_098,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1258,plain,
c_Recdef_Ocut(X1,X2,X3,X4,X5) = c_Recdef_Ocut(X1,X2,X3,X4,X5),
inference(equality_inference,[],[619]) ).
cnf(i_0_1259,plain,
( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| hAPP(X5,X1) = hAPP(X5,X1) ),
inference(equality_inference,[],[662]) ).
cnf(i_0_1260,plain,
( X1 = X1
| ~ c_in(X2,X3,X4) ),
inference(equality_inference,[],[794]) ).
cnf(i_0_1261,plain,
X1 = X1,
inference(equality_inference,[],[857]) ).
cnf(i_0_1262,plain,
X1 = X1,
inference(equality_inference,[],[858]) ).
cnf(i_0_1263,plain,
( X1 = X1
| c_in(X2,X1,X3)
| c_in(X2,X1,X3) ),
inference(equality_inference,[],[1005]) ).
cnf(i_0_1264,plain,
( ~ c_in(c_Pair(v_b____,v_a____,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)) ),
inference(scs_inference,[],[i_0_1158,i_0_826]) ).
cnf(i_0_1265,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1110,i_0_1264]) ).
cnf(i_0_1266,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_b____,v_a____,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_1264]) ).
cnf(i_0_1267,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_1086,i_0_1110,i_0_1264,i_0_724]) ).
cnf(i_0_1268,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1269,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_724]) ).
cnf(i_0_1270,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_1086,i_0_1268,i_0_1110,i_0_1264,i_0_724,i_0_768]) ).
cnf(i_0_1271,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1272,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_768]) ).
cnf(i_0_1273,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_1086,i_0_1268,i_0_1271,i_0_1110,i_0_1264,i_0_724,i_0_768,i_0_825]) ).
cnf(i_0_1274,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1275,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_825]) ).
cnf(i_0_1276,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_1086,i_0_1268,i_0_1271,i_0_1110,i_0_842,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849]) ).
cnf(i_0_1277,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_842]) ).
cnf(i_0_1278,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_849]) ).
cnf(i_0_1279,plain,
c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1110,i_0_1064,i_0_842,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956]) ).
cnf(i_0_1280,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1281,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_956]) ).
cnf(i_0_1282,plain,
c_in(c_Arrow__Order__Mirabelle_Omkbot(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1086,i_0_1268,i_0_1271,i_0_1110,i_0_1064,i_0_842,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974]) ).
cnf(i_0_1283,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_974]) ).
cnf(i_0_1284,plain,
c_in(c_Arrow__Order__Mirabelle_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1086,i_0_1268,i_0_1271,i_0_1110,i_0_1064,i_0_842,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975]) ).
cnf(i_0_1285,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_975]) ).
cnf(i_0_1286,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034]) ).
cnf(i_0_1287,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1288,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_1034]) ).
cnf(i_0_1289,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112]) ).
cnf(i_0_1290,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1112]) ).
cnf(i_0_1291,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1277,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617]) ).
cnf(i_0_1292,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_842]) ).
cnf(i_0_1293,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_617]) ).
cnf(i_0_1294,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1277,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618]) ).
cnf(i_0_1295,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_843]) ).
cnf(i_0_1296,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_618]) ).
cnf(i_0_1297,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1277,i_0_1292,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621]) ).
cnf(i_0_1298,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_842]) ).
cnf(i_0_1299,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_621]) ).
cnf(i_0_1300,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648]) ).
cnf(i_0_1301,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_842]) ).
cnf(i_0_1302,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_648]) ).
cnf(i_0_1303,plain,
~ c_in(X1,c_Relation_OImage(c_Relation_Orel__comp(X2,c_Arrow__Order__Mirabelle_Omkbot(X3,X1),X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,X4,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649]) ).
cnf(i_0_1304,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_649]) ).
cnf(i_0_1305,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717]) ).
cnf(i_0_1306,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_842]) ).
cnf(i_0_1307,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_717]) ).
cnf(i_0_1308,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X2,X2),c_Relation_ODomain(c_Relation_Oconverse(X1,X2,X2),X2,X2),tc_fun(X2,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Set_Oinsert(X3,X1,tc_prod(X2,X2)),X2,X2),c_Relation_ODomain(c_Relation_Oconverse(c_Set_Oinsert(X3,X1,tc_prod(X2,X2)),X2,X2),X2,X2),tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_1280,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718]) ).
cnf(i_0_1309,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1310,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X1,X3,X3),X3,X3),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X2,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X3),X3,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_718]) ).
cnf(i_0_1311,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_1280,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726]) ).
cnf(i_0_1312,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1313,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_726]) ).
cnf(i_0_1314,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_1280,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737]) ).
cnf(i_0_1315,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_843]) ).
cnf(i_0_1316,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_737]) ).
cnf(i_0_1317,plain,
~ c_in(X1,c_Relation_ODomain(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X2,X1),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4),tc_Arrow__Order__Mirabelle_Oalt,X4),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_1280,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738]) ).
cnf(i_0_1318,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_738]) ).
cnf(i_0_1319,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_1064,i_0_1280,i_0_1309,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811]) ).
cnf(i_0_1320,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_811]) ).
cnf(i_0_1321,plain,
c_Nitpick_Orefl_H(c_Relation_OId(X1),X1),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822]) ).
cnf(i_0_1322,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId(X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_889]) ).
cnf(i_0_1323,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_822]) ).
cnf(i_0_1324,plain,
~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839]) ).
cnf(i_0_1325,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1326,plain,
( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Wellfounded_Owf(X3,X2) ),
inference(rename_variables,[],[i_0_839]) ).
cnf(i_0_1327,plain,
~ c_Nitpick_Orefl_H(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882]) ).
cnf(i_0_1328,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_842]) ).
cnf(i_0_1329,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_882]) ).
cnf(i_0_1330,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899]) ).
cnf(i_0_1331,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1332,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_899]) ).
cnf(i_0_1333,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914]) ).
cnf(i_0_1334,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1335,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_914]) ).
cnf(i_0_1336,plain,
c_lessequals(X1,c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915]) ).
cnf(i_0_1337,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1338,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_915]) ).
cnf(i_0_1339,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916]) ).
cnf(i_0_1340,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_1037]) ).
cnf(i_0_1341,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_916]) ).
cnf(i_0_1342,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917]) ).
cnf(i_0_1343,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_1037]) ).
cnf(i_0_1344,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_917]) ).
cnf(i_0_1345,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964]) ).
cnf(i_0_1346,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1347,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_964]) ).
cnf(i_0_1348,plain,
~ c_fequal(v_a____,v_b____,X1),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1159,i_0_1029,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117]) ).
cnf(i_0_1349,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1117]) ).
cnf(i_0_1350,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1159,i_0_1029,i_0_1150,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129]) ).
cnf(i_0_1351,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1129]) ).
cnf(i_0_1352,plain,
c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X1,X2),X1,X2,X2,X2) = c_Relation_Orel__comp(X1,c_Transitive__Closure_Ortrancl(X1,X2),X2,X2,X2),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1159,i_0_710,i_0_1029,i_0_1150,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161]) ).
cnf(i_0_1353,plain,
c_Finite__Set_Ofinite(X1,tc_bool),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1159,i_0_710,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146]) ).
cnf(i_0_1354,plain,
( ~ class_Finite__Set_Ofinite_Ofinite(X1)
| c_Finite__Set_Ofinite(X2,X1) ),
inference(rename_variables,[],[i_0_1146]) ).
cnf(i_0_1355,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_OImage(c_Relation_OId(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,X4)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221]) ).
cnf(i_0_1356,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1357,plain,
~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X2,X1),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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(X2,X1),X3,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(X2,X1),X3,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640]) ).
cnf(i_0_1358,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_1037]) ).
cnf(i_0_1359,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_640]) ).
cnf(i_0_1360,plain,
~ c_in(c_Pair(X1,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X2,X1),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X2,X1),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omktop(X2,X1),X3,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1110,i_0_889,i_0_881,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658]) ).
cnf(i_0_1361,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_881]) ).
cnf(i_0_1362,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_658]) ).
cnf(i_0_1363,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),tc_prod(X2,X2)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1110,i_0_889,i_0_881,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661]) ).
cnf(i_0_1364,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1365,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1366,plain,
( ~ c_in(c_Pair(X1,X2,X3,X4),X5,tc_prod(X3,X4))
| c_in(c_Pair(X1,X6,X3,X7),c_Relation_Orel__comp(X5,X8,X3,X4,X7),tc_prod(X3,X7))
| ~ c_in(c_Pair(X2,X6,X4,X7),X8,tc_prod(X4,X7)) ),
inference(rename_variables,[],[i_0_661]) ).
cnf(i_0_1367,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712]) ).
cnf(i_0_1368,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_881]) ).
cnf(i_0_1369,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_712]) ).
cnf(i_0_1370,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777]) ).
cnf(i_0_1371,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_842]) ).
cnf(i_0_1372,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_777]) ).
cnf(i_0_1373,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778]) ).
cnf(i_0_1374,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_842]) ).
cnf(i_0_1375,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_778]) ).
cnf(i_0_1376,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819]) ).
cnf(i_0_1377,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_819]) ).
cnf(i_0_1378,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823]) ).
cnf(i_0_1379,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1380,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_823]) ).
cnf(i_0_1381,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827]) ).
cnf(i_0_1382,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1383,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_827]) ).
cnf(i_0_1384,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828]) ).
cnf(i_0_1385,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1386,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_828]) ).
cnf(i_0_1387,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829]) ).
cnf(i_0_1388,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1389,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_829]) ).
cnf(i_0_1390,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830]) ).
cnf(i_0_1391,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1392,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_830]) ).
cnf(i_0_1393,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851]) ).
cnf(i_0_1394,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_851]) ).
cnf(i_0_1395,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_b____,v_a____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852]) ).
cnf(i_0_1396,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_852]) ).
cnf(i_0_1397,plain,
c_in(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931]) ).
cnf(i_0_1398,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_931]) ).
cnf(i_0_1399,plain,
c_in(c_Arrow__Order__Mirabelle_Obelow(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932]) ).
cnf(i_0_1400,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_932]) ).
cnf(i_0_1401,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017]) ).
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_1037]) ).
cnf(i_0_1403,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_1017]) ).
cnf(i_0_1404,plain,
~ c_in(c_Relation_OImage(c_Relation_OId(X1),c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,X1),c_Arrow__Order__Mirabelle_Omkbot(X4,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219]) ).
cnf(i_0_1405,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1406,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1124,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220]) ).
cnf(i_0_1407,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1408,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1124,i_0_1312,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624]) ).
cnf(i_0_1409,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1410,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_624]) ).
cnf(i_0_1411,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647]) ).
cnf(i_0_1412,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1413,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1414,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_647]) ).
cnf(i_0_1415,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653]) ).
cnf(i_0_1416,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1417,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1418,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_653]) ).
cnf(i_0_1419,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732]) ).
cnf(i_0_1420,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_732]) ).
cnf(i_0_1421,plain,
~ c_Wellfounded_Owf(c_Relation_OId(X1),X1),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736]) ).
cnf(i_0_1422,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_736]) ).
cnf(i_0_1423,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792]) ).
cnf(i_0_1424,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1425,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_792]) ).
cnf(i_0_1426,plain,
~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804]) ).
cnf(i_0_1427,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_804]) ).
cnf(i_0_1428,plain,
~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805]) ).
cnf(i_0_1429,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_805]) ).
cnf(i_0_1430,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861]) ).
cnf(i_0_1431,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_842]) ).
cnf(i_0_1432,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1086]) ).
cnf(i_0_1433,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_861]) ).
cnf(i_0_1434,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984]) ).
cnf(i_0_1435,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_984]) ).
cnf(i_0_1436,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986]) ).
cnf(i_0_1437,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_986]) ).
cnf(i_0_1438,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031]) ).
cnf(i_0_1439,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1440,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_1031]) ).
cnf(i_0_1441,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X5),X2)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061]) ).
cnf(i_0_1442,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1064]) ).
cnf(i_0_1443,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1061]) ).
cnf(i_0_1444,plain,
c_Relation_OImage(c_Relation_OId(X1),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3),X1,X1) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X2,X3),X2,X3,X3,X3),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162]) ).
cnf(i_0_1445,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1446,plain,
~ c_Nitpick_Orefl_H(c_Relation_OImage(c_Relation_OId(X1),c_Arrow__Order__Mirabelle_Omkbot(X2,X3),X1,X1),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225]) ).
cnf(i_0_1447,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1448,plain,
~ c_Nitpick_Orefl_H(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Relation_OImage(c_Relation_OId(X3),tc_Arrow__Order__Mirabelle_Oalt,X3,X3)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226]) ).
cnf(i_0_1449,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1450,plain,
~ c_Wellfounded_Owf(c_Relation_Oconverse(c_Relation_OId(X1),X1,X1),X1),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234]) ).
cnf(i_0_1451,plain,
~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(X1,X1,c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X2,X3),X2,X3,X3,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X2,X3),X2,X3,X3,X3)),X4,tc_prod(c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X2,X3),X2,X3,X3,X3),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(X2,X3),X2,X3,X3,X3))),c_Relation_Orel__comp(X2,c_Transitive__Closure_Ortrancl(X2,X3),X3,X3,X3)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235]) ).
cnf(i_0_1452,plain,
~ c_fequal(c_Relation_OImage(c_Relation_OId(X1),v_a____,X1,X1),v_b____,X2),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238]) ).
cnf(i_0_1453,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1454,plain,
~ c_fequal(v_a____,c_Relation_OImage(c_Relation_OId(X1),v_b____,X1,X1),X2),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239]) ).
cnf(i_0_1455,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1456,plain,
c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,tc_bool,X3),X3),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837]) ).
cnf(i_0_1457,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1458,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_837]) ).
cnf(i_0_1459,plain,
~ c_Relation_Orefl__on(c_Relation_OImage(c_Relation_OId(X1),c_Arrow__Order__Mirabelle_Omkbot(X2,X3),X1,X1),c_Set_Oinsert(c_Pair(c_Pair(X3,X3,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245]) ).
cnf(i_0_1460,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1461,plain,
~ c_Relation_Orefl__on(c_Set_Oinsert(X1,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X1),X3,X3),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246]) ).
cnf(i_0_1462,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1463,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_OImage(c_Relation_OId(X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,X5)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247]) ).
cnf(i_0_1464,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1465,plain,
~ c_Equiv__Relations_Oequiv(c_Relation_OImage(c_Relation_OId(X1),c_Arrow__Order__Mirabelle_Omkbot(X2,X3),X1,X1),c_Set_Oinsert(c_Pair(c_Pair(X3,X3,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252]) ).
cnf(i_0_1466,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1467,plain,
~ c_Equiv__Relations_Oequiv(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_OImage(c_Relation_OId(X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,X5)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254]) ).
cnf(i_0_1468,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1469,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X1),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743]) ).
cnf(i_0_1470,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_842]) ).
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,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_743]) ).
cnf(i_0_1472,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_b____),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744]) ).
cnf(i_0_1473,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_842]) ).
cnf(i_0_1474,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_744]) ).
cnf(i_0_1475,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761]) ).
cnf(i_0_1476,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_761]) ).
cnf(i_0_1477,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754]) ).
cnf(i_0_1478,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_754]) ).
cnf(i_0_1479,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_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741]) ).
cnf(i_0_1480,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_843]) ).
cnf(i_0_1481,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_741]) ).
cnf(i_0_1482,plain,
c_in(X1,c_Wellfounded_Oacc(c_Relation_Oinv__image(c_Arrow__Order__Mirabelle_Omkbot(X2,hAPP(X3,X1)),X3,tc_Arrow__Order__Mirabelle_Oalt,X4),X4),X4),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850]) ).
cnf(i_0_1483,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_850]) ).
cnf(i_0_1484,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))
| ~ c_in(c_Pair(X2,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X3,X1),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627]) ).
cnf(i_0_1485,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_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)) ),
inference(rename_variables,[],[i_0_627]) ).
cnf(i_0_1486,plain,
~ c_Relation_Osym(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627,i_0_776]) ).
cnf(i_0_1487,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_776]) ).
cnf(i_0_1488,plain,
~ c_Relation_Osym(c_Relation_OImage(c_Relation_OId(X1),c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),X1,X1),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627,i_0_776,i_0_1250]) ).
cnf(i_0_1489,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1490,plain,
~ c_Relation_Osym(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),c_Relation_OImage(c_Relation_OId(X1),tc_Arrow__Order__Mirabelle_Oalt,X1,X1)),
inference(scs_inference,[],[i_0_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1489,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627,i_0_776,i_0_1250,i_0_1251]) ).
cnf(i_0_1491,plain,
c_Relation_OImage(c_Relation_OId(X1),X2,X1,X1) = X2,
inference(rename_variables,[],[i_0_1022]) ).
cnf(i_0_1492,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))
| ~ c_in(c_Pair(X2,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X1,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X3,X1),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X3,X1),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1489,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627,i_0_776,i_0_1250,i_0_1251,i_0_692]) ).
cnf(i_0_1493,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(rename_variables,[],[i_0_692]) ).
cnf(i_0_1494,plain,
( ~ c_Equiv__Relations_Oequiv(X1,c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt)
| ~ c_in(c_Pair(X2,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X3,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X4,X3),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X4,X3),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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(X4,X3),X5,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(X4,X3),X5,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1489,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627,i_0_776,i_0_1250,i_0_1251,i_0_692,i_0_1114]) ).
cnf(i_0_1495,plain,
( c_Relation_Osym(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
inference(rename_variables,[],[i_0_1114]) ).
cnf(i_0_1496,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_881]) ).
cnf(i_0_1497,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1498,plain,
( c_Wellfounded_Owf(c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),X3)
| X4 = c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X4,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X5,X4),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X5,X4),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X1,X2,c_Product__Type_OSigma(X1,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),X3),X1,X3)
| ~ c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X5,X4),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X5,X4),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X4,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X4,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X5,X4),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X5,X4),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X4,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X5,X4),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X5,X4),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(X5,X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X6,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(X4,c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X5,X4),c_Transitive__Closure_Ortrancl(c_Arrow__Order__Mirabelle_Omktop(X5,X4),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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(X5,X4),X7,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(X5,X4),X7,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_1086,i_0_1268,i_0_1271,i_0_1274,i_0_1287,i_0_1325,i_0_1365,i_0_1382,i_0_1385,i_0_1388,i_0_1391,i_0_1110,i_0_889,i_0_1322,i_0_881,i_0_1361,i_0_1368,i_0_1064,i_0_1280,i_0_1309,i_0_1331,i_0_1334,i_0_1337,i_0_1346,i_0_1379,i_0_1417,i_0_1424,i_0_1439,i_0_1416,i_0_1124,i_0_1312,i_0_1409,i_0_1413,i_0_1457,i_0_842,i_0_1277,i_0_1292,i_0_1298,i_0_1301,i_0_1306,i_0_1328,i_0_1371,i_0_1374,i_0_1431,i_0_1470,i_0_843,i_0_1295,i_0_1315,i_0_1037,i_0_1340,i_0_1343,i_0_1358,i_0_1159,i_0_710,i_0_1125,i_0_1022,i_0_1356,i_0_1405,i_0_1407,i_0_1445,i_0_1447,i_0_1449,i_0_1453,i_0_1455,i_0_1460,i_0_1462,i_0_1464,i_0_1466,i_0_1468,i_0_1489,i_0_1029,i_0_1150,i_0_1152,i_0_1157,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_849,i_0_956,i_0_974,i_0_975,i_0_1034,i_0_1112,i_0_617,i_0_618,i_0_621,i_0_648,i_0_649,i_0_717,i_0_718,i_0_726,i_0_737,i_0_738,i_0_811,i_0_822,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_916,i_0_917,i_0_964,i_0_1117,i_0_1129,i_0_1161,i_0_1146,i_0_1221,i_0_640,i_0_658,i_0_661,i_0_712,i_0_777,i_0_778,i_0_819,i_0_823,i_0_827,i_0_828,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_1017,i_0_1219,i_0_1220,i_0_624,i_0_647,i_0_653,i_0_732,i_0_736,i_0_792,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_1061,i_0_1162,i_0_1225,i_0_1226,i_0_1234,i_0_1235,i_0_1238,i_0_1239,i_0_837,i_0_1245,i_0_1246,i_0_1247,i_0_1252,i_0_1254,i_0_743,i_0_744,i_0_761,i_0_754,i_0_741,i_0_850,i_0_627,i_0_776,i_0_1250,i_0_1251,i_0_692,i_0_1114,i_0_635,i_0_639,i_0_668,i_0_713,i_0_727]) ).
cnf(i_0_1499,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1282,i_0_1264]) ).
cnf(i_0_1500,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_b____,v_a____,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_1264]) ).
cnf(i_0_1501,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_Oinv__image(c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(hAPP(X3,X1),hAPP(X3,X1),X4,X4),X5,tc_prod(X4,X4)),c_Set_Oinsert(c_Pair(hAPP(X3,X1),hAPP(X3,X1),X4,X4),X5,tc_prod(X4,X4)),X4,X4,X4),X3,X4,X2),tc_prod(X2,X2)),
inference(scs_inference,[],[i_0_1363,i_0_1282,i_0_1264,i_0_724]) ).
cnf(i_0_1502,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_1363]) ).
cnf(i_0_1503,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_724]) ).
cnf(i_0_1504,plain,
c_in(X1,c_Relation_ODomain(c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),X2,X2),X2),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1282,i_0_1264,i_0_724,i_0_825]) ).
cnf(i_0_1505,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_825]) ).
cnf(i_0_1506,plain,
c_in(X1,c_Wellfounded_Oacc(c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),X2,X2),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1282,i_0_1264,i_0_724,i_0_825,i_0_849]) ).
cnf(i_0_1507,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1508,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_849]) ).
cnf(i_0_1509,plain,
c_in(c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),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_1363,i_0_1502,i_0_1406,i_0_1397,i_0_1282,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974]) ).
cnf(i_0_1510,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_974]) ).
cnf(i_0_1511,plain,
c_in(c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),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_1363,i_0_1502,i_0_1406,i_0_1397,i_0_1282,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975]) ).
cnf(i_0_1512,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_975]) ).
cnf(i_0_1513,plain,
c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X5),X6),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1397,i_0_1282,i_0_1441,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112]) ).
cnf(i_0_1514,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1112]) ).
cnf(i_0_1515,plain,
~ c_in(c_Pair(X1,X2,X3,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(X4,c_Relation_OImage(c_Relation_OId(X5),c_Arrow__Order__Mirabelle_Omkbot(X6,X2),X5,X5),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(X3,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1397,i_0_1282,i_0_1441,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617]) ).
cnf(i_0_1516,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1517,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_617]) ).
cnf(i_0_1518,plain,
c_Recdef_Ocut(X1,c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),X2,X2),X4,tc_Arrow__Order__Mirabelle_Oalt,X5) = c_Recdef_Ocut(X6,c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X4),X2,X2),X4,tc_Arrow__Order__Mirabelle_Oalt,X5),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1397,i_0_1282,i_0_1441,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621]) ).
cnf(i_0_1519,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1520,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_621]) ).
cnf(i_0_1521,plain,
~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(c_Relation_OImage(c_Relation_OId(X4),c_Arrow__Order__Mirabelle_Omkbot(X5,hAPP(X6,X2)),X4,X4),X6,tc_Arrow__Order__Mirabelle_Oalt,X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1397,i_0_1282,i_0_1441,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717]) ).
cnf(i_0_1522,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1523,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_717]) ).
cnf(i_0_1524,plain,
c_Nitpick_Orefl_H(c_Transitive__Closure_Ortrancl(X1,X2),X2),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1397,i_0_1282,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822]) ).
cnf(i_0_1525,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_881]) ).
cnf(i_0_1526,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_822]) ).
cnf(i_0_1527,plain,
~ c_Wellfounded_Owf(c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),X2),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1397,i_0_1282,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839]) ).
cnf(i_0_1528,plain,
( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Wellfounded_Owf(X3,X2) ),
inference(rename_variables,[],[i_0_839]) ).
cnf(i_0_1529,plain,
~ c_Nitpick_Orefl_H(c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),X3,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1401,i_0_1397,i_0_1282,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882]) ).
cnf(i_0_1530,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(rename_variables,[],[i_0_1401]) ).
cnf(i_0_1531,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_882]) ).
cnf(i_0_1532,plain,
~ c_Equiv__Relations_Oequiv(X1,c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114]) ).
cnf(i_0_1533,plain,
( c_Relation_Osym(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
inference(rename_variables,[],[i_0_1114]) ).
cnf(i_0_1534,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_Oconverse(c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),X2,X2),tc_prod(X2,X2)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768]) ).
cnf(i_0_1535,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_768]) ).
cnf(i_0_1536,plain,
c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)),X3),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956]) ).
cnf(i_0_1537,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1538,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_956]) ).
cnf(i_0_1539,plain,
c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(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),X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034]) ).
cnf(i_0_1540,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_1034]) ).
cnf(i_0_1541,plain,
~ c_in(X1,c_Relation_OImage(c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),X2,X2),X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648]) ).
cnf(i_0_1542,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1543,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_648]) ).
cnf(i_0_1544,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3,X3),c_Relation_ODomain(c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3,X3),X3,X3),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X2,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X3),X3,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718]) ).
cnf(i_0_1545,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1546,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X1,X3,X3),X3,X3),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X2,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X3),X3,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_718]) ).
cnf(i_0_1547,plain,
c_lessequals(c_Relation_OImage(c_Lattices_Olower__semilattice__class_Oinf(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)),X6,X5,X4),X3,tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726]) ).
cnf(i_0_1548,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1549,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_726]) ).
cnf(i_0_1550,plain,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811]) ).
cnf(i_0_1551,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_811]) ).
cnf(i_0_1552,plain,
c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),X3,X4),c_Relation_ODomain(X2,X3,X4),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1039,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899]) ).
cnf(i_0_1553,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1554,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_899]) ).
cnf(i_0_1555,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1039,i_0_1537,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914]) ).
cnf(i_0_1556,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1557,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_914]) ).
cnf(i_0_1558,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915]) ).
cnf(i_0_1559,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1560,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_915]) ).
cnf(i_0_1561,plain,
c_lessequals(c_Wellfounded_Oacc(X1,X2),c_Wellfounded_Oacc(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(tc_prod(X2,X2),tc_bool)),X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964]) ).
cnf(i_0_1562,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1563,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_964]) ).
cnf(i_0_1564,plain,
c_in(X1,c_Wellfounded_Oacc(c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omkbot(X2,X1),X3,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),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850]) ).
cnf(i_0_1565,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(rename_variables,[],[i_0_1401]) ).
cnf(i_0_1566,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_850]) ).
cnf(i_0_1567,plain,
~ c_in(X1,c_Relation_OImage(c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omkbot(X2,X1),X3,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649]) ).
cnf(i_0_1568,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(rename_variables,[],[i_0_1401]) ).
cnf(i_0_1569,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_649]) ).
cnf(i_0_1570,plain,
c_lessequals(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)),X2,tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916]) ).
cnf(i_0_1571,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1572,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_916]) ).
cnf(i_0_1573,plain,
c_lessequals(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)),X3,tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917]) ).
cnf(i_0_1574,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1575,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_917]) ).
cnf(i_0_1576,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,X3),c_Relation_Orel__comp(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X4,X1),X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6),X7,tc_Arrow__Order__Mirabelle_Oalt,X6,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,X3)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1039,i_0_1537,i_0_1556,i_0_1441,i_0_1294,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618]) ).
cnf(i_0_1577,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(rename_variables,[],[i_0_1294]) ).
cnf(i_0_1578,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_618]) ).
cnf(i_0_1579,plain,
c_Relation_OId__on(X1,X2) = c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1441,i_0_1294,i_0_881,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161]) ).
cnf(i_0_1580,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X1,tc_bool),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1441,i_0_1294,i_0_1350,i_0_881,i_0_1153,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988]) ).
cnf(i_0_1581,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_1582,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_988]) ).
cnf(i_0_1583,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X2,tc_bool),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1441,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1153,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990]) ).
cnf(i_0_1584,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_1585,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_990]) ).
cnf(i_0_1586,plain,
~ c_Equiv__Relations_Oequiv(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Lattices_Oupper__semilattice__class_Osup(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))),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_fun(X6,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1121,i_0_1441,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1153,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253]) ).
cnf(i_0_1587,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1588,plain,
c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oimage(X2,X3,tc_bool,X4),tc_fun(X4,tc_bool)),X4),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1121,i_0_1441,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1456,i_0_1153,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088]) ).
cnf(i_0_1589,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1590,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_1088]) ).
cnf(i_0_1591,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(c_Relation_Orel__comp(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X3,X1),X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X5,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Transitive__Closure_Ortrancl(c_Relation_Orel__comp(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X3,X1),X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(X5,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),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_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1456,i_0_1153,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639]) ).
cnf(i_0_1592,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(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1593,plain,
( c_in(c_Pair(X1,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__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))
| c_in(c_Pair(X1,X3,X4,X4),X2,tc_prod(X4,X4)) ),
inference(rename_variables,[],[i_0_639]) ).
cnf(i_0_1594,plain,
c_in(c_Pair(X1,X2,X3,X3),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),c_Relation_Oconverse(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776]) ).
cnf(i_0_1595,plain,
c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Relation_Oconverse(X1,X2,X2),tc_fun(tc_prod(X2,X2),tc_bool)),X2),
inference(rename_variables,[],[i_0_901]) ).
cnf(i_0_1596,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_776]) ).
cnf(i_0_1597,plain,
c_in(hAPP(X1,c_Pair(X2,X2,X3,X3)),c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X2,X2,X3,X3),X4,tc_prod(X3,X3)),c_Set_Oinsert(c_Pair(X2,X2,X3,X3),X4,tc_prod(X3,X3)),X3,X3,X3),tc_prod(X3,X3),X5),X6,tc_fun(X5,tc_bool)),X5),
inference(scs_inference,[],[i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823]) ).
cnf(i_0_1598,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1599,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_823]) ).
cnf(i_0_1600,plain,
~ c_Relation_Orefl__on(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_b____,v_a____,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)),X1,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_Set_Oinsert(c_Pair(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_b____,v_a____,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)),X1,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),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_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829]) ).
cnf(i_0_1601,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_1363]) ).
cnf(i_0_1602,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_829]) ).
cnf(i_0_1603,plain,
~ c_Relation_Orefl__on(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Transitive__Closure_Ortrancl(c_Relation_Oinv__image(c_Set_Oinsert(c_Pair(hAPP(X1,X2),hAPP(X1,c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3,X3),X4,tc_prod(X3,X3)),X1,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)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830]) ).
cnf(i_0_1604,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(rename_variables,[],[i_0_1367]) ).
cnf(i_0_1605,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_830]) ).
cnf(i_0_1606,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_Omkbot(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X1),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851]) ).
cnf(i_0_1607,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_851]) ).
cnf(i_0_1608,plain,
c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),v_b____,v_a____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852]) ).
cnf(i_0_1609,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_852]) ).
cnf(i_0_1610,plain,
c_in(c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),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_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931]) ).
cnf(i_0_1611,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_931]) ).
cnf(i_0_1612,plain,
c_in(c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),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_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932]) ).
cnf(i_0_1613,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_932]) ).
cnf(i_0_1614,plain,
c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(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_Lattices_Olower__semilattice__class_Oinf(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)),X3,X3,X3),c_Product__Type_OSigma(X2,c_COMBK(X2,tc_fun(X3,tc_bool),X3),X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647]) ).
cnf(i_0_1615,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1616,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1617,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_647]) ).
cnf(i_0_1618,plain,
c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3,X3,X3),c_Relation_Orel__comp(X2,X2,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653]) ).
cnf(i_0_1619,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1620,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1621,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_653]) ).
cnf(i_0_1622,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732]) ).
cnf(i_0_1623,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_732]) ).
cnf(i_0_1624,plain,
~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804]) ).
cnf(i_0_1625,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_804]) ).
cnf(i_0_1626,plain,
~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805]) ).
cnf(i_0_1627,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_805]) ).
cnf(i_0_1628,plain,
~ c_Relation_Orefl__on(c_Set_Oinsert(X1,X2,X3),c_Relation_OImage(c_Relation_OId(X4),c_Arrow__Order__Mirabelle_Omkbot(X5,X1),X4,X4),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861]) ).
cnf(i_0_1629,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1630,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1631,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_861]) ).
cnf(i_0_1632,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_bool),X3,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984]) ).
cnf(i_0_1633,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_bool),tc_bool),
inference(rename_variables,[],[i_0_1434]) ).
cnf(i_0_1634,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_984]) ).
cnf(i_0_1635,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_bool),X3,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1116,i_0_1121,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986]) ).
cnf(i_0_1636,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_bool),tc_bool),
inference(rename_variables,[],[i_0_1434]) ).
cnf(i_0_1637,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_986]) ).
cnf(i_0_1638,plain,
~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),X2,tc_fun(tc_prod(X1,X1),tc_bool)),X1),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031]) ).
cnf(i_0_1639,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1640,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_1031]) ).
cnf(i_0_1641,plain,
c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oimage(X2,c_Set_Oimage(X3,X4,tc_bool,X5),X5,X6),tc_fun(X6,tc_bool)),X6),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837]) ).
cnf(i_0_1642,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1643,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_837]) ).
cnf(i_0_1644,plain,
~ c_in(c_Pair(v_a____,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,X1),X2,X2),v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777]) ).
cnf(i_0_1645,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1646,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_777]) ).
cnf(i_0_1647,plain,
~ c_in(c_Pair(X1,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,v_a____),X2,X2),v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778]) ).
cnf(i_0_1648,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OImage(c_Relation_OId(X3),c_Arrow__Order__Mirabelle_Omkbot(X4,X2),X3,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1406]) ).
cnf(i_0_1649,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_778]) ).
cnf(i_0_1650,plain,
~ c_Equiv__Relations_Oequiv(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_b____,v_a____,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)),X1,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_Set_Oinsert(c_Pair(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_b____,v_a____,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)),X1,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),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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827]) ).
cnf(i_0_1651,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2,X2,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_1363]) ).
cnf(i_0_1652,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_827]) ).
cnf(i_0_1653,plain,
~ c_Equiv__Relations_Oequiv(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Transitive__Closure_Ortrancl(c_Relation_Oinv__image(c_Set_Oinsert(c_Pair(hAPP(X1,X2),hAPP(X1,c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X3,X3),X4,tc_prod(X3,X3)),X1,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)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828]) ).
cnf(i_0_1654,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(rename_variables,[],[i_0_1367]) ).
cnf(i_0_1655,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_828]) ).
cnf(i_0_1656,plain,
c_lessequals(c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,X3,X5),c_Product__Type_OSigma(X2,X4,X3,X5),tc_fun(tc_prod(X3,X5),tc_bool)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624]) ).
cnf(i_0_1657,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1124]) ).
cnf(i_0_1658,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_624]) ).
cnf(i_0_1659,plain,
c_lessequals(c_Relation_OImage(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(tc_prod(X3,X4),tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4),c_Relation_OImage(X2,X6,X3,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792]) ).
cnf(i_0_1660,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1661,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_792]) ).
cnf(i_0_1662,plain,
hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X5),X6,tc_fun(X7,tc_bool)),X2)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061]) ).
cnf(i_0_1663,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1039]) ).
cnf(i_0_1664,plain,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1061]) ).
cnf(i_0_1665,plain,
~ c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_Relation_Oinv__image(c_Set_Oinsert(c_Pair(hAPP(X1,X2),hAPP(X1,X2),X3,X3),X4,tc_prod(X3,X3)),X1,X3,X5),X5),X5),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736]) ).
cnf(i_0_1666,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(rename_variables,[],[i_0_1367]) ).
cnf(i_0_1667,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(rename_variables,[],[i_0_1367]) ).
cnf(i_0_1668,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_736]) ).
cnf(i_0_1669,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Olower__semilattice__class_Oinf(X1,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017]) ).
cnf(i_0_1670,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1671,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_1017]) ).
cnf(i_0_1672,plain,
c_in(c_Pair(X1,X2,X3,X3),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3,X3),X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712]) ).
cnf(i_0_1673,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(rename_variables,[],[i_0_1270]) ).
cnf(i_0_1674,plain,
c_in(c_Pair(X1,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)),
inference(rename_variables,[],[i_0_881]) ).
cnf(i_0_1675,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_712]) ).
cnf(i_0_1676,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Lattices_Oupper__semilattice__class_Osup(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_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221]) ).
cnf(i_0_1677,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1678,plain,
~ c_in(c_Lattices_Oupper__semilattice__class_Osup(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(X1,tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219]) ).
cnf(i_0_1679,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1680,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2),c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2),tc_fun(X3,tc_bool)) = c_Relation_OId__on(X1,X2),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1421,i_0_1441,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162]) ).
cnf(i_0_1681,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1682,plain,
~ c_Nitpick_Orefl_H(c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_Omkbot(X1,X2),tc_fun(X3,tc_bool)),c_Relation_OImage(c_Relation_OId(X4),tc_Arrow__Order__Mirabelle_Oalt,X4,X4)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225]) ).
cnf(i_0_1683,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1684,plain,
~ c_Nitpick_Orefl_H(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(c_Relation_OId(X3),tc_Arrow__Order__Mirabelle_Oalt,X3,X3),c_Relation_OImage(c_Relation_OId(X3),tc_Arrow__Order__Mirabelle_Oalt,X3,X3),tc_fun(X4,tc_bool))),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226]) ).
cnf(i_0_1685,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1686,plain,
~ c_Wellfounded_Owf(c_Relation_OId(c_Relation_OId__on(X1,X2)),c_Relation_Oconverse(c_Relation_OId__on(X1,X2),X2,X2)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235]) ).
cnf(i_0_1687,plain,
~ c_Wellfounded_Owf(c_Relation_OId(X1),X1),
inference(rename_variables,[],[i_0_1421]) ).
cnf(i_0_1688,plain,
~ c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_Omkbot(X1,X2),tc_fun(X3,tc_bool)),c_Set_Oinsert(c_Pair(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X6,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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245]) ).
cnf(i_0_1689,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1690,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))),c_Lattices_Oupper__semilattice__class_Osup(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_fun(X6,tc_bool))),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247]) ).
cnf(i_0_1691,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1692,plain,
~ c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_fun(X1,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250]) ).
cnf(i_0_1693,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1694,plain,
~ c_Relation_Osym(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),c_Lattices_Oupper__semilattice__class_Osup(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251]) ).
cnf(i_0_1695,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1696,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Oupper__semilattice__class_Osup(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_fun(X1,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1421,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220]) ).
cnf(i_0_1697,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1698,plain,
~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),c_Relation_OId(X1),tc_fun(X2,tc_bool)),X1),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234]) ).
cnf(i_0_1699,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1700,plain,
~ c_fequal(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(c_Relation_OId(X1),v_a____,X1,X1),c_Relation_OImage(c_Relation_OId(X1),v_a____,X1,X1),tc_fun(X2,tc_bool)),v_b____,X3),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238]) ).
cnf(i_0_1701,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1702,plain,
~ c_fequal(c_Relation_OImage(c_Relation_OId(X1),v_a____,X1,X1),c_Lattices_Oupper__semilattice__class_Osup(v_b____,v_b____,tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239]) ).
cnf(i_0_1703,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1704,plain,
~ c_Equiv__Relations_Oequiv(c_Lattices_Oupper__semilattice__class_Osup(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Arrow__Order__Mirabelle_Omkbot(X1,X2),tc_fun(X3,tc_bool)),c_Set_Oinsert(c_Pair(c_Pair(X4,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X5,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),X6,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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252]) ).
cnf(i_0_1705,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1706,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))),c_Lattices_Oupper__semilattice__class_Osup(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_fun(X6,tc_bool))),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254]) ).
cnf(i_0_1707,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1708,plain,
~ c_Relation_Orefl__on(c_Arrow__Order__Mirabelle_Omkbot(X1,X2),c_Lattices_Oupper__semilattice__class_Osup(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))),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_fun(X6,tc_bool)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246]) ).
cnf(i_0_1709,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1710,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_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743]) ).
cnf(i_0_1711,plain,
c_in(c_Arrow__Order__Mirabelle_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X1),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_1284]) ).
cnf(i_0_1712,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_843]) ).
cnf(i_0_1713,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_743]) ).
cnf(i_0_1714,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_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X1),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744]) ).
cnf(i_0_1715,plain,
c_in(c_Arrow__Order__Mirabelle_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X1),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_1284]) ).
cnf(i_0_1716,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_843]) ).
cnf(i_0_1717,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_744]) ).
cnf(i_0_1718,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(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761]) ).
cnf(i_0_1719,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_761]) ).
cnf(i_0_1720,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(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1294,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754]) ).
cnf(i_0_1721,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_754]) ).
cnf(i_0_1722,plain,
~ c_Relation_Ototal__on(c_Set_Oinsert(v_a____,c_Set_Oinsert(v_b____,X1,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X2,v_a____),c_Arrow__Order__Mirabelle_Omkbot(X3,v_a____),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789]) ).
cnf(i_0_1723,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(rename_variables,[],[i_0_1294]) ).
cnf(i_0_1724,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(rename_variables,[],[i_0_1291]) ).
cnf(i_0_1725,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(rename_variables,[],[i_0_1289]) ).
cnf(i_0_1726,plain,
c_in(X1,c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),X4),
inference(rename_variables,[],[i_0_1279]) ).
cnf(i_0_1727,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))
| X1 = X2
| ~ c_in(X1,X5,X3)
| ~ c_Relation_Ototal__on(X5,X4,X3)
| ~ c_in(X2,X5,X3) ),
inference(rename_variables,[],[i_0_789]) ).
cnf(i_0_1728,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_Obelow(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,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_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741]) ).
cnf(i_0_1729,plain,
~ c_in(c_Pair(X1,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Obelow(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1428]) ).
cnf(i_0_1730,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_741]) ).
cnf(i_0_1731,plain,
v_b____ = v_a____,
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884]) ).
cnf(i_0_1732,plain,
( 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))
| X1 = X2 ),
inference(rename_variables,[],[i_0_884]) ).
cnf(i_0_1733,plain,
~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(c_Relation_OId(c_Relation_OId__on(X1,X2)),c_Relation_OId(c_Relation_OId__on(X1,X2)),c_Relation_OId__on(X1,X2),c_Relation_OId__on(X1,X2),c_Relation_OId__on(X1,X2)),c_Relation_Orel__comp(X3,c_Relation_OId(c_Relation_OId__on(X1,X2)),c_Relation_OId__on(X1,X2),c_Relation_OId__on(X1,X2),c_Relation_OId__on(X1,X2)),tc_fun(tc_prod(c_Relation_OId__on(X1,X2),c_Relation_OId__on(X1,X2)),tc_bool)),X3,tc_fun(tc_prod(c_Relation_OId__on(X1,X2),c_Relation_OId__on(X1,X2)),tc_bool)),c_Relation_OId__on(X1,X2)),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620]) ).
cnf(i_0_1734,plain,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X3,X3,X3),c_Relation_Orel__comp(X2,X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3) ),
inference(rename_variables,[],[i_0_620]) ).
cnf(i_0_1735,plain,
~ c_in(v_b____,c_Relation_ODomain(c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____),v_a____,v_b____),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737]) ).
cnf(i_0_1736,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_737]) ).
cnf(i_0_1737,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(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)),X4)
| c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X2,X3,c_Lattices_Olower__semilattice__class_Oinf(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)),X4),X3,X4) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728]) ).
cnf(i_0_1738,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1739,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_728]) ).
cnf(i_0_1740,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| c_in(c_Pair(c_Pair(X4,X4,X5,X5),c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(X2,hAPP(X3,c_Pair(X4,X4,X5,X5)),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6),tc_prod(X5,X5),X6),c_Product__Type_OSigma(c_Relation_Orel__comp(c_Set_Oinsert(c_Pair(X4,X4,X5,X5),X7,tc_prod(X5,X5)),c_Set_Oinsert(c_Pair(X4,X4,X5,X5),X7,tc_prod(X5,X5)),X5,X5,X5),X3,tc_prod(X5,X5),X6),tc_prod(tc_prod(X5,X5),X6)) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798]) ).
cnf(i_0_1741,plain,
( ~ 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))
| ~ c_in(X3,X6,X5) ),
inference(rename_variables,[],[i_0_798]) ).
cnf(i_0_1742,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| ~ c_Relation_Ototal__on(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(v_a____,c_Set_Oinsert(v_b____,X7,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_Set_Oinsert(v_a____,c_Set_Oinsert(v_b____,X7,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_fun(X8,tc_bool)),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X9,v_a____),c_Arrow__Order__Mirabelle_Omkbot(X10,v_a____),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1709,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798,i_0_1222]) ).
cnf(i_0_1743,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1744,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| ~ c_Relation_Ototal__on(c_Set_Oinsert(v_a____,c_Set_Oinsert(v_b____,X7,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X8,v_a____),c_Arrow__Order__Mirabelle_Omkbot(X9,v_a____),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X8,v_a____),c_Arrow__Order__Mirabelle_Omkbot(X9,v_a____),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_fun(X10,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1709,i_0_1743,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798,i_0_1222,i_0_1223]) ).
cnf(i_0_1745,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1746,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| ~ c_Relation_Ototal__on(c_Set_Oinsert(v_a____,c_Set_Oinsert(v_b____,X7,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X8,v_a____),c_Arrow__Order__Mirabelle_Omkbot(X9,v_a____),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Lattices_Oupper__semilattice__class_Osup(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(X10,tc_bool))) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1709,i_0_1743,i_0_1745,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798,i_0_1222,i_0_1223,i_0_1224]) ).
cnf(i_0_1747,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1121]) ).
cnf(i_0_1748,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| c_in(v_a____,c_Relation_ODomain(c_Relation_Oconverse(c_Set_Oinsert(c_Pair(v_b____,v_a____,X7,X7),X8,tc_prod(X7,X7)),X7,X7),X7,X7),X7) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1709,i_0_1743,i_0_1745,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798,i_0_1222,i_0_1223,i_0_1224,i_0_819]) ).
cnf(i_0_1749,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_819]) ).
cnf(i_0_1750,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(v_a____,c_Set_Oinsert(c_Pair(v_b____,v_a____,X7,X7),X8,tc_prod(X7,X7)),X7,X7),v_a____,X7,X7),c_Set_Oinsert(c_Pair(v_b____,v_a____,X7,X7),X8,tc_prod(X7,X7)),tc_prod(X7,X7)) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1709,i_0_1743,i_0_1745,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798,i_0_1222,i_0_1223,i_0_1224,i_0_819,i_0_722]) ).
cnf(i_0_1751,plain,
( ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4)) ),
inference(rename_variables,[],[i_0_722]) ).
cnf(i_0_1752,plain,
( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(X1,c_Product__Type_OSigma(X2,c_COMBK(hAPP(X3,c_Pair(X4,X4,X5,X5)),tc_fun(X6,tc_bool),X6),X6,X6),tc_fun(tc_prod(X6,X6),tc_bool)),X6)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(v_a____,c_Set_Oinsert(c_Pair(v_b____,v_a____,X7,X7),X8,tc_prod(X7,X7)),X7,X7),v_a____,X7,X7),c_Set_Oinsert(c_Pair(v_b____,v_a____,X7,X7),X8,tc_prod(X7,X7)),tc_prod(X7,X7)) ),
inference(scs_inference,[],[i_0_1265,i_0_1363,i_0_1502,i_0_1601,i_0_1651,i_0_1367,i_0_1604,i_0_1654,i_0_1270,i_0_1289,i_0_1630,i_0_1279,i_0_1381,i_0_1387,i_0_1406,i_0_1507,i_0_1516,i_0_1519,i_0_1522,i_0_1542,i_0_1629,i_0_1645,i_0_1401,i_0_1530,i_0_1565,i_0_1477,i_0_1397,i_0_1282,i_0_1284,i_0_1711,i_0_1399,i_0_1486,i_0_1038,i_0_1545,i_0_1548,i_0_1553,i_0_1562,i_0_1571,i_0_1574,i_0_1589,i_0_1616,i_0_1620,i_0_1642,i_0_1660,i_0_1670,i_0_1619,i_0_1039,i_0_1537,i_0_1556,i_0_1559,i_0_1598,i_0_1639,i_0_1116,i_0_1121,i_0_1587,i_0_1677,i_0_1679,i_0_1681,i_0_1683,i_0_1685,i_0_1689,i_0_1691,i_0_1693,i_0_1695,i_0_1697,i_0_1699,i_0_1701,i_0_1703,i_0_1705,i_0_1707,i_0_1709,i_0_1743,i_0_1745,i_0_1421,i_0_1687,i_0_1441,i_0_1448,i_0_1428,i_0_1291,i_0_1592,i_0_1294,i_0_1577,i_0_1350,i_0_1581,i_0_1452,i_0_1434,i_0_1633,i_0_881,i_0_1525,i_0_1124,i_0_843,i_0_1712,i_0_1159,i_0_1456,i_0_1153,i_0_901,i_0_1157,i_0_1264,i_0_724,i_0_825,i_0_849,i_0_974,i_0_975,i_0_1112,i_0_617,i_0_621,i_0_717,i_0_822,i_0_839,i_0_882,i_0_1114,i_0_768,i_0_956,i_0_1034,i_0_648,i_0_718,i_0_726,i_0_811,i_0_899,i_0_914,i_0_915,i_0_964,i_0_850,i_0_649,i_0_916,i_0_917,i_0_618,i_0_1161,i_0_988,i_0_990,i_0_1253,i_0_1088,i_0_639,i_0_776,i_0_823,i_0_829,i_0_830,i_0_851,i_0_852,i_0_931,i_0_932,i_0_647,i_0_653,i_0_732,i_0_804,i_0_805,i_0_861,i_0_984,i_0_986,i_0_1031,i_0_837,i_0_777,i_0_778,i_0_827,i_0_828,i_0_624,i_0_792,i_0_1061,i_0_736,i_0_1017,i_0_712,i_0_1221,i_0_1219,i_0_1162,i_0_1225,i_0_1226,i_0_1235,i_0_1245,i_0_1247,i_0_1250,i_0_1251,i_0_1220,i_0_1234,i_0_1238,i_0_1239,i_0_1252,i_0_1254,i_0_1246,i_0_743,i_0_744,i_0_761,i_0_754,i_0_789,i_0_741,i_0_884,i_0_620,i_0_737,i_0_728,i_0_798,i_0_1222,i_0_1223,i_0_1224,i_0_819,i_0_722,i_0_723]) ).
cnf(i_0_1753,plain,
( ~ c_in(X1,c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X4),X4,X3),X4)
| c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4)) ),
inference(rename_variables,[],[i_0_723]) ).
cnf(i_0_1754,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(rename_variables,[],[i_0_1438]) ).
cnf(i_0_1755,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1756,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1758,plain,
~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(c_Relation_OId(X1),c_Relation_OId(X1),X1,X1,X1),c_Relation_Orel__comp(c_Relation_OId(X1),c_Relation_OId(X1),X1,X1,X1),tc_fun(tc_prod(X1,X1),tc_bool)),c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool)),X1),
inference(scs_inference,[],[i_0_1698,i_0_620]) ).
cnf(i_0_1759,plain,
~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(X1),c_Relation_OId(X1),tc_fun(X2,tc_bool)),X1),
inference(rename_variables,[],[i_0_1698]) ).
cnf(i_0_1760,plain,
( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3)
| ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(X1,X1,X3,X3,X3),c_Relation_Orel__comp(X2,X1,X3,X3,X3),tc_fun(tc_prod(X3,X3),tc_bool)),X2,tc_fun(tc_prod(X3,X3),tc_bool)),X3) ),
inference(rename_variables,[],[i_0_620]) ).
cnf(i_0_1761,plain,
~ c_in(X1,c_Relation_ODomain(c_Relation_Orel__comp(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X2,X1),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4),X5,tc_Arrow__Order__Mirabelle_Oalt,X4,X6),tc_Arrow__Order__Mirabelle_Oalt,X6),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1698,i_0_1576,i_0_620,i_0_738]) ).
cnf(i_0_1762,plain,
~ c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,X3),c_Relation_Orel__comp(c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Omktop(X4,X1),X5,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6),X7,tc_Arrow__Order__Mirabelle_Oalt,X6,X3),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,X3)),
inference(rename_variables,[],[i_0_1576]) ).
cnf(i_0_1763,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_738]) ).
cnf(i_0_1764,plain,
c_in(v_a____,c_Wellfounded_Oacc(c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X1,v_a____),v_b____),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1373,i_0_1698,i_0_1576,i_0_620,i_0_738,i_0_849]) ).
cnf(i_0_1765,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(rename_variables,[],[i_0_1373]) ).
cnf(i_0_1766,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_849]) ).
cnf(i_0_1767,plain,
c_in(c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),X1),X2),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_1373,i_0_1509,i_0_1698,i_0_1576,i_0_620,i_0_738,i_0_849,i_0_974]) ).
cnf(i_0_1768,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_974]) ).
cnf(i_0_1769,plain,
c_in(c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),X1),X2),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_1373,i_0_1509,i_0_1698,i_0_1576,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975]) ).
cnf(i_0_1770,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_975]) ).
cnf(i_0_1771,plain,
~ c_in(c_Pair(X1,v_a____,X2,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_Orel__comp(X3,c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X4,v_a____),v_b____),X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_prod(X2,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1373,i_0_1765,i_0_1509,i_0_1698,i_0_1576,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617]) ).
cnf(i_0_1772,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(rename_variables,[],[i_0_1373]) ).
cnf(i_0_1773,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_617]) ).
cnf(i_0_1774,plain,
c_Recdef_Ocut(X1,c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X2,v_a____),v_b____),v_a____,tc_Arrow__Order__Mirabelle_Oalt,X3) = c_Recdef_Ocut(X4,c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X2,v_a____),v_b____),v_a____,tc_Arrow__Order__Mirabelle_Oalt,X3),
inference(scs_inference,[],[i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1698,i_0_1576,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621]) ).
cnf(i_0_1775,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(rename_variables,[],[i_0_1373]) ).
cnf(i_0_1776,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_621]) ).
cnf(i_0_1777,plain,
~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(c_Lattices_Olower__semilattice__class_Oinf(c_Arrow__Order__Mirabelle_Omkbot(X4,hAPP(X5,X2)),X6,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),X5,tc_Arrow__Order__Mirabelle_Oalt,X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1698,i_0_1576,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717]) ).
cnf(i_0_1778,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(rename_variables,[],[i_0_1401]) ).
cnf(i_0_1779,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_717]) ).
cnf(i_0_1780,plain,
~ c_Equiv__Relations_Oequiv(X1,c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),c_Relation_OImage(c_Relation_OId(X2),tc_Arrow__Order__Mirabelle_Oalt,X2,X2)),
inference(scs_inference,[],[i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1698,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114]) ).
cnf(i_0_1781,plain,
( c_Relation_Osym(X1,X2)
| ~ c_Equiv__Relations_Oequiv(X3,X1,X2) ),
inference(rename_variables,[],[i_0_1114]) ).
cnf(i_0_1782,plain,
~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(c_Arrow__Order__Mirabelle_Oabove(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____,v_b____),X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(scs_inference,[],[i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1698,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264]) ).
cnf(i_0_1783,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_b____,v_a____,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_1264]) ).
cnf(i_0_1784,plain,
c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oinv__image(c_Transitive__Closure_Ortrancl(c_Set_Oinsert(c_Pair(hAPP(X4,X1),hAPP(X4,X2),X5,X5),X6,tc_prod(X5,X5)),X5),X4,X5,X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1286,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1698,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724]) ).
cnf(i_0_1785,plain,
c_in(X1,c_Transitive__Closure_Ortrancl(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1786,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_724]) ).
cnf(i_0_1787,plain,
c_in(c_Pair(X1,X2,X3,X3),c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(c_Set_Oinsert(c_Pair(X2,X1,X3,X3),X4,tc_prod(X3,X3)),X3),X3,X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1698,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768]) ).
cnf(i_0_1788,plain,
c_in(X1,c_Transitive__Closure_Ortrancl(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1789,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_768]) ).
cnf(i_0_1790,plain,
c_in(X1,c_Relation_ODomain(c_Transitive__Closure_Ortrancl(c_Set_Oinsert(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3)),X3),X3,X3),X3),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1698,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825]) ).
cnf(i_0_1791,plain,
c_in(X1,c_Transitive__Closure_Ortrancl(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1792,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_825]) ).
cnf(i_0_1793,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Product__Type_OSigma(X1,X2,X3,X3),X3,X3),c_Relation_ODomain(c_Relation_Oconverse(c_Product__Type_OSigma(X1,X2,X3,X3),X3,X3),X3,X3),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(c_Product__Type_OSigma(c_Set_Oinsert(X4,X1,X3),X2,X3,X3),X3,X3),c_Relation_ODomain(c_Relation_Oconverse(c_Product__Type_OSigma(c_Set_Oinsert(X4,X1,X3),X2,X3,X3),X3,X3),X3,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1408,i_0_1698,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718]) ).
cnf(i_0_1794,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(rename_variables,[],[i_0_1408]) ).
cnf(i_0_1795,plain,
( ~ c_lessequals(X1,X2,tc_fun(tc_prod(X3,X3),tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X1,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X1,X3,X3),X3,X3),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(X2,X3,X3),c_Relation_ODomain(c_Relation_Oconverse(X2,X3,X3),X3,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_718]) ).
cnf(i_0_1796,plain,
c_lessequals(c_Relation_OImage(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(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_Lattices_Olower__semilattice__class_Oinf(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)),X3,X3,X3),X4,X3,X3),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1408,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726]) ).
cnf(i_0_1797,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_726]) ).
cnf(i_0_1798,plain,
c_lessequals(c_Set_Oimage(X1,c_Product__Type_OSigma(X2,X3,X4,X5),tc_prod(X4,X5),X6),c_Set_Oimage(X1,c_Product__Type_OSigma(c_Set_Oinsert(X7,X2,X4),X3,X4,X5),tc_prod(X4,X5),X6),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811]) ).
cnf(i_0_1799,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_811]) ).
cnf(i_0_1800,plain,
~ c_Wellfounded_Owf(c_Transitive__Closure_Ortrancl(c_Set_Oinsert(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2)),X2),X2),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839]) ).
cnf(i_0_1801,plain,
c_in(X1,c_Transitive__Closure_Ortrancl(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),tc_prod(X3,X3)),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1802,plain,
( ~ c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Wellfounded_Owf(X3,X2) ),
inference(rename_variables,[],[i_0_839]) ).
cnf(i_0_1803,plain,
~ c_Nitpick_Orefl_H(c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X1,v_a____),v_b____),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882]) ).
cnf(i_0_1804,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(rename_variables,[],[i_0_1373]) ).
cnf(i_0_1805,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_882]) ).
cnf(i_0_1806,plain,
c_lessequals(c_Relation_ODomain(c_Product__Type_OSigma(X1,X2,X3,X4),X3,X4),c_Relation_ODomain(c_Product__Type_OSigma(c_Set_Oinsert(X5,X1,X3),X2,X3,X4),X3,X4),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899]) ).
cnf(i_0_1807,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_899]) ).
cnf(i_0_1808,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914]) ).
cnf(i_0_1809,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1810,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_914]) ).
cnf(i_0_1811,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915]) ).
cnf(i_0_1812,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1813,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_915]) ).
cnf(i_0_1814,plain,
c_lessequals(c_Wellfounded_Oacc(c_Product__Type_OSigma(c_Set_Oinsert(X1,X2,X3),X4,X3,X3),X3),c_Wellfounded_Oacc(c_Product__Type_OSigma(X2,X4,X3,X3),X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964]) ).
cnf(i_0_1815,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(rename_variables,[],[i_0_1408]) ).
cnf(i_0_1816,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_964]) ).
cnf(i_0_1817,plain,
c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X3,X4),tc_fun(X4,tc_bool)),X4),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956]) ).
cnf(i_0_1818,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1819,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_956]) ).
cnf(i_0_1820,plain,
c_in(X1,c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(c_Set_Oinsert(X1,X2,tc_prod(X3,X3)),X3),X3),tc_prod(X3,X3)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034]) ).
cnf(i_0_1821,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_1034]) ).
cnf(i_0_1822,plain,
c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X5),X6,tc_fun(X7,tc_bool)),X8),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112]) ).
cnf(i_0_1823,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1112]) ).
cnf(i_0_1824,plain,
~ c_in(v_a____,c_Relation_OImage(c_Arrow__Order__Mirabelle_Omktop(c_Arrow__Order__Mirabelle_Omkbot(X1,v_a____),v_b____),X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648]) ).
cnf(i_0_1825,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(rename_variables,[],[i_0_1373]) ).
cnf(i_0_1826,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_648]) ).
cnf(i_0_1827,plain,
c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Relation_OImage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_684,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648,i_0_916]) ).
cnf(i_0_1828,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_916]) ).
cnf(i_0_1829,plain,
c_lessequals(c_Relation_OImage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Relation_OImage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_684,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648,i_0_916,i_0_917]) ).
cnf(i_0_1830,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_917]) ).
cnf(i_0_1831,plain,
c_in(v_a____,c_Wellfounded_Oacc(c_Arrow__Order__Mirabelle_Omktop(c_Relation_OImage(c_Relation_OId(X1),c_Arrow__Order__Mirabelle_Omkbot(X2,v_a____),X1,X1),v_b____),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1647,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_684,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648,i_0_916,i_0_917,i_0_850]) ).
cnf(i_0_1832,plain,
~ c_in(c_Pair(X1,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,v_a____),X2,X2),v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1647]) ).
cnf(i_0_1833,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_850]) ).
cnf(i_0_1834,plain,
~ c_in(v_a____,c_Relation_OImage(c_Arrow__Order__Mirabelle_Omktop(c_Relation_OImage(c_Relation_OId(X1),c_Arrow__Order__Mirabelle_Omkbot(X2,v_a____),X1,X1),v_b____),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1647,i_0_1832,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_684,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648,i_0_916,i_0_917,i_0_850,i_0_649]) ).
cnf(i_0_1835,plain,
~ c_in(c_Pair(X1,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(c_Relation_OImage(c_Relation_OId(X2),c_Arrow__Order__Mirabelle_Omkbot(X3,v_a____),X2,X2),v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1647]) ).
cnf(i_0_1836,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_649]) ).
cnf(i_0_1837,plain,
~ c_in(c_Pair(v_b____,X1,tc_Arrow__Order__Mirabelle_Oalt,X2),c_Relation_Orel__comp(c_Arrow__Order__Mirabelle_Oabove(c_Arrow__Order__Mirabelle_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____),v_a____,v_b____),X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,X2)),
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1710,i_0_1647,i_0_1832,i_0_1509,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_684,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648,i_0_916,i_0_917,i_0_850,i_0_649,i_0_618]) ).
cnf(i_0_1838,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_Omktop(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,v_a____),v_a____,v_b____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(rename_variables,[],[i_0_1710]) ).
cnf(i_0_1839,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_618]) ).
cnf(i_0_1840,plain,
$false,
inference(scs_inference,[],[i_0_1286,i_0_1785,i_0_1788,i_0_1791,i_0_1801,i_0_1373,i_0_1765,i_0_1772,i_0_1775,i_0_1804,i_0_1710,i_0_1647,i_0_1832,i_0_1509,i_0_1731,i_0_1401,i_0_1408,i_0_1794,i_0_1040,i_0_1809,i_0_1812,i_0_684,i_0_1159,i_0_1662,i_0_1698,i_0_1614,i_0_1576,i_0_1490,i_0_620,i_0_738,i_0_849,i_0_974,i_0_975,i_0_617,i_0_621,i_0_717,i_0_1114,i_0_1264,i_0_724,i_0_768,i_0_825,i_0_718,i_0_726,i_0_811,i_0_839,i_0_882,i_0_899,i_0_914,i_0_915,i_0_964,i_0_956,i_0_1034,i_0_1112,i_0_648,i_0_916,i_0_917,i_0_850,i_0_649,i_0_618,i_0_1161]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT075-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n021.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:55:40 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.97/1.66 % Version : CSE_E---1.7
% 0.97/1.66 % Problem : theBenchmark.p
% 0.97/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 0.97/1.66 % SZS output start CNFRefutation
% See solution above
% 4.93/5.70 % Total time : 1.325s
%------------------------------------------------------------------------------